On a Reaction-Cross-Diffusion System Modeling the Growth of Glioblastoma

We investigate a recently proposed cross-diffusion system modeling the growth of gliobastoma taking into account size exclusion in both the migration and the proliferation process. In addition to degenerate nonlinear cross-diffusion, the model includes reaction terms as in the Fisher--Kolmogorov equation and linear ones modeling transition between states of proliferation and migration. We discuss the mathematical structure of the system and...