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Automatic Derivation of Nonlinear State Equations by Using Artificial Intelligence in Inverse Problem of Complex Systems

Research Project

Project/Area Number 13680449
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Intelligent informatics
Research InstitutionKYUSHU UNIVERSITY

Principal Investigator

OKAMOTO Masahiro  Faculty of Agriculture, Prof., 農学研究院, 教授 (40211122)

Project Period (FY) 2001 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2002: ¥1,100,000 (Direct Cost: ¥1,100,000)
Keywordsinverse problem / evolutional algorithm / complex system / genetic programming / inference system / nonlinear dynamics / automatic derivation system / generalized mass action law / 遺伝的アルゴリズム / 複雑系
Research Abstract

Estimation of the interaction mechanisms among system components by using experimentally observed dynamic responses (time-courses) of some of the system components is generally referred to as "inverse problem". Especially in complex systems such as chaos, only a slight difference in interaction mechanism or in initial value of a system component causes a drastic change in time-course responses of system components.
In this study, given experimentally observed time series data of system components, we have developed the inference system of interaction mechanism among system components based on evolutional algorithm (genetic programming, genetic algorithm). This system allows an automatic derivation of simultaneous differential equations based on generalized mass action law (GMA) which realize the experimentally observed time course data of system components. We have performed the validation of this sytem in the cases of two and three dimensional simultaneous nonlinear differential equations.

Report

(3 results)
  • 2002 Annual Research Report   Final Research Report Summary
  • 2001 Annual Research Report
  • Research Products

    (22 results)

All Other

All Publications (22 results)

  • [Publications] Ueda, T., Koga, N., Ono I., Okamoto, M.: "Application of Numerical Optimization Technique Based on Real-coded Genetic Algorithm to Inverse Problem in Biochemical Systems"Proc.of Genetic and Evolutionary Computation Conference(GECCO2002). 701-701 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Maki, Y.et al.: "Inference of Genetic Network Using the Expression Profile Time Course Data of Mouse P19 Cells"Genome Informatics. 13. 382-383 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Ueda, T., Ono, I., Okamoto, M.: "Development of System Identification Technique Based on Real-coded Genetic Algorithm"Genome Informatics. 13. 386-387 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 山田晃範, 上田尚学, 岡本正宏: "逆問題のための重みつき評価関数を用いた進化アルゴリズムによる数値最適化 手法の設計・開発"第15回自律分散システムシンポジウム資料. 189-194 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 平田勝利, 牧幸浩, 岡本正宏: "進化アルゴリズムを用いた非線形ネットワークの構造推定"第15回自律分散システムシンポジウム資料. 195-198 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 岡本正宏: "S-systemによる遺伝子ネットワ-クモデリング(「バイオブロセスシステムエンジニアリング](清水浩編集)pp.41-52)"シーエムシー出版. 309 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Ueda, T., Koga, N., Ono, I., Okamoto, M.: "Application of Numerical Optimization Technique Based on Real-coded Genetic Algorithm to Inverse Problem in Biochemical Systems"Proc. of Genetic and Evolutionary Computation Conference (GECCO2002). 701-701 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Maki, Y., Ueda, T., Okamoto, M., Uematsu, N., Inamura, K., Uchida, K., Takahashi, N., Eguchi, Y.: "Inference of Genetic Network Using the Expression Profile Time Course Data of Mouse P19 Cells"Genome Informatics. 13. 382-383 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Ueda, T., Ono, I., Okamoto, M.: "Development of System Identification Technique Based on Real-coded Genetic Algorithm"Genome Informatics. 13. 386-387 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Yamada, A., Ueda, T., Okamoto, M.: "Design of numerical optimization technique by evolutional algorithm with multi-objective function for an inverse problem"15th SICE Symposium on Decentralized Autonomous Systems. 189-194 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Hirata, K., Maki, Y., Okamoto, M.: "Inference of a nonlinear network structure by evolutional algorithm"15th SICE Symposium on Decentralized Autonomous Systems. 195-198 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Okamoto, M.: "Inference of gene network based on S-system representation ("Bioprocess system engineering" pp. 41-52)"CMC-Publishers, Inc.. amount of page 309. (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Ueda, T., Koga, N., Ono, I., Okamoto, M.: "Application of Numerical Optimization Technique Based on Real-coded Genetic Algorithm to Inverse Problem in Biochemical Systems"Proc. of Genetic and Evolutionary Computation Conference (GECCO2002). 701 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Maki, Y. et al.: "Inference of Genetic Network Using the Expression Profile Time Course Data of Mouse P19 Cells"Genome Informatics. 13. 382-383 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Ueda, T., Ono, I., Okamoto, M.: "Development of System Identification Technique Based on Real-coded Genetic Algorithm"Genome Informatics. 13. 386-387 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 山田晃範, 上田尚学, 岡本正宏: "逆問題のための重みつき評価関数を用いた進化アルゴリズムによる数値最適化手法の設計・開発"第15回自律分散システムシンポジウム資料. 189-194 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 平田勝利, 牧幸浩, 岡本正宏: "進化アルゴリズムを用いた非線形ネットワークの構造推定"第15回自律分散システムシンポジウム資料. 195-198 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 岡本正宏: "S-systemによる遺伝子ネットワークモデリング(「バイオプロセスシステムエンジニアリング](清水浩編集)pp. 41-52)"シーエムシー出版. 309 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Maki, Y. et al.: "Development of a system for the inference of large scale genetic networks"Pacific Symposium on Biocomputing '01. 446-458 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Ueda, T., Koga, N., Okamoto, M.: "Efficient numerical optimization technique based on real-coded genetic algorithm"Proc. of Intl. Workshop on Genome Informatics 2001. 451-453 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 岡本正宏: "バイオインフォマティクス研究における情報科学的解析の進展:遺伝子ネットワーク構築と代謝経路解析を例として"バイオサイエンスとインダストリー. 60・2. 83-88 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] Ueda, T., Koga, N., Ono, I., Okamoto, M.: "Efficient numerical optimization technique based on real-coded genetic algorithm for inverse problem"Proc. of 7th. Int. Symp. on Artificial Life and Robotics (AROB 7th '02). 1. 290-293 (2002)

    • Related Report
      2001 Annual Research Report

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Published: 2002-04-01   Modified: 2016-04-21  

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