Global Dynamics of a Breast Cancer Competition Model

被引：23
作者：
Abernathy, Kristen [1 ]
Abernathy, Zachary [1 ]
Baxter, Arden [2 ]
Stevens, Meghan [3 ]
机构：
[1] Winthrop Univ, 701 Oakland Ave, Rock Hill, SC 29733 USA
[2] Rollins Coll, 1000 Holt Ave, Winter Pk, FL 32789 USA
[3] Drake Univ, 2507 Univ Ave, Des Moines, IA 50311 USA
来源：
DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS | 2020年 / 28卷 / 04期
基金：
美国国家科学基金会; 美国国家卫生研究院;
关键词：
Breast cancer; Ordinary differential equations; Tumor-immune dynamics; Estrogen; Global dynamics; TUMOR CLEARANCE CONDITIONS; MATHEMATICAL-MODEL; CHEMOTHERAPY; LOCALIZATION; SETS;
D O I：
10.1007/s12591-017-0346-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present a system of five ordinary differential equations which consider population dynamics among cancer stem cells, tumor cells, and healthy cells. Additionally, we consider the effects of excess estrogen and the body's natural immune response on the aforementioned cell populations. Employing a variety of analytical methods, we study the global dynamics of the full system, along with various submodels. We find sufficient conditions on parameter values to ensure cancer persistence in the absence of immune cells, and cancer eradication when an immune response is included. We conclude with a discussion on the biological implications of the resulting global dynamics.
引用
收藏
页码：791 / 805
页数：15
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