Stochastically gated diffusion-limited reactions for a small target in a bounded domain
File(s)
Published version
Author(s)
Bressloff, Paul C
Lawley, Sean D
Type
Journal Article
Abstract
We calculate the reaction rate for stochastically gated ligands diffusing in a two-dimensional and a three-dimensional bounded domain with a single small target. Each ligand independently switches between an open and a closed state according to a two-state Markov process; a reaction between ligand and target can only occur when the former is an open state. In the large-time limit the reaction-rate is an exponentially decaying function of time, whose rate of decay is given by the principal eigenvalue of the Laplacian. We calculate the principal eigenvalue using matched asymptotics and determine the leading-order reduction in the reaction rate due to stochastic gating. We also develop a probabilistic interpretation of the reaction rate in terms of the first-passage time density to the target.
Date Issued
2015-12
Date Acceptance
2015-12-01
Citation
Physical Review E, 2015, 92 (6)
ISSN
1539-3755
Publisher
American Physical Society (APS)
Journal / Book Title
Physical Review E
Volume
92
Issue
6
Copyright Statement
©2015 American Physical Society
Identifier
http://dx.doi.org/10.1103/physreve.92.062117
Publication Status
Published
Article Number
062117
Date Publish Online
2015-12-09