具有趋化性的细胞-细胞黏附的非线性亚扩散模型
A non-linear subdiffusion model for a cell-cell adhesion in chemotaxis
摘要：
本工作的目的是提出一个非马尔可夫和非线性模型的subdiffusive运输，涉及粘附影响细胞逃逸率从位置x，与趋化性。这导致逃逸速率依赖于相邻粒子的密度以及趋化梯度。系统地导出了次扩散分数阶主方程，并讨论了分数阶主方程的扩散极限。最后，我们解决了由此产生的分数次扩散主方程文具和分析的作用，粘附在由此产生的固定密度。
英文摘要：
The purpose of this work is to propose a non-Markovian and nonlinear model of subdiffusive transport that involves adhesion affects the cells escape rates form position x, with chemotaxis. This leads the escape rates to be dependent on the particles density at the neighbours as well as the chemotactic gradient. We systematically derive subdiffusive fractional master equation, then we consider the diffusive limit of the fractional master equation. We finally solve the resulted fractional subdiffusive master equation stationery and analyse the role of adhesion in the resulted stationary density.
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