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Principles of Fluorescence Spectroscopy

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294 QUENCHING OF FLUORESCENCE<br />

Figure 8.22. Oxygen quenching <strong>of</strong> 2-methylanthracene (2-MA) at<br />

30.6°C, in DMPC (T c = 24°C) and DPPC (T c = 37°C) bilayers.<br />

<strong>of</strong> cholesterol where the amount <strong>of</strong> quenching decreases<br />

(Figure 8.23, !).<br />

In order to calculate the bimolecular quenching constants<br />

it is necessary to know the oxygen concentration in<br />

the membranes. Unfortunately, precise values are not<br />

known, particularly for membranes with different lipid<br />

compositions. The oxygen solubility in membranes is usually<br />

taken as equal to that in nonpolar solvents, and thus<br />

Figure 8.23. Oxygen quenching <strong>of</strong> pyrene dodecanoic acid in erythrocyte<br />

ghost membranes with various cholesterol/protein ratios: ", control,<br />

no added cholesterol; Chol/Protein ratios: O, 0.19; , 0.35; ,<br />

0.65; △, 0.71; !, 0.83. Revised from [59].<br />

approximately fourfold larger than in water. Assuming a<br />

lifetime <strong>of</strong> PDA near 120 ns, one can use the data in Figure<br />

8.23 to calculate k q = 0.22 x 10 10 M –1 s –1 . The permeability<br />

(P) <strong>of</strong> a membrane can be approximated by P = k q D/∆x,<br />

where D is the oxygen diffusion coefficient and ∆x is the<br />

membrane thickness. Given that the diffusion coefficient <strong>of</strong><br />

oxygen is about 1/5 <strong>of</strong> that in water, and the lipid–water<br />

partition coefficient is near 5, this equation suggests that<br />

biological membranes do not pose a significant diffusive<br />

barrier to oxygen.<br />

8.10.2. Localization <strong>of</strong> Membrane-Bound<br />

Tryptophan Residues by Quenching<br />

Collisional quenching is a short-range interaction, so that<br />

the extent <strong>of</strong> quenching can be used to indicate the amount<br />

<strong>of</strong> molecular contact between the fluorophore and<br />

quencher. This concept has been used to study the location<br />

<strong>of</strong> tryptophan residues in membrane-spanning peptides. 61 A<br />

series <strong>of</strong> peptides were synthesized that contained a single<br />

tryptophan residue. These peptides were roughly <strong>of</strong> the<br />

form K q L k WL m K m , where K is a charged amino acid lysine,<br />

L is a nonpolar amino acid leucine, and W is tryptophan.<br />

The number <strong>of</strong> nonpolar residues on each side <strong>of</strong> the tryptophan<br />

was varied to position the trp at various distances<br />

from the center <strong>of</strong> the DOPC bilayers. Figure 8.24 shows<br />

acrylamide quenching <strong>of</strong> the peptides when bound to<br />

DOPC vesicles. The extent <strong>of</strong> quenching depends strongly<br />

Figure 8.24. Acrylamide quenching <strong>of</strong> tryptophan residues in a membrane-spanning<br />

peptide. Revised and reprinted with permission from<br />

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

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