Mostafa Adimy & Laurent Pujo-Menjouet
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.
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| Mostafa Adimy |
Departement de Mathematiques Appliquees
I.P.R.A., Universite de Pau
Avenue de l'universite, 64000
| Laurent Pujo-Menjouet |
Department of Physiology, Physics and Mathematics
Centre for Nonlinear dynamics, McGill University
3655 Drummond Street
Montreal, Quebec, Canada H3G 1Y6
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