Classification and stability analysis of polarising and depolarising travelling wave solutions for a model of collective cell migration

作者：

Highlights：

• A model for collective cell migration in 1D features different travelling wave solutions corresponding to colliding and diverging cell sheets and leading to either polarisation or depolarisation.

• All these travelling wave solutions are stable.

• Most of the spectral analysis is carried out explicitly.

• Only one final step in the evaluation of the Evans Function is carried out numerically.

摘要

•A model for collective cell migration in 1D features different travelling wave solutions corresponding to colliding and diverging cell sheets and leading to either polarisation or depolarisation.•All these travelling wave solutions are stable.•Most of the spectral analysis is carried out explicitly.•Only one final step in the evaluation of the Evans Function is carried out numerically.

论文关键词：Collective cell migration,Travelling wave solution,Stability analysis,Evans function

论文评审过程：Received 24 September 2021, Revised 3 January 2022, Accepted 14 January 2022, Available online 1 February 2022, Version of Record 1 February 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.126954