AN IN VITRO CELL POPULATION DYNAMICS MODEL INCORPORATING CELL SIZE, QUIESCENCE, AND CONTACT INHIBITION
AN IN VITRO CELL POPULATION DYNAMICS MODEL INCORPORATING CELL SIZE, QUIESCENCE, AND CONTACT INHIBITION
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DOI：
10.1142/s0218202511005404
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发表时间：
2011-04-01
影响因子：
3.5
通讯作者：
Webb, Glenn F.
中科院分区：
文献类型：
--
作者：
Ducrot, Arnaud;Le Foll, Frank;Webb, Glenn F.
在本文中，我们构建了一个模型来描述占据二维培养皿的单层细胞的空间运动。通过考虑非局部接触抑制、静止现象和细胞周期，我们推导了带有非局部反应项的多孔介质方程。本文的第一部分致力于模型的构建。在第二部分中，我们研究模型的适定性。我们通过对模型进行一些数值模拟来总结本文，并观察菌落的形成。
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.