Piecewise deterministic Markov processes in biological models
Probability
2015-12-08 v1 Populations and Evolution
Abstract
We present a short introduction into the framework of piecewise deterministic Markov processes. We illustrate the abstract mathematical setting with a series of examples related to dispersal of biological systems, cell cycle models, gene expression, physiologically structured populations, as well as neural activity. General results concerning asymptotic properties of stochastic semigroups induced by such Markov processes are applied to specific examples.
Cite
@article{arxiv.1512.02093,
title = {Piecewise deterministic Markov processes in biological models},
author = {Ryszard Rudnicki and Marta Tyran-Kaminska},
journal= {arXiv preprint arXiv:1512.02093},
year = {2015}
}
Comments
in: Semigroup of Operators - Theory and Applications, J. Banasiak et al. (eds.), Springer Proceedings in Mathematics & Statistics 113, (2015), pp. 235-255