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

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

Garcke, Harald, Lam, Kei Fong, Sitka, Emanuel und Styles, Vanessa (2015) A Cahn-Hilliard-Darcy model for tumour growth with chemotaxis and active transport. Preprintreihe der Fakultät Mathematik 15/2015, Working Paper.

Veröffentlichungsdatum dieses Volltextes: 11 Jan 2016 13:45
Monographie
DOI zum Zitieren dieses Dokuments: 10.5283/epub.33129


Zusammenfassung

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 ...

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 sharp interface models. Some of them are classical and some are new 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.



Beteiligte Einrichtungen


Details

DokumentenartMonographie (Working Paper)
Schriftenreihe der Universität Regensburg:Preprintreihe der Fakultät Mathematik
Band:15/2015
Datum2015
InstitutionenMathematik > Prof. Dr. Harald Garcke
Identifikationsnummer
WertTyp
1508.00437arXiv-ID
Dewey-Dezimal-Klassifikation500 Naturwissenschaften und Mathematik > 510 Mathematik
StatusUnbekannt / Keine Angabe
BegutachtetNein, diese Version wurde noch nicht begutachtet (bei preprints)
An der Universität Regensburg entstandenJa
URN der UB Regensburgurn:nbn:de:bvb:355-epub-331291
Dokumenten-ID33129

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