The bulletin of mathematical biophysics

, Volume 29, Issue 2, pp 311–318 | Cite as

Pulse velocities in an orthotropic elastic tube

  • I. Mirsky
Article

Abstract

Moens-Korteweg relations are developed for the velocity of wave propagation through an orthotropic elastic tube based on the three dimensional equations of elasticity. Numerical examples are presented for the femoral artery of a dog and several other orthotropic materials. These results are compared with those obtained from the equations of motion for an orthotropic elastic medium.

Keywords

Pulse Wave Velocity Stress Equation Radial Displacement Pulse Velocity Orthotropic Material 

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Literature

  1. Attinger, F. M. L. 1964. “Some Problems Concerning the Analysis of the Mechanical Properties of the Blood Vessel Wall.” Ph.D. Thesis, University of Pennsylvania.Google Scholar
  2. Fenn, W. O. 1957. “Changes in Length of Blood Vessels on Inflation.” InTissue Elasticity, Ed., J. Remington. Am. Physiol. Soc., 154–167.Google Scholar
  3. Korteweg, D. J. 1978. “Über die Fortpflanzungsgeschwindigkeit des Schalles in Elastischen Rohren.”Ann. der Phys. u. Chem. Neue Folge,5, 525.Google Scholar
  4. Lambossy, P. and Müller, A. 1954. “Vitesse des ondes dans les tubes. Influence de l’anisotropie de la paroi.”Helv. Physiol. et Pharmacol. Acta,12, 217.Google Scholar
  5. Lekhnitski, S. G. 1963.Theory of Elasticity of an Anisotropic Elastic Body. San Francisco: Holder-Day.Google Scholar
  6. Mirsky, I. 1967. “Wave Propagation in a Viscous Fluid contained in an Orthotropic Elastic Tube.”Biophysical Journal,7, in press.Google Scholar
  7. Moens, A. I. 1878.Die Pulsekurve. Leiden: E. J. Brill.Google Scholar
  8. Young, Thomas. 1808. “Of the Propagation of an Impulse through an Elastic Tube.” London.Trans. Roy. Soc.,98, 164.Google Scholar

Copyright information

© N. Rashevsky 1967

Authors and Affiliations

  • I. Mirsky
    • 1
  1. 1.Hughes Aircraft CompanyCulver City

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