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

Garcke, Harald, Lam, Kei Fong, Nürnberg, Robert and Sitka, Emanuel (2017) A multiphase Cahn-Hilliard-Darcy model for tumour growth with necrosis. Preprintreihe der Fakultät Mathematik 4/2017, Working Paper. (Submitted)

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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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Item type:Monograph (Working Paper)
Series of the University of Regensburg:Preprintreihe der Fakultät Mathematik
Date:2017
Institutions:Mathematics > Prof. Dr. Harald Garcke
Classification:
NotationType
92B05MSC
35K57MSC
35R35MSC
65M60MSC
Keywords:multiphase tumour growth, phase field model, Darcy ow, necrosis, cellular adhesion, matched asymptotic expansions, finite element computations
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Submitted
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Item ID:36244
Owner only: item control page

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