Math. Model. Nat. Phenom.
Volume 10, Number 1, 2015Hybrid models
|Page(s)||94 - 107|
|Published online||13 February 2015|
Model-based Comparison of Cell Density-dependent Cell Migration Strategies
1 Center for Advancing Electronics
Dresden, Technische Universität Dresden, 01062
2 Center for Information Services and High-Performance Computing, Technische Universität Dresden, 01062 Dresden, Germany
Corresponding author. E-mail: email@example.com
Here, we investigate different cell density-dependent migration strategies. In particular, we consider strategies which differ in the precise regulation of transitions between resting and motile phenotypes. We develop a lattice-gas cellular automaton (LGCA) model for each migration strategy. Using a mean-field approximation we quantify the corresponding spreading dynamics at the cell population level. Our results allow for the prediction of cell population spreading based on experimentally accessible single cell migration parameters.
Mathematics Subject Classification: 12A34 / 56B78
Key words: cell migration strategies / non-linear diffusion / lattice-gas cellular automaton / mean-field approximation / spreading dynamics
© EDP Sciences, 2015
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