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Biophysical modeling of wave propagation phenomena: experimental determination of pulse wave velocity in viscous fluid-filled elastic tubes in a gravitation field

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Abstract

Biophysical understanding of arterial hemodynamics plays an important role in proper medical diagnosis and investigation of cardiovascular disease pathogens. One of the major cardiovascular parameters is pulse wave velocity (PWV), which depends on the mechanical properties of the arterial wall. The PWV contains information on the condition of the cardiovascular system as well as its physiological age. In humans and most animals, blood flow through the blood vessels is affected by several internal and external forces. The most influencing external force on blood flow is gravity. In the upright position of the body, blood moves from heart to head, opposite to gravity, and from the heart to the legs, in direction of the gravitational force. To investigate how gravity affects PWV, we have developed a biophysical model of cardiovascular system that simulates blood flow in the upright position of the body. The paper presents the results of measurement of PWV in an elastic tube filled with fluids of different viscosities in the gravitational field.

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References

  • Feng J, Khir A (2010) Determination of wave speed and wave separation in the arteries using diameter and velocity. J Biomech 43:455–462

    Article  CAS  PubMed  Google Scholar 

  • Fung YC (1997) Biomechanics: circulation. Springer, New York

    Book  Google Scholar 

  • Khir A, Parker K (2002) Measurements of wave speed and reflected waves in elastic tubes and bifurcations. J Biomech 35:775–783

    Article  CAS  PubMed  Google Scholar 

  • Lazović B, Mazić S, Zikich D, Žikić D (2015) The mathematical model of the radial artery blood pressure waveform through monitoring of the age-related changes. Wave Motion 56:14–21

    Article  Google Scholar 

  • Li JK (1989) Increased arterial pulse wave reflections and pulsatile energy loss in acute hypertension. Angiology 40(8):730–735

    Article  CAS  PubMed  Google Scholar 

  • Li Y, Ashraf W, Khir A (2011) Experimental validation of non-invasive and fluid density independent methods for the determination of local wave speed and arrival time of reflected wave. J Biomech 44:1393–1399

    Article  PubMed  Google Scholar 

  • Lighthill MJ (1978) Waves in fluids. Cambridge University Press, Cambridge

    Google Scholar 

  • Nichols WW, Singh BM (2002) Augmentation index as a measure of peripheral vascular disease state. Curr Opin Cardiol 17(5):543–551

    Article  PubMed  Google Scholar 

  • O’Rourke MF (1970) Arterial hemodynamics in hypertension. Circ Res 27(Suppl. 2):123

    Google Scholar 

  • Steppan J, Barodka V, Berkowitz DE, Nyhan D (2011) Vascular stiffness and increased pulse pressure in the ageing cardiovascular system. Cardiol Res Pract 2011:1–8

    Article  Google Scholar 

  • Stojadinovic B, Tenne T, Zikich D, Rajković N, Milošević N, Lazović B, Žikić D (2015) Effect of viscosity on the wave propagation. J Biomech 48(15):3969–3974

    Article  PubMed  Google Scholar 

  • Swillens A, Lanoye L, De Backer J, Stergiopulos N, Verdonck PR, Vermassen F, Segers P (2008) Effect of an abdominal aortic aneurysm on wave reflection in the aorta. IEEE Trans Biomed Eng 55(5):1602–1611

    Article  PubMed  Google Scholar 

  • Tijsseling AS, Anderson A (2012) A. Isebree Moens and D.J. Korteweg: on the speed of propagation of waves in elastic tubes. BHR Group. In: Anderson S (ed) Proceedings of the 11th international conference on pressure surges, Lisbon, pp 227–245. ISBN: 978-1-85598-133-1

  • Womersley JR (1957) An elastic tube theory of pulse transmission and oscillatory flow in mammalian arteries. Technical report WADC-TR-56-614. Wright Air Development Center, Dayton, OH

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Acknowledgements

This work was supported by Serbian Ministry of Education and Science Projects 32040 and 41022.

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Correspondence to Dejan Žikić.

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Special Issue: Regional Biophysics Conference 2018.

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Žikić, D., Stojadinović, B. & Nestorović, Z. Biophysical modeling of wave propagation phenomena: experimental determination of pulse wave velocity in viscous fluid-filled elastic tubes in a gravitation field. Eur Biophys J 48, 407–411 (2019). https://doi.org/10.1007/s00249-019-01376-1

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