Algebraic Approaches to Underdetermined Experiments in Biology

• Item type: Trans(1)
• 公開日: 2010-09-14
• タイトル: Algebraic Approaches to Underdetermined Experiments in Biology
• タイトル / 言語: en
• タイトル: Algebraic Approaches to Underdetermined Experiments in Biology
• 言語: eng
• キーワード / 主題Scheme: Other
• キーワード / 主題: Original Paper
• 資源タイプ / 資源タイプ識別子: http://purl.org/coar/resource_type/c_6501
• 資源タイプ: journal article
• 著者所属: Kyushu University
• 著者所属: Kyoto University
• 著者所属: University of Tsukuba
• 著者所属: University of Tsukuba
• 著者所属: University of Tsukuba
• 著者所属(英): en
• 著者所属(英): Kyushu University
• 著者所属(英): en
• 著者所属(英): Kyoto University
• 著者所属(英): en
• 著者所属(英): University of Tsukuba
• 著者所属(英): en
• 著者所属(英): University of Tsukuba
• 著者所属(英): en
• 著者所属(英): University of Tsukuba
• 著者名: Hiroshi, Yoshida; Kinji, Kimura; Naoki, Yoshida; Junko, Tanaka; Yoshihiro, Miwa
• 著者名(英): Hiroshi, Yoshida; Kinji, Kimura; Naoki, Yoshida; Junko, Tanaka; Yoshihiro, Miwa
• 論文抄録 / 内容記述タイプ: Other
• 論文抄録 / 内容記述: We sometimes meet an experiment in which its rate constants cannot be determined in this experiment only; in this case, it is called an underdetermined experiment. One of methods to overcome underdetermination is to combine results of multiple experiments. Multiple experiments give rise to a large number of parameters and variables to analyze, and usually even have a complicated solution with multiple solutions, which situation is unknown to us beforehand. These two difficulties: underdetermination and multiple solutions, lead to confusion as to whether rate constants can intrinsically be determined through experiment or not. In order to analyze such experiments, we use ‘prime ideal decomposition' to decompose a solution into simpler solutions. It is, however, hard to decompose a set of polynomials with a large number of parameters and variables. Exemplifying a bio-imaging problem, we propose one tip and one technique using ‘resultant' from a biological viewpoint.
• 論文抄録(英) / 内容記述タイプ: Other
• 論文抄録(英) / 内容記述: We sometimes meet an experiment in which its rate constants cannot be determined in this experiment only; in this case, it is called an underdetermined experiment. One of methods to overcome underdetermination is to combine results of multiple experiments. Multiple experiments give rise to a large number of parameters and variables to analyze, and usually even have a complicated solution with multiple solutions, which situation is unknown to us beforehand. These two difficulties: underdetermination and multiple solutions, lead to confusion as to whether rate constants can intrinsically be determined through experiment or not. In order to analyze such experiments, we use ‘prime ideal decomposition' to decompose a solution into simpler solutions. It is, however, hard to decompose a set of polynomials with a large number of parameters and variables. Exemplifying a bio-imaging problem, we propose one tip and one technique using ‘resultant' from a biological viewpoint.
• 書誌レコードID / 収録物識別子タイプ: NCID
• 書誌レコードID / 収録物識別子: AA12177013
• 書誌情報: IPSJ Transactions on Bioinformatics（TBIO）; 巻 3, p. 62-69, 発行日 2010-09-14
• ISSN / 収録物識別子タイプ: ISSN
• ISSN / 収録物識別子: 1882-6679
• 出版者 / 言語: ja
• 出版者: 情報処理学会