Cell invasion with proliferation mechanisms motivated by time-lapse data

Matthew J. Simpson, Kerry A. Landman and Barry D. Hughes

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 18, 3779-3790

Abstract: Cell invasion involves a population of cells which are motile and proliferative. Traditional discrete models of proliferation involve agents depositing daughter agents on nearest-neighbor lattice sites. Motivated by time-lapse images of cell invasion, we propose and analyze two new discrete proliferation models in the context of an exclusion process with an undirected motility mechanism. These discrete models are related to a family of reaction–diffusion equations and can be used to make predictions over a range of scales appropriate for interpreting experimental data. The new proliferation mechanisms are biologically relevant and mathematically convenient as the continuum–discrete relationship is more robust for the new proliferation mechanisms relative to traditional approaches.

Keywords: Cell invasion; Proliferation; Exclusion process; Time-lapse data (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:18:p:3779-3790

DOI: 10.1016/j.physa.2010.05.020

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