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<strong>Resolution</strong> <strong>and</strong> <strong>contrast</strong> <strong>enhancement</strong> <strong>in</strong> <strong>evanescent</strong> <strong>wave</strong> imag<strong>in</strong>g<br />

Resolutie en <strong>contrast</strong> verbeter<strong>in</strong>g <strong>in</strong> <strong>evanescent</strong>e golf beeldvorm<strong>in</strong>g<br />

Augmentation de la résolution et le <strong>contrast</strong>e en imagerie par onde évanescente<br />

Read<strong>in</strong>g committee:<br />

prof.dr. H. van Amerongen<br />

dr. D.T.F. Dryden<br />

prof.dr. W.J. Parak<br />

dr.ir. E.J.G. Peterman<br />

prof.em. A.J.W.G. Visser,<br />

Additional jury members:<br />

dr. W. Zuschratter<br />

dr. Y. Bollen<br />

dr. K.I. Anderson<br />

Pr<strong>in</strong>ted by Centurion Pr<strong>in</strong>t<strong>in</strong>g B.V., Wormer<br />

Cover images shows total <strong>in</strong>ternal reflection of a helium-neon laser at 632.8 nm <strong>wave</strong>length<br />

reflect<strong>in</strong>g at the surface of a water tank. Copyrights to Marcel van 't Hoff.<br />

The studies presented <strong>in</strong> this thesis were carried out at the University Paris Descartes <strong>in</strong> the<br />

laboratory of Neurophysiology <strong>and</strong> New Microscopies, <strong>in</strong> the group “Biophysics of<br />

gliotransmitter release”, co-directed by Mart<strong>in</strong> Oheim <strong>and</strong> Nicole Ropert. Some experiments<br />

were conducted <strong>in</strong> cooperation with the group of Anne Feltz at the Ecole Normale Supérieure<br />

(ENS) <strong>in</strong> Paris <strong>and</strong> the group of David Dryden at the University of Ed<strong>in</strong>burgh. My research<br />

was f<strong>in</strong>anced by an EU Marie Curie early-research career development fellowship FP6-2005-<br />

019481 ‘From FLIM to FLIN’ (to M.O.).<br />

2010, Marcel van ’t Hoff


VRIJE UNIVERSITEIT<br />

<strong>Resolution</strong> <strong>and</strong> Contrast Enhancement <strong>in</strong> Evanescent Wave Imag<strong>in</strong>g<br />

ACADEMISCH PROEFSCHRIFT<br />

ter verkrijg<strong>in</strong>g van de graad Doctor aan<br />

de Vrije Universiteit Amsterdam,<br />

op gezag van de rector magnificus<br />

prof.dr. L.M. Bouter,<br />

<strong>in</strong> het openbaar te verdedigen<br />

ten overstaan van de promotiecommissie<br />

van de faculteit der Aard- en Levenswetenschappen<br />

op ma<strong>and</strong>ag 21 juni 2010 om 11.45 uur<br />

<strong>in</strong> de aula van de universiteit,<br />

De Boelelaan 1105<br />

door<br />

Marcel van ’t Hoff<br />

geboren te Ouder-Amstel<br />

ii


promotor:<br />

copromotoren:<br />

prof.dr. H. Lill<br />

dr. M. Oheim<br />

dr. D. Bald<br />

dr. V. Emiliani<br />

iii


“See<strong>in</strong>g, contrary to popular wisdom, isn't believ<strong>in</strong>g.<br />

It's where belief stops, because it isn't needed any more.”<br />

Terry Pratchett, Pyramids<br />

iv


Contents<br />

Chapter 1 General <strong>in</strong>troduction 5<br />

Chapter 2<br />

Screen<strong>in</strong>g by imag<strong>in</strong>g: scal<strong>in</strong>g up s<strong>in</strong>gle DNA-molecule<br />

analysis with a novel parabolic VA-TIRF reflector <strong>and</strong> noise<br />

reduction techniques<br />

33<br />

Chapter 3<br />

A programmable light eng<strong>in</strong>e for quantitative s<strong>in</strong>gle molecule<br />

TIRF <strong>and</strong> HILO imag<strong>in</strong>g<br />

53<br />

Chapter 4 Gett<strong>in</strong>g Across the Plasma Membrane <strong>and</strong> Beyond:<br />

Intracellular Uses of Colloidal Semiconductor Nanocrystals<br />

67<br />

Bibliography 81<br />

Summary 93<br />

Samenvatt<strong>in</strong>g 95<br />

List of publications 97<br />

Dankwoord 98<br />

Appendix 99<br />

1


List of abbreviations<br />

2PEF<br />

AOD<br />

AOM<br />

BFP<br />

BSA<br />

CCD<br />

DNA<br />

DTT<br />

EDTA<br />

EFL<br />

EMCCD<br />

FCS<br />

FITC<br />

FRET<br />

FWHM<br />

HILO<br />

IR<br />

LSM<br />

MTF<br />

NA<br />

NC<br />

OTF<br />

PIC<br />

PSF<br />

PTF<br />

SD<br />

SBR<br />

SIM<br />

SMD<br />

SNR<br />

spFRET<br />

two-photon excitation fluorescence<br />

acousto optic deflector<br />

acousto optic modulator<br />

back focal plane<br />

bov<strong>in</strong>e serum album<strong>in</strong><br />

charge coupled device<br />

deoxyribonucleic acid<br />

di-thiothreitol (a reduc<strong>in</strong>g agent)<br />

ethylene diam<strong>in</strong>e tetraacetic acid<br />

effective focal length<br />

electron-multiply<strong>in</strong>g charge-coupled device<br />

fluorescence correlation spectroscopy<br />

fluoresce<strong>in</strong> isothiocyanate<br />

Förster resonance energy transfer<br />

full width at half maximum<br />

highly <strong>in</strong>cl<strong>in</strong>ed lam<strong>in</strong>ated-sheet observation<br />

<strong>in</strong>frared<br />

laser scann<strong>in</strong>g microscope<br />

modulation transfer function<br />

numerical aperture<br />

semiconductor nanocrystals<br />

object transfer function<br />

peripheral <strong>in</strong>terface microcontroller<br />

po<strong>in</strong>t spread function<br />

phase transfer function<br />

st<strong>and</strong>ard deviation<br />

signal to background ratio<br />

structured illum<strong>in</strong>ation microscopy<br />

s<strong>in</strong>gle-molecule detection<br />

signal-to-noise ratio<br />

s<strong>in</strong>gle pair FRET<br />

2


SVD<br />

TIRF<br />

TIRFM<br />

UV<br />

VA-TIRF<br />

YOYO-1<br />

s<strong>in</strong>gle value decomposition<br />

total <strong>in</strong>ternal reflection fluorescence<br />

TIRF microscopy<br />

ultra violet<br />

variable-angle TIRF<br />

1,1'- (4,4,7,7-tetramethyl-4,7-diazaundecamethylene) bis-4-[3-methyl-2,3-dihydro-(benzo-1,3-oxazole)-2<br />

methyidene]-qu<strong>in</strong>ol<strong>in</strong>ium tetraiodide<br />

3


Chapter 1<br />

General <strong>in</strong>troduction<br />

5


General <strong>in</strong>troduction<br />

Introduction<br />

S<strong>in</strong>ce the <strong>in</strong>vention of the first compound microscope around 1595 by Z. Janssen, we are able<br />

to visualize biological samples <strong>in</strong> great detail. In transmission imag<strong>in</strong>g, the transparency of<br />

the sample generates only a limited image <strong>contrast</strong>. Despite the impressive progress offered<br />

by phase <strong>contrast</strong>, differential <strong>in</strong>terference <strong>contrast</strong> <strong>and</strong> oblique illum<strong>in</strong>ation, biological<br />

microscopy has largely preferred fluorescence for <strong>contrast</strong> generation <strong>and</strong> to highlight specific<br />

subcellular structures. This shift was accompanied by the development of monochromatic<br />

light sources, sensitive cameras <strong>and</strong> the availability of ever better filters to separate excitation<br />

light from emission light. Biological samples can be labeled by genetically encoded(1) or<br />

synthetic fluorophores(2) <strong>and</strong> reveal both static <strong>and</strong> dynamic <strong>in</strong>formation about its processes<br />

<strong>and</strong> environment. Vary<strong>in</strong>g from fixed <strong>in</strong> vitro samples(3) to liv<strong>in</strong>g <strong>in</strong> vivo experiments(4),<br />

fluorescent dyes <strong>and</strong> microscopes are the tools used by biologists <strong>and</strong> physicists to observe<br />

biological processes <strong>in</strong> greater detail.<br />

Fluorescence microscopy is a very evolv<strong>in</strong>g field <strong>in</strong> both physics <strong>and</strong> biology.(5) In this thesis<br />

my aim is; to explore the use of a new fluorophore, the quantum dot, to illustrate the<br />

advantage of a new imag<strong>in</strong>g technique, sp<strong>in</strong>n<strong>in</strong>g total <strong>in</strong>ternal reflection fluorescence<br />

microscopy, <strong>and</strong> to propose a technique to upscale biological experiments <strong>in</strong> total <strong>in</strong>ternal<br />

reflection fluorescence microscopy.<br />

I will first focus on the pr<strong>in</strong>ciples of fluorescence microscopy <strong>and</strong> the result<strong>in</strong>g issues with<br />

resolution <strong>and</strong> <strong>contrast</strong> <strong>in</strong> microscopy. Then I will expla<strong>in</strong> the pr<strong>in</strong>ciples of total <strong>in</strong>ternal<br />

reflection <strong>and</strong> its use <strong>in</strong> microscopy. I cont<strong>in</strong>ue on the use of acousto optic deflectors for beam<br />

control <strong>and</strong> its use <strong>in</strong> overcom<strong>in</strong>g the scatter<strong>in</strong>g of excitation photons <strong>in</strong> total <strong>in</strong>ternal<br />

reflection fluorescence imag<strong>in</strong>g.<br />

6


Chapter 1<br />

A new fluorophore for more sensitive TIRF imag<strong>in</strong>g<br />

In fluorescence microscopy, the <strong>in</strong>terest of biologists is to l<strong>in</strong>k morphological <strong>in</strong>formation<br />

from transmission light to functional imag<strong>in</strong>g of, for example, labeled cells, structures,<br />

organelles, prote<strong>in</strong>s or lig<strong>and</strong>s. By us<strong>in</strong>g optical filters, one is able to separate the excitation<br />

light from the emitted fluorescence. With<strong>in</strong> the cell, there are many molecules able to absorb<br />

light. Each molecule has its own absorption spectrum, although some molecules can absorb<br />

better than others. Also, not every molecule is able to convert the absorbed energy <strong>in</strong>to the<br />

emission of photons efficiently. Synthetically eng<strong>in</strong>eered fluorophores have large absorption<br />

cross sections <strong>and</strong> high quantum yields, which is shown by the percentage figure of emitted<br />

<strong>and</strong> absorbed photons, also def<strong>in</strong>ed as the quantum yield. Also, these dyes can be eng<strong>in</strong>eered<br />

<strong>in</strong> such manner that they are sensitive to the local environment, e.g. pH or Ca 2+ .(6,7).<br />

Label<strong>in</strong>g strategies vary from non-specific to specific label<strong>in</strong>g, where the chosen fluorophores<br />

can either label the whole cell, organelles, structures <strong>and</strong> membranes or rather specific<br />

prote<strong>in</strong>s, DNA or lig<strong>and</strong>s. (1,8,9)<br />

Figure 1 shows the absorption spectra (dashed) <strong>and</strong> emission spectra (solid) of six different quantum dots; Qdot<br />

525 (aqua), Qdot 545 (teal), Qdot 565 (lime), Qdot 585 (yellow), Qdot 605 (orange) <strong>and</strong> Qdot 625 (red). Data<br />

from Invitrogen (Carlsbad, CA)<br />

7


General <strong>in</strong>troduction<br />

In TIRF microscopy, it can be of <strong>in</strong>terest to label DNA molecules which are attached to cover<br />

slips for s<strong>in</strong>gle molecules experiments, or rather to use vesicle membrane sta<strong>in</strong><strong>in</strong>g for s<strong>in</strong>gle<br />

vesicle imag<strong>in</strong>g(10) or track<strong>in</strong>g(11), where<strong>in</strong> the <strong>evanescent</strong> <strong>wave</strong> excites the molecules.<br />

It is useful to observe prote<strong>in</strong>s of <strong>in</strong>terest for as long as possible <strong>and</strong> to obta<strong>in</strong> a maximal<br />

number of photons, so as to ensure high signal-to-noise ratios. Therefore, new fluorophores<br />

are designed. A remarkable fluorophore is the semiconductor nanocrystal, which excels <strong>in</strong><br />

brightness, large Stokes shift <strong>and</strong> high photostability <strong>and</strong> which allows the exploration of<br />

biological phenomena at the s<strong>in</strong>gle-molecule scale with superior temporal resolution <strong>and</strong><br />

spatial precision.(12) In Figure 1 are the absorption <strong>and</strong> emission spectra of six quantum dots<br />

as example shown.<br />

Semiconductor nanocrystals are often referred to as quantum dots, which have a core diameter<br />

of around 2-10 nm. However, due to their hydrophobic shell, they are monodispersed <strong>and</strong> are<br />

not water soluble. Capp<strong>in</strong>g with an additional hydrophilic coat<strong>in</strong>g layer is necessary, but<br />

makes the hydrodynamic diameter larger. Synthetic dyes rely on the promotion of an electron<br />

to a higher energy level for excitation, but quantum dots generate an electron-hole pair<br />

(electron <strong>in</strong> conduction banc, hole <strong>in</strong> valence b<strong>and</strong>), which causes the quantum dot to have a<br />

broad absorption spectrum far <strong>in</strong> to the UV. Variations <strong>in</strong> the particle composition <strong>and</strong> size<br />

result <strong>in</strong> different b<strong>and</strong>-gap energies <strong>and</strong> hence different emission spectra, which are narrow<br />

(FWHM of 25 – 35 nm) <strong>and</strong> customizable from the near UV to the IR (400 – 1350 nm).(13)<br />

Table 1 shows the properties of three fluorophores used <strong>in</strong> fluorescence imag<strong>in</strong>g. The relative brightness is<br />

given by the product of the ext<strong>in</strong>ction coefficient <strong>and</strong> the quantum yield .<br />

Fluorophore Size (nm) (M -1 cm -1 ) (M -1 cm -1 ) kDa Ref.<br />

FITC 1 79,000 0.9 71,100 0.5 – 1.5 (14)<br />

eGFP 4 55,000 0.60 33,000 27 (15,16)<br />

Quantum dot 10-20 10,000 – 100,000 0.80 8,000 – 80,000 30 – 150 (17,18)<br />

8


Chapter 1<br />

Imag<strong>in</strong>g fluorescence by microscopy<br />

An imag<strong>in</strong>g system uses an objective for illum<strong>in</strong>ation <strong>and</strong> fluorescence collection<br />

(‘epifluorescence’), a tube lens to form the image <strong>and</strong> a camera as imag<strong>in</strong>g detector.<br />

In order to collect the fluorescence of a mixture of fluorophores, an imag<strong>in</strong>g system needs to<br />

be used. Such an imag<strong>in</strong>g system consists of an objective for illum<strong>in</strong>ation <strong>and</strong> fluorescence<br />

collection (‘epifluorescence’), a tube lens to form the image <strong>and</strong> a camera as the imag<strong>in</strong>g<br />

detector.<br />

The objective is a diffractive optic, which results <strong>in</strong> spatial high-pass filter<strong>in</strong>g for far field<br />

microscopic images, due to the cut-off of spatial frequencies by the limited angular<br />

acceptance (‘numerical aperture’) of the objective. As a result, an <strong>in</strong>f<strong>in</strong>itely small po<strong>in</strong>t source<br />

does not form an <strong>in</strong>f<strong>in</strong>itely small po<strong>in</strong>t image, but a broadened 3-D distribution of light, which<br />

is called the po<strong>in</strong>t spread function (PSF). The image formation of the po<strong>in</strong>t depends on the<br />

<strong>wave</strong>length of the emission <strong>and</strong> on the numerical aperture (NA) of the system. The NA<br />

def<strong>in</strong>es the maximal collection angle of the objective. Also, ‘imag<strong>in</strong>g’ implies mapp<strong>in</strong>g out<br />

the fluorophore distribution <strong>in</strong> the sample, i.e. be<strong>in</strong>g able to separate several po<strong>in</strong>t sources.<br />

This leads to the concept of resolution, which def<strong>in</strong>es the m<strong>in</strong>imal distance between two<br />

fluorophores that can still be separated. Of course, the imag<strong>in</strong>g detector must fulfill the<br />

Nyquist criterium, i.e. the pixel-size must match the diffraction-limited resolution so that two<br />

optically resolved po<strong>in</strong>t sources are not imaged on the same pixel but are separable.(19)<br />

In total <strong>in</strong>ternal reflection fluorescence (TIRF) microscopy, the reflection of laser light at a<br />

dielectric <strong>in</strong>terface creates an <strong>evanescent</strong> <strong>wave</strong>. The limited penetration depth of the<br />

<strong>evanescent</strong> <strong>wave</strong> is smaller than the axial extent of the PSF of a confocal laser scann<strong>in</strong>g<br />

microscope (LSM) <strong>and</strong> thus permits super-resolution <strong>in</strong> axial direction <strong>and</strong> optical section<strong>in</strong>g<br />

of the surface fluorescence <strong>and</strong> the background. (20)<br />

By us<strong>in</strong>g two oppos<strong>in</strong>g highly <strong>in</strong>cl<strong>in</strong>ed laser beams, which both create an <strong>evanescent</strong> <strong>wave</strong>, an<br />

<strong>in</strong>terference pattern creates a spatial frequency excitation profile which is higher than <strong>in</strong><br />

regular TIRF <strong>and</strong> thus offers super-resolution <strong>in</strong> lateral direction.(21)<br />

For high resolution <strong>and</strong> <strong>contrast</strong>, fluorophores are required that are smaller than the resolution<br />

limit. Genetically encoded fluorescent prote<strong>in</strong>s offer much <strong>in</strong>formation about localization,<br />

expression <strong>and</strong> <strong>in</strong>teraction of the labeled prote<strong>in</strong>s, but can suffer from abundant label<strong>in</strong>g.<br />

Meanwhile, s<strong>in</strong>gle molecule label<strong>in</strong>g strategies give much <strong>in</strong>sight <strong>in</strong>to the action of a s<strong>in</strong>gle<br />

labeled prote<strong>in</strong>, but require many repetitions <strong>in</strong> order to obta<strong>in</strong> statistically reliable data.<br />

9


General <strong>in</strong>troduction<br />

However, for obta<strong>in</strong><strong>in</strong>g statistical <strong>in</strong>formation, it is required to do many repetitions. S<strong>in</strong>gle<br />

molecules are of <strong>in</strong>terest: however, a s<strong>in</strong>gle fluorophore can easily disappear from the field of<br />

view by photo-destruction, dark-state transition or just because the fluorophore cannot<br />

produce enough photons to overcome the background signal.(22) New fluorophores are now<br />

available which have better properties. As described before, the quantum dot could be an<br />

useful addition to the palette of tools for s<strong>in</strong>gle molecule detection, due to its higher<br />

brightness, higher photostability, <strong>and</strong> narrower spectral emission compared to conventional<br />

organic fluorophores.(23)<br />

Widefield microscopy is limited <strong>in</strong> resolution<br />

When view<strong>in</strong>g an object with conventional wide-field optics, which are free from significant<br />

aberrations, the image formation is limited <strong>in</strong> resolution.(24)Accord<strong>in</strong>g to geometrical optics,<br />

each po<strong>in</strong>t would result <strong>in</strong> a sharp po<strong>in</strong>t image. However, Abbe found that the presence of a<br />

f<strong>in</strong>ite aperture gives rise to complicated patterns of light spread <strong>in</strong> 3-D. When light is<br />

collected from a po<strong>in</strong>t source, the objective lens acts as an aperture <strong>and</strong> distorts the image.(25)<br />

Located <strong>in</strong> the focal plane, an <strong>in</strong>f<strong>in</strong>itely small po<strong>in</strong>t source becomes a circular Airy diffraction<br />

image with a central bright disk <strong>and</strong> weaker concentric dark <strong>and</strong> bright r<strong>in</strong>gs.(26) The radius<br />

of the first dark r<strong>in</strong>g around the central disk of the Airy diffraction images depends on the NA<br />

of the objective <strong>and</strong> the 0 , the <strong>wave</strong>length <strong>in</strong> vacuum.<br />

<br />

Eq. 1<br />

0<br />

rAiry<br />

0.61<br />

NAobj<br />

In Figure 2 one can see the radius of the Airy disc when imaged or when a l<strong>in</strong>e scan is<br />

applied. If two objects are close to each other <strong>and</strong> are of equal brightness, image formation<br />

makes the two blurred spots overlap, see Figure 3.<br />

10


Chapter 1<br />

Figure 2 Po<strong>in</strong>t spread function (Airy disk pattern) of a po<strong>in</strong>t source. The upper component represents the<br />

perception of the light distribution when view<strong>in</strong>g an Airy disc (shown below).<br />

Figure 3 The distance between two imaged f<strong>in</strong>ite small objects determ<strong>in</strong>es whether the objects can be separated<br />

<strong>and</strong> thus can be seen as two <strong>in</strong>dividual objects, or whether they will appear as one s<strong>in</strong>gle object with twice the<br />

<strong>in</strong>tensity. Only when the distance is larger or equal to the radius of the Airy disc, the two spots can be separated.<br />

Here the <strong>in</strong>tensities of the blue <strong>and</strong> yellow objects are normalized to 1, the lateral distance is normalized by the<br />

NA of the system <strong>and</strong> 0 , <strong>and</strong> therefore is dimensionless. Source: www.olympusfluoview.com<br />

The limitation <strong>in</strong> lateral resolution is less directly visible when imag<strong>in</strong>g one focal plane, but is<br />

clearly visible when mak<strong>in</strong>g stacks <strong>in</strong> depth (z-stacks). In a 3D diffraction pattern, the<br />

distance from the center to the first axial m<strong>in</strong>imum (<strong>in</strong> object space dimension) is given by<br />

11


General <strong>in</strong>troduction<br />

r<br />

n<br />

0<br />

axial<br />

2<br />

Eq. 2<br />

NA<br />

2<br />

obj<br />

where n is the refractive <strong>in</strong>dex of the object medium. z m<strong>in</strong> corresponds to the distance by<br />

which we have to raise the microscope objective <strong>in</strong> order to focus the first <strong>in</strong>tensity m<strong>in</strong>imum<br />

observed along the axis of the 3D diffraction pattern <strong>in</strong>stead of the central medium. (24)<br />

Start<strong>in</strong>g from Eq. 1 <strong>and</strong> Eq. 2, two simple solutions can be used <strong>in</strong> order to <strong>in</strong>crease the<br />

resolution of the microscope. Firstly, short <strong>wave</strong>lengths can be used. For example, the<br />

detection PSF of Alexa 405 is approximately twice smaller than of Alexa 790 (Invitrogen,<br />

Carlsbad, CA), regardless of the numerical aperture of the objective that is used. Secondly, it<br />

is possible to use high numerical aperture (NA) objectives. Objectives with an NA of 1.65 are<br />

currently available (Olympus, Hamburg, Germany), however, due to total <strong>in</strong>ternal reflection<br />

at the cover slip the effective detection NA is limited to approximately the refractive <strong>in</strong>dex of<br />

the sample, for water n water = 1.33. Nevertheless, for low magnification, it can be of <strong>in</strong>terest of<br />

us<strong>in</strong>g an objective with an high NA.<br />

Airy’s criterion applies both to focus<strong>in</strong>g light on to two diffraction-limited spots close to each<br />

other <strong>and</strong> to separat<strong>in</strong>g two po<strong>in</strong>t emitters nearby. Several techniques have been shown to<br />

break this diffraction-limited resolution.(27-32)<br />

The 3-D image of a s<strong>in</strong>gle po<strong>in</strong>t source is called the po<strong>in</strong>t-spread function (PSF) h, which is a<br />

mathematical convolution of the object o. Where r = (x,y,z), the image of an object equals<br />

i( r)<br />

o(<br />

r)<br />

h(<br />

r)<br />

Eq. 3<br />

For an imag<strong>in</strong>g system the unique PSF h(r) can be measured <strong>and</strong>, with this knowledge the<br />

image i(r) can be deconvolved.(33)<br />

The ability to separate two objects is not only limited <strong>in</strong> the lateral direction, but also <strong>in</strong> the<br />

axial direction. Not only is the image formation of a po<strong>in</strong>t source convolved by the PSF, also<br />

the po<strong>in</strong>t formation of a focused beam by the objective is convolved by the PSF. Both depend<br />

on the NA, refractive <strong>in</strong>dex of the medium <strong>and</strong> the <strong>wave</strong>length excitation for po<strong>in</strong>t formation<br />

or <strong>wave</strong>length of emission for image formation.(34) The Fourier transform of the PSF is<br />

called the optical transfer function (OTF), which conta<strong>in</strong>s the modulation transfer function<br />

(MTF) <strong>and</strong> the phase transfer function (PTF).<br />

OTF( ,<br />

)<br />

MTF(<br />

,<br />

)<br />

PTF(<br />

,<br />

)<br />

Eq. 4<br />

12


Chapter 1<br />

where (,) are the spatial frequencies <strong>in</strong> the x- <strong>and</strong> y-plane, respectively. The OTF describes<br />

the spatial (angular) variation as a function of spatial (angular) frequency. In imag<strong>in</strong>g systems,<br />

the phase component is <strong>in</strong> general not captured. Hence the MTF of the OTF is the most<br />

important part.<br />

Microscopy is limited <strong>in</strong> <strong>contrast</strong><br />

When two self-lum<strong>in</strong>ous po<strong>in</strong>ts are viewed by a microscope, they can be only separated if the<br />

Airy discs do not overlap. To be dist<strong>in</strong>ct, the f<strong>in</strong>al image of the two po<strong>in</strong>ts must have a<br />

reasonable 'dip' between the two peaks <strong>and</strong> must create a higher signal than the surround<strong>in</strong>g<br />

background. The relative <strong>in</strong>tensity <strong>contrast</strong> is described by the follow<strong>in</strong>g formula:<br />

C<br />

I<br />

I<br />

max m<strong>in</strong><br />

Eq. 5<br />

max<br />

<br />

<br />

I<br />

I<br />

m<strong>in</strong><br />

where C st<strong>and</strong>s for the <strong>contrast</strong> <strong>and</strong> thus shows the difference between two signals divided by<br />

the sum. It is therefore not only important to have a large difference between the signal <strong>and</strong><br />

the background, but also to have a low background signal. Autofluorescence produces an<br />

<strong>in</strong>tr<strong>in</strong>sic background signal due to unspecific label<strong>in</strong>g or localization. Common fluorophores<br />

used <strong>in</strong> imag<strong>in</strong>g are much brighter than the autofluorescence of cells <strong>and</strong> thus provide a strong<br />

signal, lead<strong>in</strong>g to a strong <strong>contrast</strong>.<br />

13


General <strong>in</strong>troduction<br />

Imag<strong>in</strong>g beyond the resolution limit<br />

We have seen <strong>in</strong> the previous paragraphs that fluorescence microscopy is limited <strong>in</strong> resolution<br />

<strong>and</strong> <strong>contrast</strong>. I will now discuss techniques that are capable of go<strong>in</strong>g beyond these limits.<br />

The PSF <strong>in</strong> confocal imag<strong>in</strong>g for excitation is not identical to the PSF result<strong>in</strong>g from<br />

emission. The emission is red-shifted due to the Stokes shift <strong>and</strong> thus has a larger PSF.(35)<br />

It can be noticed that effectively reduc<strong>in</strong>g the PSF ex or PSF em enhances the resolution of the<br />

system.<br />

One way of enhanc<strong>in</strong>g the resolution is to <strong>in</strong>crease the NA. The NA of objectives depends on<br />

the refractive <strong>in</strong>dices of the medium <strong>and</strong> on the coupl<strong>in</strong>g medium between objectives <strong>and</strong> the<br />

sample. By us<strong>in</strong>g oil as a coupl<strong>in</strong>g medium, the NA of objectives can reach up to 1.65.<br />

Additionally, us<strong>in</strong>g two (or more) objectives positioned around the sample enlarges the<br />

effective NA, thereby <strong>in</strong>creas<strong>in</strong>g the collection efficiency <strong>and</strong> the resolution. However, an<br />

objective with a larger NA than the refractive <strong>in</strong>dex of the medium would not change the<br />

collection efficiency. Instead, the objective’s magnification plays an important role, with low<br />

magnification reach<strong>in</strong>g higher photon collection efficiencies at equal NA.(36-38)<br />

Electron microscopy (EM) improves the resolution due to the short <strong>wave</strong>length of electrons<br />

(up to 0.1 nm resolution). Despite the nanometric resolution atta<strong>in</strong>ed by EM, the technique is<br />

restricted to imag<strong>in</strong>g fixed biological samples. One recent development therefore uses twophoton<br />

excitation fluorescence microscopy (2PEF) <strong>in</strong> order to observe dynamic processes <strong>in</strong><br />

liv<strong>in</strong>g biological samples. When an <strong>in</strong>terest<strong>in</strong>g event has occurred, the sample is quickly<br />

frozen <strong>and</strong> imaged with an EM microscope to visualize the morphology at high spatial<br />

resolution.(39)<br />

Reduction of the PSF has been a challenge that many people pursue <strong>in</strong> order to obta<strong>in</strong> more<br />

dynamic <strong>in</strong>formation on liv<strong>in</strong>g samples. Recent developments can be split <strong>in</strong>to techniques that<br />

effectively enhance the PSF em or the PSF ex .<br />

Recent super-resolution techniques that enhance the PSF em are photo-activatable localization<br />

microscopy (PALM) <strong>and</strong> stochastic optical reconstruction microscopy (STORM), which are<br />

based on the knowledge that at a given frame of a stack, the label<strong>in</strong>g is sparse <strong>and</strong> fluorescent<br />

po<strong>in</strong>t sources are stochastically not able to overlap their PSFs. Fitt<strong>in</strong>g of the PSF results <strong>in</strong><br />

high precision localization of the po<strong>in</strong>t sources, which amounts to super-resolution.<br />

Unfortunately, these techniques require stacks of images <strong>and</strong> do not yet work at video<br />

rate.(27-29)<br />

14


Chapter 1<br />

One technique for reduc<strong>in</strong>g the PSF ex is to use stimulated emission depletion. This<br />

phenomenon is also used <strong>in</strong> lasers, where an excited molecule is depleted to the ground state<br />

by photon-<strong>in</strong>duction. Doughnut-shaped laser beams deplete the outer-regions of the PSF ex <strong>and</strong><br />

thus reduce the effective excitation PSF.(30) Due to the po<strong>in</strong>t scann<strong>in</strong>g nature <strong>and</strong> the<br />

reduction <strong>in</strong> excited fluorophores, video rate imag<strong>in</strong>g is possible. However, the number of<br />

collected photons is m<strong>in</strong>imal.(40)<br />

Total <strong>in</strong>ternal reflection microscopy for axial resolution <strong>enhancement</strong><br />

A popular technique <strong>in</strong> biological imag<strong>in</strong>g is total <strong>in</strong>ternal reflection fluorescence (TIRF). In<br />

TIRF the reflection of the light, at a dielectric <strong>in</strong>terface, sets up an <strong>evanescent</strong> <strong>wave</strong> that<br />

propagates <strong>in</strong> parallel to the <strong>in</strong>terface. The <strong>in</strong>tensity of the <strong>evanescent</strong> <strong>wave</strong> decays<br />

exponentially <strong>in</strong> z-direction over a distance of ~/5, which is much shorter than what can be<br />

atta<strong>in</strong>ed with a diffraction-limited spot. As a result, fluorophores with<strong>in</strong> a th<strong>in</strong> section of about<br />

100 nm from the surface are excited with an exponentially decreas<strong>in</strong>g probability. The<br />

powerful optical section<strong>in</strong>g allows the visualization of dynamic processes near the surface <strong>and</strong><br />

reduces the background signal. Due to its high <strong>contrast</strong>, TIRF is used <strong>in</strong> many s<strong>in</strong>gle molecule<br />

detection (SMD) experiments, as it removes out-of-focus noise <strong>and</strong> reduces photo bleach<strong>in</strong>g<br />

of fluorophores outside the excitation volume. Nevertheless, <strong>in</strong> its st<strong>and</strong>ard configuration, the<br />

lateral resolution of TIRF microscopy is still diffraction limited.<br />

As children, many must have been fasc<strong>in</strong>ated by the bend<strong>in</strong>g of a straw <strong>in</strong> their favorite<br />

(transparent) beverage, or by the reflection of a fish <strong>in</strong> an aquarium. Refraction <strong>and</strong> reflection<br />

have astonished many scientists, among whom was Newton. In his book from 1704 he<br />

observes refraction, reflection, the destruction of reflection <strong>and</strong> variable partial destruction of<br />

the reflection. Newton describes them as follows:<br />

"The Rays of Light <strong>in</strong> go<strong>in</strong>g out of Glass <strong>in</strong>to a Vacuum, are bent towards the Glass; <strong>and</strong> if<br />

they fall too obliquely on the Vacuum, they are bent backwards <strong>in</strong>to the Glass, <strong>and</strong> totally<br />

reflected; <strong>and</strong> this Reflexion cannot be ascribed to the Resistance of an absolute Vacuum, but<br />

must be caused by the Power of the Glass attract<strong>in</strong>g the Rays at their go<strong>in</strong>g out of it <strong>in</strong>to the<br />

Vacuum, <strong>and</strong> br<strong>in</strong>g<strong>in</strong>g them back. For if the farther Surface of the Glass be moisten’d with<br />

Water or clear Oil, or liquid <strong>and</strong> clear Honey, the Rays which would otherwise be reflected<br />

will go <strong>in</strong>to the Water, Oil or Honey, they go on, because the Attraction of the Glass is almost<br />

balanced <strong>and</strong> rendered <strong>in</strong>effectual by the contrary Attraction to balance that of the Glass, the<br />

15


General <strong>in</strong>troduction<br />

Attraction of the Glass either bends <strong>and</strong> refracts them, or br<strong>in</strong>gs them back <strong>and</strong> reflects<br />

them."<br />

Newton, Opticks (41)<br />

This phenomenon can be expla<strong>in</strong>ed by the penetration of the electromagnetic field <strong>in</strong>to the<br />

rarer medium, for only a fraction of a <strong>wave</strong>length beyond the reflect<strong>in</strong>g surface. The object<br />

brought <strong>in</strong>to proximity <strong>in</strong>teracts with this penetrat<strong>in</strong>g field <strong>and</strong> destroys the total reflection.<br />

So how does the total <strong>in</strong>ternal reflection work? To underst<strong>and</strong> more about refraction <strong>and</strong><br />

reflection, one can use Huygens' concept of elementary <strong>wave</strong>s.(42) This method uses<br />

elementary <strong>wave</strong>s to analyze refraction. Every po<strong>in</strong>t on a primary <strong>wave</strong> front serves as the<br />

source of spherical secondary <strong>wave</strong>s <strong>in</strong> such a way that the primary <strong>wave</strong> front at some later<br />

time becomes the envelope of these <strong>wave</strong>s. Moreover, the <strong>wave</strong>s advance with a speed <strong>and</strong><br />

frequency equal to that of the primary <strong>wave</strong> at each po<strong>in</strong>t <strong>in</strong> space, which is shown <strong>in</strong> Figure<br />

4.<br />

n 2<br />

n 1<br />

Figure 4 Refraction of <strong>wave</strong>s accord<strong>in</strong>g to Huygens. Each po<strong>in</strong>t of an advanc<strong>in</strong>g <strong>wave</strong> front is the center of a<br />

new disturbance <strong>and</strong> the source of a new tra<strong>in</strong> of <strong>wave</strong>s. The new advanc<strong>in</strong>g <strong>wave</strong> as a whole may be regarded as<br />

the sum of all the secondary <strong>wave</strong>s aris<strong>in</strong>g from po<strong>in</strong>ts <strong>in</strong> the medium already traversed.<br />

Huygens' pr<strong>in</strong>ciple was slightly modified by Fresnel to expla<strong>in</strong> why no back <strong>wave</strong> was<br />

formed, <strong>and</strong> Kirchhoff demonstrated that the pr<strong>in</strong>ciple could be derived from the <strong>wave</strong><br />

equation <strong>and</strong> used for reflection, refraction <strong>and</strong> diffraction. (43)<br />

16


Chapter 1<br />

Imag<strong>in</strong>e two media with different <strong>in</strong>dices that are connected to each other, with the refractive<br />

<strong>in</strong>dex of the former be<strong>in</strong>g larger than that of the latter (n 1 > n 2 .), e.g. a block of glass <strong>and</strong> air,<br />

where the the refractive <strong>in</strong>dex of glass is larger than air. When light hits the <strong>in</strong>terface of the<br />

glass <strong>and</strong> air with an angle , the light is partially <strong>in</strong>ternally reflected <strong>and</strong> mostly transmitted,<br />

accord<strong>in</strong>g to Fresnel’s coefficients of reflection <strong>and</strong> transmission, see Figure 5.<br />

First, the transmitted <strong>wave</strong> changes its velocity, which results <strong>in</strong> its refraction away from the<br />

surface normal. This effect is described by Snell’s law, which states that the ratio of s<strong>in</strong>es of<br />

the angles of <strong>in</strong>cidence <strong>and</strong> refraction (s<strong>in</strong> , s<strong>in</strong> ) is equal to the ratio of velocities (v 1 , v 2 ) <strong>in</strong><br />

the two media, or equivalent to the <strong>in</strong>verse ratio of the <strong>in</strong>dices of refraction (n 1 , n 2 )<br />

s<strong>in</strong><br />

v <br />

s<strong>in</strong><br />

v<br />

or<br />

1<br />

2<br />

n <br />

n<br />

2<br />

1<br />

Eq. 6<br />

n1 s<strong>in</strong> n2<br />

s<strong>in</strong><br />

Eq. 7<br />

When monochromatic light hits the surface from with<strong>in</strong> the glass <strong>and</strong> on to the air with an<br />

angle , then the light is partially <strong>in</strong>ternal reflected <strong>and</strong> mostly transmitted. The transmitted<br />

light is refracted <strong>and</strong> refracts away from the surface normal, with an angle .<br />

<br />

n 2<br />

n 1<br />

r <br />

Figure 5 An <strong>in</strong>cident beam reflects partially at the surface accord<strong>in</strong>g to Fresnel's equations, where the angle of<br />

reflection r is equal to the angle of <strong>in</strong>cident . Most light is transmitted <strong>and</strong> refracts at the <strong>in</strong>terface accord<strong>in</strong>g to<br />

Snell's law. Here the refractive <strong>in</strong>dex n 1 is larger than n 2 , thus from Eq. 6, the angle of refraction is larger than<br />

the angle of <strong>in</strong>cident .<br />

17


General <strong>in</strong>troduction<br />

Intuitively, at one po<strong>in</strong>t the right side term of Snell’s law Eq. 9 equals n 2 at larger . When<br />

this happens, the angle of <strong>in</strong>cidence is called the critical angle, as the refracted angle equals<br />

90°. Beyond the critical angle, the refracted angle cannot be found anymore, <strong>and</strong> the light can<br />

only be reflected. Therefore, the critical angle is def<strong>in</strong>ed by<br />

n<br />

<br />

c<br />

arcs<strong>in</strong> 2<br />

Eq. 8<br />

n<br />

1<br />

where n 12 = n 1 /n 2 <strong>and</strong> n 21 = n 2 /n 1 , thus<br />

<br />

c<br />

arcs<strong>in</strong> n 21<br />

Eq. 9<br />

Next, although the angle of <strong>in</strong>cidence is equal to the angle of reflection r , both for <strong>in</strong>ternal<br />

<strong>and</strong> external reflection, the amplitude of reflection depends on the polarization of the light.<br />

Light is an electromagnetic <strong>wave</strong>, where the electric component <strong>and</strong> the magnetic component<br />

def<strong>in</strong>e the polarization of the light beam. At perpendicular polarization, the electric field<br />

vector vibrates <strong>in</strong> the plane perpendicular to the plane of <strong>in</strong>cidence. Equally, at parallel<br />

polarization, the electric vector vibrates <strong>in</strong> the plane of <strong>in</strong>cidence. With Fresnel's equations it<br />

will be easier to underst<strong>and</strong> the forthcom<strong>in</strong>g graph featur<strong>in</strong>g reflection curves of<br />

monochromatic light, Figure 6. Fresnel's equations def<strong>in</strong>e the reflected amplitudes of<br />

perpendicular <strong>and</strong> parallel polarization <strong>and</strong> are given by<br />

<br />

<br />

<br />

<br />

s<strong>in</strong> <br />

r <br />

Eq. 10<br />

<br />

s<strong>in</strong> <br />

<strong>and</strong><br />

<br />

<br />

<br />

<br />

tan <br />

r Eq. 11<br />

//<br />

tan <br />

The reflectivity represents the percentage of reflected power <strong>and</strong> is given by the square of the<br />

amplitude R = r 2 . At illum<strong>in</strong>ation near normal <strong>in</strong>cidence, ~ n 12 , the reflectivity is identical<br />

for both components <strong>and</strong> is equal whether the light strikes the <strong>in</strong>terface from the rarer or the<br />

denser medium <strong>and</strong> is given by<br />

R<br />

0<br />

2<br />

<br />

12<br />

1<br />

1 2<br />

<br />

n<br />

n<br />

12<br />

Eq. 12<br />

At perpendicular polarization, the reflectivity R rises monotonically from R 0 to 100% at<br />

graz<strong>in</strong>g <strong>in</strong>cidence. For parallel polarization, the reflectivity R // decreases at first as the angle<br />

of <strong>in</strong>cidence <strong>in</strong>creases <strong>and</strong> becomes zero at Brewster's angle which is given by<br />

arctan n B 12<br />

Eq. 13<br />

18


Chapter 1<br />

<strong>and</strong> is known as the polariz<strong>in</strong>g angle. Also, it should be noted that B <strong>and</strong> B are<br />

complementary angles <strong>and</strong> thus R // must be zero. This results from tan( B + B ) = tan 90° = ∞.<br />

It can be understood from recall<strong>in</strong>g that for propagat<strong>in</strong>g <strong>wave</strong>s the electric field vector<br />

vibrates <strong>in</strong> a perpendicular way to the direction of propagation <strong>and</strong> lies parallel to the plane of<br />

<strong>in</strong>cidence for parallel polarization. S<strong>in</strong>ce the refracted <strong>and</strong> reflected beams are 90° apart, the<br />

electric field oscillates <strong>in</strong> the direction of R // for the refracted beam <strong>and</strong> therefore there can be<br />

no propagation <strong>in</strong> the reflected beam. All of the power is thus transmitted <strong>in</strong>to medium 1, see<br />

Figure 6.<br />

Figure 6 Reflectivity versus angle of <strong>in</strong>cidence for an <strong>in</strong>terface between media with refractive <strong>in</strong>dices, n 1 = 4 <strong>and</strong><br />

n 2 = 1,33, for light polarized perpendicular, R <strong>and</strong> parallel, R // , to plane of <strong>in</strong>cidence for external reflection<br />

(solid l<strong>in</strong>es) <strong>and</strong> <strong>in</strong>ternal reflection (dashed l<strong>in</strong>es). c , B <strong>and</strong> p are the critical angle, Brewster's angle <strong>and</strong><br />

pr<strong>in</strong>ciple angle, respectively.<br />

19


General <strong>in</strong>troduction<br />

For <strong>in</strong>ternal reflection, when the light approaches the <strong>in</strong>terface from the denser medium, the<br />

reflectivity is aga<strong>in</strong> calculated from Eq. 10 <strong>and</strong> Eq. 11. Curves obta<strong>in</strong>ed are similar to those<br />

for external reflection for a much smaller range of angles of <strong>in</strong>cidence, as shown <strong>in</strong> Figure 6.<br />

Both R <strong>and</strong> R // become 100% at the critical angle c from Eq. 9.<br />

There is also an <strong>in</strong>ternal polariz<strong>in</strong>g angle, p , called the pr<strong>in</strong>cipal angle, which is equal to the<br />

refracted Brewster's angle B . p is the complement of B <strong>and</strong> is given by<br />

<br />

p<br />

arctan n 21<br />

Eq. 14<br />

or<br />

<br />

90 <br />

Eq. 15<br />

<br />

p<br />

B<br />

The transmission of the light over distance can be elegantly demonstrated as shown <strong>in</strong><br />

Newton’s observations for visible light, which however also apply to other forms of electromagnetic<br />

radiation.(41,44,45)<br />

When a lens of large radius is brought <strong>in</strong>to contact with the prism <strong>and</strong> the transmitted light is<br />

detected <strong>in</strong> l<strong>in</strong>e with the light source, a bright spot can be seen. However, the spot size is<br />

larger than the area of contact; furthermore, the edge of the transmitted spot is red, while the<br />

edge of the reflected spot is blue, as <strong>in</strong> Figure 7a.<br />

This experiment shows three phenomena. First, it demonstrates the existence of the<br />

<strong>evanescent</strong> <strong>wave</strong> <strong>and</strong> of its f<strong>in</strong>ite penetration beyond the reflect<strong>in</strong>g <strong>in</strong>terface. Second, although<br />

the white light should be equally transmitted <strong>and</strong> reflected, we can see that the edge of the<br />

transmitted spot is red, while the edge of the reflected spot is blue. This <strong>in</strong>dicates the<br />

<strong>wave</strong>length dependency of the <strong>evanescent</strong> <strong>wave</strong>. Third, this frustrated total reflection shows a<br />

non-absorb<strong>in</strong>g coupl<strong>in</strong>g mechanism whereby the reflectivity is non-discrete as shown by the<br />

fact that the spot size is larger than the area of contact. This can be better expla<strong>in</strong>ed by the<br />

follow<strong>in</strong>g experiment.<br />

20


Chapter 1<br />

A<br />

n 2<br />

n 3<br />

n 1<br />

T<br />

R<br />

B<br />

n 2<br />

n 3<br />

C<br />

100%<br />

T<br />

R<br />

n 1<br />

d<br />

T<br />

T,R<br />

50%<br />

0 0.5 1.0<br />

d / <br />

R<br />

Figure 7 A) Depicts Newton’s first experiment, show<strong>in</strong>g that an <strong>evanescent</strong> <strong>wave</strong> can travel through the gap<br />

between the prism <strong>and</strong> the lens. B) By adjust<strong>in</strong>g the distance between two adjacent prisms of the same refractive<br />

<strong>in</strong>dex, the transmission <strong>and</strong> reflection of <strong>in</strong>ternal reflected light can be changed (n 1 = n 3 ). C) When the distance<br />

between the prisms is <strong>in</strong>f<strong>in</strong>ite, the transmission reaches zero; however, it reaches almost 100% when the two<br />

prisms are connected.<br />

21


General <strong>in</strong>troduction<br />

When white light is hits on a 45° prism <strong>and</strong> is detected at an angle of 90°, the total <strong>in</strong>ternal<br />

reflection of the light source is detected. In Figure 7b <strong>and</strong> 6c, one can see that the transmission<br />

<strong>and</strong> the reflection are not discrete, but cont<strong>in</strong>uous <strong>and</strong> vary with distance.<br />

Here, a third medium n 3 is <strong>in</strong>troduced at a distance from medium n 1 , while n 1 = n 3 . The two<br />

prisms are brought together <strong>and</strong> form a cube with an air gap, while the distance between the<br />

two prisms can be reduced. As <strong>in</strong> the previous experiment, light is <strong>in</strong>itially totally reflected.<br />

When the second prism is brought <strong>in</strong>to proximity, the reflectivity can be cont<strong>in</strong>uously<br />

adjusted between 100% <strong>and</strong> 0%, with as a result a transmission adjusted between 0% <strong>and</strong><br />

100%. As there will be no power loss, T + R = 100%. Also, both the reflected beam <strong>and</strong> the<br />

transmitted beam show all of the properties of the <strong>in</strong>com<strong>in</strong>g beam (e.g. coherence). When the<br />

reflection is made less than total, the reflection is said to be frustrated. Consequently, the<br />

beam of light must penetrate transiently <strong>in</strong> n 2 upon reflection. In addition, the energy can be<br />

coupled without any loss to another medium when they are close to each other. When the<br />

prisms are far apart, the <strong>wave</strong> is unaware of the presence of the other medium <strong>and</strong> all of the<br />

light is reflected.<br />

In conclusion, the electric field amplitude dim<strong>in</strong>ishes exponentially with distance from the<br />

surface,<br />

z d p<br />

E E 0<br />

e<br />

Eq. 16<br />

The depth of penetration d p of the <strong>evanescent</strong> <strong>wave</strong> depends on the angle of <strong>in</strong>cidence ,<br />

refractive <strong>in</strong>dices <strong>and</strong> the <strong>wave</strong>length <strong>and</strong> is given by<br />

d p<br />

<br />

<br />

<br />

<br />

2<br />

2 s<strong>in</strong> n<br />

2<br />

21<br />

Eq. 17<br />

Eq. 16 <strong>and</strong> Eq. 17 describe how the electric field decays from the <strong>in</strong>terface <strong>in</strong>to the rarer<br />

medium. Although it describes the decay, the electric <strong>wave</strong> <strong>in</strong>tensity at the surface is not<br />

constant for different angles of <strong>in</strong>cidence.<br />

The electric field amplitudes at the <strong>in</strong>terface <strong>in</strong> the rarer medium are given by<br />

2cos<br />

E y 0<br />

<br />

n<br />

E x 0<br />

E z 0<br />

<br />

<br />

2<br />

1<br />

1 2<br />

21<br />

2<br />

2 1 2<br />

s<strong>in</strong><br />

n21<br />

cos<br />

2<br />

2 2<br />

2 2<br />

2<br />

1<br />

n 1<br />

1<br />

n s<strong>in</strong><br />

n 1 2<br />

21<br />

21<br />

21<br />

Eq. 18<br />

Eq. 19<br />

2 2<br />

2 2<br />

2<br />

1<br />

n 1<br />

1<br />

n s<strong>in</strong><br />

n 1 2<br />

21<br />

2s<strong>in</strong><br />

cos<br />

21<br />

21<br />

Eq. 20<br />

22


Chapter 1<br />

At perpendicular polarization, only the E y0 has <strong>in</strong>fluence on the electric field potential <strong>and</strong> for<br />

parallel polarization, it can be calculated by calculat<strong>in</strong>g the components separately.<br />

E// E<br />

y0<br />

Eq. 21<br />

2 2<br />

E 1 2<br />

x 0<br />

Ez0<br />

E <br />

Eq. 22<br />

Figure 8 shows the curves for the magnitude of the E fields <strong>and</strong> their variation with angle of<br />

<strong>in</strong>cidence for n 1 = 4 <strong>and</strong> n 2 = 1.33.<br />

At the critical angle from Eq. 9,<br />

2<br />

1<br />

n 1 2<br />

cos <br />

Eq. 23<br />

c<br />

<strong>and</strong> thus<br />

21<br />

E<br />

y0<br />

2<br />

Eq. 24<br />

arises from the fact that the <strong>in</strong>com<strong>in</strong>g <strong>and</strong> reflected amplitudes sum up. E x0 is at the critical<br />

angle zero <strong>and</strong> rises quickly as the angle <strong>in</strong>creases <strong>and</strong> reaches a maximum nearly equal to E y0<br />

<strong>and</strong> f<strong>in</strong>ally decreases towards 0 at graz<strong>in</strong>g <strong>in</strong>cidence.<br />

23


General <strong>in</strong>troduction<br />

Figure 8 shows the electric field amplitude of E 0 for x, y <strong>and</strong> z, <strong>in</strong> black, light grey <strong>and</strong> dark grey solid l<strong>in</strong>es<br />

respectively. Refractive <strong>in</strong>dices are n 1 = 4 <strong>and</strong> n 2 = 1.33. The electric field amplitude E is equal to E y0 <strong>and</strong> E ||<br />

equal to the root sum square of E x0 <strong>and</strong> E z0 , shown by a black dotted l<strong>in</strong>e.<br />

24


Chapter 1<br />

Beam control for chang<strong>in</strong>g the angle of <strong>in</strong>cidence<br />

In objective based TIRF, one focuses the beam <strong>in</strong> the back focal plane (BFP) of the objective.<br />

For s<strong>in</strong>gle beam TIRF, this can be done by a translation stage with fiber based delivery or a<br />

periscope, such that the beam is focused off-axis, which results <strong>in</strong> a high angle of <strong>in</strong>cidence<br />

that goes beyond the critical angle, see Figure 9a. For prism-based TIRF, a mirror placed on a<br />

translation stage changes the angle of <strong>in</strong>cidence as it hits a parabolic mirror see Figure 9b.<br />

A<br />

B<br />

d<br />

translation<br />

stage<br />

d<br />

translation<br />

stage<br />

C<br />

D<br />

d<br />

<br />

<br />

scann<strong>in</strong>g<br />

device<br />

scann<strong>in</strong>g<br />

device<br />

Figure 9 The displacement of the off-centric focused laser relates to the angle of <strong>in</strong>cidence on the sample, which<br />

can be done with a translation stage (a-b) or a scann<strong>in</strong>g device (c-d). A scann<strong>in</strong>g device <strong>in</strong> conjunction with an<br />

<strong>in</strong>terferometer results <strong>in</strong> two <strong>in</strong>terfer<strong>in</strong>g beams (d).<br />

25


General <strong>in</strong>troduction<br />

If one desires to remotely steer the beam, a steer<strong>in</strong>g device is required. For constant angle<br />

deflection, a wedge or translation stage can be used. Motorized mirrors are also a good<br />

solution, but, due to their large <strong>in</strong>ertia, allow only slow angle scans <strong>and</strong> no scann<strong>in</strong>g of<br />

r<strong>and</strong>om patterns. (46,47)<br />

A non-mechanical solution is an acoustic optic device, which operates by creat<strong>in</strong>g a deflect<strong>in</strong>g<br />

Bragg grat<strong>in</strong>g. When monochromatic light hits a crystal through which an acoustic <strong>wave</strong><br />

passes, the beam is diffracted <strong>in</strong>to a number of orders<br />

m<br />

d s<strong>in</strong><br />

Eq. 25<br />

d<br />

with m as <strong>in</strong>teger <strong>and</strong> d as the diffraction angle. For non-normal angle of <strong>in</strong>cidence i ,<br />

m<br />

d(s<strong>in</strong><br />

s<strong>in</strong><br />

)<br />

Eq. 26<br />

d<br />

i<br />

When the grat<strong>in</strong>g is 3-D, this condition becomes more selective <strong>and</strong> at Bragg's angle, d = - i ,<br />

a strong first-order will appear at<br />

2d s<strong>in</strong> d<br />

Eq. 27<br />

The grat<strong>in</strong>g constant d depends on the acoustic <strong>wave</strong>length , which directly relates to the<br />

acoustic velocity <strong>in</strong> the crystal <strong>and</strong> the sound frequency f, such that<br />

f<br />

s<strong>in</strong> d<br />

Eq. 28<br />

2v<br />

An acoustic modulator forms a st<strong>and</strong><strong>in</strong>g <strong>wave</strong> by the propagation of high frequency sound<br />

<strong>wave</strong>s through the crystal, which form a diffraction grat<strong>in</strong>g. Modulation of the frequency <strong>and</strong><br />

amplitude allows to effectively modulate the angle, <strong>wave</strong>length transmission <strong>and</strong>/or <strong>in</strong>tensity.<br />

These devices are divided <strong>in</strong>to three classes: the acoustic optic deflector (), the acoustic optic<br />

tunable filter () <strong>and</strong> the acoustic optic modulator (I), with the maximal <strong>in</strong>tensity relat<strong>in</strong>g to<br />

the maximal transmission efficiency.<br />

The acoustic modulator is placed <strong>in</strong> the focus of the scan lens <strong>and</strong> focuses the beam <strong>in</strong> the<br />

BFP of the objective. A change <strong>in</strong> the driv<strong>in</strong>g frequency is l<strong>in</strong>ked to a change <strong>in</strong> the scan<br />

angle, see Figure 9c.<br />

In conjunction with a Michelson <strong>in</strong>terferometer, a second po<strong>in</strong>t-symmetric beam with equal<br />

angle can be created, see Figure 9d.<br />

26


Chapter 1<br />

The effect of scatter<strong>in</strong>g on TIRF microscopy<br />

The beam profiles of most lasers have a Gaussian <strong>in</strong>tensity <strong>in</strong> x <strong>and</strong> y direction. When a laser<br />

beam is totally <strong>in</strong>ternally reflected, the beam <strong>in</strong>tensity profile is extended <strong>in</strong> the y-direction to<br />

an elliptical Gaussian beam shape. Intuitively, the <strong>evanescent</strong> field <strong>in</strong>tensity has a Gaussian<br />

profile both <strong>in</strong> x- <strong>and</strong> y-direction. Although the <strong>evanescent</strong> field should resemble a 2-D<br />

Gaussian, the emission profile of a mixture of dyes <strong>in</strong> solution with TIRFM tends to have an<br />

elongated profile <strong>in</strong> the direction of the laser light, see Figure 10. Scatter<strong>in</strong>g at refractive<strong>in</strong>dex<br />

boundaries like cellular adhesion sites or <strong>in</strong>tracellular organelles can create<br />

heterogeneity. Biological tissue causes mostly forward scatter<strong>in</strong>g. The light conf<strong>in</strong>ement, by<br />

the <strong>evanescent</strong> field, that is at the orig<strong>in</strong> of the <strong>contrast</strong> <strong>enhancement</strong> observed with these<br />

wide-field fluorescence techniques is compromised, as fluorescence is generated by a<br />

superposition of the spatially conf<strong>in</strong>ed <strong>and</strong> diffuse component of scattered excitation light that<br />

varies across the field (7). Although <strong>in</strong> TIRFM, the time average Poynt<strong>in</strong>g's vector equals<br />

zero, the Poynt<strong>in</strong>g's vector <strong>in</strong> the direction of the laser is oriented <strong>in</strong> parallel to the boundary<br />

as it hits the surface. The emission profile of a dye <strong>in</strong> solution upon TIR shows an elongated<br />

Gaussian profile with a larger field of excitation than predicted.<br />

Figure 10 TIRF image of fluoresce<strong>in</strong> isothiocyanate (FITC) <strong>in</strong> solution excited at = 405 nm. The red trace<br />

shows the l<strong>in</strong>e scan of the emission of FITC. The enlarged excitation volume that shapes as a flare <strong>in</strong> direction of<br />

the laser (left to right) can be clearly seen. Inset shows correspond<strong>in</strong>g BFP image. Scale bar is 5 m.<br />

27


General <strong>in</strong>troduction<br />

Future prospects: Us<strong>in</strong>g structured illum<strong>in</strong>ation for imag<strong>in</strong>g beyond resolution<br />

limit<br />

The convolution of a specimen with the PSF is what can be seen <strong>in</strong> light microscopy. The<br />

Fourier space of this convolution is equal to the multiplication of the specimen’s spectrum<br />

with the optical transfer function (OTF), where the latter is the Fourier transform of the<br />

microscope’s po<strong>in</strong>t spread function. The 2-D image of the OTF is shown <strong>in</strong> Figure 11a <strong>and</strong><br />

directly shows the resolution limit. In order to <strong>in</strong>crease the resolution of a microscope, one<br />

needs to make the OTF larger <strong>in</strong> order to obta<strong>in</strong> higher spatial frequencies.<br />

A wide-field super-resolution technique is structured illum<strong>in</strong>ation microscopy (SIM). In SIM,<br />

<strong>in</strong>terference sets up a high spatial frequency pattern of bright <strong>and</strong> dark stripes that illum<strong>in</strong>ate<br />

the sample <strong>and</strong> hence reveal high-frequency <strong>in</strong>formation <strong>in</strong> the sample by selectively<br />

illum<strong>in</strong>at<strong>in</strong>g some fluorophores only. Thus, the pattern has to be shifted to sequentially<br />

illum<strong>in</strong>ate all fluorophores <strong>in</strong> the sample. As seen <strong>in</strong> Figure 11b, four extra images are added<br />

to the first image, <strong>in</strong> which the OTF has a shift <strong>in</strong> x- or y-direction, (1 <strong>and</strong> 3) or (2 <strong>and</strong> 4)<br />

respectively.<br />

Also, to obta<strong>in</strong> an isotropic resolution <strong>enhancement</strong>, multiple rotations of the pattern are<br />

commonly be<strong>in</strong>g used. By saturat<strong>in</strong>g the fluorophores, non-l<strong>in</strong>ear effects are achieved <strong>and</strong><br />

allow lateral resolution <strong>enhancement</strong>s up to a factor of two. (48)<br />

A<br />

B<br />

k y<br />

k y<br />

2<br />

k x<br />

1<br />

k x<br />

3<br />

r<br />

4<br />

r<br />

q<br />

Figure 11 The OTF of conventional fluorescence microscopy (a) <strong>and</strong> of structured illum<strong>in</strong>ation (b). For the<br />

latter, <strong>in</strong> both x- <strong>and</strong> y-direction two additional images are required <strong>in</strong> order to enlarge the OTF. The passb<strong>and</strong><br />

radius r corresponds to the cutoff frequency r = 4NA/ <strong>and</strong> q = r + (4n)s<strong>in</strong>()/, where n st<strong>and</strong>s for the<br />

refractive <strong>in</strong>dex of the cover slip, is the vacuum <strong>wave</strong>length of excitation <strong>and</strong> is the angle of <strong>in</strong>cidence.<br />

28


Chapter 1<br />

The classical resolution limit specifies a maximum spatial frequency k 0 that can be observed<br />

through the microscope. For a light microscope, k 0 = 2NA / em , where em is the observation<br />

<strong>wave</strong>length an NA is the numerical aperture of the objective.(49)<br />

If the illum<strong>in</strong>ation conta<strong>in</strong>s a spatial frequency k 1 , then each frequency k gives rise to Moiré<br />

fr<strong>in</strong>ges at the difference frequency k – k 1 . Those fr<strong>in</strong>ges will be observable <strong>in</strong> the microscope<br />

if |k – k 1 | < k 0 , i.e. if k lies with<strong>in</strong> a circle of radius k 0 around k 1 . To maximize the resolution of<br />

the image, the illum<strong>in</strong>ation should conta<strong>in</strong> as high spatial frequencies k 1 as possible. The<br />

maximal resolution obta<strong>in</strong>able is k 0 + k 1 , which can be at most ≈ 2k 0 .<br />

In two-photon structured illum<strong>in</strong>ation, the <strong>wave</strong>length is doubled. Although <strong>in</strong> two-photon<br />

confocal microscopy, the resolution is <strong>in</strong>creased due to non-l<strong>in</strong>ear absorption, <strong>in</strong> structured<br />

illum<strong>in</strong>ation this would not <strong>in</strong>crease the resolution. However, it can <strong>in</strong>crease the <strong>contrast</strong> due<br />

to the nonl<strong>in</strong>ear dependence of the excitation probability on the <strong>in</strong>tensity.<br />

The <strong>contrast</strong> of a system is how good the separation is between dark <strong>and</strong> light objects, which<br />

is given by the formula:<br />

C<br />

I<br />

I<br />

max m<strong>in</strong><br />

Eq. 29<br />

max<br />

I<br />

I<br />

m<strong>in</strong><br />

In 2PEF microscopy, the excitation probability of a fluorophore depends on the <strong>in</strong>tensity<br />

squared, so that<br />

I<br />

C'<br />

<br />

I<br />

2<br />

max<br />

2<br />

max<br />

I<br />

I<br />

2<br />

m<strong>in</strong><br />

2<br />

m<strong>in</strong><br />

2C<br />

<br />

1<br />

C<br />

2<br />

Eq. 30<br />

Thus, two-photon absorption can significantly enhance the <strong>contrast</strong> <strong>in</strong> wide field structured<br />

illum<strong>in</strong>ation, though at the cost of resolution.(50)<br />

St<strong>and</strong><strong>in</strong>g <strong>wave</strong>-TIRF both benefits from TIRF <strong>and</strong> SIM for isotropic superresolution<br />

In SIM two <strong>in</strong>terfer<strong>in</strong>g beams set up an <strong>in</strong>terference pattern that reveals high spatial<br />

<strong>in</strong>formation. As applied to TIRF, two coherent counter-propagat<strong>in</strong>g <strong>evanescent</strong> <strong>wave</strong>s<br />

<strong>in</strong>terfere, a structured illum<strong>in</strong>ation pattern arises by the generation of a st<strong>and</strong><strong>in</strong>g <strong>evanescent</strong><br />

<strong>wave</strong> field. The closely spaced nodes <strong>and</strong> ant<strong>in</strong>odes of the st<strong>and</strong><strong>in</strong>g <strong>evanescent</strong> field comb<strong>in</strong>e<br />

optical section<strong>in</strong>g of the specimen with high lateral spatial resolution. The <strong>in</strong>cidence-angle<br />

dependent shorten<strong>in</strong>g of the <strong>evanescent</strong>-field <strong>wave</strong> vector allows the node spac<strong>in</strong>g to be<br />

29


General <strong>in</strong>troduction<br />

varied down to a m<strong>in</strong>imum value of /2n.(51) Adjust<strong>in</strong>g the path length of one of the beams<br />

adjusts the phase <strong>and</strong> thus shifts the illum<strong>in</strong>ation pattern.<br />

In one direction, (1-D) SW-TIRF roughly doubles the x-lateral resolution. Full isotropic 100-<br />

nm resolution can be atta<strong>in</strong>ed by rotat<strong>in</strong>g the <strong>evanescent</strong> fields. By focus<strong>in</strong>g from three<br />

directions, the maximal resolution <strong>in</strong> 2-D can be acquired, as the OTF has higher frequencies<br />

<strong>in</strong> all directions. I propose here to use the programmable light eng<strong>in</strong>e shown <strong>in</strong> Chapter 3,<br />

with a 90° apex angle axicon as shown <strong>in</strong> Figure 9d for a 2-D isotropic super-resolution. In<br />

comb<strong>in</strong>ation with two-photon excitation, the resolution is reduced to 'normal' resolution, as<br />

the <strong>wave</strong>length is doubled, though SW-TIRF doubles the resolution. Nevertheless, the<br />

<strong>in</strong>crease of <strong>contrast</strong> by two-photon absorption could have potential for imag<strong>in</strong>g fa<strong>in</strong>t signals<br />

<strong>in</strong> e.g. s<strong>in</strong>gle molecule detection. F<strong>in</strong>ally, by us<strong>in</strong>g two-photon excitation, the amount of<br />

scatter<strong>in</strong>g could be reduced drastically. (52)<br />

30


Chapter 1<br />

Thesis Outl<strong>in</strong>e<br />

The work presented <strong>in</strong> this thesis aims at improv<strong>in</strong>g the signal to noise <strong>and</strong> signal to<br />

background ratios of an <strong>evanescent</strong> <strong>wave</strong>-imag<strong>in</strong>g microscope. Due to the background signal<br />

rejection of the <strong>evanescent</strong> <strong>wave</strong>, the <strong>contrast</strong> is higher than with other techniques, allow<strong>in</strong>g<br />

fa<strong>in</strong>tly labelled objects to be detected. This is beneficial for s<strong>in</strong>gle molecule detection of<br />

sta<strong>in</strong>ed -DNA. The -DNA was labelled with the <strong>in</strong>tercalat<strong>in</strong>g dye YOYO-1, which results<br />

<strong>in</strong> a bright l<strong>in</strong>e when the molecule is stretched out by a hydrodynamic flow. With the use of<br />

noise reduction techniques <strong>in</strong> the data process<strong>in</strong>g, more accurate <strong>in</strong>formation can be obta<strong>in</strong>ed<br />

on the length of the molecule. Chapter 2 conta<strong>in</strong>s the article “Screen<strong>in</strong>g by imag<strong>in</strong>g: scal<strong>in</strong>g<br />

up s<strong>in</strong>gle-DNA-molecule analysis with a novel parabolic VA-TIRF reflector <strong>and</strong> noisereduction<br />

techniques” by Marcel van 't Hoff, Marcel Reuter, David TF Dryden <strong>and</strong> Mart<strong>in</strong><br />

Oheim. This work is published <strong>in</strong> Physical Chemistry, Chemical Physics. The first <strong>and</strong> second<br />

authors <strong>in</strong>itiated the collaboration, performed experiments <strong>and</strong> data analysis <strong>and</strong> wrote a<br />

prelim<strong>in</strong>ary version of the text. Both authors contributed equally. The last author directed the<br />

work <strong>and</strong> was responsible for the contents of Appendix A <strong>and</strong> writ<strong>in</strong>g the f<strong>in</strong>al manuscript.<br />

Excitation photons <strong>in</strong> <strong>evanescent</strong> <strong>wave</strong> imag<strong>in</strong>g scatter <strong>in</strong> the sample when travel<strong>in</strong>g through a<br />

liv<strong>in</strong>g cell. The scatter direction is anisotropic <strong>and</strong> thus enlarges the excitation volume <strong>in</strong> the<br />

direction of the laser light at the po<strong>in</strong>t of reflection. By rotat<strong>in</strong>g the direction of the laser beam<br />

at the po<strong>in</strong>t of reflection, I show that the scatter direction becomes isotropic <strong>and</strong> thus shows a<br />

uniform, but lowered, background. This can be used to image astrocytes sta<strong>in</strong>ed with the lipid<br />

membrane marker FM1-43 that labels astrocytic lysosomes. In the setup proposed <strong>in</strong> Chapter<br />

3, I used acousto optic deflectors for position<strong>in</strong>g a focused beam <strong>in</strong> the pupil plane of a high-<br />

NA objective, which enables rapid objective switch<strong>in</strong>g <strong>in</strong> TIRF <strong>and</strong> high speed imag<strong>in</strong>g of<br />

e.g. bl<strong>in</strong>k<strong>in</strong>g quantum dots. This chapter is the article “A programmable light eng<strong>in</strong>e for<br />

quantitative s<strong>in</strong>gle molecule TIRF <strong>and</strong> HILO imag<strong>in</strong>g.” by Marcel van 't Hoff, V<strong>in</strong>cent de<br />

Sars <strong>and</strong> Mart<strong>in</strong> Oheim <strong>and</strong> is published <strong>in</strong> Optics Express. The first author conceptualized<br />

<strong>and</strong> built the the microscope, programmed the software, performed experiments <strong>and</strong> analyzed<br />

the data. The second author suggested the PIC controller as an <strong>in</strong>expensive computer <strong>in</strong>terface<br />

<strong>and</strong> contributed <strong>in</strong> the design of the electronics. The third author directed the work <strong>and</strong> was<br />

responsible for the writ<strong>in</strong>g.<br />

The previously mentioned quantum dots are a new type of nanoscopic photolum<strong>in</strong>scent label,<br />

which can be used to label cellular compartments or prote<strong>in</strong>s of <strong>in</strong>terest. The rightness, large<br />

Stokes shift, <strong>and</strong> high photo stability of Quantum dots compared to organic fluorophores<br />

31


General <strong>in</strong>troduction<br />

allow the exploration of biological phenomena at the s<strong>in</strong>gle-molecule scale with superior<br />

temporal resolution <strong>and</strong> spatial precision. Chapter 4 reviews the use of quantum dots for<br />

biological samples <strong>and</strong> is the article “Gett<strong>in</strong>g across the plasma membrane <strong>and</strong> beyond:<br />

<strong>in</strong>tracellular uses of colloidal semiconductor nanocrystals” by Camilla Luccard<strong>in</strong>i, Aleksey<br />

Yakovlev, Stéphane Gaillard, Marcel van ‘t Hoff, Alicia Piera Alberola, Jean-Maurice Mallet,<br />

Wolfgang J. Parak, Anne Feltz <strong>and</strong> Mart<strong>in</strong> Oheim. This work is published <strong>in</strong> the Journal of<br />

Biomedic<strong>in</strong>e <strong>and</strong> Biotechnology. The first two authors performed experiments, the third<br />

author synthetized the organic fluorophores, the fourth author did calculation <strong>and</strong> modell<strong>in</strong>g<br />

work for the time-gated detection of the long-lived Quantum dot photolum<strong>in</strong>escence, the fifth<br />

author was responsible for the synthesis of quantum dots, the last four authors directed the<br />

work <strong>and</strong> were responsible for the <strong>in</strong>itiation of the collaboration <strong>and</strong> writ<strong>in</strong>g.<br />

32


Chapter 2<br />

Screen<strong>in</strong>g by imag<strong>in</strong>g: scal<strong>in</strong>g up s<strong>in</strong>gle DNA-molecule analysis with<br />

a novel parabolic VA-TIRF reflector <strong>and</strong> noise reduction techniques<br />

Published <strong>in</strong> collaboration with Marcel Reuter, David T. F. Dryden <strong>and</strong> Mart<strong>in</strong> Oheim<br />

Physical Chemistry <strong>and</strong> Chemical Physics, accepted (2009)<br />

33


VA-TIRF for s<strong>in</strong>gle molecule imag<strong>in</strong>g<br />

Abstract<br />

Bacteriophage -DNA molecules are frequently used as a scaffold to characterize the action<br />

of s<strong>in</strong>gle prote<strong>in</strong>s unw<strong>in</strong>d<strong>in</strong>g, translocat<strong>in</strong>g, digest<strong>in</strong>g or repair<strong>in</strong>g DNA. However, scal<strong>in</strong>g up<br />

such s<strong>in</strong>gle-DNA molecule experiments under identical conditions to atta<strong>in</strong> statistically<br />

relevant sample sizes rema<strong>in</strong>s challeng<strong>in</strong>g. Additionally the movies obta<strong>in</strong>ed are frequently<br />

noisy <strong>and</strong> difficult to analyze with any precision. We address these two problems here us<strong>in</strong>g,<br />

firstly, a novel variable-angle TIRF reflector composed of a m<strong>in</strong>imal set of optical reflective<br />

elements, <strong>and</strong> secondly, us<strong>in</strong>g S<strong>in</strong>gular Value Decomposition (SVD) to improve the signal to<br />

noise ratio prior to analyz<strong>in</strong>g time-lapse image stacks. As an example, we visualize under<br />

identical optical conditions hundreds of surface-tethered s<strong>in</strong>gle -DNA molecules, sta<strong>in</strong>ed<br />

with the <strong>in</strong>tercalat<strong>in</strong>g dye YOYO-1 iodide, <strong>and</strong> stretched out <strong>in</strong> a microcapillary flow.<br />

Another novelty of our approach is that we arrange on a mechanically driven stage several<br />

capillaries conta<strong>in</strong><strong>in</strong>g sal<strong>in</strong>e, calibration buffer <strong>and</strong> -DNA, respectively, thus extend<strong>in</strong>g the<br />

approach to high-content, high-throughput screen<strong>in</strong>g of s<strong>in</strong>gle molecules. Our lengthmeasurements<br />

of <strong>in</strong>dividual DNA molecules from noise-reduced kymograph images us<strong>in</strong>g<br />

SVD, display a 6-fold enhanced precision compared to raw-data analysis, reach<strong>in</strong>g ~1 kbp<br />

resolution. Comb<strong>in</strong><strong>in</strong>g these two methods, our approach provides a straightforward yet<br />

powerful way of collect<strong>in</strong>g statistically relevant amounts of data <strong>in</strong> a semi-automated manner.<br />

We believe that our conceptually simple technique should be of <strong>in</strong>terest for a broader range of<br />

s<strong>in</strong>gle-molecule studies, well beyond the specific example of -DNA shown here.<br />

34


Chapter 2<br />

Introduction<br />

S<strong>in</strong>gle molecule detection (SMD) us<strong>in</strong>g fluorescence has been developed for more than<br />

decade, <strong>and</strong> formerly bulk techniques like Förster resonance energy transfer (FRET) are <strong>in</strong>creas<strong>in</strong>gly<br />

be<strong>in</strong>g scaled down to the s<strong>in</strong>gle-molecule level, where they start to resolve<br />

fundamental questions <strong>in</strong> biology. Rema<strong>in</strong><strong>in</strong>g challenges <strong>in</strong> this field are (i) to further reduce<br />

the background fluorescence, <strong>and</strong> (ii) to improve the signal-to-noise ratio, particularly of<br />

time-resolved measurements.<br />

DNA molecules from bacteriophage provide an ideal scaffold to study prote<strong>in</strong>/enzyme<br />

<strong>in</strong>teractions with double-str<strong>and</strong>ed DNA at the s<strong>in</strong>gle-molecule level(53,54). For example, the<br />

unw<strong>in</strong>d<strong>in</strong>g <strong>and</strong> digestion by helicases <strong>and</strong> nucleases of s<strong>in</strong>gle fluorescently sta<strong>in</strong>ed -DNA<br />

molecules, stretched out <strong>in</strong> a hydrodynamic flow, can be monitored through the displacement<br />

of YOYO-1 iodide. This dye fluoresces strongly only when <strong>in</strong>tercalated between the base<br />

pairs of double-str<strong>and</strong>ed DNA(55,56). S<strong>in</strong>gle-molecule assays provide <strong>in</strong>formation on the<br />

function of <strong>in</strong>dividual enzymes masked by ensemble averag<strong>in</strong>g <strong>in</strong> bulk assays(57) but rema<strong>in</strong><br />

challeng<strong>in</strong>g(58), because <strong>in</strong> order to collect statistically significant amounts of data, experiments<br />

must be scaled up by detect<strong>in</strong>g many s<strong>in</strong>gle-molecule events sequentially or, preferably,<br />

<strong>in</strong> parallel(53,59,60). This raises a concern about achiev<strong>in</strong>g identical experimental<br />

conditions for each measurement. Stretch<strong>in</strong>g out DNA has been achieved by pull<strong>in</strong>g s<strong>in</strong>gle<br />

molecules with magnetic or optical tweezers(61,62), which are <strong>in</strong>tr<strong>in</strong>sically limited to<br />

h<strong>and</strong>l<strong>in</strong>g one DNA molecule at a time <strong>and</strong> hence impose a considerable complexity <strong>and</strong> timeburden<br />

when significant sample sizes must be reached.<br />

In an attempt to scale up such s<strong>in</strong>gle-molecule assays, we comb<strong>in</strong>ed <strong>evanescent</strong>-field<br />

excitation, microfluidics <strong>and</strong> noise-reduction techniques. Our aim was to achieve highcontent,<br />

high-throughput imag<strong>in</strong>g under the precisely controlled optical conditions of variable-angle<br />

total <strong>in</strong>ternal reflection fluorescence microscopy (VA-TIRFM)(63-65). Our setup<br />

uses an off-axis parabolic reflector to focus a 488-nm laser beam to a tight spot on the <strong>in</strong>ner<br />

wall of a glass microcapillary placed upon a th<strong>in</strong> layer of immersion oil on a hemicyl<strong>in</strong>drical<br />

prism. The illum<strong>in</strong>ation spot thus created has dimensions smaller than the flow channel, yet is<br />

big enough to permit the observation of tens of hydrodynamically stretched DNA molecules<br />

at a time, under identical experimental conditions. Thus, the <strong>evanescent</strong> field is unperturbed<br />

by wall-effects otherwise compromis<strong>in</strong>g the near-<strong>in</strong>terface localization of fluorescence<br />

excitation <strong>and</strong> reduc<strong>in</strong>g the signal-to-background ratio (SBR). Mov<strong>in</strong>g the capillary along the<br />

illum<strong>in</strong>ation spot allows the imag<strong>in</strong>g of several tens of fields-of-view, under identical<br />

35


VA-TIRF for s<strong>in</strong>gle molecule imag<strong>in</strong>g<br />

conditions. We also <strong>in</strong>troduce a rig actuated by a l<strong>in</strong>ear scanner <strong>and</strong> capable of hous<strong>in</strong>g tens of<br />

capillaries side by side, each connected to a perfusion <strong>in</strong>let <strong>and</strong> outlet. Rapidly switch<strong>in</strong>g<br />

between capillaries, we can <strong>in</strong>crease the throughput or directly compare a wide range of<br />

different experimental conditions, each prepared from the same sample <strong>and</strong> loaded <strong>in</strong> a<br />

different capillary. Adjust<strong>in</strong>g the beam angle controls both the <strong>in</strong>tensity <strong>and</strong> penetration depth<br />

of the <strong>evanescent</strong> <strong>wave</strong> <strong>and</strong> reproduces identical SBR across these experiments. We validated<br />

our “screen<strong>in</strong>g by imag<strong>in</strong>g” approach by observ<strong>in</strong>g the reversible uncoil<strong>in</strong>g <strong>and</strong> recoil<strong>in</strong>g of<br />

s<strong>in</strong>gle YOYO-1-labelled -DNA molecules from a fluorescent blob to their full contour<br />

length. Their precise extension was measured from time-resolved image stacks, after S<strong>in</strong>gular<br />

Value Decomposition (SVD) to obta<strong>in</strong> noise reduced images. This type of edge-detection is<br />

analogous to Po<strong>in</strong>t-Spread-Function (PSF) analysis for localiz<strong>in</strong>g s<strong>in</strong>gle molecules with<br />

nanometer precision. Our study provides a generally applicable strategy for study<strong>in</strong>g enzyme<br />

k<strong>in</strong>etics, at the s<strong>in</strong>gle molecule level with a simple <strong>and</strong> <strong>in</strong>expensive (


Chapter 2<br />

<strong>in</strong>- <strong>and</strong> outlets. Plastic 1, 2 or 10-ml syr<strong>in</strong>ges <strong>and</strong> a syr<strong>in</strong>ge pump (Pump 11, Harvard<br />

Apparatus, Holliston, MA, U.S.A.) were used to load the capillaries with both clean<strong>in</strong>g <strong>and</strong><br />

buffer solutions <strong>and</strong> for generat<strong>in</strong>g a cont<strong>in</strong>uous flow.<br />

Prior to experiments, capillaries were r<strong>in</strong>sed by first flush<strong>in</strong>g 10 ml ultrapure water <strong>and</strong><br />

<strong>in</strong>cubation for 30-m<strong>in</strong> with 2% v/v basic Hellmanex detergent (Hellma, Mülheim, Germany).<br />

Thereafter, capillaries were r<strong>in</strong>sed a second time with 10 ml water <strong>and</strong> then flushed with 1 ml<br />

buffer A conta<strong>in</strong><strong>in</strong>g NeutrAvid<strong>in</strong> (20 µg/ml, 15 m<strong>in</strong>), <strong>and</strong> f<strong>in</strong>ally r<strong>in</strong>sed aga<strong>in</strong> with 10 ml<br />

buffer A. 0.2 mg/ml BSA <strong>in</strong> buffer B1 was <strong>in</strong>cubated for 15 m<strong>in</strong>. The result is a capillary the<br />

<strong>in</strong>ner walls of which are coated with NeutrAvid<strong>in</strong> <strong>and</strong> blank spots blocked with BSA. Prior to<br />

load<strong>in</strong>g DNA, the capillaries were purged with 2 ml buffer B1 (flow speeds were 1 ml/m<strong>in</strong>) to<br />

flush any unbound material. In our DNA uncoil<strong>in</strong>g experiments us<strong>in</strong>g TIRFM we used flow<br />

speeds of 0.03 ml/m<strong>in</strong>.<br />

-DNA preparation<br />

50 µl ultra-pure water was mixed with 20 µl -DNA (500 µg/ ml, New Engl<strong>and</strong> Biolabs,<br />

Ipswich, MA, U.S.A.), 8 µl (×10) T4 DNA ligase buffer (New Engl<strong>and</strong> Biolabs) <strong>and</strong> 2 µl<br />

(200 µM) of an oligonucleotide with sequence 5’-GGGCGGCGACCT-3’, tagged with biot<strong>in</strong>-<br />

TEG 568 at its 3’ end <strong>and</strong> complementary to the 5’-AGGTCGCCGCCC-3’ cohesive site (generally<br />

termed cos1) of phage DNA (Eurogentec, Sera<strong>in</strong>g, Belgium). This mixture was<br />

heated for 30 m<strong>in</strong> at 75 °C <strong>in</strong> a water bath <strong>and</strong> allowed to cool overnight. 2 µl of T4 DNA<br />

ligase was added <strong>and</strong> the solution was <strong>in</strong>cubated at room temperature (2 h) after which the<br />

enzyme was heat <strong>in</strong>activated at 65 °C (10 m<strong>in</strong>). This preparation was purified twice on Micro-<br />

Sp<strong>in</strong> S-400 HR columns (Amersham Biosciences, Piscataway, NJ, U.S.A.). 20 µl stocks were<br />

kept frozen until used.<br />

For f<strong>in</strong>al sample preparation, 10 µl of the DNA stock was dissolved <strong>in</strong> 1 ml buffer B1 that<br />

conta<strong>in</strong>ed 100 nM YOYO-1 iodide (Qu<strong>in</strong>ol<strong>in</strong>ium, 1,1'-[1,3-propanediylbis[(dimethylim<strong>in</strong>io)-<br />

3,1- propanediyl]]bis[4-[(3-methyl-2(3H)- benzoxazolylidene)methyl]]-, tetraiodide,<br />

Invitrogen Ltd, Paisley, UK) <strong>and</strong> was left for <strong>in</strong>cubation <strong>in</strong> the dark (30 m<strong>in</strong>). YOYO-1 is a<br />

dimeric cyan<strong>in</strong>e dye with a high-aff<strong>in</strong>ity for nucleic acids. Its quantum yield <strong>in</strong>creases ~1000-<br />

fold when bound to DNA(66). From the amount of DNA <strong>and</strong> the 48,502 base pairs (bp) <strong>in</strong><br />

phage , we estimate ~1 dye molecule/25 bp for the -DNA prepared <strong>in</strong> this way. The DNA<br />

solution was applied <strong>and</strong> <strong>in</strong>cubated for one hour before purg<strong>in</strong>g the capillary with buffer B2,<br />

dur<strong>in</strong>g which observation started.<br />

37


VA-TIRF for s<strong>in</strong>gle molecule imag<strong>in</strong>g<br />

Comb<strong>in</strong>ed epifluorescence <strong>and</strong> <strong>evanescent</strong>-field fluorescence microscopy<br />

For s<strong>in</strong>gle-molecule detection (SMD) we used a capillary-based flow cell loaded with<br />

different buffers <strong>and</strong> illum<strong>in</strong>ated by an elliptic excitation spot generated by a totally <strong>in</strong>ternally<br />

reflected laser beam imp<strong>in</strong>g<strong>in</strong>g at a supercritical angle at the lower wall of the capillary,<br />

Figure 12A. We used a custom microscope built from optical components (microbench,<br />

L<strong>in</strong>os, Gött<strong>in</strong>gen, Germany) <strong>and</strong> pieces of a modular microscope (BXFM Olympus Europe,<br />

Hamburg, Germany). For epifluorescence excitation, the narrowb<strong>and</strong> (18-nm full-width at<br />

half-maximum, FWHM) excitation of a Polychrome II (T.I.L.L. Photonics, Gräfelf<strong>in</strong>g, Germany)<br />

was further narrowed down with a D488/10 b<strong>and</strong>-pass filter (Chroma, Rock<strong>in</strong>gham,<br />

VT, U.S.A.) to remove side b<strong>and</strong>s result<strong>in</strong>g from the diffraction groove, reflected with a<br />

520RZ RazorEdge dichroic mirror (Semrock, Rochester, NY, U.S.A.) <strong>and</strong> focused onto the<br />

sample with a ×40 NA-0.75 air objective (UPLAN FLM, Olympus, Hamburg, Germany).<br />

Fluorescence was collected through the same objective <strong>in</strong> an upright backward epifluorescence<br />

configuration <strong>and</strong> projected on a Cascade 128+ electron-multiply<strong>in</strong>g charge-coupled<br />

device (EMCCD, 24-µm pixel size) camera (Roper Scientific, Tucson, MD, U.S.A.). For<br />

<strong>evanescent</strong>-field excitation, the scattered laser light was rejected with a 488-nm holographic<br />

notch filter (Barr, Newbury, UK). The spectrally broader epifluorescence excitation was<br />

removed with a FF514LP emission long-pass (Chroma).<br />

Capillaries loaded with 1-µM fluoresce<strong>in</strong> isothiocyanate, ultra-pure water, or YOYO-1<br />

labelled -DNA were used for center<strong>in</strong>g the illum<strong>in</strong>ation spot, measur<strong>in</strong>g background fluorescence<br />

result<strong>in</strong>g from the glass <strong>and</strong> immersion oil or to perform length measurements,<br />

respectively. Capillaries were connected to their respective <strong>in</strong>lets <strong>and</strong> outlets <strong>and</strong> arranged <strong>in</strong> a<br />

rung-like manner on a custom rig that was scanned across the illum<strong>in</strong>ation spot us<strong>in</strong>g a<br />

motorised stage. A th<strong>in</strong> layer of ultra-low autofluorescence immersion oil (type FF, Cargille,<br />

Cedar Groove, NJ, U.S.A) provided the optical cont<strong>in</strong>uity between the hemicyl<strong>in</strong>drical lens<br />

<strong>and</strong> the capillaries.<br />

We focused at the bottom of the capillary by tun<strong>in</strong>g the T.I.L.L. polychrome to 520 nm, close<br />

to the cut-on <strong>wave</strong>–length of the dichroic <strong>and</strong> imaged the back-reflection from the capillary<br />

wall. F<strong>in</strong>e focus<strong>in</strong>g was achieved with a piezoelectric focus device (PIFOC, PI-Physik<br />

Instrumente, Waldbronn, Germany). For total <strong>in</strong>ternal reflection fluorescence (TIRF), we<br />

isolated the 488-nm l<strong>in</strong>e of a multi-l<strong>in</strong>e Argon-ion laser (Reliant 150, LaserPhysics, Milton<br />

Green, UK) with a holographic notch filter <strong>and</strong> directed the beam horizontally onto a slanted<br />

38


Chapter 2<br />

planar mirror (M1) that could be displaced along the beam direction on a 25-mm precision<br />

translation mount (L<strong>in</strong>os). The beam hit a f = 50.8-mm 90°-off-axis parabola (Edmund<br />

Scientific NT47-099, York, UK, see Appendix A for details) <strong>and</strong> was reflected onto a custom<br />

truncated cyl<strong>in</strong>drical prism made from Heraeus Suprasil 311 quartz glass (n 2 = 1.463 at 488<br />

nm, Bernard Halle Nachf., Berl<strong>in</strong>, Germany). This prism, together with a th<strong>in</strong> film of <strong>in</strong>dexmatched<br />

immersion oil <strong>and</strong> the lower capillary wall, formed a perfect hemicyl<strong>in</strong>der (see<br />

Appendix A for details). Typical laser powers of the <strong>in</strong>cident beam were measured with the<br />

prism removed <strong>and</strong> were of the order of ~750 µW.<br />

Image acquisition <strong>and</strong> control of all microscope components was performed with Metamorph<br />

v.7.1.2 software (Molecular Devices, Down<strong>in</strong>gtown, PA, U.S.A.).<br />

Kymograph analysis<br />

To study DNA uncoil<strong>in</strong>g <strong>and</strong> recoil<strong>in</strong>g we acquired 500 128× 128-pixel images <strong>in</strong> the<br />

‘stream’ mode (50 to 100-ms exposure times, no b<strong>in</strong>n<strong>in</strong>g), start<strong>in</strong>g with rest<strong>in</strong>g flow <strong>and</strong> actuat<strong>in</strong>g<br />

the syr<strong>in</strong>ge pump dur<strong>in</strong>g acquisition. For image analysis, regions of <strong>in</strong>terest (ROIs)<br />

conta<strong>in</strong><strong>in</strong>g a s<strong>in</strong>gle -DNA molecule were excised from the time-lapse movies conta<strong>in</strong><strong>in</strong>g<br />

typically 10 to 30 molecules, Figure 12B. Depend<strong>in</strong>g on their exact location with<strong>in</strong> the<br />

Gaussian illum<strong>in</strong>ation spot, <strong>in</strong>dividual molecules were exposed to different excitation<br />

<strong>in</strong>tensities <strong>and</strong> hence displayed different signal-to-noise ratio (SNR),<br />

N<br />

N 1 i<br />

<br />

<br />

<br />

SNR 1<br />

2<br />

S<br />

Si<br />

S<br />

Eq. 31<br />

1<br />

where i is an <strong>in</strong>dex over time (or frame number) <strong>and</strong> N is the total number of images <strong>in</strong> the<br />

stack.<br />

For rapid data <strong>in</strong>spection, we graphed as a kymograph the evolution with time of the<br />

fluorescence <strong>in</strong> a l<strong>in</strong>e region drawn through a s<strong>in</strong>gle blob of coiled -DNA (see Figure 12C<br />

for an example). On these x-t representations three features of s<strong>in</strong>gle-DNA molecule<br />

dynamics are readily identified; (i) their bl<strong>in</strong>k<strong>in</strong>g result<strong>in</strong>g from the wiggl<strong>in</strong>g of the loose end<br />

of -DNA <strong>in</strong> the liquid flow, (ii) the loss of <strong>contrast</strong> due to the gradual photobleach<strong>in</strong>g of<br />

<strong>in</strong>tercalated YOYO-1 molecules, <strong>and</strong> (iii) the abrupt loss of fluorescence due to the<br />

detachment of the molecule from the capillary surface.<br />

39


VA-TIRF for s<strong>in</strong>gle molecule imag<strong>in</strong>g<br />

Figure 12 A parabolic variable-angle TIRF reflector for s<strong>in</strong>gle-molecule imag<strong>in</strong>g. (A) Left, schematic layout of<br />

the all-mirror based TIRF reflector. Inset shows the elliptical illum<strong>in</strong>ation spot at the bottom face of a DNAloaded<br />

capillary. (B) Example image stack, display<strong>in</strong>g 10 molecules of YOYO-1-labeled -DNA. Exposure time<br />

was 50 ms, scale bar is 15 µm. (C) Kymograph show<strong>in</strong>g the uncoil<strong>in</strong>g of a s<strong>in</strong>gle -DNA molecule of the same<br />

stack (boxed <strong>in</strong> panel B) under the impact of capillary flow. See ma<strong>in</strong> text for details. Scale bar is 15 µm.<br />

40


Chapter 2<br />

To quantify the uncoil<strong>in</strong>g of a s<strong>in</strong>gle -DNA molecule, we used s<strong>in</strong>gular value decomposition<br />

(SVD). SVD is a technique commonly used <strong>in</strong> de-nois<strong>in</strong>g(55,67) <strong>and</strong> data compression(68).<br />

Briefly, SVD discrim<strong>in</strong>ates aga<strong>in</strong>st noise by decompos<strong>in</strong>g the image matrix <strong>in</strong>to a dom<strong>in</strong>ant<br />

<strong>and</strong> a subord<strong>in</strong>ate part, reveal<strong>in</strong>g which of its subspaces can be attributed to the (<strong>in</strong>formationconta<strong>in</strong><strong>in</strong>g)<br />

signal <strong>and</strong> which can be attributed to noise. For de-nois<strong>in</strong>g, the basic idea is to<br />

reta<strong>in</strong> the <strong>in</strong>formation <strong>in</strong> the signal subspace <strong>and</strong> discard the noise subspace.<br />

SVD takes the m×n image matrix A <strong>and</strong> calculates three matrices U, , <strong>and</strong> V for which<br />

A<br />

*<br />

UV<br />

Eq. 32<br />

is the diagonal m×n matrix <strong>and</strong> U <strong>and</strong> V are unitary matrices hav<strong>in</strong>g m×m <strong>and</strong> n×n<br />

dimension, respectively. Calculat<strong>in</strong>g the SVD consists of f<strong>in</strong>d<strong>in</strong>g the eigenvalues <strong>and</strong><br />

eigenvectors of AA * <strong>and</strong> A * A. The eigenvectors of AA * <strong>and</strong> A * A make up the columns of U <strong>and</strong><br />

V, respectively. Their eigenvalues are the squares of the s<strong>in</strong>gular values for A. These are the<br />

diagonal entries of the matrix <strong>and</strong> arranged <strong>in</strong> descend<strong>in</strong>g order,<br />

1<br />

<br />

0<br />

<br />

0<br />

<br />

<br />

<br />

<br />

0<br />

0<br />

<br />

<br />

<br />

0<br />

0<br />

<br />

0<br />

<br />

0<br />

0<br />

<br />

0<br />

2<br />

0<br />

0<br />

<br />

0<br />

0<br />

0<br />

3<br />

<br />

<br />

<br />

0<br />

0<br />

0<br />

r<br />

0<br />

0<br />

0<br />

0<br />

0<br />

0<br />

0<br />

<br />

0<br />

<br />

<br />

<br />

0<br />

<br />

0<br />

0<br />

<br />

<br />

<br />

<br />

0<br />

<br />

0<br />

<br />

<br />

0<br />

<br />

The matrix A can be approximated by a matrix<br />

Eq. 33<br />

Aˆ v *<br />

ui i i<br />

Eq. 34<br />

k<br />

i1<br />

with rank k> 0 for the reconstruction of an image<br />

matrix. In our case, we systematically used the four largest values of i for image reconstruction.<br />

A sigmoid y A A A ) /(1 exp(( x x ) / )) was fitted to the DNA streams <strong>in</strong> the image<br />

(<br />

1 2<br />

0<br />

2<br />

dx<br />

data, us<strong>in</strong>g MatLab (The Mathworks, Natick, MA, U.S.A.). The difference between the left<br />

<strong>and</strong> right x 0 values determ<strong>in</strong>ed the molecule length <strong>and</strong> the residuals were taken as a measure<br />

41


VA-TIRF for s<strong>in</strong>gle molecule imag<strong>in</strong>g<br />

the quality of the fit. Frames dom<strong>in</strong>ated by bl<strong>in</strong>k<strong>in</strong>g <strong>and</strong> excessive photobleach<strong>in</strong>g yielded<br />

aberrant fit parameters <strong>and</strong> were systematically discarded from analysis (data not shown).<br />

Results <strong>and</strong> discussion<br />

We generated an elliptical, exponentially-decay<strong>in</strong>g excitation volume<br />

I x,<br />

y,<br />

z,<br />

w ) I(<br />

x,<br />

y,0,<br />

w ) exp(<br />

z<br />

/ w ) of dimensions large enough to illum<strong>in</strong>ate tens of<br />

(<br />

z<br />

z<br />

z<br />

molecules, yet sufficiently small to fit with<strong>in</strong> the bore of the capillary to avoid light propagation<br />

<strong>in</strong>to the walls. The latter is important, as light propagation <strong>in</strong>side the walls would<br />

enlarge the excitation volume <strong>and</strong> reduce the SBR. We here used for our proof-of-pr<strong>in</strong>ciple a<br />

rectangular duct (where the height <strong>and</strong> width are comparable). A larger flow channel would<br />

allow for an larger surface excitation <strong>and</strong> hence larger number of molecules observed at a<br />

time, but its hydrodynamic properties would still be prescribed by the vertical channel<br />

dimensions, which – with our moderate-magnification air objective required for high-throughput<br />

imag<strong>in</strong>g - are more a function of the objective work<strong>in</strong>g distance. Above,<br />

w z<br />

<br />

is the penetration depth of the <strong>evanescent</strong> <strong>wave</strong> field set up by total<br />

2 2 2<br />

/ 4<br />

n2<br />

n1<br />

0<br />

s<strong>in</strong><br />

<strong>in</strong>ternal reflection, 0 the vacuum <strong>wave</strong>length of excitation, <strong>and</strong> denotes the beam angle of<br />

the light imp<strong>in</strong>g<strong>in</strong>g on the reflect<strong>in</strong>g <strong>in</strong>terface (n 1 ,n 2 ). In the upright backward total <strong>in</strong>ternal<br />

reflection (TIR) geometry used, Figure 12A, the reflect<strong>in</strong>g <strong>in</strong>terface (n 2 >n 1 ) is formed by the<br />

lower <strong>in</strong>ner wall of a borosilicate capillary with 0.1×1.0-mm bore (see <strong>in</strong>set). The size of the<br />

elliptical illum<strong>in</strong>ation spot is thus given by the waist of the laser beam <strong>in</strong> the specimen plane,<br />

with a short axis w y <strong>and</strong> long axis w <br />

x<br />

w y<br />

/ cos<br />

. Any laser beam with a waist w 0 = 0.65 mm<br />

<strong>and</strong> far-field divergence = 0.95 mrad ≈ 0.054° cannot be focused to any better than<br />

w µ = 193µm where arctan<br />

1<br />

µ w EFL<br />

≈ 0.18° is the focus<strong>in</strong>g angle. EFL = 101.6<br />

w y 0<br />

<br />

0 2<br />

mm is the effective focal length (see Appendix A for details) of the 90°-off-axis parabolic<br />

reflector direct<strong>in</strong>g the beam onto the hemi-cyl<strong>in</strong>drical reflection element (see Figure 15).<br />

Thus, the lateral size of the excitation spot (<strong>in</strong> the 1/e² sense) is roughly five times smaller<br />

than the <strong>in</strong>ner width of the capillary. The TIRF image <strong>in</strong> Figure 12B shows the overall shape<br />

of the illum<strong>in</strong>ation spot from the fa<strong>in</strong>t autofluorescence excited <strong>in</strong> the borosilicate glass. A 2-<br />

D Gaussian fit with the image yields an elliptical illum<strong>in</strong>ation spot with full-width half<br />

maxima (FWHM) 42 <strong>and</strong> 145 µm <strong>in</strong> x <strong>and</strong> y, respectively. In the experimental conditions<br />

used, the correspond<strong>in</strong>g 1.41 x 10 -4 cm 2 ellipse conta<strong>in</strong>ed some ten <strong>in</strong>dividual -DNA<br />

molecules stretched out <strong>in</strong> the hydrodynamic flow, but higher densities can be used for<br />

<br />

42


Chapter 2<br />

smaller molecules. As a corollary, the ratio of the half axes of the fitted 2-D Gaussian can be<br />

used to calculate the beam angle as 72.9°, close to the expected value (73°). With 750 µW<br />

average excitation power, the average excitation <strong>in</strong>tensity <strong>in</strong> the illum<strong>in</strong>ation spot is of the<br />

order of ~5.3 W/cm 2 . Thus, focus<strong>in</strong>g a Gaussian laser beam with an off-axis parabolic mirror<br />

produced an excitation spot suited for capillary-based s<strong>in</strong>gle-molecule TIRF imag<strong>in</strong>g.<br />

We next studied the performance of our TIRF setup for the observation of s<strong>in</strong>gle DNAmolecule<br />

dynamics by imag<strong>in</strong>g YOYO-1-labelled -DNA tethered to the <strong>in</strong>ner capillary wall<br />

via a biot<strong>in</strong>-NeutrAvid<strong>in</strong> l<strong>in</strong>ker. Us<strong>in</strong>g a ×40 NA-0.75 air objective (effective magnification<br />

with the used tube lens was ×43), we visualized, on average, 10 ± 5 fluorescently labelled<br />

DNA molecules <strong>in</strong> the excitation area (n = 10 experiments). In the absence of flow, the<br />

YOYO-1-labelled DNA molecules adopted a r<strong>and</strong>om coil configuration <strong>and</strong> appeared as fluorescent<br />

blobs (1.51 ± 0.46 µm), probably due to averag<strong>in</strong>g over thermally driven shape<br />

fluctuations dur<strong>in</strong>g the time of <strong>in</strong>tegration(69). Activat<strong>in</strong>g the microfluidic flow flushed unbound<br />

-DNA <strong>and</strong> stretched out surface-bound molecules to their full contour length.<br />

43


VA-TIRF for s<strong>in</strong>gle molecule imag<strong>in</strong>g<br />

A<br />

B<br />

Figure 13 Noise reduction by SVD for a length measurements of a s<strong>in</strong>gle DNA-molecule. (A) Left top, raw-data<br />

kymograph (time vs. length, 100 ms exposure time) show<strong>in</strong>g the uncoil<strong>in</strong>g <strong>and</strong> subsequent detachment of an<br />

<strong>in</strong>dividual -DNA molecule <strong>in</strong> the hydrodynamic flow. Right top panel shows the s<strong>in</strong>gular values obta<strong>in</strong>ed by<br />

SVD <strong>in</strong> descend<strong>in</strong>g order. We used the four largest values for image reconstruction, the result<strong>in</strong>g kymograph is<br />

shown <strong>in</strong> the left bottom panel. Right bottom, the l<strong>in</strong>e profile across the raw (red) <strong>and</strong> SVD-treated data (black)<br />

shows that noise is elim<strong>in</strong>ated while the length <strong>in</strong>formation is conserved. (B) Histograms show<strong>in</strong>g the DNA<br />

length determ<strong>in</strong>ed <strong>in</strong> each frame by sigmoid fitt<strong>in</strong>g to the left <strong>and</strong> right ends of the DNA molecule. The precision<br />

of a Gaussian fit is <strong>in</strong>creased 6-fold follow<strong>in</strong>g SVD (Number of frames analysed: n = 67 <strong>and</strong> 84 for raw (red)<br />

<strong>and</strong> SVD data (black), respectively).<br />

44


Chapter 2<br />

We observed the reversible uncoil<strong>in</strong>g of -DNA molecules <strong>in</strong> a hydrodynamic flow of 0.03<br />

<strong>and</strong> 0.1 ml/m<strong>in</strong> with<strong>in</strong> 20 <strong>and</strong> 5 s, respectively (data not shown), which correspond to shear<br />

rates of ~300 <strong>and</strong> 1,000 s -1 respectively, calculated by,<br />

3Q<br />

2<br />

<br />

Eq. 35<br />

2<br />

h<br />

2 0<br />

w0<br />

where Q is the volumetric flow rate, h 0 <strong>and</strong> w 0 are, respectively, the height <strong>and</strong> width of the<br />

rectangular flow channel(70).<br />

S<strong>in</strong>gle-molecule optical measurements of enzyme k<strong>in</strong>etics rely on measur<strong>in</strong>g dynamic<br />

changes <strong>in</strong> the contour length of DNA molecules. Their precision critically depends on the<br />

accuracy of the length measurement <strong>and</strong> thus the image signal-to-noise ratio. Our experiments<br />

clearly confirm the advantage of <strong>evanescent</strong>-field epifluorescence excitation for such<br />

measurements. Uncoil<strong>in</strong>g stretched the DNA molecule, reduc<strong>in</strong>g the number of fluorophores<br />

per pixel <strong>and</strong> thus reduc<strong>in</strong>g the available signal <strong>and</strong> decreas<strong>in</strong>g the signal-to-noise ratio. For<br />

TIRF, the SNR of <strong>in</strong>dividual fully stretched -DNA molecules was 4.68 ± 0.95 (n = 17),<br />

compared to (SNR = 1.98 ± 0.49, n = 8) upon epifluorescence excitation.<br />

Not only did <strong>evanescent</strong>-field observation create the conditions for observ<strong>in</strong>g dynamic<br />

parameters of the otherwise barely visible DNA extension, but by adjust<strong>in</strong>g the beam angle <br />

our parabolic reflector allows to ma<strong>in</strong>tenance of a constant SNR at different molecular<br />

extensions or across experiments (see Appendix B for details).<br />

We measured the precise length of <strong>in</strong>dividual DNA molecules on <strong>in</strong>dividual frames of timeresolved<br />

image stacks by first further reduc<strong>in</strong>g the image noise us<strong>in</strong>g SVD <strong>and</strong> then<br />

employ<strong>in</strong>g an edge-detection rout<strong>in</strong>e. Figure 13 shows, for a fully extended DNA molecule,<br />

how SVD improves the accuracy of such length measurements. The ga<strong>in</strong> <strong>in</strong> precision is about<br />

six-fold, as judged from the width of the histogram (13.50 ± 1.00 µm vs. 13.68 ± 0.17 µm<br />

(mean ± SD), n = 67 <strong>and</strong> 84 image planes, respectively, p>0.05). Thus, as expected, SVD<br />

improves the accuracy of s<strong>in</strong>gle-molecule experiments without affect<strong>in</strong>g their population<br />

average, Figure 14. Measured full contour lengths of s<strong>in</strong>gle DNA molecules <strong>in</strong> our experiments<br />

were of the order of 16 µm, close to the reported literature value of 16 to 16.5<br />

µm(71,72). In as much as the measured lengths did not depend on the shear stress <strong>in</strong>duced by<br />

the liquid flow (data not shown) we can discard <strong>in</strong>complete stretch. Thus, rather than be<strong>in</strong>g<br />

limited by the absolute number of photons our length measurements of s<strong>in</strong>gle-molecule<br />

extension are limited by their fluorescence bl<strong>in</strong>k<strong>in</strong>g due to axial wiggl<strong>in</strong>g on the length-scale<br />

probed by the <strong>evanescent</strong> field (~100 nm) of the loose DNA end. F<strong>in</strong>ally, the improved accuracy<br />

of our length measurements allowed observation of the dim fluorescence of molecules<br />

45


VA-TIRF for s<strong>in</strong>gle molecule imag<strong>in</strong>g<br />

that were stretched out to 18-19 µm. Individual YOYO-1 molecules have been reported to<br />

lengthen double-str<strong>and</strong>ed DNA by 0.4 nm(73), although Prasad et al.(53) have challenged this<br />

assertion for a dye/base-pair ratio of 1/100 or less. The 19 µm maximum measured <strong>in</strong> our<br />

experiments matches the theoretical maximum contour value expected accord<strong>in</strong>g to Bellan et<br />

al.(73) with a YOYO-1 to -DNA labell<strong>in</strong>g ratio of 1/25.<br />

Conclusion<br />

Individual events <strong>in</strong> large heterogeneous ensembles can take different paths from the rest of<br />

the ensemble <strong>and</strong> can only be detected at the s<strong>in</strong>gle-molecule level. Dist<strong>in</strong>ct s<strong>in</strong>gle molecule<br />

behavior can arise from multiple stable conformations, changed diffusion rates <strong>and</strong> chemical<br />

microenvironments, spectral fluctuations <strong>and</strong>, of course, different reaction k<strong>in</strong>etics. Another<br />

issue is the difficulty <strong>in</strong> synchronization <strong>in</strong> most bulk experiments, which obscures <strong>in</strong>dividual<br />

time trajectories <strong>and</strong> <strong>in</strong>teraction pathways(56). Whereas there are smooth <strong>and</strong> cont<strong>in</strong>uous<br />

transitions <strong>in</strong> the bulk, processes at the s<strong>in</strong>gle-molecule level are discrete <strong>and</strong> stochastic.<br />

Furthermore, <strong>in</strong> many biomedical applications there is a need to reduce sample sizes <strong>and</strong>/or<br />

observation volume, thus ultimately lead<strong>in</strong>g to SMD. However, SMD typically yields small<br />

data sets, because it relies on isolat<strong>in</strong>g <strong>and</strong> detect<strong>in</strong>g s<strong>in</strong>gle events. Somewhat counter <strong>in</strong>tuitively,<br />

mean<strong>in</strong>gful s<strong>in</strong>gle-molecule experiments rely on large data sets to unravel diversity.<br />

One technique known to improve the conditions for SMD is total <strong>in</strong>ternal reflection<br />

fluorescence (TIRF), which reduces background by conf<strong>in</strong><strong>in</strong>g fluorescence excitation to a<br />

sub-diffraction optical sheet. Widely used <strong>in</strong> SMD(74,75), with applications rang<strong>in</strong>g from<br />

study<strong>in</strong>g the motility of motor prote<strong>in</strong>s, molecule-surface <strong>and</strong> bi-molecular <strong>in</strong>teractions, monitor<strong>in</strong>g<br />

enzymatic reactions, or observ<strong>in</strong>g the conformational dynamics of macromolecules,<br />

recent work has extended these studies to the <strong>in</strong>vestigation of s<strong>in</strong>gle molecules <strong>in</strong> live<br />

cells(76), e.g., for study<strong>in</strong>g <strong>in</strong>dividual ion-channel gat<strong>in</strong>g.<br />

In the present paper, we address two common problems typically encountered with such SMD<br />

experiments: low signal-to-noise ratio <strong>and</strong> <strong>in</strong>sufficient statistics to make biophysical sense of<br />

the data.<br />

We here show that us<strong>in</strong>g a novel TIRF reflector that offers enough flexibility <strong>and</strong> control over<br />

beam parameters to pro duce raw data with a uniform SNR across experiments, <strong>and</strong> postexperiment<br />

data analysis us<strong>in</strong>g s<strong>in</strong>gular value decomposition (SVD) that can can substantially<br />

improve these issues.<br />

46


Chapter 2<br />

Microfluidics <strong>and</strong> SMD have rapidly developed over the past years, but even larger progess is<br />

expected from their <strong>in</strong>tegration on the same chip(77-80). Our multi-capillary-based SMD<br />

assay extends s<strong>in</strong>gle-molecule fluorescence toward a robotic ‘screen<strong>in</strong>g-by-imag<strong>in</strong>g’<br />

approach. With<strong>in</strong> a s<strong>in</strong>gle field of view, we are able to observe under identical experiment<br />

conditions 10 to 15 <strong>in</strong>dividual DNA molecules simultaneously <strong>and</strong> measure their extension<br />

with 190-nm precision, which translates to ~440-bp resolution (1px <strong>in</strong> the sample plane corresponds<br />

to 24 µm /43 = 558 nm <strong>and</strong> hence ~1,400 bp). SVD-based noise reduction proved to<br />

be a critical step for atta<strong>in</strong><strong>in</strong>g a 6-fold ga<strong>in</strong> <strong>in</strong> the precision of DNA-molecule length<br />

measurements, compared to raw-data analysis. Specifically, our results <strong>in</strong>dicate that the first 4<br />

eigenvalues are sufficient for the faithful reconstruction of DNA molecule length, thus<br />

permitt<strong>in</strong>g considerable data compression, which is a concern for h<strong>and</strong>l<strong>in</strong>g the large data sets<br />

collected <strong>in</strong> s<strong>in</strong>gle-molecule experiments. In pr<strong>in</strong>ciple, us<strong>in</strong>g the comb<strong>in</strong>ation of techniques<br />

proposed here, 1.5-nm localization precision could be achieved, similar to po<strong>in</strong>t-spreadfunction<br />

analysis(71), provided that enough fluorescence photons are available.<br />

Figure 14 Summary of analyzed kymograph images derived from a total of ten TIRF time-lapse movies. The<br />

average DNA contour lengths measured <strong>in</strong> the uncoiled state for n = 53 DNA molecules <strong>and</strong> n = 50 DNA<br />

molecules for raw <strong>and</strong> SVD treated data respectively were 13.34 ± 1.16 µm <strong>and</strong> 13.13 ± 1.40 µm. Kymograph<br />

images for raw data (red) <strong>and</strong> SVD-treated data (black).<br />

Laterally scann<strong>in</strong>g the capillary along its axis through the excitation spot allows observation<br />

of hundreds of molecules, the precise number depend<strong>in</strong>g on the capillary length. This number<br />

is superior to that achieved with other methods for prob<strong>in</strong>g s<strong>in</strong>gle DNA molecules, e.g., bead-<br />

47


VA-TIRF for s<strong>in</strong>gle molecule imag<strong>in</strong>g<br />

tethered -DNA held <strong>in</strong> an optical trap(62), electrosp<strong>in</strong>n<strong>in</strong>g(72), AFM(73), molecular<br />

comb<strong>in</strong>g(81) <strong>and</strong> molecular stretch<strong>in</strong>g(82).<br />

One important constra<strong>in</strong>t imposed by our wish for robotic sample h<strong>and</strong>l<strong>in</strong>g was the use of a<br />

dry, long-work<strong>in</strong>g distance objective with moderate NA <strong>and</strong> magnification (×40 NA-0.75 air).<br />

This choice was motivated by the requirement to image through the upper capillary wall from<br />

above, <strong>and</strong> to scan the rig of capillaries without a change <strong>in</strong> the immersion medium. Our<br />

attempts to work with water immersion so as to atta<strong>in</strong> a better light collection <strong>and</strong> higher<br />

resolution (×60 NA-1.1 water) were not successful, ma<strong>in</strong>ly because the water <strong>and</strong> immersion<br />

oil formed an emulsion that impaired the quality of the oil film coupl<strong>in</strong>g the prism to the<br />

capillaries (not shown).<br />

Beyond the particular use for SMD experiments, our parabolic TIRF reflector provides a<br />

versatile <strong>and</strong> simple platform for TIRF experiments that benefit from tight control of beam<br />

parameters, <strong>in</strong>clud<strong>in</strong>g surface-plasmon resonance, surface-second harmonic generation <strong>and</strong><br />

VA-TIRFM.<br />

Appendices<br />

Appendix A: beam steer<strong>in</strong>g with a parabolic mirror<br />

To be comparable, s<strong>in</strong>gle-molecule experiments should display a roughly equal signal-tonoise<br />

ratio (SNR). As both the <strong>evanescent</strong>-field <strong>in</strong>tensity <strong>and</strong> the penetration depth of the<br />

<strong>evanescent</strong> <strong>wave</strong> depend on the angle of <strong>in</strong>cidence, a simple way to ma<strong>in</strong>ta<strong>in</strong> constant SNR<br />

<strong>in</strong>dependent measurements is to adjust the beam angle . Various geometries have been<br />

proposed for prism-based variable-angle total <strong>in</strong>ternal reflection fluorescence (VA-TIRF),<br />

<strong>in</strong>clud<strong>in</strong>g a parabolic reflector(74). The now commonly chosen 4-f geometry uses a rotary<br />

scann<strong>in</strong>g device (galvanometer, AOD, …), a scan lens, projection lens <strong>and</strong> a hemicyl<strong>in</strong>drical<br />

prism(64). In these devices, the optics are designed to keep the illum<strong>in</strong>ation spot at a constant<br />

midpo<strong>in</strong>t dur<strong>in</strong>g the angle sweep. The result is a fairly bulky <strong>and</strong> expensive TIRF illum<strong>in</strong>ator.<br />

Here, us<strong>in</strong>g all mirror-based optics we implement VA-TIRF with a m<strong>in</strong>imal set of<br />

components. The basic idea is the realization that a parabola reflects all beams <strong>in</strong>cident<br />

parallel to its axis of symmetry through a common focus. Thus, plac<strong>in</strong>g the sample <strong>and</strong><br />

microscope so that the parabola focus, the axis of symmetry <strong>and</strong> the optical axis of the<br />

microscope co<strong>in</strong>cide <strong>in</strong> the focal spot is a simple way to implement VA-TIRF with m<strong>in</strong>imal<br />

aberration. Figure 15 zooms <strong>in</strong> on the parabolic reflector as the segment of a parabola<br />

48


Chapter 2<br />

x 2 f <br />

Eq. 36<br />

y 4<br />

Its vertex co<strong>in</strong>cides with the orig<strong>in</strong> of the Cartesian system<br />

O<br />

xyz<br />

<br />

, its directrix is given by<br />

y f <strong>and</strong> its focus lies <strong>in</strong> the orig<strong>in</strong> of the unprimed system Oxyz . Both coord<strong>in</strong>ate systems<br />

1 T<br />

are related by a rotation-translation operator R R for which<br />

x R x<br />

T<br />

, where<br />

cos(<br />

)<br />

<br />

R s<strong>in</strong>( )<br />

<br />

0<br />

Here, arcs<strong>in</strong>e<br />

x<br />

ex<br />

, <strong>and</strong> e x<br />

<strong>and</strong><br />

s<strong>in</strong>( )<br />

cos( )<br />

0<br />

0<br />

<br />

0<br />

1<br />

<br />

<br />

, <strong>and</strong><br />

0 <br />

<br />

<br />

f <br />

<br />

0 <br />

T Eq. 37<br />

e<br />

x<br />

denote the unit vectors along x of the unprimed <strong>and</strong><br />

primed system, respectively. f is the parabola parent focal length (PFL = 50.8 mm).<br />

0<br />

O'<br />

R<br />

y<br />

y' (mm)<br />

-20<br />

-40<br />

-60<br />

A<br />

dx'<br />

D<br />

C<br />

P'<br />

B<br />

P' 0<br />

Q' Q'<br />

0<br />

r'<br />

l'<br />

'<br />

f<br />

O<br />

x<br />

-100 -50 0 50<br />

x' (mm)<br />

Figure 15 Parameters identify<strong>in</strong>g the optical properties of the parabolic mirror. In red, the surface of the<br />

parabolic mirror (Edmund Optic, Barr<strong>in</strong>gton, NJ, U.S.A.), along with the centre (dash-dotted), lower (dashed)<br />

<strong>and</strong> upper limit<strong>in</strong>g beams (dotted). O is the po<strong>in</strong>t of impact of the reflected beam, i.e., the mid-po<strong>in</strong>t of the<br />

elliptic illum<strong>in</strong>ation spot. See Appendix text for details.<br />

49


VA-TIRF for s<strong>in</strong>gle molecule imag<strong>in</strong>g<br />

In our case, we chose the mirror midpo<strong>in</strong>t P 0<br />

so that the parabola segment forms a 90°-off<br />

axis reflector, i.e., light <strong>in</strong>cident along the midl<strong>in</strong>e Q <br />

0<br />

is focused <strong>in</strong>to O. Any displacement<br />

of the <strong>in</strong>cident beam by<br />

0P<br />

dx QQ<br />

0<br />

results <strong>in</strong> an angular scan about O by an angle ’ that is<br />

related to dx’ by re-express<strong>in</strong>g the parabola <strong>in</strong> polar coord<strong>in</strong>ates,<br />

cos<br />

<br />

x<br />

l<br />

rcos<br />

l<br />

1<br />

<br />

<br />

1 s<strong>in</strong><br />

<br />

d Eq. 38<br />

where l r1<br />

s<strong>in</strong>, r <strong>and</strong> 90 are the semi latus rectum, radius <strong>and</strong> azimuth,<br />

respectively. The commonly used angle of <strong>in</strong>cidence is given by<br />

90 <br />

<br />

, <strong>and</strong> OR<br />

co<strong>in</strong>cides with the microscope optical axis. In the jargon of optical component vendors,<br />

l 2 f is often termed EFL, equivalent focal length, <strong>and</strong> def<strong>in</strong>es the distance P 0<br />

O <strong>and</strong> hence<br />

the distance of the midpo<strong>in</strong>t of the parabolic reflector to the po<strong>in</strong>t of symmetry. Hence, a<br />

lateral displacement of 10 mm of mirror M1 <strong>in</strong> Figure 12A translates <strong>in</strong>to an angular beam<br />

scan of 5.9° about O.<br />

Appendix B: DNA/capillary separation distance<br />

Molecular dipoles located on a dielectric <strong>in</strong>terface or close by (z 0 . The radiation pattern has a lobe structure result<strong>in</strong>g from the<br />

far-field <strong>in</strong>terference of plane <strong>wave</strong>s emitted directly <strong>and</strong> after reflection off the surface.<br />

Radiation <strong>in</strong> this direction is typically quenched as z 0 → 0. On the other h<strong>and</strong>, for larger<br />

separation distances than a quarter <strong>wave</strong>length, the modulation <strong>in</strong> fluorescence becomes<br />

negligible <strong>in</strong> the case of a glass-water <strong>in</strong>terface <strong>and</strong> the fluorescence collected fraction atta<strong>in</strong>s<br />

the geometric limit given by the half-angle captured by the objective NA.<br />

For the NeutrAvid<strong>in</strong> spacer used to tether DNA onto the <strong>in</strong>ner wall of the glass capillary, we<br />

can estimate a typical prote<strong>in</strong> size of 5 nm diameter. The hydrodynamic radius of -DNA was<br />

determ<strong>in</strong>ed to be 350 nm with a radius of gyration of 550 nm. In addition, an end-to-end<br />

distance of 1.27 µm for lambda-DNA <strong>in</strong> the r<strong>and</strong>om-coil state (<strong>in</strong> a 10 mM Tris, 1 mM EDTA<br />

50


Chapter 2<br />

buffer solution, pH 7.5 has been reported. The latter figure matches the mean value we could<br />

derive from our epi-fluorescence measurements.<br />

Appendix C: fluorescence properties of YOYO-1<br />

YOYO-1 has 491/509-nm peak fluorescence excitation/emission, a molar ext<strong>in</strong>ction of 98,000<br />

M -1 cm -1 , <strong>and</strong> a quantum yield of 0.52 (compared to fluoresce<strong>in</strong> <strong>in</strong> 0.1 M NaOH, QY = 0.92).<br />

These values were determ<strong>in</strong>ed for DNA complexes <strong>in</strong> (all mM): 10 Tris, 1 EDTA, 50 NaCl,<br />

pH 7.4.<br />

Acknowledgements<br />

We thank Wolfram Lessner <strong>and</strong> Markus Kron (Max-Planck Institut for Experimental<br />

Medic<strong>in</strong>e, Gött<strong>in</strong>gen) as well as Patrick Piart (Ecole Supérieure de Physique et Chimie Industrielles)<br />

<strong>and</strong> Patrice Jegouzo (University Paris Descartes) for technical support. Eric C.<br />

Greene gave advice on the -DNA <strong>and</strong> capillary preparations. The help of José T. Gonçalves<br />

<strong>and</strong> Marc Ros<strong>in</strong> at an early stage of this study is acknowledged. MR <strong>and</strong> MvH were recipients<br />

of a pre-doctoral research tra<strong>in</strong><strong>in</strong>g grant <strong>in</strong> the framework of a jo<strong>in</strong>t Marie-Curie Research<br />

Tra<strong>in</strong><strong>in</strong>g Network “From FLIM to FLIN” (MRTN-CT-2005-019481) to DTFD <strong>and</strong> MO.<br />

S<strong>in</strong>gle-molecule work <strong>in</strong> the Oheim lab is funded by the Groupement d’Intérêt Publique -<br />

Agence National de la Recherche (GIP-ANR), Program Nanoscience (PNANO-05-051) <strong>and</strong><br />

the European Union (FP6-STRP- AUTOSCREEN). Work <strong>in</strong> Ed<strong>in</strong>burgh was supported by the<br />

RASOR grant from the Biotechnology <strong>and</strong> Biological Sciences Research Council <strong>and</strong> was<br />

performed <strong>in</strong> the Collaborative Optical Spectroscopy, Microscopy <strong>and</strong> Imag<strong>in</strong>g Centre<br />

(COSMIC).<br />

51


52<br />

VA-TIRF for s<strong>in</strong>gle molecule imag<strong>in</strong>g


Chapter 3<br />

A programmable light eng<strong>in</strong>e for quantitative<br />

s<strong>in</strong>gle molecule TIRF <strong>and</strong> HILO imag<strong>in</strong>g<br />

Published <strong>in</strong> collaboration with V<strong>in</strong>cent de Sars <strong>and</strong> Mart<strong>in</strong> Oheim<br />

Optics Express 16 (2008): 18495<br />

53


A programmable light eng<strong>in</strong>e<br />

Abstract<br />

We report on a simple yet powerful implementation of objective type total <strong>in</strong>ternal reflection<br />

fluorescence (TIRF) <strong>and</strong> highly <strong>in</strong>cl<strong>in</strong>ed <strong>and</strong> lam<strong>in</strong>ated optical sheet (HILO, a type of darkfield)<br />

illum<strong>in</strong>ation. Instead of focus<strong>in</strong>g the illum<strong>in</strong>at<strong>in</strong>g laser beam to a s<strong>in</strong>gle spot close to the<br />

edge of the microscope objective, we are scann<strong>in</strong>g dur<strong>in</strong>g the acquisition of a fluorescence<br />

image the focused spot <strong>in</strong> a circular orbit, thereby illum<strong>in</strong>at<strong>in</strong>g the sample from various<br />

directions. We measure parameters relevant for quantitative image analysis dur<strong>in</strong>g<br />

fluorescence image acquisition by captur<strong>in</strong>g an image of the excitation light distribution <strong>in</strong> an<br />

equivalent objective backfocal plane (BFP). Operat<strong>in</strong>g at scan rates above 1 MHz, our<br />

programmable light eng<strong>in</strong>e allows directional averag<strong>in</strong>g by circular sp<strong>in</strong>n<strong>in</strong>g the spot even for<br />

sub-millisecond exposure times. We show that restor<strong>in</strong>g the symmetry of TIRF/HILO<br />

illum<strong>in</strong>ation reduces scatter<strong>in</strong>g <strong>and</strong> produces an evenly lit field-of-view that affords on-l<strong>in</strong>e<br />

analysis of <strong>evanescent</strong>-field excited fluorescence without pre-process<strong>in</strong>g. Utiliz<strong>in</strong>g crossed<br />

acousto-optical deflectors, our device generates arbitrary <strong>in</strong>tensity profiles <strong>in</strong> BFP, permitt<strong>in</strong>g<br />

variable angle, multi-color illum<strong>in</strong>ation, or objective lenses to be rapidly exchanged.<br />

Introduction<br />

Objective-type total <strong>in</strong>ternal reflection fluorescence (TIRF) (84) <strong>and</strong> highly <strong>in</strong>cl<strong>in</strong>ed<br />

lam<strong>in</strong>ated optical sheet (HILO) illum<strong>in</strong>ation (85) rely on tightly focus<strong>in</strong>g a laser spot <strong>in</strong> an<br />

eccentric position <strong>in</strong> the back focal plane (BFP) of a high numerical-aperture (NA) objective,<br />

Figure 16(a). Common problems occurr<strong>in</strong>g with this type of illum<strong>in</strong>ation are <strong>in</strong>terference<br />

fr<strong>in</strong>ges <strong>and</strong> uneven illum<strong>in</strong>ation (52,86-89). Scatter<strong>in</strong>g at refractive-<strong>in</strong>dex boundaries like<br />

cellular adhesion sites or <strong>in</strong>tracellular organelles create further <strong>in</strong>homogeneity. Biological<br />

tissue causes mostly forward scatter<strong>in</strong>g. The light conf<strong>in</strong>ement that is at the orig<strong>in</strong> of the<br />

<strong>contrast</strong> <strong>enhancement</strong> observed with these wide-field fluorescence techniques is<br />

compromised, as fluorescence is generated by a superposition of the spatially conf<strong>in</strong>ed <strong>and</strong><br />

diffuse component of scattered excitation light that varies across the field (89). Non-l<strong>in</strong>ear<br />

excitation can be a remedy, because the scattered <strong>in</strong>tensities are too weak to produce twophoton<br />

excited fluorescence (2PEF). However, a 2PEF TIRF setup <strong>in</strong>volves high cost <strong>and</strong><br />

complexity <strong>and</strong>, at least <strong>in</strong> its objective-type variant, imposes constra<strong>in</strong>ts on the excitation<br />

power. Inspired by the r<strong>in</strong>g illum<strong>in</strong>ation used <strong>in</strong> the orig<strong>in</strong>al work (84), a scann<strong>in</strong>g-type of<br />

TIRF illum<strong>in</strong>ator has recently been proposed (46,47) that restores radial symmetry by<br />

54


Chapter 3<br />

circularly sp<strong>in</strong>n<strong>in</strong>g the illum<strong>in</strong>ation spot <strong>in</strong> the BFP. Averag<strong>in</strong>g over different orientations of<br />

the electromagnetic <strong>wave</strong> vector, azimuthally sp<strong>in</strong>n<strong>in</strong>g spatially redistributes <strong>and</strong> dilutes<br />

scattered photons. Hence, the relative contribution of diffuse excitation is reduced. However,<br />

<strong>in</strong> these devices scan speed has been limited, reduc<strong>in</strong>g frame rates to a few Hz.<br />

We here report on a straightforward yet powerful implementation of fast scann<strong>in</strong>g TIRF/-<br />

HILO microscopy. Acousto-optical deflectors (AODs) <strong>in</strong> conjunction with a high-quality scan<br />

lens <strong>and</strong> high-NA objective permit us to po<strong>in</strong>t a focused spot with<strong>in</strong> μs to any po<strong>in</strong>t <strong>in</strong> the<br />

objective BFP. Unlike with rotat<strong>in</strong>g wedges (46) or k<strong>in</strong>ematic mirrors (47), we scan a full<br />

circle at 1.2 kHz, allow<strong>in</strong>g the acquisition of evenly lit <strong>and</strong> highly <strong>contrast</strong>ed fluorescence<br />

images with millisecond exposure time. Circular scans at different radii allow for<br />

accommodat<strong>in</strong>g high-NA objectives of different magnification, <strong>and</strong> permit multi-color<br />

alternat<strong>in</strong>g excitation (ALEX) (90) TIRF while ma<strong>in</strong>ta<strong>in</strong><strong>in</strong>g a constant penetration depth.<br />

Experimental procedures<br />

Eccentric-spot illum<strong>in</strong>ation<br />

Focus<strong>in</strong>g a laser beam <strong>in</strong> the objective aperture plane (or back focal plane, BFP) produces a<br />

th<strong>in</strong> collimated beam emerg<strong>in</strong>g from the objective. Its radial distance r from the optical axis<br />

determ<strong>in</strong>es the beam angle . With Abbe’s s<strong>in</strong>e condition, r=f·NA, <strong>and</strong> NA= n 2 s<strong>in</strong> NA , we<br />

have =arcs<strong>in</strong>[M·r/(n 2·f TL )]. Here, f = f TL /M, f TL <strong>and</strong> M are the objective <strong>and</strong> tube lens focal<br />

lengths, <strong>and</strong> the objective transverse magnification, respectively, Figure 16(b). TIR occurs<br />

above the critical angle c =arcs<strong>in</strong>(n 1 /n 2 ), i.e., for values of r≥r c = n 2·f obj <strong>and</strong> sets up an<br />

<strong>evanescent</strong> <strong>wave</strong> (EW) with a penetration depth w z (4) -1 [(n 2 2 s<strong>in</strong> 2 ) 2 -n 2 1 ] -1/2 , of the order<br />

of ~/5. n 1 <strong>and</strong> n 2 denote the <strong>wave</strong>length of light <strong>and</strong> the sample <strong>and</strong> substrate refractive<br />

<strong>in</strong>dices, respectively. For HILO, we set just beneath c to produce a highly <strong>in</strong>cl<strong>in</strong>ed sheet of<br />

light that transverses the sample at an oblique angle <strong>and</strong> illum<strong>in</strong>ates a th<strong>in</strong> optical section<br />

close to the coverslip (85). In either case, the objective back pupil<br />

∅pupil=2rmax=2n2s<strong>in</strong>NA ·fFL/M determ<strong>in</strong>es the maximal beam angle, NA.<br />

55


A programmable light eng<strong>in</strong>e<br />

Figure 16 Dielectric <strong>in</strong>terface (a) <strong>and</strong> beam parameters (b) for objective-type total <strong>in</strong>ternal reflection (c) Typical<br />

light distributions <strong>in</strong> the objective back focal plane (BFP) for eccentric-spot (left), crescent-(middle) <strong>and</strong> r<strong>in</strong>gshaped<br />

illum<strong>in</strong>ation (bottom). See text for details.<br />

Upon TIR, the average energy flux across the refractive-<strong>in</strong>dex boundary is zero. As the<br />

dom<strong>in</strong>ant component of the <strong>wave</strong> vector <strong>in</strong> HILO illum<strong>in</strong>ation, the Poynt<strong>in</strong>g vector P=E×H of<br />

the <strong>evanescent</strong> <strong>wave</strong> is oriented parallel to the boundary <strong>and</strong> takes, for TE polarization of the<br />

<strong>in</strong>cident beam, the form<br />

P<br />

<br />

<br />

<br />

<br />

<br />

<br />

Pz<br />

<br />

s<strong>in</strong><br />

P<br />

<br />

x<br />

cos<br />

<br />

ωt x<br />

P<br />

<br />

0<br />

s<strong>in</strong> α θ<br />

y<br />

n ω<br />

<br />

n ω<br />

<br />

ωt<br />

x s<strong>in</strong> α θ cosωt<br />

x s<strong>in</strong> α θ <br />

1<br />

c<br />

2<br />

n1ω<br />

c<br />

<br />

1<br />

c<br />

<br />

Eq. 39<br />

Here, denotes the phase, <strong>and</strong> is the solution to tan( /2) =(s<strong>in</strong> 2 -n 2 12 ) 1/2 /cos(91).<br />

Therefore, <strong>in</strong> both TIRF <strong>and</strong> HILO, the commonly used eccentric-spot illum<strong>in</strong>ation breaks the<br />

radial symmetry <strong>and</strong> def<strong>in</strong>es a propagation direction of the electromagnetic <strong>wave</strong> field along<br />

the positive x-axis.<br />

56


Chapter 3<br />

Set-up<br />

Figure 17 shows the optical layout. A 405-nm laser beam (40 mW, Lasos, Jena, Germany) is<br />

cleaned up with a HQ410/40 b<strong>and</strong>-pass, (EX1, AHF Analysentechnik, Tüb<strong>in</strong>gen, Germany)<br />

<strong>and</strong> directed on a pair of crossed acousto-optic devices (AOD1, AA.Opto-Electronique, St.<br />

Rémy-en-Chévreuse, France). Laser <strong>and</strong> AODs are mounted on a tilt <strong>and</strong> pan table for<br />

<strong>in</strong>ject<strong>in</strong>g the (1,1)-order diffracted beam <strong>in</strong>to the microscope. A personal computer (PC) <strong>and</strong><br />

peripheral <strong>in</strong>terface microcontroller (PIC) control the AODs <strong>and</strong> provide trigger signals to<br />

synchronize an AOD-based shutter (AOD2, Brimrose, Baltimore, Maryl<strong>and</strong>, U.S.A.) <strong>and</strong><br />

detectors. A Galilean telescope (f1=100 mm, f2=50 mm) augments the full scan angle to ±2.1°.<br />

A Rodenstock Rodagon (FL, , L<strong>in</strong>os, fFL= 135 mm) focuses the beam <strong>in</strong> the aperture plane of<br />

a NA-1.45 oil objective (see Table 2 for objectives used).<br />

Figure 17 Schematic representation of the optical set-up. Solid l<strong>in</strong>es – laser light; dotted – fluorescence; dashed<br />

– bright-field/epi-illum<strong>in</strong>ation. See text for details<br />

57


A programmable light eng<strong>in</strong>e<br />

Neutral density filters (ND) attenuate the beam to


Chapter 3<br />

thoroughly r<strong>in</strong>s<strong>in</strong>g, they were <strong>in</strong>cubated dur<strong>in</strong>g 1 m<strong>in</strong> with ~10 pM streptavid<strong>in</strong>-conjugated<br />

quantum dots (Qdots565-ITK, Invitrogen, CA, U.S.A.) <strong>in</strong> 50 mM borate buffer (pH 8.3).<br />

Unbound Qdots were flushed with buffer. We used Cargille (Cedar Grove, NJ, U.S.A.) FF<br />

low fluorescence immersion oil (n = 1.489 at 405 nm) for optically coupl<strong>in</strong>g the cover slip<br />

<strong>and</strong> objective. Cortical mouse astrocytes were prepared as described (96). We labeled<br />

astroglial lysosomes (96) with the styryl dyes FM1-43 (1 μM, 10 m<strong>in</strong>, followed by 20 m<strong>in</strong><br />

wash, Invitrogen, Carlsbad). Alternatively, we transfected cells with 1.2 μg/ml v<strong>in</strong>cul<strong>in</strong>-EGFP<br />

(97) (a k<strong>in</strong>d gift of Dr Johannes Hirrl<strong>in</strong>ger, Leipzig) us<strong>in</strong>g lipofectam<strong>in</strong>e 2000 (Invitrogen).<br />

Cells were perfused at 0.5 ml/m<strong>in</strong> with extracellular sal<strong>in</strong>e conta<strong>in</strong><strong>in</strong>g (<strong>in</strong> mM): 140 NaCl, 5.5<br />

KCl, 1.8 CaCl2, 1 MgCl2, 10 HEPES <strong>and</strong> 20 glucose, pH 7.3 (KOH).<br />

Results <strong>and</strong> discussion<br />

Read<strong>in</strong>g out relevant beam parameters from the BFP image<br />

We built a microscope optimized for high-NA illum<strong>in</strong>ation, as used <strong>in</strong> TIRF or HILO<br />

microscopy. In addition to the usual fluorescence image, we simultaneously acquired a BFP<br />

image that conta<strong>in</strong>s all parameters relevant for characteriz<strong>in</strong>g the beam <strong>and</strong> azimuthal angle,<br />

as well as their angular spread, thus permitt<strong>in</strong>g true quantitative fluorescence analysis.<br />

Focused <strong>in</strong> the center of the BFP, an on-axis beam (=0), produced a th<strong>in</strong> collimated beam that<br />

emerged vertically from the objective. To set the midpo<strong>in</strong>t (x0,y0) on the BFP image, we<br />

positioned CCD1 so that it showed a centered spot. We then <strong>in</strong>creased r = (x 2 + y 2 ) ½ until we<br />

observed TIR, mean<strong>in</strong>g that we reached the critical radius rc. The triplet r = 0, r = rc <strong>and</strong> rNA =<br />

rmax forms the basis of a three-po<strong>in</strong>t calibration for (r). Corroborat<strong>in</strong>g earlier observations<br />

(87,88), the EW-excited fluorescence <strong>in</strong> a dilute fluoresce<strong>in</strong> solution revealed an asymmetric<br />

<strong>in</strong>tensity profile, tail<strong>in</strong>g off toward the positive x-axis. Thus, even a low dye concentration is<br />

sufficient to produce observable forward scatter<strong>in</strong>g. We next used our AOD scanners to rotate<br />

the illum<strong>in</strong>ation spot at constant r. Azimuthal sp<strong>in</strong>n<strong>in</strong>g restored the symmetry, averaged over<br />

directional effects <strong>and</strong> generated an even illum<strong>in</strong>ation across the entire field-of-view, Figure<br />

18(a). Sp<strong>in</strong>n<strong>in</strong>g the spot also rotates the polarization vector of a l<strong>in</strong>early polarized <strong>in</strong>put beam<br />

<strong>in</strong> the sample plane, <strong>and</strong> <strong>in</strong>tegration dur<strong>in</strong>g fluorescence image acquisition averages over this<br />

effect. The precise measurement of the beam angle allowed us to generate a look-up table<br />

(r), for each objective lens used. Plott<strong>in</strong>g the fluorescence generated <strong>in</strong> fluoresce<strong>in</strong> solution<br />

vs. the angle of <strong>in</strong>cidence displayed the expected steep drop of fluorescence due to the sudden<br />

conf<strong>in</strong>ement of excitation at c = 60 ± 1°, Figure 18(b).<br />

59


A programmable light eng<strong>in</strong>e<br />

A<br />

B<br />

C<br />

Figure 18 BFP imag<strong>in</strong>g allows quantitative TIRF microscopy. (a) Left, schematic view of the objective BFP.<br />

(x0,y0) def<strong>in</strong>es the optical axis, r = |r| = [(x-x 0 ) 2 +(y-y 0 ) 2 ] 1/2 the off-axis displacement <strong>and</strong> hence beam angle TIR<br />

occurs for r > r c (dashed). r = re -i(t) corresponds to sp<strong>in</strong>n<strong>in</strong>g the spot at a constant radius r, = arccos(x/r).<br />

Middle, fluorescence generated <strong>in</strong> a dilute fluoresce<strong>in</strong> (FITC) solution, for eccentric s<strong>in</strong>gle-spot illum<strong>in</strong>ation<br />

Inset shows correspond<strong>in</strong>g BFP image. Red curve graphs the result<strong>in</strong>g asymmetric <strong>in</strong>tensity l<strong>in</strong>e profile along the<br />

dashed l<strong>in</strong>e across the field-of-view. Right, overlay of 16 images acquired at different values. Scale bars are 5<br />

μm. (b) Left, measurement of beam angles with ~ 1° precision. Objective 60× PlanApochromat TIRFM.<br />

Measured values of (circles) compared favorably with theory (solid l<strong>in</strong>e) <strong>and</strong> generated an 8-bit look-up table<br />

(r). Right, fluorescence generated <strong>in</strong> FITC, as a function of . Dashed part differs from the usual transmitted<br />

<strong>in</strong>tensity given by Fresnel coefficient for refraction because of the f<strong>in</strong>ite thickness of the FITC layer. (c) Left,<br />

sum projection of six BFP images acquired at different r, correspond<strong>in</strong>g =14.5, 28., 45, <strong>and</strong> 72°. Middle, plot<br />

of the average <strong>in</strong>tensity (red) <strong>and</strong> SD (dashed). The angle-dependent diffraction efficiency of the AODs causes a<br />

~20% <strong>in</strong>tensity modulation) along the circular ROI (red). Right, cross-sectional <strong>in</strong>tensity profile along the blue<br />

ROI. Fit of a Gaussian function with the 2 nd r<strong>in</strong>g yields r = 2.09 μm, a width r = 136 μm <strong>and</strong> angular dispersion<br />

of ≈±0.8°. is obta<strong>in</strong>ed from the multi-pixel fit with a precision of ~1 μm, correspond<strong>in</strong>g to ≈ 0.01°.<br />

60


Chapter 3<br />

Circular sp<strong>in</strong>n<strong>in</strong>g permits the on-l<strong>in</strong>e quantification of f<strong>in</strong>e morphological detail<br />

The benefit for biological fluorescence detection of circular sp<strong>in</strong>n<strong>in</strong>g the excitation beam is<br />

evident on fluorescence images of mouse cortical astrocytes sta<strong>in</strong>ed with styryl pyrid<strong>in</strong>ium<br />

dyes excited at angles just below the critical angle (HILO). Astrocytes are a type of macroglia<br />

<strong>and</strong> are the dom<strong>in</strong>ant glial cells of the bra<strong>in</strong>, where they play important roles <strong>in</strong> metabolism<br />

<strong>and</strong> signal<strong>in</strong>g as partners of neurons. In cultured cortical astrocytes styryl dyes specifically<br />

label lysosomal/late endosomal compartments (96). These membrane-delimited <strong>and</strong> optically<br />

dense organelles appear as diffraction-limited spots on EW-excited fluorescence images.<br />

Compared to conventional eccentric-spot illum<strong>in</strong>ation (card<strong>in</strong>al images for NWSE<br />

orienttation), fluorescence flare is absent from the central image acquired while cont<strong>in</strong>uously<br />

sp<strong>in</strong>n<strong>in</strong>g the laser beam <strong>in</strong> the BFP (<strong>in</strong>set). A large <strong>and</strong> evenly lit field-of-view is an<br />

additional benefit, Figure 19(a). Broaden<strong>in</strong>g the <strong>in</strong>cident laser beam, which is easily achieved<br />

by a slight defocus <strong>in</strong> BFP, can also improve the image quality upon illum<strong>in</strong>ation from one<br />

side, but the result<strong>in</strong>g image <strong>in</strong>evitably suffers from power losses <strong>and</strong> effects of forward<br />

scatter<strong>in</strong>g. Zoom<strong>in</strong>g <strong>in</strong> on sub-cellular fluorescence <strong>and</strong> slightly <strong>in</strong>creas<strong>in</strong>g the beam angle<br />

beyond the critical angle provided a crisp TIRF image of near-membrane granular <strong>and</strong> tubular<br />

(probably mitochondrial) fluorescence. Importantly, circular sp<strong>in</strong>n<strong>in</strong>g produced fluorescence<br />

images, from which we directly read off <strong>in</strong>tensity profiles without the usually required<br />

localbackground subtraction, filter<strong>in</strong>g or pre-process<strong>in</strong>g. Hence, restor<strong>in</strong>g symmetry facilitates<br />

<strong>and</strong> speeds up on-l<strong>in</strong>e analysis of TIRF images, Figure 19(b).<br />

61


A programmable light eng<strong>in</strong>e<br />

a<br />

b<br />

HILO<br />

x<br />

y<br />

Figure 19 (a) HILO (=59.5°) fluorescence images of a mouse cortical astrocyte labeled with FM1-43, <strong>and</strong><br />

simultaneously captured BFP images (<strong>in</strong>sets), for different propagation directions of the <strong>wave</strong> vector. Note the<br />

absence of flare <strong>and</strong> enlarged <strong>and</strong> homogenously lit field on fluorescence images excited with sp<strong>in</strong>n<strong>in</strong>g-spot<br />

illum<strong>in</strong>ation (centre image) compared to the four card<strong>in</strong>al images taken with conventional eccentric-spot<br />

illum<strong>in</strong>ation that display pronounced directionality (arrows). (b) F<strong>in</strong>e morphological detail is resolved on this<br />

enlarged view of a circular-sp<strong>in</strong> TIRF image (=63°). Individual lysosomes (bright spots) <strong>and</strong> mitochondria<br />

(dimmer tubules) are easily recognized <strong>and</strong> tracked without further image process<strong>in</strong>g. Bottom curves display<br />

<strong>in</strong>tensity profiles along the dashed l<strong>in</strong>es shown. Scale is 5 µm. Exposure times were 1 ms <strong>and</strong> 100 ms for the -<br />

BFP <strong>and</strong> fluorescence images, respectively. 60× PlanApochromat TIRFM objective.<br />

Chang<strong>in</strong>g magnification while ma<strong>in</strong>ta<strong>in</strong><strong>in</strong>g a constant penetration depth<br />

Conventional fluorescence microscopes accommodate objectives of different magnification<br />

by overfill<strong>in</strong>g the objective back aperture. However, TIRF or HILO, chang<strong>in</strong>g objectives is<br />

then virtually impossible, because the diameter of the objective back pupil (∅pupil) varies<br />

reciprocally with magnification M, <strong>and</strong> so should the illum<strong>in</strong>at<strong>in</strong>g r<strong>in</strong>g to ma<strong>in</strong>ta<strong>in</strong> a constant<br />

penetration depth or <strong>in</strong>cl<strong>in</strong>ed optical sheet. Re-adjust<strong>in</strong>g the beam angle manually can be a<br />

solution, but has usually prohibited experimenters from comb<strong>in</strong><strong>in</strong>g different high-NA<br />

objectives dur<strong>in</strong>g one experiment. On our setup, we are able to swap objectives <strong>and</strong> to adapt<br />

<strong>in</strong>stantly the illum<strong>in</strong>ation pattern under computer control, just by chang<strong>in</strong>g the (r) look-up<br />

62


Chapter 3<br />

table. This feature permits to zoom <strong>in</strong> on characteristic features of the sample under study<br />

without chang<strong>in</strong>g any TIRF parameters. We demonstrate this feature by imag<strong>in</strong>g focal<br />

adhesion contacts (FACs) — molecular structures by which cells make mechanical contact to<br />

the substrate on which they are grown.<br />

We validated our approach by imag<strong>in</strong>g cellular focal adhesion sites labeled with v<strong>in</strong>cul<strong>in</strong>-<br />

EGFP. V<strong>in</strong>cul<strong>in</strong> is a three-doma<strong>in</strong> adaptor prote<strong>in</strong> that mediates focal adhesion by regulat<strong>in</strong>g<br />

<strong>in</strong>tegr<strong>in</strong> dynamics <strong>and</strong> cluster<strong>in</strong>g as well as transduc<strong>in</strong>g force to the act<strong>in</strong> cytoskeleton (97)<br />

<strong>and</strong> is believed to <strong>in</strong>teract transiently with the lipid membrane. However, the nature <strong>and</strong> role<br />

of these <strong>in</strong>teractions <strong>in</strong> situ is poorly understood, because high-resolution imag<strong>in</strong>g of the<br />

strongly scatter<strong>in</strong>g prote<strong>in</strong>-rich FACs has presented a major challenge.<br />

Figure 20 Sp<strong>in</strong>n<strong>in</strong>g TIRFs image mouse cortical astrocyte transiently express<strong>in</strong>g v<strong>in</strong>cul<strong>in</strong>-EGFP. Fluorescence<br />

images of the same cell at different magnification. All objectives had NA1-45, see Table 2. Scale is 5 µm. Insets<br />

show correspond<strong>in</strong>g BFP images.<br />

Table 2 TIRF objectives used <strong>in</strong> this study (Olympus Europe, Hamburg, Germany) had NA-1.45 <strong>and</strong> 0.1-mm<br />

work<strong>in</strong>g distance. We calculated pupil diameters 2NA f TL /M. h is the position of the BFP above the objective<br />

shoulder <strong>and</strong> was constant for the three objectives used <strong>in</strong> Figure 20.<br />

∅ pupil (mm) h (mm)<br />

60× PlanApochromat TIRFM 8.7 25<br />

PLAPON60×O/TIRFM-SP 8.7 25<br />

PLAPO 100×O/TIRFM N 5.2 8.5<br />

UAPO 150×O/TIRFM SP 3.48 19.11<br />

To visualize adhesion sites, we transiently expressed <strong>in</strong> cortical astrocytes a v<strong>in</strong>cul<strong>in</strong>-EGFP<br />

construct. On TIRF images, v<strong>in</strong>cul<strong>in</strong>-EGFP appeared concentrated <strong>in</strong> bright spots, from which<br />

dimmer filaments emerged <strong>and</strong> radiated <strong>in</strong>to deeper cytoplasmic regions, Figure 20. Images at<br />

×60, ×100 <strong>and</strong> ×150-magnification showed the same cell at <strong>in</strong>creas<strong>in</strong>g detail, whereas the<br />

axial section illum<strong>in</strong>ated did not appreciably vary. Thus, our programmable light eng<strong>in</strong>e<br />

63


A programmable light eng<strong>in</strong>e<br />

allows to <strong>in</strong>stantly adapt<strong>in</strong>g the light path to objectives of different magnification. We expect<br />

this feature not only of use for zoom<strong>in</strong>g <strong>in</strong> <strong>and</strong> out, but also for variable-angle scans or<br />

multicolor EW-excitation, where changes <strong>in</strong> penetration depth wz result<strong>in</strong>g from <strong>wave</strong>length<br />

changes can be compensated for by adjust<strong>in</strong>g . Also, this flexibility removes the current<br />

requirement for bulky <strong>and</strong> expensive multiple-port TIRF attachments when multiple lasers are<br />

coupled to one microscope. This feature will also be of particular <strong>in</strong>terest for motorized<br />

microscopes,<br />

kHz circular sp<strong>in</strong>s allow image acquisition with exposure times down to a few ms<br />

S<strong>in</strong>gle-molecule detection (SMD) is an important application for TIRF. The sub-<strong>wave</strong>length<br />

axial optical section<strong>in</strong>g <strong>and</strong> near-field <strong>enhancement</strong> create the conditions for detect<strong>in</strong>g s<strong>in</strong>gle<br />

fluorophores <strong>in</strong> front of a reduced background signal. The same is true for the detection of<br />

s<strong>in</strong>gle-pair Förster resonance energy transfer (spFRET) or the time-lapse observation <strong>and</strong><br />

track<strong>in</strong>g of s<strong>in</strong>gle fluorescently labeled organelles <strong>in</strong> biological TIRF microscopy. By<br />

build<strong>in</strong>g up the ensemble average from <strong>in</strong>dividual events, these techniques reveals<br />

heterogeneity otherwise masked by the average behavior but, <strong>in</strong> turn, require large a number<br />

of <strong>in</strong>dividual observations to discern a statistically relevant pattern. For such a compilation to<br />

be valid, care must be taken to ma<strong>in</strong>ta<strong>in</strong> experimental conditions constant across observations.<br />

We prepared a monolayer of s<strong>in</strong>gle emitters by immobiliz<strong>in</strong>g streptavid<strong>in</strong>e-l<strong>in</strong>ked<br />

semiconductor nanocrystals (‘quantum dots’) on a biot<strong>in</strong>ylated microscope slide to verify if<br />

sp<strong>in</strong>n<strong>in</strong>g the excitation spot improved the conditions for TIRF-based SMD. Circular scan<br />

rates depended on number of orientations to average over for a circular full scan <strong>and</strong> varied<br />

between 0.3 for 256 <strong>and</strong> 1.2 kHz for 64 directions. Thus, with 6-bit azimuthal angle resolution<br />

we could stream images frames at up to 500 Hz with only the number of signal photons<br />

limit<strong>in</strong>g the <strong>in</strong>strument performance. Traces of 405-nm excited photolum<strong>in</strong>escence showed<br />

ON-OFF states associated with <strong>in</strong>dividual quantum dots, or the presence of two quantum dots<br />

<strong>in</strong> the diffraction-limited voxel, recognized as three <strong>in</strong>tensity states, Figure 21. As with earlier<br />

experiments, the spatially <strong>in</strong>variable background <strong>and</strong> signal-to-noise ratio allowed for the<br />

direct comparison of <strong>in</strong>dividual traces, thereby considerably speed<strong>in</strong>g up image analysis.<br />

64


Chapter 3<br />

Figure 21 Quantum dots (QD565-ITK) immobilized on a biot<strong>in</strong>ylated coverslip showed bl<strong>in</strong>k<strong>in</strong>g<br />

photolum<strong>in</strong>escent emission upon 405-nm excitation. Exposure time 2 ms, scale 5 µm.<br />

Discussion <strong>and</strong> conclusion<br />

S<strong>in</strong>ce its <strong>in</strong>troduction <strong>in</strong> 1989 (84), objective-type TIRF is broadly be<strong>in</strong>g used <strong>in</strong> microscopy,<br />

spectroscopy <strong>and</strong> SMD. Unlike the alternative prism-based geometry (see refs. (98-101), it is<br />

easy to set up on an <strong>in</strong>verted microscope, permits the free access to the sample from above,<br />

<strong>and</strong> is readily comb<strong>in</strong>ed with epifluorescence <strong>and</strong> bright-field illum<strong>in</strong>ation. The large-NA<br />

collection permits high lateral resolution (NA -1 , <strong>in</strong> the limit NA≤n 1 ) <strong>and</strong> fluorescence<br />

collection efficiency (½[1-cos NA ]). Dedicated ‘TIRF illum<strong>in</strong>ators’, high numerical aperture<br />

objectives (NA=1.44–1.65, ref.23) <strong>and</strong> compact, fiber-coupled diode lasers have<br />

contributed to its wide use. More recently, isosceles through-the-lens <strong>in</strong>jection of two<br />

collid<strong>in</strong>g high-NA beams has been used to generate the high-frequency illum<strong>in</strong>ation pattern<br />

for structured illum<strong>in</strong>ation <strong>in</strong> objective-base ‘super-resolution’ TIRF (32,102,103). The<br />

conta<strong>in</strong>ment of the beam <strong>in</strong>side the microscope body facilitates compliance with laser safety<br />

regulations, which is a concern for multi-user facilities <strong>and</strong> imag<strong>in</strong>g platforms.<br />

Early objective-type TIRF achieved symmetric illum<strong>in</strong>ation by focuss<strong>in</strong>g a mercury arc <strong>in</strong>to a<br />

r<strong>in</strong>g with r≥rc, <strong>and</strong> block<strong>in</strong>g the central sub-critical rays (84). Olympus (Sh<strong>in</strong>juku-ku, Japan)<br />

developed but never commercialized a variant <strong>in</strong> which a highly aberrant lens images the arc<br />

to a crescent-shaped sector of the high-NA r<strong>in</strong>g (Figure 16(c), middle). However, a<br />

consequence of us<strong>in</strong>g an <strong>in</strong>coherent white-light source are <strong>in</strong>tensity losses, because imag<strong>in</strong>g<br />

the mercury arc of dimension <strong>in</strong>to a r<strong>in</strong>g with width r 2 -r 1 (r 2 >r 1 ≥r c ) decreases its lum<strong>in</strong>ous<br />

density by 2 /[·(r 2 2 -r 2 1 )]


A programmable light eng<strong>in</strong>e<br />

close to n2 are used. Hence, more recently, experimenters have preferred an eccentric focused<br />

laser spot rather than a full r<strong>in</strong>g for provid<strong>in</strong>g supercritical illum<strong>in</strong>ation.<br />

Our AOD-based programmable light eng<strong>in</strong>e restores the illum<strong>in</strong>ation symmetry through beam<br />

scann<strong>in</strong>g <strong>and</strong> thereby comb<strong>in</strong>es the advantages of the orig<strong>in</strong>al r<strong>in</strong>g illum<strong>in</strong>ation <strong>and</strong> the laserbased<br />

eccentric-spot scheme. Unlike other devices, our programmable light eng<strong>in</strong>e offers a<br />

rapid, r<strong>and</strong>om-access computer-controlled beam steer<strong>in</strong>g <strong>in</strong> the objective back focal plane at<br />

moderate cost (


Chapter 4<br />

Chapter 4<br />

Gett<strong>in</strong>g Across the Plasma Membrane <strong>and</strong> Beyond:<br />

Intracellular Uses of Colloidal Semiconductor Nanocrystals<br />

Published <strong>in</strong> collaboration with Camilla Luccard<strong>in</strong>i, Aleksey Yakovlev, Stéphane Gaillard,<br />

Alicia Piera Alberola, Jean-Maurice Mallet, Wolfgang J. Parak, Anne Feltz <strong>and</strong> Mart<strong>in</strong> Oheim<br />

Journal of Biomedic<strong>in</strong>e <strong>and</strong> Biotechnology 2007(7):68963<br />

67


Intracellular uses of colloidal semiconductor nanocrystals<br />

Abstract<br />

Semiconductor nanocrystals (NCs) are <strong>in</strong>creas<strong>in</strong>gly be<strong>in</strong>g used as photolum<strong>in</strong>escent markers<br />

<strong>in</strong> biological imag<strong>in</strong>g. Their brightness, large Stokes shift, <strong>and</strong> high photostability compared<br />

to organic fluorophores permit the exploration of biological phenomena at the s<strong>in</strong>gle-molecule<br />

scale with superior temporal resolution <strong>and</strong> spatial precision. NCs have predom<strong>in</strong>antly been<br />

used as extracellular markers for tagg<strong>in</strong>g <strong>and</strong> track<strong>in</strong>g membrane prote<strong>in</strong>s. Successful<br />

<strong>in</strong>ternalization <strong>and</strong> <strong>in</strong>tracellular labell<strong>in</strong>g with NCs have been demonstrated for both fixed<br />

immunolabelled <strong>and</strong> live cells. However, the precise localization <strong>and</strong> subcellular compartment<br />

labelled are less clear. Generally, live cell studies are limited by the requirement of fairly<br />

<strong>in</strong>vasive protocols for load<strong>in</strong>g NCs <strong>and</strong> the relatively large size of NCs compared to the<br />

cellular mach<strong>in</strong>ery, along with the subsequent sequestration of NCs <strong>in</strong> endosomal/lysosomal<br />

compartments. For long-period observation the potential cytotoxicity of cytoplasmically<br />

loaded NCs must be evaluated. This review focuses on the challenges of <strong>in</strong>tracellular uses of<br />

NCs.<br />

Introduction<br />

Semiconductor nanocrystals (NCs) “quantum dots” are <strong>in</strong>creas<strong>in</strong>gly be<strong>in</strong>g used <strong>in</strong> a wide<br />

range of biomedical applications, from cell biology to medical diagnostics. They have a core<br />

diameter of 2–10 nm <strong>and</strong> significantly larger hydrodynamic diameter, mak<strong>in</strong>g them suitable<br />

as large yet relatively biocompatible markers, <strong>and</strong> have remarkable photophysical properties<br />

related to quantum conf<strong>in</strong>ement effects (104). Their superior brightness, higher photostability,<br />

<strong>and</strong> narrower spectral emission compared to conventional organic fluorophores have<br />

progressively lead biophysicists to adopt them as a new tool for s<strong>in</strong>gle-molecule imag<strong>in</strong>g, <strong>in</strong><br />

vitro <strong>and</strong> <strong>in</strong> vivo. NCs have become an alternative for organic fluorophores <strong>and</strong><br />

complementary tool of fluorescent prote<strong>in</strong>s <strong>in</strong> s<strong>in</strong>gle-molecule fluorescence <strong>and</strong> whole-cell<br />

labell<strong>in</strong>g assays.<br />

In this review, we focus on the <strong>in</strong>tracellular applications of semiconductor nanocrystals <strong>in</strong><br />

biological imag<strong>in</strong>g. We first discuss their unique optical properties, we then <strong>in</strong>troduce some<br />

considerations on their surface chemistry <strong>and</strong> we explore <strong>in</strong> the follow<strong>in</strong>g sections the<br />

different possible strategies to deliver NC <strong>in</strong>side the cell <strong>and</strong> to specifically target them to a<br />

prote<strong>in</strong> of <strong>in</strong>terest. F<strong>in</strong>ally, we report on recent applications of NCs <strong>in</strong> whole animal imag<strong>in</strong>g<br />

<strong>in</strong> vivo <strong>and</strong> address the risk of potential cytotoxicity.<br />

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Chapter 4<br />

Chemical <strong>and</strong> optical properties<br />

NCs are <strong>in</strong>organic particles of 200 to 1000 atoms. NC cores are commonly synthesized from<br />

group II-VI (e.g., CdSe, CdS, ZnSe, <strong>and</strong> CdTe) <strong>and</strong> III-V (e.g., InAs, InP, <strong>and</strong> PbS)<br />

semiconductor materials. For any energy exceed<strong>in</strong>g the b<strong>and</strong> gap, which depends on the core<br />

diameter, absorption of a photon generates an electron-hole pair, which on recomb<strong>in</strong>ation<br />

results <strong>in</strong> the emission of a less-energetic photon. Due to their broad absorption spectra, NCs<br />

can efficiently be excited with a multitude of laser l<strong>in</strong>es. Variations <strong>in</strong> the particle<br />

composition <strong>and</strong> size result <strong>in</strong> different b<strong>and</strong>-gap energies <strong>and</strong> hence NCs different<br />

photolum<strong>in</strong>escent (PL) emission, rang<strong>in</strong>g from the near UV to the IR (400–1350 nm) (105).<br />

NCs have narrow <strong>and</strong> symmetric photolum<strong>in</strong>escence (PL) emission peaks with typical full<br />

widths at half maximum (FWHM) of 25–35nm (106) that facilitate multicolor imag<strong>in</strong>g by<br />

allow<strong>in</strong>g efficient s<strong>in</strong>gle-color excitation whilst m<strong>in</strong>imiz<strong>in</strong>g emission cross-talk (107), see<br />

(108) for a critical discussion. The PL emission arises both from radiative recomb<strong>in</strong>ation of an<br />

exciton <strong>and</strong> the recomb<strong>in</strong>ation of an electron with a hole <strong>in</strong> the valence b<strong>and</strong>. For NCs,<br />

relaxation to the ground state takes ~10-100 nanoseconds, about one order of magnitude<br />

longer than s<strong>in</strong>glet-s<strong>in</strong>glet electronic transitions <strong>in</strong> organic fluorophores (~0.1-10 ns). The<br />

slow PL decay makes NCs attractive sources for time-gated imag<strong>in</strong>g, which can be used to<br />

reduce the relative contribution of cellular autofluorescence to the total collected signal (109).<br />

Figure 22 graphs the evolution of the collected fraction of long-lived NC emission, relative to<br />

that of the short-lived autofluorescence for different time gates t at a fixed lifetime ratio of<br />

1:10. Larger gates are required to atta<strong>in</strong> the same suppression of background for <strong>in</strong>creas<strong>in</strong>g<br />

levels of autofluorescence. For <strong>in</strong>tensity-based detection NCs benefit from their large<br />

brightness () which results from a 10-to-100 time larger molar ext<strong>in</strong>ction coefficients (<br />

~10 5 –10 6 M -1 cm 1 ) than organic dyes (110,111) at comparable quantum yield . F<strong>in</strong>ally, due to<br />

their significantly higher photostability than organic fluorophores, NCs are attractive for longperiod<br />

observation (LPO). The resistance to photobleach<strong>in</strong>g results from the deposition of an<br />

additional semiconductor shell (e.g., ZnS or CdSe) hav<strong>in</strong>g a larger b<strong>and</strong> gap than the core.<br />

The result is the conf<strong>in</strong>ement of the excitons to the core. However, NCs are not completely<br />

<strong>in</strong>ert to prolonged illum<strong>in</strong>ation. The photophysical properties facilitate LPO at the s<strong>in</strong>gle-NC<br />

level, a particularly <strong>in</strong>terest<strong>in</strong>g property <strong>in</strong> s<strong>in</strong>gle-particle track<strong>in</strong>g (SPT) applications (112),<br />

trac<strong>in</strong>g cell l<strong>in</strong>eage (113), <strong>and</strong> live animal imag<strong>in</strong>g (114), that all comb<strong>in</strong>e the dem<strong>and</strong> for<br />

imag<strong>in</strong>g small numbers of fluorophores over extended observation periods.<br />

69


Intracellular uses of colloidal semiconductor nanocrystals<br />

Beyond their established function as molecular markers, NCs are <strong>in</strong>creas<strong>in</strong>gly be<strong>in</strong>g used for<br />

FRET-based biosens<strong>in</strong>g (see (115) for review). NCs are both a scaffold <strong>and</strong> central donor for<br />

excit<strong>in</strong>g multiple organic acceptor fluorophores <strong>in</strong> these <strong>in</strong>organic/organic hybrid FRET<br />

sensors (116-119). Also, NCs are attractive FRET donors because, through select<strong>in</strong>g the<br />

appropriate size, they can be dialed <strong>in</strong>to almost arbitrary acceptors. The large overlap <strong>in</strong>tegrals<br />

between donor emission <strong>and</strong> acceptor absorbance allow for larger FRET efficiencies or<br />

transfer over larger donor/acceptor distances. Due to the broad absorption b<strong>and</strong>s <strong>and</strong> narrowb<strong>and</strong><br />

emission, one can chose excitation <strong>wave</strong>lengths m<strong>in</strong>imiz<strong>in</strong>g direct acceptor excitation<br />

<strong>and</strong> m<strong>in</strong>imal bleed-through of donor fluorescence <strong>in</strong>to the FRET detection channel.<br />

At the s<strong>in</strong>gle-NC level, the radiative recomb<strong>in</strong>ation of the exciton can temporarily be<br />

prevented despite ongo<strong>in</strong>g excitation, result<strong>in</strong>g <strong>in</strong> <strong>in</strong>termittent PL emission, known as<br />

“bl<strong>in</strong>k<strong>in</strong>g” (120). Bl<strong>in</strong>k<strong>in</strong>g results from the stabilization of the exciton at the NC surface <strong>and</strong><br />

is associated with surface defects. Dark states reduce the duty cycle, complicate the<br />

<strong>in</strong>terpretation of <strong>in</strong>tensity-based measurements, <strong>and</strong> prompt the elaboration of specific<br />

algorithms for quantitative SPT (121). However, bl<strong>in</strong>k<strong>in</strong>g can be turned to an advantage <strong>in</strong> as<br />

much as it allows the identification of s<strong>in</strong>gle NCs <strong>and</strong> the detection of s<strong>in</strong>gle-pair FRET<br />

(spFRET, Figure 23(a)), as shown on panel (b) between a QD565STV NC donor <strong>and</strong> an<br />

AlexaBiot<strong>in</strong> organic fluorophore acceptor (Yakovlev, Luccard<strong>in</strong>i, <strong>and</strong> others’ personal<br />

observations). Bl<strong>in</strong>k<strong>in</strong>g of neighbor<strong>in</strong>g NCs can also be used for ultrahigh resolution studies<br />

beyond the classical resolution limit (122) <strong>and</strong> allows the emission of s<strong>in</strong>gle particle to be<br />

isolated from the crowd. NC detection is not restricted on detect<strong>in</strong>g PL. Their electron density<br />

<strong>and</strong> crystal structure provide sufficient <strong>contrast</strong> <strong>in</strong> transmission electron microscopy (EM)<br />

(112,123). Their use <strong>in</strong> EM is an additional advantage over label<strong>in</strong>g samples with<br />

conventional dyes that need to be photoconverted or require the addition of electron-dense<br />

material to generate <strong>contrast</strong> on EM images. However, the <strong>contrast</strong> obta<strong>in</strong>ed with NCs is<br />

lower than when us<strong>in</strong>g Au nanoparticles for immunolabel<strong>in</strong>g.<br />

Nanocrystal surface chemistry<br />

Successful cell biological applications of semiconductor NCs had to await the development of<br />

reliable protocols for synthesiz<strong>in</strong>g water-soluble <strong>and</strong> colloidally stable nanoparticles. To be of<br />

use <strong>in</strong> cellular imag<strong>in</strong>g, NCs need to be first rendered water-soluble <strong>and</strong> non-aggregat<strong>in</strong>g <strong>and</strong><br />

then functionalized to be specifically targeted to a molecule of <strong>in</strong>terest. They should also be<br />

stable <strong>and</strong> ideally have a long shelf life as well as to allow for experiment series under<br />

70


Chapter 4<br />

reproducible conditions. The time needed to develop potent solubilization <strong>and</strong><br />

functionalization strategies justifies the time elapsed after the first proposition of NCs as<br />

biological probes (106,124) <strong>and</strong> their wider use by the biological community which is only<br />

beg<strong>in</strong>n<strong>in</strong>g. NCs are synthesised <strong>in</strong> organic solvents <strong>and</strong> are subsequently coated with a<br />

hydrophobic shell of surfactant trioctyl phosp<strong>in</strong>e oxide (TOPO) to ma<strong>in</strong>ta<strong>in</strong> the particles<br />

monodispersed <strong>in</strong> organic solvents. Their water solubility is obta<strong>in</strong>ed by capp<strong>in</strong>g the NC<br />

surface with an additional hydrophilic coat<strong>in</strong>g layer. Among the many solubilization<br />

strategies that have been designed the most efficient, <strong>in</strong> terms of colloidal stability <strong>and</strong><br />

biocompatibility, is at present the amphiphilic polymer coat<strong>in</strong>g (125-127). Particle<br />

aggregation can further be reduced through the addition of a polyethylene glycol (PEG) layer,<br />

which also m<strong>in</strong>imizes nonspecific <strong>in</strong>teractions (123,127,128). Taken together, the<br />

improvements <strong>in</strong> underst<strong>and</strong><strong>in</strong>g NC surface chemistry <strong>and</strong> hence controll<strong>in</strong>g their colloidal<br />

properties have prompted an ever <strong>in</strong>creas<strong>in</strong>g number of studies us<strong>in</strong>g colloidal semiconductor<br />

NCs as PL markers <strong>in</strong> cell biological applications (see, e.g., (129,130) for review).<br />

The easier accessibility of extracellular epitopes of cellular membrane antigens readily<br />

motivates the <strong>in</strong>creas<strong>in</strong>g number of studies us<strong>in</strong>g NCs <strong>in</strong>stead of organic-fluorophore<br />

conjugated antibodies as extracellular markers <strong>in</strong> immunofluorescence (112,131,132).<br />

(a)<br />

(b)<br />

Figure 22 Time-gated acquisition of nanocrystal photolum<strong>in</strong>escence suppresses short-lived autofluorescence,<br />

(109). (a) Schematic representation of the relative tim<strong>in</strong>g of the laser pulse (<strong>in</strong>stantaneous, blue), along with the<br />

normalized decays of autofluorescence (AF, purple, t = 1 nanosecond), NC photolum<strong>in</strong>escence (NC, green, t =<br />

10 nanoseconds), <strong>and</strong> their sum (red), respectively. (b) Background rejection versus gate time. SNR is the ratio<br />

of the <strong>in</strong>tegrated signal of the NC divided by the <strong>in</strong>tegrated signal of the AF. The numbers/colors represent 5<br />

different ratios INC/IAF. To obta<strong>in</strong> the same SNR at a higher level of AF, a larger time gate is required. The<br />

shift <strong>in</strong> time is relative to the center of a sigmoidal function 1/(1 + exp (-T/t)) that describes detector gat<strong>in</strong>g. We<br />

assumed a detector on response (10–90%), T = 4.4 nanoseconds. Thus, at t = 0 detection efficiency is 50%.<br />

71


Intracellular uses of colloidal semiconductor nanocrystals<br />

Different l<strong>in</strong>kers have been used for functionaliz<strong>in</strong>g NCs, <strong>in</strong>clud<strong>in</strong>g streptavid<strong>in</strong> (133-135),<br />

receptor lig<strong>and</strong>s (136,137), peptides (138), as well as secondary (139) or primary antibodies<br />

(140). The popularity of NCs for study<strong>in</strong>g molecular migration comes, at least <strong>in</strong> part, from<br />

the fact that NCs often offer a viable compromise between the desired stability <strong>and</strong> the<br />

tolerable degree of <strong>in</strong>vasiveness. On the one h<strong>and</strong>, they are clearly more stable than small<br />

organic fluorophores that <strong>in</strong> turn exert less <strong>in</strong>fluence on the bound lig<strong>and</strong>. On the other h<strong>and</strong>,<br />

over tags offer<strong>in</strong>g a comparable long-term stability, such as the much bigger (<strong>and</strong> hence<br />

<strong>in</strong>vasive) fluorescent nanobeads or light-scatter<strong>in</strong>g gold particles (141), through their smaller<br />

size, so that NCs are less prone to reduce lig<strong>and</strong> mobility <strong>and</strong> access to the b<strong>in</strong>d<strong>in</strong>g site.<br />

Despite their obvious advantage for extracellular labell<strong>in</strong>g, four ma<strong>in</strong> difficulties are<br />

encountered when us<strong>in</strong>g NCs for <strong>in</strong>tracellular labell<strong>in</strong>g of cytoplasmic constituents <strong>in</strong> live<br />

cells. First, to deliver NCs <strong>in</strong>to the cell, the plasma membrane has to be made transiently<br />

permeable for these nanoscale (but <strong>in</strong> a cellular context yet relatively large) objects, while<br />

ma<strong>in</strong>ta<strong>in</strong><strong>in</strong>g the cell <strong>in</strong>tact <strong>and</strong> viable (142). Second, as NCs are also unspecifically taken up,<br />

probably by a process similar to p<strong>in</strong>ocytosis, any specific uptake has to dom<strong>in</strong>ate over these<br />

Figure 23 Use of bl<strong>in</strong>k<strong>in</strong>g to detect s<strong>in</strong>gle-particle Förster resonance energy transfer (spFRET). (a) Schematic<br />

representation of the donor/acceptor geometry consist<strong>in</strong>g of a central QD565-ITK/STV donor (green) <strong>and</strong><br />

biot<strong>in</strong>ylated Alexa594 acceptor (red). NCs were immobilized on glass slides us<strong>in</strong>g a biot<strong>in</strong>-antibody l<strong>in</strong>ker. (b)<br />

Time-resolved traces of PL <strong>in</strong>tensity simultaneously observed <strong>in</strong> the donor (D565/20 nm) <strong>and</strong> FRET channel<br />

(D655/40 nm) upon donor 440-nm excitation. The green-emitt<strong>in</strong>g NC donor transfers its energy to multiple<br />

orange-red fluoresc<strong>in</strong>g acceptors. Donor bleed through <strong>and</strong> acceptor direct excitation are negligible, <strong>and</strong><br />

contribute less than 0.5% each to the total signal, respectively. Note the concomitant bl<strong>in</strong>k<strong>in</strong>g <strong>in</strong> both channels,<br />

<strong>in</strong>dicat<strong>in</strong>g no energy transfer when the quantum dot donor is <strong>in</strong> an OFF state, a hallmark of spFRET (143). cps =<br />

counts per second.<br />

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Chapter 4<br />

non-specific uptake mechanisms to ensure a specific label<strong>in</strong>g. P<strong>in</strong>ocytosis occurs <strong>in</strong> all types<br />

of cells, lead<strong>in</strong>g to p<strong>in</strong>osomes which can be bigger than 1 µm (macro-p<strong>in</strong>ocytosis). Because<br />

their size, macrop<strong>in</strong>osomes provide an efficient route for nonselective endocytosis of solute<br />

macromolecules, <strong>and</strong> hence NCs <strong>in</strong> solution. Third, once the NCs have penetrated the cell,<br />

they must stay mono-dispersed <strong>and</strong> reach their molecular target through diffusion or transport.<br />

However, nanometric hard particles are frequently recognized as exogenous objects <strong>and</strong> are<br />

engulfed <strong>in</strong> endosomal <strong>and</strong>/or lysosomal compartments. F<strong>in</strong>ally, even <strong>in</strong> the case of a<br />

successful cytoplasmic load<strong>in</strong>g, the ma<strong>in</strong> obstacle rema<strong>in</strong>s the difficulty <strong>in</strong> address<strong>in</strong>g NCs to<br />

their specific target sites <strong>and</strong> <strong>in</strong> remov<strong>in</strong>g the unbound NC fraction from the cytoplasm.<br />

Cross<strong>in</strong>g the plasma membrane<br />

Whole-cell labell<strong>in</strong>g has been demonstrated with biocompatible, but non-functionalized (bare)<br />

NCs. The addition of NCs to the extracellular medium leads to their spontaneous uptake<br />

(129,144). Not only specialized macrophages <strong>and</strong> fibroblasts but also many cells <strong>in</strong>ternalize<br />

both extracellular particles <strong>and</strong> fluid via phagocytosis <strong>and</strong> p<strong>in</strong>ocytosis, respectively. Virtually<br />

all cells are able to take up NCs via endocytic mechanisms. This uptake leads to endosomes<br />

that are much bigger than the NCs itself (macropynosomes >1 µm, clathr<strong>in</strong> coated pits ~120<br />

nm, caveolae ~60 nm, <strong>and</strong> clathr<strong>in</strong>- <strong>and</strong> caveol<strong>in</strong>-<strong>in</strong>dependent endocytosis ~90nm (145)).<br />

However, these tracks often lead to aggregations of NCs crowded <strong>in</strong> <strong>in</strong>tracellular<br />

compartments (recognized by the absence of bl<strong>in</strong>k<strong>in</strong>g). Thus, additional <strong>and</strong> more specific<br />

load<strong>in</strong>g techniques are required for specific NC load<strong>in</strong>g.<br />

Micro<strong>in</strong>jection is a simple tool for load<strong>in</strong>g mono-dispersed NCs <strong>in</strong>to the cytoplasm (113,137).<br />

Dubertret <strong>and</strong> coworkers <strong>in</strong>jected NCs <strong>in</strong>to Xenopus laevis oocytes <strong>and</strong> traced the cell l<strong>in</strong>eage<br />

throughout embryonic development. S<strong>in</strong>gle-cell electroporation (146) potentially is another<br />

technique for load<strong>in</strong>g charged NCs <strong>in</strong>to <strong>in</strong>dividual cells, but its efficiency critically depends<br />

on the size <strong>and</strong> charge of NCs (Luccard<strong>in</strong>i <strong>and</strong> Yakovlev unpublished observations).<br />

However, similar to patch clamp<strong>in</strong>g or micro<strong>in</strong>jection, it is a time-consum<strong>in</strong>g technique; <strong>and</strong><br />

more efficient techniques are desirable when the load<strong>in</strong>g of larger cell populations is required.<br />

Bulk electroporation of cell suspensions allows the parallel delivery of NCs <strong>in</strong>to thous<strong>and</strong>s of<br />

cells, but has been reported to go along with NC aggregation (137,147). This technique<br />

probably traps NCs on the plasma membrane where they are endocytoted dur<strong>in</strong>g the time that<br />

is required for the cells to settle on the cover glass before imag<strong>in</strong>g (Luccard<strong>in</strong>i <strong>and</strong> Yakovlev,<br />

personal observations). Thus, the osmotic lysis of p<strong>in</strong>osomes (Figure 24, upper panel)<br />

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Intracellular uses of colloidal semiconductor nanocrystals<br />

provides a simple <strong>and</strong> convenient method to efficiently load mono-dispersed NCs <strong>in</strong>to many<br />

cells simultaneously, under identical conditions. Dur<strong>in</strong>g load<strong>in</strong>g, the cell morphology did not<br />

change <strong>and</strong> plasma membrane <strong>in</strong>tegrity <strong>and</strong> cell viability were not affected through the<br />

osmotic shock <strong>and</strong> <strong>in</strong>clusion of NCs (Figure 24, lower panel). This technique enabled, for<br />

example, the load<strong>in</strong>g of NCs to track s<strong>in</strong>gle k<strong>in</strong>es<strong>in</strong> motors <strong>in</strong> live cells (148). Chemical<br />

methods to deliver NCs to the cytoplasm <strong>in</strong>clude the use of cationic polymers (137,147,149)<br />

<strong>and</strong> cationic lipids (113,150). After liposome formation, NCs penetrate the plasma membrane,<br />

but accumulation <strong>in</strong> endosomal compartments is frequently observed (137,140,151). Also,<br />

liposome-loaded NCs have been found <strong>in</strong> late endosomes/ lysosomes (152), <strong>and</strong> <strong>in</strong> keep<strong>in</strong>g<br />

with this observation, tend to concentrate <strong>in</strong> regions close to the nucleus (113). Overcom<strong>in</strong>g<br />

NC sequestration, encapsulation of NCs <strong>in</strong> a PEG-grafted polyethylenim<strong>in</strong>e coat has been<br />

reported to permit their escape from endosomal compartments (153,154). Another possibility<br />

for NCs delivery <strong>in</strong>to the cytosol is their conjugation to specific peptide sequences (155,156),<br />

similar to what has been used for the delivery of magnetic nanoparticles (157). Although this<br />

is a particularly <strong>in</strong>terest<strong>in</strong>g <strong>and</strong> active area of research, <strong>and</strong> NC translocation to the cytoplasm<br />

(158) <strong>and</strong> specific label<strong>in</strong>g of <strong>in</strong>tracellular organelles such as mitochondria (137,159) or the<br />

nucleus (137,147) have been published, the true impact of these studies can only be evaluated<br />

with a careful study of the three-dimensional (3-D) <strong>in</strong>tracellular localization of the NCs, for<br />

example, comb<strong>in</strong><strong>in</strong>g specific immunosta<strong>in</strong><strong>in</strong>g <strong>and</strong> quantitative 3D imag<strong>in</strong>g (136,160), <strong>and</strong><br />

careful colocalization analysis (108). F<strong>in</strong>ally, the conjugation of NCs to membrane-permeable<br />

tox<strong>in</strong>s like botul<strong>in</strong>um tox<strong>in</strong> should represent an attractive strategy to deliver NC <strong>in</strong>to the<br />

cytoplasm, although further work needs to confirm these <strong>in</strong>itial observations.<br />

In summary, while many different strategies of NC load<strong>in</strong>g have been explored <strong>and</strong> some of<br />

them to produce a mono-dispersed cytoplasmic labell<strong>in</strong>g at least <strong>in</strong> the cell types studied, the<br />

absence of rigorous criteria for successful cytoplasmic load<strong>in</strong>g <strong>and</strong> the lack of appropriate<br />

controls along with the often uncritical <strong>and</strong> overoptimistic <strong>in</strong>terpretation of <strong>in</strong>tracellular<br />

fluorescent puncta make it hard to be directly extrapolated from the published literature on the<br />

own experiment. In pr<strong>in</strong>ciple, if NCs are localized <strong>in</strong> the cytoplasm rather than sequestered <strong>in</strong><br />

some <strong>in</strong>tracellular compartment, they should be evenly distributed <strong>in</strong> <strong>and</strong> r<strong>and</strong>omly diffused<br />

throughout the accessible volume; <strong>in</strong> <strong>contrast</strong>, many images rather show localized<br />

distributions <strong>and</strong> heterogeneous clusters of different sizes <strong>and</strong> brightnesses. A def<strong>in</strong>ite proof<br />

needs SPT <strong>and</strong> the analysis of s<strong>in</strong>gle molecule fluorescence. Bl<strong>in</strong>k<strong>in</strong>g <strong>and</strong> consistent diffusion<br />

coefficients will clarify if particles are mono-dispersed <strong>and</strong> trapped or they can diffuse freely.<br />

As yet, it seems safe to say that the uptake <strong>and</strong> <strong>in</strong>ternalization of nanoscale particles <strong>in</strong>to cells<br />

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Chapter 4<br />

has not been completely understood <strong>and</strong> probably varies both from cell type to cell type. Also,<br />

it depends on the surface chemistry of the nanoparticles. Additionally, purification steps could<br />

play a crucial role; for example, <strong>in</strong> determ<strong>in</strong><strong>in</strong>g the concentration of excess lig<strong>and</strong>s <strong>in</strong><br />

solution.<br />

Reach<strong>in</strong>g specific <strong>in</strong>tracellular targets<br />

Site-specific labell<strong>in</strong>g of <strong>in</strong>tracellular prote<strong>in</strong>s is far more difficult than extracellular target<br />

recognition, s<strong>in</strong>ce the cytoplasm constitutes a crowded molecular environment, conta<strong>in</strong><strong>in</strong>g a<br />

plethora of prote<strong>in</strong>s, nucleic acids, <strong>and</strong> other molecules. So as to achieve specificity <strong>in</strong><br />

<strong>in</strong>tracellular target<strong>in</strong>g, tagg<strong>in</strong>g strategies rely on specific target recognition (reviewed <strong>in</strong><br />

(115,161)). Another requirement for LPO imag<strong>in</strong>g is that the chemical bond l<strong>in</strong>k<strong>in</strong>g the<br />

cytoplasmic target <strong>and</strong> the label chosen for its detection is stable over the experiment time.<br />

Figure 24 Evaluation of cytoplasmic nanoparticle load<strong>in</strong>g <strong>in</strong> live cells by osmotic lysis of p<strong>in</strong>osomes. COS-7<br />

cells were <strong>in</strong>cubated <strong>in</strong> hypertonic solution (10m<strong>in</strong>utes, 37 °C, Invitrogen I-14402) for p<strong>in</strong>ocytic load<strong>in</strong>g of<br />

QD565ITK nanocrystals (NCs, Quantum dot corporation). Shift<strong>in</strong>g to hypotonic culture medium caused the<br />

osmotic lysis of the <strong>in</strong>ternalized p<strong>in</strong>osomes <strong>and</strong> release of NCs <strong>in</strong>to the cytoplasm. (a) Bright-field image at ×100<br />

magnification. Scale bar for (a) to (c): 4 µm. (b)–(c) Epifluorescence images from a time-resolved image stack of<br />

the same cell. Green circles identify <strong>in</strong>dividual NCs that <strong>in</strong>termittently changed from ON to OFF state (bl<strong>in</strong>k<strong>in</strong>g)<br />

between frame 250 (b) <strong>and</strong> 253 (c). Cell viability follow<strong>in</strong>g load<strong>in</strong>g was tested us<strong>in</strong>g the trypan blue exclusion<br />

assay at low magnification, ×10. Osmotic shock without (d) <strong>and</strong> with 1 nM QD565ITK nanocrystals <strong>in</strong> the<br />

extracellular fluid (e) did not compromise cell viability. (f) In <strong>contrast</strong>, add<strong>in</strong>g ethanol reliably killed cells as<br />

reported by the dark trypan blue label<strong>in</strong>g. Scale bar for (d) to (f): 40 µm.<br />

75


Intracellular uses of colloidal semiconductor nanocrystals<br />

It is <strong>in</strong> response to this need that the Tsien laboratory (University of California, Calif, USA)<br />

<strong>in</strong>troduced genetically encoded fluorescent prote<strong>in</strong>s <strong>in</strong> cell biology (reviewed <strong>in</strong> (162)). An<br />

alternative strategy uses self-label<strong>in</strong>g prote<strong>in</strong> tags. The <strong>in</strong>troduction of a small prote<strong>in</strong> tag or<br />

of a unique comb<strong>in</strong>ation of am<strong>in</strong>o acids on the target prote<strong>in</strong> allows their <strong>in</strong>teraction with a<br />

specific fluorophore-bear<strong>in</strong>g substrate, here an NC. Examples of self-label<strong>in</strong>g prote<strong>in</strong> tags are<br />

biarsenical compounds (163,164), SNAP tag (165), <strong>and</strong> Halo tag (166). These approaches are<br />

helpful for develop<strong>in</strong>g new NC functionalization strategies for specific <strong>in</strong>tracellular target<strong>in</strong>g.<br />

Whole animal imag<strong>in</strong>g, <strong>in</strong> vivo<br />

Compared with applications to sub cellular imag<strong>in</strong>g <strong>in</strong> cell biology, NC-based whole-animal<br />

imag<strong>in</strong>g has developed very fast (167). Due to their long-<strong>wave</strong>length emission, brightness,<br />

<strong>and</strong> long-term photostability, NCs are ideal probes for sensitive <strong>in</strong> vivo imag<strong>in</strong>g <strong>in</strong> deep<br />

tissues of small animals or imag<strong>in</strong>g superficial tissue layers of larger species (114). The<br />

possibility of synthesiz<strong>in</strong>g NCs emitt<strong>in</strong>g <strong>in</strong> the <strong>in</strong>frared <strong>wave</strong>lengths m<strong>in</strong>imizes scatter<strong>in</strong>g,<br />

optimizes depth penetration <strong>and</strong> allows discrim<strong>in</strong>ation aga<strong>in</strong>st collagen autofluorescence <strong>and</strong><br />

thus should permit ultradeep imag<strong>in</strong>g of “optically thick” tissue (38,168), provided that<br />

cytotoxicity is not an issue (see Section 7).<br />

One of the first live-animal applications of NCs was the selective label<strong>in</strong>g of tumor<br />

vasculature <strong>in</strong> mice by us<strong>in</strong>g PEGylated NCs coated with specific peptidic sequences aga<strong>in</strong>st<br />

vascular markers. In 2002 Akerman et al. (127) showed <strong>in</strong> histological sta<strong>in</strong><strong>in</strong>g that after<br />

<strong>in</strong>travenous NC <strong>in</strong>jection, functionalized NCs can be addressed to specific blood vessels. A<br />

high level of PEG substitution on top of the functionalization of the NCs reduced their uptake<br />

<strong>in</strong>to the endothelial reticulum. One year later, Larson et al. were able to image by multiphoton<br />

microscopy NCs through the sk<strong>in</strong> of live mice, <strong>in</strong> capillaries embedded 100 µm <strong>in</strong><br />

tissue (107). Ballou et al. demonstrated the importance of long-cha<strong>in</strong> PEG (5 kDa) coat<strong>in</strong>g for<br />

<strong>in</strong>creas<strong>in</strong>g the duration of NCs circulat<strong>in</strong>g <strong>in</strong> the blood flow of mice (123). They were able to<br />

detect NCs by non<strong>in</strong>vasive whole body fluorescent imag<strong>in</strong>g, up to four months after <strong>in</strong>jection.<br />

The same report also showed that NCs deposit <strong>in</strong> liver, sk<strong>in</strong>, <strong>and</strong> bone marrow <strong>in</strong> a surface<br />

coat<strong>in</strong>g dependent manner <strong>and</strong> that polymer- <strong>and</strong> PEG coated (up to 3,400 Da MW) NCs are<br />

cleared from the blood after <strong>in</strong>jection. Gao et al. developed polymer-coated NCs<br />

functionalized with a monoclonal antibody directed aga<strong>in</strong>st prostate cancer cells as a cellspecific<br />

marker (169). After NC <strong>in</strong>jection <strong>in</strong> mice, transplanted with human cancer prostate<br />

cells, they succeeded <strong>in</strong> specifically detect<strong>in</strong>g <strong>and</strong> imag<strong>in</strong>g the tumor site. However, as their<br />

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Chapter 4<br />

NCs emitted <strong>in</strong> the visible spectrum, the authors used spectral unmix<strong>in</strong>g algorithms to detect<br />

the NC signal <strong>in</strong> the presence of autofluorescence. Along these l<strong>in</strong>es, Kim et al. (114)<br />

<strong>in</strong>tradermally <strong>in</strong>jected near <strong>in</strong>frared- emitt<strong>in</strong>g NCs <strong>in</strong> mice <strong>and</strong> pigs <strong>and</strong> imaged sent<strong>in</strong>el<br />

lymph nodes (SNL) one cm deep <strong>in</strong> tissue. This work enables for the first time SNL mapp<strong>in</strong>g<br />

<strong>and</strong> cancer surgery under image guidance. Metastatic tumor cell extravasations were<br />

monitored <strong>in</strong> mice by <strong>in</strong>travenous <strong>in</strong>jection of cells labeled with NC, which were exam<strong>in</strong>ed by<br />

fluorescence emission spectroscopy (149). More recently, Stroh et al. comb<strong>in</strong>ed NCs <strong>and</strong><br />

multi-photon <strong>in</strong>travital microscopy to dist<strong>in</strong>guish <strong>in</strong> mice tumor vessels from perivascular<br />

cells <strong>and</strong> extracellular matrix (150). With this approach, they also <strong>in</strong>vestigated the ability of<br />

NC-loaded silica beads (100–500nm diameter) to access the tumor <strong>and</strong> monitored the<br />

traffick<strong>in</strong>g of the precursor cells, a promis<strong>in</strong>g technique for cancer prevention <strong>and</strong> treatment.<br />

So et al. designed recently “self-illum<strong>in</strong>at<strong>in</strong>g” NC conjugates permitt<strong>in</strong>g <strong>in</strong> vivo imag<strong>in</strong>g<br />

without an external light source; <strong>in</strong>stead, luciferase on the NC surface transfers its excitation<br />

to the NC core <strong>in</strong> a biolum<strong>in</strong>escence resonance energy transfer (BRET) assay (170).<br />

Intramuscular or subcutaneous <strong>in</strong>jection <strong>in</strong> mice of 5 pmol of polymer-coated NCs conjugated<br />

to the Renilla reniformis luciferase was enough to image a BRET emanat<strong>in</strong>g from 3-mm<br />

depth tissue, after coelenteraz<strong>in</strong>e <strong>in</strong>jection for activation. We note that this study is one of the<br />

few applications that used NCs as acceptors rather than donors.<br />

Cytotoxicity<br />

As NCs are <strong>in</strong>creas<strong>in</strong>gly be<strong>in</strong>g used as biological photolum<strong>in</strong>escent probes, <strong>in</strong> both acute cell<br />

assays <strong>and</strong> chronic, <strong>in</strong> the entire animal, <strong>in</strong> vivo, it is important to evaluate if they represent a<br />

specific risk of toxicity for the organism under study.<br />

Although probably not classically termed cytotoxicity <strong>in</strong> a strict sense, one obvious problem<br />

result<strong>in</strong>g from the nanoscopic size of nanoparticles is that NCs can directly affect the<br />

biological system under study by impair<strong>in</strong>g the mobility, <strong>in</strong>teraction, b<strong>in</strong>d<strong>in</strong>g, or other<br />

biological action of the lig<strong>and</strong> molecule to which they are attached. Hence, any study us<strong>in</strong>g<br />

NC-conjugated biomolecules must exclude the <strong>in</strong>hibition of the enzyme, receptor, motor, or<br />

other by the NC.<br />

Concerns aga<strong>in</strong>st the use of semiconductor NCs for cell biological applications go well<br />

beyond arguments of steric h<strong>in</strong>drance. It is well known that Cd 2+ can be released from the<br />

CdSe core after oxidative attack (corrosion) (171). Bare CdSe NCs are particularly harmful <strong>in</strong><br />

this regard (137,172), limit<strong>in</strong>g their utility for direct-<strong>in</strong>jection strategies. Additional shells<br />

77


Intracellular uses of colloidal semiconductor nanocrystals<br />

(ZnS) <strong>and</strong> capp<strong>in</strong>g (silanization) can reduce Cd 2+ leakage, <strong>and</strong> further purification steps can<br />

remove already released Cd 2+ (172-174). In our h<strong>and</strong>s, a supplementary purification step prior<br />

to load<strong>in</strong>g NC reduces the toxic action of NCs (175), as measured by a resazur<strong>in</strong> or cell<br />

adhesion assay (Figure 25). Nevertheless, it is important to bear <strong>in</strong> m<strong>in</strong>d that despite sporadic<br />

claims of nanoparticles be<strong>in</strong>g <strong>in</strong>discrim<strong>in</strong>ately harmless (159), there is a general consensus<br />

that NC are toxic <strong>and</strong> that their toxicity depends on their concentration, precise chemical<br />

composition, the particle size, colloidal stability, as well as solubilization <strong>and</strong><br />

functionalization groups. Also, CdSe particles are generally more toxic <strong>in</strong>side the cell than<br />

extracellularly, <strong>in</strong> l<strong>in</strong>e with the known action of Cd 2+ by <strong>in</strong>hibit<strong>in</strong>g prote<strong>in</strong> synthesis,<br />

carbohydrate metabolism <strong>and</strong>—with time— by its accumulation <strong>in</strong> kidney <strong>and</strong> liver (176). At<br />

the same time, the undisputable cytotoxic action of Cd nanoparticles has not precluded acute<br />

sta<strong>in</strong><strong>in</strong>g experiments of cells, because the concentration of NCs can be always kept low<br />

enough to prevent immediate cytotoxic damage with<strong>in</strong> the experimental time w<strong>in</strong>dow, but<br />

still high enough for enough fluorescence (107,123,140,147,149,152). However, because of<br />

the lig<strong>and</strong> desorption over time, a simple lig<strong>and</strong> exchange functionalization is not effective to<br />

durably prevent <strong>in</strong>tracellular NC degradation. S<strong>in</strong>ce as much as NCs are <strong>in</strong>tr<strong>in</strong>sically<br />

colloidally unstable <strong>and</strong> cytotoxic for cells (177), the specific k<strong>in</strong>d of coat<strong>in</strong>g is essential for<br />

at least retard<strong>in</strong>g the cytotoxic effect (130,137,174). PEG coat<strong>in</strong>g can reduce the unspecific<br />

uptake ofNCs, it reduces their toxic effect for extracellular application at the same <strong>in</strong>itial<br />

concentration (130,172).<br />

For biomedical applications as well as chronic animal experiments, the major healthcare<br />

concern of NC labell<strong>in</strong>g is related to the leakage of Cd 2+ <strong>in</strong>to the organism, even at low dose.<br />

Extracellular application of CdSe particles already presents a cytotoxic risk because Cd 2+ does<br />

not only block Ca 2+ ion channels (like Co 2+ as well, which is released from magnetic NCs) but<br />

also it permeates through the channel <strong>and</strong> enters the cytoplasm. We note that the absence of a<br />

visible effect, often based on the detection of cell morphology changes <strong>and</strong> cell viability<br />

assays does not exclude a cumulative poison<strong>in</strong>g of the organism which first impairs the<br />

metabolism of the cells, without be<strong>in</strong>g immediately noxious. Interest<strong>in</strong>gly, a similar debate<br />

has long haunted the evaluation of nonl<strong>in</strong>ear photodamage caused by two-photon fluorescence<br />

excitation, where the <strong>in</strong>troduction of rigorous physiologically relevant criteria based on<br />

microscopic observables like the k<strong>in</strong>etics of Ca 2+ transients (178,179) has ended the futile<br />

discussion.<br />

In conclusion, more work is needed to critically evaluate the cytotoxicity of NCs, both upon<br />

short- <strong>and</strong> long-term exposure. To better underst<strong>and</strong> the deleterious action of different NCs on<br />

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Chapter 4<br />

the organism under study, st<strong>and</strong>ardized samples, experimental conditions, cells, <strong>and</strong> assays<br />

would be a great leap forward <strong>and</strong> pave the ground for biomedical applications that would<br />

additionally benefit from a tight collaboration with toxicologists.<br />

Figure 25 Experimental evaluation of cytotoxicity of polymercoated CdSe nanoparticles. Toxicity to NIH-3T3<br />

fibroblasts of a NC-conta<strong>in</strong><strong>in</strong>g solution was estimated after 48-hour application. Dose-response curve for cell<br />

viability was measured with a Resazur<strong>in</strong> assay (175). Reazur<strong>in</strong> is a non-fluorescent dye that is metabolized <strong>in</strong><br />

functional mitochondria <strong>and</strong> converted <strong>in</strong>to resoruf<strong>in</strong>, which fluoresces red. Black <strong>and</strong> grey curves show two<br />

experiments (n = 8 measurements each). Normalized survival R(c) after application of a Cd 2+ , concentration<br />

c(Cd) was estimated from the change <strong>in</strong> absorbance of the converted dye measured at 600 nm. Changes <strong>in</strong> R<br />

became significant at c(Cd) around 3–5 µM, whereby c(Cd) refers to the concentration of Cd 2+ on the surface of<br />

the CdSe nanoparticles, which accounts for the different toxicity of different-size NCs. This concentration of<br />

Cd 2+ corresponds to a concentration of CdSe nanoparticles of 50-70 nm. Similar data was obta<strong>in</strong>ed with a cell<br />

adhesion assay (172) (not shown). In <strong>contrast</strong> for free cobalt ions (Co 2+ ), cytotoxic effects became significant at<br />

around 50 µM (data not shown).<br />

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Intracellular uses of colloidal semiconductor nanocrystals<br />

Conclusions<br />

In this review, we focus on nanocrystal applications <strong>in</strong> vivo, both <strong>in</strong> cell biology <strong>and</strong> medical<br />

diagnostics, <strong>and</strong> on the potential toxicity of NCs for biological imag<strong>in</strong>g. The advances <strong>in</strong><br />

underst<strong>and</strong><strong>in</strong>g NC colloidal properties together with the ability of develop<strong>in</strong>g stable surface<br />

chemistries has brought about a large choice of functionalization strategies which now offer to<br />

biologists a versatile tool kit for many applications that rely on fluorescence <strong>and</strong> electron<br />

microscopy. The ma<strong>in</strong> advantages of NCs over conventional organic fluorophores are the<br />

possibility to detect easily s<strong>in</strong>gle molecules, mostly derived from their superior brightness <strong>and</strong><br />

the long-term photostability; the spectral tunability <strong>and</strong> narrow-b<strong>and</strong> emission; <strong>and</strong>, go<strong>in</strong>g<br />

along with these, the ease of NC use <strong>in</strong> multicolor fluorescence. However, nanoparticles are<br />

not a cure-all. Particularly Cd-based NCs are potentially cytotoxic, <strong>and</strong> the modulation of<br />

their optical properties (e.g., their <strong>in</strong>tr<strong>in</strong>sic fluorescence <strong>in</strong>termittency) through their local<br />

chemical environment (see, e.g., (180)) needs to be considered <strong>in</strong> each application.<br />

Acknowledments<br />

Work <strong>in</strong> laboratories related to this article was partially funded by the French M<strong>in</strong>istry of<br />

Research <strong>and</strong> Technology (Action Concert´ee Incitative (ACI) Nanosciences), by the GIP-<br />

ANR Nanoscience Program (PRA-PNANO-051 “NanoFRET”), <strong>and</strong> the European Union<br />

(NanoInteract toW. J. Parak). C. Luccard<strong>in</strong>i <strong>in</strong>itially recipient of a postdoctoral research<br />

fellowship f<strong>in</strong>anced by the European Union. (Long- Period Observation of S<strong>in</strong>gle<br />

Biomolecules by Novel Non- Invasive Fluorescence Lifetime Imag<strong>in</strong>g Nanoscopy (FLIN),<br />

STRP NMP4-CT-2004-013880 to M. Oheim) is now a Fondation pour la Recherche Médicale<br />

(FRM) fellow <strong>and</strong> A. Yakovlev is a postdoctoral fellow of the Centre National de la<br />

Recherche (CNRS to A. Feltz). S. Gaillard acknowledges support from the GIP-ANR. Marcel<br />

van ‘t Hoff’s work is f<strong>in</strong>anced by a Marie-Curie Research-tra<strong>in</strong><strong>in</strong>g Grant (From FLIM to<br />

FLIN, FP6-2005-019481 to M. Oheim). C. Luccard<strong>in</strong>i, A. Yakovlev, S. Gaillard, J.-M.<br />

Mallet, W. J. Parak, A. Feltz, <strong>and</strong> M. Oheim are members of the “NanoFRET” consortium,<br />

supported by the Groupement d’Intérêt Publique- Agence Nationale de la Recherche,<br />

Programme Nanosciences et Nanotechnologies (GIP-ANR PNANO).<br />

80


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(2005) Differences <strong>in</strong> subcellular distribution <strong>and</strong> toxicity of green <strong>and</strong> red<br />

emitt<strong>in</strong>g CdTe quantum dots. Journal of Molecular Medic<strong>in</strong>e, 83, 377.<br />

178. Koester, H.J., Baur, D., Uhl, R. <strong>and</strong> Hell, S.W. (1999) Ca2+ fluorescence<br />

imag<strong>in</strong>g with pico-<strong>and</strong> femtosecond two-photon excitation: signal <strong>and</strong><br />

photodamage. Biophysical journal, 77, 2226.<br />

179. Hopt, A. <strong>and</strong> Neher, E. (2001) Highly nonl<strong>in</strong>ear photodamage <strong>in</strong> two-photon<br />

fluorescence microscopy. Biophysical Journal, 80, 2029.<br />

180. Hohng, S. <strong>and</strong> Ha, T. (2004) Near-complete suppression of quantum dot<br />

bl<strong>in</strong>k<strong>in</strong>g <strong>in</strong> ambient conditions. Journal of the American Chemical Society, 126,<br />

1324.<br />

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181. Egner, A., Andresen, V. <strong>and</strong> Hell, S.W. (2002) Comparison of the axial<br />

resolution of practical Nipkow-disk confocal fluorescence microscopy with that<br />

of multifocal multiphoton microscopy: theory <strong>and</strong> experiment. J. Microsc., 206,<br />

24.<br />

182. S.A., A. Operat<strong>in</strong>g manual AA opto-electronique AO Deflection system. .<br />

183. Matic, N. <strong>and</strong> Set, I. (2003) PIC microcontrollers.<br />

184. Hennessy, M. (2004) PIC Programm<strong>in</strong>g.<br />

185. Bass, M., Van Stryl<strong>and</strong>, E.W., Williams, D.R. <strong>and</strong> Wolfe, W.L. (1995)<br />

H<strong>and</strong>book of optics. Vol. 2, Devices, measurements, <strong>and</strong> properties. McGraw-<br />

Hill New York, USA.<br />

186. Pawley, J.B. <strong>and</strong> Masters, B.R. (2008) H<strong>and</strong>book of biological confocal<br />

microscopy. JBO, 13, 029902.<br />

187. Chang, I.C. (1994) US patent no. 5,329,397.<br />

91


92<br />

Bibliography


Summary<br />

Summary<br />

Microscopy has been the <strong>in</strong>terest of biologists <strong>and</strong> physicist for many decades. Fluorescence<br />

is <strong>in</strong> imag<strong>in</strong>g an essential tool for underst<strong>and</strong><strong>in</strong>g more about physiological processes. By<br />

label<strong>in</strong>g prote<strong>in</strong>s or structures of cells with fluorescent markers, we are able to have prote<strong>in</strong> or<br />

structure specific spotlights. When us<strong>in</strong>g appropriate filters to separate the emission light<br />

(fluorescence) from the excitation light, we are able to see the spotlights <strong>in</strong> the dark.<br />

One of those specific labels is the semiconductor nanocrystal (NC). These NC are small (2 –<br />

10 nm) beads, which have superior light properties. Although they are not soluble <strong>in</strong> water,<br />

we can make them soluble by capp<strong>in</strong>g with a hydrophilic layer <strong>and</strong> l<strong>in</strong>k them to prote<strong>in</strong>s of<br />

<strong>in</strong>terest. In this manner, they are able to cross the plasma membrane <strong>and</strong> reach specific<br />

<strong>in</strong>tracellular targets. By capp<strong>in</strong>g with additional shells, the toxic reactions can be limited. NC<br />

are about an order of magnitude brighter <strong>and</strong> about thirty times more photostable than a<br />

commonly used dyes. (15,152)<br />

When imag<strong>in</strong>g cells, it is of <strong>in</strong>terest to look at only limited areas of <strong>in</strong>terest. With total<br />

<strong>in</strong>ternal reflection fluorescence microscopy the excitation volume can be effectively reduced.<br />

Upon reflection, an <strong>evanescent</strong> <strong>wave</strong> is created which penetrates transiently <strong>in</strong>to the medium<br />

with a penetration depth around 100 nm from the surface. With TIRF the membrane can be<br />

studied with high resolution <strong>and</strong> high <strong>contrast</strong> due to background rejection. An order of<br />

magnitude <strong>in</strong>crease <strong>in</strong> axial resolution can be obta<strong>in</strong>ed by us<strong>in</strong>g TIRF <strong>in</strong>stead of confocal<br />

microscopy.(15,181)<br />

TIRF is very useful for s<strong>in</strong>gle molecule detection. We labeled DNA str<strong>and</strong>s with the dye<br />

YOYO-1 that couples <strong>in</strong>side the DNA. By attach<strong>in</strong>g the DNA molecules on one side by<br />

l<strong>in</strong>kers to the cover slip, we can stretch the DNA out upon hydrodynamic flow. The DNA<br />

str<strong>and</strong> is near the surface <strong>and</strong> the <strong>evanescent</strong> <strong>wave</strong> excites only bound molecules. As a result<br />

we see long bright str<strong>and</strong>s, which we can measure <strong>in</strong> length, as there are many molecules <strong>in</strong><br />

the field of view we can obta<strong>in</strong> statistical relevant <strong>in</strong>formation. We used here square<br />

capillaries, which reduces the complexity of the system <strong>and</strong> time for development of<br />

dedicated channels, while still hav<strong>in</strong>g large numbers of data. By us<strong>in</strong>g image-denois<strong>in</strong>g<br />

techniques, the precision was <strong>in</strong>creased sixfold.<br />

Photons that go through a medium can scatter <strong>and</strong> diffuse the light path. This effect is<br />

m<strong>in</strong>imal, but scatter<strong>in</strong>g behavior is detectable <strong>and</strong> can enlarge the field of excitation. As the<br />

direction of the scatter<strong>in</strong>g is parallel to the surface <strong>in</strong> direction of the laser reflection, the flare<br />

is relatively narrow distributed <strong>in</strong> <strong>in</strong>itial direction. In order to overcome this problem a<br />

93


Summary<br />

rotation <strong>in</strong> laser directionality is added. By rotat<strong>in</strong>g the direction of the laser on the spot of<br />

reflection, the direction of scatter<strong>in</strong>g becomes uniform <strong>and</strong> diluted over the field of view. This<br />

reduces the background signal at equal signal <strong>and</strong> thus enhances the <strong>contrast</strong>. I used acousto<br />

optic deflectors, which can deflect the laser <strong>and</strong> modulate <strong>in</strong> <strong>in</strong>tensity. With a programmable<br />

light eng<strong>in</strong>e, the control is simplified, but still permits total control over the scann<strong>in</strong>g of the<br />

laser beam. Connectivity by the computer permits rapid switch<strong>in</strong>g of beam parameters. I<br />

showed here; the rapid switch<strong>in</strong>g of objectives with different pupil aperture, chang<strong>in</strong>g onl<strong>in</strong>e<br />

the angle of <strong>in</strong>cidence <strong>and</strong> the possibility to image spTIRF at high frame rates.<br />

94


Samenvatt<strong>in</strong>g<br />

Samenvatt<strong>in</strong>g<br />

S<strong>in</strong>ds vele decennia zijn biologen en natuurkundigen geïnteresseerd <strong>in</strong> microscopie. Voor<br />

beeldvorm<strong>in</strong>g met behulp van microscopie, is fluorescentie een essentieel <strong>in</strong>strument om meer<br />

te begrijpen over fysiologische processen. Door eiwitten of structuren van cellen te merken<br />

met fluorescente labels, hebben we eiwit of structuur specifieke schijnwerpers. Bij het gebruik<br />

van adequate filters zijn we <strong>in</strong> staat emissie (fluorescentie) van de excitatie licht te scheiden,<br />

en zien we dus zaklantaarns <strong>in</strong> het donker.<br />

Één van die specifieke labels is de halfgeleider nanokristal (NC). Deze NC zijn kle<strong>in</strong> balletjes<br />

(2 tot 10 nm), die superieure eigenschappen hebben. Hoewel ze niet oplosbaar <strong>in</strong> water zijn,<br />

kunnen we ze oplosbaar maken door ze te bedekken met een hydrofiele laag en kunnen we ze<br />

aan eiwitten van <strong>in</strong>teresse b<strong>in</strong>den. Op deze manier kunnen zij over de plasmamembraan gaan<br />

en specifieke <strong>in</strong>tracellulaire doelen bereiken. Door bedekk<strong>in</strong>g met extra lagen kunnen de<br />

toxische reacties worden beperkt. NC zijn ongeveer een order van grootte lum<strong>in</strong>euzer zijn en<br />

ongeveer dertig maal meer photostabiel zijn dan algemeen gebruikte fluoroforen.(15,152)<br />

Wanneer er cellen bestudeerd worden, is het een voordeel om je te focussen op slechts een<br />

gereduceerd gebied. Met totale <strong>in</strong>terne reflectie fluorescentiemicroscopie kan het excitatievolume<br />

effectief verm<strong>in</strong>derd worden. Na reflectie ontstaat er een <strong>evanescent</strong>e golf, die niet<br />

ver doordr<strong>in</strong>gt <strong>in</strong> het medium. Deze golf heeft een penetratiediepte van ongeveer 100<br />

nanometer vanaf het oppervlakte. Met TIRF kan het membraan worden bestudeerd met hoge<br />

resolutie en hoog <strong>contrast</strong>, te wijten aan een goede achtergrondsignaalverwerp<strong>in</strong>g. Een orde<br />

van grootte toename <strong>in</strong> axiale resolutie kan worden verkregen door TIRF <strong>in</strong> plaats van<br />

confocale microscopie te gebruiken.(15,181)<br />

TIRF is erg h<strong>and</strong>ig voor enkele-molekuul detectie. Wij labelden DNA-strengen met de<br />

kleurstof YOYO-1, dat b<strong>in</strong>dt aan het DNA. Dan hechten we het DNA met l<strong>in</strong>kers aan het<br />

dekglaasje. De <strong>evanescent</strong>e golf zal alleen de gebonden molekulen aanslaan. Door middel van<br />

een hydrodynamische strom<strong>in</strong>g zal het DNA zich uitrekken tot een lange heldere streng, en<br />

kan de lengte van een enkel DNA-molekuul gemeten worden, maar doordat er vele <strong>in</strong> het<br />

gezichtsveld zijn wordt er nog steeds relevante statistische <strong>in</strong>formatie verkregen. We<br />

gebruikten hier vierkante capillairen, die de complexiteit van het systeem en de tijd voor de<br />

ontwikkel<strong>in</strong>g van specifieke detectie kanalen verm<strong>in</strong>dert, terwijl nog een groot aantal<br />

gegevens <strong>in</strong> korte tijd verkregen kan worden. Door het gebruik van<br />

beeldruisonderdrukk<strong>in</strong>gstechnieken kan de precisie worden verzesvoudigd.<br />

95


Samenvatt<strong>in</strong>g<br />

Fotonen die door een medium gaan kunnen <strong>in</strong> het lichtpad verstrooien. Dit effect is m<strong>in</strong>imaal,<br />

maar het verstrooi<strong>in</strong>gsgedrag kan worden gedetecteerd en kan het excitatievolume vergroten.<br />

Aangezien de richt<strong>in</strong>g van de verstrooi<strong>in</strong>g parallel aan het oppervlak is <strong>in</strong> de richt<strong>in</strong>g van de<br />

laser reflectie, is de distributie relatief smal <strong>in</strong> de vorm van een vlam. Om dit probleem op te<br />

lossen voegen we een draai<strong>in</strong>g toe aan de laserricht<strong>in</strong>g. Door het draaien van de richt<strong>in</strong>g van<br />

de laser op de plek van reflectie, wordt de richt<strong>in</strong>g van verstrooi<strong>in</strong>g uniforme en dus verdeeld<br />

over het gezichtsveld. Dit verm<strong>in</strong>dert de achtergrondsignaal op gelijke <strong>in</strong>tensiteit en dus<br />

verhoogt het het <strong>contrast</strong>. Ik gebruikte akoesto-optische deflectoren die laserlicht kunnen<br />

afbuigen en moduleren <strong>in</strong> <strong>in</strong>tensiteit. Met een programmeerbare lichtmach<strong>in</strong>e wordt de<br />

aanstur<strong>in</strong>g vereenvoudigd., maar laat nog steeds toe de totale controle over het scannen van de<br />

laserstraal. Connectiviteit via de computer laat het toe om snel de lichtstraal te ver<strong>and</strong>eren. Ik<br />

liet hier zien; het snel wisselen tussen verschillende objectieven met verschillende aperturen,<br />

het onl<strong>in</strong>e ver<strong>and</strong>eren van hoek van <strong>in</strong>val en de mogelijkheid om op hoge snelheid beelden te<br />

verkrijgen <strong>in</strong> spTIRF.<br />

96


List of publications<br />

List of publications<br />

Gett<strong>in</strong>g across the plasma membrane <strong>and</strong> beyond: <strong>in</strong>tracellular uses of colloidal<br />

semiconductor nanocrystals.<br />

Luccard<strong>in</strong>i C, Yakovlev A, Gaillard S, van 't Hoff M, Alberola AP, Mallet JM, Parak<br />

WJ, Feltz A, Oheim M.<br />

J Biomed Biotechnol. 2007;(7):68963.<br />

A programmable light eng<strong>in</strong>e for quantitative s<strong>in</strong>gle molecule TIRF <strong>and</strong> HILO imag<strong>in</strong>g.<br />

van 't Hoff M, de Sars V, Oheim M.<br />

Opt Express. 2008;16(22):18495-504.<br />

Screen<strong>in</strong>g by imag<strong>in</strong>g: scal<strong>in</strong>g up s<strong>in</strong>gle-DNA-molecule analysis with a novel parabolic VA-<br />

TIRF reflector <strong>and</strong> noise-reduction techniques<br />

van 't Hoff M, Reuter M, Dryden DTF, Oheim M.<br />

Phys Chem Chem Phys. 2009; (11):7713-7720<br />

97


Dankwoord<br />

Dankwoord<br />

This work was only made possible through the support <strong>and</strong> help of many people. I would like<br />

to thank everyone who worked with me.<br />

First of all, my supervisor dr. Mart<strong>in</strong> Oheim. I owe you many thanks. As mentor, you taught<br />

me the fundaments of optics <strong>and</strong> microscopy. I learned many tricks, new tools <strong>and</strong> techniques<br />

<strong>in</strong> optics, but also the tricks <strong>in</strong> French bureaucracy. Your appreciation for developments <strong>in</strong><br />

<strong>and</strong> your passion for research has <strong>in</strong>spired me a lot.<br />

Second, I thank everyone from the group U603, neurophysiology <strong>and</strong> new microscopies. It<br />

has been joyful work<strong>in</strong>g with you all. Alexis, neighbor & chocolate addict, it feels like that, I<br />

learned most about the French life, culture <strong>and</strong> language from you. Didier, one day you<br />

should <strong>in</strong>vite me for your ‘pendaison de crémaillère’. Elena, although you could have been<br />

my mother, I liked a lot your energetic enthusiasm <strong>and</strong> our shared <strong>in</strong>terests <strong>in</strong> sports, cook<strong>in</strong>g,<br />

ice creams, board games <strong>and</strong> movies. Francesca, bella, I had much pleasure hav<strong>in</strong>g the journal<br />

club, writ<strong>in</strong>g articles <strong>and</strong> discuss<strong>in</strong>g off-topic subjects with you. Kar<strong>in</strong>e, one day I will come<br />

to Poitiers. Maki, my little dragon. I have had much fun with you on holidays, go<strong>in</strong>g out for<br />

dr<strong>in</strong>ks <strong>and</strong> many after work activities. Mateo, I had much fun with you play<strong>in</strong>g<br />

‘Regenwormen’, play<strong>in</strong>g volleyball <strong>and</strong> go<strong>in</strong>g to the Tennessee. Natasha, I loved your neverend<strong>in</strong>g<br />

euphoria. Nicole, thanks for all the proofread<strong>in</strong>g <strong>and</strong> support.<br />

Matthijs, Juliaan, het was altijd weer goed om thuis <strong>in</strong> Amsterdam te komen en jullie weer te<br />

zien en spreken. Wouter, Lizet, jullie zijn het bewijs dat vriendschap op afst<strong>and</strong> geen<br />

probleem is.<br />

Johanne, me<strong>in</strong> Engel, ich b<strong>in</strong> dankbar für diene Unterstützung und de<strong>in</strong>e Liebe, die du mit mir<br />

teilst.<br />

Ans, Ton, als ouders hebben jullie me altijd ondersteunt en vrijgelaten <strong>in</strong> dit avontuur.<br />

98


Appendix<br />

Appendix<br />

Appendix for the practical construction of a spTIRF microscope<br />

Introduction<br />

The follow<strong>in</strong>g appendix gives an overview of the ma<strong>in</strong>tenance <strong>and</strong> usability of the spTIRF<br />

system. The appendix is divided <strong>in</strong>to the optics, hardware <strong>and</strong> software, with each their own<br />

subcategories.<br />

Materials & Methods<br />

Optics<br />

As can be seen <strong>in</strong> Figure 26, <strong>in</strong> the f<strong>in</strong>al setup of a microscope many optical elements are used<br />

for the construction of the spTIRF microscope.<br />

In the com<strong>in</strong>g chapter about the AOM, one can read more about the details of the AOM. Two<br />

important notes here are the follow<strong>in</strong>g. Firstly, the laser has to be <strong>in</strong>jected <strong>in</strong>to the crystal by<br />

an angle equal to half the diffraction angle respective to the plane of the crystal. Secondly, the<br />

deflected first order is not parallel to the direction of the laser beam, thus it is better to<br />

position the AODs on a tilt <strong>and</strong> pan stage <strong>and</strong> preferable also a yz-translation stage. The<br />

deflection angle depends on the composition of the crystal used, which def<strong>in</strong>es the maximal<br />

frequency <strong>and</strong> acoustic velocity <strong>and</strong> f<strong>in</strong>ally the <strong>wave</strong>length of the laser used. As the maximal<br />

scan angle can be limited for the application showed <strong>in</strong> Chapter 3, a compress<strong>in</strong>g telescope<br />

can magnify the scan angles.<br />

A scan lens <strong>and</strong> objective act aga<strong>in</strong> as compress<strong>in</strong>g telescope <strong>and</strong> thus reach<strong>in</strong>g angles of<br />

<strong>in</strong>cidence beyond the critical angle as def<strong>in</strong>ed <strong>in</strong> Eq. 9. When us<strong>in</strong>g the 405 nm laser, care<br />

should be taken for the autofluorescence, which appears <strong>in</strong> many st<strong>and</strong>ard <strong>and</strong> achromatic<br />

lenses. The BK7 lenses have relatively high absorption for near UV <strong>and</strong> Violet light <strong>and</strong> can<br />

cause autofluorescence. Notch or short pass filters should filter out most autofluorescent light.<br />

Although dichroic filters have improved over the last years impressively with high <strong>contrast</strong><br />

ratios <strong>and</strong> steep transmission <strong>and</strong> reflection curves, the slight imperfection is still useful. The<br />

m<strong>in</strong>imal transmission can be focused on a simple <strong>and</strong> cheap CCD camera by relay optics for<br />

imag<strong>in</strong>g the virtual back focal plane (BFP) of the objective.<br />

99


Appendix<br />

Figure 26 Layout of the microscope, L1 & L2, L4 & L5 <strong>and</strong> L6 & condenser form<br />

compress<strong>in</strong>g telescopes. EX1 <strong>and</strong> EX2 are the autofluorescence <strong>and</strong> excitation filters<br />

respectively. The BFP <strong>and</strong> eBFP are both image planes.<br />

Hardware<br />

PIC<br />

To create the circl<strong>in</strong>g focus <strong>in</strong> the back focal plane of the objective, two crossed acoustic<br />

optical deflectors (AODs) were used. In this manner, we can create a TIRF microscope, where<br />

we can control the angle of <strong>in</strong>cidence at the surface lateral <strong>and</strong> rotational around the surface<br />

normal.<br />

Several different devices can control driver for the AODs. The AOD needs an <strong>in</strong>put signal <strong>in</strong><br />

the range of 100 – 145 MHz, which is given by the driver.(182) The driver can give a static<br />

100


Appendix<br />

frequency <strong>and</strong> amplitude for both the x- <strong>and</strong> y-axis, or a function generator can be used for the<br />

<strong>in</strong>put. However, to create a pattern, the x- <strong>and</strong> y-axis needs separately a function generator.<br />

With two function generators, one can select a s<strong>in</strong>usoidal pattern. If one of the function<br />

generators has a phase shift of ½ <strong>and</strong> an equal frequency, the output of the AOD is a circle.<br />

f<br />

i<br />

( r,<br />

) re<br />

Eq. 40<br />

With a triangle <strong>wave</strong>form <strong>in</strong>stead of the s<strong>in</strong>usoidal (with phase shift) the output is a square.<br />

Unfortunately, the options <strong>and</strong> precision of the function generators were limited. The<br />

available function generators could not be coupled or synchronized, so after a while the two<br />

s<strong>in</strong>e functions run out of phase. Therefore, we decided to use a personal computer <strong>in</strong><br />

comb<strong>in</strong>ation with a PIC (peripheral <strong>in</strong>terface controller) microcontroller to drive the AOD.<br />

The PIC microcontroller is of the family of the Harvard architecture. The Harvard architecture<br />

is computer architecture with physically separate storage <strong>and</strong> signal pathways for <strong>in</strong>structions<br />

<strong>and</strong> data, see Figure 27. The term orig<strong>in</strong>ated from the Harvard Mark I relay-based computer,<br />

which stored <strong>in</strong>structions on punched tape (24 digits wide) <strong>and</strong> data <strong>in</strong> electro-mechanical<br />

counters (23 digits wide). The most microcontroller <strong>in</strong>structions are s<strong>in</strong>gle cycle execution<br />

<strong>and</strong> are divided up to 4 clock cycles. The execution of an <strong>in</strong>struction starts by call<strong>in</strong>g an<br />

<strong>in</strong>struction that is next <strong>in</strong> str<strong>in</strong>g. Instructions are called from the program memory on every<br />

first clock cycle <strong>and</strong> are written <strong>in</strong> the <strong>in</strong>struction register on fourth clock cycle. Decod<strong>in</strong>g <strong>and</strong><br />

execution of <strong>in</strong>struction are done between the next the first <strong>and</strong> fourth clock cycles.(183,184)<br />

The <strong>in</strong>struction set conta<strong>in</strong>s an address location <strong>and</strong> data space. Next, there is no dist<strong>in</strong>ction<br />

between data <strong>in</strong> “registers” <strong>and</strong> “memory”, because both are readable <strong>and</strong> accessible.<br />

Depend<strong>in</strong>g on the PIC, the microcontroller has several <strong>in</strong>put <strong>and</strong> output (I/O) p<strong>in</strong>s. These can<br />

be selected to receive <strong>and</strong> transmit signals. Mounted on a pr<strong>in</strong>ted circuit board, fed with<br />

power, the microcontroller acts on its own <strong>and</strong> does what he has been programmed to, noth<strong>in</strong>g<br />

else. The microcontroller is a flexible device <strong>and</strong> can be used for many applications <strong>and</strong> it is<br />

surpris<strong>in</strong>g where you can f<strong>in</strong>d them.<br />

101


Appendix<br />

Program<br />

Memory<br />

Program 14-bits<br />

Address 12-bits<br />

Central<br />

Process<strong>in</strong>g<br />

Unit<br />

Data 8-bits<br />

Address 9-bits<br />

Data<br />

Memory<br />

Data 1-bit<br />

Data 8-bits<br />

Input<br />

Output<br />

Timers<br />

Figure 27 Separation of memory <strong>and</strong> central process<strong>in</strong>g unit. By separat<strong>in</strong>g the program memory, data memory,<br />

<strong>in</strong>put / output, timers <strong>and</strong> the central process<strong>in</strong>g unit. Although the complexity <strong>in</strong>creases with such a structure of<br />

complex electrical circuitry, also is the speed <strong>in</strong>creas<strong>in</strong>g. As the central process<strong>in</strong>g unit can read both an<br />

<strong>in</strong>struction <strong>and</strong> data from memory at the same time <strong>and</strong> is able to fetch the next <strong>in</strong>struction at the same time, its<br />

speed is much higher than the previous used ‘Von Neumann architecture’.<br />

In order to control the behavior of the PIC microcontroller, one needs to program it. When the<br />

PIC microcontroller is programmed <strong>and</strong> connected to a power supply, the circuit runs<br />

autonomously.<br />

The programm<strong>in</strong>g code of the PIC microcontroller is a low-level programm<strong>in</strong>g language<br />

called Assembler. The term “low” refers to the small or non-existent amount of abstraction<br />

between the language <strong>and</strong> the mach<strong>in</strong>e language; because of this, low-level languages are<br />

sometimes described as be<strong>in</strong>g “close to the metal”. It is therefore essential to underst<strong>and</strong> the<br />

microprocessor’s unique architecture, such as its registers <strong>and</strong> <strong>in</strong>structions.(92) Assembler is<br />

the low level programm<strong>in</strong>g language used on the PIC microcontrollers <strong>and</strong> each program is<br />

especially developed for one k<strong>in</strong>d of chip. Each PIC microchip has its own advantages <strong>and</strong><br />

complexity. One selects a PIC microchip especially for its application. The <strong>in</strong>struction set can<br />

vary from about 35 for the low-end PIC microcontrollers to about 70 <strong>in</strong>structions for the highend<br />

PIC microcontrollers <strong>and</strong> vary from 6-p<strong>in</strong> to 40-p<strong>in</strong> packages, see Figure 28..(93)Also,<br />

every PIC microchip has its specific memory allocation table <strong>and</strong> different amounts of<br />

memory <strong>and</strong> banks.<br />

102


Appendix<br />

RA2<br />

RA3<br />

RA4/T0CKI<br />

MCLR<br />

V SS<br />

RB0/INT<br />

RB1<br />

RB2<br />

RB3<br />

•1<br />

2<br />

3<br />

4<br />

5<br />

6<br />

7<br />

8<br />

9<br />

PIC16F84A<br />

18<br />

17<br />

16<br />

15<br />

14<br />

13<br />

12<br />

11<br />

10<br />

RA1<br />

RA0<br />

OSC1/CLKIN<br />

OSC2/CLKOUT<br />

V DD<br />

RB7<br />

RB6<br />

RB5<br />

RB4<br />

Figure 28 Example of I/O p<strong>in</strong>s of the PIC16F84A. This PIC has two ports, A <strong>and</strong> B. Port A has 5 p<strong>in</strong>s (0 – 4)<br />

<strong>and</strong> is considered as a 5 bits port <strong>and</strong> the Port B conta<strong>in</strong>s 8 p<strong>in</strong>s (0 – 7) <strong>and</strong> is considered as an 8 bits port. These<br />

ports are the most <strong>in</strong>terest<strong>in</strong>g <strong>and</strong> relevant for our setup.<br />

103


Appendix<br />

Figure 29 Wir<strong>in</strong>g scheme for pr<strong>in</strong>table circuit board. For <strong>in</strong>creas<strong>in</strong>g the amount of channels latches were used.<br />

Green <strong>and</strong> red l<strong>in</strong>es represent circuit connection respectively on the top <strong>and</strong> bottom of the card.<br />

104


Appendix<br />

AOM<br />

The acousto optic modulator (AOM) conta<strong>in</strong>s a transparent crystal with low absorption when<br />

<strong>in</strong>active. The crystal is made of TeO 2 , as this crystal has low light absorption, high<br />

homogeneity <strong>and</strong> high optical power capability. Nevertheless, light pass<strong>in</strong>g through a TeO 2<br />

along the "slow" direction, will emerge with its polarization direction rotated by 90°.(185)<br />

The performance is based on the optical effects of acoustic fields on birefr<strong>in</strong>gent crystals. The<br />

acoustic field is generated <strong>and</strong> controlled by a piezoelectric crystal attached to one side of the<br />

crystal, work<strong>in</strong>g at a frequency between 50 <strong>and</strong> 150 MHz, <strong>and</strong> a vibration absorber attached to<br />

the other side, see Figure 30.(186,187)<br />

At a specific frequency of the acoustic <strong>wave</strong>, the periodic pattern of compression affects the<br />

local density <strong>and</strong> therefore the refractive <strong>in</strong>dex of the crystal <strong>and</strong> forms a three-dimensional<br />

periodic diffractor. Light pass<strong>in</strong>g through the crystal is diffracted at an angle () that depends<br />

on the frequency of the acoustic <strong>wave</strong> <strong>and</strong> on the <strong>wave</strong>length of the light:<br />

f<br />

a<br />

s<strong>in</strong> <br />

Eq. 41<br />

V<br />

a<br />

where is the optical <strong>wave</strong>length <strong>in</strong> air, V a is the acoustical velocity of the material <strong>and</strong> f a is<br />

the acoustic frequency. For a TeO 2 crystal at 125 MHz, the diffraction angle for a 405 nm<br />

laser is 4,35°. For a AOD with a b<strong>and</strong>width of 50 MHz would give a maximal scan range of<br />

1,75°.<br />

Care should be taken to the proper <strong>in</strong>jection of the laser beam onto the crystal <strong>in</strong> order to have<br />

maximal deflection efficiency. Alignment can be optimized by rotat<strong>in</strong>g or translat<strong>in</strong>g the<br />

crystal.<br />

105


Appendix<br />

Acoustic<br />

absorber<br />

<br />

2<br />

1-order<br />

0-order<br />

Acoustic<br />

<strong>wave</strong>s<br />

Piezo-lectric<br />

transducer<br />

Figure 30 An acousto optic deflector creates a Bragg grat<strong>in</strong>g. When light enters with an angle , light is<br />

diffracted to the first order, which depends on the <strong>wave</strong>length, acoustical velocity of the crystal <strong>and</strong> the acoustic<br />

frequency. Efficiency depends on the acoustic <strong>wave</strong> amplitude.<br />

106


Appendix<br />

Software<br />

Assembler<br />

The PIC runs on software written with MPLAB IDE v7.60 from www.microchip.com. This<br />

free software suite is an <strong>in</strong>tegrated development environment.<br />

In the text field it easy to write the code <strong>and</strong> automatically highlight statements, variables,<br />

comments <strong>and</strong> macros. On the left it is possible to set flags, which <strong>in</strong>dicates the simulator to<br />

stop when reach<strong>in</strong>g at this po<strong>in</strong>t.<br />

After edit<strong>in</strong>g the code has to be compiled for test<strong>in</strong>g <strong>and</strong> runn<strong>in</strong>g on the PIC. On the taskbar<br />

select the pictogram Build All. Errors will occur <strong>in</strong> the w<strong>in</strong>dow Output for analyz<strong>in</strong>g where it<br />

went wrong. For simulat<strong>in</strong>g the program, the simulation can be run fast (Run), slow<br />

(Animate) or stepwise (Step Into). Use flags to go fast forward to the <strong>in</strong>terest<strong>in</strong>g part of the<br />

code.<br />

In the w<strong>in</strong>dow File Registers are all the registers <strong>in</strong> the PIC. These can be predef<strong>in</strong>ed as can<br />

be read <strong>in</strong> the datasheet or selfdef<strong>in</strong>ed variables <strong>in</strong> the free memory block. The addresses are<br />

cont<strong>in</strong>uous but are physically <strong>and</strong> by programm<strong>in</strong>g separated <strong>in</strong>to banks. Attention should be<br />

given <strong>in</strong>to switch<strong>in</strong>g to the right bank for stor<strong>in</strong>g or call<strong>in</strong>g a variable or constant.<br />

In the w<strong>in</strong>dow Stopwatch you are able to test the speed of the program <strong>and</strong> see how many<br />

cycles or microseconds it takes to perform a task. By us<strong>in</strong>g flags <strong>in</strong> the text edit field you can<br />

follow tim<strong>in</strong>gs between flags or measure the speed of a loop.<br />

In the w<strong>in</strong>dow Watch you are able to add variables saved <strong>in</strong> the memory <strong>and</strong> predef<strong>in</strong>ed<br />

switches <strong>in</strong> the PIC <strong>and</strong> follow the changes <strong>in</strong> memory. This can be helpful for follow<strong>in</strong>g the<br />

decimal <strong>and</strong> b<strong>in</strong>ary transitions.<br />

In the w<strong>in</strong>dow Disassembly List<strong>in</strong>g a bitwise <strong>and</strong> simplified code is displayed.<br />

In the w<strong>in</strong>dow Stimulus one can simulate stimuli send to the PIC. This can be useful for<br />

test<strong>in</strong>g serial port communication or switches connected to the I/O port of the PIC.<br />

In the w<strong>in</strong>dow Hardware Stack the stack of the call <strong>and</strong> return addresses can be seen, which is<br />

f<strong>in</strong>ite <strong>in</strong> size. Call<strong>in</strong>g <strong>in</strong> loops should be used with care <strong>and</strong> proper return statements should be<br />

used to make sure that the return addresses are not overwritten.<br />

The RAM of the PIC can be written with the compiled source by W<strong>in</strong>Pic800<br />

107


Appendix<br />

C++<br />

The controller program for controll<strong>in</strong>g the PIC is done by a self-made program, written <strong>in</strong> the<br />

C++ language. The Dev-C++ 4.9.9.2 <strong>in</strong>terface was used with the Qt 4.2.3 compiler. The Qt<br />

moc UI came from the <strong>in</strong>staller. Common <strong>in</strong>stallation <strong>in</strong>structions were followed.<br />

Makefile:<br />

1<br />

2<br />

3<br />

4<br />

5<br />

6<br />

7<br />

8<br />

9<br />

10<br />

11<br />

QT_MOC_UI=qt-moc-ui.exe<br />

all-before: qt_moc_ui $(patsubst %.cpp,%.o,$(wildcard moc_*.cpp)) moclib.a<br />

qt_moc_ui:<br />

$(QT_MOC_UI)<br />

moc_%.o: moc_%.cpp<br />

$(CPP) -c $< -o $@ $(CXXFLAGS)<br />

moclib.a:<br />

ar cq moclib.a $(wildcard moc_*.o)<br />

clean-custom:<br />

${RM} moc_*.cpp<br />

${RM} ui_*.h<br />

The program is easy to make with different <strong>in</strong>terfaces. Refer to the commonly available<br />

manuals for more <strong>in</strong>formation about C++ or Qt.<br />

The C++ code for communicat<strong>in</strong>g with the PIC by the serial port is as follow<strong>in</strong>g:<br />

C++ (.cpp)<br />

1<br />

2<br />

3<br />

4<br />

5<br />

6<br />

7<br />

8<br />

9<br />

10<br />

11<br />

12<br />

13<br />

14<br />

15<br />

16<br />

17<br />

18<br />

19<br />

20<br />

21<br />

22<br />

23<br />

24<br />

25<br />

26<br />

27<br />

28<br />

29<br />

30<br />

31<br />

32<br />

33<br />

34<br />

35<br />

36<br />

void W<strong>in</strong>dow::openSerial()<br />

{<br />

QStr<strong>in</strong>g tmpQstr;<br />

QStr<strong>in</strong>g error;<br />

tmpQstr = "Serial errors: ";<br />

foo = new WCHAR[5];<br />

foo[0]='C';<br />

foo[1]='O';<br />

foo[2]='M';<br />

foo[3]='1';<br />

hSerial = CreateFile(foo,<br />

GENERIC_READ | GENERIC_WRITE,<br />

0,<br />

0,<br />

OPEN_EXISTING,<br />

FILE_ATTRIBUTE_NORMAL,<br />

0);<br />

// COM1 for st<strong>and</strong>ard configuration<br />

if(hSerial==INVALID_HANDLE_VALUE){<br />

if(GetLastError()==ERROR_FILE_NOT_FOUND){<br />

//serial port does not exist. Inform user.<br />

}<br />

//some other error occurred. Inform user.<br />

}<br />

delete[] foo;<br />

dcbSerialParams.DCBlength = sizeof(dcbSerialParams);<br />

if (!GetCommState(hSerial, &dcbSerialParams)) {<br />

//error gett<strong>in</strong>g state<br />

}<br />

dcbSerialParams.BaudRate=CBR_9600;<br />

dcbSerialParams.ByteSize=8;<br />

dcbSerialParams.StopBits=ONESTOPBIT;<br />

108


Appendix<br />

37<br />

38<br />

39<br />

40<br />

41<br />

42<br />

43<br />

44<br />

45<br />

46<br />

47<br />

48<br />

49<br />

50<br />

51<br />

52<br />

53<br />

54<br />

55<br />

56<br />

57<br />

58<br />

59<br />

60<br />

61<br />

62<br />

63<br />

64<br />

65<br />

66<br />

67<br />

68<br />

69<br />

70<br />

71<br />

72<br />

73<br />

74<br />

75<br />

76<br />

77<br />

78<br />

79<br />

80<br />

81<br />

82<br />

83<br />

84<br />

85<br />

86<br />

87<br />

88<br />

89<br />

90<br />

91<br />

92<br />

93<br />

94<br />

95<br />

96<br />

97<br />

}<br />

dcbSerialParams.Parity=NOPARITY;<br />

if(!SetCommState(hSerial, &dcbSerialParams)){<br />

//error sett<strong>in</strong>g serial port state<br />

}<br />

timeouts.ReadIntervalTimeout=50;<br />

timeouts.ReadTotalTimeoutConstant=50;<br />

timeouts.ReadTotalTimeoutMultiplier=10;<br />

timeouts.WriteTotalTimeoutConstant=50;<br />

timeouts.WriteTotalTimeoutMultiplier=10;<br />

if(!SetCommTimeouts(hSerial, &timeouts)){<br />

//error occureed. Inform user<br />

}<br />

void W<strong>in</strong>dow::sendSerialInputField()<br />

{<br />

QStr<strong>in</strong>g tmpQstr;<br />

QStr<strong>in</strong>g error, transmit;<br />

tmpQstr = "Errors: ";<br />

<strong>in</strong>t n = 6;<br />

char szBuff[n + 1];<br />

bool ok;<br />

// Number of entries<br />

// Add EoL<br />

/* --------------------------<br />

| 1) Program select<br />

| 1) circle<br />

| 2) lissjous<br />

| 3) epi<br />

| 4) tornado<br />

| 5) square<br />

|<br />

| 2) s<strong>in</strong>_0<br />

| 3) cos_0<br />

| 4) offset_s<strong>in</strong><br />

| 5) offset_cos<br />

| 6) ga<strong>in</strong>_s<strong>in</strong><br />

| 7) ga<strong>in</strong>_cos<br />

| 8) frequency_s<strong>in</strong><br />

| 9) frequency_cos / ga<strong>in</strong>_s<strong>in</strong>_counter_<strong>in</strong>it<br />

--------------------------*/<br />

}<br />

dwBytesRead = 0;<br />

for (<strong>in</strong>t counter = 0; counter >= 0; counter--)<br />

{<br />

szBuff[0] = 6;<br />

szBuff[1] = nManualInputFieldX;<br />

szBuff[2] = 7;<br />

szBuff[3] = nManualInputFieldY;<br />

}<br />

if(!WriteFile(hSerial, szBuff, n, &dwBytesRead, NULL))<br />

{<br />

//error occurred. Report to user.<br />

error = "uho 6, ";<br />

emit transmitErrorMsg(error);<br />

}<br />

109


Appendix<br />

C++ (.h)<br />

1<br />

2<br />

3<br />

4<br />

5<br />

6<br />

7<br />

8<br />

9<br />

10<br />

11<br />

12<br />

13<br />

14<br />

class W<strong>in</strong>dow : public QWidget<br />

{<br />

Q_OBJECT<br />

private:<br />

char *szBuff[];<br />

HANDLE hSerial;<br />

WCHAR *foo;<br />

DCB dcbSerialParams;<br />

COMMTIMEOUTS timeouts;<br />

DWORD dwBytesRead;<br />

QGridLayout *layout;<br />

};<br />

110


Appendix<br />

All rights reserved. No part of this publication or the <strong>in</strong>formation conta<strong>in</strong>ed here<strong>in</strong> may be<br />

reproduced, stored <strong>in</strong> a retrieval system, or transmitted <strong>in</strong> any form or by any means,<br />

electronic, mechanical, by photocopy<strong>in</strong>g, record<strong>in</strong>g or otherwise, without written prior<br />

permission from the publisher.<br />

Alle rechten voorbehouden. Geen enkel deel van deze publicatie of de hier<strong>in</strong> opgenomen<br />

<strong>in</strong>formatie mag worden verveelvoudigd, opgeslagen <strong>in</strong> een systeem of uitgezonden <strong>in</strong> enige<br />

vorm of op enige wijze, hetzij elektronisch, mechanisch, door fotokopieën, opnamen of <strong>and</strong>ere<br />

manier, zonder voorafga<strong>and</strong>e schriftelijke toestemm<strong>in</strong>g van de uitgever.<br />

111

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