Modelling aspects of solid tumour growth

Abstract:

This talk will present a range of mathematical modelling approaches we have used recently to model aspects of solid tumour growth. We will consider a very simple ordinary differential equation model for homeostasis in intestinal crypts, a more complicated cell-based hybrid model for crypt dynamics, a partial differential equation model for the acid-mediated invasion hypothesis and a compartmental model for acid-buffer handling in the body. Results from the mathematical analyses will be interpreted in the biological context to try to shed light on some fundamental processes and suggest therapies.