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

Medical Engineering and Physics

Volumn 30, Issue 1, 2008, Pages 9-19

  Soulis, Johannes V ^a   Giannoglou, George D ^b   Chatzizisis, Yiannis S ^b   Seralidou, Kypriani V ^a   Parcharidis, George E ^b   Louridas, George E ^b  

^a DEMOCRITUS UNIVERSITY OF THRACE   (Greece)

^b AHEPA UNIVERSITY HOSPITAL   (Greece)

Author keywords

Coronary artery; Intravascular ultrasound; Non Newtonian blood flow; Wall shear stress

Indexed keywords

APPROXIMATION THEORY; BLOOD VESSELS; MATHEMATICAL MODELS; NON NEWTONIAN FLOW; SHEAR STRESS;

CORONARY ARTERY; INTRAVASCULAR ULTRASOUND; NON-NEWTONIAN BLOOD FLOW; WALL SHEAR STRESS;

VISCOSITY;

AB INITIO CALCULATION; ARTICLE; BLOOD FLOW; BLOOD VISCOSITY; GEOMETRY; INTRAVASCULAR ULTRASOUND; LEFT CORONARY ARTERY; PRIORITY JOURNAL; SHEAR STRESS; THEORETICAL MODEL;

BLOOD VISCOSITY; CAROTID ARTERIES; COMPUTER SIMULATION; CORONARY VESSELS; ELASTICITY; FINITE ELEMENT ANALYSIS; HUMANS; IMAGE INTERPRETATION, COMPUTER-ASSISTED; IMAGING, THREE-DIMENSIONAL; MODELS, CARDIOVASCULAR; NONLINEAR DYNAMICS; PULSATILE FLOW; REGIONAL BLOOD FLOW; SHEAR STRENGTH; STRESS, MECHANICAL;

EID: 38149048313     PISSN: 13504533     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.medengphy.2007.02.001     Document Type: Article

References (31)

1. Becker R.C. The role of blood viscosity in the development and progression of coronary artery disease. Cleve Clin J Med 60 (1993) 353-358
2. Cho Y.I., and Kensey K.R. Effects of the non-Newtonian viscosity of blood on flows in a diseased arterial vessel. Part 1. Steady flows. Biorheology 28 (1991) 241-262
3. Farmakis TM T.M., Soulis J.V., Giannoglou G.D., Zioupos G.J., and Louridas G.E. Wall shear stress gradient topography in the normal left coronary arterial tree: possible implications for atherogenesis. Curr Med Res Opin 20 (2004) 587-596
4. Junker R., Heinrich J., Ulbrich H., Schonfeld R., Kohler E., and Assman G G. Relationship between plasma viscosity and the severity of coronary heart disease. Arterioscler Thromb Vasc Biol 18 (1998) 870-875
5. Soulis J.V., Giannoglou G.D., Chatzizisis Y.S., Farmakis T.M., Giannakoulas G.A., Parcharidis G.E., 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 17 4 (2006) 351-358
6. Giannoglou G.D., Soulis J.V., Farmakis T.M., Farmakis D.M., and Louridas G.E. Haemodynamic factors and the important role of local low static pressure in coronary wall thickening. Int J Cardiol 86 (2002) 27-40
7. Gibson C.M., Diaz L., Kandarpa K., Sacks F.M., Pasternack R.C., Sandor T., et al. Relation of vessel wall shear stress to atherosclerosis progression in human coronary arteries. Arterioscler Thromb 13 2 (1993) 310-315
8. Krams R., Wentzel J.J., Oomen J.A., Vinke R., Schuubiers J.C., de Feyter P.J., 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 17 10 (1997) 2061-2065
9. Soulis J.V., Farmakis T.M., Giannoglou G.D., Hatzizisis I.S., Giannakoulas G.A., Parcharidis G.E., et al. Molecular viscosity in the normal left coronary arterial tree. Is it related to atherosclerosis?. Angiology 57 1 (2006) 33-40
10. Giannoglou G.D., Soulis J.V., Farmakis T.M., Giannakoulas G.A., Parcharidis G.E., and Louridas G.E. Wall pressure gradient in normal left coronary artery tree. Med Eng Phys 27 6 (2005) 455-464
11. Johnston B.M., Johnston P.R., and Corney S. Non-Newtonian blood flow in human right coronary arteries: steady state simulations. J Biomech 37 (2004) 709-720
12. Ghista D.N., Van Vollenhoven E., Yang W.-J., and Reul H. Blood: rheology, hemolysis, gas and surface interactions (1979), S. Karger, New York 165 pp.
13. Abraham F., Behr M., and Heinkenschloss M. Shape optimization in unsteady blood flow: a numerical study of non-Newtonian effects. Comput Methods Biomech Biomed Eng 8 3 (2005) 201-212
14. Sharma K., and Bhat S.V. Non-Newtonian rheology of leukemic blood and plasma: are n and k parameters of power Law model diagnostic?. Physiol Chem Phys Med NMR 24 (1992) 307-312
15. 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
16. Fung Y.C. Biomechanics: mechanical properties of living tissues. 2nd ed. (1993), Springer, Berlin 571 pp.
17. Walburn F.J., and Schneck D.J. A constitutive equation for whole human blood. Biorheology 13 3 (1976) 201-210
18. von Birgelen C., Klinkhart W., Mintz G.S., 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 37 7 (2001) 1864-1870
19. Coskun A.U., Yeghiazarians Y., Kinlay S., Clark M.E., Ilegbusi O.J., 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 60 (2003) 67-78
20. Giannoglou G.D., Chatzizisis Y.S., 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 17 6 (2006) 545-551
21. Chatzizisis Y.S., Giannoglou G.D., 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 17 6 (2006) 545-551
22. Murray C.D. The physiological principle of minimum work. I. The vascular system and the cost of blood volume. Proc Natl Acad Sci 12 (1926) 207-214
23. Kelkar K.M., and Patankar SV. Development of generalized block correction procedures for the solution of discretized Navier-Stokes equations (1988), Creare Inc., Lebanon, NH [TM-459]
24. Lei M., Giddens D.P., Jones S.A., Loth F., and Bassiouny H. Pulsatile flow in an end-to-side vascular graft model: comparison of computations with experimental data. J Biomech Eng 123 (2001) 80-87
25. Kleinstreuer C., Lei M., and Archie Jr. J.P. Flow input waveform effects on the temporal and spatial wall shear stress gradients in a femoral graft-artery connector. J Biomech Eng 118 4 (1996) 506-510
26. Kute S.M., and Vorp D.A. The effect of proximal artery flow on the hemodynamicss at the distal anastomosis of a vascular bypass graft: computational study. J Biomech Eng 123 3 (2001) 277-283
27. Lowe G.D., Drummond M.M., Lorimer A.R., Hutton I., Forbes C.D., Prentice C.R., et al. Relation between extent of coronary artery disease and blood viscosity. Br Med J 280 (1980) 673-674
28. Kensey K.R., Cho Y.I., and Chang M M. Effects of whole blood viscosity on atherogenesis. J Invasive Cardiol 9 (1997) 17-24
29. Liepsch D. An introduction to biofluid mechanics-basic models and applications. J Biomech 35 (2002) 415-443
30. 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 oscillating shear stress. Arteriosclerosis 5 May-June (3) (1985) 293-302
31. Santamarina A., Weydahl E., Siegel Jr. J.M., and Moore Jr. J.E. Computational analysis of flow in a curved tube model of the coronary arteries: effects of time-varying curvature. Ann Biomed Eng 26 November-December (6) (1998) 944-954