论文标题
细胞迁移的非本地动力学模型：对接触指导与空间障碍之间相互作用的研究
A non-local kinetic model for cell migration: a study of the interplay between contact guidance and steric hindrance
论文作者
论文摘要
我们提出了一个非本地模型，用于接触引导和空间障碍，具体取决于单个外部提示，即细胞外基质，以双重影响细胞的极化和运动速度影响。我们从与细胞速度和方向变化有关的细胞重新定位机制背后的随机过程的微观描述开始。然后，我们正式得出相应的动力学模型，该模型精确地实现了规定的微观动力学，并且可以从中推断出适当的制度中的宏观极限。此外，我们在几种情况下测试了我们的模型。特别是，我们通过将模型的结果与与乳腺癌细胞迁移相关的一些实验结果进行比较，从数值上研究了重现细胞动力学所必需的最小微观机制。这使我们能够验证提出的建模方法，并强调其预测各种异质微环境中定性细胞行为的能力。
We propose a non-local model for contact guidance and steric hindrance depending on a single external cue, namely the extracellular matrix, that affects in a twofold way the polarization and speed of motion of the cells. We start from a microscopic description of the stochastic processes underlying the cell re-orientation mechanism related to the change of cell speed and direction. Then, we formally derive the corresponding kinetic model that implements exactly the prescribed microscopic dynamics and, from it, it is possible to deduce the macroscopic limit in the appropriate regime. Moreover, we test our model in several scenarios. In particular, we numerically investigate the minimal microscopic mechanisms that are necessary to reproduce cell dynamics by comparing the outcomes of our model with some experimental results related to breast cancer cell migration. This allows us to validate the proposed modeling approach and, also, to highlight its capability of predicting the qualitative cell behaviors in diverse heterogeneous microenvironments.
