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

URN to cite this document:
urn:nbn:de:bvb:355-epub-362445
DOI to cite this document:
10.5283/epub.36244
Garcke, Harald ; Lam, Kei Fong ; Nürnberg, Robert ; Sitka, Emanuel
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Date of publication of this fulltext: 17 Oct 2017 06:06


Abstract

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. Via a coupling of the Cahn{Hilliard{Darcy equations to a system of reaction-diffusion equations a multitude of phenomena such as nutrient diffusion and consumption, ...

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