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Cell invasion with proliferation mechanisms motivated by time-lapse data

Author

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

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.

Suggested Citation

  • Simpson, Matthew J. & Landman, Kerry A. & Hughes, Barry D., 2010. "Cell invasion with proliferation mechanisms motivated by time-lapse data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(18), pages 3779-3790.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:18:p:3779-3790
    DOI: 10.1016/j.physa.2010.05.020
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    Citations

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    Cited by:

    1. Wang Jin & Catherine J Penington & Scott W McCue & Matthew J Simpson, 2017. "A computational modelling framework to quantify the effects of passaging cell lines," PLOS ONE, Public Library of Science, vol. 12(7), pages 1-16, July.
    2. Clements, Alastair J. & Fadai, Nabil T., 2022. "Agent-based modelling of sports riots," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 597(C).
    3. Irons, Carolyn & Plank, Michael J. & Simpson, Matthew J., 2016. "Lattice-free models of directed cell motility," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 442(C), pages 110-121.
    4. Brenda N Vo & Christopher C Drovandi & Anthony N Pettitt & Graeme J Pettet, 2015. "Melanoma Cell Colony Expansion Parameters Revealed by Approximate Bayesian Computation," PLOS Computational Biology, Public Library of Science, vol. 11(12), pages 1-22, December.
    5. Baker, Ruth E. & Simpson, Matthew J., 2012. "Models of collective cell motion for cell populations with different aspect ratio: Diffusion, proliferation and travelling waves," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(14), pages 3729-3750.
    6. Katrina K Treloar & Matthew J Simpson, 2013. "Sensitivity of Edge Detection Methods for Quantifying Cell Migration Assays," PLOS ONE, Public Library of Science, vol. 8(6), pages 1-10, June.
    7. Matthew J Simpson & Parvathi Haridas & D L Sean McElwain, 2014. "Do Pioneer Cells Exist?," PLOS ONE, Public Library of Science, vol. 9(1), pages 1-11, January.

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