INDIVIDUAL-BASED MODELS FOR BACTERIAL CHEMOTAXIS IN THE DIFFUSION ASYMPTOTICS

DOI10.1142/S0218202513500243zbMath1457.35090arXiv1111.5140MaRDI QIDQ2845073

Giovanni Samaey, Mathias Rousset

Publication date: 22 August 2013

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.5140

zbMATH Keywords

diffusion approximationbacterial chemotaxisvelocity-jump process

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Diffusion processes (60J60) Continuous-time Markov processes on discrete state spaces (60J27) Cell movement (chemotaxis, etc.) (92C17) Stochastic particle methods (65C35)

Related Items (7)

Long time behavior of telegraph processes under convex potentials ⋮ Stiff-response-induced instability for chemotactic bacteria and flux-limited Keller–Segel equation ⋮ Monte Carlo simulation for kinetic chemotaxis model: an application to the traveling population wave ⋮ Symmetries and pattern formation in hyperbolic versus parabolic models of self-organised aggregation ⋮ SIMULATING INDIVIDUAL-BASED MODELS OF BACTERIAL CHEMOTAXIS WITH ASYMPTOTIC VARIANCE REDUCTION ⋮ Some simple but challenging Markov processes ⋮ A mathematical description of bacterial chemotaxis in response to two stimuli

Cites Work

• Unnamed Item
• Models of dispersal in biological systems
• Initiation of slime mold aggregation viewed as an instability
• Biased random walk models for chemotaxis and related diffusion approximations
• Self-similar blow-up for a reaction-diffusion system
• Kinetic models for chemotaxis and their drift-diffusion limits
• The Diffusion Limit of Transport Equations II: Chemotaxis Equations
• Diffusion, attraction and collapse
• From Individual to Collective Behavior in Bacterial Chemotaxis
• From Signal Transduction to Spatial Pattern Formation inE. coli: A Paradigm for Multiscale Modeling in Biology
• Multiscale Models of Taxis-Driven Patterning in Bacterial Populations

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