A diffusion approximation based on renewal processes with applications to strongly biased run-tumble motion

DOI10.1007/s11538-016-0155-3zbMath1343.92077OpenAlexW2305962195WikidataQ50683973 ScholiaQ50683973MaRDI QIDQ300643

Uffe Høgsbro Thygesen

Publication date: 28 June 2016

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11538-016-0155-3

zbMATH Keywords

diffusion approximationchemotaxisrenewal processmovement modelsrun-tumble strategy

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Cell movement (chemotaxis, etc.) (92C17)

Cites Work

• Unnamed Item
• Unnamed Item
• Models of dispersal in biological systems
• Model for chemotaxis
• Modelling run-and-tumble chemotaxis in a shear flow
• Persistence of direction increases the drift velocity of run and tumble chemotaxis
• Biased random walk models for chemotaxis and related diffusion approximations
• Advection-diffusion equations for generalized tactic searching behaviors
• Diffusion and ecological problems: Modern perspectives.
• A model for bacterial colonization of sinking aggregates
• Macroscopic equations for bacterial chemotaxis: integration of detailed biochemistry of cell signaling
• The Diffusion Limit of Transport Equations II: Chemotaxis Equations
• Random walk with persistence and external bias
• Stochastic dynamics of active swimmers in linear flows
• Higher Order Moments and Conditional Asymptotics of the Batch Markovian Arrival Process
• An extension of generalized Taylor dispersion in unbounded homogeneous shear flows to run-and-tumble chemotactic bacteria
• On the foundations of generalized Taylor dispersion theory
• Advection-Diffusion Equations for Internal State-Mediated Random Walks
• Stochastic differential equations. An introduction with applications.

This page was built for publication: A diffusion approximation based on renewal processes with applications to strongly biased run-tumble motion