title: Reversible Stochastically Gated Diffusion-Influenced Reactions.
abstract: 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.
authors.affiliation: Laboratory of Chemical Physics, National Institute of Diabetes and Digestive and Kidney Diseases, National Institutes of Health , Bethesda, Maryland 20892, United States.
authors.forename: Irina V
authors.initials: IV
authors.lastname: Gopich
authors.affiliation: Laboratory of Chemical Physics, National Institute of Diabetes and Digestive and Kidney Diseases, National Institutes of Health , Bethesda, Maryland 20892, United States.
authors.forename: Attila
authors.initials: A
authors.lastname: Szabo
mesh_terms: D004058:Diffusion; D007700:Kinetics; D008024:Ligands; D046911:Macromolecular Substances / Q000737:chemistry*; D008956:Models, Chemical; D008968:Molecular Conformation; D013269:Stochastic Processes
chemical_list: D008024:Ligands; D046911:Macromolecular Substances