论文标题
具有非本地传感的多提示动力学模型，用于趋化纤维网络上的细胞迁移
Multi-cue kinetic model with non-local sensing for cell migration on a fibers network with chemotaxis
论文作者
论文摘要
细胞对外部刺激进行定向运动，以通过膜突起传感环境来检测到。特别是，几种生化和生物物理提示导致朝着其特定目标的方向迁移。这定义了一个多提示的环境，其中细胞必须对不同的刺激进行分类并结合不同的竞争性刺激。我们提出了一个非本地动力学模型，用于在存在两个外部因素的情况下均影响细胞极化：接触引导和趋化性。我们提出了两种不同的感应策略，并通过在不同的方向上恢复适当的宏观限制来分析两种结果模型，以查看两个外部磁场变化的细胞的大小如何影响整体行为。此外，我们将动力学传输方程在二维环境中以数值为单位进行整合，以便在定性上进行各种情况研究。
Cells perform directed motion in response to external stimuli that they detect by sensing the environment with their membrane protrusions. In particular, several biochemical and biophysical cues give rise to tactic migration in the direction of their specific targets. This defines a multi-cue environment in which cells have to sort and combine different, and potentially competitive, stimuli. We propose a non-local kinetic model for cell migration in presence of two external factors both influencing cell polarization: contact guidance and chemotaxis. We propose two different sensing strategies and we analyze the two resulting models by recovering the appropriate macroscopic limit in different regimes, in order to see how the size of the cell, with respect to the variation of both external fields, influences the overall behavior. Moreover, we integrate numerically the kinetic transport equation in a two-dimensional setting in order to investigate qualitatively various scenarios.
