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Mathematical model for spontaneous formation of transportation network in living organisms

Research Project

Project/Area Number 15K17589
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Foundations of mathematics/Applied mathematics
Research InstitutionHosei University (2017-2018)
Hiroshima University (2015-2016)

Principal Investigator

ITO Kentaro  法政大学, 生命科学部, 講師 (20528351)

Project Period (FY) 2015-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywords数理モデル / ネットワーク / 粘菌 / 真正粘菌 / ネットワーク形成 / 振動 / 輸送ネットワーク / 状況判断 / 最適化
Outline of Final Research Achievements

I constructed a mathematical model for spreading true slime mold to explain its network formation. From the result of experiments and simulations, I found that the slime mold spreads differently depending on its total weight, even in the same environment.
It was found that even if the tube does not grow, the variation of the spread of slime mold can be reproduced by our mathematical model.

Academic Significance and Societal Importance of the Research Achievements

生物は血管網,神経網といった様々なネットワークを進化的に獲得しており,このネットワークは成長とともにより適応的に機能的なものへと変化していくことが知られている.真正粘菌変形体は単細胞であるが,原形質を輸送する管のネットワークをもっており,時間とともに体を広げながらこのネットワーク自体もより適応的なものへと変化していく.この比較的単純な生物のネットワーク形成を理解することができれば,他の生体内のネットワークがどのように体の成長とともに変化していくかをシンプルに説明するための糸口になることが期待される.

Report

(5 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Research-status Report
  • 2016 Research-status Report
  • 2015 Research-status Report
  • Research Products

    (15 results)

All 2018 2017 2016 2015

All Journal Article (2 results) (of which Peer Reviewed: 2 results,  Open Access: 1 results,  Acknowledgement Compliant: 1 results) Presentation (13 results) (of which Int'l Joint Research: 6 results,  Invited: 4 results)

  • [Journal Article] Response to various periods of mechanical stimuli in Physarum plasmodium2017

    • Author(s)
      Takuya Umedachi,Kentaro Ito, Ryo Kobayashi, Akio Ishiguro, Toshiyuki Nakagaki
    • Journal Title

      Journal of Physics D: Applied Physics

      Volume: 50 Issue: 25 Pages: 254002-254002

    • DOI

      10.1088/1361-6463/aa6f4a

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Synchronization of Two Self-Oscillating Gels Based on Chemo-Mechanical Coupling2016

    • Author(s)
      Kentaro Ito, Takato Ezaki, Shogo Suzuki, Ryo Kobayashi, Yusuke Hara and Satoshi Nakata
    • Journal Title

      The journal of physical chemistry B

      Volume: 120 Issue: 11 Pages: 2977-2983

    • DOI

      10.1021/acs.jpcb.6b00873

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] Mass depending maze exploration strategy for true slime mold2018

    • Author(s)
      Kentaro Ito
    • Organizer
      2018 Annual Meeting of the Society for Mathematical Biology
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 粘菌の探索について2017

    • Author(s)
      伊藤賢太郎
    • Organizer
      第4回JST数学領域横断若手合宿
    • Place of Presentation
      休暇村讃岐五色台(香川県坂出市)
    • Year and Date
      2017-02-01
    • Related Report
      2016 Research-status Report
  • [Presentation] Searching strategy of slime mold and its mathematical model2017

    • Author(s)
      Kentaro Ito, Ryo Kobayashi
    • Organizer
      SICE2017
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 粘菌の賢い戦略と数理モデル2017

    • Author(s)
      伊藤賢太郎
    • Organizer
      日本オペレーションリサーチ学会システム信頼性研究部会新春特別講演会
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] 粘菌の移動とネットワーク形成の数理モデル2016

    • Author(s)
      伊藤賢太郎
    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      龍谷大学
    • Year and Date
      2016-12-16
    • Related Report
      2016 Research-status Report
  • [Presentation] 粘菌の探索行動の数理モデル2016

    • Author(s)
      伊藤賢太郎
    • Organizer
      第12回バイオロギングシンポジウム
    • Place of Presentation
      Kyoto
    • Year and Date
      2016-12-02
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] 粘菌の探索行動とその数理モデル2016

    • Author(s)
      伊藤賢太郎
    • Organizer
      動物行動学会
    • Place of Presentation
      新潟
    • Year and Date
      2016-11-02
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Mathematical model for spreading slime mold and its decision making2016

    • Author(s)
      Kentaro Ito
    • Organizer
      Patterns and Waves 2016
    • Place of Presentation
      Sapporo
    • Year and Date
      2016-08-02
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Mathematical model for spreading slime mold on 2D-mesh2016

    • Author(s)
      Kentaro Ito
    • Organizer
      ECMTB/SMB 2016
    • Place of Presentation
      Nottingham (UK)
    • Year and Date
      2016-07-14
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] 適応的に行動する粘菌の数理モデル2016

    • Author(s)
      伊藤賢太郎
    • Organizer
      第3回JST数学領域横断若手合宿
    • Place of Presentation
      ウェスティンホテル淡路
    • Year and Date
      2016-02-22
    • Related Report
      2015 Research-status Report
  • [Presentation] 粘菌の移動とネットワーク形成の数理モデル2016

    • Author(s)
      伊藤賢太郎
    • Organizer
      第28回自律分散システム・シンポジウム
    • Place of Presentation
      広島大学
    • Year and Date
      2016-01-22
    • Related Report
      2015 Research-status Report
  • [Presentation] 状況判断する粘菌の数理モデル2015

    • Author(s)
      伊藤賢太郎
    • Organizer
      「群れ」における動態形成の数理科学
    • Place of Presentation
      広島大学
    • Year and Date
      2015-12-21
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] Mathematical model for spreading true slime mold2015

    • Author(s)
      伊藤賢太郎
    • Organizer
      2015JSMB-CJK合同大会
    • Place of Presentation
      同志社大学
    • Year and Date
      2015-08-27
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research

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Published: 2015-04-16   Modified: 2020-03-30  

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