From Brownian Dynamics to Markov Chain: An Ion Channel Example

DOI10.1137/120882780zbMath1308.92026arXiv1206.6562OpenAlexW2012522082MaRDI QIDQ5418061

Wan Chen, Radek Erban, S. Jonathan Chapman

Publication date: 26 May 2014

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

Full work available at URL: https://arxiv.org/abs/1206.6562

zbMATH Keywords

transition ratesoptimal fluxcontinuous-time Markov processes on discrete state spaceshierarchical Fokker-Planck equationsion hopping

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Related Items (3)

Chemical diffusion master equation: Formulations of reaction–diffusion processes on the molecular level ⋮ Analysis of the chemical diffusion master equation for creation and mutual annihilation reactions ⋮ Asymptotic models for transport in large aspect ratio nanopores

This page was built for publication: From Brownian Dynamics to Markov Chain: An Ion Channel Example