Efficient implementation of the proper outlet flow conditions in blood flow simulations through asymmetric arterial bifurcations

International Journal for Numerical Methods in Fluids

Volumn 66, Issue 11, 2011, Pages 1383-1408

  Johnson, David A ^a,b   Naik, Ulhas P ^a,b   Beris, Antony N ^a  

^a University of Delaware   (United States)

^b UNIVERSITY OF DELAWARE   (United States)

Author keywords

Arterial bifurcation; Blood flow; Flow simulation; Hybrid 1D 3D model; Outlet conditions; Stenosis

Indexed keywords

ARTERIAL BIFURCATIONS; BLOOD FLOW; HYBRID 1D/3D MODEL; OUTLET CONDITIONS; STENOSIS;

BIFURCATION (MATHEMATICS); BLOOD; CONVERGENCE OF NUMERICAL METHODS; FLOW SIMULATION; HEMODYNAMICS; SHEAR FLOW; THREE DIMENSIONAL COMPUTER GRAPHICS;

THREE DIMENSIONAL;

EID: 79960018175     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.2319     Document Type: Article

References (71)

1. Ku DN, Giddens DP, Zarins CK, Glagov S. Pulsatile flow and atherosclerosis in the human carotid bifurcation-positive correlation between plaque location and low oscillating shear stress. Arteriosclerosis 1985; 5:293-302.
2. Ku DN. Blood flow in arteries. Annual Review of Biomedical Engineering 1997; 29:399-434.
3. Malek AM, Alper SL, Izumo S. Hemodynamic shear stress and its role in arteriosclerosis. Journal of the American Medical Association 1999; 282:2035-2042.
4. Younis HF, Kaazempur-Mofrad MR, Chan RC, Isasi AG, Hinton DP, Chan AH, Kim LA, Kamm RD. Hemodynamics and wall mechanisms in human carotid artery bifurcation and its consequences for atherogenesis: investigation of inter-individual variation. Biomechanics and Modeling in Mechanobiology 2004; 3(1):17-32.
5. Wooten DM, Ku DN. Fluid mechanics of vascular systems, diseases and thrombosis. Annual Review of Biomedical Engineering 1999; 1:299-329.
6. Nemerson Y, Turrito VT. The effect of flow on hemostasis and thrombosis. Thrombosis and Haemostasis 1991; 66:272-276.
7. Levesque MJ, Liepsch D, Moravec S, Nerem RM. Correlation of endothelial cell shape and wall shear stress in a stenosed dog aorta. Arteriosclerosis, Thrombosis, and Vascular Biology 1986; 6:220-229.
8. Walpola PL, Gotlieb AI, Cybulsky MI, Langille BL. Expression of ICAM-1 and VCAM-1 and monocyte adherence in arteries exposed to altered shear stress. Arteriosclerosis, Thrombosis, and Vascular Biology 1995; 15:2-10.
9. IIb cytoplasmic domain. Journal of Biological Chemistry 1997; 272:4651-4654.
10. Naik MU, Vuppalanchi D, Naik UP. Essential role of junctional adhesion molecule-1 in basic fibroblast growth factor-induced endothelial cell migration. Arteriosclerosis, Thrombosis, and Vascular Biology 2003; 23:2165-2171.
11. Rindt CCM, van Steehoven AA. Unsteady flow in a rigid 3-D model of the carotid artery bifurcation. Journal of Biomechanical Engineering 1996; 118:149-159.
12. Gijsen FJH, van de Vosse FN, Janssen JD. The influence of the non-Newtonian properties of blood on the flow in large arteries: steady flow in a carotid artery bifurcation model. Journal of Biomechanics 1999; 32:601-608.
13. Steinman DA, Thomas JB, Ladak HM, Milner JS, Rutt BK, Spence JD. Reconstruction of carotid bifurcation hemodynamics and wall thickness using computational fluid dynamics and MRI. Magnetic Resonance in Medicine 2002; 47:149-159.
14. Kato M, Dote K, Habara S, Takemoto H, Goto K, Nakanoka K. Clinical implications of carotid artery remodeling in acute coronary syndrome. Ultrasonographic assessment of positive remodeling. Journal of the American College of Cardiology 2003; 42:1026-1032.
15. Nguyen KT, Clark CD, Chancellor TJ, Papavassiliou DV. Carotid geometry effects on blood flow and on risk for vascular disease. Journal of Biomechanics 2008; 41:11-19.
16. Gay M, Zhang L. Numerical studies of blood flow in healthy, stenosed, and stented carotid arteries. International Journal for Numerical Methods in Fluids 2009; 61:453-472.
17. Valencia A, Zarate A, Galvez M, Badilla L. Non-Newtonian blood flow dynamics in a right internal carotid artery with a saccular aneurism. International Journal for Numerical Methods in Fluids 2006; 50:751-764.
18. Hutchins GM, Miner MM, Boitnott JK. Vessel caliber and branch-angle of human coronary artery branch-points. Circulation Research 1976; 38:572-576.
19. Nissen SE, Gurley JC, Grines CL, Booth DC, McClure R, Berk M, Fischer C, DeMaria AN. Intravascular ultrasound assessment of lumen size and wall morphology in normal subjects and patients with coronary artery disease. Circulation 1991; 84:1087-1099.
20. Brinkman AM, Baker PB, Newman WP, Vigorito R, Friedman MH. Variability of human coronary artery geometry: an angiographic study of the left anterior descending arteries of 30 autopsy hearts. Annals of Biomedical Engineering 1994; 22:34-44.
21. Friedman MH, Baker PB, Ding Z, Kuban BD. Relationship between the geometry and qualitative morphology of the left anterior descending coronary artery. Arteriosclerosis 1996; 125:183-192.
22. Perktold K, Hofer M, Rappitsch G, Loew M, Kuban BD, Friedman MH. Validated computation of physiologic flow in a realistic coronary artery branch. Journal of Biomechanics 1998; 31:217-228.
23. Changizi MA, Cherniak C. Modeling the large-scale geometry of human coronary arteries. Canadian Journal of Physiology and Pharmacology 2000; 78:603-611.
24. Seron FJ, Garcia E, del Pico J. MOTRICO project-geometric construction and mesh generation of blood vessels by means of the fusion of angiograms and IVUS. IbPRIA, Puerto de Andratx, Mallorca, Spain, 2003; 951-961.
25. Blacker TD, Stephenson MB, Canann SA. Analysis automation with paving: a new quadrilateral meshing technique. Advances in Engineering Software Works 1991; 13:332-337.
26. Cass RJ, Benzley SE, Meyers RJ, Blacker TD. Generalized 3-D paving: an automated quadrilateral surface mesh generation algorithm. International Journal for Numerical Methods in Engineering 1996; 39:1475-1489.
27. Taylor CA, Hughes TJR, Zarins CK. Finite element modeling of three-dimensional pulsatile flow in the abdominal aorta: relevance to atherosclerosis. Annals of Biomedical Engineering 1998; 26:975-987.
28. Formaggia L, Quarteroni A, Veneziani A (eds). Cardiovascular Mechanics; Volume 1. Modeling and Simulation of the Circulatory System. Springer: Italia, Milano, 2009.
29. Gerbeau J-F, Vidrascu M, Frey P. Fluid-structure interaction in blood flows on geometries coming from medical imaging. Computers and Structures 2005; 83:155-165.
30. Fernández MA, Gerbeau J-F, Grandmont C. A projection semi-implicit scheme for the coupling of an elastic structure with an incompressible fluid. International Journal of Numerical Methods in Engineering 2007; 69:794-821.
31. Sherwin SJ, Formaggia L, Peiro J, Franke V. Computational modeling of 1D blood flow with variable mechanical properties and its application to the simulation of wave propagation in the human arterial system. International Journal of Numerical Methods in Fluids 2003; 43:673-700.
32. Formaggia L, Lamponi D, Quarteroni A. One dimensional models for blood flow in arteries. Journal of Engineering Mathematics 2003; 47:251-276.
33. Formaggia L, Gerbeau J-F, Nobile F, Quarteroni A. On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels. Computational Methods on Applied Mechanics and Engineering 2001; 191:561-582.
34. Quarteroni A, Veneziani A. Analysis of a geometric multiscale model based on the coupling of ODEs and PDEs for blood flow simulations. Multiscale Modeling and Simulation 2003; 1:173-195.
35. Passerini T, de Luca M, Formaggia L, Quarteroni A, Veneziani A. A 3D/1D geometrical multiscale model of cerebral vasculature. Journal of Engineering Mathematics 2009; 64:319-330.
36. Alastruey J, Parker KH, Peiró J, Byrd SM, Sherwin SJ. Modeling the circle of Willis to assess the effects of anatomical variations and occlusions on cerebral flows. Journal of Biomechanics 2007; 40:1794-1805.
37. Alastruey J, Moore SM, Parker KH, David T, Peiró J, Sherwin SJ. Reduced modeling of blood flow in the cerebral circulation: coupling 1-D, 0-D and cerebral autoregulation models. International Journal for Numerical Methods in Fluids 2008; 56:1061-1067.
38. Ramaswamy SD, Vigmostad SC, Wahle A, Lai Y-G, Olszewski ME, Braddy KC, Brennan TMH, Rossen JD, Sonka M, Chandran KB. Fluid dynamic analysis in a human left anterior descending coronary artery with arterial motion. Annals of Biomedical Engineering 2004; 32(12):1628-1641.
39. Taylor CA, Draney MT. Experimental and computational methods in cardiovascular fluid mechanics. Annual Review of Fluid Mechanics 2004; 36:197-231.
40. Milner JS, Moore JA, Rutt BK, Steinman DA. Hemodynamics of human carotid artery bifurcations: computational studies with models reconstructed from magnetic resonance imaging of normal subjects. Journal of Vascular Surgery 1998; 27:143-156.
41. Xu XY, Long Q, Collins MW, Bourne M, Griffith TM. Reconstruction of blood flow patterns in human arteries. Proceedings Institution of Mechanical Engineers 1999; 213(Part H):411-421.
42. Frauenfelder T, Boutsianis E, Schertler T, Husmann L, Leschka S, Poulikakos D, Marincek B, Alkadhi H. In-vivo flow simulation in coronary arteries based on computed tomography datasets:feasibility and initial results. European Radiology 2007; 17:1291-1300.
43. Boutsianis E, Gupta S, Boomsma K, Poulikakos D. Boundary conditions by Schwarz-Christoffel mapping in anatomically accurate hemodynamics. Annals of Biomedical Engineering 2008; 36(12):2068-2084.
44. Torii R, Wood NB, Hadjiloizou N, Dowsey AW, Wright AR, Hughes AD, Davies J, Francis DP, Mayet J, Yang G-Z, Thom SA McG, Xu XY. Fluid-structure interaction analysis of a patient-specific right coronary artery with physiological velocity and pressure waveforms. Communications in Numerical Methods in Engineering 2009; 25:565-580.
45. Wake AK, Oshinski JN, Tannenbaum AR, Giddens DP. Choice of in vivo versus idealized velocity boundary conditions influences physiologically relevant flow patterns in a subject-specific simulation of flow in the human carotid bifurcation. Journal of Biomechanical Engineering 2009; 131(2):021013-1-021013-8.
46. Olufsen MS. Structured tree outflow condition for blood flow in larger systemic arteries. AJP Heart and Circulatory Physiology 1999; 276:257-268.
47. Pontrelli G, Rossoni E. Numerical modelling of the pressure wave propagation in the arterial flow. International Journal for Numerical Methods in Fluids 2003; 43:651-671.
48. Grinberg L, Karniadakis GEM. Outflow boundary conditions for arterial networks with multiple outlets. Annals of Biomedical Engineering 2008; 36(9):1496-1514.
49. Raymond P, Merenda F, Perren F, Rufenacht D, Stergiopulos N. Validation of a one-dimensional model of the systemic arterial tree. AJP Heart and Circulatory Physiology 2009; 297:208-222.
50. Spilker RL, Feinstein JA, Parker DW, Reddy VM, Taylor CA. Morphometry-based impedance boundary conditions for patient-specific modeling of blood flow in pulmonary arteries. Annals of Biomedical Engineering 2007; 35(5):546-559.
51. Clipp RB, Steele BN. Impedance boundary conditions for the pulmonary vasculature including the effects of geometry, compliance, and respiration. IEEE Transactions On Biomedical Engineering 2009; 56(3):862-870.
52. Johnson DA. Investigating the effects of fluid dynamics and shear stress in blood flow through major arteries: understanding cardiovascular disease risk and development. Ph.D. Thesis, University of Delaware, Newark, DE, 2010.
53. West GB. The origin of scaling laws in biology. Physica A 1999; 263:104-113.
54. Womersley JR. Oscillatory motion of a viscous liquid in a thin-walled elastic tube-I: the linear approximation for long waves. Philosophical Magazine 1955; 46:199-221.
55. Remington JW, Wood EH. Formation of peripheral pulse contour in man. Journal of Applied Physiology 1956; 9:433-442.
56. Basilevs Y, Calo VM, Hughes TJR, Zhang Y. Isogeometric fluid-structure interaction: theory, algorithms and computations. Computational Mechanics 2008; 43:3-37.
57. Tezduyar TE, Sathe S, Schwaab M, Conklin BS. Arterial fluid mechanics modeling with the stabilized space-time fluid-structure interaction technique. International Journal for Numerical Methods in Fluids 2008; 57:601-629.
58. Turitto VT. Blood viscosity, mass transport, and thrombogenesis. Progress in Hemostasis and Thrombosis 1982; 6:139-177.
59. Perktold K, Hilbert D. Numerical simulation of pulsatile flow in a carotid artery bifurcation model. Journal of Biomedical Engineering 1986; 8:193-199.
60. Papathanasopoulou P, Zhao S, Kohler U, Robertson MB, Long Q, Hoskins P, Xu XY, Marshall I. MRI measurements of time-resolved wall shear stress vectors in a carotid bifurcation model, and comparison with CFD predictions. Journal of Magnetic Resonance Imaging 2003; 17:153-162.
61. Pries AR, Secomb TW, Gaehtgens P, Gross JF. Blood flow in microvascular networks. Experiments and Simulation Circulation Research 1990; 67:826-834.
62. Eloot S, de Wachter D, van Tricht I, Verdonck P. Computational flow modeling in hollow-fiber dialyzers. Artificial Organs 2002; 27:590-599.
63. Glagov S, Zarins C, Giddens DP, Ku DN. Hemodynamics and atherosclerosis: insights and perspectives gained from studies of human arteries. Archives of Pathology and Laboratory Medicine 1988; 112:1018-1031.
64. Goubergrits L, Kertzscher U, Schöneberg B, Wellnhofer E, Petz C, Hege H-C. CFD analysis in an anatomically realistic coronary artery model based on non-invasive 3D imaging: comparison of magnetic resonance imaging with computed tomography. International Journal of Cardiovascular Imaging 2008; 24:411-421.
65. Truskey GA, Yuan F, Katz DF. Transport Phenomena in Biological Systems. Prentice Hall: Englewood Cliffs, NJ, 2004.
66. Olufsen MS. Modeling flow and pressure in the systemic arteries. In Applied Mathematical Models in Human Physiology, Ottesen JT, Olufsen MS, Larsen JK (eds). SIAM: Philadelphia, 2004.
67. Bird RB, Stewart WE, Lightfoot EN. Transport Phenomena (2nd edn). Wiley: New York, 1987.
68. Spaeth JR. An input-parameter model for predicting blood flow and pressure in the human circulatory system. Batchelor Thesis, University of Delaware, Newark, DE, 2006.
69. Perry RH, Green DW. Perry's Chemical Engineers' Handbook (7th edn). McGraw-Hill: New York, 1997.
70. Zamir M. The Physics of Pulsatile Flow. AIP Press, Springer: New York, 2000.
71. Schlichting H. Boundary Layer Theory (7th edn). McGraw-Hill: New York, 1979.