A continuous-time stochastic model of cell motion in the presence of a chemoattractant

DOI10.3934/dcdsb.2020129zbMath1461.92014OpenAlexW3019859085MaRDI QIDQ2026588

Christopher P. Grant, Lynnae C. Despain, John C. Dallon, Emily. J. Evans

Publication date: 20 May 2021

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2020129

zbMATH Keywords

stochastic processeschemotaxisMarkov processrandom switchingcell motionpure jump-type process

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Cell movement (chemotaxis, etc.) (92C17)

Cites Work

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• A continuous-time model of centrally coordinated motion with random switching
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• A user's guide to PDE models for chemotaxis
• Global classical solvability and generic infinite-time blow-up in quasilinear Keller-Segel systems with bounded sensitivities
• Bacterial chemotaxis without gradient-sensing
• Random walk with persistence and external bias
• Markov Chains and Stochastic Stability

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