Cell invasion with proliferation mechanisms motivated by time-lapse data

Simpson, Matthew, Landman, Kerry A., & Hughes, Barry (2010) Cell invasion with proliferation mechanisms motivated by time-lapse data. Physica A : Statistical Mechanics and its Applications, 389(18), pp. 3779-3790.

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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.

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46 citations in Scopus
45 citations in Web of Science®
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105 since deposited on 30 Nov 2010
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ID Code: 38941
Item Type: Journal Article
Refereed: Yes
Additional URLs:
Keywords: Cell invasion, Proliferation, Exclusion process, Time-lapse data
DOI: 10.1016/j.physa.2010.05.020
ISSN: 0378-4371
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > APPLIED MATHEMATICS (010200) > Biological Mathematics (010202)
Divisions: Past > QUT Faculties & Divisions > Faculty of Science and Technology
Current > Institutes > Institute of Health and Biomedical Innovation
Past > Schools > Medical Radiation Sciences
Copyright Owner: Copyright 2010 Elsevier
Deposited On: 30 Nov 2010 22:14
Last Modified: 29 Feb 2012 14:17

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