Electronic Journal of Differential Equations,
Vol. 2003(2003), No. 107, pp. 1-14.

Title: A mathematical model describing cellular division with a
       proliferating phase duration depending on the maturity of cells

Authors: Mostafa Adimy  (Univ. de Pau, France)
         Laurent Pujo-Menjouet (McGill Univ., Montreal, Q., Canada)

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.
 
Submitted February 14, 2003. Published October 23, 2003.
Math Subject Classifications: 35F15, 35L60, 92C37, 92D25.
Key Words: Structured population; cell cycle; stem cells;
           first order partial differential equation with delays; 
           non constant delay.