Afficher la notice abrégée

Computational modeling of solid tumor growth: the avascular stage

hal.structure.identifierLaboratoire de Mathématiques [LAMA]
dc.contributor.authorBRESCH, Didier
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierModélisation, contrôle et calcul [MC2]
dc.contributor.authorCOLIN, Thierry
hal.structure.identifierUnité de Mathématiques Pures et Appliquées [UMPA-ENSL]
dc.contributor.authorGRENIER, Emmanuel
hal.structure.identifierCiblage thérapeutique en Oncologie [EA3738]
dc.contributor.authorRIBBA, Benjamin
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierModélisation, contrôle et calcul [MC2]
dc.contributor.authorSAUT, Olivier
dc.date.created2007
dc.date.issued2010
dc.identifier.issn1064-8275
dc.description.abstractEnIn this paper, we present a mathematical model for avascular tumor growth and its numerical study in two and three dimensions. For this purpose, we use a multiscale model using PDEs to describe the evolution of the tumor cell densities. In our model, cell cycle regulation depends mainly on micro-environment. The cancer growth of volume induces cells motion and tumor expansion. According to biology, cells grow against a basal membrane which interacts mechanistically with the tumor. We use a level set method to describe this membrane and we compute its influence on cell movement thanks to a Stokes equation. The evolution of oxygen, diffusing from blood vessel to cancer cells and used to estimate hypoxia, is given by a stationary diffusion equation solved with a penalization method. The model has been applied to investigate the therapeutic benefit of anti-invasive agents and constitutes now the basis of a numerical platform for tumor growth simulation.
dc.language.isoen
dc.publisherSociety for Industrial and Applied Mathematics
dc.subject.enAvascular tumor growth. Multiscale models. Cell cycle modeling. Fluid dynamics. Level-set methods.
dc.subject.enAvascular tumor growth. Multiscale models. Cell cycle modeling. Fluid dynamics. Level-set methods
dc.title.enComputational modeling of solid tumor growth: the avascular stage
dc.typeArticle de revue
dc.subject.halInformatique [cs]/Modélisation et simulation
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halPhysique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph]
dc.subject.halSciences de l'ingénieur [physics]/Mécanique [physics.med-ph]/Mécanique des fluides [physics.class-ph]
dc.subject.halSciences du Vivant [q-bio]/Cancer
bordeaux.journalSIAM Journal on Scientific Computing
bordeaux.page2321-2344
bordeaux.volume32
bordeaux.issue4
bordeaux.peerReviewedoui
hal.identifierinria-00148610
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//inria-00148610v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=SIAM%20Journal%20on%20Scientific%20Computing&rft.date=2010&rft.volume=32&rft.issue=4&rft.spage=2321-2344&rft.epage=2321-2344&rft.eissn=1064-8275&rft.issn=1064-8275&rft.au=BRESCH,%20Didier&COLIN,%20Thierry&GRENIER,%20Emmanuel&RIBBA,%20Benjamin&SAUT,%20Olivier&rft.genre=article


Fichier(s) constituant ce document

FichiersTailleFormatVue

Il n'y a pas de fichiers associés à ce document.

Ce document figure dans la(les) collection(s) suivante(s)

Afficher la notice abrégée