Image-based computational hemodynamics methods and their application for the analysis of blood flow past endovascular devices

Biomechanical Systems Technology: Volume 1: Computational Methods

Volumn , Issue , 2007, Pages 29-86

  Cebral, J R ^a   Lohner R ^a   Appanaboyina, S ^a   Putman, C M ^b  

^a GEORGE MASON UNIVERSITY   (United States)

^b INOVA FAIRFAX HOSPITAL   (United States)

Author keywords

Cerebral aneurysms; Computational fluid dynamics; Embedded grids; Hemodynamics; Stents

Indexed keywords

BLOOD; COMPUTATION THEORY; COMPUTATIONAL FLUID DYNAMICS; COMPUTATIONAL GEOMETRY; STENTS;

ADAPTIVE GRID EMBEDDING; CEREBRAL ANEURYSMS; COMPUTATIONAL FLUID DYNAMICS MODELS; EMBEDDED GRIDS; ENDOVASCULAR TREATMENT; IMAGE BASED COMPUTATIONAL HEMODYNAMICS; INTRACRANIAL ANEURYSMS; PATIENT SPECIFIC MODEL;

HEMODYNAMICS;

EID: 67649721863     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/9789812770042_0002     Document Type: Chapter

References (143)

1. W. E. Stehbens, Intracranial aneurysms, in Pathology of the Cerebral Blood Vessels (The C. V. Mosby Company, St. Louis, MO, 1972), pp. 351-470.
2. B. Weir, Unruptured intracranial aneurysms: a review. J. Neurosurg. 96 (2002) 3-42.
3. G. N. Foutrakis, H. Yonas and R. J. Sclabassi, Saccular aneurysm formation in curved and bifurcation arteries. AJNR Am. J. Neuroradiol. 20 (1999) 1309-1317.
4. F. Tomasello, D. D’Avella, F. M. Salpietro and M. Longo, Asymptomatic aneurysms. Literature meta-analysis and indications for treatment. J. Neurosurg. Sci. 42(1) (1998) 47-51.
5. H. R. Winn, J. A. Jane, J. Taylor, D. Kaiser and G. W. Britz, Prevalence of asymptomatic incidental aneurysms: review of 4568 arteriograms. J. Neurosurg. 96(1) (2002) 43-49.
6. F. H. Linn, G. J. Rinkel, A. Algra and J. van Gijn, Incidence of subarachnoid hemorrhage: role of region, year and rate of computed Tomography: a meta-analysis. Stroke 27(4) (1996) 625-629.
7. M. Kaminogo, M. Yonekura and S. Shibata, Incidence and outcome of multiple intracranial aneurysms in a defined population. Stroke 34(1) (2003) 16-21.
8. C. Kim, J. Cervos-Navarro, C. Patzold, Y. Tokuriki, Y. Takebe and K. Hori, In vivo study of flow pattern at human carotid bifurcation with regard to aneurysm development. Acta Neurochir (Wien) 115(3-4) (1992) 112-117.
9. K. N. T. Kayembe, M. Sasahara and F. Hazama, Cerebral aneurysms and variations of the circle of Willis. Stroke 15 (1984) 846-850.
10. N. F. Kassell, J. C. Torner, E. C. J. Haley, J. A. Jane, H. P. Adams and G. L. Kongable, The international cooperative study on the timing of aneurysm surgery. Part 1: Overall management results. J. Neurosurg 73(1) (1990) 18-36.
11. H. Nishioka, J. C. Torner, C. J. Graf, N. F. Kassell, A. L. Sahs and L. C. Goettler, Cooperative study of intracranial aneurysms and subarachnoid hemorrhage: a longterm prognostic study. II. Ruptured intracranial aneurysms managed conservatively. Arch. Neurol. 41(11) (1984) 1142-1146.
12. P. M. White and J. M. Wardlaw, Unruptured intracranial aneurysms. J. Neuroradiol 30(5) (2003) 336-350.
13. A. Molyneux, R. Kerr, I. Stratton, P. Sandercock, M. Clarke, J. Shrimpton and R. Holman, International Subarachnoid Aneurysm Trial (ISAT) Collaborative Group. International Subarachnoid Aneurysm Trial (ISAT) of neurosurgical clipping versus endovascular coiling in 2143 patients with ruptured intracranial aneurysms:a randomised trial. Lancet 360(9342) (2002) 1267-1274.
14. A. J. Ringer, D. K. Lopes, A. L. Boulos, L. R. Guterman and L. N. Hopkins, Current techniques for endovascular treatment of intracranial aneurysms. Semin. Cerebrovasc. Dis. Stroke 1(1) (2001).
15. C. W. Kerber and C. B. Heilman, Flow in experimental berry aneurysms: method and model. AJNR Am. J. Neuroradiol. 4(3) (1983) 374-377.
16. C. W. Kerber, S. G. Imbesi and K. Knox, Flow dynamics in a lethal anterior communicating artery aneurysm. AJNR Am. J. Neuroradiol. 20(10) (1999) 2000-2003.
17. Y. P. Gobin, J. L. Counard and P. Flaud, 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 36(7) (1994) 530-536.
18. S. K. Kyriacou and J. D. Humphrey, Influence of size, shape and properties on the mechanics of axisymmetric saccular aneurysms. J. Biomech. 29(8) (1996) 1015-1022.
19. H. V. Ortega, Computer simulation helps predict cerebral aneurysms. J. Med. Eng. Technol. 22(4) (1998) 179-181.
20. M. H. Buonocore, Visualizing blood flow patterns using streamlines, arrows and particle paths. Magn. Reson. Med. 40(2) (1998) 210-226.
21. H. G. Boecher-Schwarz, K. Ringel, L. Kopacz, A. Heimann and O. Kempski, Ex vivo study of the physical effect of coils on pressure and flow dynamics in experimental aneurysms. AJNR Am. J. Neuroradiol. 21(8) (2000) 1532-1536.
22. C. Groden, J. Laudan, S. Gatchell and H. Zeumer, Three-dimensional pulsatile flow simulation before and after endovascular coil embolization of a terminal cerebral aneurysm. J. Cereb. Blood Flow Metab. 21(12) (2001) 1464-1471.
23. R.W. Metcalfe, The promise of computational fluid dynamics as a tool for delineating therapeutic options in the treatment of aneurysms. AJNR Am. J. Neuroradiol. 24(4) (2003) 553-554.
24. B. B. Lieber, V. Livescu, L. N. Hopkins and A. K. Wakhloo, Particle image velocimetry assessment of stent design influence on intra-aneurysmal flow. Ann. Biomed. Eng. 30 (2002) 768-777.
25. M. Hirabayashi, M. Ohta and D. A. Rufenacht, Characterization of flow reduction properties in an aneurysm due to a stent. Phys. Rev. E Stat. Nonlin. Soft. Matter. Phys. 68(2) (2003) 0219918.
26. C. N. Ionita, Y. Hoi, H. Meng and S. Rudin, Particle image velocimetry (PIV) evaluation of flow modification in aneurysm phantoms using asymmetric stents, in SPIE Med. Imaging (San Diego, California, 2004), pp. 14-19.
27. L. D. Jou, C. M. Quick, W. L. Young, M. T. Lawton, R. Higashida, A. Martin and D. Saloner, Computational approach to quantifying hemodynamic forces in giant cerebral aneurysms. AJNR Am. J. Neuroradiol. 24(9) (2003) 1804-1810.
28. D. A. Steinman, J. S. Milner, C. J. Norley, S. P. Lownie and D. W. Holdworth, Imagebased computational simulation of flow dynamics in a giant intracranial aneurysm. AJNR Am. J. Neuroradiol. 24(4) (2003) 559-566.
29. J. R. Cebral, M. Hernandez and A. F. Frangi, Computational analysis of blood flow dynamics in cerebral aneurysms from CTA and 3D rotational angiography image data. in Int. Con. Comput. Bioeng. Vol. 1 (Zaragoza, Spain, 2003), pp. 191-198.
30. J. R. Cebral, M. Hernandez, A. F. Frangi, C. M. Putman, R. Pergolizzi and J. E. Burgess, Subject-specific modeling of intracranial aneurysms. in SPIE Med. Imaging, Vol. 5369 (San Diego, California, 2004), pp. 319-327.
31. J. R. Cebral, M. A. Castro, J. E. Burgess and C. M. Putman, Cerebral aneurysm hemodynamics modeling from 3D rotational angiography, in IEEE Int. Symp. Biomed. Imaging (Arlington, Virginia, 2004), pp. 944-947.
32. C. Mimata, M. Kitaoka, S. Nagashiro, K. Fyama, H. Hori, H. Yoshioka and Ushio, Differential distribution and expression of collagens in the cerebral aneurysmal wall. ACTA Neuropath. 94 (1997) 197-206.
33. P. Gaetani, F. Tartara, F. Tancioni, R. Rodriguez, Y. Baena, E. Casari, M. Alfano and V. Graziolo, Deficiency of total collagen content and of deoxypuridinoline in intracranial aneurysm walls. FEBS Lett. 404 (1997) 303-306.
34. H. M. Finlay, L. McCullough and P. B. Canham, Three-dimensional collagen organization of human brain arteries at different transmural pressures. J. Vasc. Res. 32 (1995) 301-312.
35. F. X. Schmid, K. Bielenberg, A. Schneider, A. Haussler, A. Keyser and D. Birnbaum, Ascending aortic aneurysm associated with bicuspid and tricuspid aortic valve:involvement and clinical relevance of smooth muscle cell apoptosis and expression of cell death- initiating proteins. Eur. J. Cardio-Thoracic Surg. 23(4) (2003) 537-543.
36. S. Kondo, N. Hashimoto and H. Kikuchi, Apoptosis of medial smooth muscle cells in the development of saccular cerebral aneurysms in rats. Stroke 29 (1998) 181-189.
37. T. Sakaki, E. Kohumura, T. Kishiguchi, T. Yuguch, T. Yamashita and T. Hayakawa, Loss and apoptosis of smooth muscle cells in intracranial aneurysms. Studies with in situ DNA end labeling and antibody against single-stranded DNA. ACTA Neurochir. 139 (1997) 469-474.
38. R. W. Thomson, S. Liao and J. A. Curc, Vascular smooth muscle cell apoptosis in abdominal aortic aneurysms. Coron. Artery Dis. 8 (1997) 623-631.
39. H. Nakatani, N. Hashimoto and Kang, Cerebral blood flow patterns at major vessel bifurcations and aneurysms in rats. J. Neurosurg. 74 (1991) 258-262.
40. C. F. Gonzalez, Y. I. Choi and V. Ortega, Intracranial aneurysms: flow analysis of their origin and progression. AJNR Am. J. Neuroradiol. 13 (1992) 181-188.
41. A. C. Burleson, C. M. Strother and V. T. Turitto, Computer modeling of intracranial saccular and lateral aneurysms for the study of their hemodynamics. Neurosurg. 37 (1995) 774-784.
42. H. Tenjin, F. Asakura and Y. Nakahara, Evaluation of intraaneurysmal blood velocity by time-density curve analysis and digital subtraction angiography. AJNR Am. J. Neuroradiol. 19 (1998) 1303-1307.
43. H. Ujiie, H. Tachibana and O. Hiramtsu, Effects of size and shape (aspect ratio) on the hemodynamics of saccular aneurysms: a possible index for the surgical treatment of intracranial aneurysms. Neurosurg. 45 (1999) 119-130.
44. S. Tateshima, Y. Murayama and J. P. Villablanca, Intraaneurysmal flow dynamics study featuring an acrylic aneurysm model manufactured using computerized tomography angiogram as a mold. J. Neurosurg. 95(6) (2001) 1020-1027.
45. T. Satoh, K. Onoda and S. Tsuchimoto, Visualization of intraaneurysmal flow patterns with transluminal flow images of 3D MR angiograms in conjunction with aneurysmal configurations. AJNR Am. J. Neuroradiol. 24 (2003) 1436-1445.
46. T. M. Liou and S. N. Liou. A review of In vitro studies of hemodynamic characteristics in terminal and lateral aneurysm models, in National Scientific Council ROC(B). Vol. 23(4) (1999), pp. 133-148.
47. S. Tateshima, Y. Murayama, J. P. Villablanca, T. Morino, K. Nomura, K. Tanishita and F. Vinuela, In vitro measurement of fluid-induced wall shear stress in unruptured cerebral aneurysms harboring blebs. Stroke 34(1) (2003) 187-192.
48. S. Tateshima, F. Vinuela, J. P. Villablanca, Y. Murayama, T. Morino, K. Nomura and K. Tanishita, Three-dimensional blood flow analysis in a wide-necked internal carotid artery-ophthalmic artery aneurysm. J. Neurosurg. 99(3) (2003) 526-533.
49. M. P. Arroyo and C. A. Greated, Stereoscopic particle image velocimetry. Measure. Sci. Techno. 2 (1991) 1181-1186.
50. P. J. Yim, J. R. Cebral, A. Weaver, R. J. Lutz, O. Soto, G. Boudewijn, B. Vasbinder, V. H. Ho and P. L. Choyke, Estimation of the differential pressure at renal artery stenoses. Magn. Reson. Med. 51 (2004) 969-977.
51. P. J. Yim, J. R. Cebral, Y. Zhang, R. J. Lutz and P. L. Choyke, Evaluation of magnetic resonance angiography for measuring arterial wall shear stress. Ann. Biomed. Eng. 28 (2000) S-59.
52. S. Tateshima, J. Grinstead, S. Sinha, Y. Nien, Y. Murayama, J. P. Villablanca, K. Tanishita and F. Vinuela, Intra-aneurysmal flow visualization by phase contrast magnetic resonance imaging: feasibility In vitro study using a geometrically-realistic aneurysm model. J. Neurosurg. 100 (2004) 1041-1048.
53. T. Hassan, M. Ezura, E. V. Timofeev, T. Tominaga, T. Saito, A. Takahashi, K. Takayama and T. Yoshimoto, Computational simulation of therapeutic parent artery occlusion to treat giant vertebrobasilar aneurysm. AJNR Am. J. Neuroradiol. 25(1) (2004) 63-68.
54. J. R. Cebral, M. A. Castro, O. Soto, R. Löhner and N. Alperin, Blood flow models of the circle of Willis from magnetic resonance data. J. Eng. Math. 47(3-4) (2003) 369-386.
55. J. R. Cebral, M. A. Castro, J. E. Burgess, R. Pergolizzi, M. J. Sheridan and C. M. Putman, Characterization of cerebral aneurysm for assessing risk of rupture using patient-specific computational hemodynamics models. AJNR Am. J. Neuroradiol. 26 (2005) 2550-2559.
56. C. A. Taylor and M. T. Draney, Computational techniques in therapeutic decisionmaking. Comput. Assisted Surg. 4 (1999) 231-247.
57. J. R. Cebral and R. Löhner, Efficient simulation of blood flow past complex endovascular devices using an adaptive embedding technique. IEEE Trans. Med. Imaging 24(4) (2005) 468-477.
58. J. R. Cebral, M. A. Castro, S. Appanaboyina, C. M. Putman, D. Millan and A. F. Frangi, Efficient pipeline for image-based patient-specific analysis of cerebral aneurysm hemodynamics: Technique and sensitivity. IEEE Trans. Med. Imaging 24(1) (2005) 457-467.
59. J. R. Cebral and R. Löhner, From medical images to anatomically accurate finite element grids. Int. J. Num. Methods Eng. 51 (2001) 985-1008.
60. J. Beutel and M. Sonka, Handbook of medical imaging, Volume 2: Medical image processing and analysis (SPIE Press monograph vol. PM80, 2000).
61. J. Weickert, Anisotropic diffusion in image processing. ECMI Series (Stutgart, Germany, Teubner-Verlag, 1998).
62. A. F. Frangi, Multiscale vessel enhancement filtering. Lect. Notes Comput. Sci. 1496 (1998) 130-137.
63. J. A. Sethian, Level set methods and fast marching methods: evolving interfaces in computational geometry, fluid mechanics, computer vision and materials sciences. Vol. 3 (Cambridge monographs on applied and computational mathematics, Cambridge University Press, 1998).
64. Y. Chen, S. Thiruenkadam, H. Tagare, F. Huang, D. Wilson and E. Geiser, On the incorporation of shape priors into geometric active contours, in IEEE Workshop on Variational and Level Set Methods. (2001) pp. 145-152.
65. M. Hernandez and A. F. Frangi, Non-parametric geodesic active regions: method and evaluation for cerebral aneurysms segmentation in 3DRA and CTA. Med. Image Anal. 11(3) (2006) 224-241.
66. P. J. Yim, G. Boudewijn, B. Vasbinder, V. B. Ho and P. L. Choyke, Isosurfaces as deformable models for magnetic resonance angiography. IEEE Trans. Med. Imaging 22(7) (2003) 875-881.
67. P. J. Yim, J. R. Cebral, R. Mullick and P. L. Choyke, Vessel surface reconstruction with a tubular deformable model. IEEE Trans. Med. Imaging 20(12) (2001) 1411-1421.
68. P. J. Yim, B. Vasbinder, V. H. Ho and P. L. Choyke. A Deformable isosurface and vascular applications. in SPIE Med. Imaging, Vol. 4684 (San Diego, California, 2002), pp. 1390-1397.
69. P. J. Yim, K. DeMarco, M. A. Castro and J. R. Cebral, Characterization of shear stress on the wall of carotid artery using magnetic resonance imaging and computational fluid dynamics. Studies Health Technol. Informat. 113 (2005) 412-442.
70. J. R. Cebral, C. M. Putman, R. Pergolizzi, J. E. Burgess and P. J. Yim, Multimodality image-based models of carotid artery hemodynamics. in SPIE Med. Imaging. Vol. 5369 (San Diego, California, 2004), pp. 529-538.
71. J. R. Cebral, M. A. Castro, D. Millan, A. F. Frangi and C. M. Putman, Pilot clinical investigation of aneurysm rupture using image-based computational fluid dynamics models. in SPIE Med. Imaging, Vol. 5746 (San Diego, CA, 2005), pp. 245-256.
72. J. R. Cebral, R. Löhner, P. L. Choyke and P. J. Yim, Merging of intersecting triangulations for finite element modeling. J. Biomech. 34 (2001) 815-819.
73. M. A. Castro, C. M. Putman and J. R. Cebral, Patient-specific computational modeling of cerebral aneurysms with multiple avenues of flow from 3D rotational angiography images. Acad. Radiol. 13(7) (2006) 811-821.
74. G. Taubin, A signal processing approach to fair surface design, in Computer Graphics. (1995) pp. 351-358.
75. R. Löhner, Regridding surface triangulations. J. Comput. Phys. 126 (1996) 1-10.
76. R. Löhner, Automatic unstructured grid generators. Finite Elem. Analy. Design 25 (1997) 111-134.
77. S. J. Owen, A survey of unstructured mesh generation technology. in 7th International Meshing Roundtable (Sandia National Laboratory, 1998), pp. 239-267.
78. R. Löhner, Applied CFD Techniques (John Wiley & Sons, 2001).
79. R. Löhner, Extensions and improvements of the advancing front grid generation technique. Comput. Methods Appl. Mech. Eng. 5 (1996) 119-132.
80. J. Mazumdar, Biofluid Mechanics (Singapore: World Scientific, 1992).
81. R. Löhner, C. Yang, E. Oñate and S. Idelssohn, An unstructured grid-based, parallel free surface solver. Appl. Num. Math. 31 (1999) 271-293.
82. M. D. Gunzburger,Mathematical aspects of finite element methods for incompressible viscous flows, in Finite Elements: Theory and Application, H. A. V. Dwoyer, ed., (Springer-Verlag, 1987), pp. 124-150.
83. M. Fortin and F. Thomasset, Mixed finite element methods for incompressible flow problems. J. Comput. Phys. 31 (1979) 113-145.
84. A. Soulaimani, M. Fortin, Y. Ouellet, G. Dhatt and F. Bertrand, Simple continuous pressure elements for two- and three-dimensional incompressible flows. Comp. Methods Appl. Mech. Eng. 62 (1987) 47-69.
85. F. Thomasset, Implementation of Finite Element Methods for Navier-Stokes Equations (Springer-Verlag, 1981).
86. C. Taylor and P. Hood, A numerical solution of the Navier-Stokes equations using the finite element method. Comp. Fluids 1 (1973) 73-100.
87. R. Löhner, A fast finite element solver for incompressible flows. Vol. AIAA-90-0398 (Reno, Nevada, 1990).
88. L. P. Franca, T. J. R. Hughes, A. F. D. Loula and I. Miranda. A new family of stable elements for the Stokes problem based on mixed Galerkin/least-squares finite element formulation, in 7th Int. Conf. Finite Elements Flow Problems. (Huntsville, Alabama, 1989).
89. T. E. Tezduyar, R. Shih, S. Mittal and S. E. Ray, Incompressible flow computations with stabilized bilinear and linear equal-order interpolation velocity-pressure elements, Report UMSI 90 (1990).
90. L. P. Franca and S. L. Frey, Stabilized finite element methods: II. The incompressible Navier-Stokes equations. Comp. Methods Appl. Mech. Eng. 99 (1992) 209-233.
91. A. J. Chorin, Numerical solution of the Navier-Stokes equations. Math. Comp. 22 (1968) 745-762.
92. J. Kim and P. Moin, Application of a fractional-step method to incompressible Navier-Stokes equations. J. Comput. Phys. 59 (1985) 308-323.
93. T. Hino, Computation of free surface flow areound an advancing ship by the Navier-Stokes equations, in 5th Int. on Conf. Numerical Ship Hydrodynamics (Hiroshima, Japan, 1989).
94. P. M. Gresho, C. D. Upson, S. T. Chan and R. L. Lee, Recent progress in the solution of the time-dependent, three-dimensional, incompressible Navier-Stokes equations, in 4th Int. Symp. Finite Element Methods Flow Problems (Tokio, Japan, 1982).
95. J. Donea, S. Giuliani, H. Laval and L. Quartapelle, Solution of the unsteady Navier-Stokes equations by a fractional step method. Comp. Methods Appl. Mech. Eng. 30 (1982) 53-73.
96. J. D. Huffenus and D. Khaletzky, A finite element method to solve the Navier-Stokes equations using the method of characteristics. Int. J. Num. Methods Eng. 4 (1984) 247-269.
97. T. C. Jue, B. Ramaswamy and J. E. Akin, Finite element simulation of 2D Bernard convection with gravity modulation. FED 123 (1991).
98. A. T. Patera, A spectral element method for fluid dynamics: laminar flow in a channel expansion. J. Comput. Phys. 54 (1984) 468-488.
99. P. Wesseling, Principles of Computational Fluid Dynamics (Springer, 2001).
100. D. Martin and R. Löhner, An Implicit Linelet-Based Solver for Incompressible Flows. Vol. AIAA-92-0668, (Reno, Nevada, 1992).
101. R. Ramamurti, W. C. Sandberg and R. Löhner, Simulation of flow about flapping airfoils using a finite element incompressible flow solver. AIAA J. 39(2) (2001) 253-260.
102. R. Codina, Pressure stability in fractional step finite element methods for incompressible flows. J. Comput. Phys. 170 (2001) 112-140.
103. Y. Saad, Iterative Methods for Sparse Linear Systems (Boston, Massachusetts, PWS Pub. Co., 1996).
104. O. Soto, R. Löhner and F. Camelli, A linelet preconditioner for incompressible flow solvers. Int. J. Heat Fluid Flow 13(1) (2003) 133-147.
105. J. Waltz and R. Löhner, A Grid Coarsening Algorithm for Unstructured Multigrid Applications, Vol. AIAA-00-0925 (Reno, Nevada, 2000).
106. J. Alonso, L. Martinelli and A. Jameson. Multigrid Unsteady Navier-Stokes Calculations with Aeroelastic Applications, Vol. AIAA-95-0048 (Reno, Nevada, 1995).
107. O. Soto, R. Löhner, J. R. Cebral and R. Codina, A time-accurate implicit monolithic finite element scheme for incompressible flow problems, in ECCOMAS CFD, (Swansea, Wales, U. K., 2001).
108. H. Luo, J. D. Baum and R. Löhner, A fast matrix-free implicit method for compressible flows on unstructured grids. J. Comput. Phys. 146 (1998) 664-690.
109. D. Sharov, H. Luo, J. D. Baum and R. Löhner, Implementation of unstructured grid GMRES+LU-SGS method on shared-memory, cache-based parallel computers, in AIAA Aerospace Science Meeting. Vol. AIAA-00-0927 (Reno, Nevada, 2000).
110. P. Neofitou and D. Drikakis, Non-Newtonian modeling effects on stenotic channel flows, in ECCOMAS CFD (Swansea, Wales, U.K., 2001).
111. K. Perktold and G. Rappitsch, Computer simulation of arterial blood flow. vessel diseases under the aspect of local hemodynamics. Biological Flows (Plenum Press, 1995), pp. 83-114.
112. J. R. Womersley, Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known. J. Physiol. 127 (1955) 553-563.
113. C. A. Taylor, T. J. R. Hughes and C. K. Zarins, Finite element modeling of blood flow in arteries. Comput. Methods Appl. Mech. Eng. 158 (1998) 155-196.
114. I. E. Vignon-Clementel, A. C. Figueroa, K. E. Jansen and C. A. Taylor, Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries. Comput. Methods Appl. Mech. Eng. 195 (2006) 3776-3796.
115. M. S. Olufsen, C. S. Peskin, W. Y. Kim, E. M. Pedersen, A. Nadim and J. Larsen, Numerical simulation and experimental validation of blood flow in arteries with structured-tree outflow conditions. Ann. Biomed. Eng. 28 (2000) 1281-1299.
116. L. Formaggia, F. Nobile, A. Quarteroni and A. Veneziani, Multiscale modeling of the circulatory system: a preliminary analysis. Report EPFL/DMA 6. 99, Visualization in Science, (1999).
117. J. R. Cebral, P. J. Yim, R. Löhner, O. Soto and P. L. Choyke, Blood flow modeling in carotid arteries using computational fluid dynamics and magnetic resonance imaging. Acad. Radiol. 9 (2002) 1286-1299.
118. S. Z. Zhao, X. Y. Xu, A. D. Hughes, S. A. Thom, A. V. Stanton, B. Ariff and Q. Long, Blood flow and vessel mechanics in a physiologically realistic model of a human carotid arterial bifurcation. J. Biomech. 33 (2000) 975-984.
119. L. Dempere-Marco, E. Oubel, M. A. Castro, C. M. Putman, A. F. Frangi and J. R. Cebral, Estimation of wall motion in intracranial aneurysms and its effects on hemodynamic patterns. in Medical Image Computing and Computer Assisted Intervention (MICCAI) (Copenhagen, Denmark, 2006).
120. L. Dempere-Marco, E. Oubel, A. F. Frangi, C. M. Putman, M. A. Castro and J. R. Cebral,Wall motion and hemodynamics of intracranial aneurysms. inWorld Congress on Biomechanics (Munich, Germany, 2006).
121. A. S. Anayiotos, S. A. Jones, D. P. Giddens, S. Glasgov and C. K. Zarins, Shear stress in a compliant model of the human carotid bifurcation. J. Biomech. Eng. 116 (1994) 98-106.
122. M. Shojima, M. Oshima, K. Takagi, R. Torii, M. Hayakawa, K. Katada, A. Morita and T. Kirino, Magnitude and role of wall shear stress on cerebral aneurysm:computational fluid dynamic study of 20 middle cerebral artery aneurysms. Stroke 35(11) (2004) 2500-2505.
123. C. A. Taylor and M. T. Draney, Experimental and Computational Methods in Cardiovascular fluid Mechanics. Ann. Rev. Fluid Mechan. 36 (2004) 197-231.
124. J. R. Cebral, R. Löhner, O. Soto, P. L. Choyke and P. J. Yim, Image-based finite element modeling of hemodynamics in stenosed carotid artery. in SPIE Med. Imaging, Vol. 4683 (San Diego, California, 2002), pp. 297-304.
125. R. Löhner, Robust, vectorized search algorithms for interpolation on unstructured grids. J. Comput. Phys. 118 (1995) 380-387.
126. F. Calamante, P. J. Yim and J. R. Cebral, Estimation of bolus dispersion effects in perfusion MRI using image-based computational fluid dynamics. NeuroImage 19 (2003) 342-352.
127. M. D. Ford, G. R. Stuhne, H. N. Nikolov, D. F. Habets, S. P. Lownie, D. W. Holdsworth and D. A. Steinman, Virtual angiography for visualization and validation of computational models of aneurysm hemodynamics. IEEE Trans. Med. Imaging 24(12) (2005) 1586-1592.
128. V. Interrante and C. Grosch, Strategies for effectively visualizing 3D flow with volume LIC, in Visualization’97, (1997) pp. 421-424.
129. V. Interrante and C. Grosch, Visualizing 3D flow. IEEE Comput. Graph. Appl. 18(4) (1998) 49-53.
130. L. Chen, I. Fujishiro and Y. Suzuki, Comprehensible volume LIC rendering based on 3D significance map, Report GeoFEM. 2001-012, Research Organization for Information Science and Technology (Tokyo, Japan, 2001), (http://geofem. tokyo. rist. or. jp/report common/GeoFEM01 012. pdf)
131. R. B. Pember, J. B. Bell, P. Colella, W. Y. Crutchfield and M. L. Welcome, An adaptive Cartesian method for unsteady compressible flow in irregular regions. J. Comput. Phys. 120 (1995) 278.
132. A. M. Landsberg and J. P. Boris, The Virtual Cell Embedding Method: A Simple Approach for Gridding Complex Geometries, Vol. AIAA-97-1982 (Reno, Nevada, 1997).
133. M. J. Aftosmis, M. J. Berger and G. Adomavicius, A Parallel Multilevel Method for Adaptively Refined Cartesian Grids with Embedded Boundaries, Vol. AIAA-00-0808 (Reno, Nevada, 2000).
134. R. J. LeVeque and Z. Li, The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. SIAM J. Num. Anal. 31 (1994) 1019-1044.
135. C. S. Peskin, The immersed boundary method. Acta Numerica 11 (2002) 479-517.
136. J. D. Baum, E. Mestreau, H. Luo and R. Löhner, Modeling structural response to blast loading using a coupled CFD/CSD methodology, in Des. An. Prot. Struct. Impact/Impulsive/Shock Loads (DAPSIL) (Tokyo, Japan, 2003).
137. J. vande Voord, J. Vierendeels and E. Dick, Flow simulation in rotary volumetric pumps and compressors with the ficticiuous domain method. J. Comp. Appl. Math. 168 (2004) 491-499.
138. J. Mohd-Yusof, Development of immersed boundary methods for complex geometries, Report Center for Turbulence Research, Annual Research Briefs (1998).
139. B. K. Cook and R. P. Jensen, Dicrete element methods. ASCE (2002).
140. R. Löhner and E. Oñate, A general advancing front technique for filling space with arbitrary objects. Int. J. Num. Methods Eng. 61 (2004) 1977-1991.
141. B. Fornberg, A numerical study of steady viscous flow past a circular cylinder. J. Fluid Mech. 98 (1980) 819-855.
142. G. R. Stuhne and D. A. Steinman, Finite element modeling of the hemodynamics of stented aneurysms. J. Biomech. Eng. 126(3) (2004) 382-387.
143. J. R. Cebral and R. Löhner, Flow visualization on unstructured grids using geometrical cuts, vortex detection and shock surfaces, in AIAA Aerospace Sciences Meeting, Vol. AIAA-01-0915 (Reno, Nevada, 2001).