Necessary and sufficient conditions for asynchronous exponential growth in age structured cell populations with quiescence

被引：47

作者：

Arino, O

Sanchez, E

Webb, GF

机构：

[1] UPM,ETSI IND,DEPT MATEMAT,MADRID 28006,SPAIN

[2] VANDERBILT UNIV,DEPT MATH,NASHVILLE,TN 37240

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1997年 / 215卷 / 02期

关键词：

D O I：

10.1006/jmaa.1997.5654

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：499 / 513

页数：15

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