Modelling collective cell behaviour

DOI10.3934/dcds.2014.34.5123zbMath1308.35315OpenAlexW2082787767MaRDI QIDQ476606

Ruth E. Baker, Philip K. Maini, Deborah C. Markham

Publication date: 2 December 2014

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2014.34.5123

zbMATH Keywords

discrete modelscontinuum modelscell biologymoment dynamicsvolume exclusion

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell biology (92C37) Mathematical biology in general (92B99)

Related Items (4)

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Cites Work

• Unnamed Item
• Experimental and modelling investigation of monolayer development with clustering
• A multiscale maximum entropy moment closure for locally regulated space-time point process models of population dynamics
• A one-dimensional model of cell diffusion and aggregation, incorporating volume filling and cell-to-cell adhesion
• The importance of being discrete (and spatial)
• Using moment equations to understand stochastically driven spatial pattern formation in ecological systems
• On moment closures for population dynamics in continuous space
• Slow and fast invasion waves in a model of acid-mediated tumour growth
• Pair-level approximations to the spatio-temporal dynamics of epidemics on asymmetric contact networks
• A general reaction-diffusion model of acidity in cancer invasion
• Aggregation, Blowup, and Collapse: The ABC's of Taxis in Reinforced Random Walks
• Statistical Mechanics of Fluid Mixtures
• Deterministic epidemic models on contact networks: correlations and unbiological terms
• Modeling and analysis of stochastic invasion processes

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