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

研究成果: Contribution to journalArticle査読

20 被引用数 (Scopus)

抄録

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.

本文言語英語
ページ(範囲)871-892
ページ数22
ジャーナルMathematical Models and Methods in Applied Sciences
21
SUPPL. 1
DOI
出版ステータス出版済み - 4 2011

All Science Journal Classification (ASJC) codes

  • モデリングとシミュレーション
  • 応用数学

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