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Principles of Fluorescence Spectroscopy

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298 QUENCHING OF FLUORESCENCE<br />

σ are found by least-squares or other filtering procedures.<br />

Depth-dependent quenching was used for the analysis<br />

shown in Figure 8.31.<br />

8.10.5. Boundary Lipid Quenching<br />

Advanced Topic<br />

Quenching in membranes can also be used to study boundary<br />

lipids, which are the lipid molecules surrounding a fluorophore<br />

or a membrane-bound protein. 80–86 Suppose a protein<br />

is surrounded by a discrete number <strong>of</strong> lipid molecules,<br />

and that the tryptophan fluorescence is accessible to<br />

quenchers in the membrane phase. Then the number <strong>of</strong><br />

boundary lipid molecules can be estimated from<br />

F Fmin (1 Q)<br />

F0 Fmin n<br />

(8.35)<br />

where F 0 is the intensity in the absence <strong>of</strong> quencher and<br />

F min is the intensity when the probe is in pure quencher<br />

lipid. F is the intensity at a given mole fraction <strong>of</strong> quencher<br />

lipid.<br />

This model was tested using small probes in membranes,<br />

and for Ca 2+ -ATPase, which is a large membranebound<br />

protein containing 11 to 13 tryptophan residues. For<br />

tryptophan octyl ester, the intensity decreased according to<br />

n = 6, indicating that each tryptophan was surrounded by 6<br />

lipid molecules (Figure 8.32). For the Ca 2+ -ATPase, the<br />

intensity decreased with n = 2. This does not indicate that<br />

only two lipid molecules surrounded this protein, but that<br />

only two lipid molecules are in contact with tryptophan<br />

residues in the Ca 2+ -ATPase. Similar results <strong>of</strong> two boundary<br />

quenchers were found for the Ca 2+ -ATPase using 1,2bis(9,10-dibromooleoyl)phosphatidylcholine.<br />

82<br />

8.10.6. Effect <strong>of</strong> Lipid–Water Partitioning on<br />

Quenching<br />

In the preceding examples <strong>of</strong> quenching in membranes the<br />

quenchers were not soluble in water. Hence, the quencher<br />

concentrations in the membrane were known from the<br />

amount <strong>of</strong> added quencher. However, there are many<br />

instances where the quencher partitions into the membranes,<br />

but some fraction <strong>of</strong> the quencher remains in the<br />

aqueous phase. Consequently, the quencher concentration<br />

in the membrane is not simply determined by the amount <strong>of</strong><br />

Figure 8.32. Quenching <strong>of</strong> tryptophan octyl ester (") and the<br />

Ca 2+ -ATPase (!) by a spin labeled (7,6)PC in egg PC vesicles.<br />

(7,6)-PC in a phosphatidylcholine in which the spin label is<br />

located on the 8th carbon atom chain <strong>of</strong> the 2-position fatty acyl<br />

group. The structure <strong>of</strong> the nitroxide spin label is shown in Figure<br />

8.27. The solid lines are for the indicated values <strong>of</strong> n (eq. 8.35).<br />

The dashed lines show the theoretical curves for n = 10 or 2 in<br />

(eq. 8.35). Revised and reprinted with permission from [80].<br />

Copyright © 1981, American Chemical Society.<br />

quencher added, but also by the total lipid concentration in<br />

the sample. In these cases it is necessary to determine the<br />

lipid–water partition coefficient in order to interpret the<br />

observed quenching.<br />

Consider a quencher that distributes between the membrane<br />

and aqueous phases. At non-saturating concentrations<br />

<strong>of</strong> quencher the concentrations in the water (w) and membrane<br />

(m) phases are related by the partition coefficient<br />

P Q m / Q w<br />

(8.36)<br />

The total (T) concentration <strong>of</strong> quencher added ([Q] T ) partitions<br />

between the water and membrane phases according to<br />

Q TV T Q mV m Q wV w<br />

(8.37)<br />

where V m and V w represent the volume <strong>of</strong> the membrane<br />

and water phases, respectively. By defining<br />

α m V m/V T<br />

(8.38)

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