Special Session 143: 
Traveling wave solutions in a model for tumour invasion with the acid-mediation hypothesis
Robert Marangell
University of Sydney
Australia
Co-Author(s):    P. Davis, P. van Heijster, R. Rodrigo
Abstract:
In this talk, I will discuss how Geometric Singular Perturbation Theory (GSPT) can be used to show the existence of travelling wave solutions in a Gatenby-Gawlinski model. In particular, I will show how GSPT can be used to show the existence of a slow travelling wave with an interstitial gap. Such a gap has been observed experimentally, and we provide a mathematical framework for its existence in terms of a dynamic transcritical bifurcation.
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