Conditional Mean First Passage Times to Small Traps in a 3-D Domain with a Sticky Boundary: Applications to T Cell Searching Behavior in Lymph Nodes

DOI10.1137/140978314zbMath1339.92009OpenAlexW1860963472MaRDI QIDQ3459654

M. I. Delgado, Michael J. Ward, Daniel Coombs

Publication date: 11 January 2016

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/d7dde59bd7567c1f39ae033e7360b5c2a3b91c7c

zbMATH Keywords

matched asymptotic expansionssplitting probabilitysticky boundaryconditional MFPTsmall traps

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Cell biology (92C37) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Cell movement (chemotaxis, etc.) (92C17) Green's functions for elliptic equations (35J08)

Related Items (18)

A probabilistic approach to extreme statistics of Brownian escape times in dimensions 1, 2, and 3 ⋮ Distribution of extreme first passage times of diffusion ⋮ The Narrow Capture Problem with Partially Absorbing Targets and Stochastic Resetting ⋮ Geometrical effects on nonlinear electrodiffusion in cell physiology ⋮ Accumulation Time of Diffusion in a 3D Singularly Perturbed Domain ⋮ A numerical method for solving snapping out Brownian motion in 2D bounded domains ⋮ The 3D Narrow Capture Problem for Traps with Semipermeable Interfaces ⋮ Narrow escape in composite domains forming heterogeneous networks ⋮ Asymptotic analysis of the narrow escape problem in dendritic spine shaped domain: three dimensions ⋮ Asymptotic analysis of the narrow escape problem in general shaped domain with several absorbing necks ⋮ Mixed analytical-stochastic simulation method for the recovery of a Brownian gradient source from probability fluxes to small windows ⋮ Target competition for resources under multiple search-and-capture events with stochastic resetting ⋮ First Passage Statistics for the Capture of a Brownian Particle by a Structured Spherical Target with Multiple Surface Traps ⋮ Steady-state voltage distribution in three-dimensional cusp-shaped funnels modeled by PNP ⋮ Mean first passage time for diffuse and rest search in a confined spherical domain ⋮ Asymptotic Analysis of Target Fluxes in the Three-Dimensional Narrow Capture Problem ⋮ Diffusion in a Disk with a Circular Inclusion ⋮ Extreme hitting probabilities for diffusion*

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