A dynamic p53-mdm2 model with distributed delay

被引：0
|
作者：
Horhat, Raluca [1 ]
Horhat, Raul Florin [1 ]
机构：
[1] Victor Babes Univ Med & Pharm, Timisoara 300041, Romania
来源：
10TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES (ICNPAA 2014) | 2014年 / 1637卷
关键词：
delay differential equation; stability; Hopf bifurcation; P53; MDM2; STABILITY; P53; BIFURCATION;
D O I：
10.1063/1.4904606
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Specific activator and repressor transcription factors which bind to specific regulator DNA sequences, play an important role in gene activity control. Interactions between genes coding such transcripion factors should explain the different stable or sometimes oscillatory gene activities characteristic for different tissues. In this paper, the dynamic P53-Mdm2 interaction model with distributed delays is investigated. Both weak and Dirac kernels are taken into consideration. For Dirac case, the Hopf bifurcation is investigated. Some numerical examples are finally given for justifying the theoretical results.
引用
收藏
页码：413 / 421
页数：9
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