Wall Shear Stress: Theoretical Considerations and Methods of Measurement

Progress in Cardiovascular Diseases

Volumn 49, Issue 5, 2007, Pages 307-329

  Katritsis, Demosthenes ^a,b,c,d   Kaiktsis, Lambros ^a,b,c,d   Chaniotis, Andreas ^a,b,c,d   Pantos, John ^a,b,c,d   Efstathopoulos, Efstathios P ^a,b,c,d   Marmarelis, Vasilios ^a,b,c,d  

^a Athens Euroclinic ^*  (Greece)

^b NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

^c UNIVERSITY OF ATHENS MEDICAL SCHOOL   (Greece)

^d University of Southern California ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC METHOD; ARTERY BLOOD FLOW; ARTICLE; ATHEROSCLEROSIS; COMPUTATIONAL FLUID DYNAMICS; CORONARY ARTERY; DOPPLER ECHOCARDIOGRAPHY; ECHOGRAPHY; FLOW KINETICS; HUMAN; MEASUREMENT; NON INVASIVE MEASUREMENT; NONHUMAN; NUCLEAR MAGNETIC RESONANCE IMAGING; PULSATILE FLOW; SHEAR STRESS; SIMULATION; THEORY;

ANIMALS; BIOMECHANICS; BLOOD VISCOSITY; COMPUTER SIMULATION; CORONARY ARTERIOSCLEROSIS; CORONARY CIRCULATION; CORONARY VESSELS; HUMANS; MODELS, ANIMAL; MODELS, CARDIOVASCULAR; SHEAR STRENGTH;

EID: 33847167026     PISSN: 00330620     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.pcad.2006.11.001     Document Type: Article

References (91)

1. Chien S., Li S., and Shyy Y.J. Effects of mechanical forces on signal transduction and gene expression in endothelial cells. Hypertension 31 (1998) 162-169
2. Davies P.F. Flow-mediated endothelial mechanotransduction. Physiol Rev 75 (1995) 519-560
3. Giddens D.P., Zarins C.K., Glagov S., et al. Flow and atherogenesis in the human carotid bifurcation. In: Schettler G. (Ed). Fluid dynamics as a localizing factor for atherosclerosis (1993), Spinger-Verlag Press, New York
4. Fung Y.C. Biomechanics. Circulation (1997), Springer-Verlag, New York
5. Song S., Leahy R., Boyd D., et al. Determining cardiac velocity fields and intraventricular pressure distribution from a sequence of ultrafast CT cardiac images. IEEE Trans Med Imaging 13 (1994) 386-397
6. Adler R., Chenevert T., Fowlkes B., et al. Calculation of pressure gradients from MR velocity data in a laminar flow model. J Comput Assist Tomogr 15 (1991) 483-488
7. Fry D.L. Certain histological and chemical responses of the vascular interface to acutely induced mechanical stress in the aorta of the dog. Circ Res 24 (1969) 93-108
8. Caro C.G., Fitz-Gerald J.M., and Schroter R.C. Atheroma and arterial wall shear. Observation, correlation and proposal of a shear dependent mass transfer mechanism for atherogenesis. Proc R Soc Lond B Biol Sci 177 (1971) 109-159
9. Shaaban A.M., and Duerinckx A.J. Wall shear stress and early atherosclerosis: A review. AJR Am J Roentgenol 174 (2000) 1657-1665
10. Strackee J., and Westerhof N. The physics of heart and circulation (1993), Institute of Physics Publishing, Bristol
11. Rowan J.O. Physics and the circulation (1981), Adam Hilger Ltd, Bristol
12. Pearson T.C. Hemorheology in the erythrocytoses. Mt Sinai J Med 68 (2001) 182-191
13. Milnor W. Hemodynamics (1982), Williams & Wilkins
14. Nichols W., and O'Rourke M. McDonald's blood flow in arteries: Theoretical, experimental and clinical principles (2005), Hodder Arnold
15. Spring S., van der Loo B., Krieger E., et al. Decreased wall shear stress in the common carotid artery of patients with peripheral arterial disease or abdominal aortic aneurysm: Relation to blood rheology, vascular risk factors, and intimamedia thickness. J Vasc Surg 43 (2006) 56-63 (discussion 63)
16. Kannel W.B. Overview of hemostatic factors involved in atherosclerotic cardiovascular disease. Lipids 40 (2005) 1215-1220
17. Marton Z., Kesmarky G., Vekasi J., et al. Red blood cell aggregation measurements in whole blood and in fibrinogen solutions by different methods. Clin Hemorheol Microcirc 24 (2001) 75-83
18. Brands P.J., Hoeks A.P., Hofstra L., et al. A noninvasive method to estimate wall shear rate using ultrasound. Ultrasound Med Biol 21 (1995) 171-185
19. Goldsmith H.L., and Skalak R. Hemodynamics. Annu rev fluid mechanics 7 (1975) 213-247
20. Guyton A.C., and Hall J.E. Textbook of medical physiology. ed 11 (2005), Saunders
21. Merrill E.W. Rheology of blood. Physiol Rev 49 (1969) 863-888
22. Stuart J., and Nash G.B. Technological advances in blood rheology. Crit Rev Clin Lab Sci 28 (1990) 61-93
23. Chien S. Red-cell deformability and its relevance to blood-flow. Annu Rev Physiol 49 (1987) 177-192
24. Pries A.R., Neuhaus D., and Gaehtgens P. Blood-viscosity in tube flow-Dependence on diameter and hematocrit. Am J Physiol 263 (1992) H1770-H1778
25. Merrill E.W., and Pelletie G.A. Viscosity of human blood-transition from Newtonian to non-Newtonian. J Appl Physiol 23 (1967) 178-182
26. Chien S. Shear dependence of effective cell volume as a determinant of blood viscosity. Science 168 (1970) 977-979
27. Reinke W., Johnson P.C., and Gaehtgens P. Blood-viscosity during tube flow-effect of shear rate. Int J Microcirculation-Clin Exp 4 (1985) 90
28. Zydney A.L., Oliver J.D., and Colton C.K. A constitutive equation for the viscosity of stored red-cell suspensions-effect of hematocrit, shear rate, and suspending phase. J Rheol 35 (1991) 1639-1680
29. Box F.M., van der Geest R.J., Rutten M.C., et al. The influence of flow, vessel diameter, and non-Newtonian blood viscosity on the wall shear stress in a carotid bifurcation model for unsteady flow. Invest Radiol 40 (2005) 277-294
30. Picart C., Piau J.M., Galliard H., et al. Human blood shear yield stress and its hematocrit dependence. J Rheol 42 (1998) 1-12
31. Cinar Y., Senyol A.M., and Duman K. Blood viscosity and blood pressure: Role of temperature and hyperglycemia. Am J Hypertens 14 (2001) 433-438
32. Lee R.T., Grodzinsky A.J., Frank E.H., et al. Structure-dependent dynamic mechanical behavior of fibrous caps from human atherosclerotic plaques. Circulation 83 (1991) 1764-1770
33. Fung Y.C. Biomechanics: properties of living tissues (1993), Springer, Berlin
34. Barnes H.A. The yield stress-a review or 'τα παντα ρει'-everything flows?. Journal of Non-Newtonian Fluid Mechanics 81 (1999) 133-178
35. Johnston B.M., Johnston P.R., Corney S., et al. Non-Newtonian blood flow in human right coronary arteries: Steady state simulations. J Biomech 37 (2004) 709-720
36. Kerber C.W., Hecht S.T., Knox K., et al. Flow dynamics in a fatal aneurysm of the basilar artery. AJNR Am J Neuroradiol 17 (1996) 1417-1421
37. Deters O.J., Mark F.F., Bargeron C.B., et al. Comparison of steady and pulsatile flow near the ventral and dorsal walls of casts of human aortic bifurcations. J Biomech Eng 106 (1984) 79-82
38. 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. J Biomech 15 (1982) 363-378
39. Hochareon P., Manning K.B., Fontaine A.A., et al. Wall shear-rate estimation within the 50cc Penn State artificial heart using particle image velocimetry. J Biomech Eng 126 (2004) 430-437
40. Bale-Glickman J., Selby K., Saloner D., et al. Experimental flow studies in exact-replica phantoms of atherosclerotic carotid bifurcations under steady input conditions. J Biomech Eng 125 (2003) 38-48
41. Natarajan S., and Mokhtarzadeh-Dehghan M.R. A numerical and experimental study of periodic flow in a model of a corrugated vessel with application to stented arteries. Med Eng Phys 22 (2000) 555-566
42. Doriot P.A., and Dorsaz P.A. Residual stenosis poststenting and subsequent decrease in the proximal reference diameter are correlated: excessive axial wall stress is a plausible explanation. J Endovasc Ther 11 (2004) 310-318
43. Wentzel J.J., Corti R., Fayad Z.A., et al. Does shear stress modulate both plaque progression and regression in the thoracic aorta? Human study using serial magnetic resonance imaging. J Am Coll Cardiol 45 (2005) 846-854
44. Wentzel J.J., Krams R., Schuurbiers J.C., et al. Relationship between neointimal thickness and shear stress after wallstent implantation in human coronary arteries. Circulation 103 (2001) 1740-1745
45. Thury A., van Langenhove G., Carlier S.G., et al. High shear stress after successful balloon angioplasty is associated with restenosis and target lesion revascularization. Am Heart J 144 (2002) 136-143
46. Boutsianis E., Dave H., Frauenfelder T., et al. Computational simulation of intracoronary flow based on real coronary geometry. Eur J Cardiothorac Surg 26 (2004) 248-256
47. Stokholm R., Oyre S., Ringgaard S., et al. Determination of wall shear rate in the human carotid artery by magnetic resonance techniques. Eur J Vasc Endovasc Surg 20 (2000) 427-433
48. Butcher J.T., Tressel S., Johnson T., et al. Transcriptional profiles of valvular and vascular endothelial cells reveal phenotypic differences: Influence of shear stress. Arterioscler Thromb Vasc Biol 26 (2006) 69-77
49. Lipowsky H.H., Kovalcheck S., and Zweifach B.W. The distribution of blood rheological parameters in the microvasculature of cat mesentery. Circ Res 43 (1978) 738-749
50. Sawchuk A.P., Unthank J.L., Davis T.E., et al. A prospective, in vivo study of the relationship between blood flow hemodynamics and atherosclerosis in a hyperlipidemic swine model. J Vasc Surg 19 (1994) 58-63 (discussion 63-4)
51. Reneman R.S., Arts T., and Hoeks A.P. Wall shear stress-An important determinant of endothelial cell function and structure-In the arterial system in vivo. Discrepancies with theory. J Vasc Res 43 (2006) 251-269
52. Samijo S.K., Willigers J.M., Brands P.J., et al. Reproducibility of shear rate and shear stress assessment by means of ultrasound in the common carotid artery of young human males and females. Ultrasound Med Biol 23 (1997) 583-590
53. Irace C., Cortese C., Fiaschi E., et al. Wall shear stress is associated with intima-media thickness and carotid atherosclerosis in subjects at low coronary heart disease risk. Stroke 35 (2004) 464-468
54. Gnasso A., Carallo C., Irace C., et al. Association between intima-media thickness and wall shear stress in common carotid arteries in healthy male subjects. Circulation 94 (1996) 3257-3262
55. Gnasso A., Irace C., Carallo C., et al. In vivo association between low wall shear stress and plaque in subjects with asymmetrical carotid atherosclerosis. Stroke 28 (1997) 993-998
56. Oyre S., Pedersen E.M., Ringgaard S., et al. In vivo wall shear stress measured by magnetic resonance velocity mapping in the normal human abdominal aorta. Eur J Vasc Endovasc Surg 13 (1997) 263-271
57. Oyre S., Paaske W.P., Ringgaard S., et al. Automatic accurate noninvasive quantitation of blood flow, cross-sectional vessel area, and wall shear stress by modelling of magnetic resonance velocity data. Eur J Vasc Endovasc Surg 16 (1998) 517-524
58. Naderson C., and Edelman R. Clinical magnetic resonance angiography (1993), Raven Pr
59. Yim P., Demarco K., Castro M.A., et al. Characterization of shear stress on the wall of the carotid artery using magnetic resonance imaging and computational fluid dynamics. Stud Health Technol Inform 113 (2005) 412-442
60. Doucette J.W., Corl P.D., Payne H.M., et al. Validation of a Doppler guide wire for intravascular measurement of coronary artery flow velocity. Circulation 85 (1992) 1899-1911
61. Li W., van der Steen A.F., Lancee C.T., et al. Potentials of volumetric blood-flow measurement. Semin Interv Cardiol 2 (1997) 49-54
62. Gibson C.M., Diaz L., Kandarpa K., et al. Relation of vessel wall shear stress to atherosclerosis progression in human coronary arteries. Arterioscler Thromb 13 (1993) 310-315
63. Johnston B.M., Johnston P.R., Corney S., et al. Non-Newtonian blood flow in human right coronary arteries: Transient simulations. J Biomech 39 (2006) 1116-1128
64. Bourantas C.V., Kourtis I.C., Plissiti M.E., et al. A method for 3D reconstruction of coronary arteries using biplane angiography and intravascular ultrasound images. Comput Med Imaging Graph 29 (2005) 597-606
65. Wentzel J.J., Whelan D.M., van der Giessen W.J., et al. Coronary stent implantation changes 3-D vessel geometry and 3-D shear stress distribution. J Biomech 33 (2000) 1287-1295
66. Krams R., Wentzel J.J., Oomen J.A., 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 (1997) 2061-2065
67. Garcia J., Crespo A., Goicolea J., et al. Study of the evolution of the shear stress on the restenosis after coronary angioplasty. J Biomech 39 (2006) 799-805
68. Jung J., Hassanein A., and Lyczkowski R.W. Hemodynamic computation using multiphase flow dynamics in a right coronary artery. Ann Biomed Eng 34 (2006) 393-407
69. Lou Z., Yang W.J., and Stein P.D. Errors in the estimation of arterial wall shear rates that result from curve fitting of velocity profiles. J Biomech 26 (1993) 383-390
70. Oshinski J.N., Ku D.N., Mukundan Jr. S., et al. Determination of wall shear stress in the aorta with the use of MR phase velocity mapping. J Magn Reson Imaging 5 (1995) 640-647
71. Guo Z., Moreau M., Rickey D.W., et al. Quantitative investigation of in vitro flow using three-dimensional colour Doppler ultrasound. Ultrasound Med Biol 21 (1995) 807-816
72. Long D.S., Smith M.L., Pries A.R., et al. Microviscometry reveals reduced blood viscosity and altered shear rate and shear stress profiles in microvessels after hemodilution. Proc Natl Acad Sci U S A 101 (2004) 10060-10065
73. Masaryk A.M., Frayne R., Unal O., et al. In vitro and in vivo comparison of three MR measurement methods for calculating vascular shear stress in the internal carotid artery. AJNR Am J Neuroradiol 20 (1999) 237-245
74. Wentzel J.J., Gijsen F.J., Stergiopulos N., et al. Shear stress, vascular remodeling and neointimal formation. J Biomech 36 (2003) 681-688
75. Soulis J.V., Giannoglou G.D., Chatzizisis Y.S., 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 (2006) 351-358
76. Soulis J.V., Farmakis T.M., Giannoglou G.D., et al. Wall shear stress in normal left coronary artery tree. J Biomech 39 (2006) 742-749
77. Santamarina A., Weydahl E., Siegel Jr. J.M., et al. Computational analysis of flow in a curved tube model of the coronary arteries: Effects of time-varying curvature. Ann Biomed Eng 26 (1998) 944-954
78. Panton R.L. Incompressible flow (1984), Wiley-Interscience, New York
79. Kundu P.K., and Cohen I.M. Fluid mechanics. ed 2 (2002), Academic Press, San Diego
80. Schlichting H., and Gersten K. Boundary-layer theory. ed 8 (2000), Springer-Verlag, Berlin
81. Walburn F.J., and Schneck D.J. A constitutive equation for whole human blood. Biorheology 13 (1976) 201-210
82. 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
83. Triton D.J. Physical fluid dynamics. ed 2 (1988), Clarendon Press, Oxford
84. Tangelder G.J., Teirlinck H.C., Slaaf D.W., et al. Distribution of blood platelets flowing in arterioles. Am J Physiol 248 (1985) H318-H323
85. Eckstein E.C. Rheophoresis-a broader concept of platelet dispersivity. Biorheology 19 (1982) 717-724
86. CD Adapco Group. Star-CD Version 3.20 Methodology. 2004
87. CD Adapco Group. Star-CD Version 3.20 User Guide. 2004
88. CD Adapco Group. Star-CD Version 3.24 Methodology. 2004
89. CD Adapco Group. Star-CD Version 3.24 User Guide. 2004
90. Ferziger J.H., and Peric M. Computational methods for fluid dynamics. ed 3 (2001), Springer, Berlin
91. Berne R.M., and Levy M.N. Cardiovascular physiology. ed 8 (2001), Mosby