Modelling the movement of interacting cell populations: A moment dynamics approach

Johnston, Stuart T., Simpson, Matthew J., & Baker, Ruth E. (2015) Modelling the movement of interacting cell populations: A moment dynamics approach. Journal of Theoretical Biology, 370, pp. 81-92.

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Mathematical models describing the movement of multiple interacting subpopulations are relevant to many biological and ecological processes. Standard mean-field partial differential equation descriptions of these processes suffer from the limitation that they implicitly neglect to incorporate the impact of spatial correlations and clustering. To overcome this, we derive a moment dynamics description of a discrete stochastic process which describes the spreading of distinct interacting subpopulations. In particular, we motivate our model by mimicking the geometry of two typical cell biology experiments. Comparing the performance of the moment dynamics model with a traditional mean-field model confirms that the moment dynamics approach always outperforms the traditional mean-field approach. To provide more general insight we summarise the performance of the moment dynamics model and the traditional mean-field model over a wide range of parameter regimes. These results help distinguish between those situations where spatial correlation effects are sufficiently strong, such that a moment dynamics model is required, from other situations where spatial correlation effects are sufficiently weak, such that a traditional mean-field model is adequate.

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ID Code: 91503
Item Type: Journal Article
Refereed: Yes
Keywords: cell motility, cell proliferation, cancer, wound healing, moment closure
DOI: 10.1016/j.jtbi.2015.01.025
ISSN: 0022-5193
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > APPLIED MATHEMATICS (010200) > Biological Mathematics (010202)
Divisions: Current > Institutes > Institute of Health and Biomedical Innovation
Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Deposited On: 03 Jan 2016 23:32
Last Modified: 04 Jan 2016 22:17

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