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A numerical model of left ventricle and aortic valve function of its afterload (I)

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Abstract

Due to the study of the function of heart and aortic valve, we set up a physical model of left ventricle, aortic valve and afterload and derive theoretical equation of each part from the model. Then we calculate the basic equations within physiology and impair parameters. Based on this, we will discuss fully in the next paper the effect of left ventricular afterload on valve opening, ejection and valve function, etc.

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References

  1. Yin, Frank, C.P.,Ventricular/Vascular Coupling, Springer-Verlag New York Inc. (1987).

  2. Fung, Y.C., Mathematical representation of the mechanical properties of heart muscle,J. of Biomechanics,3 (1970), 381–404.

    Article  Google Scholar 

  3. Lee, C.S.F. and Talbot, A fluid-mechanical study of the closure of heart valves,J. of Fluid Mechanics,91 (1979), 41–63.

    Google Scholar 

  4. Liu Zhao-rong,Hemodynamics, Fudan University Press (1986). (in Chinese)

  5. Goldwyn, R.M. and T.B. Watt, Arterial pressure pulse contour analysis via a mathematical model for the clinical quantification of human vascular properties,IEEE Trans., BME-14 (1967), 11–17.

    Google Scholar 

  6. Noordergraaf, A.,Circulatory System Dynamics, Ch.4, New York Academic (1978).

  7. Avolio, A.P., Hemodynamic studies and modelling of the mammalian arterial system, PhD. Thesis, University of New South Wales, Sydney (1976).

    Google Scholar 

  8. Fung, Y.C.,Biomechanics. Science Press (1979). (in Chinese)

  9. Fung, Y.C., Comparison of different models of the heart muscle,J. of Biomechanics,4 (1971). 289–295.

    Article  Google Scholar 

  10. Tao Zu-lai,Biofluid Mechanics. Science Press (1984). (in Chinese)

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Authors and Affiliations

  1. Dept. of Applied Mechanics, Fudan University, Shanghai

    Liu Zhao-rong & Yin Yong-yi

Authors
  1. Liu Zhao-rong
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  2. Yin Yong-yi
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Communicated by Wu Wang-yr

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Zhao-rong, L., Yong-yi, Y. A numerical model of left ventricle and aortic valve function of its afterload (I). Appl Math Mech 10, 153–162 (1989). https://doi.org/10.1007/BF02014822

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  • DOI: https://doi.org/10.1007/BF02014822

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