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

Paweł Zwoleński. "On continuous time version of two-phase cell cycle model of Tyrcha." Mathematica Applicanda 41.1 (2013): null. <http://eudml.org/doc/293430>.

@article{PawełZwoleński2013,
abstract = {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.},
author = {Paweł Zwoleński},
journal = {Mathematica Applicanda},
keywords = {cell cycle; transport equations; invariant density; Markov operators},
language = {eng},
number = {1},
pages = {null},
title = {On continuous time version of two-phase cell cycle model of Tyrcha},
url = {http://eudml.org/doc/293430},
volume = {41},
year = {2013},
}

TY - JOUR
AU - Paweł Zwoleński
TI - On continuous time version of two-phase cell cycle model of Tyrcha
JO - Mathematica Applicanda
PY - 2013
VL - 41
IS - 1
SP - null
AB - 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.
LA - eng
KW - cell cycle; transport equations; invariant density; Markov operators
UR - http://eudml.org/doc/293430
ER -