Johnston Stuart T, Simpson Matthew J, Baker Ruth E
School of Mathematical Sciences, Queensland University of Technology, Brisbane, Australia.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 May;85(5 Pt 1):051922. doi: 10.1103/PhysRevE.85.051922. Epub 2012 May 29.
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. Traditional mean-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.
基于具有接触效应的排斥过程的随机游走模型常用于表示集体迁移，其中个体主体会受到主体间粘附的影响。这些过程的传统平均场表示形式为非线性扩散方程，对于强粘附情况，该方程无法预测平均离散行为。我们提出了一套替代的平均场表示方法，表明使用矩闭合方法可以准确表示具有强粘附的集体迁移。
