GLLSTumourM3AS15.pdf (2.31 MB)
A Cahn-Hilliard-Darcy model for tumour growth with chemotaxis and active transport
journal contribution
posted on 2023-06-09, 01:17 authored by Harald Garcke, Kei Fong Lam, Emanuel Sitka, Vanessa StylesVanessa StylesUsing 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.
History
Publication status
- Published
File Version
- Accepted version
Journal
Mathematical Models and Methods in Applied SciencesISSN
0218-2025Publisher
World Scientific PublishingExternal DOI
Issue
06Volume
26Page range
1095-1148Department affiliated with
- Mathematics Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2016-05-17First Open Access (FOA) Date
2017-04-04First Compliant Deposit (FCD) Date
2016-05-17Usage metrics
Categories
No categories selectedKeywords
Licence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC