Title :
Feedback control of the genetic networks with time delay
Author :
Zhu, Yajuan ; Song, Kai ; Li, Ping ; Wang, Hui
Author_Institution :
Div. of Bioeng., Nat. Univ. of Singapore, Singapore
Abstract :
In this paper, the modeling and oscillation of the genetic network are studied. The circadian rhythm model consists of three Michaelis-Menten equations. With singular perturbation theory, the system can be transferred to a two-dimension one, and the period oscillation is caused by the positive and negative feedback loops in the biochemical networks. The effects of time delay on the system stability are also analyzed. The simulations are presented to show our theoretical results.
Keywords :
biochemistry; delays; feedback; genetics; physiological models; singularly perturbed systems; stability; Michaelis-Menten equations; biochemical network; circadian rhythm model; genetic networks; negative feedback loops; positive feedback loops; signal transduction; singular perturbation theory; system stability; time delay; Biological system modeling; Biomedical engineering; Circadian rhythm; Delay effects; Electrical equipment industry; Feedback control; Feedback loop; Genetics; Organisms; Oscillators;
Conference_Titel :
Intelligent Control and Automation, 2004. WCICA 2004. Fifth World Congress on
Print_ISBN :
0-7803-8273-0
DOI :
10.1109/WCICA.2004.1343796
