Theoretical and numerical analysis for a hybrid tumor model with diffusion depending on vasculature
A. Fernández-Romero,
F. Guillén-González,
A. Suárez
Abstract:In this work we analyse a PDE-ODE problem modelling the evolution of a Glioblastoma, which includes an anisotropic nonlinear diffusion term with a diffusion velocity increasing with respect to vasculature. First, we prove the existence of global in time weak-strong solutions using a regularization technique via an artificial diffusion in the ODE-system and a fixed point argument. In addition, stability results of the critical points are given under some constraints on parameters. Finally, we design a fully dis… Show more
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