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J Chem Phys. 2012 Aug 7;137(5):054104.

Exact Green's function of the reversible diffusion-influenced reaction for an isolated pair in two dimensions.

Author information

1
Laboratory of Systems Biology, National Institute of Allergy and Infectious Diseases, National Institutes of Health, Bethesda, Maryland 20892, USA. prustelt@niaid.nih.gov

Abstract

We derive an exact Green's function of the diffusion equation for a pair of disk-shaped interacting particles in two dimensions subject to a backreaction boundary condition. Furthermore, we use the obtained function to calculate exact expressions for the survival probability and the time-dependent rate coefficient for the initially unbound pair and the survival probability of the bound state. The derived expressions will be of particular utility for the description of reversible membrane-bound reactions in cell biology.

PMID:
22894329
PMCID:
PMC3422329
DOI:
10.1063/1.4737662
[Indexed for MEDLINE]
Free PMC Article

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