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dc.contributor.authorCOLIN, Thierry
hal.structure.identifierInstitut National de Recherche en Informatique et en Automatique [Inria]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierModélisation, contrôle et calcul [MC2]
dc.contributor.authorIOLLO, Angelo
dc.contributor.authorLOMBARDI, Damiano
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierCentre National de la Recherche Scientifique [CNRS]
hal.structure.identifierModélisation Mathématique pour l'Oncologie [MONC]
dc.contributor.authorSAUT, Olivier
dc.date.accessioned2024-04-04T02:29:52Z
dc.date.available2024-04-04T02:29:52Z
dc.date.issued2012
dc.identifier.issn0218-2025
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190216
dc.description.abstractEnA tumor growth model based on a parametric system of partial differential equations is considered. The system corresponds to a phenomenological description of a multi-species population evolution. A velocity field taking into account the volume increase due to cellular division is introduced and the mechanical closure is provided by a Darcy-type law. The complexity of the biological phenomenon is taken into account through a set of parameters included in the model that need to be calibrated. To this end, a system identification method based on a low-dimensional representation of the solution space is introduced. We solve several idealized identification cases corresponding to typical situations where the information is scarce in time and in terms of observable fields. Finally, applications to actual clinical data are presented.
dc.language.isoen
dc.publisherWorld Scientific Publishing
dc.subject.enTumor growth modeling
dc.subject.endata assimilation
dc.subject.eninverse problems
dc.title.enSYSTEM IDENTIFICATION IN TUMOR GROWTH MODELING USING SEMI-EMPIRICAL EIGENFUNCTIONS
dc.typeArticle de revue
dc.identifier.doi10.1142/s0218202512500030
dc.subject.halMathématiques [math]
bordeaux.journalMathematical Models and Methods in Applied Sciences
bordeaux.volume22
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue6
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-04485448
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-04485448v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Mathematical%20Models%20and%20Methods%20in%20Applied%20Sciences&rft.date=2012&rft.volume=22&rft.issue=6&rft.eissn=0218-2025&rft.issn=0218-2025&rft.au=COLIN,%20Thierry&IOLLO,%20Angelo&LOMBARDI,%20Damiano&SAUT,%20Olivier&rft.genre=article


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