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Principles of Fluorescence Spectroscopy

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PRINCIPLES OF FLUORESCENCE SPECTROSCOPY 817<br />

Figure 24.25. Normalized autocorrelation function for EGFP at various<br />

pH values. Revised from [86].<br />

which is assigned to pH-dependent protonation <strong>of</strong> the tyrosine<br />

residue. The rate <strong>of</strong> protonation increases at lower pH<br />

values, resulting in the increased amplitude at short times.<br />

The proton may come from the bulk solution or from the<br />

protein itself.<br />

24.8. FLUORESCENCE INTENSITY<br />

DISTRIBUTION ANALYSIS<br />

In the preceding sections we considered processes that<br />

result in intensity and/or concentration fluctuations in the<br />

observed volume. The relative contributions <strong>of</strong> different<br />

brightness fluorophores to the correlation function was<br />

given in eq. 24.19, but we did not describe any approach to<br />

resolve the different fluorophores from each other. The<br />

presence <strong>of</strong> different brightness fluorophores changes the<br />

apparent number <strong>of</strong> observed molecules (eq. 24.20), but the<br />

information about their individual brightness values is lost<br />

during collection <strong>of</strong> G(τ), as can be seen by examining eq.<br />

24.10. The amplitude <strong>of</strong> the correlation function is due to<br />

the same fluorophore emitting more than a single photon<br />

during the binning time. During a particular time interval<br />

the signal from the same dim fluorophores correlate with<br />

each other, as will the signal from the bright fluorophores.<br />

When the diffusion coefficients are the same the brightness<br />

<strong>of</strong> each fluorophore cannot be resolved and the correlation<br />

function will have the usual shape for a single diffusion<br />

species.<br />

Figure 24.26. Comparison <strong>of</strong> correlation function and photon-count<br />

histogram for a mixture <strong>of</strong> dim and bright particles.<br />

Suppose the sample contains two types <strong>of</strong> molecules<br />

with the same diffusion coefficient (Figure 24.26). This<br />

could be the same protein labeled with one or several fluorophores.<br />

If G(τ) were measured for this mixture one would<br />

see the usual correlation function for a single diffusion<br />

coefficient (lower left). Suppose now that the entire time<br />

course <strong>of</strong> intensities was available instead <strong>of</strong> the correlation<br />

functions. There would be lower and higher intensity fluctuations<br />

due to the dimmer and brighter particles, respectively.<br />

One can count the number <strong>of</strong> times a fluctuation has<br />

a dim or bright amplitude, and create a histogram <strong>of</strong> the<br />

results (lower right). For the mixture there will be two populations<br />

<strong>of</strong> fluorophores, which will be seen from the intensity<br />

distributions. If the particles display very different<br />

brightness it is possible to count the number <strong>of</strong> times dim<br />

and bright particles pass through the observed volume. One<br />

example is shown in Figure 24.27 for coumarin-labeled<br />

Figure 24.27. Photon-count histogram for a mixture <strong>of</strong> 0.05 and 0.115<br />

µm coumarin-labeled beads. Revised from [87].

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