An in vitro cell population dynamics model incorporating cell size, quiescence, and contact inhibition

Arnaud Ducrot, Frank Le Foll, Pierre Magal, Hideki Murakawa, Jennifer Pasquier, Glenn F. Webb

Research output: Contribution to journalArticle

16 Citations (Scopus)


In this paper, we construct a model to describe the spatial motion of a monolayer of cells occupying a two-dimensional dish. By taking care of nonlocal contact inhibition, quiescence phenomenon, and the cell cycle, we derive porous media-like equation with nonlocal reaction terms. The first part of this paper is devoted to the construction of the model. In the second part we study the well-posedness of the model. We conclude the paper by presenting some numerical simulations of the model and we observe the formation of colonies.

Original languageEnglish
Pages (from-to)871-892
Number of pages22
JournalMathematical Models and Methods in Applied Sciences
Issue numberSUPPL. 1
Publication statusPublished - Apr 1 2011


All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Applied Mathematics

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