中国物理B ›› 2007, Vol. 16 ›› Issue (9): 2635-2639.doi: 10.1088/1009-1963/16/9/023

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Canards in a rheodynamic model of cardiac pressure pulsations

谢峰1, 陈贤峰2   

  1. (1)Department of Applied Mathematics, Donghua University, Shanghai 201620, China；Division of Computational Science, E-Institute of Shanghai Universities, at SJTU, Shanghai 200030, China; (2)Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China;Division of Computational Science, E-Institute of Shanghai Universities, at SJTU, Shanghai 200030, China
  • 收稿日期:2007-01-24 修回日期:2007-02-13 出版日期:2007-09-20 发布日期:2007-09-20
  • 基金资助:
    Project supported in part by E-Institutes of Shanghai Municipal Education Commission of China (Grant No N.E03004).

Canards in a rheodynamic model of cardiac pressure pulsations

Xie Feng (谢峰)a)c) and Chen Xian-Feng (陈贤峰)b)c)   

  1. a Department of Applied Mathematics, Donghua University, Shanghai 201620, Chinab Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China; b ;Division of Computational Science, E-Institute of Shanghai Universities, at SJTU, Shanghai 200030, China
  • Received:2007-01-24 Revised:2007-02-13 Online:2007-09-20 Published:2007-09-20
  • Supported by:
    Project supported in part by E-Institutes of Shanghai Municipal Education Commission of China (Grant No N.E03004).

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摘要： This paper reports on the canard phenomenon occurring in a rheodynamic model of cardiac pressure pulsations. By singular perturbation techniques the corresponding parameter value at which canards exist is obtained. The physiological significance of canards in this model is given.

关键词: canards, rheodynamic model, cardiac self-oscillations, singular perturbations

Abstract: This paper reports on the canard phenomenon occurring in a rheodynamic model of cardiac pressure pulsations. By singular perturbation techniques the corresponding parameter value at which canards exist is obtained. The physiological significance of canards in this model is given.

Key words: canards, rheodynamic model, cardiac self-oscillations, singular perturbations

中图分类号:  (General theory and mathematical aspects)

  • 87.10.-e
87.19.Hh (Cardiac dynamics) 87.19.R- (Mechanical and electrical properties of tissues and organs)