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Mathematical modeling for functional differentiation of neural networks

Research Project

Project/Area Number 26540123
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeMulti-year Fund
Research Field Soft computing
Research InstitutionFukuoka Institute of Technology (2015)
Hokkaido University (2014)

Principal Investigator

Yamaguti Yutaka  福岡工業大学, 情報工学部, 助教 (80507236)

Co-Investigator(Kenkyū-buntansha) TSUDA Ichiro  北海道大学, 大学院理学研究院, 教授 (10207384)
Co-Investigator(Renkei-kenkyūsha) SHIMIZU Masahiro  大阪大学, 情報科学研究科, 准教授 (50447140)
Project Period (FY) 2014-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2014: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Keywords機能分化 / 伝送エントロピー / 数理モデル / 結合振動子 / 変分原理 / 自己組織化 / 複雑系 / 移送エントロピー / 相互情報量
Outline of Final Research Achievements

To understand a mechanism of functional differentiations in the brain, we develop a mathematical model of heterogeneous modules in the brain. We study how heterogeneous modules develop in coupled-map networks via a genetic algorithm, where the selection is based on maximizing bidirectional information transmission. Two functionally differentiated modules evolved from two homogeneous systems with random couplings, which are associated with symmetry breaking of intrasystem and intersystem couplings. From the viewpoint of system development, the present study shows how system components emerge under the presence of constraints that act on a whole system. Based on the modeling study, we construct a theory on a novel type of self-organization, where the overall development of a system follows a certain variational principle.

Report

(3 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Research-status Report
  • Research Products

    (21 results)

All 2016 2015 2014

All Journal Article (7 results) (of which Peer Reviewed: 7 results,  Open Access: 3 results,  Acknowledgement Compliant: 1 results) Presentation (13 results) (of which Int'l Joint Research: 2 results,  Invited: 9 results) Book (1 results)

  • [Journal Article] Self-Organization with Constraints―A Mathematical Model for Functional Differentiation2016

    • Author(s)
      Ichiro Tsuda, Yutaka Yamaguti and Hiroshi Watanabe
    • Journal Title

      Entropy

      Volume: 18 Issue: 3 Pages: 74-74

    • DOI

      10.3390/e18030074

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Application of an Iterated Function System with Dynamic Selection Probability to Deliberative Decision-Making2015

    • Author(s)
      Yutaka Yamaguti, Ichiro Tsuda
    • Journal Title

      Advances in Cognitive Neurodynamics(V): Proceedings of the 5th International Conference on Cognitive Neurodynamics 2015

      Volume: 5 Pages: 735-740

    • DOI

      10.1007/978-981-10-0207-6_99

    • ISBN
      9789811002052, 9789811002076
    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Chaotic itinerancy and its roles in cognitive neurodynamics2015

    • Author(s)
      Ichiro Tsuda
    • Journal Title

      Current Opinion in Neurobiology

      Volume: 31 Pages: 67-71

    • DOI

      10.1016/j.conb.2014.08.011

    • NAID

      120005732983

    • Related Report
      2015 Annual Research Report 2014 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Self-organization of a Second Kind: General Scope and a Cortical Case Study2015

    • Author(s)
      Ichiro Tsuda
    • Journal Title

      Advances in Cognitive Neurodynamics

      Volume: 1 Pages: 13-15

    • DOI

      10.1007/978-981-10-0207-6_3

    • ISBN
      9789811002052, 9789811002076
    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Mathematical Modeling for Evolution of Heterogeneous Modules in the Brain2015

    • Author(s)
      Yutaka Yamaguti, Ichiro Tsuda
    • Journal Title

      Neural Networks

      Volume: 62 Pages: 3-10

    • DOI

      10.1016/j.neunet.2014.07.013

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Evolution of Heterogeneous Network Modules via Maximization of Bidirectional Information Transmission2014

    • Author(s)
      Yutaka Yamaguti
    • Journal Title

      Advances in Cognitive Neurodynamics (IV)

      Volume: 4 Pages: 605-608

    • DOI

      10.1007/978-94-017-9548-7_87

    • ISBN
      9789401795470, 9789401795487
    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] Modeling the Genesis of Components in the Networks of Interacting Units2014

    • Author(s)
      Ichiro Tsuda, Yutaka Yamaguti, Hiroshi Watanabe
    • Journal Title

      Advances in Cognitive Neurodynamics (IV)

      Volume: 4 Pages: 583-587

    • DOI

      10.1007/978-94-017-9548-7_84

    • ISBN
      9789401795470, 9789401795487
    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Presentation] 情報伝達最大化原理に基づくネットワークの分化2016

    • Author(s)
      山口 裕
    • Organizer
      「非線形・統計力学とその周辺」セミナー
    • Place of Presentation
      京都府京都市左京区京都大学工学部
    • Year and Date
      2016-03-15
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] 自己組織化再考―第二種自己組織化の可能性2015

    • Author(s)
      津田一郎
    • Organizer
      京都大学基礎物理学研究所研究会「複雑システムにおける創造的破壊現象の原理に迫る」
    • Place of Presentation
      京都府京都市中京区コープイン京都
    • Year and Date
      2015-08-06
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] 自己組織化再考2015

    • Author(s)
      津田一郎
    • Organizer
      第14回現象数理学コロキアム
    • Place of Presentation
      東京都中野区明治大学中野キャンパス高層棟
    • Year and Date
      2015-07-03
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Application of an iterated function system with dynamic selection probability to deliberative decision making,2015

    • Author(s)
      Yutaka Yamaguti, Ichiro Tsuda
    • Organizer
      The 5th International Conference on Cognitive Neurodynamics
    • Place of Presentation
      The Palm Beach Resort and Spa, Sanya, China
    • Year and Date
      2015-06-03
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 第二種自己組織化:脳の機能分化とアプリオリな時間空間概念2015

    • Author(s)
      津田一郎
    • Organizer
      2015年度人工知能学会全国大会
    • Place of Presentation
      北海道函館市公立はこだて未来大学
    • Year and Date
      2015-05-30
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Self-organization of a second kind: a mathematical model for functional differentiation in the brain2015

    • Author(s)
      Ichiro Tsuda
    • Organizer
      Toward a New Paradim for Self-Organization
    • Place of Presentation
      京都府京都市左京区京都大学数理解析研究所
    • Year and Date
      2015-05-19
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Mathematical modeling of rat’s internal activity: iterated function system with dynamic selection probability2014

    • Author(s)
      Yutaka Yamaguti, Hiroshi Nishida, Muneyoshi Takahashi, Johan Lauwereyns, Ichiro Tsuda
    • Organizer
      The 15th RIES-Hokudai International Symposium [Hibiki]
    • Place of Presentation
      シャトレーゼガトーキングダムサッポロ(北海道札幌市)
    • Year and Date
      2014-12-16 – 2014-12-17
    • Related Report
      2014 Research-status Report
  • [Presentation] 動的な選択確率を持つIterated Function System による課題遂行中のラット海馬神経活動の数理モデル2014

    • Author(s)
      山口裕、西田洋司、高橋宗良、ローレンス・ヨハン、津田一郎
    • Organizer
      2014年度包括脳ネットワーク冬のシンポジウム
    • Place of Presentation
      東京医科歯科大学湯島キャンパス(東京都文京区)
    • Year and Date
      2014-12-11 – 2014-12-13
    • Related Report
      2014 Research-status Report
  • [Presentation] Evolution of Heterogeneous Modules via Maximization of Bi-directional Information Transmission2014

    • Author(s)
      Yutaka Yamaguti and Ichiro Tsuda
    • Organizer
      4th Symposium on Artificial Life and Biomimetic Functional Materials
    • Place of Presentation
      東京大学アドバンスド・リサーチ・ラボラトリー(東京都目黒区)
    • Year and Date
      2014-11-28
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] 情報伝達最大化原理に基づくネットワークの分化2014

    • Author(s)
      山口裕 津田一郎
    • Organizer
      第2回アライアンス若手研究交流会~モノを創る、観る、識る~
    • Place of Presentation
      大阪大学産業科学研究所(大阪府茨木市)
    • Year and Date
      2014-11-26 – 2014-11-27
    • Related Report
      2014 Research-status Report
  • [Presentation] The Second Kind of Self-Organization2014

    • Author(s)
      Ichiro Tsuda
    • Organizer
      Waseda AICS Symposium and the 14th Slovenia-Japan Seminar “New Challenges in Complex Systems Science”
    • Place of Presentation
      早稲田大学西早稲田キャンパス(東京都新宿区)
    • Year and Date
      2014-10-24
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] 脳の数理モデルについて2014

    • Author(s)
      津田一郎
    • Organizer
      物質・デバイス領域共同研究拠点事業『ABE2 空間における次世代デバイス・システムの展望 ~高効率太陽電池の展開、並びに清浄環境の未来』研究会
    • Place of Presentation
      北海道大学電子科学研究所(北海道札幌市)
    • Year and Date
      2014-09-05
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] 数理モデリングから見た神経振動現象の多様性と普遍性2014

    • Author(s)
      津田一郎
    • Organizer
      神経オシレーションカンファレンス2014
    • Place of Presentation
      自然科学研究機構岡崎コンファレンスセンター(愛知県岡崎市)
    • Year and Date
      2014-07-17 – 2014-07-18
    • Related Report
      2014 Research-status Report
    • Invited
  • [Book] 津田 一郎2015

    • Author(s)
      心はすべて数学である
    • Total Pages
      218
    • Publisher
      文芸春秋
    • Related Report
      2015 Annual Research Report

URL: 

Published: 2014-04-04   Modified: 2017-05-10  

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