Skip to Main content Skip to Navigation
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.
Document type :
Journal articles
Complete list of metadata

Cited literature [71 references]  Display  Hide  Download
Contributor : Romain Yvinec Connect in order to contact the contributor
Submitted on : Thursday, June 29, 2017 - 9:09:25 AM
Last modification on : Friday, May 6, 2022 - 2:22:08 PM
Long-term archiving on: : Thursday, January 18, 2018 - 1:23:19 AM


Files produced by the author(s)



Bertrand Cloez, Renaud Dessalles, Alexandre Genadot, Florent Malrieu, Aline Marguet, et al.. Probabilistic and Piecewise Deterministic models in Biology. ESAIM: Proceedings and Surveys, EDP Sciences, 2017, 60, pp.225-245. ⟨10.1051/proc/201760225⟩. ⟨hal-01549687⟩



Record views


Files downloads