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

Content Provider	IEEE Xplore Digital Library
Author	Hori, Y. Tae-Hyoung Kim Hara, S.
Copyright Year	2009
Description	Author affiliation: School of Mechanical Engineering, College of Engineering, Chung-Ang University, Seoul 156-756, Korea (Tae-Hyoung Kim) \|\| Department of Information Physics and Computing, The University of Tokyo, 113-8656, Japan (Hori, Y.; Hara, S.)
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 Poincaré-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.
Starting Page	3521
Ending Page	3526
File Size	477900
Page Count	6
File Format	PDF
ISBN	9781424438716
ISSN	01912216
DOI	10.1109/CDC.2009.5400718
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-12-15
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Protein engineering Cells (biology) Eigenvalues and eigenfunctions Jacobian matrices Organisms Oscillators Differential equations Stability analysis Frequency Numerical simulation
Content Type	Text
Resource Type	Article

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