Adimy, MostafaPujo-Menjouet, Laurent2021-01-272021-01-272003-10-23Adimy, M., & Pujo-Menjouet, L. (2003). A mathematical model describing cellular division with a proliferating phase duration depending on the maturity of cells. <i>Electronic Journal of Differential Equations, 2003</i>(107), pp. 1-14.1072-6691https://hdl.handle.net/10877/13158In this paper, we investigate a linear population model of cells that are capable of simultaneous proliferation and maturation. We consider the case when the time required for a cell to divide depends on its maturity. This model is described by first order partial differential system with a retardation of the maturation variable and a time delay depending on this maturity. Both delays are due to cell replication.Text14 pages1 file (.pdf)enAttribution 4.0 InternationalStructured populationCell cycleStem cellsFirst order partial differential equation with delaysNon constant delayA mathematical model describing cellular division with a proliferating phase duration depending on the maturity of cellsArticle