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

We study travelling wave solutions of a 1D continuum model for collective cell migration in which cells are characterised by position and polarity. Four different types identified represent polarisation depolarisation waves resulting from either colliding or departing sheets as observed wound experiments. the linear stability numerically using spectral theory. This involves computation Evans function most we able to carry out explicitly, with one final step left numerical simulation.