论文标题
尖锐界面极限附近的细胞运动模型的动力学
Dynamics of a cell motility model near the sharp interface limit
论文作者
论文摘要
相位场模型最近在描述真核细胞的动态形态和运动性方面取得了巨大成功。在这项工作中，我们研究了[Berlyand，Potomkin，Rybalko（2017）]中引入的最小相位模型。在[Mizuhara，Berlyand，Rybalko，Zhang（2016）中完成了对其尖锐界面限制动力学的严格分析； Mizuhara，Zhang（2019）]，观察到持续的细胞运动不稳定。在这项工作中，我们在数字上研究了尖锐界面限制附近的限制前相处模型，以更好地理解这种缺乏持续运动的缺乏。我们发现，在这个最小模型中，固定，持久和旋转状态都显示出来，并研究了尖锐的界面极限中持续运动的丧失。此外，我们研究细胞速度是生物物理参数的函数。
Phase-field models have recently had great success in describing the dynamic morphologies and motility of eukaryotic cells. In this work we investigate the minimal phase-field model introduced in [Berlyand, Potomkin, Rybalko (2017)]. Rigorous analysis of its sharp interface limit dynamics was completed in [Mizuhara, Berlyand, Rybalko, Zhang (2016); Mizuhara, Zhang (2019)], where it was observed that persistent cell motion was not stable. In this work we numerically study the pre-limiting phase-field model near the sharp interface limit, to better understand this lack of persistent motion. We find that immobile, persistent, and rotating states are all exhibited in this minimal model, and investigate the loss of persistent motion in the sharp interface limit. In addition we study cell speed as a function of biophysical parameters.
