2002
DOI: 10.1063/1.1475756
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Kinetics of escape through a small hole

Abstract: Escape and reentry of a Brownian particle through a hole in a cavityWe study the time dependence of the survival probability of a Brownian particle that escapes from a cavity through a round hole. When the hole is small the escape is controlled by an entropy barrier and the survival probability decays as a single exponential. We argue that the rate constant is given by kϭ4Da/V, where a and V are the hole radius and the cavity volume and D is the diffusion constant of the particle. Brownian dynamics simulations… Show more

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Cited by 164 publications
(155 citation statements)
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“…Within the context of intracellular transport, there has been a growing interest in a particular class of first passage processes, namely, the escape of a freely diffusing molecule from a 2D or 3D bounded domain through small absorbing windows on an otherwise reflecting boundary Grigoriev et al, 2002;Holcman and Schuss, 2004;Schuss et al, 2007). Examples include the FPT for an ion to find an open ion channel situated within the cell membrane or the FPT of a protein receptor to locate a particular target binding site.…”
Section: Narrow Escape Problemsmentioning
confidence: 99%
See 1 more Smart Citation
“…Within the context of intracellular transport, there has been a growing interest in a particular class of first passage processes, namely, the escape of a freely diffusing molecule from a 2D or 3D bounded domain through small absorbing windows on an otherwise reflecting boundary Grigoriev et al, 2002;Holcman and Schuss, 2004;Schuss et al, 2007). Examples include the FPT for an ion to find an open ion channel situated within the cell membrane or the FPT of a protein receptor to locate a particular target binding site.…”
Section: Narrow Escape Problemsmentioning
confidence: 99%
“…One of the characteristics of diffusive transport inside the cell is that often a particle is confined to a domain with small exits on the boundary of the domain. Examples include an ion looking for an open ion channel within the cell membrane (Grigoriev et al, 2002), the transport of newly transcribed mRNA from the nucleus to the cytoplasm via nuclear pores (Gorski et al, 2006;Mistelli, 2008), the confinement of neurotransmitter receptors within a synapse of a neuron (Holcman and Schuss, 2004), and the confinement of calcium and other signaling molecules within sub cellular compartments such as dendritic spines (Biess et al, 2011). This has led to recent interest in using Green's function and asymptotic methods to solve the so-called narrow escape problem Grigoriev et al, 2002;Holcman and Schuss, 2004;Pillay et al, 2010;Schuss et al, 2007;Singer et al, 2006a,b).…”
Section: Introductionmentioning
confidence: 99%
“…2,4,6,19 In this paper, we show that the above properties for driven transport in a coaxial compartmentalized channel cease to apply when the pores are shifted off-axis in different directions, according to either a periodic or a random pattern, as it is often the case in real septate channels. Due to the trapping action exerted by the compartment walls, (i) the mobility curve drops to zero inversely proportional to F, and (ii) Taylor's diverging branch of the diffusivity curve levels off to a horizontal geometry dependent asymptote,…”
mentioning
confidence: 99%
“…This problem arises in the construction of the first eigenfunction and eigenvalue of the Neumann problem in a domain that consists of two domains (e.g., circular disks) connected by a narrow channel [15], [16].…”
Section: Introductionmentioning
confidence: 99%