DocumentCode
534699
Title
Periodic oscillations for a model of gene expression with delay
Author
Zhuang, Kejun ; Zhu, Hailong
Author_Institution
Sch. of Stat. & Appl. Math., Anhui Univ. of Finance & Econ., Bengbu, China
Volume
6
fYear
2010
fDate
16-18 Oct. 2010
Firstpage
2423
Lastpage
2425
Abstract
In this paper, a delayed model of gene expression with positive feedback loop is investigated. The model takes the form of delay differential equations. By choosing the time delay as bifurcation parameter, small amplitude periodic solutions are obtained due to Hopf bifurcation. Furthermore, global existence of bifurcating periodic solutions is established with the help of global bifurcation theory.
Keywords
DNA; bifurcation; delays; differential equations; genetics; macromolecules; proteins; Hopf bifurcation; bifurcating periodic solution; bifurcation parameter; delay differential equations; gene expression delayed model; global bifurcation theory; periodic oscillations; positive feedback loop; small amplitude periodic solution; Bifurcation; Biological system modeling; Delay; Delay effects; Mathematical model; Oscillators;
fLanguage
English
Publisher
ieee
Conference_Titel
Biomedical Engineering and Informatics (BMEI), 2010 3rd International Conference on
Conference_Location
Yantai
Print_ISBN
978-1-4244-6495-1
Type
conf
DOI
10.1109/BMEI.2010.5639793
Filename
5639793
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