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Journal articles
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.
Cited literature [71 references]
https://hal.archives-ouvertes.fr/hal-01549687
Contributor : Romain Yvinec <>
Submitted on : Thursday, June 29, 2017 - 9:09:25 AM
Last modification on : Friday, February 19, 2021 - 4:10:03 PM
Long-term archiving on: : Thursday, January 18, 2018 - 1:23:19 AM
Contributor : Romain Yvinec <>
Submitted on : Thursday, June 29, 2017 - 9:09:25 AM
Last modification on : Friday, February 19, 2021 - 4:10:03 PM
Long-term archiving on: : Thursday, January 18, 2018 - 1:23:19 AM
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pdmp_mas_2016_preprint.pdf
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