講演抄録/キーワード |
講演名 |
2007-12-19 16:05
A Lyapunov Approach to A Necessary Condition for Circadian Oscillations ○Hiroshi Ito(Kyushu Inst. of Tech.) NLP2007-115 |
抄録 |
(和) |
This paper investigates the dynamics of circadian oscillations. For this purpose, a new Lyapunov methodology is introduced to stability analysis of biological and biochemical systems made of networks of scalar dissipative systems. Since each scalar variable describing a substance naturally involves nonlinear autonomous and interactive dynamics in the network, the dissipativity is usually asymmetric with respect to the balance point. This paper shows how to make use of input-to-state stability (ISS) and integral input-to-state stability (iISS) characterizations of subsystems in estimating the behavior of the whole network. The most unique feature is the explicit construction of a Lyapunov function of the whole system. This paper illustrates the Lyapunov-type analytical approach by determining the necessary ranges of parameters for maintaining oscillations of a circadian model in the cells of Drosophila. |
(英) |
This paper investigates the dynamics of circadian oscillations. For this purpose, a new Lyapunov methodology is introduced to stability analysis of biological and biochemical systems made of networks of scalar dissipative systems. Since each scalar variable describing a substance naturally involves nonlinear autonomous and interactive dynamics in the network, the dissipativity is usually asymmetric with respect to the balance point. This paper shows how to make use of input-to-state stability (ISS) and integral input-to-state stability (iISS) characterizations of subsystems in estimating the behavior of the whole network. The most unique feature is the explicit construction of a Lyapunov function of the whole system. This paper illustrates the Lyapunov-type analytical approach by determining the necessary ranges of parameters for maintaining oscillations of a circadian model in the cells of Drosophila. |
キーワード |
(和) |
非線形動的システム / 積分入力状態安定性 / リアプノフ関数 / 概日リズム / / / / |
(英) |
Nonlinear systems / Integral input-to-state stability / Lyapunov functions / Circadian oscillations / / / / |
文献情報 |
信学技報, vol. 107, no. 399, NLP2007-115, pp. 37-42, 2007年12月. |
資料番号 |
NLP2007-115 |
発行日 |
2007-12-12 (NLP) |
ISSN |
Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 |
著作権に ついて |
技術研究報告に掲載された論文の著作権は電子情報通信学会に帰属します.(許諾番号:10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
PDFダウンロード |
NLP2007-115 |