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.
Type de document :
Pré-publication, Document de travail
Proceedings of the journées MAS 2016, session Probabilistic and Piecewise Deterministic models in.. 2017
Liste complète des métadonnées

Littérature citée [73 références]  Voir  Masquer  Télécharger

https://hal.archives-ouvertes.fr/hal-01549687
Contributeur : Romain Yvinec <>
Soumis le : jeudi 29 juin 2017 - 09:09:25
Dernière modification le : samedi 1 juillet 2017 - 01:10:08

Fichier

pdmp_mas_2016_preprint.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-01549687, version 1
  • ARXIV : 1706.09163

Citation

Bertrand Cloez, Renaud Dessalles, Alexandre Genadot, Florent Malrieu, Aline Marguet, et al.. Probabilistic and Piecewise Deterministic models in Biology. Proceedings of the journées MAS 2016, session Probabilistic and Piecewise Deterministic models in.. 2017. 〈hal-01549687〉

Partager

Métriques

Consultations de
la notice

235

Téléchargements du document

32