Проблемы анализа (Jun 2021)

MATHEMATICAL ANALYSIS OF A MODEL OFAGE-CYCLE LENGTH STRUCTURED CELLPOPULATION WITH QUIESCENCE

  • M. Boulanouar

DOI
https://doi.org/10.15393/j3.art.2021.10030
Journal volume & issue
Vol. 10(28), no. 2
pp. 27 – 43

Abstract

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In this work, we model the dynamics of an Age-CycleLength structured cell population. At each time, the cell populationis divided into two interacting compartments:Proliferating cellsandQuiescent cells. Each cell is then:Proliferating (Active)orQui-escent (Resting). We prove that this new Proliferation-Quiescencemodel is well posed.

Keywords