Thumbnail
Access Restriction
Subscribed

Author Takada, M. ♦ Hori, Y. ♦ Hara, S.
Source IEEE Xplore Digital Library
Content type Text
Publisher Institute of Electrical and Electronics Engineers, Inc. (IEEE)
File Format PDF
Copyright Year ©2010
Language English
Subject Domain (in DDC) Technology ♦ Engineering & allied operations ♦ Other branches of engineering
Subject Keyword Oscillators ♦ Delay effects ♦ Proteins ♦ Analytical models ♦ Degradation ♦ Biological system modeling
Abstract In this paper, we present analytic criteria for the existence of oscillations in gene regulatory networks with cyclic structure. In particular, inherent time delays in transcription, translation and translocation process are explicitly treated, and the effects of such time delays are quantitatively revealed. We first show that local instability of the unique equilibrium state results in oscillations of protein concentrations based on the Poincaré-Bendixson theorem for cyclic time delay systems. Then, a scheme of local instability analysis for large-scale time delay systems is introduced, and the analytic criteria for the existence of oscillations are derived. The developed criteria can be applied to cyclic gene regulatory networks consisting of any number of genes, and they are expressed only in terms of biochemical parameters, which lead to fruitful biological insight.
Description Author affiliation: Department of Mathematical Engineering and Information Physics, School of Engineering, The University of Tokyo, 113-8656, Japan (Takada, M.) || Department of Information Physics and Computing, The University of Tokyo, 113-8656, Japan (Hori, Y.; Hara, S.)
ISBN 9781424453627
ISSN 10851992
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research ♦ Reading
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2010-09-08
Publisher Place Japan
Rights Holder Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Size (in Bytes) 451.76 kB
Page Count 6
Starting Page 830
Ending Page 835


Source: IEEE Xplore Digital Library