title: Effect of binding on escape from cavity through narrow tunnel.
abstract: When a diffusing particle escapes from a spherical cavity through a narrow, not too long tunnel, the escape kinetics is essentially single-exponential. The presence of reversible binding sites on the cavity wall leads to retention of the particle in the system and converts the single-exponential kinetics into bi-exponential. We develop a theory that describes these effects. The theory shows how the delay time and the average number of binding events depend on the geometric and kinetic parameters of the system. To study the effect of the cavity shape, we also analyze the kinetics when the particle escapes from a cylindrical cavity with reversible binding sites.
authors.affiliation: Mathematical and Statistical Computing Laboratory, Division of Computational Bioscience, Center for Information Technology, National Institutes of Health, Bethesda, Maryland 20892, USA.
authors.forename: Alexander M
authors.initials: AM
authors.lastname: Berezhkovskii
authors.forename: Leonardo
authors.initials: L
authors.lastname: Dagdug
mesh_terms: D001665:Binding Sites; D017871:Calcium-Calmodulin-Dependent Protein Kinases / Q000737:chemistry*; D049229:Dendritic Spines / Q000737:chemistry; D004058:Diffusion; D007700:Kinetics; D008962:Models, Theoretical
chemical_list: D017871:Calcium-Calmodulin-Dependent Protein Kinases