Dynamics of the Orientational Factor in Fluorescence Resonance Energy Transfer.
A one-dimensional diffusion equation is derived for the time evolution of the orientational factor, κ2, in the Förster energy transfer rate. The κ2-dependent diffusion coefficient is obtained in three different ways: (1) by requiring the κ2autocorrelation function, calculated using the κ2diffusion equation, to be single-exponential with the exact characteristic time; (2) by projecting the multidimensional diffusion equation for the transition dipoles onto κ2using the local equilibrium approximation; and (3) by requiring exact and approximate κ2trajectories to be as close as possible using a Bayesian approach. Within the framework of this simple theory, the distance dependence of the fluorescence resonance energy transfer (FRET) efficiency can be calculated for all values of the ratio of the rotational correlation time of the transition dipoles to the lifetime of the donor excited state. The theoretical predictions are compared to the exact values obtained from Brownian dynamics simulations of the reorientation of the donor and acceptor transition dipoles.
Department of Theoretical Biophysics, Max Planck Institute of Biophysics , Max-von-Laue-Strasse 3, 60438 Frankfurt am Main, Germany.
Gerhard
G
Hummer
Laboratory of Chemical Physics, National Institute of Diabetes and Digestive and Kidney Diseases, National Institutes of Health , Bethesda, Maryland 20892-0520, United States.
Attila
A
Szabo
D004058:Diffusion; D031541:Fluorescence Resonance Energy Transfer; D056004:Molecular Dynamics Simulation
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