Dynamics of a cell motility model near the sharp interface limit

Abstract

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.

18 pages, 5 figures

References in corpus (4)

• A minimal physical model captures the shapes of crawling cells
• Crawling and turning in a minimal reaction-diffusion cell motility model: coupling cell shape and biochemistry
• A minimal model for spontaneous cell polarization and edge activity in oscillating, rotating and migrating cells
• Minimal Model of Directed Cell Motility on Patterned Substrates