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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.