A model of proliferating cell populations with infinite cell cycle length: asymptotic behavior
type: Item
instance of: scholarly article
title: A model of proliferating cell populations with infinite cell cycle length: asymptotic behavior
zbMATH Open document ID: 1197.37108
published in: Acta Applicandae Mathematicae
publication date: 2010-05-19T00:00:00Z
review text: The author deals with a mathematical model of an age structured proliferating cell population in which each cell is distinguished by its age and its cell cycle length. The cell cycle length is considered as an inherited property determined at birth and can be infinite. He investigates the positivity and the irreducibility of the generated semigroup according to the positivity and the irreducibility of the boundary operator. He studies the spectral properties of the generator. And he estimated its spectral bound. He also describes the cellular profile by giving the asymptotic behavior of the generated semigroup.
Mathematics Subject Classification ID: 37N25
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 5709135
zbMATH Keywords: cell population dynamics
zbMATH Keywords: general boundary condition
zbMATH Keywords: semigroups
zbMATH Keywords: positivity
zbMATH Keywords: irreducibility
zbMATH Keywords: asymptotic behaviour
zbMATH Keywords: compactness
author: Mohamed Boulanouar
reviewed by: Xueyong Zhou
MaRDI profile type: Publication
full work available at URL: s10440-009-9496-3
OpenAlex ID: W2024239342
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DOI: 10.1007/S10440-009-9496-3
description: scientific article; zbMATH DE number 5709135