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Journal <strong>of</strong><br />

BIOPHOTONICS<br />

128<br />

1. Introduction<br />

B. R. Masters: <strong>Correlation</strong> <strong>of</strong> <strong>histology</strong> <strong>and</strong> <strong>linear</strong> <strong>and</strong> non<strong>linear</strong> <strong>microscopy</strong> <strong>of</strong> <strong>the</strong> living human cornea<br />

The history <strong>of</strong> <strong>the</strong> <strong>linear</strong> <strong>and</strong> non<strong>linear</strong> optical microscope<br />

is inextricably linked to <strong>the</strong> development <strong>of</strong><br />

new clinical instruments that play important roles in<br />

our underst<strong>and</strong>ing <strong>of</strong> cells <strong>and</strong> tissues <strong>and</strong> in <strong>the</strong><br />

early diagnosis <strong>and</strong> <strong>the</strong> prevention <strong>of</strong> disease. In <strong>the</strong><br />

domain <strong>of</strong> <strong>linear</strong> optics <strong>the</strong> response <strong>of</strong> <strong>the</strong> induced<br />

polarization to <strong>the</strong> incident electromagnetic field is<br />

<strong>linear</strong> with <strong>the</strong> amplitude <strong>of</strong> <strong>the</strong> field. Linear optical<br />

effects include one-photon absorption, scattering,<br />

<strong>and</strong> fluorescence. Exchange <strong>of</strong> energy <strong>and</strong> momentum<br />

can occur in <strong>linear</strong> interactions, e.g. absorption<br />

<strong>and</strong> scattering. Linear optical phenomena are characterized<br />

by a induced polarization PðtÞ in <strong>the</strong> material<br />

that depends in a <strong>linear</strong> manner on <strong>the</strong> electric<br />

field strength EðtÞ:<br />

PðtÞ ¼"0 c ð1Þ EðtÞ ; ð1Þ<br />

<strong>the</strong> constant <strong>of</strong> proportionality c ð1Þ is known as <strong>the</strong><br />

<strong>linear</strong> susceptibility <strong>and</strong> "0 is <strong>the</strong> permittivity <strong>of</strong> free<br />

space.<br />

Non<strong>linear</strong> optical effects are characterized by <strong>the</strong><br />

non<strong>linear</strong> response <strong>of</strong> <strong>the</strong> induced polarization to<br />

<strong>the</strong> incident electromagnetic field; <strong>the</strong> response is<br />

non<strong>linear</strong> in <strong>the</strong> amplitude <strong>of</strong> <strong>the</strong> field [1, 2]. For <strong>the</strong><br />

case <strong>of</strong> non<strong>linear</strong> optics, <strong>the</strong> optical response is described<br />

by expressing <strong>the</strong> induced polarization PðtÞ<br />

as a power series <strong>of</strong> <strong>the</strong> electric field strength:<br />

PðtÞ ¼"0½c ð1Þ EðtÞþc ð2Þ E 2 ðtÞþc ð3Þ E 3 ðtÞþ...Š : ð2Þ<br />

The quantities c ð2Þ <strong>and</strong> c ð3Þ are known as <strong>the</strong> second<strong>and</strong><br />

<strong>the</strong> third-order non<strong>linear</strong> optical susceptibilities.<br />

In writing <strong>the</strong>se two equations an important assumption<br />

is made: <strong>the</strong> polarization <strong>of</strong> <strong>the</strong> material at<br />

time t, only depends on <strong>the</strong> instantaneous value <strong>of</strong><br />

<strong>the</strong> electric field strength. It follows from this assumption,<br />

through <strong>the</strong> Kramers-Kronig relations,<br />

that <strong>the</strong> medium must be lossless <strong>and</strong> dispersion less.<br />

Typically non<strong>linear</strong> optical phenomena occur in <strong>the</strong><br />

presence <strong>of</strong> laser-matter interactions in <strong>the</strong> presence<br />

<strong>of</strong> very high electric field strengths. At high light<br />

intensities, <strong>the</strong> incident light modifies <strong>the</strong> induced<br />

polarization such that light waves can interact <strong>and</strong><br />

exchange energy <strong>and</strong> momentum. Examples <strong>of</strong><br />

non<strong>linear</strong> optical effects include <strong>the</strong> Pockels <strong>and</strong><br />

Kerr electro-optic effects, multiphoton excitation<br />

(MPE) [3], second-harmonic generation (SHG),<br />

third-harmonic generation (THG) [4], <strong>and</strong> coherent<br />

anti-Stokes Raman scattering (CARS) [5].<br />

Correlative <strong>microscopy</strong> is based on <strong>the</strong> use <strong>of</strong><br />

different optical techniques to study <strong>the</strong> same specimen,<br />

ideally at <strong>the</strong> same location within <strong>the</strong> specimen,<br />

in order to increase <strong>the</strong> functional <strong>and</strong>/or morphological<br />

underst<strong>and</strong>ing <strong>of</strong> <strong>the</strong> specimen. Typically,<br />

correlative <strong>microscopy</strong> could include <strong>linear</strong> (confocal<br />

<strong>microscopy</strong>, optical low-coherence reflectometry)<br />

toge<strong>the</strong>r with non<strong>linear</strong> <strong>microscopy</strong> (MPE, SHG,<br />

THG, <strong>and</strong> CARS).<br />

The purpose <strong>and</strong> <strong>the</strong> emphasis <strong>of</strong> this paper is to<br />

point out <strong>the</strong> limitations, <strong>and</strong> <strong>the</strong> multiple confounding<br />

factors that make <strong>the</strong> interpretation <strong>of</strong> corneal<br />

functional <strong>and</strong> morphological images difficult.<br />

1.1 Confocal <strong>microscopy</strong><br />

In <strong>the</strong> last decades <strong>the</strong>re have been improvements in<br />

both <strong>the</strong> resolution <strong>and</strong> <strong>the</strong> contrast <strong>of</strong> optical microscopes.<br />

The invention <strong>of</strong> various types <strong>of</strong> confocal<br />

microscopes, that generate contrast from <strong>the</strong> processes<br />

<strong>of</strong> <strong>linear</strong> absorption, scattering, <strong>and</strong> fluorescence,<br />

provides researchers in cell biology with<br />

extremely useful tools to investigate <strong>the</strong> biology <strong>of</strong><br />

cells in thick, highly scattering tissues. Confocal microscopes<br />

are based on <strong>the</strong> principle <strong>of</strong> spatial filtering<br />

<strong>and</strong> permit live cell imaging <strong>of</strong> cells <strong>and</strong> thick,<br />

highly scattering tissues with improved “optical sectioning”<br />

<strong>and</strong> improved contrast as compared to traditional<br />

epi-fluorescence microscopes [6].<br />

The first applications <strong>of</strong> confocal <strong>microscopy</strong><br />

were applied to cells <strong>and</strong> tissues that were fixed, <strong>and</strong><br />

stained with immunochemical stains <strong>of</strong> high specificity<br />

to delineate <strong>the</strong> fine structures in cells such as<br />

<strong>the</strong> cytoskeleton. Only later did researchers apply<br />

confocal <strong>microscopy</strong> to live cells <strong>and</strong> tissues both ex<br />

vivo <strong>and</strong> in vivo, i.e. three-dimensional imaging <strong>the</strong><br />

in vivo human cornea [7] <strong>and</strong> in vivo human skin<br />

[8].<br />

Two modes <strong>of</strong> contrast are implemented in confocal<br />

<strong>microscopy</strong>. The first mode generates contrast<br />

in <strong>the</strong> images with reflected <strong>and</strong> scattered light<br />

that occurs at <strong>the</strong> interfaces with different refractive<br />

indexes [6]. A registered stack <strong>of</strong> optical<br />

sections could <strong>the</strong>n be transformed in a digital<br />

computer into a three-dimensional volume that visualized<br />

<strong>the</strong> structure <strong>of</strong> cells <strong>and</strong> tissues, <strong>and</strong> <strong>the</strong>se<br />

computer generated structures could be visualized<br />

from any arbitrary orientation. The second mode<br />

generates <strong>the</strong> image contrast by exciting <strong>the</strong> fluorescence<br />

from ei<strong>the</strong>r intrinsic naturally occurring<br />

fluorescent molecules, for example, reduced pyridine<br />

nucleotides, NAD(P)H, <strong>and</strong> oxidized flavoproteins<br />

[6]. Both <strong>the</strong> reduced nicotinamide adenine<br />

dinucleotide, NADH, <strong>and</strong> <strong>the</strong> reduced nicotinamide<br />

adenine dinucleotide phosphate, NADPH, are denoted<br />

as NAD(P)H. The fluorescence <strong>of</strong> NAD(P)H<br />

is in <strong>the</strong> range <strong>of</strong> 400–500 nm. Alternatively, contrast<br />

in confocal <strong>microscopy</strong> could be based on<br />

fluorescent probes that are genetically over-expressed<br />

such as green fluorescent proteins (GFP),<br />

or molecular probes that were externally applies to<br />

<strong>the</strong> cells <strong>and</strong> tissues [6].<br />

# 2009 by WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim www.biophotonics-journal.org

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