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논문 기본 정보
- 자료유형
- 학술대회자료
- 저자정보
- 발행연도
- 2009.8
- 수록면
- 2,525 - 2,530 (6page)
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초록· 키워드
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In this paper, we derive an existence condition of periodic oscillationsin cyclic gene regulatory networks, of which the dynamical behavior is described by nonlinear differential equations. For this purpose, we first point out that change of the equilibrium point with respect to biochemical parameters is important for comprehensive analysis, and show the properties which the equilibrium point should satisfy. Then, by employing the seproperties, we derive an analytic condition for the existence of periodic oscillationsincy clicgene regulatory networks where genes have homogeneous dynamics Compared to preceding studies, our condition has the following distinctive features: (i) it is analytically written only interms of the system parameters,(ii) it is applicable for cyclicgene regulatory networks consisting of any number of genes. Thus, biological inter pretation of the result is easily obtained, and, infact, it is concluded that cyclic generegulatory networks with homogeneous genedynamics tend to have periodicos cillations as the number of genes gets large. Finally, we discuss the case of cyclicgene regulatory networks with heterogeneous genedynamics.
목차
Abstract
1.INTRODUCTION
2.MODEL DESCRIPTION AND PROBLEM FOR MULATION
3.PROPERTIES ON THE EQUILIBRIUM POINT
4.OSCILLATION SINGENE REGULATORY NETWORKS WITH HOMOGENEOUS GENE DYNAMICS
5.DISCUSSION ON ROBUSTNESS
6.CONCLUSION
REFERENCES
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