Graphical and analytic criteria for the existence of protein level oscillations in cyclic gene regulatory networks

Yutaka Hori, Tae Hyoung Kim, Shinji Hara

Research output: Chapter in Book/Report/Conference proceedingConference contribution

8 Citations (Scopus)

Abstract

This paper investigates the criteria for the existence of protein level oscillations in a class of gene regulatory networks, where a nonlinear differential equation model is considered to analyze its dynamical behavior. There are two steps to derive such criteria: We first employ a Poincaŕe-Bendixson type theorem to restrict the class of solution trajectories, and then carry out a local stability analysis of linearized systems with a generalized frequency variable. Then, our main results, graphical and its equivalent analytic criteria which are easily applicable for the networks consisting of arbitrary number of genes, are derived. Their distinctive features are also verified through numerical simulations.

Original languageEnglish
Title of host publicationProceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Pages3521-3526
Number of pages6
DOIs
Publication statusPublished - 2009
Externally publishedYes
Event48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 - Shanghai, China
Duration: 2009 Dec 152009 Dec 18

Other

Other48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
CountryChina
CityShanghai
Period09/12/1509/12/18

Fingerprint

Gene Regulatory Network
Genes
Oscillation
Proteins
Protein
Differential equations
Trajectories
Local Stability
Dynamical Behavior
Nonlinear Differential Equations
Stability Analysis
Computer simulation
Trajectory
Gene
Numerical Simulation
Arbitrary
Theorem
Graphics
Class
Model

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

Cite this

Hori, Y., Kim, T. H., & Hara, S. (2009). Graphical and analytic criteria for the existence of protein level oscillations in cyclic gene regulatory networks. In Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 (pp. 3521-3526). [5400718] https://doi.org/10.1109/CDC.2009.5400718

Graphical and analytic criteria for the existence of protein level oscillations in cyclic gene regulatory networks. / Hori, Yutaka; Kim, Tae Hyoung; Hara, Shinji.

Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. 2009. p. 3521-3526 5400718.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Hori, Y, Kim, TH & Hara, S 2009, Graphical and analytic criteria for the existence of protein level oscillations in cyclic gene regulatory networks. in Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009., 5400718, pp. 3521-3526, 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009, Shanghai, China, 09/12/15. https://doi.org/10.1109/CDC.2009.5400718
Hori Y, Kim TH, Hara S. Graphical and analytic criteria for the existence of protein level oscillations in cyclic gene regulatory networks. In Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. 2009. p. 3521-3526. 5400718 https://doi.org/10.1109/CDC.2009.5400718
Hori, Yutaka ; Kim, Tae Hyoung ; Hara, Shinji. / Graphical and analytic criteria for the existence of protein level oscillations in cyclic gene regulatory networks. Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. 2009. pp. 3521-3526
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