書誌事項
- タイトル別名
-
- Positive Quadratic System Modeling Based on Singular Perturbation
- トクイセツドウ ニ ヨル ポジティブ 2ジ システム モデリング
この論文をさがす
説明
Our previous study proposed a positive quadratic system representation for molecular interaction in a cell, including a signal transduction pathway and a gene regulatory network, and also presented a method for estimating a positive invariant set depending on the initial state. As an extension towards wider applications of this approach, this paper proposes a system representation called here a singularly perturbed positive quadratic system, and shows that every positive rational system, which is used as a mathematical model expressing biological behavior, can be approximately represented by a quasi-steady state system of a singularly perturbed positive quadratic system. In addition, we prove that the singularly perturbed positive quadratic system preserves stability at an equilibrium point of the positive rational system.
収録刊行物
-
- 計測自動制御学会論文集
-
計測自動制御学会論文集 53 (3), 251-259, 2017
公益社団法人 計測自動制御学会
- Tweet
詳細情報 詳細情報について
-
- CRID
- 1390001204510770816
-
- NII論文ID
- 130005450293
-
- NII書誌ID
- AN00072392
-
- ISSN
- 18838189
- 04534654
-
- NDL書誌ID
- 028072278
-
- 本文言語コード
- ja
-
- データソース種別
-
- JaLC
- NDL
- Crossref
- CiNii Articles
- KAKEN
-
- 抄録ライセンスフラグ
- 使用不可