title: Time dependent rate of diffusion-influenced ligand binding to receptors on cell surfaces.
abstract: The theory of the kinetics of binding of ligands to a sphere partially covered by receptors is extended to provide the full time dependence of the reactive flux. The ligands diffuse to the receptors; the receptors are either fully or partially absorbing. The total flux into the sphere with many receptors is expressed analytically in terms of the flux into a single isolated receptor on the sphere. At steady state, the Berg-Purcell formula is generalized to the case where the binding to a single receptor is only partially diffusion controlled. At short times, the receptors behave independently and the total flux is the sum of the fluxes to the isolated receptors.
authors.affiliation: Laboratory of Chemical Physics, National Institute of Diabetes and Digestive and Kidney Diseases, National Institutes of Health, Bethesda, Maryland 20892.
authors.forename: R
authors.initials: R
authors.lastname: Zwanzig
authors.forename: A
authors.initials: A
authors.lastname: Szabo
mesh_terms: D002462:Cell Membrane / Q000378:metabolism*; D007700:Kinetics; D008024:Ligands; D008433:Mathematics; D008954:Models, Biological; D011485:Protein Binding; D011956:Receptors, Cell Surface / Q000378:metabolism*
chemical_list: D008024:Ligands; D011956:Receptors, Cell Surface