Necessary and sufficient conditions for asynchronous exponential growth in age structured cell populations with quiescence
Necessary and sufficient conditions for asynchronous exponential growth in age structured cell populations with quiescence
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DOI：
10.1006/jmaa.1997.5654
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发表时间：
1997-11-15
影响因子：
1.3
通讯作者：
Webb, GF
中科院分区：
文献类型：
--
作者：
Arino, O;Sanchez, E;Webb, GF
分析了年龄结构细胞群体的线性模型。种群分为增殖和静止区室。建立了种群呈现异步指数增长的渐近行为的充分必要条件。该模型被分析为一个半群的线性算子，这是最终紧凑和不可约。(C)北京：科学出版社.
A linear model on age structured cell population is analyzed. The population is divided into proliferating and quiescent compartments. Necessary and sufficient conditions are established for the population to exhibit the asymptotic behavior of asynchronous exponential growth. The model is analyzed as a semigroup of linear operators which is shown to be eventually compact and irreducible. (C) 1997 Academic Press.