27.12.2012 Views

ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

differentiation was induced by changing the GM to a differentiation medium (DM). The<br />

DM consisted of the aforementioned GM, supplemented with 5μg/ml insulin (Sigma),<br />

1μM dexamethasone (Sigma), and 0.5μM 3-isobutyl-1-methylxanthine (IBMX; Sigma).<br />

Three days after inducing differentiation, the DM was replaced by a supporting medium<br />

(SM) consisting of the GM supplemented with 5μg/ml insulin (Sigma). The SM was<br />

changed every 2-3 days.<br />

3.2 Wide field digital interferometric microscopy<br />

17 days after differentiation was induced in the cultures, we evaluated the stiffness of<br />

the differentiated adipocytes using wide field digital interferometric microscopy<br />

(WFDI), described as follows (Shaked et al., 2010, 2011). Light from a coherent source<br />

(laser 18mW HeNe) was split into reference and object beam by a beam splitter. While<br />

the object beam was transmitted through the sample and magnified by a microscope<br />

objective (60×, 0.85 numerical aperture), the reference beam was only transmitted<br />

through a microscope objective that was similar to the object-beam microscope<br />

objective. These two beams were then combined together with a small angle to each<br />

other (off-axis holographic geometry). Using a lens, positioned in a 4f configuration<br />

with each of the microscope objectives, the combined beams were projected onto a<br />

digital camera (1280×1024, 5.2 μm×5.2 μm pixels). The 4f configuration allowed<br />

projection of the amplitude and phase distributions of the sample onto the digital<br />

camera. The digital hologram acquired by the camera was the intensity of the<br />

summation of the object and reference waves:<br />

(1)<br />

where and were the sample and reference field distributions, respectively,<br />

was the spatial phase associated with the sample, related to the angular shift between<br />

the sample and the reference fields, and was the direction of the angular shift. The<br />

digital processing method started with a digital two-dimensional Fourier transform. The<br />

resulting spatial-frequency contents included reference- and sample-field<br />

autocorrelations (as a result of transforming the first two elements of Eq. (1)) that are<br />

located around the origin of the spatial spectrum, and cross-correlation terms (as a result<br />

of transforming the exponential term in Eq. (1)), each located at a different side of the<br />

spatial spectrum. The angle between the object and reference beams determined the<br />

exact locations of the cross-correlation terms. One of the cross-correlation terms was<br />

then isolated and centered. A digital two-dimensional inverse Fourier transform on the<br />

result yielded . Given the transparency of the cells, weak<br />

amplitude was assumed and the phase argument of the result was the phase<br />

profile of the sample, given as:<br />

(2)<br />

where was the illumination wavelength (632.8 nm), was the spatially varying<br />

integral refractive index (along the cell thickness, (Bolin et al., 1989),<br />

(Curl et al., 2005)), was the medium refractive index (1.33)<br />

(Bolin et al., 1989), was the spatially varying thickness profile of the cell, and<br />

was the height of the cell medium. The value of was measured in places<br />

where there were no cells located. We acquired 315 interferograms at ~21 frames/s. The<br />

temporal changes in the cell thickness (optical fluctuations) were converted into the<br />

optical spring factor of the cell which indicates on the cell stiffness:<br />

(3)<br />

where was the effective local spring constant, was Boltzmann’s constant,<br />

3

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!