A model for membrane degradation using a gelatin invadopodia assay
| hal.structure.identifier | Modélisation Mathématique pour l'Oncologie [MONC] | |
| dc.contributor.author | CIAVOLELLA, Giorgia | |
| hal.structure.identifier | Institut Universitaire de Cancérologie [Sorbonne Université] [IUC] | |
| dc.contributor.author | FERRAND, Nathalie | |
| hal.structure.identifier | Institut Universitaire de Cancérologie [Sorbonne Université] [IUC] | |
| dc.contributor.author | SABBAH, Michèle | |
| hal.structure.identifier | Sorbonne Université [SU] | |
| hal.structure.identifier | Laboratoire Jacques-Louis Lions [LJLL (UMR_7598)] | |
| dc.contributor.author | PERTHAME, Benoît | |
| hal.structure.identifier | Istituto per le Applicazioni del Calcolo [Bari] [IAC] | |
| dc.contributor.author | NATALINI, Roberto | |
| dc.date.accessioned | 2024-04-04T02:30:07Z | |
| dc.date.available | 2024-04-04T02:30:07Z | |
| dc.date.issued | 2024-01-05 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190238 | |
| dc.description.abstractEn | One 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.iso | en | |
| dc.rights.uri | http://hal.archives-ouvertes.fr/licences/publicDomain/ | |
| dc.subject.en | Reaction-diffusion equations | |
| dc.subject.en | Finite difference methods | |
| dc.subject.en | Tumour degradation and invasion models | |
| dc.subject.en | Parameter estimation | |
| dc.subject.en | Sensitivity analysis | |
| dc.title.en | A model for membrane degradation using a gelatin invadopodia assay | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math] | |
| dc.description.sponsorshipEurope | Asymptotic approach to spatial and dynamical organizations | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-04446414 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-04446414v1 | |
| bordeaux.COinS | ctx_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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