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Mathematical Study of the Dynamical Cell Assembly Hypothesis as the Encoding Principle of the Brain

Research Project

Project/Area Number 10640140
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionKyoto Sangyou University

Principal Investigator

FUJII Hiroshi  Kyoto Sangyo University, Department of Information & Communication Sciences, Faculty of Engineering, Professor, 工学部, 教授 (90065839)

Co-Investigator(Kenkyū-buntansha) KUBO Masayoshi  Kyoto University, Graduate School of Informatics, Lecturer, 大学院・情報学研究科, 講師 (10273616)
ITO Hiroyuki  Kyoto Sangyo University, Department of Information & Communication Sciences, Faculty of Engineering, Professor, 工学部, 教授 (80201929)
Project Period (FY) 1998 – 2001
Project Status Completed (Fiscal Year 2001)
Budget Amount *help
¥3,200,000 (Direct Cost: ¥3,200,000)
Fiscal Year 2001: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2000: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1999: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1998: ¥900,000 (Direct Cost: ¥900,000)
Keywordsinhibitory neurons / gap junction / class I neuron / spatio-temporal chaos / A-channel / local field potential / FS cell / 過渡的シンクロニー / FS細胞 / LTS細胞間 / サドル・ノード分岐 / アトラクタ痕跡 / バインディング問題 / Local Field Potentialの位相同期 / 抽象コインシデンス・ディテクター / GAP junction抑制系 / コインシデンス・ディテクター / 情報表現 / 主観的知覚 / 擬似アトラクター / テトロードアレイ電極 / 集団的コインシデンスディテクション / 動的セル・アセンブリー
Research Abstract

Spatio-temporal dynamics of the inhibitory networks coupled by gap junctions
Inhibitory neurons as FS/LTS cells in the neocortex are recently reported to be coupled by a vast amount of gap junctions. The dynamics as well as functional significance in the coding and information representation in the brain of such gap junction-coupled systems are largely unknown. We investigated the dynamics of such systems from a mathematical point of view. The main result is that gap junction-connected systems of Class I neurons with A-channels may exhibit an extensive spatio-temporal chaos, which shows a sharp contrast with Class II neurons like Hodgkin-Huxley or FitzHugh-Nagumo neurons. The consequence of this result could extend to the encoding theory of the brain. Also the relation of the present result with the experimentally observed fluctuation and synchrony in the local field potentials in the neocortex may be an interesting research subject. Reports of the present result are now under preparation.

Report

(5 results)
  • 2001 Annual Research Report   Final Research Report Summary
  • 2000 Annual Research Report
  • 1999 Annual Research Report
  • 1998 Annual Research Report
  • Research Products

    (18 results)

All Other

All Publications (18 results)

  • [Publications] 藤井宏: "ダイナミカル・セル・アセンブリー再訪-過渡的シンクロニーをめぐって"数理科学. No.6. (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 藤井宏: "情報のキャリアと情報表現のパラダイム"脳科学ハンドブック第II篇代7章7節. (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H.Ito, S.Tsuji: "Model Dependence in Quantification of Spike Inter-dependence by Joint Peri-Stimulus Time Histogram"Neural Computation. 12(1). 105-127 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H.Fujii, M.Kubo: "On the Nature of Brain Dynamics in a Noisy Neuronal Population without Significant Rate Variation Observed in a Period of Internal Purely Cognitive Processes"Proc.Riken-Tamagawa International Forum on Dynamic Brain 1998. (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 銅谷, 伊藤, 藤井, 塚田編: "「脳の情報表現-ニューロン、ネットワークと数理モデル」、共編"朝倉書店. (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Hiroshi Fujii: "Revisiting the dynamical cell assembly hypothesis - around the transient synchrony"Suuri-kagaku (Mathematical Sciences). (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H. Fujii: "Carrier of information and paradigms of information representation of the brain"The Handbook of Brain Science, II-7-7, Asakura Publishing Co. Ltd.. (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H. Ito and S. Tsuji: "Model Dependence in Quantification of Spike Inter-dependence by Joint Peri-Stimulus Time Histogram"Neural Computation. Vol. 12 (1). 105-127 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H. Fujii and M. Kubo: "On the Nature of Brain Dynamics in a Noisy Neuronal Population without Significant Rate Variation Observed in a Period of Internal Purely Cognitive Processes"Proc. Riken-Tamagawa International Forum on Dynamic Brain. (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Doya, Ito, Fujii and Tsukada (Eds.): "The representation of Information in the Brain- Neuron, Network and Mathematical Models"Asakura Publishing Co. Ltd.. (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 藤井宏: "ダイナミカル・セル・アセンブリー再訪-過渡的シンクロニーをめぐって、"数理科学. 6月号. 25-36 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 銅谷,伊藤,藤井,塚田 共編: "「脳の情報表現-ニューロン、ネットワークと数理モデル」"朝倉書店(印刷中). (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] H. Ito & S. Tsuji: "Model Dependence in Quantification of Spike Inter-dependence by Joint Peri-Stimulus Time"Neural Computation. 12・1. 105-127 (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] 藤井 宏: ""ダイナミカル・セル・アセンプリー再訪-過渡的シンクロニーをめぐって""数理科学. (to appear). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] 藤井 宏: ""情報のキャリアと情報表現のパラダイム""脳科学ハンドブック. (to appear). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] 銅谷、伊藤、藤井、塚田 共編: "脳の情報表現-ニューロン、ネットワークと数理モデル"朝倉書店(to appear). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] H.Fujii and M.Kubo: "On the Nature of Brain Dynamics in a Noisy Neuronal Population without Significant Rate Variation Observed in a Period of Internal Purely Cognitive Processes"" Proc.Riken-Tamagawa International Forum on Dynamic Brain 1998. (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] H.Ito and S.Tsuji: "Model Dependence in Quantification of Spike Interdependence by Joint Peri-Stimulus Time Histogram" “部Neural Computation. (to appear).

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2016-04-21  

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