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Principles of Fluorescence Spectroscopy

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840 FLUORESCENCE CORRELATION SPECTROSCOPY<br />

PROBLEMS<br />

P24.1. Figure 24.8 shows autocorrelation curves for several<br />

concentrations <strong>of</strong> R6G. Assume these concentrations<br />

are correct. What is the effective volume (V eff ) <strong>of</strong> the<br />

sample? Assume the ratio for the ellipsoidal volume is<br />

µ/s = 4.0. What are the dimensions <strong>of</strong> the ellipsoid?<br />

P24.2. Figure 24.10 shows the autocorrelation function for<br />

labeled α-lactalbumin (14,000 daltons) in the<br />

absence and presence <strong>of</strong> GroEL (840,000 daltons).<br />

Is the change in diffusion time consistent with complete<br />

binding <strong>of</strong> α-lactalbumin to GroEL?<br />

P24.3. Figure 24.21 shows autocorrelation functions for<br />

GUVs composed <strong>of</strong> DLPC or DLPC/DPFC (0.2/<br />

0.8). Assume the laser beam diameter is 1 µm.<br />

Using the same diffusion coefficient, calculate the<br />

time it takes a Dil-C20 molecule to diffuse 10 µm.<br />

Suppose the beam diameter is increased to 2 µm.<br />

How long does it take the molecule to diffuse 10<br />

µm?<br />

P24.4. Figure 24.32 shows a correlation function for the<br />

opening and closing <strong>of</strong> a molecular beacon. Assume<br />

you have access to a steady-state fluorometer with<br />

control <strong>of</strong> the sample temperature. Suggest a way to<br />

separately determine the values <strong>of</strong> k1 and k2 .<br />

P24.5. Figure 24.33 shows a typical configuration for FCS<br />

using TIR. Suppose you wanted to measure diffusion<br />

coefficients near the interface, and the illuminated<br />

spot had a diameter <strong>of</strong> 5.0 µm. Calculate the<br />

volume <strong>of</strong> the observed solution assuming d = 100<br />

nm. What concentration <strong>of</strong> fluorophore is needed to<br />

obtain approximately 10 fluorophores in the volume?<br />

Assume the volume contains a single phospholipid<br />

bilayer that contains all the probe molecules. What<br />

fraction <strong>of</strong> the lipids need to be labeled to obtain 10<br />

fluorophores in the volume? The area occupied by a<br />

single phospholipid molecule is about 70 Å2 .<br />

P24.6. Figure 24.50 shows autocorrelation curves for tubulin<br />

with cryptophycin as the sample was diluted.<br />

Explain how these data can be used to determine if<br />

the complex dissociates upon dilution. Assume all<br />

the tubulin substrates contain the TMR label.<br />

Figure 24.50. Effect <strong>of</strong> increasing concentrations <strong>of</strong> cryptophycin on<br />

labeled tubulin dimers. Revised and reprinted with permission from<br />

[38]. Copyright © 2003, American Chemical Society.

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