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A Closed-Form Analytic Expression for FRAP Formula for the Binding Diffusion Model

Minchul Kang ^* and Anne K. Kenworthy ^* 

^* Department of Molecular Physiology and Biophysics and Department of Cell and Developmental Biology, Vanderbilt School of Medicine, Nashville, Tennessee

Correspondence: Address reprint requests and inquiries to Minchul Kang, Tel.: 1-615-322-6617; E-mail: minchul.kang{at}vanderbilt.edu.

One of the most dominant methods cells use for a large class of cellular processes is reaction (or binding) diffusion kinetics, which are controlled by kinetic constants such as diffusion coefficients and on/off binding rate constants. Fluorescence recovery after photobleaching (FRAP) can be used to determine these kinetic constants in living cells. While an analytic expression for FRAP formulae for pure diffusion has been available for some time, an analytic FRAP formula for the binding diffusion model has not been reported yet. Here, we present an analytic FRAP formula for the binding diffusion model in an explicit form allowing for diffusion of the bound complex for either a uniform circle laser profile or a Gaussian laser profile.