CIAVOLELLA, Giorgia; FERRAND, Nathalie; SABBAH, Michèle; PERTHAME, Benoît; NATALINI, Roberto

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CIAVOLELLA, Giorgia
Modélisation Mathématique pour l'Oncologie [MONC]

FERRAND, Nathalie
Institut Universitaire de Cancérologie [Sorbonne Université] [IUC]

SABBAH, Michèle
Institut Universitaire de Cancérologie [Sorbonne Université] [IUC]

Langue

Document de travail - Pré-publication

Ce document a été publié dans

2024-01-05

Résumé en anglais

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.< Réduire

Mots clés en anglais

Reaction-diffusion equations

Finite difference methods

Tumour degradation and invasion models

Parameter estimation

Sensitivity analysis

URI

https://oskar-bordeaux.fr/handle/20.500.12278/190238

Projet Européen

Asymptotic approach to spatial and dynamical organizations

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251