Hopf bifurcation analysis for a mathematical model of P53-Mdm2 interaction

被引：2
|
作者：
Neamtu, Mihaela [1 ]
Horhat, Raul Florin [2 ,3 ]
Opris, Dumitru [4 ]
机构：
[1] W Univ Timisoara, Fac Econ, Dept Econ Informat Math & Stat, Timisoara 300115, Romania
[2] Univ Med & Pharm, Dept Biophys, Timisoara 300041, Romania
[3] Univ Med & Pharm, Dept Med Informat, Timisoara 300041, Romania
[4] W Univ Timisoara, Dept Appl Math, Fac Math, Timisoara 300223, Romania
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2008年 / 18卷 / 01期
关键词：
delay differential equation; stability; Hopf bifurcation; P53; Mdm2;
D O I：
10.1142/S0218127408020306
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we analyze a simple mathematical model which describes the interaction between proteins P53 and Mdm2. For the stationary state we discuss the local stability and the existence of a Hopf bifurcation. We study the direction and stability of the bifurcating periodic solutions by choosing the delay as a bifurcation parameter. Finally, we will offer some numerical simulations and present our conclusions.
引用
收藏
页码：275 / 283
页数：9
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