Global existence for a degenerate haptotaxis model of cancer invasion

Published 14 Dec 2015 in math.AP | (1512.04287v1)

Abstract: We propose and study a strongly coupled PDE-ODE system with tissue-dependent degenerate diffusion and haptotaxis that can serve as a model prototype for cancer cell invasion through the extracellular matrix. We prove the global existence of weak solutions and illustrate the model behaviour by numerical simulations for a two-dimensional setting.

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