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Effects of twist on pulse waves in arteries

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Abstract

The artery is treated as a thick-walled cylindrical shell. Using the large deformation theory, an analytical expression for the pulse wave speed is obtained and the effect of twist on the wave speed is discussed. Numerical results indicate that although phase velocity increases with pressure, it decreases with increasing twist angle.

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Literature

  • Anliker, M., M. B. Histand and E. Ogden. 1968. “Dispersion and Attenuation of Small Artificial Pressure Waves in the Canine Aorta.”Circulation Res. 23, 539–551.

    Google Scholar 

  • Atabek, H. B. and H. S. Lew. 1966. “Wave Propagation Through a Viscous Incompressible Fluid Contained in an Initially Stressed Elastic Tube.”Biophys. J. 7 480–503.

    Google Scholar 

  • Bergel, D. H. 1961. “The Static Elastic Properties of the Arterial Wall.”J. Physiol. 156, 445–457.

    Google Scholar 

  • Demiray, H. 1972. “A Note on the elasticity of Soft Biological Tissues.”J. Biomech. 5, 309–311.

    Article  Google Scholar 

  • — 1976. “Some Basic Problems in Biophysics.”Bull. math. Biol. 38, 701–711.

    MATH  Google Scholar 

  • — 1981. “Large Deformation Analysis of some Soft Biological Tissues.”Trans. Am. Soc. mech. Engrs., J. biomech. Engng 103, 73–78.

    Article  Google Scholar 

  • Eringen, A. C. 1962.Nonlinear Theory of Continuous Media. New York: McGraw-Hill.

    Google Scholar 

  • McDonald, D. A. 1966. “Regional Pulse Wave Velocity in the Arterial Tree.” Scientific Memo No. 23. Research Institute, Presbyterian University of Pennsylvania medical Centers, Philadelphia.

    Google Scholar 

  • Mirsky, I. 1967. “Wave Propagation in a Viscous Fluid Contained in an Orthotropic Elastic Tube.”Biophys. J. 7, 165–186.

    Article  Google Scholar 

  • Moodie, T. B. and Haddow, J. B. 1977. “Waves in Thin Walled Elastic Tubes Containing an Incompressible Inviscid Fluid.”Int. J. Non-Linear Mech. 12, 223–231.

    Article  MATH  Google Scholar 

  • Rachev, A. I. 1979. “Effects of Transmural Pressure and Muscular Activity on Pulse Waves in Arteries.”Trans. Am. Soc. mech. Engrs 112, 199–123.

    Google Scholar 

  • Simon, B. R., A. S. Kobayashi, D. E. Strandness and C. A. Wiederhielm. 1972. “Reevaluation of Arterial Constitutive Laws.”Circulation Res.30, 491–500.

    Google Scholar 

  • Vaishnav, R. N. and J. T. Young. 1972. “Nonlinear Anisotropic Properties of the Canine Aorta.”Biophys. J. 12, 1008–1027.

    Google Scholar 

  • Womersley, J. R. 1957. “An Elastic Tube Theory of Pulse Transmission and Oscillatory Flow in Mammalian Arteries.” W.A.D.C. Technical Report, TR56-614.

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Authors and Affiliations

  1. Tübitak, Research Institute for Basic Sciences, Gebze-Kocaeli

    Hilmi Demiray

  2. Faculty of Sciences, Technical University of Istanbul, Maslak, Istanbul, Turkey

    Hilmi Demiray

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  1. Hilmi Demiray
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Demiray, H. Effects of twist on pulse waves in arteries. Bltn Mathcal Biology 47, 495–502 (1985). https://doi.org/10.1007/BF02460009

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  • DOI: https://doi.org/10.1007/BF02460009

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