• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Singular perturbation/bifurcation analysis of the cardiac sinoatrial node model in consideration of its heterogeneous structure and the study on the generation mechanism of synchronized oscillations

Research Project

Project/Area Number 24500274
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Sensitivity informatics/Soft computing
Research InstitutionKyoto University

Principal Investigator

DOI Shinji  京都大学, 工学(系)研究科(研究院), 教授 (50217600)

Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords心臓 / ペースメーカ / 洞房結節 / 同期振動 / 数理モデル / 分岐解析 / 特異摂動 / 心臓洞房結節 / 振動子結合系 / 同期リズム / 特異摂動系 / 分岐現象 / ヒト心室筋細胞モデル / 分岐
Outline of Final Research Achievements

Using a mathematical model of cardiac sinoatrial node cells, we study the generation mechanism of cardiac rhythm. It is shown that the characteristics as singularly perturbed system of the single cell model induce a strange (spurious) chaotic rhythm when numerical precisions are not enough. In consideration of the heterogeneous or inhomogeneous structure of sinoatrial node, we also analyzed the bifurcation structure of different types of sinoatrial cells electrically coupled through gap junctions. As a result, it is shown that the coupled system of heterogeneous cells shows different synchronized rhythms from those of homogeneous coupled system.

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (30 results)

All 2015 2014 2013 2012

All Journal Article (14 results) (of which Acknowledgement Compliant: 3 results,  Peer Reviewed: 5 results) Presentation (16 results)

  • [Journal Article] 過分極活性化電流を導入した心室筋細胞モデルの分岐解析による生物学的ペースメーカ作成法の検討2015

    • Author(s)
      小川芳樹, 土居伸二
    • Journal Title

      電子情報通信学会技術研究報告

      Volume: NLP2014 Pages: 71-76

    • Related Report
      2014 Annual Research Report
    • Acknowledgement Compliant
  • [Journal Article] ヒト心室筋細胞モデルの分岐解析によるペースメーカ活動の発現法に関する研究2014

    • Author(s)
      小川芳樹, 土居伸二
    • Journal Title

      電子情報通信学会技術研究報告

      Volume: MBE2014 Pages: 51-55

    • Related Report
      2014 Annual Research Report
    • Acknowledgement Compliant
  • [Journal Article] An approach to the biological pacemaker engineering based on the bifurcation analysis of a human ventricular cell model2014

    • Author(s)
      Yoshiki Ogawa, Shinji Doi
    • Journal Title

      Proc. of NOLTA2014 (2014 International Symposium on Nonlinear Theory and its Applications

      Volume: 1 Pages: 427-430

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Generation of slow phase-locked oscillation and variability of the interspike intervals in globally coupled neuronal oscillators2014

    • Author(s)
      Ryotaro Tsuneki, Shinji Doi, Junko Inoue
    • Journal Title

      Mathematical Biosciences and Engineering

      Volume: 11 Issue: 1 Pages: 125-138

    • DOI

      10.3934/mbe.2014.11.125

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Influence of a secondarily slow time scale on canards and Hopf bifurcations in a singularly perturbed system2014

    • Author(s)
      T.Kodama, S.Doi
    • Journal Title

      Proc. of NCSP'14 (2014 RISP International Workshop on Nonlinear Circuits, Communications and Signal Processing)

      Volume: 1 Pages: 197-200

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Canards, torus bifurcations and slow spiking near a Hopf bifurcation in singularly perturbed systems2013

    • Author(s)
      T.Kodama, S.Doi
    • Journal Title

      Proc. of The 3rd International Symposium on Innovative Mathematical Modeling (ISIMM2013; Tokyo, 12-15 November 2013)

      Volume: 1 Pages: 95-95

    • Related Report
      2013 Research-status Report
  • [Journal Article] 特異摂動系におけるアヒル解の収束・発散ダイナミクスと数値計算精度の関係2013

    • Author(s)
      児玉貴大,土居伸二
    • Journal Title

      電子情報通信学会技術研究報告

      Volume: NLP2013 Pages: 53-58

    • Related Report
      2013 Research-status Report
  • [Journal Article] Very Slow Synchronization and Variability of Interspike Intervals in a Globally Coupled Neuronal Oscillators2012

    • Author(s)
      Ryotaro Tsuneki, Shinji Doi, Junko Inoue
    • Journal Title

      The Tenth International Neural Coding Workshop, Prague, Czech Republic, 2-7, September, 2012, Book of Abstracts

      Volume: 1 Pages: 137-138

    • Related Report
      2012 Research-status Report
  • [Journal Article] Numerical Analysis of the Canard Solution in a Singularly Perturbed System Using the High Precision Computation Library2012

    • Author(s)
      Takahiro Kodama, Shinji Doi
    • Journal Title

      Proc. ITC-CSCC 2012(International Technical Conference on Circuits/Systems, Computers and Communications, July 15 - 18, 2012, Sapporo Convention Center, Sapporo, Japan)

      Volume: 1

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] A Study on the Rhythm Modulation Mechanism in Globally Coupled Neuronal Oscillators2012

    • Author(s)
      Ryotaro Tsuneki, Shinji Doi
    • Journal Title

      Proc. ITC-CSCC 2012(International Technical Conference on Circuits/Systems, Computers and Communications, July 15 - 18, 2012, Sapporo Convention Center, Sapporo, Japan)

      Volume: 1

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] 特異摂動系におけるアヒル解の数値計算について2012

    • Author(s)
      児玉貴大,土居伸二
    • Journal Title

      電子情報通信学会技術研究報告

      Volume: NLP2012 Pages: 45-50

    • NAID

      120005540641

    • Related Report
      2012 Research-status Report
  • [Journal Article] 神経振動子の大域結合系におけるリズム調節に関する一考察2012

    • Author(s)
      恒木亮太郎,土居伸二
    • Journal Title

      第55回 自動制御連合講演会論文集

      Volume: 1 Pages: 1198-1203

    • Related Report
      2012 Research-status Report
  • [Journal Article] 神経振動子の大域結合系における遅い同期振動について(II)2012

    • Author(s)
      恒木亮太郎,土居伸二
    • Journal Title

      電子情報通信学会技術研究報告

      Volume: NLP2012 Pages: 35-39

    • NAID

      110009626140

    • Related Report
      2012 Research-status Report
  • [Journal Article] 特異摂動系におけるアヒル解の数値的考察2012

    • Author(s)
      児玉貴大,土居伸二
    • Journal Title

      電子情報通信学会技術研究報告

      Volume: NLP2012 Pages: 41-46

    • NAID

      110009626141

    • Related Report
      2012 Research-status Report
  • [Presentation] 細胞の異種性を考慮した心臓ペースメーカ細胞結合系モデルの解析2015

    • Author(s)
      永井拓未
    • Organizer
      電子情報通信学会非線形問題研究会
    • Place of Presentation
      早稲田大学,東京
    • Year and Date
      2015-06-11 – 2015-06-12
    • Related Report
      2014 Annual Research Report
  • [Presentation] 心室筋細胞モデルにおいてイオン電流の変化によって発生するペースメーカ活動の定量的評価2015

    • Author(s)
      小川芳樹
    • Organizer
      電子情報通信学会非線形問題研究会
    • Place of Presentation
      早稲田大学,東京
    • Year and Date
      2015-06-11 – 2015-06-12
    • Related Report
      2014 Annual Research Report
  • [Presentation] 過分極活性化電流を導入した心室筋細胞モデルの分岐解析による生物学的ペースメーカ作成法の検討2015

    • Author(s)
      小川芳樹
    • Organizer
      電子情報通信学会非線形問題研究会
    • Place of Presentation
      コンパルホール,大分
    • Year and Date
      2015-01-26 – 2015-01-27
    • Related Report
      2014 Annual Research Report
  • [Presentation] An approach to the biological pacemaker engineering based on the bifurcation analysis of a human ventricular cell model2014

    • Author(s)
      Yoshiki Ogawa
    • Organizer
      2014 International Symposium on Nonlinear Theory and its Applications
    • Place of Presentation
      Luzern, Switzerland
    • Year and Date
      2014-09-14 – 2014-09-18
    • Related Report
      2014 Annual Research Report
  • [Presentation] Bifurcation analysis of a human ventricular cell model for biological pacemaker engineering2014

    • Author(s)
      Yoshiki Ogawa
    • Organizer
      The Joint Annual Meeting of the Japanese Society for Mathematical Biology and the Society for Mathematical Biology
    • Place of Presentation
      大阪国際会議場
    • Year and Date
      2014-07-28 – 2014-08-01
    • Related Report
      2014 Annual Research Report
  • [Presentation] ヒト心室筋細胞モデルの分岐解析によるペースメーカ活動の発現法に関する研究2014

    • Author(s)
      小川芳樹
    • Organizer
      電子情報通信学会MEとバイオサイバネティックス研究会
    • Place of Presentation
      北海道大学,札幌
    • Year and Date
      2014-06-13
    • Related Report
      2014 Annual Research Report
  • [Presentation] Influence of a secondarily slow time scale on canards and Hopf bifurcations in a singularly perturbed system2014

    • Author(s)
      T.Kodama
    • Organizer
      NCSP'14 (2014 RISP International Workshop on Nonlinear Circuits, Communications and Signal Processing)
    • Place of Presentation
      Honolulu, Hawaii, USA
    • Related Report
      2013 Research-status Report
  • [Presentation] Canards, torus bifurcations and slow spiking near a Hopf bifurcation in singularly perturbed systems2013

    • Author(s)
      T.Kodama
    • Organizer
      The 3rd International Symposium on Innovative Mathematical Modeling (ISIMM2013)
    • Place of Presentation
      Tokyo, Japan
    • Related Report
      2013 Research-status Report
  • [Presentation] 特異摂動系におけるアヒル解の収束・発散ダイナミクスと数値計算精度の関係2013

    • Author(s)
      児玉貴大
    • Organizer
      電子情報通信学会非線形問題研究会
    • Place of Presentation
      沖縄県宮古島
    • Related Report
      2013 Research-status Report
  • [Presentation] Very Slow Synchronization and Variability of Interspike Intervals in a Globally Coupled Neuronal Oscillators2012

    • Author(s)
      Ryotaro Tsuneki
    • Organizer
      The Tenth International Neural Coding Workshop
    • Place of Presentation
      Prague, Czech Republic
    • Related Report
      2012 Research-status Report
  • [Presentation] Numerical Analysis of the Canard Solution in a Singularly Perturbed System Using the High Precision Computation Library2012

    • Author(s)
      Takahiro Kodama
    • Organizer
      International Technical Conference on Circuits/Systems, Computers and Communications
    • Place of Presentation
      Sapporo, Japan
    • Related Report
      2012 Research-status Report
  • [Presentation] A Study on the Rhythm Modulation Mechanism in Globally Coupled Neuronal Oscillators2012

    • Author(s)
      Ryotaro Tsuneki
    • Organizer
      International Technical Conference on Circuits/Systems, Computers and Communications
    • Place of Presentation
      Sapporo, Japan
    • Related Report
      2012 Research-status Report
  • [Presentation] 特異摂動系におけるアヒル解の数値計算について2012

    • Author(s)
      児玉貴大
    • Organizer
      電子情報通信学会非線形問題研究会
    • Place of Presentation
      福井市
    • Related Report
      2012 Research-status Report
  • [Presentation] 神経振動子の大域結合系におけるリズム調節に関する一考察2012

    • Author(s)
      恒木亮太郎
    • Organizer
      第55回 自動制御連合講演会
    • Place of Presentation
      京都市
    • Related Report
      2012 Research-status Report
  • [Presentation] 神経振動子の大域結合系における遅い同期振動について(II)2012

    • Author(s)
      恒木亮太郎
    • Organizer
      電子情報通信学会非線形問題研究会
    • Place of Presentation
      鹿児島市
    • Related Report
      2012 Research-status Report
  • [Presentation] 特異摂動系におけるアヒル解の数値的考察2012

    • Author(s)
      児玉貴大
    • Organizer
      電子情報通信学会非線形問題研究会
    • Place of Presentation
      鹿児島市
    • Related Report
      2012 Research-status Report

URL: 

Published: 2013-05-31   Modified: 2019-07-29  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi