Probalistic 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 [30], are a very general class of Markov processes and are being increasingly popular in biological applications. They also give new interest- ing 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 mod- els 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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Conference papers
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Submitted on : Tuesday, September 26, 2017 - 9:48:19 PM
Last modification on : Wednesday, January 23, 2019 - 2:39:30 PM

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  • HAL Id : hal-01595098, version 1
  • PRODINRA : 397544

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Bertrand Cloez, Renaud Dessalles, Alexandre Genadot, Florent Malrieu, Aline Marguet, et al.. Probalistic and piecewise deterministic models in biology. Journées MAS 2016. Phénomènes complexes et hétérogènes, Aug 2016, Grenoble, France. pp.1-19. ⟨hal-01595098⟩

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