A mathematical model describing cellular division with a proliferating phase duration depending on the maturity of cells
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In 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.
CitationAdimy, M., & Pujo-Menjouet, L. (2003). A mathematical model describing cellular division with a proliferating phase duration depending on the maturity of cells. Electronic Journal of Differential Equations, 2003(107), pp. 1-14.
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