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A theory for the formation of episodic memory in terms of Cantor coding

Research Project

Project/Area Number 12834001
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research InstitutionHOKKAIDO UNIVERSITY

Principal Investigator

TSUDA Ichiro  Hokkaido Univ. Grad. School of Sci., Prof., 大学院・理学研究科, 教授 (10207384)

Co-Investigator(Kenkyū-buntansha) NAMIKI Takao  Hokkaido Univ. Grad. School of Sci., Inst., 大学院・理学研究科, 助手 (40271712)
Project Period (FY) 2000 – 2001
Project Status Completed (Fiscal Year 2001)
Budget Amount *help
¥4,000,000 (Direct Cost: ¥4,000,000)
Fiscal Year 2001: ¥1,800,000 (Direct Cost: ¥1,800,000)
Fiscal Year 2000: ¥2,200,000 (Direct Cost: ¥2,200,000)
Keywordshippocampus / episodic memory / chaotic itinerancy / Cantor set / Cantor coding / chaotic dynamical systems / complex systems / θ波 / γ波 / カントールコーディング / カオス
Research Abstract

It is known that hippocampus works to form series of events that is, episodic memory. We investigate the problem of formation of episodic memory from complex systems point of view. Our purpose is to understand the mechanism of formation of episodic memory leased on high-dimensional dynamical systems theory.
In these two years of the project, we proposed a dynamic model of formation of epicodic memory. Human experience can be explained as a result that consciousness discretises continuous external phenomenon. We set up a hypothesis that gamma wave executes this discretization process. The hippocampus-cortical system synchronizes with theta rhythms with recurrence time in about 200 milliseconds. The discretization of theta wave by gamma wave can be regarded as input series of events to hippocampus. We show that chaotic itinerancy represents the transition of memory, based on the network structures of GA3. Schaeffer collaterals of the pyramidal cells in CA3 send input signal toCA1, which gives rise to a stable dynamical systems, Thus CA3-CA1 system is described as a contracting dynamics driven by chaotic itinerancy.
It is expected that Cantor sets are organized in GA1 region according to a standard theory of contracting maps. We show the existence of such attractors with computer simulations. The chaotic itinerancy in CA3 represents a series of events, namely episode, while the hierarchy of Cantor attractor in CA1 represents a history of chaotic itinerancy. Thus it turns out that Cantor sets implies categories of episode.

Report

(3 results)
  • 2001 Annual Research Report   Final Research Report Summary
  • 2000 Annual Research Report
  • Research Products

    (31 results)

All Other

All Publications (31 results)

  • [Publications] I.Tsuda: "Making sense of internal logic"The Sciences of Interface(eds.H.H.Diebner, T.Druckrey and P.Weibel, Genista Verlag, Tubingen). 131-135 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] I.Tsuda: "Cantor coding in the hippocampus"Japan Journal of Industrial and Applied Mathematics. 18(2). 249-258 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] I.Tsuda: "Toward an interpretation of dynamic neural activity in terms of chaotic dynamical systems"Behavioral and Brain Sciences. 24(5). 575-628 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] I.Tsuda: "Fractal encoding in a chaotic neural network"Physical Review E. 64. 1-6 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Namiki: "Function Dynamics"Japan J. Indust. Appl. Math.. 18. 405-423 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Namiki: "Asymptotic behavior of one-dimensional cellular automata traffic models"Proceedings of Cellular Automata(Yokohama National Univ.). Nov.15-16. 130-134 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 津田一郎: "複雑系脳理論"サイエンス社. 111 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] I.Tsuda: "Complex Systems : Chaos and Beyond -A Constructive Approach with Applications in Life Sciences"Springer-Verlag. 273 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 津田一郎: ""カオス的神経回路網とカオス的神経活動"脳科学大事典"朝倉書店(外山敬介, 甘利俊一 編集). 4(748-751) (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 津田一郎: ""計算理論の最近の展開"脳科学大事典"朝倉書店(外山敬介, 甘利俊一 編集). 5(759-763) (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] I. Tsuda: "Making sense of internal logic"The Sciences of Interface (eds. H. H. Diebner, T. Druckrey and P. Weibel Genista Verlag, Tubingen). 131-135 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] I. Tsuda: "Cantor coding in the hippocampus"Japan Journal of Industrial and Applied Mathematics. 18(2). 249-258 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] I. Tsuda: "Toward an interpretation of dynamic neural activity in terms of chaotic dynamical systems"Behavioral and Brain Sciences. 24(5). 575-628 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] I. Tsuda: "Fractal encoding in a chaotic neural network"Physical Review. 64. 1-6 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T. Namiki: "Function Dynamics"Japan J. Indust. Appl. Math.. 18. 405-423 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T. Namiki: "Asymptotic behavior of one-dimensional cellular automata traffic models"Proceedings of Cellular Automata (Yokohama National Univeisity). Nov.15-16. 130-134 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] I. Tsuda: "The complex systems theory for the brain"Science (in Japanese). 111 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] I. Tsuda: "Complex Systems:Chaos and Beyond - A Constructive Approach with Applications in Life Sciences"Springer-Verlag. 273 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] I. Tsuda: "Chaotic neural networks and chaotic neural activity, Encyclopedia of the brain sciences"Asakura Publishing Co., Ltd,(K. Toyama and S. Amari edited) (in Japanese). 748-751 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] I. Tsuda: "The recent development of the computation theory"Asakura Publishing Co., Ltd,(K. Toyama and S. Amari edited) (in Japanese). 759-763 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] I. Tsuda: "Making sense of internal logic"The Sciences of Interface(eds. H. H. Diebner, T. Druckrey and P. Weibel, Genista Verlag, Tubingen). 131-135 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] I. Tsuda: "Cantor coding in-the hippocampus"Japan Journal of Industrial and Applied Mathematics. 18(2). 249-258 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] I. Tsuda: "Toward an interpretation of dynamic neural activity in terms of chaotic dynamical systems"Behavioral and Brain Sciences. 24(5). 575-628 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] I. Tsuda: "Fractal encoding in a chaotic neural network"Physical Review E. 64. 1-6 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] T. Namiki: "Function Dynamics"Japan J. Indust. Appl. Math.. 18. 405-423 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] T. Namiki: "Asymptotic behavior of one-dimensional cellular automata traffic models"Proceedings of Cellular Automata (Yokohama National Univ.). Nov.15-16. 130-134 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 津田一郎: "複雑系脳理論"サイエンス社. 111 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] I. Tsuda: "Complex Systems : Chaos and Beyond- A Constructive Approach with Applications in Life Sciences"Springer-Verlag. 273 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] I.Tsudn: "Cantor Coding in the hippocampus"J.J.of Applied Mathematics . vol.18.no.2 (印刷中). (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] I.Tsuda: "Towards an interpretation of dynamic brain activity in terms of chaotic dynamical systems"Behavioral and Brain Sciences. vol.24,no.2(印刷中). (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] k.Kaneko and I.Tsuda: "Complex Systems : Chaos and Beyond "Springer - Verlag, Berlin, Heidelbrerg. 273 (2001)

    • Related Report
      2000 Annual Research Report

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Published: 2000-04-01   Modified: 2016-04-21  

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