A Cahn-Hilliard-Darcy model for tumour growth with chemotaxis and active transport

URN to cite this document:: urn:nbn:de:bvb:355-epub-331291
DOI to cite this document:: 10.5283/epub.33129

Garcke, Harald ; Lam, Kei Fong ; Sitka, Emanuel ; Styles, Vanessa

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Date of publication of this fulltext: 11 Jan 2016 13:45

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Abstract

Using basic thermodynamic principles we derive a Cahn--Hilliard--Darcy model for tumour growth including nutrient diffusion, chemotaxis, active transport, adhesion, apoptosis and proliferation. The model generalises earlier models and in particular includes active transport mechanisms which ensure thermodynamic consistency. We perform a formally matched asymptotic expansion and develop several ...