Probabilistic and Piecewise Deterministic models in Biology
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Publication:4606439
DOI10.1051/PROC/201760225zbMATH Open1383.92011arXiv1706.09163OpenAlexW2727016199MaRDI QIDQ4606439
Author name not available (Why is that?)
Publication date: 7 March 2018
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1706.09163
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