From microscopic to macroscopic descriptions of cell migration on growing domains

DOI10.1007/S11538-009-9467-XzbMath1190.92006OpenAlexW2128348744WikidataQ51779780 ScholiaQ51779780MaRDI QIDQ977683

Christian A. Yates, Radek Erban, Ruth E. Baker

Publication date: 23 June 2010

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:09316945-d40d-4018-bf53-f502b012014d

zbMATH Keywords

partial differential equationcell migrationreaction-diffusion master equationdomain growthcell sensing

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell biology (92C37)

Related Items (16)

The effect of domain growth on spatial correlations ⋮ Discrete and continuous models for tissue growth and shrinkage ⋮ Travelling waves for a velocity-jump model of cell migration and proliferation ⋮ Comparative analysis of continuum angiogenesis models ⋮ Exact sharp-fronted solutions for nonlinear diffusion on evolving domains ⋮ Modelling cell migration and adhesion during development ⋮ A mathematical model for nutrient-limited uniaxial growth of a compressible tissue ⋮ Cellular automata modeling suggests symmetric stem-cell division, cell death, and cell drift as key mechanisms driving adult spinal cord growth in teleost fish ⋮ Modeling uniaxial nonuniform cell proliferation ⋮ Modelling biological invasions: individual to population scales at interfaces ⋮ Cell density and cell size dynamics during \textit{in vitro} tissue growth experiments: implications for mathematical models of collective cell behaviour ⋮ Modelling collective cell migration: neural crest as a model paradigm ⋮ Derivation of continuum models from discrete models of mechanical forces in cell populations ⋮ Modeling selective local interactions with memory: Motion on a 2D lattice ⋮ Spatial stochastic intracellular kinetics: a review of modelling approaches ⋮ Macroscopic behaviour in a two-species exclusion process via the method of matched asymptotics

Uses Software

• MesoRD

Cites Work

• Unnamed Item
• Pattern formation in reaction-diffusion models with nonuniform domain growth
• Reaction-diffusion models for biological pattern formation
• Models of dispersal in biological systems
• Initiation of slime mold aggregation viewed as an instability
• Model for chemotaxis
• Traveling bands of chemotactic bacteria: a theoretical analysis
• Reaction and diffusion on growing domains: scenarios for robust pattern formation
• Taxis equations for amoeboid cells
• Localization in lattice and continuum models of reinforced random walks
• Mathematical biology. Vol. 1: An introduction.
• Kinetic models for chemotaxis and their drift-diffusion limits
• Cellular pattern formation during Dictyostelium aggregation
• A mechanism for morphogen-controlled domain growth
• An equation-free computational approach for extracting population-level behavior from individual-based models of biological dispersal
• 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
• Aggregation, Blowup, and Collapse: The ABC's of Taxis in Reinforced Random Walks
• The Diffusion Limit of Transport Equations Derived from Velocity-Jump Processes
• From Individual to Collective Behavior in Bacterial Chemotaxis
• From Signal Transduction to Spatial Pattern Formation inE. coli: A Paradigm for Multiscale Modeling in Biology
• Aggregation under local reinforcement: From lattice to continuum

This page was built for publication: From microscopic to macroscopic descriptions of cell migration on growing domains