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Mathematical mechanism of self-organization in biological systems through flow dynamics

Research Project

Project/Area Number 17K05361
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Foundations of mathematics/Applied mathematics
Research InstitutionUniversity of Toyama

Principal Investigator

Ueda Keiichi  富山大学, 学術研究部理学系, 教授 (00378960)

Project Period (FY) 2017-04-01 – 2021-03-31
Project Status Completed (Fiscal Year 2020)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2019: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2018: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywords真正粘菌変形体 / 自己組織化現象 / 自律分散システム / 数理モデル / 物質循環 / 自己組織化
Outline of Final Research Achievements

(1) To understand the mechanism of the vein network formation, we presented a numerical model that incorporates reaction-diffusion dynamics for the organism's growth front and current reinforcement dynamics. We also proposed an algorithm to predict the main vein's position from the frontal tip's propagation.
(2) We proposed a parameter-tuning algorithm, based on a selection principle. The algorithm exhibits the emergence of synchronization between populations of oscillators through autonomous changes of the intrinsic parameters. The populations show flexible parameter changes after the existing synchronized state is broken suddenly; that is, the system chooses appropriate values of the intrinsic parameters.

Academic Significance and Societal Importance of the Research Achievements

真正粘菌のモデル作成により,細胞移動運動と管形成過程のタイムスケールの重要性が示された。この結果により,真正粘菌の形態形成における新たな数理的知見を得ることができた。パラメーターの自動調整アルゴリズムは,システム内部のみの変数で記述されていることから,未知の環境変化に対しても自発的に歩行を維持するロボットへの応用など,工学的応用が期待される。

Report

(5 results)
  • 2020 Annual Research Report   Final Research Report ( PDF )
  • 2019 Research-status Report
  • 2018 Research-status Report
  • 2017 Research-status Report
  • Research Products

    (18 results)

All 2021 2020 2019 2018 2017

All Journal Article (5 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 5 results,  Open Access: 1 results) Presentation (13 results) (of which Int'l Joint Research: 2 results,  Invited: 6 results)

  • [Journal Article] Mathematical mechanism of state-dependent phase resetting properties of alpha rhythm in the human brain2020

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

      Neuroscience Research

      Volume: - Pages: 1-13

    • DOI

      10.1016/j.neures.2020.03.007

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Model framework for emergence of synchronized oscillations2019

    • Author(s)
      Kei-Ichi Ueda
    • Journal Title

      Physical Review E

      Volume: 100 Issue: 3

    • DOI

      10.1103/physreve.100.032218

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Neural network model for path-finding problems with the self-recovery property2019

    • Author(s)
      Ueda Kei-Ichi, Kitajo Keiichi, Yamaguchi Yoko, Nishiura Yasumasa
    • Journal Title

      Physical Review E

      Volume: 99 Issue: 3 Pages: 032207-032207

    • DOI

      10.1103/physreve.99.032207

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] A mathematical model for adaptive vein formation during exploratory migration of Physarum polycephalum: routing while scouting2017

    • Author(s)
      Schenz, D., Shima, Y., Kuroda, S., Nakagaki, T. and Ueda, K. I.
    • Journal Title

      Journal of Physics D

      Volume: 50 Issue: 43 Pages: 434001-434001

    • DOI

      10.1088/1361-6463/aa88e9

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Behavioural differentiation induced by environmental variation when crossing a toxic zone in an amoeba2017

    • Author(s)
      Ueda, K. I. Itsuki Kunita, Kei-Ichi Ueda, Dai Akita, Shigeru Kuroda and Toshiyuki Nakagaki
    • Journal Title

      Journal of Physics D

      Volume: 50 Issue: 35 Pages: 354002-354002

    • DOI

      10.1088/1361-6463/aa7a8e

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Presentation] 経路探索モデルを活用したロボットアーム制御への試み2021

    • Author(s)
      上田 肇一
    • Organizer
      日本数学会年会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 集団振動子群同士の同期振動創発2020

    • Author(s)
      上田 肇一
    • Organizer
      反応拡散系と実験の融合3
    • Related Report
      2019 Research-status Report
    • Invited
  • [Presentation] 自己修復機能を有する自律分散システムに対する数理的研究2019

    • Author(s)
      上田 肇一
    • Organizer
      次世代脳プロジェクト冬のシンポジウム2019
    • Related Report
      2019 Research-status Report
    • Invited
  • [Presentation] 連発刺激印加による振動抑制法に対する分岐点近傍解析2019

    • Author(s)
      上田 肇一,池田 昭夫,松橋 眞生
    • Organizer
      生理研研究会「力学系の視点からの脳・神経回路の理解」
    • Related Report
      2019 Research-status Report
    • Invited
  • [Presentation] 振動テールをもつスポット解の動的結晶パターンについて2019

    • Author(s)
      上田 肇一,渡辺 毅,西浦 廉政
    • Organizer
      札幌非線形現象研究会
    • Related Report
      2019 Research-status Report
  • [Presentation] 連発刺激印加による振動抑制法に対する数理解析2019

    • Author(s)
      上田 肇一,池田 昭夫,松橋 眞生
    • Organizer
      RIMS共同研究(公開型)てんかんの数学的研究
    • Related Report
      2019 Research-status Report
    • Invited
  • [Presentation] A network model for spatial control of arm movements2018

    • Author(s)
      Keiichi Ueda
    • Organizer
      A3 Foresight Program The 5th Joint Workshop, Mathematics of Biology, Fluid Dynamics and Material Sciences
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 自発的なパラメータ調整による振動子の同期現象2018

    • Author(s)
      上田 肇一
    • Organizer
      RIMS共同研究(グループ型) 「統計的モデリングと予測理論のための統合的数理研究の展開」
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] 自発的なパラメータ調整による振動子の同期現象2018

    • Author(s)
      上田 肇一
    • Organizer
      第7回岐阜数理科学研究会
    • Related Report
      2018 Research-status Report
  • [Presentation] 自発的なパラメータ制御による集団振動子の同期現象2018

    • Author(s)
      上田 肇一
    • Organizer
      日本数学会年会
    • Related Report
      2017 Research-status Report
  • [Presentation] パラメータの自動調整機能を有する分散システムの設計法2018

    • Author(s)
      上田 肇一
    • Organizer
      北陸応用数理研究会2018
    • Related Report
      2017 Research-status Report
  • [Presentation] 真正粘菌変形体における管配置と先端形状の関係2017

    • Author(s)
      上田 肇一,Daniel Schenz, 嶋 恭晨,黒田 茂,中垣 俊之
    • Organizer
      第1回松江数理生物学・現象数理学ワークショップ
    • Related Report
      2017 Research-status Report
  • [Presentation] Amoeboid Locomotion in Heterogenous Media2017

    • Author(s)
      Kei-Ichi Ueda, Itsuki Kunita, Dai Akita, Shigeru Kuroda and Toshiyuki Nakagaki
    • Organizer
      SIAM Conference on Applications of Dynamical Systems
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research

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Published: 2017-04-28   Modified: 2022-01-27  

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