Computational modeling of vascular hemodynamics

Computational modeling in biomechanics

Volumn , Issue , 2010, Pages 171-206

  Rayz, Vitaliy L ^a   Berger, Stanley A ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Blood flow; Computational Fluid Dynamics; Hemodynamic factors; Patient specific modeling

Indexed keywords

EID: 84875576967     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-90-481-3575-2_5     Document Type: Chapter

References (198)

1. Libby, P., Ridker, P.M., Maseri A.: Inflammation and atherosclerosis. Circulation 105, 1135-1143 (2002)
2. Libby, P.: Current concepts of the pathogenesis of the acute coronary syndromes. Circulation 104, 365-372 (2001)
3. Libby, P.: Lesion versus lumen. Nat. Med. 1(1), 17-18 (1995)
4. Ross, R.: Cell biology of atherosclerosis. Ann. Rev. Physiol. 57, 791-804 (1995)
5. Hademenos, G.J., Massoud, T.F.: Biophysical mechanisms of stroke. Stroke 28, 2067-2077 (1997)
6. Hajjar, D.P., Nicholson, A.C.: Atherosclerosis. Am. Sci. 83, 460-467 (1995)
7. Alexander, J.J.: The pathobiology of aortic aneurysms. J. Surg. Res. 117(1), 163-175 (2004)
8. Humphrey, J.D., Taylor, C.A.: Intracranial and abdominal aortic aneurysms: Similarities, differences, and need for a new class of computational models. Ann. Rev. Biomed. Eng. 10, 221-246 (2008)
9. Davies, M.J.: Aortic aneurysm formation-lessons from human studies and experimental models. Circulation 98, 193-195 (1998)
10. Reed, D., et al.: Are aortic aneurysms caused by atherosclerosis? Circulation 85, 205-211 (1992)
11. Powell, J., Greenhalgh R.: Cellular, enzymatic, and genetic factors in the pathogenesis of abdominal aortic aneurysms. J. Vasc. Surg. 9(2), 297-304 (1989)
12. Silverstein, M.D., et al.: Abdominal aortic aneurysm (AAA): Cost-effectiveness of screening, surveillance of intermediate-sized AAA, and management of symptomatic AAA. Proc. Baylor Univ. Med. Center 18(4), 345-367 (2005)
13. Nakayama, Y., et al.: Giant fusiform aneurysm of basilar artery: Consideration of its pathogenesis. Surg. Neurol. 51, 140-145 (1999)
14. Hademenos, G., Massoud T.: The Physics of Cerebralvascular Diseases, pp. 311. Springer-Verlag, New York (1998)
15. Sekhar, L.N., Heros, R.C.: Origin, growth, and rupture of saccular aneurysms: A review. Neurosurgery 8(2), 248-260 (1981)
16. Byrne, J., Guglielmi, G.: Endovascular Treatment of Intracranial Aneurysms, pp. 248. Springer-Verlag, Berlin (1981)
17. Krex, D., Schackert, H.K., Schackert, G.: Genesis of cerebral aneurysms -An update. Acta. Neurochirurgica (Wien) 143(5), 429-448; discussion 448-449 (2001)
18. Bederson, J.B., et al.: Recommendations for the management of patients with unruptured intracranial aneurysms: A statement for healthcare professionals from the stroke council of the American Heart Association. Stroke 31(11), 2742-2750 (2000)
19. Rinkel, G.J.E., et al.: Prevalence and risk of rupture of intracranial aneurysms. A systematic review. Stroke 29(1), 251-256 (1998)
20. Wardlaw, J., White, P.: The detection and management of unruptured intracranial aneurysms. Brain 123, 205-221 (2000)
21. Schievink, W.I.: Intracranial aneurysms. New Engl. J. Med. 336, 28-40 (1997)
22. Ma, B., Harbaugh, R.E., Raghavan, M.L.: Three-dimensional geometrical characterization of cerebral aneurysms. Ann. Biomed. Eng. 32, 264-273 (2004)
23. Humphrey, J.D., Na, S.: Elastodynamics and arterial wall stress. Ann. Biomed. Eng. 30, 509-523 (2002)
24. Juvela, S., Porras, M., Poussa, K.: Natural history of unruptured intracranial aneurysms: Probability of and risk factors for aneurysm rupture. J. Neurosurg. 93(3), 379-387 (2000)
25. Steiger, H.J., et al.: Growth of aneurysms can be understood as passive yield to blood pressure: An experimental study. Acta. Neurochirurgica. 100, 74-78 (1989)
26. Lawton, M.T., Spetzler, R.F.: Surgical strategies for giant intracranial aneurysms. Acta. Neurochirurgica. Supp. 72, 141-156 (1999)
27. Peerless, S., Wallace, M., Drake, C.: Giant intracranial aneurysms. In: Youmans J. (ed.) Neurological Surgery. A Comprehensive Reference Guide to the Diagnosis and Management of Neurological Problems, pp. 1742-1763. W.B. Saunders, Philadelphia (1990)
28. Pia, H.W., Zierski J.: Giant cerebral aneurysms. Neurosurg. Rev. 5(4), 117-148 (1982)
29. Kodama, N., Suzuki, J.: Surgical treatment of giant aneurysms. Neurosurg. Rev. 5(4), 155-160, (1982)
30. Bale-Glickman, J., et al.: Experimental flow studies in exact-replica phantoms of atherosclerotic carotid bifurcations under steady input conditions. J. Biomech. Eng. 125, 38-48 (2003)
31. Friedman, M.H., et al.: Correlation between intimal thickness and fluid shear in human arteries. Atherosclerosis 39, 425 (1981)
32. Zarins, C.K., et al.: Carotid bifurcation atherosclerosis. Quantitative correlation of plaque localization with flow velocity profiles and wall shear stress. Circ. Res. 53, 502-514 (1983)
33. Ku, D.N., et al.: Pulsatile flow and atherosclerosis in the human carotid bifurcation. Arteriosclerosis 5, 293-302 (1985)
34. Berger, S.A., Jou, L.-D.: Flows in stenotic vessels. Ann. Rev. FluidMech. 32, 347-384 (2000)
35. Berger, S.A., Rayz, V.L.: Flow in the Stenotic Carotid Bifurcation. In: Hafez, M. (ed.) Numerical Simulations of Incompressible Flows. World Scientific Publishing Co. Pvt. Ltd. (2003)
36. Stroud, J.S., Berger, S.A., Saloner, D.: Numerical analysis of flow through a severely stenotic carotid artery bifurcation. J. Biomech. Eng. 124, 9-20 (2002)
37. Davies, P.F., et al.: Hemodynamics and atherogenesis. Endothelial surface dynamics in flow signal transduction. Ann. New York Acad. Sci. 748, 86-102; discussion 102-103 (1995)
38. Friedman, M.H., et al.: Arterial geometry affects hemodynamics. A potential risk factor for atherosclerosis. Atherosclerosis 46, 225-231 (1983)
39. Giddens, D.P., Zarins, C.K., Glagov, S.: The role of fluid mechanics in the localization and detection of atherosclerosis. Trans. ASME 115, 588-594 (1993)
40. Glagov, S., et al.: Hemodynamics and atherosclerosis. Insights and perspectives gained from studies of human arteries. Arch. Pathol. Lab. Med. 112(10), 1018-1031 (1988)
41. Fry, D.L.: Acute vascular endothelial changes associated with increased blood velocity gradients. Circ. Res. 22(2), 165-197 (1968)
42. Caro, C.G., Fitzgerald, J.M., Schroter, R.C.: Atheroma and arterial wall shear observations, correlation and proposal of a shear dependent mass transfer mechanism for atherogenesis. Proc. Roy. Soc. London Series B 17, 109-159 (1971)
43. Ku, D.N., et al.: Pulsatile flow and atherosclerosis in the human carotid bifurcation. Positive correlation between plaque location and low oscillating shear stress. Arteriosclerosis 5(3), 293-302 (1985)
44. Lieber, B.B., Giddens, D.P.: Post-stenotic core flow behavior in pulsatile flow and its effects on wall shear stress. J. Biomech. 23, 597-605 (1990)
45. Langille, B.L., Reidy, M.A., Kline, R.L.: Injury and repair of endothelium at sites of flow disturbances near abdominal aortic coarctations in rabbits. Arteriosclerosis 6(2), 146-154 (1986)
46. Zarins, C.K., et al.: Shear stress regulation of artery lumen diameter in experimental atherogenesis. J. Vasc. Surg. 5, 413-420 (1987)
47. Friedman, M.H., et al.: Shear-dependent thickening of the human arterial intima. Atherosclerosis 60(2), 161-171 (1986)
48. Friedman, M.H.: A biologically plausible model of thickening of arterial intima under shear. Arteriosclerosis 9(4), 511-522 (1989)
49. Lee, D., and Chiu, J.J.: Intimal thickening under shear in carotid bifurcation -a numerical study. J. Biomech. 29, 1-11 (1996)
50. Rappitsch, G., Perktold, K.: Pulsatile albumin transport in large arteries: A numerical simulation study. J. Biomech. Eng. 118(4), 511-519 (1996)
51. Ma, P., Li, X., Ku, D.N.: Convective mass transfer at the carotid bifurcation. J. Biomech. 30, 565-571 (1997)
52. Jo, H., et al.: Endothelial albumin permeability is shear dependent, time dependent, and reversible. Am. J. Physiol. 260(6 Pt 2), H1992-H1996 (1991)
53. Ogunrinade, O., Kameya, G.T., Truskey, G.A.: Effect of fluid shear stress on the permeability of the arterial endothelium. Ann. Biomed. Eng. 30, 430-446 (2002)
54. Dewey, C.F., et al.: The dynamic response of vascular endothelial cells to fluid shear stress. ASME J. Biomech. Eng. 103, 177-185 (1981)
55. Nerem, R.M., Levesque, M.J., Cornhill, J.F.: Vascular endothelial morphology as an indicator of blood flow. ASME J. Biomech. Eng. 103, 172-176 (1981)
56. DePaola, N., et al.: Vascular endothelium responds to fluid shear stress gradients. Arterioscler. Thromb. 12(11), 1254-1257 (1992)
57. Weinbaum, S., Chien, S.: Lipid transport aspects of atherogenesis. J. Biomech. Eng. 115(4B), 602-610 (1993)
58. Morigi, M., et al.: Fluid shear stress modulates surface expression of adhesion molecules by endothelial cells. Blood 85, 1696-1703 (1995)
59. Nagel, T., et al.: Shear stress selectively upregulates intercellular adhesion molecule-1 expression in cultured human vascular endothelial cells. J. Clin. Invest. 94, 885-891 (1994)
60. Simon, S.I., Goldsmith, H.L.: Leukocyte adhesion dynamics in shear flow. Ann. Biomed. Eng. 30, 315-332 (2002)
61. Jou, L.D., et al.: Computational approach to quantifying hemodynamic forces in giant cerebral aneurysms. Am. J. Neuroradiol. 24, 1804-1810 (2003)
62. Steinman, D.A., et al.: Image-based computational simulation of flow dynamics in a giant intracranial aneurysm. Am. J. Neuroadiol. 24, 559-566 (2003)
63. Imbesi, S.G., Kerber, C.W.: Analysis of slipstream flow in a wide-necked basilar artery aneurysm: evaluation of potential treatment regimes. Am. J. Neuroadiol. 22, 721-724 (2001)
64. Mantha, A., et al.: Hemodynamics in a cerebral artery before and after the formation of an aneurysm. Am. J. Neuroradiol. 27, 1113-1118 (2006)
65. Burleson, A., Turitto, V.: Identification of quantifiable hemodynamic factors in the assessment of cerebral aneurysm behavior. Thromb Haemostasis 76, 118-23 (1996)
66. Gobin, Y.P., et al.: In vitro study of haemodynamics in a giant saccular aneurysm model: influence of flow dynamics in the parent vessel and effects of coil embolisation. Neuroradiology 36, 530-536 (1994)
67. Liu, Y., et al.: Pulsatile flow simulation in arterial vascular segments with intravascular ultrasound images. Med. Eng. Phys. 23, 583-595 (2001)
68. Myers, J.G., et al.: Factors influencing blood flow patterns in the human right coronary artery. Ann. Biomed. Eng. 29, 109-120 (2001)
69. Lei, M., Kleinstreuer, C., Truskey, G.A.: Numerical investigation and prediction of atherogenic aites in branching arteries. J. Biomech. Eng. 117, 350-357 (1995)
70. Jou, L.D., et al.: Correlation between lumenal geometry changes and hemodynamics in fusiform intracranial aneurysms. Am. J. Neuroradiol. 26, 2357-2363 (2005)
71. Sekhar, L., Heros, R.: Origin, growth, and rupture of saccular aneurysms: A review. Neurosurgery 8, 248-260 (1981)
72. Awad, I.A., Barrow, D.L. (eds.): Giant Intracranial Aneurysms, pp. 299. American Association of Neurological Surgeons (1995)
73. Strother, C.: In vitro study of haemodynamics in a giant saccular aneurysm model: Influence of flow dynamics in the parent vessel and effects of coil embolization. Neuroradiology 37, 159-161 (1995)
74. Gobin, Y., et al.: In vitro study of haemodynamics in a giant aneurysm model: Influence of flow dynamics in the parent vessel and effects of coil embolization. Neuroradiology 36, 530-536 (1994)
75. Steiger, H.J., et al.: Hemodynamic stress in lateral saccular aneurysms. Acta. Neurochirurgica. 86, 98-105 (1987)
76. Steiger, H., et al.: Basic flow structure in saccular sneurysms: A flow visualization study. Heart & Vessels 3, 55-65 (1987)
77. Burleson, A., Strother, C., Turitto, V.: Computer modeling of intracranial saccular and lateral aneurysms for the study of their hemodynamics. Neurosurgery 37(4), 774-784 (1995)
78. Ferziger, J., Peric, M.: Computational Methods for Fluid Dynamics. Springer, Berlin (1996)
79. Taylor, C.A., Hughes, J.R., Zarins, C.K.: Finite element modeling of blood flow in arteries. Comput. Meth. Appl. Mech. Eng. 158, 155-196 (1998)
80. Steinman, D.A.: Image-based computational fluid dynamics modeling in realistic arterial geometries. Ann. Biomed. Eng. 30, 483-497 (2002)
81. Moyle, K.R., Antiga, L., Steinman, D.A.: Inlet conditions for image-based CFD models of the carotid bifurcation: Is it reasonable to assume fully developed flow? J. Biomech. Eng. 128, 371-379 (2006)
82. Castro, M.A., Putman, C.M., Cebral, J.R.: Computational fluid dynamics modeling of intracranial aneurysms: Effects of parent artery segmentation on intra-aneurysmal hemodynamics. Am. J. Neuroradiol. 27, 1703-1709 (2006)
83. Milner, J.S., et al.: Hemodynamics of human carotid artery bifurcations: computational studies with models reconstructed from magnetic resonance imaging of normal subjects. J. Vascular Surg. 28, 143-156 (1998)
84. Womersley, J.R.: Oscillatory motion of a viscous liquid in a thin-walled elastic tube. I. The linear approximation for long waves. Philos. Mag. 7, 199-221 (1955)
85. Formaggia, L., et al.: Multiscale modelling of the circulatory system: A preliminary analysis. Comput. Visual. Sci. 2, 75-83 (1999)
86. Wan, J., et al.: A one-dimensional finite element method for simulation-based medical planning for cardiovascular disease. Comput. Meth. Biomech. Biomed. Eng. 5, 195-206 (2002)
87. Olufsen, M.S., et al.: Numerical simulation and experimental validation of blood flow in arteries with structured-tree outflow conditions. Ann. Biomed. Eng. 28(11), 1281-1299 (2000)
88. Formaggia, L., et al.: On the Coupling of 3D and 1D Navier-Stokes Equations for Flow Problems in Compliant Vessels. Computer Methods in Applied Mechanics and Engineering, 191, pp. 561-582 (2001)
89. Vignon-Clementel, I.E., et al., Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries. Computer Methods in Applied Mechanics and Engineering, 2006. 195: pp. 3776-3796
90. Rayz, V.L., Berger, S., Saloner, D.: Transitional flows in arterial fluid dynamics. Comput. Meth. Appl. Mech. Eng. 196, 3043-3048 (2007)
91. Shahcheraghi, N., et al.: Unsteady and three-dimensional simulation of blood flow in the human aortic arch. J. Biomech. Eng. 124(4), 378-387 (2002)
92. Shadden, S.C., Lekien, F., Marsden, J.E.: Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows. Physica. D 212, 271-304 (2005)
93. Shadden, S.C., Taylor, C.A.: Characterization of coherent structures in the cardiovascular system. Ann. Biomed. Eng. 36(7), 1152-1162 (2008)
94. Kim, S.: A Study of Non-Newtonian Viscosity and Yield Stress of Blood in a Scanning Capillary-Tube Rheometer. Drexel University (2002)
95. Thurston, G.B.: Viscoelasticity of human blood. Biophys. J. 12, 1205-1217 (1972)
96. Chien, S., et al.: Effect of hematocrit and plasma proteins on human blood rheology at low shear rates. J. Appl. Physiol. 21, 81-87 (1966)
97. Patel, D.J., Vaishnav, R.N.: Basic Hemodynamics and Its Role in Disease Processes. University Park Press, Baltimore, MD (1980)
98. Perktold, K., Resch, M., Florian, H.: Pulsatile non-Newtonian flow characteristics in a threedimensional human carotid bifurcation model. J. Biomech. Eng. 113, 464-475 (1991)
99. Lowe, G.D.O., et al.: Blood viscosity and risk of cardiovascular events: The Edinburgh Artery Study. Br. J. Haematol. 96, 168-173 (1997)
100. Sloop, G.D., Garber, D.W.: The effects of low-density lipoprotein and high-density lipoprotein on blood viscosity correlate with their association with risk of atherosclerosis in humans. Clin. Sci. 92, 473-479 (1997)
101. Fisher, M., Meiselman, H.J.: Hemorheological factors in cerebral ischemia. Stroke 122, 1164-1169 (1991)
102. Liepsch, D.W.: Effect of flood flow parameters on flow patterns at arterial bifurcations studies in models. In: Liepsch, D.W. (ed.) Blood Flow in Large Arteries: Applications to Atherogenesis and Clinical Medicine, Monographs on Atherosclerosis, pp. 63-76. Basel, Karger (1990)
103. Tu, C., Deville, M.: Pulsatile flow of non-Newtonian fluids through arterial stenosis. J. Biomech. 29, 899-908 (1996)
104. Choi, H.W., Barakat, A.I.: Numerical study of the impact of non-Newtonian blood behavior on flow over a two-dimensional backward facing step. Biorheology 42, 493-509 (2005)
105. Misra, J.C., Patra, M.K., Misra, S.C.: A non-Newtonian fluid model for blood flow through arteries under stenotic conditions. J. Biomech. Eng. 26, 1129-1141 (1993)
106. Leuprecht, A., Perktold, K.: Computer simulation of non-Newtonian effects on blood flow in large arteries. Comput. Meth. Biomech. Biomed. Eng. 4, 149-163 (2001)
107. Nakamura, M., Sawada, T.: Numerical study on the flow of a non-Newtonian fluid through an axisymmetric stenosis. J. Biomech. Eng. 110, 137-143 (1988)
108. Chaturani, P., Samy, R.P.: A study of non-Newtonian aspects of blood flow through stenosed arteries and its applications in arterial diseases. Biorheology 22, 521-531 (1985)
109. Valencia, A., et al.: Non-Newtonian blood flow dynamics in a right internal carotid artery with a saccular aneurysm. Int. J. Numer. Meth. Fluids 50, 751-764 (2006)
110. Johnston, B.M., et al.: Non-Newtonian blood flow in human right coronary arteries: Transient simulations. J. Biomech. 39, 1116-1128 (2006)
111. Thurston, G.B.: Effects of hematocrit on blood viscoelasticity and in establishing normal values. Biorheology 15, 239-249 (1978)
112. Picart, C., et al.: Human blood shear yield stress and its hematocrit dependence. J. Rheology 42, 1-12 (1998)
113. Walburn, F.J., Schneck, D.J.: A constitutive equation for whole human blood. Biorheology 13, 201-210 (1976)
114. Yeleswarapu, K.K.: Evaluation of continuum model for characterizing the constitutive behavior of blood, Ph.D. thesis, University of Pittsburg (1996)
115. Yeleswarapu, K.K., et al.: The flow of blood in tubes: Theory and experiment. Mech. Res. Commun. 25, 257-262 (1998)
116. Low, M., Perktold, K., Raunig, R.: Hemodynamics in rigid and distensible saccular aneurysms: A numerical study of pulsatile flow characteristics. Biorheology 30, 287-298 (1993)
117. Perktold, K., Peter, R., Resch, M.: Pulsatile non-Newtonian blood flow simulation through a bifurcation with an aneurysm. Biorheology 26, 1011-1030 (1989)
118. Valencia, A.A., et al.: Blood flow dynamics in saccular aneurysm models of the basilar artery. J. Biomech. Eng. 128, 516-526 (2006)
119. Kerber, C.W., et al.: Flow dynamics in a fatal aneurysm of the basilar artery. AJNR Am. J. Neuroradiol. 17, 1417-1421 (1996)
120. Lee, S.W., Steinman, D.A.: On the relative importance of rheology for image-based CFD models of the carotid bifurcation. J. Biomech. Eng. 129(2), 273-278 (2007)
121. Rayz, V.L., et al.: Numerical modeling of the flow in intracranial aneurysms: Prediction of regions prone to thrombus formation. Ann. Biomed. Eng. 36(11), 1793-804 (2008)
122. Anand, M., Rajagopal, K.R.: A mathematical model to describe the change in the constitutive character of blood due to platelet activation. CR Mecanique 330, 557-562 (2002)
123. Fogelson, A.L.: Continuum models of platelet aggregation: Formulation and mechanical properties. SIAM J. Appl. Maths. 52, 1089-1110 (1992)
124. Hathcock, J.J.: Flow effects on coagulation and thrombosis. Arterioscler. Thrombosis Vasc. Biol. 26, 1729-1737 (2006)
125. Khalifa, A.M.A., Giddens, D.P.: Characterization and evolution of poststenotic flow disturbances. J. Biomech. 14, 279-296 (1981)
126. Kim, B.M., Corcoran, W.H.: Experimental measurements of turbulence spectra distal to stenoses. J. Biomech. 7, 335-342 (1974)
127. Clark, C.: Turbulent velocity measurements in a model of aortic stenosis. J. Biomech. 9, 677-687 (1976)
128. Clark, C.: The propagation of turbulence produced by a stenosis. J. Biomech. 13, 591-604 (1980)
129. Cassanova, R.A., Giddens, D.P.: Disorder distal to modeled stenoses in steady and pulsatile flow. J. Biomech. 11(10-12), 441-453 (1978)
130. Mittal, R., Simmons, S.P., Udaykumar, H.S.: Application of large-eddy simulation to the study of pulsatile flow in a modeled arterial stenosis. J. Biomech. Eng. 123, 325-332 (2001)
131. Ghalichi, F., et al.: Low Reynolds number turbulence modeling of blood flow in arterial stenoses. Biorheology 35(4-5), 281-294 (1998)
132. Ghalichi, F., Deng, X.: Turbulence detection in a stenosed artery bifurcation by numerical simulation of pulsatile blood flow using the low-Reynolds number turbulence model. Biorheology 40, 637-654 (2003)
133. Deshpande, M.D., Giddens, D.P.: Turbulence measurements in a constricted tube. J. Fluid Mech. 97, 65-89 (1980)
134. Ahmed, S.A., Giddens, D.P.: Flow disturbance measurements through a constricted tube at moderate Reynolds numbers. J. Biomech. 16(12), 955-963 (1983)
135. Loree, H.M., et al.: Turbulent pressure fluctuations on surface of model vascular stenoses. Am. J. Physiol. 261, H644-H650 (1991)
136. Bluestein, D., Einav, S., The effect of varying degrees of stenosis on the characteristics of turbulent pulsatile flow through heart valves. J. Biomech. 28, 915-924 (1995)
137. Wilcox, D.C.: A half century historical review of the k-w model. AIAA-91-0615 (1991)
138. Stroud, J.S.: Numerical simulation of blood flow in the stenotic artery bifurcation, Ph.D. thesis, University of California (2000)
139. Mittal, R., Simmons, S.P., Udaykumar, H.S.: Application of large-eddy simulation to the study of pulsatile flow in a modeled arterial stenosis. J. Biomech. Eng. 123, 325-332 (2001)
140. Holzapfel, G.A., Gasser, T.C., Ogden, R.W.: A new constitutive framework for arterial wall mechanics and a comparative study of material models. J. Elasticity 61, 1-48 (2000)
141. Holzapfel, G.A., Schulze-Bauer, C.A.J., Stadler, M.:Mechanics of angioplasty: Wall, balloon and stent. In: Mechanics in Biology, ASME, AMD-242/BED-46, 141-156 (2000)
142. Hughes, T.J.R., Liu, W.K., Zimmermann, T.K.: Lagrangian-Eulerian finite element formulation for incompressible viscous flows. Comput. Meth. Appl. Mech. Eng. 29, 329-349 (1981)
143. Huo, Y., Kassab, G.S.: Pulsatile blood flow in the entire coronary arterial tree: Theory and experiment. Am. J. Physiology-Heart Circ. Physiol. 291(3), H1074-H1087 ( 2006)
144. Huo, Y., et al., Effects of vessel compliance on flow pattern in the porcine epicardial right coronary arterial tree. J. Biomech. 42(5), 594-602 (2009)
145. Younis, H.F., et al.: Hemodynamics and wall mechanics in human carotid bifurcation and its consequences for atherogenesis: Investigation of inter-individual variation. Biomech. Model. Mechanobiol. 3(1), 17-32 (2004)
146. Torii, R., et al.: Influence of wall elasticity in patient-specific hemodynamic simulations. Comput. Fluids 36(1), 160-168 (2007)
147. Figueroa, A., et al.: A coupled momentum method to model blood flow in deformable arteries. WCCM VI in conjunction with APCOM'04 Beijing, China (2004)
148. Steinman, D.A.: Image-based computational fluid dynamics: A new paradigm for monitoring hemodynamics and atherosclerosis. Curr. Drug Targets -Cardiovasc. Haematol. Disorders 4, 183-197 (2004)
149. Taylor, C.A., et al.: Predictive medicine: Computational techniques in therapeutic decisionmaking. Comput. Aided Surg. 4, 231-247 (1999)
150. Long, Q., et al.: The combination of magnetic resonance angiography and computational fluid dynamics: A critical review. Crit. Rev. Biomed. Eng. 26, 227-274 (1998)
151. Saloner, D., et al.: Imaging and CFD in the analysis of vascular disease progression. In:Medical Imaging 2006: Physiology, Function, and Structure from Medical Images. San Diego, CA (2006)
152. Bergeron, P., et al.: Radiation doses to patients in neurointerventional procedures. Am. J. Neuroradiol. 15, 1809-1812 (1994)
153. Long, Q., et al.: Reconstruction of blood flow patterns in a human carotid bifurcation: A combined CFD and MRI study. J. Magn. Reson. Imag. 11, 299-311 (2000)
154. Tateshima, S., et al.: Intraaneurysmal flow dynamics study featuring an acrylic aneurysm model manufactured using a computerized tomography angiogram as a mold. J. Neurosurg. 95, 1020-1027 (2001)
155. Long, Q., et al.: Numerical study of blood flow in an anatomically realistic aorto-iliac bifurcation generated from MRI data. Magnet. Reson. Med. 43, 565-576 (2000)
156. Wang, K.C., Dutton, R.W., Taylor, C.A.: Improving geometric model construction for blood flow modeling. IEEE Eng. Med. Biol. Mag. 18, 33-39 (1999)
157. Zhao, S.Z., et al.: Blood flow and vessel mechanics in a physiologically realistic model of a human carotid arterial bifurcation. J. Biomech. 33, 975-984 (2000)
158. Moore, J.A., et al.: Accuracy of computational hemodynamics in complex arterial geometries reconstructed from magnetic resonance imaging. Ann. Biomed. Eng. 27(1), pp. 32-41 (1999)
159. Ladak, H.M., et al.: A semi-automatic technique for measurement of arterial wall from black blood MRI. Med. Phys. 28, 1098-1107 (2001)
160. Osher, S., Sethian, J.A.: Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 79, 12-49 (1988)
161. Wang, K.C.-Y.: Level set methods for computational prototyping with application to hemodynamic modeling, Ph.D. thesis, Stanford University (2001)
162. Sethian, J.A.: Level Set Methods and Fast Marching Methods, 2 edn. Cambridge University Press, Cambridge (1999)
163. Cebral, J.R., et al.: Efficient pipeline for image-based patient-specific analysis of cerebral aneurysm hemodynamics: Technique and sensitivity. IEEE Trans. Med. Imag. 24(4), 457-467 (2005)
164. Boussel, L., et al.: Aneurysm growth occurs at region of low wall shear stress: Patient-specific correlation of hemodynamics and growth in a longitudinal study. Stroke 39, 2997-3002 (2008)
165. Stroud, J.S., Berger, S.A., Saloner, D.: Influence of stenosis morphology on flow through severely stenotic vessels: Implications for plaque rupture. J. Biomech. 33(4), 443-455 (2000)
166. Kaazempur-Mofrad, M.R., et al.: Characterization of the atherosclerotic carotid bifurcation using MRI, finite element modeling, and histology. Ann. Biomed. Eng. 32, 932-946 (2004)
167. Steinman, D.A., et al.: Flow patterns at the stenosed carotid bifurcation: Effect of concentric versus eccentric stenosis. Ann. Biomed. Eng. 28, 415-423 (2000)
168. Tambasco, M., Steinman, D.A.: Path-dependent hemodynamics of the stenosed carotid bifurcation. Ann. Biomed. Eng. 31, 1054-1065 (2003)
169. Hassan, T., et al.: Computational simulation of therapeutic parent artery occlusion to treat giant vertebrobasilar aneurysm. Am. J. Neuroradiol. 25, 63-68 (2004)
170. Burleson, A.C., Strother, C.M., Turitto, V.T.: Computer modeling of intracranial saccular and lateral aneurysms for the study of their hemodynamics. Neurosurgery 37, 774-782 (1995)
171. Valencia, A., et al.: Comparison of haemodynamics in cerebral aneurysms of different sizes located in the ophthalmic artery. Int. J. Numeric. Meth. Fluids 53, 793-809 (2007)
172. Tateshima, S., et al.: Intra-aneurysmal hemodynamics during the growth of an unruptured aneurysm: in vitro study using longitudinal CT angiogram database. Am. J. Neuroradiol. 28(4), 622-627 (2007)
173. Jou, L.D., et al.: Wall shear stress on ruptured and unruptured intracranial aneurysms at the internal carotid artery. Am. J. Neuroradiol. 29, 1761-1767 (2008)
174. Pelc, N.J.: Flow quantification and analysis methods. Magn. Reson. Imag. Clin. North Am. 3, 413-424 (1995)
175. Sommer, G., et al.: Renal blood flow: Measurement in vivo with rapid spiral MR imaging. Radiology 208(3), 729-734 (1998)
176. Markl, M., et al.: Time-resolved three-dimensional phase-contrast MRI. J. Magn. Reson. Imag. 17(4), 499-506 (2003)
177. Markl, M., Alley, M.T., Pelc, N.J.: Balanced phase-contrast steady-state free precession (PC-SSFP): A novel technique for velocity encoding by gradient inversion. Magn. Reson. Med. 49(5), 945-952 (2003)
178. Steinman, D.A., et al.: Reconstruction of carotid bifurcation hemodynamics and wall thickness using computational fluid dynamics and MRI. Magn. Reson. Med. 47(1), 149-159 (2002)
179. Rayz, V.L., et al.: Numerical simulations of flow in cerebral aneurysms: Comparison of CFD results and in vivo MRI measurements. J. Biomech. Eng. 130(5):051011 (2008)
180. Boussel, L., Rayz, V.L., Martin, A., Acevedo-Bolton, G., Lawton, M., Higashida, R., Smith, W.S., Young, W.L., and Saloner, D.: Phase-Contrast MRI measurements in intra-cranial aneurysms in-vivo of flow patterns, velocity fields and wall shear stress: A comparison with CFD. Magnetic Resonance in Medicine, 61:409-417 (2009)
181. Acevedo-Bolton, G., et al.: Estimating the hemodynamic impact of interventional treatments of aneurysms: Numerical simulation with experimental validation: Technical case report. Neurosurgery 59, E429-E430 (2006)
182. Bharadvaj, B.K., Mabon, R.F., Giddens, D.P.: Steady flow in a model of the human carotid bifurcation. Part II -Laser-Doppler anemometer measurements. J. Biomech. 15(5), 363-378 (1982)
183. Motomiya,M., Karino, T.: Flow patterns in the human carotid artery bifurcation. Stroke 15(1), 50-56 (1984)
184. Kerber, C.W., Heilman, C.B.: Flow dynamics in the human carotid artery: I. Preliminary observations using a transparent elastic model. Am. J. Neuroradiol. 13(1), 173-180 (1992)
185. Ku, D.N., Giddens, D.P.: Pulsatile flow in a model carotid bifurcation. Arteriosclerosis 3(1), 31-39 (1983)
186. LoGerfo, F.W., Nowak, M.D., Quist, W.C.: Structural details of boundary layer separation in a model human carotid bifurcation under steady and pulsatile flow conditions. J. Vasc. Surg. 2(2), 263-269 (1985)
187. Rindt, C.C., Steenhoven, A.A.: Unsteady flow in a rigid 3-D model of the carotid artery bifurcation. J. Biomech. Eng. 118(1), 90-96 (1996)
188. Ku, D.N., Giddens, D.P.: Laser Doppler anemometer measurements of pulsatile flow in a model carotid bifurcation. J. Biomech. 20(4), 407-421 (1987)
189. Adrian, R.J.: Particle-imaging techniques for experimental fluid-mechanics. Ann. Rev. Fluid Mech. 23, 261-304 (1991)
190. Cebral, J.R., et al.: Blood flow modeling in carotid arteries with computational fluid dynamics and MR imaging. Acad. Radiol. 9(11), 1286-1299 (2002)
191. Zhao, S.Z., et al.: Comparative study of magnetic resonance imaging and image-based computational fluid dynamics for quantification of pulsatile flow in a carotid bifurcation phantom. Ann. Biomed. Eng. 31(8), 962-971 (2003)
192. Long, Q., et al.: Quantitative comparison of CFD predicted and MRI measured velocity fields in a carotid bifurcation phantom. Biorheology 39(3-4), 467-474 (2002)
193. Leuprecht, A., et al.: Combined CFD and MRI study of blood flow in a human ascending aorta model. Biorheology 39(3-4), 425-429 (2002)
194. Kohler, U., et al.: MRI measurement of wall shear stress vectors in bifurcation models and comparison with CFD predictions. J. Magn. Reson. Imag. 14(5), 563-573 (2001)
195. Perktold, K., et al.: Validated computation of physiologic flow in a realistic coronary artery branch. J. Biomech. 31(3), 217-228 (1998)
196. Ford, M.D., et al.: PIV-Measured versus cfd-predicted flow dynamics in anatomically realistic cerebral aneurysm models. J. Biomech. Eng. 130(2), 021015 (2008)
197. Metcalfe, R.W.: The promise of computational fluid dynamics as a tool for delineating therapeutic options in the treatment of aneurysms. Am. J. Neuroadiol. 24, 553-554 (2003)
198. Rayz, V.L., et al.: Numerical simulation of pre-and post-surgical flow in a giant basilar aneurysm. J. Biomech. Eng. 130, 021004 (2008)