Cell Migration Model with Multiple Chemical Compasses

TL;DR

This paper introduces a mathematical model for cell migration that captures different movement patterns by using competing internal compass variables, helping to understand cellular responses and classify complex cell behaviors.

Contribution

It presents a novel model based on internal compass competition and symmetries, providing insights into cell morphodynamics and responses to stimuli.

Findings

Analysis of fixed points explains cell motion patterns.

Model captures transition from polar to amoeboidal movement.

Response behaviors to external signals are characterized.

Abstract

A simple model is proposed that describes the various morphodynamic principles of migrating cells from polar to amoeboidal motions. The model equation is derived using competing internal cellular compass variables and symmetries of the system. Fixed points for the $N = 2$ system are closely investigated to clarify how the competition among polaritors explains the observed morphodynamics. Response behaviors of cell--to--signal stimuli are also investigated. This model will be useful for classifying high-dimensional cell motions and investigating collective cellular behaviors.