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Mathematical analysis for autonomous systems with self-recovery properties

Research Project

Project/Area Number 25400199
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, 大学院理工学研究部(理学), 准教授 (00378960)

Project Period (FY) 2013-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2016: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords数理モデル / 真正粘菌変形体 / 自律分散システム / ネットワーク / 真正粘菌 / 反応拡散系
Outline of Final Research Achievements

(1) We proposed a mathematical model for cell movement in amoeba. We successfully reproduced the stimulation-induced differentiation of behavioral types, which was observed experimentally. These dynamics may be explained by a saddle structure around a canard solution. Our result imply that the differentiation of behavioral types in amoeba is modified step-by-step via the compounding of stimulation inputs.
(2) We proposed a continuous model for a pathfinding system. The proposed model autonomously finds a path connecting two specified vertices, and the path is represented by a stable solution of the proposed model. The system has a self-recovery property, i.e., the system can find a path when one of the connections in the existing path is suddenly terminated. Further, we demonstrate that the appropriate installation of inhibitory interaction improves the search time.

Report

(5 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • 2013 Research-status Report
  • Research Products

    (20 results)

All 2016 2015 2014 2013

All Journal Article (4 results) (of which Peer Reviewed: 4 results,  Acknowledgement Compliant: 2 results) Presentation (16 results) (of which Int'l Joint Research: 4 results,  Invited: 2 results)

  • [Journal Article] Multistate network model for the pathfinding problem with a self-recovery property2015

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

      Neural Networks

      Volume: 62 Pages: 32-38

    • DOI

      10.1016/j.neunet.2014.08.008

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Bidirectional wave propagations can improve loop finding time2015

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

      Advances in Cognitive Neurodynamics

      Volume: 4 Pages: 277-282

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Multistate network for loop searching system with self-recovery property2014

    • Author(s)
      K.-I. Ueda, M. Yadome, Y. Nishiura
    • Journal Title

      Physical Review E

      Volume: 89(2),(published on-line) Issue: 2 Pages: 22810-22810

    • DOI

      10.1103/physreve.89.022810

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] Three-state network design for robust loop-searching systems2013

    • Author(s)
      K.-I.Ueda
    • Journal Title

      Phys. Rev. E

      Volume: Vol.87 Issue: 5

    • DOI

      10.1103/physreve.87.052920

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Presentation] Multistate network model for the path-finding problem2016

    • Author(s)
      Kei-Ichi Ueda, Masaaki Yadome, Yasumasa Nishiura
    • Organizer
      Patterns and waves 2016
    • Place of Presentation
      北海道大学
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Differentiation of behavioral type induced by environmental variations in an amoeba2016

    • Author(s)
      Itsuki Kunita, Kei-Ichi Ueda, Dai Akita, Shigeru Kuroda, Toshiyuki Nakagaki
    • Organizer
      2016年度日本数理生物学会
    • Place of Presentation
      九州大学伊都キャンパス
    • Related Report
      2016 Annual Research Report
  • [Presentation] 自発的なパラメータ変化による同期現象維持2016

    • Author(s)
      上田 肇一
    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      龍谷大学瀬田キャンパス
    • Related Report
      2016 Annual Research Report
  • [Presentation] Multistate network model for the pathfinding problem2015

    • Author(s)
      Kei-Ichi Ueda
    • Organizer
      The 2nd Joint Workshop of A3 Foresight Program
    • Place of Presentation
      Xiamen Golden Bay Hotel
    • Year and Date
      2015-11-28
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Differentiation of behavioral type induced by environmental variations in an amoeba2015

    • Author(s)
      Kei-Ichi Ueda
    • Organizer
      International Conference on Mathematical Modeling and Applications
    • Place of Presentation
      明治大学
    • Year and Date
      2015-10-28
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] An autonomous distributed system for the pathfinding problem with self-recovery property2015

    • Author(s)
      Kei-Ichi Ueda
    • Organizer
      8th International Congress on Industrial and Applied Mathematics
    • Place of Presentation
      China National Convention Center
    • Year and Date
      2015-08-11
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] A Continuous Model for the Pathfinding Problem with Self-Recovery Property2015

    • Author(s)
      Kei-Ichi Ueda
    • Organizer
      SIAM Conference on Applications of Dynamical Systems
    • Place of Presentation
      Snowbird Ski and Summer Resort
    • Year and Date
      2015-05-18
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 自己修復機能を有する自律分散システムとその経路探索問題および逆運動学への応用2014

    • 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
      2014-12-20
    • Related Report
      2014 Research-status Report
  • [Presentation] 自己修復機能を有する経路探索システム2014

    • Author(s)
      上田 肇一
    • Organizer
      研究集会「富山解析セミナー2014」
    • Place of Presentation
      富山大学
    • Year and Date
      2014-10-11
    • Related Report
      2014 Research-status Report
  • [Presentation] Nonlinear dynamics in decision making process in amoeboid locomotion2014

    • Author(s)
      Kei-Ichi Ueda
    • Organizer
      JSMB/SMB2014
    • Place of Presentation
      大阪国際会議場
    • Year and Date
      2014-07-31
    • Related Report
      2014 Research-status Report
  • [Presentation] 真正粘菌の行動選択に対する数理的アプローチ2014

    • Author(s)
      上田 肇一
    • Organizer
      北陸応用数理研究会2014
    • Place of Presentation
      金沢大学サテライトプラザ
    • Related Report
      2013 Research-status Report
  • [Presentation] Loop Searching System with Self-Recovery Property2013

    • Author(s)
      Kei-Ichi Ueda
    • Organizer
      SIAM Conference on Applications of Dynamical Systems
    • Place of Presentation
      Snowbird Ski and Summer Resort, アメリカ合衆国
    • Related Report
      2013 Research-status Report
  • [Presentation] Three-state Node Network for Loop Searching System2013

    • Author(s)
      Kei-Ichi Ueda
    • Organizer
      IMA Special Workshop Joint US-Japan Conference for Young Researchers on Interactions among Localized Patterns in Dissipative Systems
    • Place of Presentation
      Minnesota University, アメリカ合衆国
    • Related Report
      2013 Research-status Report
  • [Presentation] Transient dynamics of neural oscillators induced by nonlinear interactions2013

    • Author(s)
      Kei-Ichi Ueda
    • Organizer
      International conference on cognitive neurodynamics 2013
    • Place of Presentation
      Sigtuna foundation, スウェーデン
    • Related Report
      2013 Research-status Report
  • [Presentation] 柔軟なアトラクタ遷移を可能にする大自由度力学系2013

    • Author(s)
      上田 肇一
    • Organizer
      研究集会「富山解析セミナー2013」
    • Place of Presentation
      富山大学理学部
    • Related Report
      2013 Research-status Report
  • [Presentation] ループネットワーク探索機能を有する自律分散システム2013

    • Author(s)
      上田 肇一
    • Organizer
      第23回「非線形反応と協同現象」
    • Place of Presentation
      北海道大学学術交流会館
    • Related Report
      2013 Research-status Report

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Published: 2014-07-25   Modified: 2019-07-29  

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