Advertisement

Acta Mechanica Sinica

, Volume 5, Issue 3, pp 285–292 | Cite as

A coupling model of left ventricle and arterial system

  • Liu Zhaorong
  • Zhou Yongsheng
Article

Abstract

A simple left ventricular model and a systemic arterial model of a tapered tube with eight branches are used in this paper which are combined into a mathematical coupling model of heart and arterial system to study the interaction of the heart and the arterial system.

Key Words

ventricular and vascular coupling mathematical model pulse wave afterload 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Anliker, M., et al., Nonlinear analysis of flow pulses and shock, waves in arteries,Z. Angrew. Math. Phys.,22, (1971), 217–246; 563–581.CrossRefGoogle Scholar
  2. [2]
    Anliker, M., et al., Prediction of shape changes of propagating flow and pressure pulses in human arteries,The Arterial System (1978), 15–34.Google Scholar
  3. [3]
    Corey, P. D., et al., A combined left ventricular/systemic arterial model,J. Biomech.,8,(1975), 9–15.CrossRefGoogle Scholar
  4. [4]
    Hill, A. V., Heat of shortening and dynamic constants of muscle,Proc. R. Soc. Lond.(Biol.),126,(1938), 136–195.CrossRefGoogle Scholar
  5. [5]
    Liu, Z.R. & Zhou, Y.S., A computer model of pulse wave and input impedance in human arteries,Applied Mathematics and Mechanics,9,5(1988), (in Chinese).Google Scholar
  6. [6]
    McDonald, D.A., Blood Flow in Arteries, Edward Arnold, London (1974).Google Scholar
  7. [7]
    O'Rourke, M.F., Arterial Function in Health and Disease, Livingstone, Edinburg(1982).Google Scholar
  8. [8]
    Stettler, J.C., et al., Theoretical analysis of arterial hemodynamics including the influence of bifurcation,Annals of Biomedical Engineering,9,(1981), 145–164.CrossRefGoogle Scholar
  9. [9]
    Wemple, R.R. and Mockros, L.F., Pressure and flow in the systemic arterial system.J. Biomech.,5, (1972), 629–641.CrossRefGoogle Scholar

Copyright information

© Chinese Society of Theoretical and Applied Mechanics 1989

Authors and Affiliations

  • Liu Zhaorong
    • 1
  • Zhou Yongsheng
    • 1
  1. 1.Department of Applied MechanicsFudan UniversityFudanChina

Personalised recommendations