A non-local kinetic model for cell migration: a study of the interplay between contact guidance and steric hindrance

Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Cell movement (chemotaxis, etc.) (92C17) Boltzmann equations (35Q20)

Cites Work

Unnamed Item
Unnamed Item
Fluid dynamic description of flocking via the Povzner-Boltzmann equation
Models of dispersal in biological systems
Derivation of hyperbolic models for chemosensitive movement
\(M^5\) mesoscopic and macroscopic models for mesenchymal motion
Modeling the motion of a cell population in the extracellular matrix
A stochastic system of particles modelling the Euler equations
Kinetic models for chemotaxis and their drift-diffusion limits
A cellular Potts model simulating cell migration on and in matrix environments
A generalized transport model for biased cell migration in an anisotropic environment
Boltzmann-type equations for multi-agent systems with label switching
Multi-cue kinetic model with non-local sensing for cell migration on a fiber network with chemotaxis
Modelling physical limits of migration by a kinetic model with non-local sensing
Stability of a non-local kinetic model for cell migration with density dependent orientation bias
Kinetic models with non-local sensing determining cell polarization and speed according to independent cues
Modelling cell migration strategies in the extracellular matrix
Confinement by biased velocity jumps: aggregation of \textit{Escherichia coli}
Modeling cell movement in anisotropic and heterogeneous network tissues
The diffusion limit of transport equations. II: Chemotaxis equations
Numerical Simulations of Kinetic Models for Chemotaxis
The Diffusion Limit of Transport Equations Derived from Velocity-Jump Processes
Some stochastic processes which arise from a model of the motion of a bacterium
Direction-dependent turning leads to anisotropic diffusion and persistence
Macroscopic limits of non-local kinetic descriptions of vehicular traffic