Probabilistic and Piecewise Deterministic models in Biology

Abstract : 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.
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Pré-publication, Document de travail
Proceedings of the journées MAS 2016, session Probabilistic and Piecewise Deterministic models i.. 2017
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Soumis le : jeudi 29 juin 2017 - 09:09:25
Dernière modification le : jeudi 14 décembre 2017 - 09:20:02

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pdmp_mas_2016_preprint.pdf
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  • HAL Id : hal-01549687, version 1
  • ARXIV : 1706.09163

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Bertrand Cloez, Renaud Dessalles, Alexandre Genadot, Florent Malrieu, Aline Marguet, et al.. Probabilistic and Piecewise Deterministic models in Biology. Proceedings of the journées MAS 2016, session Probabilistic and Piecewise Deterministic models i.. 2017. 〈hal-01549687〉

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