AN IN VITRO CELL POPULATION DYNAMICS MODEL INCORPORATING CELL SIZE, QUIESCENCE, AND CONTACT INHIBITION

被引：21

作者：

Ducrot, Arnaud ^{[1
]}

Le Foll, Frank ^{[2
]}

Magal, Pierre ^{[1
]}

Murakawa, Hideki ^{[3
]}

Pasquier, Jennifer ^{[2
]}

Webb, Glenn F. ^{[4
]}

机构：

[1] Univ Bordeaux 2, Inst Math Bordeaux, CNRS, UMR 5251, F-33000 Bordeaux, France

[2] Univ Havre, Lab Ecotoxicol, UPRES EA 3222, IFRMP 23, F-76058 Le Havre, France

[3] Toyama Univ, Grad Sch Sci & Engn Res, Toyama 9308555, Japan

[4] Vanderbilt Univ, Dept Math, Stevenson Ctr, Nashville, TN 37240 USA

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2011年 / 21卷

关键词：

Cell population dynamics; spatial motion; cell cycle; contact inhibition; cell colonies; WAVE-FRONT PROPAGATION; STRUCTURED POPULATION; MATHEMATICAL-MODEL; TUMOR-GROWTH; CANCER; EQUATION; ADHESION; INVASION; COMPETITION; STABILITY;

D O I：

10.1142/S0218202511005404

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：871 / 892

页数：22

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