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

Styles, Vanessa, Garcke, Harald, Lam, Kei Fong and Sitka, Emanuel (2016) A Cahn-Hilliard-Darcy model for tumour growth with chemotaxis and active transport. Mathematical Models and Methods in Applied Sciences. ISSN 0218-2025 (Accepted)

WarningThere is a more recent version of this item available.
[img] PDF
Restricted to SRO admin only

Download (2MB)

Abstract

Using basic thermodynamical principles we derive a Cahn--Hilliard--Darcy model for tumour growth including nutrient diffusion, chemotaxis, active transport, adhesion, apoptosis and proliferation. The model generalise earlier models and in particular include active transport mechanisms which ensures thermodynamical consistency. We perform a formally matched asymptotic expansion and develop several sharp interface models. Some of them are classical and some new ones which for example include a jump in the nutrient density at the interface. A linear stability analysis for a growing nucleus is performed and in particular the role of the new active transport term is analysed. Numerical computations are performed to study the influence of the active transport term for specific growth scenarios.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics > QA0297 Numerical analysis
Depositing User: Vanessa Styles
Date Deposited: 15 Feb 2016 08:45
Last Modified: 08 Mar 2017 05:38
URI: http://sro.sussex.ac.uk/id/eprint/59636

Available Versions of this Item

View download statistics for this item

📧 Request an update