Skip to main content

Wall Shear Rate in Arterioles: Least Estimates from in Vivo Recorded Velocity Profiles

  • Chapter
Biomechanical Transport Processes

Part of the book series: NATO ASI Series ((NSSA,volume 193))

  • 94 Accesses

Abstract

In this chapter velocity profiles, as recorded in mesenteric arterioles of the rabbit with the use of fluorescently labeled platelets as natural flow markers, are described. These velocity profiles are flattened parabolas with maximal and mean velocity ratios varying between 1.39 and 1.54 (median; 1.50). The wall shear rate values estimated from these velocity profiles, considering a two phase model, range from 472 to 4712 s−1 (median: 1700 s−1) for centerline red blood cell velocities varying between 1.3 and 14.4 mm.s−1. These wall shear rate values are at least 1.46 to 3.94 (median 2.12) times higher than those expected on the basis of a parabolic velocity profile, but with the same volume flow in the vessel.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Caro, C.G., Pedley, T.J., Schroter, R.C., and Seed, W.A., 1978, The Mechanics of the Circulation, Oxford, Oxford University Press.

    Google Scholar 

  • Frojmovic, M.M., and Panjwani, R., 1976, Geometry of normal mammalian platelets by quantitative microscopic studies. Biophys. J. 16: 1071–1089.

    Article  CAS  PubMed Central  PubMed  Google Scholar 

  • Goldsmith, H.L. and Turitto, V.T.,1986, Rheological aspects of thrombosis and haemostasis: basic principles and applications, Thromb. Haemostas. 55:415–435.

    CAS  Google Scholar 

  • Roevros, J.M.J.G., 1974, Analogue processing of CW Doppler flowmeter signals to determine average frequency shift momentaneously without the use of a wave analyser, Cardiovascular Applications of Ultrasound, edited by R.S. Reneman, Amsterdam, North Holland, Publishing Company, pp 43–54.

    Google Scholar 

  • Slaaf, D.W., Rood, J.P.S.M., Tangelder, G.J., Jeurens, T.J.M., Alewijnse, R., Reneman, R.S., and Arts, T., 1981, A bidirectional optical ( BDO) three-stage prism grating system for on-line measurement of red blood cell velocity in microvessels, Microvasc. Res. 22: 110–122.

    Article  CAS  PubMed  Google Scholar 

  • Tangelder, G.J., Slaaf, D.W., Arts, T., and Reneman, R.S., 1988, Wall shear rate in arterioles in vivo: least estimates from platelet velocity profiles, Am. J. Physiol. 254: H1059 - H1064.

    CAS  PubMed  Google Scholar 

  • Tangelder, G.J., Slaaf, D.W., Muijtjens, A.M.M., Arts, T., oude Egbrink, M.G.A., and Reneman, R.S., 1986, Velocity profiles of blood platelets and red blood cells flowing in arterioles of the rabbit mesentery, Circ. Res. 59: 505–514.

    Article  CAS  PubMed  Google Scholar 

  • Tangelder, G.J., Slaaf, D.W., and Reneman, R.S., 1982a, Fluorescent labelling of blood platelets in vivo, Thromb. Res. 28: 803–820.

    Article  CAS  PubMed  Google Scholar 

  • Tangelder, G.J., Slaaf, D.W., Teirlinck, H.C., Alewijnse, R., and Reneman, R.S., 1982b, Localization within a thin optical section of fluorescent blood platelets flowing in a microvessel, Microvasc. Res. 23: 214–230.

    Article  CAS  PubMed  Google Scholar 

  • Tangelder, G.J., Teirlinck, H.C., Slaaf, D.W., and Reneman, R.S., 1985, Distribution of blood platelets flowing in arterioles, Am. J. Physiol. 17: H318 - H323.

    Google Scholar 

  • Teirlinck, H.C., Tangelder, G.J., Slaaf, D.W., Muijtjens, A.M.M., Arts, T., and Reneman, R.S., 1984, Orientation and diameter distribution of rabbit blood platelets flowing in small arterioles, Biorheology 21: 317–331.

    CAS  PubMed  Google Scholar 

  • Turitto, V.T., 1982, Blood viscosity, mass transport, and thrombogenesis, Progress in Hemostasis and Thrombosis 6, edited by TH Speat, New York, Grune and Stratton, pp 139–177.

    Google Scholar 

  • Turitto, V.T., and Baumgartner, H.R., 1979, Platelet interaction with subendothelium in flowing rabbit blood: effect of blood shear rate. Microvasc. Res. 17: 38–54.

    Article  CAS  PubMed  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer Science+Business Media New York

About this chapter

Cite this chapter

Reneman, R.S., Arts, T., Slaaf, D.W., Tangelder, G.J. (1990). Wall Shear Rate in Arterioles: Least Estimates from in Vivo Recorded Velocity Profiles. In: Mosora, F., Caro, C.G., Krause, E., Schmid-Schönbein, H., Baquey, C., Pelissier, R. (eds) Biomechanical Transport Processes. NATO ASI Series, vol 193. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1511-8_22

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-1511-8_22

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-1513-2

  • Online ISBN: 978-1-4757-1511-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics