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Biophysical studies of membrane proteins/peptides. Interaction with ...

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BINDING OF A QUINOLONE ANTIBIOTIC TO BACTERIAL<br />

PORIN OmpF<br />

Theoretical Modelling<br />

CP quenches OmpF fluorescence through a Förster resonance energy transfer (FRET)<br />

mechanism. FRET efficiencies (E) are calculated from the extent <strong>of</strong> fluorescence<br />

emission quenching <strong>of</strong> the donor induced by the presence <strong>of</strong> acceptors,<br />

IDA<br />

E = 1− = 1−<br />

I<br />

D<br />

∞<br />

∫<br />

DA<br />

0<br />

∞<br />

0<br />

i<br />

∫<br />

i<br />

D<br />

() t dt<br />

() t dt<br />

where I DA and I D are the steady-state fluorescence intensities <strong>of</strong> the donor in the<br />

presence and absence <strong>of</strong> acceptors respectively. i DA (t) and i D (t) are the donor<br />

fluorescence decays in the presence and absence <strong>of</strong> acceptors respectively. Although<br />

there is a contribution <strong>of</strong> static quenching to FRET in OmpF-CP complexes, Eq.(1) still<br />

holds since this is taken into account as described below (Eqs. 8-12).<br />

As seen in Fig.3, CP absorbance overlaps <strong>with</strong> the OmpF’s fluorescence emission<br />

spectrum (from both tryptophans 214 and 61), and the overlap integral (J) is calculated<br />

as:<br />

(1)<br />

∫<br />

( )<br />

4<br />

J = f λ ⋅ε(λ) ⋅λ ⋅dλ<br />

(2)<br />

where f(λ) is the normalized emission spectrum <strong>of</strong> the donor and ε(λ) is the absorption<br />

spectrum <strong>of</strong> the acceptor.<br />

The Förster radius (R 0 ) is given by:<br />

R<br />

2 −4<br />

1/ 6<br />

0<br />

= 0.2108<br />

⋅ ( J ⋅ κ ⋅ n ⋅ φ<br />

D<br />

)<br />

(3)<br />

where the orientational factor is assumed in the dynamic isotropic regime (κ 2 = 2/3), the<br />

refractive index <strong>of</strong> the medium is n = 1.44, and φ D is the donor quantum yield. The<br />

numeric factor in Eq.(3) assumes nm units for the wavelength λ and Å units for R 0 .<br />

The Förster radius (R 0 ) <strong>of</strong> the Tryptophan(OmpF)-Cipr<strong>of</strong>laxacin donor-acceptor pair<br />

was determined to be 23.3 Å. This is an average value since each <strong>of</strong> the tryptophans has<br />

distinct fluorescence properties and therefore is expected to present different (but, in<br />

115

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