Applications of stochastic semigroups to cell cycle models
Probability
2018-07-30 v2
Abstract
We consider a generational and continuous-time two-phase model of the cell cycle. The first model is given by a stochastic operator, and the second by a piecewise deterministic Markov process. In the second case we also introduce a stochastic semigroup which describes the evolution of densities of the process. We study long-time behaviour of these models. In particular we prove theorems on asymptotic stability and sweeping. We also show the relations between both models.
Cite
@article{arxiv.1806.00091,
title = {Applications of stochastic semigroups to cell cycle models},
author = {Katarzyna Pichór and Ryszard Rudnicki},
journal= {arXiv preprint arXiv:1806.00091},
year = {2018}
}