Liu Zhao-rong, Yin Yong-yi. A Numerical Model of Left Ventricle and Aortic Valve Function of Its Afterload(I)[J]. Applied Mathematics and Mechanics, 1989, 10(2): 145-154.
 Citation: Liu Zhao-rong, Yin Yong-yi. A Numerical Model of Left Ventricle and Aortic Valve Function of Its Afterload(I)[J]. Applied Mathematics and Mechanics, 1989, 10(2): 145-154.

# A Numerical Model of Left Ventricle and Aortic Valve Function of Its Afterload(I)

• Publish Date: 1989-02-15
• Due to the study of the function of heart and aoritic 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 phystology 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.
•  [1] Yin,Frank,C.P.,Ventricular/Vascular Coupling,Springgr-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. [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. [4] 柳兆荣,《心血管流体力学》,复旦大学出版社(1986). [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. [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). [8] Fung,Y.C.,《生物力学》,科学出版社(1979). [9] Fung.Y.C.,Comparison of different models of the heart muscle,J.of Biomechanics,4(1971). 289-295. [10] 陶祖莱,《生物流体力学》,科学出版社(1984).

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