Existence of global solutions of a macroscopic model of cellular motion in a chemotactic field
Existence of global solutions of a macroscopic model of cellular motion in a chemotactic field
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DOI：
10.1016/j.aml.2009.05.013
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发表时间：
2009-11-01
影响因子：
3.7
通讯作者：
Kazmierczak, Bogdan
中科院分区：
文献类型：
--
作者：
Alber, Mark;Gejji, Richard;Kazmierczak, Bogdan
证明了一类具有趋化项的反应扩散方程组整体经典解的存在性。这个类包含一个系统的方程最近作为一个连续的限制随机离散细胞波茨模型。这提供了数学上的理由，使用该系统的数值解模拟细胞运动中的趋化性领域。(C)2009爱思唯尔有限公司版权所有。
Existence of global classical solutions of a class of reaction-diffusion systems with chemotactic terms is demonstrated. This class contains a system of equations derived recently as a continuous limit of the stochastic discrete cellular Potts model. This provides mathematical justification for using numerical solutions of this system for modeling cellular motion in a chemotactic field. (C) 2009 Elsevier Ltd. All rights reserved.