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

页码：263 / 278

页数：16

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