Numerical Approximation of Diffusive Capture Rates by Planar and Spherical Surfaces with Absorbing Pores

DOI10.1137/17M1124802zbMath1406.35026arXiv1707.04779WikidataQ58933851 ScholiaQ58933851MaRDI QIDQ4602779

Andrew J. Bernoff, Alan E. Lindsay

Publication date: 2 February 2018

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.04779

zbMATH Keywords

boundary homogenization

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Brownian motion (60J65) Asymptotic expansions of solutions to PDEs (35C20) Theoretical approximation in context of PDEs (35A35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Green's functions for elliptic equations (35J08)

Related Items (8)

Survival in a nanoforest of absorbing pillars ⋮ A probabilistic approach to extreme statistics of Brownian escape times in dimensions 1, 2, and 3 ⋮ A fast solver for the narrow capture and narrow escape problems in the sphere ⋮ Asymptotic and Numerical Analysis of a Stochastic PDE Model of Volume Transmission ⋮ First Passage Statistics for the Capture of a Brownian Particle by a Structured Spherical Target with Multiple Surface Traps ⋮ Boundary Homogenization and Capture Time Distributions of Semipermeable Membranes with Periodic Patterns of Reactive Sites ⋮ How Receptor Surface Diffusion and Cell Rotation Increase Association Rates ⋮ Mathematical modeling accurately predicts the dynamics and scaling of nuclear growth in discrete cytoplasmic volumes

Uses Software

• quadgk
• quadva

Cites Work

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