Transient pattern formation in a stochastic model of cancer growth

We study a spatially inhomogeneous model of cancer growth based on Michaelis--Menten kinetics, subjected to additive Gaussian noise and multiplicative dichotomous noise. In presence of the latter, we can observe a transition between two stationary states of the system. The transient behaviour generates a spatial pattern of two phases, where cancer cells or immune cells predominate.

Anna Ochab-Marcinek · 2005