An <i>in vitro</i> cell population dynamics model incorporating cell size, quiescence, and contact inhibition
Langue
en
Article de revue
Ce document a été publié dans
Mathematical Models and Methods in Applied Sciences. 2011-10-24, vol. 21, n° supp01, p. 871-892
World Scientific Publishing
Résumé en anglais
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 ...Lire la suite >
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.< Réduire
Mots clés en anglais
cell population dynamics
spatial motion
cell cycle
contact inhibition
cell colonies
Origine
Importé de halUnités de recherche