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2001 Fiscal Year Final Research Report Summary

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
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
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.

  • Research Products

    (10 results)

All Other

All Publications (10 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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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

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Published: 2003-09-17  

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