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Fig. 3. Image cross-correlation spectroscopy analysis of dextran and chromatin distribution. (A) Example of the image correlation spectroscopy analysis of cells, into which 464 kDa FITC-dextrans were injected. The autocorrelation function of the DAPI-stained chromatin distribution, G1(r), and of the distribution of the 464 kDa FITC-dextrans, G2(r), as well as the cross-correlation function of the two distributions, Gx(r), were computed as described in the text (Eqn 3). The dashed lines are Gaussian fits to the shortest decay of each correlation function, from which the autocorrelation amplitudes G1(0) and G2(0) are obtained as indicated. These values are then used to calculate the normalized cross-correlation function ratioG(r) with its value at r=0, ratioG0, according to Eqn 4. This normalizes for intensity differences between images. The autocorrelation length lc that describes the chromatin condensation state is the length, after which the Gaussian fit to the DAPI-stained chromatin correlation function has decreased to half of its maximum value. Due to the exclusion of the dextrans from condensed chromatin areas, the cross-correlation curve and its Gaussian fit have a negative amplitude Gx(0). From the decay of the Gx(r) curve, the cross-correlation length lx for the exclusion is determined in analogy to the autocorrelation length. (B-D) Normalized cross-correlation curves for dextrans in control (broken line) and TSA-treated cells (solid line). (B) 77 kDa dextran during interphase. (C) 464 kDa during interphase. (D) 464 kDa dextrans during metaphase. (E) Measured dextran sizes given by the radius of gyration RG. As expected for a random coil, RG is proportional to the square root of the dextran mass m and a very good fit (solid line) to the expression RG=1.104 nm kDa1/2 m1/2 was obtained. Error bars for the low molecular mass dextrans are smaller than the size of the data points. (F) Nuclear distribution of dextrans with respect to chromatin in dependence of dextran size for control (broken line) and TSA-treated cells (solid line) during interphase. The co-localization/exclusion of dextrans from chromatin is expressed as the normalized cross-correlation signal ratioG0 according to Eqn 3. Eqn 4 was fit to the data for the control cells (broken line) with values of r1=8.9 nm and r2=22.9 nm. For the TSA-treated cells a constant line (solid line) with the average value of ratioG0 is depicted.
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