A NONLINEAR STRUCTURED POPULATION-MODEL OF TUMOR-GROWTH WITH QUIESCENCE

被引：120

作者：

GYLLENBERG, M ^{[1
]}

WEBB, GF ^{[1
]}

机构：

[1] VANDERBILT UNIV,DEPT MATH,NASHVILLE,TN 37235

来源：

JOURNAL OF MATHEMATICAL BIOLOGY | 1990年 / 28卷 / 06期

关键词：

Gompertzian growth; Nonlinear asynchronous exponential growth; Positive semigroup;

D O I：

10.1007/BF00160231

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A nonlinear structured cell population model of tumor growth is considered. The model distinguishes between two types of cells within the tumor: proliferating and quiescent. Within each class the behavior of individual cells depends on cell size, whereas the probabilities of becoming quiescent and returning to the proliferative cycle are in addition controlled by total tumor size. The asymptotic behavior of solutions of the full nonlinear model, as well as some linear special cases, is investigated using spectral theory of positive simigroup of operators. © 1990 Springer-Verlag.

引用

页码：671 / 694

页数：24

共 35 条

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