Macroscopic Limits of Pathway-Based Kinetic Models for E. coli Chemotaxis in Large Gradient Environments

DOI10.1137/16M1074011zbMath1367.35191arXiv1605.01484OpenAlexW2963141545MaRDI QIDQ5737770

Min Tang, Weiran Sun

Publication date: 30 May 2017

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.01484

zbMATH Keywords

chemotaxisasymptotic analysisbiochemical pathwayrun and tumblekinetic-transport equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Cell movement (chemotaxis, etc.) (92C17)

Related Items (5)

Pattern Formation of a Pathway-Based Diffusion Model: Linear Stability Analysis and an Asymptotic Preserving Method ⋮ Multiple asymptotics of kinetic equations with internal states ⋮ Individual based models exhibiting Lévy-flight type movement induced by intracellular noise ⋮ Numerical Scheme for Kinetic Transport Equation with Internal State ⋮ The fractional diffusion limit of a kinetic model with biochemical pathway

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