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Amari neural field for mice brain activity

Research Project

Project/Area Number 26520201
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section特設分野
Research Field Mathematical Sciences in Search of New Cooperation
Research InstitutionHokkaido University

Principal Investigator

Sato Yuzuru  北海道大学, 電子科学研究所, 准教授 (30342794)

Research Collaborator Shimaoka Daisuke  
Fujimoto Koichi  
Taga Gentaro  
Project Period (FY) 2014-07-18 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2018: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords甘利神経場 / マウス全半球膜電位計測 / 進行スポット解 / 非局所結合ネットワーク / 非自励力学系 / 甘利神経場ダイナミクス / 甘利神経場モデル / 孤立進行波
Outline of Final Research Achievements

Dynamics of membrane potential in mise whole brain is studied by using Amari neural field model with non-local coupling. As neuroscience, the phenomenology of the membrane potential propagation wave seen in spontaneous activity is studied. As mathematical science, the standard model of neural fields and the space-time continuous computation theory are studied. The results are the followings: (1)We identified the structure of the networks of neural fields based on the Allen Brain Atlas database. (2)The phenomenology of the membrane potential wave seen in spontaneous activity is constructed. (3) Robustness of the propagation wave and constructivity of the pulsar of the solitary wave are shown. (4) Since the non-local coupling is mathematically equivalent to the spatial curvature of the neural fields, it is found that the spatial geometry of neural fields influences the stability and division process of the solitary waves.

Academic Significance and Societal Importance of the Research Achievements

非局所的な結合を持つ興奮-抑制系である甘利神経場モデルを用いてマウス全半球の膜電位ダイナミクスを解析しました。具体的には、脳科学の問題として自発活動時の膜電位伝播波の現象論を、数理科学の問題として神経場の標準モデルと時空連続な計算論を研究しました。結果として、神経網データベースに基づく甘利神経場モデルの構造を同定し、マウス全半球自発活動の現象論を構築しました。また神経場モデルにおいて現れる様々な時空ダイナミクスが普遍的であること、そのダイナミクスの安定性は神経場のネットワーク構造や幾何構造に支配されていることがわかりました。

Report

(6 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Research-status Report
  • 2016 Research-status Report
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (18 results)

All 2019 2017 2016 2015 2014 Other

All Int'l Joint Research (5 results) Journal Article (6 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 5 results,  Acknowledgement Compliant: 3 results,  Open Access: 4 results) Presentation (6 results) (of which Int'l Joint Research: 3 results,  Invited: 4 results) Remarks (1 results)

  • [Int'l Joint Research] University College London(英国)

    • Related Report
      2017 Research-status Report
  • [Int'l Joint Research] CNRS(France)

    • Related Report
      2017 Research-status Report
  • [Int'l Joint Research] Max Planck Institute Leipzig(Germany)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] University College London(英国)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] Max Planck Institute Leipzig(Germany)

    • Related Report
      2015 Research-status Report
  • [Journal Article] An overview of the extremal index2019

    • Author(s)
      Nicholas R. Moloney, Davide Faranda, and Yuzuru Sato
    • Journal Title

      CHAOS

      Volume: 29 Issue: 2 Pages: 022101-022101

    • DOI

      10.1063/1.5079656

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Neural field dynamics for growing brains2016

    • Author(s)
      Yuzuru Sato, Daisuke Shimaoka, Koichi Fujimoto, and Gentaro Taga
    • Journal Title

      Nonlinear Theory and Its Applications, IEICE

      Volume: 7 Issue: 2 Pages: 226-233

    • DOI

      10.1587/nolta.7.226

    • NAID

      130005142579

    • ISSN
      2185-4106
    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Information flow in learning a coin-tossing game2016

    • Author(s)
      Yuzuru Sato, Nihat Ay
    • Journal Title

      Nonlinear Theory and Its Applications, IEICE

      Volume: 7 Issue: 2 Pages: 118-125

    • DOI

      10.1587/nolta.7.118

    • NAID

      130005142575

    • ISSN
      2185-4106
    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Robust pattern construction in two-dimensional neural field2015

    • Author(s)
      Yuzuru Sato
    • Journal Title

      Proc. of AFCA

      Volume: 1 Pages: 1-5

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Random basin in dice roll2015

    • Author(s)
      Yuzuru Sato and Nobuo Matsunaga
    • Journal Title

      ランダム力学系理論とその応用・数理解析研究所講究録

      Volume: 1942 Pages: 1-10

    • Related Report
      2014 Research-status Report
    • Open Access
  • [Journal Article] Computability and complexity of Julia sets: a review2014

    • Author(s)
      Kota Hiratsuka, Yuzuru Sato, and Zin Arai
    • Journal Title

      Nonlinear Theory and Its Applications, IEICE

      Volume: 5 Issue: 4 Pages: 410-423

    • DOI

      10.1587/nolta.5.410

    • NAID

      130004697187

    • ISSN
      2185-4106
    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access
  • [Presentation] Pattern dynamics and network dynamics in brain development2019

    • Author(s)
      Yuzuru Sato
    • Organizer
      「ヒト脳の形態形成から行動生成に至る発達のダイナミクス」 第7 回ミーティング
    • Related Report
      2018 Annual Research Report
  • [Presentation] Anomalous diffusion and intermittency in random dynamical systems2017

    • Author(s)
      Yuzuru Sato
    • Organizer
      Marseille neuroscience workshop
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Pattern Dynamics and Memory in Neural Field Dynamics2016

    • Author(s)
      Yuzuru Sato
    • Organizer
      「ヒト脳の形態形成から行動生成に至る発達のダイナミクス」研究集会
    • Place of Presentation
      マホロバ・マインズ三浦, 三浦市, 神奈川県
    • Year and Date
      2016-08-25
    • Related Report
      2016 Research-status Report
  • [Presentation] Neural Field Dynamics for Growing Brains2016

    • Author(s)
      Yuzuru Sato
    • Organizer
      AAAS
    • Place of Presentation
      Marriott Wardman Park, Washington DC, USA
    • Year and Date
      2016-02-13
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Robust Computation in Neural Field2015

    • Author(s)
      Yuzuru Sato
    • Organizer
      AFCA/CANDAR'15
    • Place of Presentation
      Sapporo Business Innovation Center, Sapporo, Hokkaido, Japan
    • Year and Date
      2015-12-11
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Asymmetric game dynamics and its applications2014

    • Author(s)
      Yuzuru Sato
    • Organizer
      SAET
    • Place of Presentation
      早稲田大学、東京都新宿区
    • Year and Date
      2014-08-09
    • Related Report
      2014 Research-status Report
    • Invited
  • [Remarks] Yuzuru Sato

    • URL

      http://www.math.sci.hokudai.ac.jp/~ysato/

    • Related Report
      2015 Research-status Report

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Published: 2014-09-09   Modified: 2022-02-22  

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