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2012 Fiscal Year Final Research Report

Mathematical analysis of transient pattern dynamics in Physarum polycephalum

Research Project

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Project/Area Number 22740064
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionUniversity of Toyama (2011-2012)
Kyoto University (2010)

Principal Investigator

UEDA Keiichi  富山大学, 大学院・理工学研究部(理学), 准教授 (00378960)

Project Period (FY) 2010 – 2012
Keywords反応拡散系 / 真正粘菌変形体 / 数理モデル / 環境適応性 / 細胞運動 / 遷移ダイナミクス
Research Abstract

The survival of an organism can depend upon the direction in which it decides to move in response to changes in external conditions. In this project, we proposed mathematical models to elucidate mathematical mechanism of chemical reaction network for adaptive behavior. It was found that the proposed model describes a physicochemical mechanism of coupling between the local modulation of frequency and the global transport of protoplasmic mass. The decision process was clarified from a rheological point of view.

  • Research Products

    (15 results)

All 2013 2012 2011 2010

All Journal Article (7 results) (of which Peer Reviewed: 5 results) Presentation (8 results)

  • [Journal Article] A mathematical mechanism for instabilities in stripe formation on growing domains2012

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

      Physica D

      Volume: 241 Pages: 37-59

    • DOI

      DOI:10.1016/j.physd.2011.09.016

    • Peer Reviewed
  • [Journal Article] Chaotic motion of propagating pulses in the Gray-Scott model, Masaaki Yadome2011

    • Author(s)
      Kei-Ichi Ueda, Masaharu Nagayama
    • Journal Title

      Physical Review E

      Volume: 83 Pages: 056207

    • DOI

      DOI:10.1103/PhysRevE.83.056207

    • Peer Reviewed
  • [Journal Article] Mathematical model for contemplative amoeboid locomotion2011

    • Author(s)
      Kei-Ichi Ueda, Seiji Takagi, Yasumasa Nishiura and Toshiyuki Nakagaki
    • Journal Title

      Physical Review E

      Volume: 83 Pages: 021916

    • DOI

      DOI:10.1103/PhysRevE.83.021916

    • Peer Reviewed
  • [Journal Article] Pinned fronts in heterogeneous media of jump type2011

    • Author(s)
      Peter van Heijster, Arjen Doelman, Tasso J Kaper, Yasumasa Nishiura and Kei-Ichi Ueda
    • Journal Title

      Nonlinearity

      Volume: 24 Pages: 127-157

    • DOI

      DOI:10.1088/0951-7715/24/1/007

    • Peer Reviewed
  • [Journal Article] 真正粘菌変形体の環境適応性2011

    • Author(s)
      上田 肇一, 高木 清二, 中垣 俊之, 西浦 廉政
    • Journal Title

      物性研究

      Volume: 96(1) Pages: 93-94

  • [Journal Article] 上田 肇一, 高木 清二, 中垣 俊之2011

    • Author(s)
      真正粘菌変形体の環境適応行動の数理モデル
    • Journal Title

      数理解析研究所講究録

      Volume: 1751 Pages: 109-112

  • [Journal Article] Numerical approach to transient dynamics of oscillatory pulses in a bistable reaction-diffusion system2010

    • Author(s)
      Masaharu Nagayama, Kei-ichi Ueda and Masaaki Yadome
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: 27 Pages: 295-322

    • DOI

      DOI:10.1007/s13160-010-0015-8

    • Peer Reviewed
  • [Presentation] 自己修復機能を有するループ探索システム2013

    • Author(s)
      上田肇一
    • Organizer
      非線形現象の数値シミュレーションと解析2013
    • Place of Presentation
      北海道大学理学部
    • Year and Date
      2013-03-09
  • [Presentation] 自己修復機能を有するループ探索システム2012

    • Author(s)
      上田肇一
    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      龍谷大学
    • Year and Date
      2012-12-21
  • [Presentation] A mathematical model of state-dependent phase resetting properties of alpha rhythm in the human brain2012

    • Author(s)
      Keiichi Ueda, Yasumasa Nishiura, Yoko Yamaguchi and Keiichi Kitajo
    • Organizer
      Dynamic Brain Forum
    • Place of Presentation
      hotel El Parador, Carmona, スペイン
    • Year and Date
      2012-09-04
  • [Presentation] 真正粘菌変形体の環境適応行動に対する数理モデル2012

    • Author(s)
      上田肇一, 高木清二, 中垣俊之
    • Organizer
      日本数学会年会
    • Place of Presentation
      東京理科大学
    • Year and Date
      2012-03-29
  • [Presentation] Mathematical Model for Contemplative Amoeboid Locomotion2011

    • Author(s)
      Keiichi Ueda
    • Organizer
      7thInternational Conference on Industrial and Applied Mathematics
    • Place of Presentation
      Vancouver Convention Centre, カナダ
    • Year and Date
      2011-07-18
  • [Presentation] 真正粘菌変形体にみられる外部刺激に対する情報処理2010

    • Author(s)
      上田肇一, 高木清二, 中垣俊之
    • Organizer
      2010 年度 応用数学合同研究集会
    • Place of Presentation
      龍谷大学
    • Year and Date
      2010-12-18
  • [Presentation] Behavior of a true slime mold crossing an environmental barrier2010

    • Author(s)
      Keiichi Ueda, Seiji Takagi, Toshiyuki Nakagaki and Yasumasa Nishiura
    • Organizer
      Statistical Physics and Biology of Collective Motion, International Workshop -
    • Place of Presentation
      Max-Planck-Institut fur Physik komplexer Systeme, Dresden, ドイツ
    • Year and Date
      2010-11-08
  • [Presentation] 真正粘菌変形体にみられる環境適応性2010

    • Author(s)
      上田肇一, 高木清二, 中垣俊之, 西浦廉政
    • Organizer
      日本応用数理学会2010年度年会
    • Place of Presentation
      明治大学
    • Year and Date
      2010-09-08

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Published: 2014-08-29  

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