Un modèle non-linéaire de prolifération cellulaire : extinction des cellules et invariance

Details Un modèle non-linéaire de prolifération cellulaire : extinction des cellules et invariance Un modèle non-linéaire de prolifération cellulaire : extinction des cellules et invariance

2009-04-16

arxiv.org/abs/0904.2471v1

Comptes Rendus Mathematique 336, 7 (2003) 559-564

Mathematics

Analysis of PDEs

Scientific paper

10.1016/S1631-073X(03)00125-0

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.

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