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).
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页码：439 / 456
页数：18
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