CLOEZ, Bertrand; DESSALLES, Renaud; GENADOT, Alexandre; MALRIEU, Florent; MARGUET, Aline; YVINEC, Romain

doi:10.1051/proc/201760225

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CLOEZ, Bertrand
Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie [MISTEA]

DESSALLES, Renaud
Mathématiques et Informatique Appliquées du Génome à l'Environnement [Jouy-En-Josas] [MaIAGE]

GENADOT, Alexandre
Quality control and dynamic reliability [CQFD]

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ESAIM: Proceedings and Surveys. 2017, vol. 60, p. 225-245

EDP Sciences

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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.< Leer menos

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Probabilistic and Piecewise Deterministic models in Biology

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