One and two-phase cell cycle models

Authors

  • Katarzyna Pichor
  • Ryszard Rudnicki Institute of Mathematics Polish Academy of Sciences

DOI:

https://doi.org/10.11145/j.biomath.2019.05.261

Abstract

In this review paper we present deterministic and stochastic one and two-phase models of the cell cycle. The deterministic models are given by partial differential equations of the first order with time delay and space variable retardation.В The stochastic models are given by stochastic iterations orВ by piecewise deterministic Markov processes. We study asymptotic stability and sweeping of stochastic semigroups which describe the evolution of densities of these processes.В We also present some results concerning chaotic behaviour of models and relations between different types of models.

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Published

2019-06-01

Issue

Vol. 8 No. 1 (2019)

Section

Review Articles

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