Matched asymptotic analysis to solve the narrow escape problem in a domain with a long neck

DOI10.1088/1751-8113/47/50/505202zbMath1308.35057OpenAlexW2328491518MaRDI QIDQ2939847

Xiaofei Li

Publication date: 23 January 2015

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

Full work available at URL: https://doi.org/10.1088/1751-8113/47/50/505202

zbMATH Keywords

mixed boundary value problemmean first passage timecalcium diffusiondendritic spineNeumann-Robin boundary model

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Brownian motion (60J65) Asymptotic expansions of solutions to PDEs (35C20) Diffusion processes and stochastic analysis on manifolds (58J65) Numerical solution of boundary value problems involving ordinary differential equations (65L10) General biology and biomathematics (92B05) Tables in numerical analysis (65A05)

Related Items (5)

Mean escape time for randomly switching narrow gates in a steady flow ⋮ 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 ⋮ Stochastic simulation algorithms for solving narrow escape diffusion problems by introducing a drift to the target ⋮ Small perturbations in the type of boundary conditions for an elliptic operator

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