A kinetic chemotaxis model with internal states and temporal sensing
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Publication:2122776
DOI10.3934/krm.2021043zbMath1486.35407arXiv2111.09135OpenAlexW3214022773MaRDI QIDQ2122776
Publication date: 7 April 2022
Published in: Kinetic and Related Models (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.09135
hydrodynamic limitglobal solutionshyperbolic limitinternal stateskinetic chemotaxis modeltemporal gradient
Integro-partial differential equations (45K05) Cell movement (chemotaxis, etc.) (92C17) Integro-partial differential equations (35R09) Transport equations (35Q49)
Cites Work
- Global solution for a kinetic chemotaxis model with internal dynamics and its fast adaptation limit
- Numerical simulation of a kinetic model for chemotaxis
- Drift-diffusion limits of kinetic models for chemotaxis: a generalization
- Mathematical analysis of a kinetic model for cell movement in network tissues
- Derivation of the bacterial run-and-tumble kinetic equation from a model with biochemical pathway
- Models of dispersal in biological systems
- Initiation of slime mold aggregation viewed as an instability
- Global existence results for complex hyperbolic models of bacterial chemotaxis
- \(M^5\) mesoscopic and macroscopic models for mesenchymal motion
- Existence and diffusive limit of a two-species kinetic model of chemotaxis
- Taxis equations for amoeboid cells
- Biased random walk models for chemotaxis and related diffusion approximations
- Kinetic models for chemotaxis and their drift-diffusion limits
- Chemotaxis: from kinetic equations to aggregate dynamics
- The flux limited Keller-Segel system; properties and derivation from kinetic equations
- Kinetic models for chemotaxis: Hydrodynamic limits and spatio-temporal mechanisms
- The Diffusion Limit of Transport Equations II: Chemotaxis Equations
- Random walk with persistence and external bias
- Runaway Phenomena and Fluid Approximation Under High Fields in Semiconductor Kinetic Theory
- From Individual to Collective Behavior in Bacterial Chemotaxis
- From Signal Transduction to Spatial Pattern Formation inE. coli: A Paradigm for Multiscale Modeling in Biology
- Some stochastic processes which arise from a model of the motion of a bacterium
- Multiscale Models of Taxis-Driven Patterning in Bacterial Populations
- A Pathway-Based Mean-Field Model for E. coli Chemotaxis: Mathematical Derivation and Its Hyperbolic and Parabolic Limits
- Global Solutions of Nonlinear Transport Equations for Chemosensitive Movement
- Global existence of classical solutions for a hyperbolic chemotaxis model and its parabolic limit
