Journal of Biological Physics

, Volume 37, Issue 1, pp 51–60 | Cite as

The design of a reflectionless arterial prosthesis

  • Guy Richard Kol
  • Paul Woafo
Original Paper


We propose a new technique to characterize a reflectionless arterial prosthesis. The corresponding transmission and reflection coefficients are determined from the geometric and the elastic properties of the arterial wall, and the interaction between the latter and the prosthesis are studied accordingly.


Blood waves Transmission coefficient Reflection coefficient Prosthesis 


  1. 1.
    Fung, Y.C.: Biodynamics: Circulation. Springer, New York (1984)Google Scholar
  2. 2.
    Pedley, T.J.: Perspectives in Fluid Mechanics. Cambridge University Press, Cambridge (2000)Google Scholar
  3. 3.
    Yomosa, S.: Solitary waves in large blood vessels. J. Phys. Soc. Jpn. 56, 506–520 (1987)CrossRefMathSciNetADSGoogle Scholar
  4. 4.
    Noubissie, S., Woafo, P.: Dynamics of solitary blood waves in arteries with prostheses. Phys. Rev. E 67, 0419111–0419118 (2003)CrossRefGoogle Scholar
  5. 5.
    Demiray, H: Weakly nonlinear waves in a viscous fluid contained in a viscoelastic tube with variable cross-section. Eur. J. Mech. 24, 337–347 (2005)MATHCrossRefMathSciNetGoogle Scholar
  6. 6.
    Ntchantcho, R., Noubissie, S., Woafo, P.: Numerical simulation of solitary blood waves in an elastic tube subjected to a localised deformation. Commun. Nonlinear Sci. Numer. Simulat. 12, 1572–1583 (2007)MATHCrossRefMathSciNetADSGoogle Scholar
  7. 7.
    Paquerot, J.F., Remoissenet, M.: Dynamics of nonlinear blood pressure waves in large arteries. Phys. Lett. A 194, 77–82 (1994)CrossRefADSGoogle Scholar
  8. 8.
    Noubissie, S., Woafo, P.: Dynamics of solitary waves through taper-thin elastic tube with localised deformation. Phys. Scr. 69, 249–256 (2004)MATHCrossRefADSGoogle Scholar
  9. 9.
    Paquerot, J.F., Lambrakos, S.G.: Monovariable representation of blood flow in large elastic arteries. Phys. Rev. E 49, 3432–3439 (1994)CrossRefADSGoogle Scholar
  10. 10.
    Duan, W.S., Wang, B.R., Wei, R.J.: The decay of soliton in small blood arteries. J. Phys. Soc. Jpn. 65, 945–947 (1994)CrossRefADSGoogle Scholar
  11. 11.
    Tortoriello, A., Pedrizzetti, G.: Flow-tissue interaction with compliance mismatch in a model stented artery. J. Biomech. 37, 1–11 (2004)CrossRefGoogle Scholar
  12. 12.
    Khir, A.W., Parker, K.H.: Measurements of wave speed and reflected waves in elastic tubes and bifurcations. J. Biomech. 35, 775–783 (2002)CrossRefGoogle Scholar
  13. 13.
    Khir, A.W., Parker, K.H.: Wave intensity in the ascending aorta: effects of arterial occlusion. J. Biomech. 38, 647–655 (2005)CrossRefGoogle Scholar
  14. 14.
    Formaggia, L., Lamponi, D., Quarteroni, A.: One-dimensional models for blood flow in arteries. J. Eng. Math. 47, 251–276 (2003)MATHCrossRefMathSciNetGoogle Scholar
  15. 15.
    Akio, S., Masamitsu, H., Yoshihisa, U.: Pressure pulse wave for blood flow in the aorta from the viewpoint of the nonlinear Toda lattice. Phys. Lett. A 221, 395–399 (1996)CrossRefGoogle Scholar
  16. 16.
    Xie, J., Zhou, J., Fung, Y.C.: Bending of blood vessel wall: stress–strain laws of the intima-media and adventitial layers. J. Biomech. Eng. 117, 136–145 (1995)CrossRefGoogle Scholar
  17. 17.
    Duan, W.S., Wang, B.R., Wei, R.J.: Reflection and transmission blood waves due to arterial branching. Phys. Rev. E 55, 1773–1778 (1997)CrossRefADSGoogle Scholar
  18. 18.
    Stergiopulos, N., Spiridon, M., Pythoud, F., Meister, J.J.: On the wave transmission and reflection properties of stenoses. J. Biomech. 29, 31–38 (1996)CrossRefGoogle Scholar
  19. 19.
    Li, J.K.: Dynamics of the vascular system. In: Series on Bioengineering & Biomedical Engineering, vol. 1. World Scientific, Singapore (2004)Google Scholar
  20. 20.
    Berry, J.L., Manoach, E., Mekkaoui, C., Rolland, P.H., Moore, J.E., Rachev, A.: Hemodynamics and wall mechanics of a compliance matching stent: in vitro and in vivo analysis. J. Vasc. Interv. Radiol. 13, 97–105 (2002)CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.Laboratory of Modelling and Simulation in Engineering and Biological PhysicsYaoundéCameroon

Personalised recommendations