DARRIGADE, Léo; LABARTHE, Simon; LAROCHE, Béatrice

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DARRIGADE, Léo
Dynamiques de populations multi-échelles pour des systèmes physiologiques [MUSCA]
Mathématiques et Informatique Appliquées du Génome à l'Environnement [Jouy-En-Josas] [MaIAGE]

LABARTHE, Simon
Pleiade, from patterns to models in computational biodiversity and biotechnology [PLEIADE]
Biodiversité, Gènes & Communautés [BioGeCo]
Mathématiques et Informatique Appliquées du Génome à l'Environnement [Jouy-En-Josas] [MaIAGE]

LAROCHE, Béatrice
Dynamiques de populations multi-échelles pour des systèmes physiologiques [MUSCA]
Mathématiques et Informatique Appliquées du Génome à l'Environnement [Jouy-En-Josas] [MaIAGE]

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Document de travail - Pré-publication

Ce document a été publié dans

2023-12-11

Résumé en anglais

Mathematical models of biological tissues are a promising tool for multi-scale data integration, computational experiments and system biology approaches. While some data and insights are rooted at the cellular level, macroscopic mechanisms emerge and are observed at the tissue scale, rendering tissue modeling an inherently multi-scale process. As a consequence, tissue models can be broadly categorized as either individual-based or continuous population-based. In this paper, we first introduce a generic individual-based model of epithelial tissue including the main regulation processes such as cell division, differentiation, migration and death, together with cell-cell mechanical interactions. The coupling with diffusing molecules is also considered. This model is a measure-valuedpiecewise-deterministic Markov processes, coupled with reaction-diffusion PDEs. The well-posedness of the model is assessed and large population deterministic limit is rigorously derived. Finally, numerical experiments are conducted: this model is applied to the context of epithelial tissues in the intestinal crypt and the convergence towards the deterministic model are numerically illustrated.< Réduire

Mots clés en anglais

biological tissue model

individual-based model (IBM)

large population asymptotics

Origine

Importé de hal

Unités de recherche

BioGeCo (Biodiversité Gènes & Communautés) - UMR 1202