标题： 细胞间粘附的非线性亚扩散模型 显示英文标题

标题： A non-linear subdiffusion model for a cell-cell adhesion in chemotaxis

摘要： 本工作的目的是提出一种非马尔可夫且非线性的亚扩散输运模型，该模型涉及粘附影响细胞从位置x逃逸的速率，同时考虑趋化性。 这使得逃逸速率依赖于邻近区域的粒子密度以及趋化梯度。 我们系统地推导出亚扩散分数阶主方程，然后我们考虑分数阶主方程的扩散极限。 我们最终求解得到的分数阶亚扩散主方程的稳态，并分析粘附在得到的稳态密度中的作用。 显示英文摘要

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.