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Principles of Fluorescence Spectroscopy

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814 FLUORESCENCE CORRELATION SPECTROSCOPY<br />

Figure 24.22. FCS studies <strong>of</strong> insulin C-peptide binding to human renal tubular cells using rhodamine-labeled (Rh) C-peptide. The dashed lines show<br />

G(τ) and P(τ) after addition <strong>of</strong> a 1000-fold excess <strong>of</strong> unlabeled C-peptide. Revised from [71].<br />

G(τ) 1<br />

<br />

N ∞<br />

0<br />

P(τ D)<br />

(1 τ/τ D) dτ D<br />

(24.36)<br />

In the absence <strong>of</strong> the receptor the diffusion time is near 0.5<br />

ms (lower left panel). In the presence <strong>of</strong> the receptor there<br />

is a dramatic increase in τ D to 100 ms, with some fraction<br />

<strong>of</strong> the peptide diffusing more rapidly (lower right panel).<br />

There is nearly complete reversal <strong>of</strong> binding upon addition<br />

<strong>of</strong> an excess <strong>of</strong> unlabeled C-peptide, showing the specificity<br />

<strong>of</strong> C-peptide binding (dashed line, lower left).<br />

FCS measurements <strong>of</strong> membranes provides information<br />

that is different from fluorescence measurements in<br />

bulk solution or fluorescence microscopy. It would not be<br />

possible to detect lateral diffusion <strong>of</strong> the insulin receptor<br />

using steady-state measurements because the nanosecond<br />

decay times are short relative to the long times needed for<br />

diffusion. Receptor diffusion would also be undetectable by<br />

fluorescence microscopy because the system is roughly stationary.<br />

The receptors are diffusing but the average distribution<br />

is constant. FCS can detect receptor motion because<br />

diffusion affects the number <strong>of</strong> fluorophores in the observed<br />

volume, even under conditions when the average distribution<br />

<strong>of</strong> receptors is not changing. The results shown in Figure<br />

24.22 also indicate that the rate at which labeled C-peptide<br />

dissociates from its receptor is slow relative to the<br />

longest time, near one second, in the autocorrelation function.<br />

It is instructive to compare FCS and fluorescence<br />

recovery after photobleaching (FRAP) for studies <strong>of</strong> mobil-

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