Narrow-Escape Time Problem: Time Needed for a Particle to Exit a Confining Domain through a Small Windowb

by: O Bénichou, R Voituriez

(2008)

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Abstract

The time needed for a particle to exit a confining domain through a small window, called the narrow-escape time (NET), is a limiting factor of various processes, such as some biochemical reactions in cells. Obtaining an estimate of the mean NET for a given geometric environment is therefore a requisite step to quantify the reaction rate constant of such processes, which has raised a growing interest in the past few years. In this Letter, we determine explicitly the scaling dependence of the mean NET on both the volume of the confining domain and the starting point to aperture distance. We show that this analytical approach is applicable to a very wide range of stochastic processes, including anomalous diffusion or diffusion in the presence of an external force field, which cover situations of biological relevance.

@article{citeulike:2759260, abstract = {The time needed for a particle to exit a confining domain through a small window, called the narrow-escape time (NET), is a limiting factor of various processes, such as some biochemical reactions in cells. Obtaining an estimate of the mean NET for a given geometric environment is therefore a requisite step to quantify the reaction rate constant of such processes, which has raised a growing interest in the past few years. In this Letter, we determine explicitly the scaling dependence of the mean NET on both the volume of the confining domain and the starting point to aperture distance. We show that this analytical approach is applicable to a very wide range of stochastic processes, including anomalous diffusion or diffusion in the presence of an external force field, which cover situations of biological relevance.}, author = {B\'{e}nichou, O. and Voituriez, R. }, citeulike-article-id = {2759260}, keywords = {2008, diffusion, statistics}, posted-at = {2008-05-05 22:46:01}, priority = {2}, title = {Narrow-Escape Time Problem: Time Needed for a Particle to Exit a Confining Domain through a Small Windowb}, year = {2008} }

RIS record

TY - JOUR ID - citeulike:2759260 TI - Narrow-Escape Time Problem: Time Needed for a Particle to Exit a Confining Domain through a Small Windowb N2 - The time needed for a particle to exit a confining domain through a small window, called the narrow-escape time (NET), is a limiting factor of various processes, such as some biochemical reactions in cells. Obtaining an estimate of the mean NET for a given geometric environment is therefore a requisite step to quantify the reaction rate constant of such processes, which has raised a growing interest in the past few years. In this Letter, we determine explicitly the scaling dependence of the mean NET on both the volume of the confining domain and the starting point to aperture distance. We show that this analytical approach is applicable to a very wide range of stochastic processes, including anomalous diffusion or diffusion in the presence of an external force field, which cover situations of biological relevance. KW - 2008 KW - diffusion KW - statistics AU - Bénichou, O AU - Voituriez, R PY - 2008/// ER -

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