On continuous time version of two-phase cell cycle model of Tyrcha

• Autorzy: Paweł Zwoleński
• Języki publikacji: EN

Abstrakty

EN

We consider a model of two-phase cell cycle in a maturity-structured cellular population, which consists of a system of first order linear partial differential equations (transport equations). The model is based on similar biological assumptions as models of Lasota-Mackey, Tyson-Hannsgen and Tyrcha. We examine behavior of the solutions of the system along characteristics, give conditions for existence of invariant density, and compare results with outcomes of generational model.

Słowa kluczowe

EN

cell cycle; transport equations; invariant density; Markov operators

• Wydawca: Polish Mathematical Society
• Czasopismo: Mathematica Applicanda
• Rocznik: 2013
• Tom: 41
• Numer: 1

Daty

wydano

2013

online

2013-03-09

Twórcy

autor

Paweł Zwoleński

Identyfikatory

DOI

10.14708/ma.v41i1.392