Un mod\`ele non-lin\'eaire de prolif\'eration cellulaire : extinction des cellules et invariance
Analysis of PDEs
2009-04-17 v1
Abstract
This paper analyses a nonlinear age-maturity structured system which arises as a model of the blood cellular production in the bone marrow. The resulting model is a nonlinear first-order partial differential equation in which there is a distributed temporal delay and a retardation in the maturation variable. We prove that uniqueness of solutions depends only on small maturity cells (stem cells) and we give a result of invariance.
Keywords
Cite
@article{arxiv.0904.2471,
title = {Un mod\`ele non-lin\'eaire de prolif\'eration cellulaire : extinction des cellules et invariance},
author = {Mostafa Adimy and Fabien Crauste},
journal= {arXiv preprint arXiv:0904.2471},
year = {2009}
}