Diffusion escape through a cluster of small absorbing windows

DOI10.1088/1751-8113/41/15/155001zbMath1138.35379OpenAlexW2065639102WikidataQ58052155 ScholiaQ58052155MaRDI QIDQ5460445

David Holcman, Zeev Schuss

Publication date: 28 April 2008

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/57a9a2ad169ea05ffa4f54daae86496d79d6e554

zbMATH Keywords

Brownian motionasymptotic approximationLaplace equationfirst eigenvalueclustersNeumann-Dirichlet condition

Mathematics Subject Classification ID

Brownian motion (60J65) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (18)

Extended narrow escape with many windows for analyzing viral entry into the cell nucleus ⋮ Stochastic modeling of gene activation and applications to cell regulation ⋮ Multiscale models and stochastic simulation methods for computing rare but key binding events in cell biology ⋮ Mean escape time for randomly switching narrow gates in a steady flow ⋮ Asymptotic formulas for extreme statistics of escape times in 1, 2 and 3-dimensions ⋮ Asymptotic analysis of the narrow escape problem in dendritic spine shaped domain: three dimensions ⋮ Some questions related to modeling in cellular biology ⋮ Asymptotic analysis of the narrow escape problem in general shaped domain with several absorbing necks ⋮ Analytical and numerical results for first escape time in 2D ⋮ Diffusion laws in dendritic spines ⋮ Mixed analytical-stochastic simulation method for the recovery of a Brownian gradient source from probability fluxes to small windows ⋮ Optimizing the principal eigenvalue of the Laplacian in a sphere with interior traps ⋮ Layer potential techniques for the narrow escape problem ⋮ From first-passage times of random walks in confinement to geometry-controlled kinetics ⋮ Analytical solutions for an escape problem in a disc with an arbitrary distribution of exit holes along its boundary ⋮ Analytical and numerical results for an escape problem ⋮ The search for a DNA target in the nucleus ⋮ Lifshitz tails for quantum waveguides with random boundary conditions

This page was built for publication: Diffusion escape through a cluster of small absorbing windows