Medical Engineering & Physics
Volume 30, Issue 1 , Pages 9-19 , January 2008

Non-Newtonian models for molecular viscosity and wall shear stress in a 3D reconstructed human left coronary artery

  • Johannes V. Soulis

      Affiliations

    • Fluid Mechanics, Demokrition University of Thrace, Xanthi, Greece
  • ,
  • George D. Giannoglou

      Affiliations

    • Cardiovascular Engineering and Atherosclerosis Laboratory, 1st Cardiology Department, AHEPA University Hospital, Aristotle University of Thessaloniki, 1 St. Kyriakidi Street, 54636 Thessaloniki, Greece
    • Corresponding Author InformationCorresponding author at: AHEPA University Hospital, Aristotle University of Thessaloniki, 1 St. Kyriakidi Street, 54636 Thessaloniki, Greece. Tel.: +30 2310994837; fax: +30 2310994837.
  • ,
  • Yiannis S. Chatzizisis

      Affiliations

    • Cardiovascular Engineering and Atherosclerosis Laboratory, 1st Cardiology Department, AHEPA University Hospital, Aristotle University of Thessaloniki, 1 St. Kyriakidi Street, 54636 Thessaloniki, Greece
  • ,
  • Kypriani V. Seralidou

      Affiliations

    • Fluid Mechanics, Demokrition University of Thrace, Xanthi, Greece
  • ,
  • George E. Parcharidis

      Affiliations

    • Cardiovascular Engineering and Atherosclerosis Laboratory, 1st Cardiology Department, AHEPA University Hospital, Aristotle University of Thessaloniki, 1 St. Kyriakidi Street, 54636 Thessaloniki, Greece
  • ,
  • George E. Louridas

      Affiliations

    • Cardiovascular Engineering and Atherosclerosis Laboratory, 1st Cardiology Department, AHEPA University Hospital, Aristotle University of Thessaloniki, 1 St. Kyriakidi Street, 54636 Thessaloniki, Greece

Received 10 July 2006 ,Revised 26 January 2007 ,Accepted 4 February 2007.

References 

  1. Becker RC. The role of blood viscosity in the development and progression of coronary artery disease. Cleve Clin J Med. 1993;60:353–358
  2. Cho YI, Kensey KR. Effects of the non-Newtonian viscosity of blood on flows in a diseased arterial vessel. Part 1. Steady flows. Biorheology. 1991;28:241–262
  3. Farmakis TM TM, Soulis JV, Giannoglou GD, Zioupos GJ, Louridas GE. Wall shear stress gradient topography in the normal left coronary arterial tree: possible implications for atherogenesis. Curr Med Res Opin. 2004;20:587–596
  4. Junker R, Heinrich J, Ulbrich H, Schonfeld R, Kohler E, Assman G G. Relationship between plasma viscosity and the severity of coronary heart disease. Arterioscler Thromb Vasc Biol. 1998;18:870–875
  5. Soulis JV, Giannoglou GD, Chatzizisis YS, Farmakis TM, Giannakoulas GA, Parcharidis GE, et al. Spatial and phasic oscillation of non-Newtonian wall shear stress in human left coronary artery bifurcation: an insight to atherogenesis. Coron Artery Dis. 2006;17(4):351–358
  6. Giannoglou GD, Soulis JV, Farmakis TM, Farmakis DM, Louridas GE. Haemodynamic factors and the important role of local low static pressure in coronary wall thickening. Int J Cardiol. 2002;86:27–40
  7. Gibson CM, Diaz L, Kandarpa K, Sacks FM, Pasternack RC, Sandor T, et al. Relation of vessel wall shear stress to atherosclerosis progression in human coronary arteries. Arterioscler Thromb. 1993;13(2):310–315
  8. Krams R, Wentzel JJ, Oomen JA, Vinke R, Schuubiers JC, de Feyter PJ, et al. Evaluation of endothelial shear stress and 3D geometry as factors determining the development of atherosclerosis and remodeling in human coronary arteries in vivo. Combining 3D reconstruction from angiography and IVUS (ANGUS) with computational fluid dynamics. Arterioscler Thromb Vasc Biol. 1997;17(10):2061–2065
  9. Soulis JV, Farmakis TM, Giannoglou GD, Hatzizisis IS, Giannakoulas GA, Parcharidis GE, et al. Molecular viscosity in the normal left coronary arterial tree. Is it related to atherosclerosis?. Angiology. 2006;57(1):33–40
  10. Giannoglou GD, Soulis JV, Farmakis TM, Giannakoulas GA, Parcharidis GE, Louridas GE. Wall pressure gradient in normal left coronary artery tree. Med Eng Phys. 2005;27(6):455–464
  11. Johnston BM, Johnston PR, Corney S. Non-Newtonian blood flow in human right coronary arteries: steady state simulations. J Biomech. 2004;37:709–720
  12. Ghista DN, Van Vollenhoven E, Yang W-J, Reul H. Blood: rheology, hemolysis, gas and surface interactions. New York: S. Karger; 1979;165 pp.
  13. Abraham F, Behr M, Heinkenschloss M. Shape optimization in unsteady blood flow: a numerical study of non-Newtonian effects. Comput Methods Biomech Biomed Eng. 2005;8(3):201–212
  14. Sharma K, Bhat SV. Non-Newtonian rheology of leukemic blood and plasma: are n and k parameters of power Law model diagnostic?. Physiol Chem Phys Med NMR. 1992;24:307–312
  15. Ballyk PD, Steinman DA, Ethier CR. Simulation of non-Newtonian blood flow in an end-to-side anastomosis. Biorheology. 1994;31:565–586
  16. Fung YC. Biomechanics: mechanical properties of living tissues. 2nd ed.. Berlin: Springer; 1993;571 pp.
  17. Walburn FJ, Schneck DJ. A constitutive equation for whole human blood. Biorheology. 1976;13(3):201–210
  18. von Birgelen C, Klinkhart W, Mintz GS, Papatheodorou A, Herrmann J, Baumgart D, et al. Plaque distribution and vascular remodeling of ruptured and nonruptured coronary plaques in the same vessel: an intravascular ultrasound study in vivo. J Am Coll Cardiol. 2001;37(7):1864–1870
  19. Coskun AU, Yeghiazarians Y, Kinlay S, Clark ME, Ilegbusi OJ, Wahle O, et al. Reproducibility of coronary lumen, plaque, and vessel wall reconstruction and of endothelial shear stress measurements in vivo in humans. Catheter Cardiovasc Interv. 2003;60:67–78
  20. Giannoglou GD, Chatzizisis YS, Sianos G, Tsikaderis D, Matakos A, Koutkias V, et al. In vivo validation of spatially correct three-dimensional reconstruction of human coronary arteries by integrating intravascular ultrasound and biplane angiography. Coron Artery Dis. 2006;17(6):545–551
  21. Chatzizisis YS, Giannoglou GD, Matakos A, Basdekidou C, Sianos G, Panagiotou A, et al. In-vivo accuracy of geometrically correct three-dimensional reconstruction of human coronary arteries: is it influenced by certain parameters?. Coron Artery Dis. 2006;17(6):545–551
  22. Murray CD. The physiological principle of minimum work. I. The vascular system and the cost of blood volume. Proc Natl Acad Sci. 1926;12:207–214
  23. Kelkar KM, Patankar SV . Development of generalized block correction procedures for the solution of discretized Navier–Stokes equations. Lebanon, NH: Creare Inc.; 1988;[TM-459]
  24. Lei M, Giddens DP, Jones SA, Loth F, Bassiouny H. Pulsatile flow in an end-to-side vascular graft model: comparison of computations with experimental data. J Biomech Eng. 2001;123:80–87
  25. Kleinstreuer C, Lei M, Archie JP. Flow input waveform effects on the temporal and spatial wall shear stress gradients in a femoral graft-artery connector. J Biomech Eng. 1996;118(4):506–510
  26. Kute SM, Vorp DA. The effect of proximal artery flow on the hemodynamicss at the distal anastomosis of a vascular bypass graft: computational study. J Biomech Eng. 2001;123(3):277–283
  27. Lowe GD, Drummond MM, Lorimer AR, Hutton I, Forbes CD, Prentice CR, et al. Relation between extent of coronary artery disease and blood viscosity. Br Med J. 1980;280:673–674
  28. Kensey KR, Cho YI, Chang M M. Effects of whole blood viscosity on atherogenesis. J Invasive Cardiol. 1997;9:17–24
  29. Liepsch D. An introduction to biofluid mechanics-basic models and applications. J Biomech. 2002;35:415–443
  30. Ku DN, Giddens DP, Zarins CK, Glagov S. Pulsatile flow and atherosclerosis in the human carotid bifurcation. Positive correlation between plaque location and low oscillating shear stress. Arteriosclerosis. 1985;5(May–June (3)):293–302
  31. Santamarina A, Weydahl E, Siegel JM, Moore JE. Computational analysis of flow in a curved tube model of the coronary arteries: effects of time-varying curvature. Ann Biomed Eng. 1998;26(November–December (6)):944–954

PII: S1350-4533(07)00033-1

doi: 10.1016/j.medengphy.2007.02.001

Medical Engineering & Physics
Volume 30, Issue 1 , Pages 9-19 , January 2008