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
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;
Conference_Titel :
Biomedical Engineering and Informatics (BMEI), 2010 3rd International Conference on
Conference_Location :
Yantai
Print_ISBN :
978-1-4244-6495-1
DOI :
10.1109/BMEI.2010.5639793
