Asymptotic behavior of a singular transport equation modelling cell division

被引：0

作者：

Adimy, M

Pujo-Menjouet, L

机构：

[1] Univ Pau & Pays Adour, Dept Math Appliquees, F-64000 Pau, France

[2] McGill Univ, Dept Physiol, Montreal, PQ H3G 1Y6, Canada

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2003年 / 3卷 / 03期

关键词：

structured population; cell cycle; first order partial differential equation with delays; stem cells; delay; aplastic anemia; instability;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper analyses the behavior of the solutions of a model of cells that are capable of simultaneous proliferation and maturation. This model is described by a first-order singular partial differential system with a retardation of the maturation variable and a time delay. Both delays are due to cell replication. We prove that uniqueness and asymptotic behavior of solutions depend only on cells with small maturity (stem cells).

引用

页码：439 / 456

页数：18

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