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Problemy Analiza — Issues of Analysis, 2021, Volume 10(28), Issue 2, Pages 27–43
DOI: https://doi.org/10.15393/j3.art.2021.10030 (Mi pa322) 		 
Mathematical analysis of a model of age-cycle length structured cell population with quiescence

M. Boulanouar

LMCM-RSA, 22 Rue des Canadiens, Poitiers, 86000, France
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DOI: https://doi.org/10.15393/j3.art.2021.10030
Abstract: In this work, we model the dynamics of an Age-Cycle Length structured cell population. At each time, the cell population is divided into two interacting compartments: Proliferating cells and Quiescent cells. Each cell is then: Proliferating (Active) or Quiescent (Resting). We prove that this new Proliferation-Quiescence model is well posed.
Keywords: partial differential equations, semigroup of linear operators, structured cell population.
Funding agency
This work is supported by LMCM-RSA.
Received: 17.03.2021
Revised: 24.05.2021
Accepted: 29.05.2021
Bibliographic databases:
Document Type: Article
UDC: 517.968, 517.98, 51-75
MSC: 45K05, 47D06, 92C17
Language: English
Citation: M. Boulanouar, “Mathematical analysis of a model of age-cycle length structured cell population with quiescence”, Probl. Anal. Issues Anal., 10(28):2 (2021), 27–43
Citation in format AMSBIB
\Bibitem{Bou21}
\by M.~Boulanouar
\paper Mathematical analysis of a model of age-cycle length structured cell population with quiescence
\jour Probl. Anal. Issues Anal.
\yr 2021
\vol 10(28)
\issue 2
\pages 27--43
\mathnet{http://mi.mathnet.ru/pa322}
\crossref{https://doi.org/10.15393/j3.art.2021.10030}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000661490100003}
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