Abstract
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.
| Original language | English |
|---|---|
| Title of host publication | 2010 49th IEEE Conference on Decision and Control, CDC 2010 |
| Pages | 5798-5803 |
| Number of pages | 6 |
| DOIs | |
| Publication status | Published - 2010 |
| Externally published | Yes |
| Event | 2010 49th IEEE Conference on Decision and Control, CDC 2010 - Atlanta, GA, United States Duration: 2010 Dec 15 → 2010 Dec 17 |
Other
| Other | 2010 49th IEEE Conference on Decision and Control, CDC 2010 |
|---|---|
| Country | United States |
| City | Atlanta, GA |
| Period | 10/12/15 → 10/12/17 |
Fingerprint
ASJC Scopus subject areas
- Control and Systems Engineering
- Modelling and Simulation
- Control and Optimization
Cite this
Oscillation pattern analysis for gene regulatory networks with negative cyclic feedback. / Hori, Yutaka; Hara, Shinji.
2010 49th IEEE Conference on Decision and Control, CDC 2010. 2010. p. 5798-5803 5717982.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
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
SP - 5798
EP - 5803
BT - 2010 49th IEEE Conference on Decision and Control, CDC 2010
ER -