Applied Mathematics and Mechanics

, Volume 18, Issue 12, pp 1125–1135 | Cite as

T-Y tube model of human ascending aortic input impedance

  • Wu Wangyi
  • Dai Guohao


This paper proposed a T-Y tube model to simulate the input impedance of arterial system. It improves and extends the asymmetric T-tube model which was first proposed by O' Rourke[1] and developed later by Liu et al.[2]. Based on the asymmetric T-tube model, a T-Y tube model was proposed by adding branching tubes which represent the iliac arteries. All the tubes are considered to be uniform, viscoelastic, longitudinally tethered cylindrical tubes. The upper tube terminates with a windkessel model, while the terminal arterioles of the lower tube are expressed as a resistance. After proper evaluation of the parameters, the impedance of the arterial system is calculated under normal physiological and hypertensive condition. The model can predict impedance in good agreement with the experimentally obtained data no matter in normal physiological condition or in pathological condition. In comparison with the asymmetric T-tube model, T-Y tube model is closer to anatomy structure of the human arterial system and at the same time much simpler than the extremely complex multiple-branching tube model. Therefore it will be a valuable model in studying the influences of various parameters on aorta impedance and ventricular-vascular coupling.

Key words

T-Y tube model ascending aortic input impedance multiplebranching tube model 


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  1. [1]
    M. F., O'Rourke, Pressure and flow waves in systemie arteries and the anatomical design of the arterial system,J. Appl. Physiol.,23, 2 (1967), 139–149.Google Scholar
  2. [2]
    Z. R., Liu, F., Shen and Frank C. P., Yin, Impedance of artrial system simulated by viseoelastic T-tubes terminated in windkessels,Am. J. Physiol.,256, 25 (1989), H1087-H1099.Google Scholar
  3. [3]
    W., Gundel, G., Cherry, B., Rajagopaian, L. B., Tan and G., Tee, Aortic input impedance in man: acute response to vasodilator drugs,Circulation,63, 6 (1981), 1305–1314.Google Scholar
  4. [4]
    M. F., O'Rourke and A. P., Avolio, Pulsatile flow and pressure in human systemic arteries: studies in man and a multi-branched model of the systemic arterial tree,Circ. Res.,46, 3 (1980), 363–372.Google Scholar
  5. [5]
    J. R. Womersley, The mathematical analysis of the systemic arterial elreulation in a state of oscillatory motion, Wright Air Development Center, Technical Report, WADCTR, 614 (1957).Google Scholar
  6. [6]
    M. G., Taylor, The input impedance of an assembly of randomly branching elastic tubes,J. Biophys.,8, 1 (1966), 29–51.Google Scholar
  7. [7]
    M. F. O'Rourke,Artertal Function in Health and Disease, Edinburgh, Churehill (1982).Google Scholar
  8. [8]
    W. W., Nichols, C. R., Conti, W. E., Waller and W. R., Milnor, Input impedance of the systemic circulation in man,Cire. Res.,40, 5 (1977), 451–458.Google Scholar
  9. [9]
    U., Gessner,Cardiovascular Fluid Dynamic, Vol. 1, Ed. by D. H., Bergel, Academic Press, London, New York (1972).Google Scholar

Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 1980

Authors and Affiliations

  • Wu Wangyi
    • 1
  • Dai Guohao
    • 1
  1. 1.Department of MechanicsPeking UniversityBeijingP. R. China

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