On the stability of a maturity structured model of cellular proliferation
Analysis of PDEs
2009-04-17 v1 Cell Behavior
Tissues and Organs
Abstract
We analyse the asymptotic behaviour of a nonlinear mathematical model of cellular proliferation which describes the production of blood cells in the bone marrow. This model takes the form of a system of two maturity structured partial differential equations, with a retardation of the maturation variable and a time delay depending on this maturity. We show that the stability of this system depends strongly on the behaviour of the immature cells population. We obtain conditions for the global stability and the instability of the trivial solution.
Keywords
Cite
@article{arxiv.0904.2492,
title = {On the stability of a maturity structured model of cellular proliferation},
author = {Mostafa Adimy and Fabien Crauste and Laurent Pujo-Menjouet},
journal= {arXiv preprint arXiv:0904.2492},
year = {2009}
}