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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.
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| Dokumentenart | Monographie (Working Paper) | ||||
| Schriftenreihe der Universität Regensburg: | Preprintreihe der Fakultät Mathematik | ||||
|---|---|---|---|---|---|
| Band: | 15/2015 | ||||
| Datum | 2015 | ||||
| Institutionen | Mathematik > Prof. Dr. Harald Garcke | ||||
| Identifikationsnummer |
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| Dewey-Dezimal-Klassifikation | 500 Naturwissenschaften und Mathematik > 510 Mathematik | ||||
| Status | Unbekannt / Keine Angabe | ||||
| Begutachtet | Nein, diese Version wurde noch nicht begutachtet (bei preprints) | ||||
| An der Universität Regensburg entstanden | Ja | ||||
| URN der UB Regensburg | urn:nbn:de:bvb:355-epub-331291 | ||||
| Dokumenten-ID | 33129 |
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