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 originate at the cellular level, macroscopic mechanisms emerge and are observed at the tissue scale, making tissue modeling an inherently multi-scale process. Consequently, tissue models can be broadly categorized into individual-based or continuous population-based. In this paper, we first introduce a generic individual-based model of biological tissue including the main regulation processes such as cell division, differentiation, migration and death, along with cell-cell mechanical interactions. This cell population interacts with diffusing molecules, which are consumed or produced by cells and, in turn, regulate cellular behavior. This model is a measure-valued, piecewise-deterministic Markov process, coupled with reaction-diffusion PDEs. We establish the well-posedness of the model and rigorously derive its large-population deterministic limit.< Réduire

Mots clés en anglais

Biological tissue model

Individual-based model

Large population asymptotics

Interacting cells

Piecewise deterministic Markov process

Origine

Importé de hal

Unités de recherche

BioGeCo (Biodiversité Gènes & Communautés) - UMR 1202