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Alexandre Genadot
Researcher at University of Bordeaux
Publications - 29
Citations - 197
Alexandre Genadot is an academic researcher from University of Bordeaux. The author has contributed to research in topics: Markov process & Piecewise. The author has an hindex of 5, co-authored 28 publications receiving 164 citations. Previous affiliations of Alexandre Genadot include Pierre-and-Marie-Curie University & French Institute for Research in Computer Science and Automation.
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Piecewise deterministic Markov process — recent results
TL;DR: A short overview of recent results on a specific class of Markov process: the Piecewise Deterministic Markov Processes (PDMPs) and a short overview on numerical methods used for simulating PDMPs.
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Probabilistic and Piecewise Deterministic models in Biology
Bertrand Cloez,Renaud Dessalles,Alexandre Genadot,Florent Malrieu,Aline Marguet,Romain Yvinec +5 more
TL;DR: Piecewise Deterministic Markov Processes, 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 and give new interesting challenges from the theoretical point of view.
Journal ArticleDOI
Averaging for a fully coupled piecewise-deterministic Markov process in infinite dimensions
TL;DR: In this paper, the generalized Hodgkin-Huxley model was applied to model the propagation of an action potential along the axon of a neuron at the scale of ion channels.
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Piecewise deterministic Markov process - recent results
TL;DR: In this paper, a short overview of recent results on a specific class of Markov process: the Piecewise Deterministic Markov Processes (PDMPs) is given. But the authors do not consider how to simulate PDMPs.
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Averaging for a Fully-Coupled Piecewise Deterministic Markov Process in Infinite Dimension
TL;DR: In this article, the generalized Hodgkin-Huxley model was applied to model the propagation of an action potential along the axon of a neuron at the scale of ion channels.