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Fluid Mechanics of Arterial Bifurcations

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Biological Flows

Abstract

The arterial system carries out its function of distributing blood throughout the body by means of a remarkable network characterized by vessel branching and bifurcation, and fluid dynamic patterns at these sites of flow division can be extremely complex by comparison with flow in unbranching vessel segments. In certain larger and medium-sized arteries, such as the carotid, coronary and aorto-iliac arteries, these sites of branching and bifurcation are associated with the development of atherosclerotic plaques, and hemodynamic factors such as wall shear stress and particle residence time have been implicated as participants in atherogenesis. The complex flow fields which exist in the region of arterial bifurcations are characterized by strong spatial and temporal variations in wall shear and particle trajectory, creating environments considerably different than those found in simple in vitro systems, such as Couette or channel flow, that are often employed in the study of fluid dynamic effects on cell function. Understanding the interactions between blood flow and biological behavior of cells in the arterial wall will undoubtedly require a greater knowledge of the response of cells to flow field phenomena that are representative of those occurring in actual arterial bifurcations.

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Reference

  1. Zarins, C.K., Giddens, D.P., Bharadvaj, B.K., Sottiurai, V.S., Mabon, R.F. and Glagov, S., “Carotid bifurcation atherosclerosis: Quantitative correlation of plaque localization with flow velocity profiles and wall shear stress,” Circulation Research, Vol. 53, No. 4, 1983, pp. 502–514.

    Article  CAS  PubMed  Google Scholar 

  2. 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 localization and low and oscillating shear stress,” Arteriosclerosis, Vol. 5, 1985, pp. 293–302.

    Article  CAS  PubMed  Google Scholar 

  3. Tang, T. D., “Periodic flow in a bifurcating tube at moderate Reynolds number,” Ph.D. Thesis, Georgia Insitute of Technology, 1990.

    Google Scholar 

  4. White, S.S., Zarins, C.K., Giddens, D.P., Bassiouny, H., Loth, F., Jones, S.A. and Glagov, S., “Hemodynamic patterns in two models of end-to-side vascular graft anastomoses: Effect of pulsatility, flow division, Reynolds number and hood length,” Journal of Biomechanical Engineering, Vol. 115, No. 1, pp. 104–111, 1993.

    Article  CAS  PubMed  Google Scholar 

  5. Bassiouny, H.S., White, S., Glagov, S., Choi, E., Giddens, D.P. and Zarins, C.K., “Anastomotic intimal hyperplasia: Mechanical injury or flow induced?” Journal of Vascular Surgery, Vol. 15, No. 4, pp. 708–717,1992.

    Article  CAS  PubMed  Google Scholar 

  6. Dean, W.R., “Note on the motion of fluid in a curved pipe,” Journal of Science, Vol. 20, 1927, pp. 208–223.

    Google Scholar 

  7. Stehbens, W.E., “Flow in glass models of arterial bifurcations and Berry aneurysms at low Reynolds numbers,” Quarterly Journal of Experimental Physiology, Vol. 60, 1975, pp. 181–192.

    CAS  Google Scholar 

  8. Ferguson, G.G. and Roach, M.R., “Flow conditions at bifurcations as determined in glass models, with reference to the focal distribution of vascular lesions,” Cardiovascular Fluid Dynamics, Vol. 2. 1972, edited by Bergel, D.H., Academic Press, pp. 141–157.

    Google Scholar 

  9. Zeller, H., Talukder, N. and Lorentz, J., “Model studies of pulsatile flow in arterial branches and wave propagation in blood vessels,” AGARD, Fluid Dynamics of Blood Circulation and Respiratory Flow, 1970.

    Google Scholar 

  10. Fukushima, et al., “Characteristics of secondary flow in steady and pulsatile flows through asymmetrical bifurcation,” Biorheology, Vol. 24, 1987, pp. 3–12.

    CAS  PubMed  Google Scholar 

  11. Walburn, F.J. and Stein, P.D., “Velocity profiles in symmetrically branched tubes simulating the aortic bifurcation,” Journal of Biomechanics, Vol. 14, No. 9, 1983, pp. 601–611.

    Article  Google Scholar 

  12. Walburn, F.J. and Stein, P.D., “The shear rate at the wall in a symmetrically branched tube simulating the aortic bifurcation,” Biorheology, Vol.19, 1982, pp. 307–316.

    CAS  PubMed  Google Scholar 

  13. Kandarpa, K. and Davis, N., “Analysis of the fluid dynamic effects on atherogenesis at branching sites,” Journal of Biomechanics, Vol. 9, 1976, pp. 735–741.

    Article  CAS  PubMed  Google Scholar 

  14. Fernandez, R.C., De Witt, K.J. and Botwin, M.R., “Pulsatile flow through a bifurcation with applications to arterial disease” Journal of Biomechanics, Vol. 9, 1976, pp. 575–580.

    Article  CAS  PubMed  Google Scholar 

  15. Patil M.K. and Subbaraj, K., “Finite element analysis of two dimensional steady flow in model arterial bifurcations,” Journal of Biomechanics, Vol. 21, 1988, pp. 219–233.

    Article  CAS  PubMed  Google Scholar 

  16. Nerem, et al. “Hot film coronary velocity measurements in horses,” Cardiovascular Research, Vol. 10, 1976, pp. 301–313.

    Article  CAS  PubMed  Google Scholar 

  17. Sabbah, N.N., Walburn, F.J. and Stein, P.D. “Patterns of flow in the left coronary artery,” Journal of Biomechanical Engineering, Vol. 106, 1984, pp. 272–279.

    Article  CAS  PubMed  Google Scholar 

  18. Altobelli, S.A. and Nerem, R.M., “An experimental study of coronary artery fluid mechanics,” Journal of Biomechanical Engineering, Vol. 107, 1985, pp. 16–23.

    Article  CAS  PubMed  Google Scholar 

  19. Mark, F.F. et al. “Nonquasi-steady character of pulsatile flow in human coronary arteries,” Journal of Biomechanical Engineering, Vol. 107, 1985, pp. 24–28.

    Article  CAS  PubMed  Google Scholar 

  20. Asakura, T. and Karino, T. “Flow patterns and spatial distribution of atherosclerotic lesions in human coronary arteries,” Circulation Research, Vol. 66, 1990, pp. 1045–1066.

    Article  CAS  PubMed  Google Scholar 

  21. Nerem, R.M. and Seed. W.A. “Coronary artery geometry and its fluid mechanical implications,” Fluid Dynamics as a Localizing Factor for Atherosclerosis, 1983, edited by Schettler, G. Springer-Verlag Press.

    Google Scholar 

  22. Grottum, P., Svindland, A. and Walloe, L., “Localization of atherosclerotic lesions in the bifurcation of the main left coronary artery,” Atherosclerosis, Vol. 47, 1983, pp. 55–62.

    Article  CAS  PubMed  Google Scholar 

  23. MacAlpin, R.N., Abbasi, A.S., Frollman, J.H., and Eber, L., “Human coronary artery size during life,” Radiology, Vol. 108, 1973, pp. 567–576.

    CAS  PubMed  Google Scholar 

  24. Knoebel, S.B., McHenry, P.L., Stein, L. and Sonel, A., “Myocaridal blood flow in man as measured by a coincidence counting system and a single bolus of RbCl,” Circulation, Vol. 36, 1967, pp. 187–196.

    Article  CAS  PubMed  Google Scholar 

  25. Pitt, A. Friesinger, G.C. and Ross, R.S. “Measurement of blood in the right and left coronary artery beds in humans and dogs using the Xenon technique,” Cardiovascular Research, Vol. 3, 1969, pp. 100–106.

    Article  CAS  PubMed  Google Scholar 

  26. Ross, R.S., Ueda, K., Lichtlen, P.R., and Rees, J.R., “Measurement of myocardial blood flow in animals and man by selective injection of radioactive inert gas into the coronary arteries,” Circulation Research, Vol. 15, 1964, pp. 28–41.

    Article  CAS  PubMed  Google Scholar 

  27. Cohen, A., et al., “The quantitative determination of coronary flow with a positron emitter (Rubidium-84),” Circulation, Vol. 32, 1965, pp. 636–649.

    Article  CAS  PubMed  Google Scholar 

  28. Giddens, D.P., Zarins, C.K. and Glagov, S., “Response of arteries to near-wall fluid dynamic behavior,” Applied Mechanics Reviews, Vol. 43, No. 5, 1990, pp. S98–S102.

    Article  Google Scholar 

  29. Bharadvaj, B.K., Mabon, R.F. and Giddens, D.P., “Steady flow in a model of the human carotid bifurcation: Part I — flow visualization,” Journal of Biomechanics, Vol. 15, No. 5, 1982, pp. 349–362.

    Article  CAS  PubMed  Google Scholar 

  30. Bharadvaj, B.K., Mabon, R.F. and Giddens, D.P., “Steady flow in a model of the human carotid bifurcation: Part II — laser doppler anemometer measurements,” Journal of Biomechanics, Vol. 15, No. 5, 1982,363–378.

    Article  CAS  PubMed  Google Scholar 

  31. Ku. D.N., and Giddens, D.P., “Pulsatile flow in a model carotid bifurcation,” Arteriosclerosis, Vol. 3, 1983, pp. 31–39.

    Article  CAS  PubMed  Google Scholar 

  32. Ku D.N. and Giddens, D.P., “Pulsatile flow visualization in a carotid bifurcation model,” 34th Annual Conference on Engineering in Medicine and Biology, Houston, TX, September 1981.

    Google Scholar 

  33. LoGerfo, F.W., Quist, W.C., Nowak, M.D., Crawshaw, H.M. and Haudenschild, D.D., “Downstream anastomotic hyperplasia,” Annals of Surgery, 197, No. 4, April 1983, p. 479.

    Article  CAS  PubMed Central  PubMed  Google Scholar 

  34. Loth, F., “Velocity and wall shear measurements inside a vascular graft model under steady and pulsatile flow conditions,” Ph.D. Thesis, Georgia Institute of Technology, 1993.

    Google Scholar 

  35. Figueras C., Jones, S.A., Giddens, D.P., Zarins, C., Bassiouny, H.S. and Glagov, S., “Relationships between flow patterns and geometry in end-to-side anastomotic grafts,” BED-Vol. 20. Advances in Bioengineering, ASME, 1991, pp. 225-257.

    Google Scholar 

  36. Friedman, M.H., Bargeron, C.B., Deters. O.J., Hutchins, G.M. and Mark, F.F., “Correlation between wall shear and intimai thickness at a coronary artery branch,” Atherosclerosis, Vol. 68, 1987, pp. 27–33.

    Article  CAS  PubMed  Google Scholar 

  37. Friedman, M.H., Bargeron, C.B., Hutchins, G.M., Mark, F.F. and Deters, O.J., “Hemodynamics measurements in human arterial casts and their correlation with histology and luminal area,” Journal of Biomechanical Engineering, Vol. 102, 1980, pp. 247–251.

    Article  CAS  PubMed  Google Scholar 

  38. Ku, D.N., Giddens, D.P., Phillips, D.J., and Strandness, D.E., Jr., “Hemodynamics of the normal human carotid bifurcation: in vitro and in vivo studies,” Ultrasound in Medicine and Biology, Vol. 11, No. 1, 1985, pp. 13–26.

    Article  CAS  PubMed  Google Scholar 

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Giddens, D.P., Tang, T.D., Loth, F. (1995). Fluid Mechanics of Arterial Bifurcations. In: Jaffrin, M.Y., Caro, C.G. (eds) Biological Flows. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9471-7_4

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  • DOI: https://doi.org/10.1007/978-1-4757-9471-7_4

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-9473-1

  • Online ISBN: 978-1-4757-9471-7

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