A mathematical model describing cellular division with a proliferating phase duration depending on the maturity of cells
Date
2003-10-23
Authors
Adimy, Mostafa
Pujo-Menjouet, Laurent
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Structured population, Cell cycle, Stem cells, First order partial differential equation with delays, Non constant delay
Citation
Adimy, 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.
Rights
Attribution 4.0 International