Discrete and continuum approximations for collective cell migration in a scratch assay with cell size dynamics
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Publication:1636042
DOI10.1007/s11538-018-0398-2zbMath1390.92025OpenAlexW2769353771MaRDI QIDQ1636042
Matthew J. Simpson, Catherine J. Penington, Ruth E. Baker, Oleksii M. Matsiaka
Publication date: 4 June 2018
Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1101/219204
Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Cell movement (chemotaxis, etc.) (92C17)
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Cites Work
- Unnamed Item
- Reproducibility of scratch assays is affected by the initial degree of confluence: experiments, modelling and model selection
- Collective cell behaviour with neighbour-dependent proliferation, death and directional bias
- Using moment equations to understand stochastically driven spatial pattern formation in ecological systems
- On moment closures for population dynamics in continuous space
- Cell density and cell size dynamics during \textit{in vitro} tissue growth experiments: implications for mathematical models of collective cell behaviour
- Spatial point processes and moment dynamics in the life sciences: a parsimonious derivation and some extensions
- Exact equations for SIR epidemics on tree graphs
- Algebraic moment closure for population dynamics on discrete structures
- Choosing an appropriate modelling framework for analysing multispecies co-culture cell biology experiments
- Continuum approximations for lattice-free multi-species models of collective cell migration
- A continuum approximation to an off-lattice individual-cell based model of cell migration and adhesion
- Pair-level approximations to the spatio-temporal dynamics of epidemics on asymmetric contact networks
- A stochastic model for wound healing
- Modelling solid tumour growth using the theory of mixtures
- Statistical Mechanics of Fluid Mixtures
