Reversible Stochastically Gated Diffusion-Influenced Reactions.

The journal of physical chemistry. B

PubMedID: 26956646

Gopich IV, Szabo A. Reversible Stochastically Gated Diffusion-Influenced Reactions. J Phys Chem B. 2016;.
An approximate but accurate theory is developed for the kinetics of reversible binding of a ligand to a macromolecule when either can stochastically fluctuate between reactive and unreactive conformations. The theory is based on a set of reaction-diffusion equations for the deviations of the pair distributions from their bulk values. The concentrations are shown to satisfy non-Markovian rate equations with memory kernels that are obtained by solving an irreversible geminate (i. e. , two-particle) problem. The relaxation to equilibrium is not exponential but rather a power law. In the Markovian limit, the theory reduces to a set of ordinary rate equations with renormalized rate constants.