Analysis of a tumor model as a multicomponent deformable porous medium
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2842 | |
dc.contributor.author | Krejčí, Pavel | |
dc.contributor.author | Rocca, Elisabetta | |
dc.contributor.author | Sprekels, Jürgen | |
dc.date.accessioned | 2022-07-05T14:10:47Z | |
dc.date.available | 2022-07-05T14:10:47Z | |
dc.date.issued | 2021 | |
dc.description.abstract | We propose a diffuse interface model to describe tumor as a multicomponent deformable porous medium. We include mechanical effects in the model by coupling the mass balance equations for the tumor species and the nutrient dynamics to a mechanical equilibrium equation with phase-dependent elasticity coefficients. The resulting PDE system couples two Cahn--Hilliard type equations for the tumor phase and the healthy phase with a PDE linking the evolution of the interstitial fluid to the pressure of the system, a reaction-diffusion type equation for the nutrient proportion, and a quasistatic momentum balance. We prove here that the corresponding initial-boundary value problem has a solution in appropriate function spaces. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9560 | |
dc.identifier.uri | https://doi.org/10.34657/8598 | |
dc.language.iso | eng | |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2842 | |
dc.relation.hasversion | https://doi.org/10.4171/IFB/472 | |
dc.relation.issn | 2198-5855 | |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject.ddc | 510 | |
dc.subject.other | Tumor model | eng |
dc.subject.other | porous medium | eng |
dc.subject.other | diffuse interface model | eng |
dc.subject.other | Cahn--Hilliard equation | eng |
dc.subject.other | reaction-diffusion equation | eng |
dc.title | Analysis of a tumor model as a multicomponent deformable porous medium | eng |
dc.type | Report | eng |
dc.type | Text | eng |
dcterms.extent | 22 S. | |
tib.accessRights | openAccess | |
wgl.contributor | WIAS | |
wgl.subject | Mathematik | |
wgl.type | Report / Forschungsbericht / Arbeitspapier |
Files
Original bundle
1 - 1 of 1
Loading...
- Name:
- wias_preprints_2842.pdf
- Size:
- 284.08 KB
- Format:
- Adobe Portable Document Format
- Description: