Blood flow in arteries

Annual Review of Fluid Mechanics

Volumn 29, Issue , 1997, Pages 399-434

  Ku, David N ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0642311549     PISSN: 00664189     EISSN: None     Source Type: Book Series    
DOI: 10.1146/annurev.fluid.29.1.399     Document Type: Article

References (89)

1. Anayiotos AS, Jones SA, Giddens DP, Glagov S, Zarins CK. 1994. Shear stress at a compliant model of the human carotid bifurcation. J. Biomech. Eng. 116:98-106
2. Aoki T, Ku DN. 1993. Collapse of diseased arteries with eccentric cross section. J. Biomech. Eng. 26:2:133-42
3. Badimon L, Badimon JJ, Galvez A, Chesebro JH, Fuster V. 1986. Influence of arterial damage and wall shear rate on platelet deposition. Ex vivo study in a swine model. Arteriosclerosis 6:312
4. Bargeron CB, Deters OJ, Mark FF, Friedman MH. 1988. Effect of flow partition on wall shear in a cast of a human coronary artery. Cardiovasc. Res. 5:340-44
5. Bertram CD, Raymond CJ, Butcher KSA. 1989. Oscillations in a collapsed-tube analog of the brachial artery under a sphygmomanometer cuff. J. Biomech. Eng. 111:185-91
6. Biz S, Ku DN, Downing JM. 1993. Flow choking in elastic stenoses. Hemodynamic collapse of highly stenotic arteries. Circ. Suppl. 88(4):1363
7. Cancelli C, Pedley TJ. 1985. A separated flow model for collapsible tube oscillations. J. Fluid Mech. 157:375-404
8. Caro CG, Pedley TJ, Schroter RC, Seed WA. 1978. The Mechanics of the Circulation. New York: Oxford Medical
9. Chaitman BR, Fisher LD, Bourassa MG, Davis K, Rogers WJ, et al. 1981. Effect of coronary bypass surgery on survival patterns in subsets of patients with left main coronary artery disease. Report of Collaborative Study in Coronary Artery Surgery (CASS). Am. J. Cardiol. 48(4):765-77
10. Chen C, Hansen SR, Lumsden AB. 1995. Boundary layer infusion of heparin prevents thrombosis and reduces neointimal hypersia in venous polytetra fluoroethylene grafts without system anticoagulation. J. Vasc. Surg. 22:237-45
11. Chien S. 1970. Shear dependence of effective cell volume as a determinant of blood viscosity. Science 168:977
12. Clark JM, Glagov S. 1985. Transmural organization of the arterial wall: the lamellar unit revisited. Arteriosclerosis 5:19-24
13. Dean WR. 1928. The stream-line motion of fluid in a curved pipe. Philos. Mag. Ser. 75:675-95
14. Delfino A, Moore JE Jr, Meister JJ. 1994. Lateral deformation and movement effects on flow through dispensable tube models of blood vessels. Biorheology 31:533-54
15. Dawson DL, Strandness DE Jr. 1994. "Duplex scanning." In Strandness & van Breda, pp. 157-99
16. Downing JM, Ku DN. 1993. Flow through a compliant stenotic artery. ASME Adv. Bioeng. BED 26:137-40
17. Elad D, Kamm RD. 1989. Parametric evaluation of forced expiration using a numerical model. ASME J. Biomech. Eng. 111:192-99
18. Elad D, Kamm RD, Shapiro AH. 1987. Choking phenomena in a lung-like model. ASME J. Biomech. Eng. 109:1-9
19. Eskey CJ, Wolmark N, McDonell CL, Domach MM, Jain RK. 1994. Residence time distributions of various tracers in tumors: implications for drug delivery and blood flow measurement. J. Natl. Cancer Inst. 86(4):293-99
20. Fernandez-Ortiz A, Badimon JJ, Falk E, Fuster V, Meyer B, et al. 1994. Characterization of the relative thrombogenicity of atherosclerotic plaque components: implications for consequences of plaque rupture. JACC 23(3):1562-69
21. Folts JD, Crowell EB, Rowe GG. 1976. Platelet occlusions. Platelet aggregation in partially obstructed vessels and its elimination with aspirin. Circulation 54: 365-70
22. Friedman MH, Bargeron CB, Hutchins GM, Mark FF, Deters OJ. 1980. Hemodynamic measurements in human arterial casts and their correlation with histology and luminal area. J. Biomech. Eng. 102:247
23. Friedman MH, Peters OJ, Bargeron CB. 1986. Shear-dependent thickening of the human arterial intima. Atherosclerosis 60:161-71
24. Fung YC. 1984. Biodynamics: Circulation. New York: Springer-Verlag
25. Furchgott RF. 1993. Introduction to EDRF research. J. Cardiovasc. Pharmacol. 22:51-52
26. Garbini JL, Forster FK, Jorgensen JE. 1982. Measurement of fluid turbulence based on pulsed ultrasound techniques. Part 2: Analysis. J. Fluid Mech. 118:445-70
27. Giddens DP, Ku DN. 1987. A note on the relationship between input flow waveform and wall shear rate in pulsatile, separating flows. J. Biomech. Eng. 109:175-76
28. Glagov S, Zarins C, Giddens DP, Ku DN. 1988. Hemodynamics and atherosclerosis: insights and perspectives gained from studies of human arteries. Arch. Pathol. Lab. Med. 112:1018-31
29. Gould KL. 1978. Pressure-flow characteristics of coronary stenoses in unsedated dogs at rest and during coronary vasodilation. Circ. Res. 43(2):242-53
30. He X. 1993. Numerical simulations of blood flow in human coronary arteries. PhD thesis. Georgia Institute of Technol., Atlanta
31. He X, Ku DN. 1994. Unsteady entrance flow development in a straight tube. J. Biomech. Eng. 116:355-60
32. He X, Ku DN. 1996. Pulsatile flow in the human left coronary artery bifurcation: average conditions. J. Biomech. Eng. 118:74-82
33. He X, Ku DN, Moore JE. 1993. Simple calculation of the velocity profiles for pulsatile flow in a blood vessel using Mathematica. Ann. Biomed. Eng. 21:45-49
34. Hellums JD, 1993. Whitaker lecture: biorheology in thrombosis research. Ann. Biomed. Eng. 1994 22:445-55
35. Helmlinger G, Geiger RV, Schreck S, Nerem RM. 1991. Effects of pulsatile flow on cultured vascular endothelial cell morphology. J. Biomech. Eng. 113:123-31
36. Holenstein R, Ku DN. 1988. Reverse flow in the major infrarenol vessels-a capacitive phenomenon. Biorheology 25:835-42
37. Hubbell JA, McIntire LV. 1986. Platelet active concentration profiles near growing thrombia mathematical consideration. Biophys. J. 50:937-45
38. Kamiya A, Togawa T. 1980. Adaptive regulation of wall shear stress to flow change in the canine carotid artery. Am. J. Physiol. 239:H14-21
39. Karino T, Goldsmith HL. 1979. Aggregation of human platelets in an annular vortex distal to a tubular expansion. Microvasc. Res. 17:217-37
40. Keynton RS, Rittgers SE, Shu MC. 1991. The effect of angle and flow rate upon hemodynamics in distal vascular graft anastomoses: an in vitro model study. J. Biomech. Eng. 113:458
41. Khalifa AMA, Giddens DP. 1981. Characterization and evolution of post stenotic flow disturbances. J. Biomech. 14:279-96
42. Kim WY, Walker PG, Pedersen EM, Poulsen JK, Oyre S, et al. 1995. Left ventricular blood flow patterns in normal subjects: a quantitative analysis by three-dimensional magnetic resonance velocity mapping. J. Am. Coll. Cordiol. 26:224-38
43. Ku DN, Biancheri CL, Pettigrew RI, Peifer JW, Markou CP, Engels H. 1990a. Evaluation of magnetic resonance velocimetry for steady flow. J. Biomech. Eng. 112:464-72
44. Ku DN, Giddens DP. 1987. Laser Doppler anemometer measurements of pulsatile flow in a model carotid bifurcation. J. Biomech. Eng. 20:407-21
45. Ku DN, Giddens DP. 1983. Pulsatile flow visualization in the carotid artery: arteriosclerosis. 3:31-39
46. Ku DN, Klafta JM, Gewertz BL, Zarins CK. 1987. The contribution of valves to sophenous vein graft resistance. J. Vasc. Surg. 6:274-79
47. Ku DN, McCord BN. 1993. Cyclic stress causes rupture of the atherosclerotic plaque cap. Suppl. to Circulation 88:(4:2):1362
48. Ku DN, Phillips DJ, Giddens DP, Strandness DE. 1985a. Hemodynamics of the normal human carotid bifurcation: in vitro and in vivo studies. Ultrasound Med. Biol. 11:13-26
49. Ku DN, Zarins CK, Giddens DP, Glagov S. 1985b. Pulsatile flow and atherosclerosis in the human carotid bifurcation: positive correlation between plaque localization and low and oscillating shear stress. Arteriosclerosis 5:292-302
50. Ku DN, Zeigler MN, Downing JM. 1990b. One-dimensional steady inviscid flow through a stenotic collapsible tube. ASME J. Biomech. Eng. 112:444-50
51. Lieber BB, Giddens DP. 1990. Post-stenotic core flow and its effects on wall shear stress. J. Biomech. 23(6):597-605
52. Liu SQ, Fung YC. 1989. Relationship between hypertension, hypertrophy, and opening angle of zero-stress state of arteries following aortic constriction. J. Biomech. Eng. 111(4):325-35
53. Markou CP, Hanson SR, Siegel JM, Ku DN. 1993. The role of high wall shear rate of thrombus formation in stenoses. Adv. Bioeng. ASME BED 26:555-58
54. McDonald DA. 1974. Blood Flow in Arteries. Baltimore: Williams & Wilkins
55. McIntire CV. 1994. Bioengineering and vascular biology. Ann. Biomed. Eng. 22:2-13
56. Meier D, Maier S, Boesiger P. 1988. Quantitative flow measurement on phantoms and on blood vessels with MR. Magn. Reson. Med. 8:25-34
57. Moore JE Jr, Burki E, Suciu A, Zhao S, Burnier M, et al. 1994a. Device for subjecting vascular endothelial cells to both fluid shear stress and circumferential cyclic stretch. Ann. Biomed. Eng. 22:416-22
58. Moore JE Jr, Ku DN, Zarins CK, Glagov S. 1992. Pulsatile flow visualization in the abdominal aorta under differing physiologic conditions: implications for increased susceptibility to atherosclerosis. J. Biomech. Eng. 114:391-97
59. Moore JE Jr, Maier SE, Ku DN, Boesiger P. 1994b. Hemodynamics in the abdominal aorta: a comparison of in vitro and in vivo measurements. J. Appl. Physiol. 76:1520-27
60. Moore JE Jr, Stergiopulos N, Golay X, Ku DN, Meister JJ. 1995. Row measurements in a collapsible arterial stenosis model. 1995 Bioeng. Conf. ASME 29:229-30
61. Moore JE Jr, Xu C, Glagov S, Zarins CK, Ku DN. 1994c. Fluid wall shear stress measurements in a model of the human abdominal aorta: oscillatory behavior and relationship to atherosclerosis. Atherosclerosis 110(2):225-40
62. Nerem RM, Seed WA. 1972. An in vivo study of aortic flow disturbances. Cardiovasc. Res. 6:1-14
63. Nichols WW, O'Rourke MF. 1990. McDonald's Blood Flow in Arteries. Philadelphia: Lea & Febiger. 3rd ed.
64. North American Symptomatic Carotid Endarterectomy Trial Collaborators (NASCET). 1991. Beneficial effect of carotid endarterectomy in symptomatic patients with highgrade carotid stenosis. N. Engl. J. Med. 325:445-53
65. Ohja M, Ethier CR, Johnston KW. 1990. Steady and pulsatile flow fields in an end-to-side arterial anastomosis model. J. Vasc. Surg. 12:747
66. Oshinski JN, Ku DN, Bohning DE, Pettigrew RI. 1992. Effects of acceleration on the accuracy of MR phase velocity measurements. J. Magn. Reson. Imag. 2:665-670
67. Oshinski JN, Ku DN, Pettigrew RI. 1995a. Turbulent fluctuation velocity: the most significant determinant of signal loss in stenotic vessels. Magn. Reson. Med. 33:193-99
68. Oshinski JN, Parks WJ, Markou CP, Bergman HL, Larson BE, et al. 1995b. Improved measurements of pressure gradients in aortic coarctations by magnetic resonance imaging. ASME Proc. Bioeng. Conf. 29:371-72
69. Pedley TJ. 1980. The Fluid Mechanics of Large Blood Vessels. Cambridge: Cambridge Univ. Press
70. Perktold K, Rappitch G. 1995. Computer simulation of local blood flow and vessel mechanics in a compliant carotid artery bifurcation model. J. Biomech. 28:845-56
71. Perktold K, Resch M, Florian H. 1991. Pulsatile non-Newtonian flow characteristics in a three-dimensional human carotid bifurcation model. J. Biomech. Eng. 13:464-75
72. Peskin CS, McQueen DM. 1989. A three-dimensional computational method for blood flow in the heart. I. Immersed elastic fibers in a viscous incompressible fluid. J. Comput. Phys. 81:372-405
73. Powell BE. 1991 Experimental measurements of flow through stenotic collapsible tubes. MS thesis. Georgia Inst. of Tech. Atlanta
74. Reuderink PJ. 1991. Analysis of the flow in a 3D distensible model of the carotid artery bifurcation. PhD dissertation. Tech. Univ. of Eindhoven. Eindhoven, Netherlands.
75. Rodbard S. 1970. Negative feedback mechanisms in the architecture and function of the connective and cardiovascular tissues. Perspect. Biol. Med. 13:507-27
76. Rodkiewicz CM, Sinha P, Kennedy JS. 1990. On the application of a constitutive equation for whole blood. J. Biomech. Eng. 112:198-206
77. Salam TA, Lumsden AB, Suggs WD, Ku DN. 1996. Low shear stress promotes intimal hyperplasia thickening. J. Vasc. Invest. 2:12-22
78. Santamore WP, Bove AA, Carey RA. 1982. Tachycardia induced reduction in coronary blood flow distal to a stenosis. Int. J. Cardiol. 2:23-27
79. Shapiro AH. 1977. Steady flow in collapsible tubes. J. Biomech Eng. 9:126-47
80. Siegel JM, Markou CP, Ku DN, Hanson SR. 1994. A scaling law for wall shear stress through an arterial stenosis. J. Biomech. Eng. 116:446-51
81. Siegel JM, Oshinski JN, Pettigrew RI, Ku DN. 1995. Comparison of phantom and computer-simulated MR images of flow in a convergent geometry: implications for improved two-dimensional MR angiography. J. Magn. Reson. Imag. 5:677-83
82. Strandness DE Jr, van Breda A, eds. 1994. Vascular Diseases: Surgical and Interventional Therapy. New York: Churchill Livingston
83. Tang TD 1990. Periodic flow in a bifurcating tube at moderate Reynolds number. PhD dissertation. Georgia Inst. Tech., Atlanta
84. Taylor TW, Yamaguchi T. 1994. Three-dimensional simulation of blood flow in an abdominal aortic aneurysm-steady and unsteady flow cases. J. Biomech. Eng. 116(1):89-97
85. Womersley JR. 1955. Method for the calculation of velocity, rate of flow and viscous drag in arteries when their pressure gradient is known. J. Physiol. 127:553-63
86. Yoganathan AP, Lemmon JD Jr Kim YH, Walker PG, Levine RA, Vesier CC. 1994. A computational study of a thin-walled three-dimensional left ventricle during early systole. J. Biomech Eng. 116:307-17
87. Young DF. 1979. Fluid mechanics of arterial stenoses. J. Biomech. Eng. 101:157-75
88. Yucel EK. 1994. Magnetic resonance angiography. In strandness & van Breda 1994, pp. 289-302
89. Zarins CK, Zatina MA, Giddens DP, Ku DN, Glagov S. 1987. Shear stress regulation of artery lumen diameter in experimental atherogenosis. J. Vasc. Surg. 5:413-20