TY - JOUR
T1 - An in vitro cell population dynamics model incorporating cell size, quiescence, and contact inhibition
AU - Ducrot, Arnaud
AU - Le Foll, Frank
AU - Magal, Pierre
AU - Murakawa, Hideki
AU - Pasquier, Jennifer
AU - Webb, Glenn F.
PY - 2011/4
Y1 - 2011/4
N2 - 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.
AB - 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.
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U2 - 10.1142/S0218202511005404
DO - 10.1142/S0218202511005404
M3 - Article
AN - SCOPUS:79955984497
SN - 0218-2025
VL - 21
SP - 871
EP - 892
JO - Mathematical Models and Methods in Applied Sciences
JF - Mathematical Models and Methods in Applied Sciences
IS - SUPPL. 1
ER -