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

Arnaud Ducrot (1) , Frank Le Foll (2) , Pierre Magal (1) , Hideki Murakawa , Jennifer Pasquier (2) , Glenn Webb

1 IMB - Institut de Mathématiques de Bordeaux
2 LEMA - Laboratoire d'Ecotoxicologie - Milieux Aquatiques

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.

Mots clés: cell population dynamics; spatial motion; cell cycle; contact inhibition; cell colonies

Domaines: Ecotoxicologie; Immunité innée; Interactions cellulaires [q-bio.CB]; Organisation et fonctions cellulaires [q-bio.SC]

Arnaud Ducrot, Frank Le Foll, Pierre Magal, Hideki Murakawa, Jennifer Pasquier, et al.. An in vitro cell population dynamics model incorporating cell size, quiescence, and contact inhibition. Mathematical Models and Methods in Applied Sciences, 2011, 21 (supp01), pp.871-892. ⟨10.1142/S0218202511005404⟩. ⟨hal-02314809⟩