Multi-cue kinetic model with non-local sensing for cell migration on a fiber network with chemotaxis
From MaRDI portal
Publication:2113602
DOI10.1007/s11538-021-00978-1zbMath1489.35286arXiv2006.09707OpenAlexW4211160018WikidataQ113900091 ScholiaQ113900091MaRDI QIDQ2113602
Publication date: 14 March 2022
Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.09707
Integro-partial differential equations (45K05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Cell movement (chemotaxis, etc.) (92C17)
Uses Software
Cites Work
- Unnamed Item
- Hyperbolic and kinetic models for self-organized biological aggregations and movement: a brief review
- Glioma follow white matter tracts: a multiscale DTI-based model
- Moments of von Mises and Fisher distributions and applications
- Coherent modelling switch between pointwise and distributed representations of cell aggregates
- Models of dispersal in biological systems
- Derivation of hyperbolic models for chemosensitive movement
- Initiation of slime mold aggregation viewed as an instability
- \(M^5\) mesoscopic and macroscopic models for mesenchymal motion
- Differentiated cell behavior: a multiscale approach using measure theory
- A multiscale model for glioma spread including cell-tissue interactions and proliferation
- Some inequalities for modified Bessel functions
- A user's guide to PDE models for chemotaxis
- Modeling the motion of a cell population in the extracellular matrix
- The Boltzmann equation and its applications
- Development and applications of a model for cellular response to multiple chemotactic cues
- A self-consistent cell flux expression for simultaneous chemotaxis and contact guidance in tissues
- Derivation of a bacterial nutrient-taxis system with doubly degenerate cross-diffusion as the parabolic limit of a velocity-jump process
- 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
- Modeling multiple taxis: tumor invasion with phenotypic heterogeneity, haptotaxis, and unilateral interspecies repellence
- Modelling physical limits of migration by a kinetic model with non-local sensing
- A hybrid model of collective motion of discrete particles under alignment and continuum chemotaxis
- Glioma invasion and its interplay with nervous tissue and therapy: a multiscale model
- Kinetic models with non-local sensing determining cell polarization and speed according to independent cues
- Modelling collective cell migration: neural crest as a model paradigm
- Mathematical models for chemotaxis and their applications in self-organisation phenomena
- Modelling cell migration strategies in the extracellular matrix
- Modeling cell movement in anisotropic and heterogeneous network tissues
- The Diffusion Limit of Transport Equations II: Chemotaxis Equations
- Transport and Anisotropic Diffusion Models for Movement in Oriented Habitats
- Numerical Simulations of Kinetic Models for Chemotaxis
- Aggregation, Blowup, and Collapse: The ABC's of Taxis in Reinforced Random Walks
- 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
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- On a structured multiscale model for acid-mediated tumor invasion: The effects of adhesion and proliferation
- MULTICELLULAR BIOLOGICAL GROWING SYSTEMS: HYPERBOLIC LIMITS TOWARDS MACROSCOPIC DESCRIPTION
This page was built for publication: Multi-cue kinetic model with non-local sensing for cell migration on a fiber network with chemotaxis