| Issue |
Math. Model. Nat. Phenom.
Volume 10, Number 1, 2015
Hybrid models
|
|
|---|---|---|
| Page(s) | 94 - 107 | |
| DOI | https://doi.org/10.1051/mmnp/201510105 | |
| 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
Dresden,
Germany
2 Center for Information Services and
High-Performance Computing, Technische Universität Dresden,
01062
Dresden,
Germany
⋆
Corresponding author. E-mail: haralambos.hatzikirou@tu-dresden.de
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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