Skip to main content
SpringerLink
Log in

Analytical deduction of the instantaneous velocity distribution, wall shear stress and pressure gradient from transcutaneous measurements of the time-varying rate of blood flow

  • Published:
Medical and Biological Engineering and Computing Aims and scope Submit manuscript

Abstract

A novel analytical method is introduced for the prediction of instantaneous flow properties from measurements of the time-varying average velocity in unsteady laminar flow in circular vessels. As such, it holds promise for enhancing the diagnostic potential of noninvasive flow metering devices to detect, localise and assess the severity of peripheral vascular disease.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Anliker, M., Casty, M., Friedli, P., Kubli, R. andKeller, H. (1977) Noninvasive measurement of blood flow. Chapter 1 ofCardiovascular flow dynamics and measurements byHwang, N. H. C. andNormann, N. A. (Eds.), University Park Press, Baltimore.

    Google Scholar 

  • Appugliese, R. Jares, A., Kassam, M., Johnston, K. W., Cobbold, R. S. C., Hummel, R. L andArato, P. (1980) Pulsatile flow visualisation forin vitro haemodynamic studies related to Doppler ultrasound. Digest of the 8th Canadian Medical and Biological Engineering Conference, Hamilton, Ontario.

  • Caro, C. G., Fitz-Gerald, J. M. andSchroter, R. C. (1969) Arterial wall shear and distribution of early atheroma in man.Nature,223, 1159.

    Article  Google Scholar 

  • Caro, C. G., Pedley, T. J., Schroter, R. C. andSeed, W. A. (1978).The mechanics of the circulation. Oxford University Press, 340–346.

  • von Fournier, D., Kuttig, J., Curland, S. andPoser, H. (1973) Auswertung von Thermogrammen mit dem Computer in der Mammakarzinom-Diagnostik.Strahlentherapie,145, 406.

    Google Scholar 

  • Fry, D. L. (1968) Acute vascular endothelical changes associated with increased blood velocity gradients.Circ. Research,22, 165.

    Google Scholar 

  • Hwang, N. H. C. andNormann, N. A. (Eds.) (1977)Cardiovascular flow dynamics and measurements. University Park Press, Baltimore.

    Google Scholar 

  • Letelier S., M. F. andLeutheusser, H. J. (1978) Unified approach to the solution of problems of unsteady laminar flow in long pipes. In:Fluid transients and acoustics in the power industry,Papadakis, C andScarton, H. (Eds). The American Society of Mechanical Engineers, 345 East 47th Street, New York, N.Y., pp. 207–213.

  • Peronneau, P., Deloche, A., Bui-Mong-Hung andHinglais, J. (1968) Débimétrie sanguine par ultra son. Développements et applications expérimentales. In:3ème Congr. Soc. Europ. Chirurg. Exp. Munich.

  • Wayland, H. andJohnson, P. C. (1967) Erythrocyte velocity measurement in microvessels by a two-slit photometric method.J. Appl. Physiol.,22, 333.

    Google Scholar 

  • Wells, P. N. T. (1977)Biomedical ultrasonics, Academic Press, London.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, University of Toronto, M5S 1A4, Toronto, Ontario, Canada

    M. F. Letelier S & H. J. Leutheusser

Authors
  1. M. F. Letelier S
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. H. J. Leutheusser
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Letelier S, M.F., Leutheusser, H.J. Analytical deduction of the instantaneous velocity distribution, wall shear stress and pressure gradient from transcutaneous measurements of the time-varying rate of blood flow. Med. Biol. Eng. Comput. 19, 433–436 (1981). https://doi.org/10.1007/BF02441308

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02441308

Keywords

Search

Navigation