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The effects of blood viscoelasticity on the pulse wave in arteries

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Abstract

Based on Womersley's theory, the frequency equation satisfied by a complex wave velocity of a pulse wave in arteries was generalized to viscoelastic blood, a general formula of the complex wave velocity with regard to both linearly viscoelastic arteries and linearly viscolelastic blood was obtained, and the effects of the viscoelastic property of blood on the phase velocity and the wave attenuation of the pulse wave using the formula systematically was discussed. It is concluded that the influence of the blood elasticity on the wave propagation of a pulse wave in arteries is weaker than that of the arterial viscosity and may be neglected in larger arteries.

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References

  1. Thurston G B. Viscoelasticity of human blood [J].Biophys J, 1972,12(9):1205–1217.

    Article  Google Scholar 

  2. Thurston G B. Frequency and shear rate dependence of viscoelasticity of human blood [J].Biorheology, 1973,10(3):375–381.

    MathSciNet  Google Scholar 

  3. Thurston G B. Elastic effects in pulsatile blood flow [J].Microvasc Res, 1975,9(2):145–157.

    Article  MathSciNet  Google Scholar 

  4. Thurston G B. The effects of frequency of oscillatory flow on the impedance of rigid blood-filled tubes [J].Biorheology, 1976,13(3):191–199.

    Google Scholar 

  5. Chien S, King R G, Skalak R, et al. Viscoelastic properties of human blood and red cell suspensions [J].Biorheology, 1975,12(6):341–346.

    Google Scholar 

  6. Womersley J R. An elastic tube theory of pulse transmission and oscillatory flow in mammalian arteries [A].Wright Air Development Center [R]. Technical report, WADC-TR, 56–614, 1957.

  7. LIU Zhao-rong, LI Xi-xi.Principles and Methods of Hemodynamics [M]. Shanghai: Fudan University Press, 1997. (in Chinese)

    Google Scholar 

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Communicated by DAI Shi-qiang

Biography: YAO Da-kang (1963-)

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Da-kang, Y., Yu-bing, Y. & Zhao-rong, L. The effects of blood viscoelasticity on the pulse wave in arteries. Appl Math Mech 21, 1058–1065 (2000). https://doi.org/10.1007/BF02459316

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  • DOI: https://doi.org/10.1007/BF02459316

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