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A model for membrane degradation using a gelatin invadopodia assay

hal.structure.identifierModélisation Mathématique pour l'Oncologie [MONC]
dc.contributor.authorCIAVOLELLA, Giorgia
hal.structure.identifierInstitut Universitaire de Cancérologie [Sorbonne Université] [IUC]
dc.contributor.authorFERRAND, Nathalie
hal.structure.identifierInstitut Universitaire de Cancérologie [Sorbonne Université] [IUC]
dc.contributor.authorSABBAH, Michèle
hal.structure.identifierSorbonne Université [SU]
hal.structure.identifierLaboratoire Jacques-Louis Lions [LJLL (UMR_7598)]
dc.contributor.authorPERTHAME, Benoît
hal.structure.identifierIstituto per le Applicazioni del Calcolo [Bari] [IAC]
dc.contributor.authorNATALINI, Roberto
dc.date.accessioned2024-04-04T02:30:07Z
dc.date.available2024-04-04T02:30:07Z
dc.date.issued2024-01-05
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190238
dc.description.abstractEnOne of the most crucial and lethal characteristics of solid tumors is represented by the increased ability of cancer cells to migrate and invade other organs during the so-called metastatic spread. This is allowed thanks to the production of matrix metalloproteinases (MMPs), enzymes capable of degrading a type of collagen abundant in the basal membrane separating the epithelial tissue from the connective one. In this work, we employ a synergistic experimental and mathematical modelling approach to explore the invasion process of tumor cells. A mathematical model composed of reaction-diffusion equations describing the evolution of the tumor cells density on a gelatin substrate, MMPs enzymes concentration and the degradation of the gelatin is proposed. This is completed with a calibration strategy. We perform a sensitivity analysis and explore a parameter estimation technique both on synthetic and experimental data in order to find the optimal parameters that describe the in vitro experiments. A comparison between numerical and experimental solutions ends the work.
dc.language.isoen
dc.rights.urihttp://hal.archives-ouvertes.fr/licences/publicDomain/
dc.subject.enReaction-diffusion equations
dc.subject.enFinite difference methods
dc.subject.enTumour degradation and invasion models
dc.subject.enParameter estimation
dc.subject.enSensitivity analysis
dc.title.enA model for membrane degradation using a gelatin invadopodia assay
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]
dc.description.sponsorshipEuropeAsymptotic approach to spatial and dynamical organizations
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-04446414
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-04446414v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2024-01-05&rft.au=CIAVOLELLA,%20Giorgia&FERRAND,%20Nathalie&SABBAH,%20Mich%C3%A8le&PERTHAME,%20Beno%C3%AEt&NATALINI,%20Roberto&rft.genre=preprint


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