Cell cycle progression.

Abstract:

:In this paper we consider cell cycle models for which the transition operator for the evolution of birth mass density is a simple, linear dynamical system with a stochastic perturbation. The convolution model for a birth mass distribution is presented. Density functions of birth mass and tail probabilities in n-th generation are calculated by a saddle-point approximation method. With these probabilities, representing the probability of exceeding an acceptable mass value, we have more control over pathological growth. A computer simulation is presented for cell proliferation in the age-dependent cell cycle model. The simulation takes into account the fact that the age-dependent model with a linear growth is a simple linear dynamical system with an additive stochastic perturbation. The simulated data as well as the experimental data (generation times for mouse L) are fitted by the proposed convolution model.

journal_name

C R Biol

journal_title

Comptes rendus biologies

authors

Tyrcha J

doi

10.1016/j.crvi.2003.05.002

subject

Has Abstract

pub_date

2004-03-01 00:00:00

pages

193-200

issue

3

eissn

1631-0691

issn

1768-3238

pii

S1631-0691(04)00022-8

journal_volume

327

pub_type

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