Mean-field descriptions of collective migration with strong adhesion

Mean-field descriptions of collective migration with strong adhesion
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DOI:
10.1103/physreve.85.051922
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发表时间:
2012-05-29
期刊:
影响因子:
2.4
通讯作者:
Baker, Ruth E.
Baker, Ruth E.
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Johnston, Stuart T.;Simpson, Matthew J.;Baker, Ruth E.

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基于具有接触效应的排斥过程的随机游走模型通常用于表示集体迁移,其中个体代理受到代理对代理粘附的影响。这些过程的非线性平均场表示采取非线性扩散方程的形式,对于强粘附,不预测平均离散行为。我们提出了一个替代套件的平均场表示,表明集体迁移具有很强的粘附力,可以准确地表示使用一个时刻封闭的方法。
Random walk models based on an exclusion process with contact effects are often used to represent collective migration where individual agents are affected by agent-to-agent adhesion. Traditionalmean-field representations of these processes take the form of a nonlinear diffusion equation which, for strong adhesion, does not predict the averaged discrete behavior. We propose an alternative suite of mean-field representations, showing that collective migration with strong adhesion can be accurately represented using a moment closure approach.