Modelling physical limits of migration by a kinetic model with non-local sensing
From MaRDI portal
Publication:2182294
DOI10.1007/s00285-020-01479-wzbMath1434.92014arXiv1908.08325OpenAlexW3009181444WikidataQ90019356 ScholiaQ90019356MaRDI QIDQ2182294
Publication date: 23 May 2020
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.08325
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17)
Related Items
Mathematical modelling of collagen fibres rearrangement during the tendon healing process ⋮ Motility switching and front-back synchronisation in polarised cells ⋮ Multiscale Modeling of Glioma Invasion: From Receptor Binding to Flux-Limited Macroscopic PDEs ⋮ Modelling non-local cell-cell adhesion: a multiscale approach ⋮ Stability of a non-local kinetic model for cell migration with density dependent orientation bias ⋮ Multi-cue kinetic model with non-local sensing for cell migration on a fiber network with chemotaxis
Cites Work
- Unnamed Item
- Hyperbolic and kinetic models for self-organized biological aggregations and movement: a brief review
- Coherent modelling switch between pointwise and distributed representations of cell aggregates
- Aggregated steady states of a kinetic model for chemotaxis
- Models of dispersal in biological systems
- \(M^5\) mesoscopic and macroscopic models for mesenchymal motion
- Differentiated cell behavior: a multiscale approach using measure theory
- Non-local kinetic and macroscopic models for self-organised animal aggregations
- A nonlocal model for contact attraction and repulsion in heterogeneous cell populations
- Equilibrium solution to the inelastic Boltzmann equation driven by a particle bath
- Modeling the motion of a cell population in the extracellular matrix
- Biased random walk models for chemotaxis and related diffusion approximations
- A space-jump derivation for non-local models of cell-cell adhesion and non-local chemotaxis
- The impact of adhesion on cellular invasion processes in cancer and development
- Derivation of a bacterial nutrient-taxis system with doubly degenerate cross-diffusion as the parabolic limit of a velocity-jump process
- Global existence of solutions for a model Boltzmann equation
- A cellular Potts model simulating cell migration on and in matrix environments
- Existence and approximation of probability measure solutions to models of collective behaviors
- Non-local parabolic and hyperbolic models for cell polarisation in heterogeneous cancer cell populations
- Modelling the movement of interacting cell populations
- A continuum approach to modelling cell-cell adhesion
- Kinetic models with non-local sensing determining cell polarization and speed according to independent cues
- Pattern formation in a nonlocal mathematical model for the multiple roles of the TGF-\(\beta\) pathway in tumour dynamics
- Semigroup generation properties of streaming operators with noncontractive boundary conditions
- Global existence for chemotaxis with finite sampling radius
- Modeling cell movement in anisotropic and heterogeneous network tissues
- The Diffusion Limit of Transport Equations II: Chemotaxis Equations
- 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
- On Solutions to the Linear Boltzmann Equation for Granular Gases
