Geodesic
Mathematical analysis of a model of age-cycle length structured cell population with quiescence
Problemy analiza, Tome 10 (2021) no. 2, pp. 27-43

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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. 
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     author = {M. Boulanouar},
     title = {Mathematical analysis of a model of age-cycle length structured cell population with quiescence},
     journal = {Problemy analiza},
     pages = {27--43},
     publisher = {mathdoc},
     volume = {10},
     number = {2},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PA_2021_10_2_a2/}
}
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M. Boulanouar. Mathematical analysis of a model of age-cycle length structured cell population with quiescence. Problemy analiza, Tome 10 (2021) no. 2, pp. 27-43. http://geodesic.mathdoc.fr/item/PA_2021_10_2_a2/