Abstract:
We introduce a haptotaxis cancer invasion model that includes two
families of cancer cells. The model considers an epithelial-to-
mesenchymal-like transition between the two families as well as a
degradation and a self-reconstruction process of the extracellular
matrix.

We present numerical simulations of the model and prove global
existence and uniqueness of classical solutions on two dimensional
domains.

The talk is based on a joint work with Jan Giesselmann, Mária Lukáčová-
Medvi⌣dová and Nikolaos Sfakianakis.