Algebraic Approaches to Underdetermined Experiments in Biology

• Yoshida Hiroshi

  Kyushu University

• Kimura Kinji

  Kyoto University

• Yoshida Naoki

  University of Tsukuba

• Tanaka Junko

  University of Tsukuba

• Miwa Yoshihiro

  University of Tsukuba

抄録

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.

収録刊行物

• Information and Media Technologies

  Information and Media Technologies 5 (4), 1218-1225, 2010

  Information and Media Technologies 編集運営会議

詳細情報

• CRID: 1390282680240372736
• NII論文ID: 130000418482
• DOI: 10.11185/imt.5.1218
• ISSN: 18810896
• 本文言語コード: en
• データソース種別:
  • JaLC
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可