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Mathematical analysis of adaptive behavior in biological systems

Research Project

Project/Area Number 20740055
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionKyoto University

Principal Investigator

KEIICHI Ueda  Kyoto University, 数理解析研究所, 助教 (00378960)

Project Period (FY) 2008 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2008: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywords真正粘菌変形体 / 2足歩行モデル / 反応拡散系 / 遷移ダイナミクス / 移動運動 / 環境適応性 / 2足歩行 / 数理モデル / 数理モデリング / 環境適応
Research Abstract

Adaptive behaviors observed in the true slime mold and bipedal locomotion systems have been studied. Recently, it has been reported that even single-celled organisms appear to be indecisive when confronted with an obstacle. In this project, the phenomenological model equation was proposed, and found that an on-off transition between refractory and activated state of chemical reactivity taking place at the leading edge plays a key role in the emergence of adaptive behavior. By investigating numerically the bipedal walking systems, it was found that the system shows an adaptive behavior by governing the dynamics of knee and hip joint by walking velocity.

Report

(3 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report
  • Research Products

    (19 results)

All 2010 2009 2008

All Journal Article (14 results) (of which Peer Reviewed: 8 results) Presentation (5 results)

  • [Journal Article] Stabilizing bipedal walking on posts through multiple constraints2010

    • Author(s)
      Kunishige Ohgane, Kei-Ichi Ueda
    • Journal Title

      Phys. Rev. E 81

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Stabilizing bipedal walking on posts through multiple constraints2010

    • Author(s)
      Kunishige Ohgane
    • Journal Title

      Physical Review E 81

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Pulse dynamics for reaction-diffusion systems in the neighborhood of codimension two singularity2009

    • Author(s)
      Shin-Ichiro Ei, Yasumasa Nishiura, Kei-Ichi Ueda
    • Journal Title

      Journal of Math-for-industry 1

      Pages: 91-95

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Adaptation of walking pattern generated by reinitializing strategy2009

    • Author(s)
      大金邦成, 上田肇一
    • Journal Title

      数理解析研究所講究録 1633

      Pages: 117-118

    • Related Report
      2009 Final Research Report
  • [Journal Article] 反応拡散系に対する大域的分岐構造の数値計算法とその応用2009

    • Author(s)
      矢留雅亮, 長山雅晴, 上田肇一
    • Journal Title

      数理解析研究所講究録 1633

      Pages: 39-61

    • Related Report
      2009 Final Research Report
  • [Journal Article] Pulse dynamics for reaction-diffusion systems in the neighborhood of codimension two singularity2009

    • Author(s)
      Shin-Ichiro Ei
    • Journal Title

      Journal of Math-for-industry 1

      Pages: 91-95

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 反応拡散系に対する大域的分岐構造の数値計算法とその応用2009

    • Author(s)
      矢留雅亮
    • Journal Title

      数理解析研究所講究録 1633

      Pages: 39-61

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Adaptation of walking pattern generated by reinitializing strategy2009

    • Author(s)
      Kunishige Ohgane
    • Journal Title

      数理解析研究所講究録 1633

      Pages: 117-118

    • Related Report
      2009 Annual Research Report
  • [Journal Article] 2足歩行における環境変化に対する姿勢制御2008

    • Author(s)
      上田肇一, 大金邦成
    • Journal Title

      2足歩行における環境変化に対する姿勢制御 1616

      Pages: 128-136

    • Related Report
      2009 Final Research Report
  • [Journal Article] BULLETIN of the Institute of Mathematics Academia2008

    • Author(s)
      Masaaki Yadome, Kei-Ichi Ueda, Takashi Teramoto, Masaharu Nagayama, Yasumasa Nishiura
    • Journal Title

      Sinica New Series 3(4)

      Pages: 585-602

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Instability-induced hierarchy in bipedal locomotion2008

    • Author(s)
      Kunishige Ohgane, Kei-Ichi Ueda
    • Journal Title

      Phys. Rev. E 77(5)

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Instability-induced hierarchy in bipedal locomotion2008

    • Author(s)
      Kunishige Ohgane
    • Journal Title

      Physical Review E 77(5)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A nested sequence of transitions for collision dynamics in dissipative systems2008

    • Author(s)
      Masaaki Yadome
    • Journal Title

      BULLETIN of the Institute of Mathematics Academia Sinica New Series 3(4)

      Pages: 585-602

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 二足歩行システムにおける歩行速度に依存した姿勢制御2008

    • Author(s)
      上田肇一
    • Journal Title

      数理解析研究所講究録 1616

      Pages: 128-136

    • Related Report
      2008 Annual Research Report
  • [Presentation] 大域的分岐図を利用したパルスダイナミクスの解析2010

    • Author(s)
      上田肇一
    • Organizer
      日本数学会年会、2010年3月27日
    • Place of Presentation
      慶應義塾大学
    • Year and Date
      2010-03-27
    • Related Report
      2009 Final Research Report
  • [Presentation] 大域的分岐図を利用したパルスダイナミクスの解析2010

    • Author(s)
      上田肇一
    • Organizer
      日本数学会年会
    • Place of Presentation
      慶應義塾大学
    • Year and Date
      2010-03-27
    • Related Report
      2009 Annual Research Report
  • [Presentation] 2足歩行における環境変化に対する姿勢制御2009

    • Author(s)
      上田肇一
    • Organizer
      日本応用数理学会2009年度年会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-30
    • Related Report
      2009 Annual Research Report 2009 Final Research Report
  • [Presentation] 真正粘菌変形体の運動と環境適応2009

    • Author(s)
      上田肇一
    • Organizer
      日本数学会
    • Place of Presentation
      東京大学SSS
    • Year and Date
      2009-03-28
    • Related Report
      2009 Final Research Report
  • [Presentation] 真正粘菌変形体の運動と環境適応2009

    • Author(s)
      上田肇一
    • Organizer
      日本数学会
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-28
    • Related Report
      2008 Annual Research Report

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Published: 2008-04-01   Modified: 2016-04-21  

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