BACKWARD BIFURCATION IN A MATHEMATICAL MODEL OF PI3K/AKT PATHWAYS IN ACUTE MYELOID LEUKEMIA

被引：1
|
作者：
Adi, Yudi Ari [1 ,2 ]
Aryati, Lina [2 ]
Adi-Kusumo, Fajar [2 ]
Hardianti, Mardiah Suci [3 ]
机构：
[1] Univ Ahmad Dahlan, Fac Appl Sci & Technol, Dept Math, Yogyakarta 55191, Indonesia
[2] Univ Gadjah Mada, Fac Math & Nat Sci, Dept Math, Yogyakarta 55281, Indonesia
[3] Univ Gadjah Mada, Fac Med Publ Hlth & Nursing, Dept Internal Med, Yogyakarta 55281, Indonesia
来源：
ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES | 2019年 / 21卷 / 02期
关键词：
AML; mathematical model; backward bifurcation;
D O I：
10.17654/DE021020183
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates a mathematical model of the PI3K/AKT pathway in acute myeloid leukemia (AML) in the absence of protein dephosphorylation and AKT degradation. We perform a bifurcation analysis by using the bifurcation method, which is based on the use of the center manifold theory. We give an explicit condition for the existence of backward and forward bifurcations. Numerical simulations are presented to support analytical results and then discussed from both the mathematical and the medical perspectives.
引用
收藏
页码：183 / 199
页数：17
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