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3 - Hemodynamics

Published online by Cambridge University Press:  05 June 2012

C. Ross Ethier
Affiliation:
University of Toronto
Craig A. Simmons
Affiliation:
University of Toronto
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Summary

The term hemodynamics comes from the Greek words haima (blood) and dunamis (power) and refers to the movement and deformation (i.e., flow) of blood, and the forces that produce that flow. In this chapter we will examine this fascinating (and complex) topic.

Everyone is familiar with blood's role as a transport medium: it carries oxygen and nutrients to metabolically active tissues, returns carbon dioxide to the lungs, delivers metabolic end-products to the kidneys, etc. However, the reader should be aware that blood does much more than simply deliver substances to target tissues. For example, it:

  • provides a buffering reservoir to control the pH of bodily fluids

  • serves as an important locus of the immune system

  • transports heat, usually from centrally located tissues to distal ones, in order to help maintain a suitable temperature distribution throughout the body.

Unfortunately, in this book we will not be able to examine all of these roles, and to a large extent we will simply view blood as a passive carrier, a fluid that transports physiologically important compounds within the body. However, within this context, it will soon become clear that something so “simple” as an analysis of blood flow as a transport mechanism is non-trivial. We begin by examining blood rheology.

Blood rheology

Rheology is the study of how materials deform and/or flow in response to applied forces. The applied forces are quantified by a quantity known as the stress, defined as the applied force per unit area.

Type
Chapter
Information
Introductory Biomechanics
From Cells to Organisms
, pp. 119 - 163
Publisher: Cambridge University Press
Print publication year: 2007

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References

Vander, A. J., Sherman, J. H. and Luciano, D. S.. Human Physiology: The Mechanisms of Body Function, 4th edn (New York: McGraw-Hill, 1985).Google Scholar
Caro, C. G., Pedley, T. J., Schroter, R. C. and Seed, W. A.. The Mechanics of the Circulation (Oxford: Oxford University Press, 1978).Google Scholar
Schmid-Schönbein., H. Rheology of leukocytes. In Handbook of Bioengineering, ed. Skalak, R. and Chien, S.. (New York: McGraw-Hill, 1987), pp. 13.1–13.25.Google Scholar
W. C. O. Tsang. The size and shape of human red blood cells. M.Sc. thesis, University of California at San Diego (1975).
Fung, Y. C.. Biomechanics: Mechanical Properties of Living Tissues (New York: Springer Verlag, 1981).CrossRefGoogle Scholar
Fawcett, D. W.. Bloom and Fawcett: A Textbook of Histology (Philadelphia, PA: W. B. Saunders, 1986).Google Scholar
Chien, S., Usami, S., Taylor, H. M., Lundberg, J. L. and Gregersen, M. I.. Effects of hematocrit and plasma proteins on human blood rheology at low shear rates. Journal of Applied Physiology, 21 (1966), 81–87.CrossRefGoogle ScholarPubMed
Goldsmith., H. L. The microrheology of human erythrocyte suspensions. In Theoretical and Applied Mechanics; Proceedings of the Thirteenth International Congress of Theoretical and Applied Mechanics (Moscow University, August 21–26, 1972), ed. Becker, E. and Mikhailov, G. K.. (New York: Springer Verlag, 1973), pp. 85–103.Google Scholar
Cokelet., G. R. The rheology of human blood. In Biomechanics: Its Foundations and Objectives, ed. Fung, Y. C., Perrone, N. and Anliker, M.. (Englewood Cliffs, NJ: Prentice-Hall, 1972), pp. 63–103.Google Scholar
Ku, D. N., Giddens, D. P., Zarins, C. K. and Glagov, S.. Pulsatile flow and atherosclerosis in the human carotid bifurcation: positive correlation between plaque location and low and oscillating shear stress. Arteriosclerosis, 5 (1985), 293–302.CrossRefGoogle ScholarPubMed
Ojha, M., Cobbold, R. S. C. and Johnston, K. W.. Hemodynamics of a side-to-end proximal arterial anastomosis model. Journal of Vascular Surgery, 17 (1993), 646–655.CrossRefGoogle ScholarPubMed
Ethier, C. R., Ojha., D. A. M. Comparisons between computational hemodynamics, photochromic dye flow visualization and MR velocimetry. In The Haemodynamics of Internal Organs: Comparison of Computational Predictions with in vivo and in vitro Data, ed. Xu, X. Y. and Collins, M. W.. (Ashurst, UK: Computational Mechanics, 1999), pp. 131–184.Google Scholar
Perktold, K. and Rappitsch, G.. Computer simulation of local blood flow and vessel mechanics in a compliant carotid artery bifurcation model. Journal of Biomechanics, 28 (1995), 845–856.CrossRefGoogle Scholar
Steinman, D. A. and Ethier, C. R.. Numerical modeling of flow in a distensible end-to-side anastomosis. Journal of Biomechanical Engineering, 116 (1994), 294–301.CrossRefGoogle Scholar
Moore, J. E. Jr., Weydahl, E. S. and Santamarina, A.. Frequency dependence of dynamic curvature effects on flow through coronary arteries. Journal of Biomechanical Engineering, 123 (2001), 129–133.CrossRefGoogle ScholarPubMed
Santamarina, A., Weydahl, E., Siegel, J. M. Jr. and Moore, J. E. Jr.Computational analysis of flow in a curved tube model of the coronary arteries: effects of time-varying curvature. Annals of Biomedical Engineering, 26 (1998), 944–954.CrossRefGoogle Scholar
Milnor, W. R.. Hemodynamics, 2nd edn (Baltimore, MD: Williams & Wilkins, 1989).Google Scholar
Eriksen, M.. Effect of pulsatile arterial diameter variations on blood flow estimated by Doppler ultrasound. Medical and Biological Engineering and Computing, 30 (1992), 46–50.CrossRefGoogle ScholarPubMed
Uematsu, S., Yang, A., Preziosi, T. J., Kouba, R. and Toung, T. J.. Measurement of carotid blood flow in man and its clinical application. Stroke, 14 (1983), 256–266.CrossRefGoogle ScholarPubMed
Steinman, D. A., Vinh, B., Ethier, C. R., Ojha, M., Cobbold, R. S.et al. A numerical simulation of flow in a two-dimensional end-to-side anastomosis model. Journal of Biomechanical Engineering, 115 (1993), 112–118.CrossRefGoogle Scholar
Hussain, S. T., Smith, R. E., Clark, A. L. and Wood, R. F.. Blood flow in the lower-limb after balloon angioplasty of the superficial femoral artery. British Journal of Surgery, 83 (1996), 791–795.CrossRefGoogle ScholarPubMed
Ku, D. N., Glagov, S., Moore, J. E. J. and Zarins, C. K.. Flow patterns in the abdominal aorta under simulated postprandial and exercise conditions: an experimental study. Journal of Vascular Surgery, 9 (1989), 309–316.CrossRefGoogle Scholar
Moore, J. E., Jr., Ku, D. N., Zarins, C. K. and Glagov, S.. Pulsatile flow visualization in the abdominal aorta under differing physiological conditions: implications for increased susceptibility to atherosclerosis. Journal of Biomechanical Engineering, 114 (1992), 391–397.CrossRefGoogle ScholarPubMed
Ku, D. N. and Zhu., C. The mechanical environment of the artery. In Hemodynamic Forces and Vascular Cell Biology, ed. Sumpio, B. E.. (Austin, TX: R. G. Landes, 1993), pp. 1–23.Google Scholar
Nichols, W. W. and Rourke, M. F. O'. McDonald's Blood Flow in Arteries (Philadelphia, PA: Lea & Febiger, 1990).Google Scholar
M. Ojha, R. S. C. Cobbold, K. W. Johnston and C. R. Ethier. Visualization of pulsatile flow in a modeled arterial anastomosis. In Proceedings of the Second International Symposium on Biofluid Mechanics and Biorheology, ed. D. Liepsch. (1989), pp. 369–379.
Ballyk, P. D., Steinman, D. A. and Ethier, C. R.. Simulation of non-Newtonian blood flow in an end-to-side anastomosis. Biorheology, 31 (1994), 565–586.CrossRefGoogle Scholar
Perktold, K., Peter, R. O., Resch, M. and Langs, G.. Pulsatile non-Newtonian blood flow in three-dimensional carotid bifurcation models: a numerical study of flow phenomena under different bifurcation angles. Journal of Biomedical Engineering, 13 (1991), 507–515.CrossRefGoogle ScholarPubMed
Sexl, T.. Uber Den, E. G.Richardson Entdeckten ‘Annulareffekt.’ Zeitschrift für Physik, 61 (1930), 349–362.CrossRefGoogle Scholar
White, F. M.. Viscous Fluid Flow, 2nd edn (New York: McGraw-Hill, 1991).Google Scholar
Abramowitz, M. and Stegun, I. A.. Handbook of Mathematical Functions (New York: Dover, 1972).Google Scholar
Barbee, J. H. and Cokelet, G. R.. Prediction of blood flow in tubes with diameters as small as 29 microns. Microvascular Research, 3 (1971), 17–21.CrossRefGoogle Scholar
Barbee, J. H. and Cokelet, G. R.. The Fahraeus effect. Microvascular Research, 3 (1971), 6–16.CrossRefGoogle ScholarPubMed
Haynes, R. H.. Physical basis of the dependence of blood viscosity on tube radius. American Journal of Physiology, 198 (1960), 1193–1200.Google ScholarPubMed
Dintenfass, L.. Inversion of the Fahraeus–Lindqvist phenomenon in blood flow through capillaries of diminishing radius. Nature, 215 (1967), 1099–1100.CrossRefGoogle ScholarPubMed
Thurston, G. B.. Plasma release-cell layering theory for blood flow. Biorheology, 26 (1989), 199–214.CrossRefGoogle ScholarPubMed
Litvinov, R. I., Shuman, H., Bennett, J. S. and Weisel, J. W.. Binding strength and activation state of single fibrinogen–integrin pairs on living cells. Proceedings of the National Academy of Sciences USA, 99 (2002), 7426–7431.CrossRefGoogle ScholarPubMed

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  • Hemodynamics
  • C. Ross Ethier, University of Toronto, Craig A. Simmons, University of Toronto
  • Book: Introductory Biomechanics
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511809217.005
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  • Hemodynamics
  • C. Ross Ethier, University of Toronto, Craig A. Simmons, University of Toronto
  • Book: Introductory Biomechanics
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511809217.005
Available formats
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  • Hemodynamics
  • C. Ross Ethier, University of Toronto, Craig A. Simmons, University of Toronto
  • Book: Introductory Biomechanics
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511809217.005
Available formats
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