書誌事項
- タイトル別名
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- Robust Stability Analysis for Cyclic Gene Regulatory Networks
- カンジョウ イデンシ セイギョ ネットワーク ノ ロバスト アンテイセイ カイセキ
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説明
This paper investigates robust stability analysis for gene regulatory networks with cyclic interconnections where dynamics of each gene expression has a certain degree of uncertainty. By considering a class of perturbation, we treat the heterogeneity of gene's dynamics, and derive necessary and sufficient conditions for robust stability. To this end, we first show a graphical condition for robust stability based on a robustness analysis scheme for large-scale systems presented in a previous work. A key feature of the graphical condition is that robust stability is systematically confirmed by drawing elementary shapes that are determined by network structure, gene's dynamics and its uncertainty bounds. Moreover, it is shown that the criterion can be greatly simplified by using monotone properties of gene's dynamics. This reduction enables us to derive an analytic condition for robust stability, which is a main result of this paper. Finally, the results are interpreted from a biological viewpoint, and they are verified by numerical simulations.
収録刊行物
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- 計測自動制御学会論文集
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計測自動制御学会論文集 48 (6), 318-325, 2012
公益社団法人 計測自動制御学会
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詳細情報 詳細情報について
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- CRID
- 1390001204503290112
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- NII論文ID
- 10030771616
- 130004549634
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- NII書誌ID
- AN00072392
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- BIBCODE
- 2012TSICE..48..318O
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- ISSN
- 18838189
- 04534654
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- NDL書誌ID
- 023853779
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- 本文言語コード
- en
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- 資料種別
- journal article
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- 使用不可