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Macro-scale models for fluid flow in tumour tissues: impact of microstructure properties

hal.structure.identifierModélisation Mathématique pour l'Oncologie [MONC]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorVAGHI, Cristina
hal.structure.identifierSimulation and Modeling of Adaptive Response for Therapeutics in Cancer [SMARTc]
dc.contributor.authorFANCIULLINO, Raphaëlle
hal.structure.identifierModélisation Mathématique pour l'Oncologie [MONC]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierMéthodes computationnelles pour la prise en charge thérapeutique en oncologie : Optimisation des stratégies par modélisation mécaniste et statistique [COMPO]
dc.contributor.authorBENZEKRY, Sébastien
hal.structure.identifierModélisation Mathématique pour l'Oncologie [MONC]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorPOIGNARD, Clair
dc.date.accessioned2024-04-04T02:41:52Z
dc.date.available2024-04-04T02:41:52Z
dc.date.issued2022-02
dc.identifier.issn0303-6812
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191189
dc.description.abstractEnUnderstanding the dynamics underlying fluid transport in tumour tissues is of fundamental importance to assess processes of drug delivery. Here, we analyse the impact of the tumour microscopic properties on the macroscopic dynamics of vascular and interstitial fluid flow by using formal asymptotic techniques.Here, we obtained different macroscopic continuum models that couple vascular and interstitial flows. The homogenization technique allows us to derive two macroscale tissue models of fluid flow that take into account the microscopic structure of the vessels and the interstitial tissue. Different regimes were derived according to the magnitude of the vessel wall permeability and the interstitial hydraulic conductivity. Importantly, we provide an analysis of the properties of the models and show the link between them. Numerical simulations were eventually performed to test the models and to investigate the impact of the microstructure on the fluid transport.Future applications of our models include their calibration with real imaging data to investigate the impact of the tumour microenvironment on drug delivery.
dc.language.isoen
dc.publisherSpringer
dc.subject.enTwo-scale homogenisation
dc.subject.enFluid flow in tumours
dc.subject.enInterstitial fluid pressure
dc.subject.enTumour microenvironment
dc.title.enMacro-scale models for fluid flow in tumour tissues: impact of microstructure properties
dc.typeArticle de revue
dc.identifier.doi10.1007/s00285-022-01719-1
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halSciences du Vivant [q-bio]/Cancer
bordeaux.journalJournal of Mathematical Biology
bordeaux.page27
bordeaux.volume84
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-02891573
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02891573v1
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