论文标题
非本地动力学模型的稳定性，用于细胞迁移，并具有密度依赖方向偏置
Stability of a non-local kinetic model for cell migration with density dependent orientation bias
论文作者
论文摘要
本文的目的是研究Loy和Preziosi（2019a）提出的非本地动力学模型的稳定性。我们将种群分为两个亚组，并进行线性稳定性分析。我们表明，模式形成是由一个非二维参数的调节而导致的，该参数取决于翻滚频率，传感半径，沿给定方向的平均速度，均匀的构型密度以及对细胞密度的战术响应。数值模拟表明，我们的线性稳定性分析准确地预测了确定不稳定性和模式形成的参数范围。在不同方向上的平均速度不同的情况下，我们还扩展了稳定性分析。在这种情况下，对于导致不稳定性波动波模式的参数值。
The aim of the article is to study the stability of a non-local kinetic model proposed by Loy and Preziosi (2019a). We split the population in two subgroups and perform a linear stability analysis. We show that pattern formation results from modulation of one non-dimensional parameter that depends on the tumbling frequency, the sensing radius, the mean speed in a given direction, the uniform configuration density and the tactic response to the cell density. Numerical simulations show that our linear stability analysis predicts quite precisely the ranges of parameters determining instability and pattern formation. We also extend the stability analysis in the case of different mean speeds in different directions. In this case, for parameter values leading to instability travelling wave patterns develop.
