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Bifurcation analysis of mathematical cardiac models and its application to suppressing alternans

Research Project

Project/Area Number 23500367
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Bioinformatics/Life informatics
Research InstitutionKagawa University

Principal Investigator

KITAJIMA Hiroyuki  香川大学, 工学部, 教授 (90314905)

Research Collaborator YAZAWA Toru  首都大学, 東京都市教養学部, 助教
HORIKAWA Yo  香川大学, 工学部, 教授
TANAKA Yoshio  産業技術総合研究所四国センター, 主任研究員
HASHIMOTO Naoyuki  香川大学, 工学部
TADA Junya  香川大学, 工学部
TARUMOTO Tomoya  香川大学, 工学部
TSUYAMA Yusuke  香川大学, 工学部
KATAOKA Hiroaki  香川大学, 工学部
FUJIMOTO Kenichi  香川大学, 大学連携e-Learning教育支援センター四国, 助教
IOKA Eri  青山学院大学, 理工学部, 助教
Project Period (FY) 2011-04-28 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2013: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords分岐 / システムバイオロジー / 交互脈 / 数理モデル / 不整脈 / 心臓数理モデル
Outline of Final Research Achievements

In this study, we clarify the mechanism of generating alternans in mathematical cardiac models. Two systems are considered: (1) the system of making sustainable periodic oscillations and (2) the system of the ventricular muscle with ideal inputs. As a result, we obtain that the alternans occurs through abnormalities of the conductivity and the reversal potentials of the potassium ion, and it triggers cardiac death.

Report

(5 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (31 results)

All 2015 2014 2013 2012 2011 Other

All Journal Article (9 results) (of which Peer Reviewed: 9 results,  Open Access: 2 results,  Acknowledgement Compliant: 2 results) Presentation (21 results) Book (1 results)

  • [Journal Article] Robust bifurcation analysis based on optimization of degree of stability2015

    • Author(s)
      H. Kitajima, T. Yoshinaga, J. Imura and K. Aihara
    • Journal Title

      International Journal of Innovative Computing Information and Control

      Volume: 11 Pages: 153-162

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] A method for finding optimal parameter values using bifurcation-based procedure2014

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

      International Journal of Modern Nonlinear Theory and Application

      Volume: 3 Issue: 02 Pages: 37-43

    • DOI

      10.4236/ijmnta.2014.32006

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Design of hybrid optical tweezers system for controlled three-dimensional micromanipulation2013

    • Author(s)
      Y. Tanaka, S. Tsutsui and H. Kitajima
    • Journal Title

      Opt. Eng.

      Volume: 52 Issue: 04 Pages: 43002-43002

    • DOI

      10.1117/1.oe.52.4.043002

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Exponential transient rotating waves in a bistable ring of unidirectionally coupled maps2012

    • Author(s)
      Y. Horikawa and H. Kitajima
    • Journal Title

      Physica D

      Volume: 241 Issue: 2 Pages: 106-114

    • DOI

      10.1016/j.physd.2011.10.003

    • Related Report
      2012 Research-status Report 2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Transient chaotic rotating waves in a ring of unidirectionally coupled symmetric Bonhoeffer-van der Pol oscillators near a codimension-two bifurcation point2012

    • Author(s)
      Y. Horikawa and H. Kitajima
    • Journal Title

      Chaos

      Volume: 22 Issue: 3 Pages: 33115-33115

    • DOI

      10.1063/1.4737430

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Cluster synchronization in coupled systems with hub structure2012

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

      Physica D

      Volume: 241 Issue: 21 Pages: 1804-1810

    • DOI

      10.1016/j.physd.2012.08.009

    • NAID

      110007504840

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Autonomous control method for wireless sensor networks using pattern formation2012

    • Author(s)
      N. Hashimoto and H. Kitajima
    • Journal Title

      Journal of Signal Processing

      Volume: 16 Pages: 427-432

    • NAID

      110008675883

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Quasiperiodic and exponential transient phase waves and their bifurcations in a ring of unidirectionally coupled parametric oscillators2012

    • Author(s)
      Y. Horikawa and H. Kitajima
    • Journal Title

      Nonlinear Dynamics

      Volume: 70 Issue: 2 Pages: 1079-1094

    • DOI

      10.1007/s11071-012-0514-z

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Synchronization in Neurons Driven by Synaptic Currents with Multiple Frequencies2011

    • Author(s)
      E. Ioka, H. Kitajima and Y. Matsuya
    • Journal Title

      電気学会英文論文誌

      Volume: 131-C(3) Pages: 521-527

    • NAID

      10027804272

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Presentation] FPGAを用いた心臓興奮伝導シミュレータ2015

    • Author(s)
      多田潤矢
    • Organizer
      電子情報通信学会
    • Place of Presentation
      神戸
    • Year and Date
      2015-03-03 – 2015-03-04
    • Related Report
      2014 Annual Research Report
  • [Presentation] Alternans in a mathematical crustacean cardiac model2015

    • Author(s)
      T. Tarumoto
    • Organizer
      International Workshop on Nonlinear Circuits and Signal Processing
    • Place of Presentation
      クアラルンプール
    • Year and Date
      2015-02-27 – 2015-03-02
    • Related Report
      2014 Annual Research Report
  • [Presentation] 甲殻類の心臓数理モデルにおける不規則リズム2014

    • Author(s)
      樽本知弥
    • Organizer
      電子情報通信学会
    • Place of Presentation
      仙台
    • Year and Date
      2014-06-30 – 2014-07-01
    • Related Report
      2014 Annual Research Report
  • [Presentation] シグモイド関数を用いた不連続系から連続系への変換2014

    • Author(s)
      津山裕亮
    • Organizer
      電子情報通信学会
    • Place of Presentation
      仙台
    • Year and Date
      2014-06-30 – 2014-07-01
    • Related Report
      2014 Annual Research Report
  • [Presentation] CA-based autonomous control method for networks of randomly distributed sensors2012

    • Author(s)
      N. Hashimoto and H. Kitajima
    • Organizer
      International Workshop on Nonlinear Circuits and Signal Processing
    • Place of Presentation
      ホノルル,アメリカ合衆国
    • Related Report
      2011 Research-status Report
  • [Presentation] Synchronization in inhibitory coupled Morris-Lecar neurons2012

    • Author(s)
      M. Hayashi and H. Kitajima
    • Organizer
      International Workshop on Nonlinear Circuits and Signal Processing
    • Place of Presentation
      ホノルル,アメリカ合衆国
    • Related Report
      2011 Research-status Report
  • [Presentation] Bifurcation in mutually coupled three neurons with inhibitory synapses2011

    • Author(s)
      E. Ioka, Y. Matsuya and H. Kitajima
    • Organizer
      European Conference on Circuits Theory and Design
    • Place of Presentation
      リンショーピン,スエーデン
    • Related Report
      2011 Research-status Report
  • [Presentation] Exponential Transient Phase Waves in a Ring of Unidirectionally Coupled Parametric Oscillators2011

    • Author(s)
      Y. Horikawa and H. Kitajima
    • Organizer
      International Symposium on Nonlinear Theory and its Applications
    • Place of Presentation
      神戸
    • Related Report
      2011 Research-status Report
  • [Presentation] Cluster Synchronization in Inhibitory Coupled Neurons2011

    • Author(s)
      M. Hayashi and H. Kitajima
    • Organizer
      International Symposium on Nonlinear Theory and its Applications
    • Place of Presentation
      神戸
    • Related Report
      2011 Research-status Report
  • [Presentation] Autonomous control method for wireless sensor networks using pattern formation2011

    • Author(s)
      N. Hashimoto and H. Kitajima
    • Organizer
      International Symposium on Nonlinear Theory and its Applications
    • Place of Presentation
      神戸
    • Related Report
      2011 Research-status Report
  • [Presentation] Modified Luo-Rudy Model and its Bifurcation Analysis for Suppressing Alternans2011

    • Author(s)
      H. Kitajima and T. Yazawa
    • Organizer
      International Symposium on Nonlinear Theory and its Applications
    • Place of Presentation
      神戸
    • Related Report
      2011 Research-status Report
  • [Presentation] Exponential Transient Rotating Waves and Their Bifurcations in a Ring of Unidirectionally Coupled Bistable Lorenz Systems2011

    • Author(s)
      Y. Horikawa and H. Kitajima
    • Organizer
      International Union of Theoretical and Applied Mechanics
    • Place of Presentation
      京都
    • Related Report
      2011 Research-status Report
  • [Presentation] Bifurcation analysis of a cardiac mathematical model using GPU2011

    • Author(s)
      H. Kitajima, M. Hayashi and T. Yazawa
    • Organizer
      IEEE Workshop on Nonlinear Circuit Networks(招待講演)
    • Place of Presentation
      徳島
    • Related Report
      2011 Research-status Report
  • [Presentation] Autonomous control method for networks of randomly distributed sensors2011

    • Author(s)
      N. Hashimoto and H. Kitajima
    • Organizer
      IEEE Workshop on Nonlinear Circuit Networks
    • Place of Presentation
      徳島
    • Related Report
      2011 Research-status Report
  • [Presentation] Controlling Method to Avoid Bifurcations of Periodic Points Using Maximum Lyapunov Exponent

    • Author(s)
      K. Fujimoto, T. Otsu, T. Yoshinaga, T. Ueta, H. Kitajima and K. Aihara
    • Organizer
      Proc. NOLTA'13
    • Place of Presentation
      Santa Fe, USA
    • Related Report
      2013 Research-status Report
  • [Presentation] A simulation study of alternans-arrhythmia based on physiology of invertebrate heart

    • Author(s)
      T. Yazawa, H. Kitajima and A. Shimizu
    • Organizer
      Proc. WCECS'13
    • Place of Presentation
      San Francisco, USA
    • Related Report
      2013 Research-status Report
  • [Presentation] Autonomous control method for sensor networks using cellular automaton

    • Author(s)
      E. Nagao and H. Kitajima
    • Organizer
      Proc. NCSP'14
    • Place of Presentation
      Honolulu, USA
    • Related Report
      2013 Research-status Report
  • [Presentation] Alternans-Arrhythmia: A Simulation Study Based on Invertebrate Heart Neurobiology

    • Author(s)
      T. Yazawa and H. Kitajima
    • Organizer
      Proc. IMCIC'14
    • Place of Presentation
      Orlando, USA
    • Related Report
      2013 Research-status Report
  • [Presentation] Bifurcations of Synchronized States in Inhibitory Coupled Neurons

    • Author(s)
      K. Kai and H. Kitajima
    • Organizer
      IEICE, NOLTA'12
    • Place of Presentation
      スペイン,マヨルカ
    • Related Report
      2012 Research-status Report
  • [Presentation] Synchronization in Coupled Excitatory and Inhibitory Neurons with Ladder Structure

    • Author(s)
      E. Ioka, H. Kitajima, Y. Matsuya
    • Organizer
      IEICE, NOLTA'12
    • Place of Presentation
      スペイン,マヨルカ
    • Related Report
      2012 Research-status Report
  • [Presentation] Development of FPGA simulator for bifurcation analysis

    • Author(s)
      J. Tada, T. Yamaguchi and H. Kitajima
    • Organizer
      NCSP'13
    • Place of Presentation
      アメリカ合衆国,コナ
    • Related Report
      2012 Research-status Report
  • [Book] Robust bifurcation analysis based on degree of stability, in Analysis and Control of Complex Dynamical Systems2015

    • Author(s)
      H. Kitajima, T. Yoshinaga, J. Imura and K. Aihara
    • Publisher
      Springer
    • Related Report
      2014 Annual Research Report

URL: 

Published: 2011-08-05   Modified: 2019-07-29  

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