Kinetics of the cellular Potts model revisited
Kinetics of the cellular Potts model revisited
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DOI：
10.1088/1367-2630/13/3/033035
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发表时间：
2011-03-25
影响因子：
3.3
通讯作者：
Ishihara, Shuji
中科院分区：
文献类型：
--
作者：
Nakajima, Akihiko;Ishihara, Shuji
用细胞Potts模型研究了细胞分选的弛豫动力学。与以前的报道相反，发现畴尺寸的增加服从幂律（R（t）与t（n）成正比）。对于两种细胞类型的均匀混合物，生长指数结果为n = 1/3，其中每种细胞类型的域是相互连接的，并且动力学由域边界的平滑主导。对于不均匀的混合物，指数为n = 1/4，其中细胞分选通过圆形细胞域的扩散-聚结进行。根据D（R）与R（-2）成比例，该指数由细胞簇的运动性作为其大小的函数的降低来解释。我们的研究结果为阐明细胞群如何在组织内迁移提供了一个理论框架。
The relaxation kinetics of cell sorting are studied with the cellular Potts model. In contrast to previous reports, the increase in domain size is found to obey a power law (R(t)proportional to t(n)). The growth exponent turns out to be n = 1/3 for an even mixture of two cell types, where the domains for each cell type are interconnected and the kinetics are dominated by smoothing of the domain boundary. The exponent is n = 1/4 for uneven mixtures where cell sorting proceeds via the diffusion-coalescence of circular cell domains. The exponent is explained by the decrease in motility of a cell cluster as a function of its size according to D(R) proportional to R(-2). Our results provide a theoretical framework for elucidating how cell populations migrate within tissue.