Evaluation of circadian clock model based on orbital stability

Takamich Hinohara; Kenko Uchida

doi:10.1109/SICE.2007.4421192

Evaluation of circadian clock model based on orbital stability

Takamich Hinohara^*, Kenko Uchida

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

The interactions among the components of biological systems, which are DNA, RNA and proteins, create specific cell functions. Recently, many works try to understand mechanism of the interactions from dynamical systems viewpoints, and for this problem, concepts and results in control engineering are expected to play significant role. However, the biological systems are generally nonlinear and complex, and are difficult objects of analysis and synthesis. In this paper, we propose an evaluation method, which is based on orbital stability analysis, of identifying important parts of nonlinear systems that have periodic orbits such as circadian rhythms or cell cycle control, and apply the method to a circadian rhythm model for Drosophila proposed by Leloup and Goldbeter (1998).

Original language	English
Title of host publication	Proceedings of the SICE Annual Conference
Pages	1348-1352
Number of pages	5
DOIs	https://doi.org/10.1109/SICE.2007.4421192
Publication status	Published - 2007
Event	SICE(Society of Instrument and Control Engineers)Annual Conference, SICE 2007 - Takamatsu Duration: 2007 Sept 17 → 2007 Sept 20

Other

Other	SICE(Society of Instrument and Control Engineers)Annual Conference, SICE 2007
City	Takamatsu
Period	07/9/17 → 07/9/20

Keywords

Circadian rhythm
Modeling
Orbital stability

ASJC Scopus subject areas

Engineering(all)

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10.1109/SICE.2007.4421192

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title = "Evaluation of circadian clock model based on orbital stability",

abstract = "The interactions among the components of biological systems, which are DNA, RNA and proteins, create specific cell functions. Recently, many works try to understand mechanism of the interactions from dynamical systems viewpoints, and for this problem, concepts and results in control engineering are expected to play significant role. However, the biological systems are generally nonlinear and complex, and are difficult objects of analysis and synthesis. In this paper, we propose an evaluation method, which is based on orbital stability analysis, of identifying important parts of nonlinear systems that have periodic orbits such as circadian rhythms or cell cycle control, and apply the method to a circadian rhythm model for Drosophila proposed by Leloup and Goldbeter (1998).",

keywords = "Circadian rhythm, Modeling, Orbital stability",

author = "Takamich Hinohara and Kenko Uchida",

year = "2007",

doi = "10.1109/SICE.2007.4421192",

language = "English",

isbn = "4907764286",

pages = "1348--1352",

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TY - GEN

T1 - Evaluation of circadian clock model based on orbital stability

AU - Hinohara, Takamich

AU - Uchida, Kenko

PY - 2007

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N2 - The interactions among the components of biological systems, which are DNA, RNA and proteins, create specific cell functions. Recently, many works try to understand mechanism of the interactions from dynamical systems viewpoints, and for this problem, concepts and results in control engineering are expected to play significant role. However, the biological systems are generally nonlinear and complex, and are difficult objects of analysis and synthesis. In this paper, we propose an evaluation method, which is based on orbital stability analysis, of identifying important parts of nonlinear systems that have periodic orbits such as circadian rhythms or cell cycle control, and apply the method to a circadian rhythm model for Drosophila proposed by Leloup and Goldbeter (1998).

AB - The interactions among the components of biological systems, which are DNA, RNA and proteins, create specific cell functions. Recently, many works try to understand mechanism of the interactions from dynamical systems viewpoints, and for this problem, concepts and results in control engineering are expected to play significant role. However, the biological systems are generally nonlinear and complex, and are difficult objects of analysis and synthesis. In this paper, we propose an evaluation method, which is based on orbital stability analysis, of identifying important parts of nonlinear systems that have periodic orbits such as circadian rhythms or cell cycle control, and apply the method to a circadian rhythm model for Drosophila proposed by Leloup and Goldbeter (1998).

KW - Circadian rhythm

KW - Modeling

KW - Orbital stability

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SN - 9784907764289

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BT - Proceedings of the SICE Annual Conference

T2 - SICE(Society of Instrument and Control Engineers)Annual Conference, SICE 2007

Y2 - 17 September 2007 through 20 September 2007

ER -

Evaluation of circadian clock model based on orbital stability

Abstract

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Keywords

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