TY - GEN
T1 - Oscillation pattern analysis for gene regulatory networks with negative cyclic feedback
AU - Hori, Yutaka
AU - Hara, Shinji
PY - 2010
Y1 - 2010
N2 - Negative cyclic feedback has been considered to be a core circuit to produce sustained oscillations in gene regulatory networks. In this paper, we investigate quantitative properties of the periodic oscillations observed in cyclic gene regulatory networks with negative feedback, and we provide analytic estimates of frequency, phase and amplitude. We employ the harmonic balance method, which is one of the frequency domain techniques to examine nonlinear oscillatory behaviors by approximating with bias and first order harmonic components. We then solve the harmonic balance equations by utilizing the structure of gene expression dynamics. The presented estimates are analytically written only in terms of essential biochemical parameters proposed in authors' previous work, and hence they can be easily applied to large-scale cyclic gene regulatory networks involving any number of genes. Our results are demonstrated with illustrative numerical examples, and some novel biological insights are presented.
AB - Negative cyclic feedback has been considered to be a core circuit to produce sustained oscillations in gene regulatory networks. In this paper, we investigate quantitative properties of the periodic oscillations observed in cyclic gene regulatory networks with negative feedback, and we provide analytic estimates of frequency, phase and amplitude. We employ the harmonic balance method, which is one of the frequency domain techniques to examine nonlinear oscillatory behaviors by approximating with bias and first order harmonic components. We then solve the harmonic balance equations by utilizing the structure of gene expression dynamics. The presented estimates are analytically written only in terms of essential biochemical parameters proposed in authors' previous work, and hence they can be easily applied to large-scale cyclic gene regulatory networks involving any number of genes. Our results are demonstrated with illustrative numerical examples, and some novel biological insights are presented.
UR - http://www.scopus.com/inward/record.url?scp=79953136532&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=79953136532&partnerID=8YFLogxK
U2 - 10.1109/CDC.2010.5717982
DO - 10.1109/CDC.2010.5717982
M3 - Conference contribution
AN - SCOPUS:79953136532
SN - 9781424477456
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 5798
EP - 5803
BT - 2010 49th IEEE Conference on Decision and Control, CDC 2010
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 49th IEEE Conference on Decision and Control, CDC 2010
Y2 - 15 December 2010 through 17 December 2010
ER -