Scopus Indexed Publications

Paper Details


Title
Classification and stability analysis of polarising and depolarising travelling wave solutions for a model of collective cell migration
Author
Nizhum Rahman,
Email
nijhum.ged@diu.edu.bd
Abstract

    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 of travelling wave solutions are identified which represent polarisation and depolarisation waves resulting from either colliding or departing cell sheets as observed in model wound experiments. We study the linear stability of the travelling wave solutions numerically and using spectral theory. This involves the computation of the Evans function most of which we are able to carry out explicitly, with one final step left to numerical simulation.

    Keywords
    Collective cell migration Travelling wave solution Stability analysis Evans function
    Journal or Conference Name
    Applied Mathematics and Computation
    Publication Year
    2022
    Indexing
    scopus