ON A MATHEMATICAL MODEL OF TUMOR GROWTH BASED ON CANCER STEM CELLS

被引：11
|
作者：
Ignacio Tello, J. [1 ]
机构：
[1] Univ Politecn Madrid, Dept Matemat Aplicada, EUI Informat, Madrid 28031, Spain
来源：
MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2013年 / 10卷 / 01期
关键词：
Cancer steam cells; free boundary problems; stability;
D O I：
10.3934/mbe.2013.10.263
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We consider a simple mathematical model of tumor growth based on cancer stem cells. The model consists of four hyperbolic equations of first order to describe the evolution of different subpopulations of cells: cancer stem cells, progenitor cells, differentiated cells and dead cells. A fifth equation is introduced to model the evolution of the moving boundary. The system includes non-local terms of integral type in the coefficients. Under some restrictions in the parameters we show that there exists a unique homogeneous steady state which is stable.
引用
收藏
页码：263 / 278
页数：16
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