Probabilistic and Piecewise Deterministic models in Biology
hal.structure.identifier | Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie [MISTEA] | |
dc.contributor.author | CLOEZ, Bertrand | |
hal.structure.identifier | Mathématiques et Informatique Appliquées du Génome à l'Environnement [Jouy-En-Josas] [MaIAGE] | |
dc.contributor.author | DESSALLES, Renaud | |
hal.structure.identifier | Quality control and dynamic reliability [CQFD] | |
dc.contributor.author | GENADOT, Alexandre | |
hal.structure.identifier | Laboratoire de Mathématiques et Physique Théorique [LMPT] | |
hal.structure.identifier | Fédération de recherche Denis Poisson [FDP] | |
dc.contributor.author | MALRIEU, Florent | |
hal.structure.identifier | Centre de Mathématiques Appliquées de l'Ecole polytechnique [CMAP] | |
dc.contributor.author | MARGUET, Aline | |
hal.structure.identifier | Physiologie de la reproduction et des comportements [Nouzilly] [PRC] | |
dc.contributor.author | YVINEC, Romain | |
dc.date.accessioned | 2024-04-04T03:09:54Z | |
dc.date.available | 2024-04-04T03:09:54Z | |
dc.date.issued | 2017 | |
dc.identifier.issn | 2267-3059 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193645 | |
dc.description.abstractEn | We present recent results on Piecewise Deterministic Markov Processes (PDMPs), involved in biological modeling. PDMPs, first introduced in the probabilistic literature by Davis (1984), are a very general class of Markov processes and are being increasingly popular in biological applications. They also give new interesting challenges from the theoretical point of view. We give here different examples on the long time behavior of switching Markov models applied to population dynamics, on uniform sampling in general branching models applied to structured population dynamic, on time scale separation in integrate-and-fire models used in neuroscience, and, finally, on moment calculus in stochastic models of gene expression. | |
dc.language.iso | en | |
dc.publisher | EDP Sciences | |
dc.title.en | Probabilistic and Piecewise Deterministic models in Biology | |
dc.type | Actes de congrès/Proceedings | |
dc.identifier.doi | 10.1051/proc/201760225 | |
dc.subject.hal | Mathématiques [math]/Probabilités [math.PR] | |
dc.subject.hal | Sciences du Vivant [q-bio] | |
dc.identifier.arxiv | 1706.09163 | |
bordeaux.journal | ESAIM: Proceedings and Surveys | |
bordeaux.page | 225-245 | |
bordeaux.volume | 60 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-01549687 | |
hal.version | 1 | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-01549687v1 | |
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