MARKOV SEMIGROUPS AND STABILITY OF THE CELL MATURITY DISTRIBUTION-Reference-Cited by-同舟云学术

MARKOV SEMIGROUPS AND STABILITY OF THE CELL MATURITY DISTRIBUTION

Published:2000-03 Issue:01 Volume:08 Page:69-94
ISSN:0218-3390
Container-title:Journal of Biological Systems
language:en
Short-container-title:J. Biol. Syst.

Author:

RUDNICKI RYSZARD¹²,PICHÓR KATARZYNA²

Affiliation:

1. Institute of Mathematics, Polish Academy of Sciences, Staromiejska 8/6, 40-013 Katowice, Poland Institute of Mathematics, Poland

2. Silesian University, Bankowa 14, 40-007 Katowice, Poland, Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland

Abstract

A model of the maturity-structured cell population is considered. This model is described by a partial differential equation with a transformed argument. Using the theory of Markov semigroups we establish a new criterion for asymptotic stability of such equations.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Ecology,Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Ecology

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218339000000067

Reference21 articles.

1. Comparison of Approaches to Modeling of Cell Population Dynamics

2. Cell Growth and Division

3. On the adjoint semigroup and some problems in the theory of approximation

4. On the stability of the cell size distribution

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