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Bifurcation analysis method for transient phenomena and its application to mathematical cardiac systems

Research Project

Project/Area Number 20K11853
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 60100:Computational science-related
Research InstitutionKagawa University

Principal Investigator

Kitajima Hiroyuki  香川大学, 創造工学部, 教授 (90314905)

Project Period (FY) 2020-04-01 – 2023-03-31
Project Status Completed (Fiscal Year 2022)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2022: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2021: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2020: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Keywords心臓数理モデル / 分岐 / 早期後脱分極 / 過渡現象 / 数理心臓モデル / 一過性EAD / 数理モデル / EAD
Outline of Research at the Start

本研究は,一過性の早期後脱分極(EAD)の発生メカニズムを数理的に解明する.EADは心電図におけるQT延長や心室細動,更には心機能停止につながる非常に危険な不整脈である.従来の数理モデルを用いた研究では,EADが常時起こる持続性のみしか解析できなかったが,本研究では持続性よりも早期に起こる一過性EADを分岐解析するための手法を開発する. この新たに開発する手法の分岐解析により,どのイオン電流の変化が一過性EADの発生に係わるのかが明らかとなる.それにより,イオンチャンネル開閉性能を制御する創薬につながり,結果として心臓突然死のリスクを減らすことができると考える.

Outline of Final Research Achievements

In this study, we developed effective algorithms to investigate transient early afterdepolarizations (EADs) in mathematical cardiac systems. Using this algorithm, we obtained that the transient EADs were caused by increased L-type calcium current and increased intracellular sodium concentration. We also reproduced the deteriorating process of the heart such as normal states to ventricular fibrillation through delayed afterdepolarization (DAD), EAD, and tachycardia.

Academic Significance and Societal Importance of the Research Achievements

従来の数理モデルを用いた解析では,持続的に表れる現象のみが解析対象であった.本研究では,一時的に表れる現象を数理的に解析する手法を提案した.それを心臓数理モデルに適用し,一時的に発生する不整脈の解析に応用した.結果として,持続的に表れる前の,一時的に表れる不整脈が発生するメカニズムを数理的に解明した.それらのことにより,突然死に繋がる不整脈が起こる原因の一端が解明され,突然死のリスクを減らすことにつながる.

Report

(4 results)
  • 2022 Annual Research Report   Final Research Report ( PDF )
  • 2021 Research-status Report
  • 2020 Research-status Report
  • Research Products

    (13 results)

All 2023 2022 2021 2020

All Journal Article (1 results) (of which Peer Reviewed: 1 results) Presentation (12 results) (of which Int'l Joint Research: 6 results)

  • [Journal Article] Bifurcation analysis on generation of early afterdepolarization in a mathematical cardiac model2021

    • Author(s)
      H. Kitajima and T. Yazawa
    • Journal Title

      International Journal of Bifurcation and Chaos

      Volume: 31 Issue: 12 Pages: 2150179-2150179

    • DOI

      10.1142/s0218127421501790

    • Related Report
      2021 Research-status Report
    • Peer Reviewed
  • [Presentation] 細胞内カリウムイオン濃度がEADの発生に与える影響2023

    • Author(s)
      近藤大輔, 北島博之
    • Organizer
      電子情報通信学会
    • Related Report
      2022 Annual Research Report
  • [Presentation] Analysis of arrhythmias generation in a mathematical ventricular cell model2022

    • Author(s)
      R. Fujiwara and H. Kitajima
    • Organizer
      NOLTA'22
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Transient early afterdepolarization in a mathematical cardiac model2022

    • Author(s)
      H. Yamamoto and H. Kitajima
    • Organizer
      NOLTA'22
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Modification of a mathematical cardiac model to produce more realistic membrane potentials2022

    • Author(s)
      K. Abe, H. Kitajima and T. Yazawa
    • Organizer
      NOLTA'22
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 膜電位波形に着目した心臓数理モデルの修正2022

    • Author(s)
      阿部健登,北島博之,矢澤徹
    • Organizer
      電子情報通信学会
    • Related Report
      2021 Research-status Report
  • [Presentation] サーカディアンリズムに着目した心臓数理モデルの解析2022

    • Author(s)
      山本悠貴,北島博之
    • Organizer
      電子情報通信学会
    • Related Report
      2021 Research-status Report
  • [Presentation] EADの発生に関わるパラメータの調査2021

    • Author(s)
      近藤大輔, 北島博之
    • Organizer
      電子情報通信学会
    • Related Report
      2021 Research-status Report
  • [Presentation] 心筋細胞モデルにおける EAD の発生に関する分岐解析2021

    • Author(s)
      藤原崚佑, 北島博之
    • Organizer
      電子情報通信学会
    • Related Report
      2021 Research-status Report
  • [Presentation] Simplification of a crustacean mathematical cardiac model and its bifurcation analysis2021

    • Author(s)
      D. Kondo and H. Kitajima
    • Organizer
      International Workshop on Nonlinear Circuits, Communications and Signal Processing
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] Classification of chaos and noise using convolution neural network2021

    • Author(s)
      R. Fukutomi and H. Kitajima
    • Organizer
      International Workshop on Nonlinear Circuits, Communications and Signal Processing
    • Related Report
      2020 Research-status Report
  • [Presentation] Bifurcation analysis for EAD generation in a mathematical ventricular cell model2021

    • Author(s)
      R. Fujiwara and H. Kitajima
    • Organizer
      International Workshop on Nonlinear Circuits, Communications and Signal Processing
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] Transition mechanism between transient and steady EADs in a mathematical cardiac model2020

    • Author(s)
      H. Kitajima and T. Yazawa
    • Organizer
      International Conference Complex Medical and Engineering
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research

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Published: 2020-04-28   Modified: 2024-01-30  

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