一个细胞运动模型在锐界面极限附近的动力学行为
Dynamics of a cell motility model near the sharp interface limit
摘要：
相场模型最近在描述真核细胞的动态形态和运动方面取得了巨大的成功。在这项工作中，我们研究了在[Berlyand，Potomkin，Rybalko（2017）]中引入的最小相场模型。在[Mizuhara，Berlyand，Rybalko，Zhang（2016）; Mizuhara，Zhang（2019）]中完成了对其尖锐界面极限动力学的严格分析，其中观察到持续的细胞运动并不稳定。在这项工作中，我们数值研究的前限制相场模型附近的尖锐的接口限制，以更好地理解这种缺乏持久的运动。我们发现，不动，持久性和旋转状态都表现在这个最小的模型，并调查在尖锐的界面限制的持续运动的损失。此外，我们研究细胞的速度作为生物物理参数的函数。
英文摘要：
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.
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