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A multiphase Cahn–Hilliard–Darcy model for tumour growth with necrosis

Garcke, Harald ; Lam, Kei Fong ; Nürnberg, Robert ; Sitka, Emanuel


We derive a Cahn-Hilliard-Darcy model to describe multiphase tumour growth taking interactions with multiple chemical species into account as well as the simultaneous occurrence of proliferating, quiescent and necrotic regions. A multitude of phenomena such as nutrient diffusion and consumption, angiogenesis, hypoxia, blood vessel growth, and inhibition by toxic agents, which are released for ...


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