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Deterministic limit of a stochastic individual-based model of biological tissue interacting with diffusing chemicals

hal.structure.identifierDynamiques de populations multi-échelles pour des systèmes physiologiques [MUSCA]
hal.structure.identifierMathématiques et Informatique Appliquées du Génome à l'Environnement [Jouy-En-Josas] [MaIAGE]
dc.contributor.authorDARRIGADE, Léo
hal.structure.identifierPleiade, from patterns to models in computational biodiversity and biotechnology [PLEIADE]
hal.structure.identifierBiodiversité, Gènes & Communautés [BioGeCo]
hal.structure.identifierMathématiques et Informatique Appliquées du Génome à l'Environnement [Jouy-En-Josas] [MaIAGE]
dc.contributor.authorLABARTHE, Simon
hal.structure.identifierDynamiques de populations multi-échelles pour des systèmes physiologiques [MUSCA]
hal.structure.identifierMathématiques et Informatique Appliquées du Génome à l'Environnement [Jouy-En-Josas] [MaIAGE]
dc.contributor.authorLAROCHE, Béatrice
dc.date.issued2023-12-11
dc.description.abstractEnMathematical 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.
dc.language.isoen
dc.rights.urihttp://creativecommons.org/licenses/by/
dc.subject.enBiological tissue model
dc.subject.enIndividual-based model
dc.subject.enLarge population asymptotics
dc.subject.enInteracting cells
dc.subject.enPiecewise deterministic Markov process
dc.title.enDeterministic limit of a stochastic individual-based model of biological tissue interacting with diffusing chemicals
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]
dc.subject.halSciences du Vivant [q-bio]
hal.identifierhal-04336174
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-04336174v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2023-12-11&rft.au=DARRIGADE,%20L%C3%A9o&LABARTHE,%20Simon&LAROCHE,%20B%C3%A9atrice&rft.genre=preprint


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