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Analysis of Stochastic Neuronal Models Using Eigenvalue Numerical Solution Methods that Overcome the Curse of Dimensionality

Research Project

Project/Area Number 18K11518
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 62010:Life, health and medical informatics-related
Research InstitutionHokkaido University

Principal Investigator

Yamanobe Takanobu  北海道大学, 医学研究院, 助教 (00322800)

Project Period (FY) 2018-04-01 – 2023-03-31
Project Status Completed (Fiscal Year 2022)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2020: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2019: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2018: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords確率的神経細胞モデル / ジャンプ-拡散過程 / イオンチャネルノイズ / 情報キャリア / 推移確率密度 / 線形作用素 / ノイズ / 固有値数値計算法
Outline of Final Research Achievements

Information in the nervous system is transmitted by spike trains, but it's unclear which statistic acts as the carrier. Neural network theory suggests the inputs to elements mirror the network structure and the carrier relies on the activation function. Neurons are noisy, nonlinear elements; spike generation depends on past activity. Hence, it's crucial to explore this dependency structure. We have developed a linear operator to depict statistical behavior and scrutinize the stochastic neuron model's input-output traits. This operator illuminates the model's behavior. However, deriving the transitional probability density function for the operator is challenging. Our research aims to overcome these hurdles.

Academic Significance and Societal Importance of the Research Achievements

神経系においてスパイク列のどの統計量が情報キャリアか明らかになっていない。この情報キャリアを明らかにすることは脳の正常機能を理解するための基礎となり、さらに臨床においては脊椎損傷患者の失われた運動機能を補綴する装置に必須である。このためにはスパイク生起時刻列データを扱うための適切な数学的枠組みを構築する必要がある。そのために我々は確率的神経細胞モデルの解析を行った。特に、神経細胞に存在するノイズのモデリング、確率的神経細胞モデルで入力がスパイク列へどのように変換されるかを調べる方法の構築を試みた。

Report

(6 results)
  • 2022 Annual Research Report   Final Research Report ( PDF )
  • 2021 Research-status Report
  • 2020 Research-status Report
  • 2019 Research-status Report
  • 2018 Research-status Report
  • Research Products

    (6 results)

All 2020 2019 2018 Other

All Int'l Joint Research (2 results) Journal Article (1 results) (of which Peer Reviewed: 1 results) Presentation (3 results) (of which Int'l Joint Research: 1 results)

  • [Int'l Joint Research] Sorbonne Universite(フランス)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] Sorbonne Universite(フランス)

    • Related Report
      2019 Research-status Report
  • [Journal Article] Asymptotic expansion of a nonlinear oscillator with a jump-diffusion process2018

    • Author(s)
      Yasushi Ishikawa, Takanobu Yamanobe
    • Journal Title

      Japan J. Indust. Appl. Math.

      Volume: 35 Issue: 2 Pages: 969-1004

    • DOI

      10.1007/s13160-018-0312-1

    • NAID

      210000185081

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Presentation] Approximation of transition density of the conductance based neuronal model with noise2020

    • Author(s)
      Takanobu Yamanobe
    • Organizer
      第58回日本生物物理学会年会
    • Related Report
      2020 Research-status Report
  • [Presentation] Approximation of transition density of the Morris-Lecar model including a diffusion term2020

    • Author(s)
      Takanobu Yamanobe
    • Organizer
      12th FENS Forum of Neuroscience
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] Asymptotic expansion of a stochastic FitzHugh-Nagumo model2019

    • Author(s)
      Takanobu Yamanobe
    • Organizer
      第57回日本生物物理学会年会
    • Related Report
      2019 Research-status Report

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Published: 2018-04-23   Modified: 2024-01-30  

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