Computational models to predict stenosis growth in carotid arteries: Which is the role of boundary conditions?

Computer Methods in Biomechanics and Biomedical Engineering

Volumn 12, Issue 1, 2009, Pages 113-123

  Balossino, R ^a   Pennati, G ^a   Migliavacca, F ^a   Formaggia, L ^a   Veneziani, A ^a   Tuveri, M ^b   Dubini, G ^a  

^a POLITECNICO DI MILANO   (Italy)

^b UNIVERSITY OF CAGLIARI   (Italy)

Author keywords

Boundary conditions; Carotid artery bifurcation; Haemodynamics; Multiscale models; Navier Stokes equations; Stenosis

Indexed keywords

ARTICLE; BIOLOGICAL MODEL; BLOOD FLOW VELOCITY; BLOOD PRESSURE; CAROTID ARTERY; CAROTID ARTERY OBSTRUCTION; COMPUTER SIMULATION; HUMAN; MECHANICAL STRESS; PATHOPHYSIOLOGY; SHEAR STRENGTH; YOUNG MODULUS;

BLOOD FLOW VELOCITY; BLOOD PRESSURE; CAROTID ARTERIES; CAROTID STENOSIS; COMPUTER SIMULATION; ELASTIC MODULUS; HUMANS; MODELS, CARDIOVASCULAR; SHEAR STRENGTH; STRESS, MECHANICAL;

EID: 63849106945     PISSN: 10255842     EISSN: 14768259     Source Type: Journal    
DOI: 10.1080/10255840802356691     Document Type: Article

References (59)

1. Abdoulaev G, Cadeddu S, Delussu G, Donzelli M, Formaggia L, Giochetti A, Gobbetti E, Leone A, Manzi C, Pili P, et al. 1998. ViVa: The virtual vascular project. IEEE Trans Inf Technol Biomed. 2(4):268-274.
2. Be'eri E, Maier SE, Landzberg MJ, Chung T, Geva T. 1998. In vivo evaluation of Fontan pathway flow dynamics by multidimensional phase-velocity magnetic resonance imaging. Circulation. 98(25):2873-2882.
3. Boyd J, Buick J, Cosgrove JA, Stansell P. 2005. Application of the lattice Boltzmann model to simulated stenosis growth in a two-dimensional carotid artery. Phys Med Biol. 50(20): 4783-4796.
4. Cassanova RA, Giddens DP. 1978. Disorder distal to modelled stenoses in steady and pulsatile flow. J Biomech. 11: 441-453.
5. Cebral JR, Yim PJ, Löhner R, Soto O, Choyke PL. 2002. Blood flow modeling in carotid arteries with computational fluid dynamics and MR imaging. Acad Radiol. 9(11):1286-1299.
6. Chen J, Lu XY. 2006. Numerical investigation of the non-Newtonian pulsatile blood flow in a bifurcation model with a non-planar branch. J Biomech. 39(5):818-832.
7. Chien K-Y. 1982. Predictions of channel and boundary-layer flows with a low-Reynolds-number turbulence model. AIAA J. 20(1):33-38.
8. Chobanian AV, Prescott MF, Haudenschild CC. 1984. Recent advances in molecular pathology. The effects of hypertension on the arterial wall. Exp Mol Pathol. 41(1):153-169.
9. Feldman CL, Stone PH. 2000. Intravascular hemodynamic factors responsible for progression of coronary atherosclerosis and development of vulnerable plaque. Curr Opin Cardiol. 15(6):430-440.
10. Fischer PF, Kruse GW, Loth F. 2002. Spectral element methods for transitional flows in complex geometries. J Sci Comput. 17:81-98.
11. Formaggia L, Gerbeau JF, Nobile F, Quarteroni A. 2002. Numerical treatment of defective boundary conditions for the Navier-Stokes equation. SIAM J Numer Anal. 40(1): 376-401.
12. Formaggia L, Veneziani A, Vergara C. 2008. A new approach to the numerical solution of defective boundary problems in incompressible fluid dynamics, SIAM J Numer Anal. 46: 2769-2794.
13. Heywood J, Rannacher R, Turek S. 1996. Artificial boundary and flux and pressure conditions for the incompressible Navier-Stokes equations. Int J Numer Methods Fluids. 22:325-352.
14. Hollander W. 1976. Role of hypertension in atherosclerosis and cardiovascular disease. Am J Cardiol. 38(6):786-800.
15. Kaazempur-Mofrad MR, Isasi AG, Younis HF, Chan RC, Hinton DP, Sukhova G, LaMuraglia GM, Lee RT, Kamm RD. 2004. Characterization of the atherosclerotic carotid bifurcation using MRI, finite element modeling, and histology. Ann Biomed Eng. 32:932-946.
16. Kim HB, Hertzberg J, Lanning C, Shandas R. 2004. Noninvasive measurement of steady and pulsating velocity profiles and shear rates in arteries using echo PIV: In vitro validation studies. Ann Biomed Eng. 32(8):1067-1076.
17. Kleinstreuer C, Hyun S, Buchanan JR, Longest PW, Archie JP, Truskey GA. 2001. Hemodynamic parameters and early intimal thickening in branching blood vessels. Crit Rev Biomed Eng. 29(1):1-64.
18. Kroon M, Holzapfel GA. 2007. A model for saccular cerebral aneurysm growth by collagen fibre remodelling. J Theor Biol. 247:775-787.
19. Laganà K, Dubini G, Migliavacca F, Pietrabissa R, Pennati G, Veneziani A, Quarteroni A. 2002. Multiscale modelling as a tool to prescribe realistic boundary conditions for the study of surgical procedures. Biorheology. 39:359-364.
20. Laganà K, Balossino R, Migliavacca F, Pennati G, Bove EL, de Leval MR, Dubini G. 2005. Multiscale modeling of the cardiovascular system: Application to the study of pulmonary and coronary perfusions in the univentricular circulation. J Biomech. 38:1129-1141.
21. Lee D, Chiu JJ. 1996. Intimal thickening under shear in a carotid bifurcation - a numerical study. J Biomech. 29(1):1-11.
22. Lee SW, Steinman DA. 2007. On the relative importance of rheology for image-based CFD models of the carotid bifurcation. J Biomech Eng. 129(2):273-278.
23. Long Q, Xu XY, Ariff B, Thom SA, Hughes AD, Stanton AV. 2000. Reconstruction of blood flow patterns in a human carotid bifurcation: A combined CFD and MRI study. J Magn Reson Imaging. 11:299-311.
24. Long Q, Merrifield R, Yang GZ, Kilner PJ, Firmin DN, Xu XY. 2003. The influence of inflow boundary conditions on intra left ventricle flow predictions. J Biomech Eng. 125(6): 922-927.
25. Marsden AL, Vignon-Clementel IE, Chan FP, Feinstein JA, Taylor CA. 2007. Effects of exercise and respiration on hemodynamic efficiency in CFD simulations of the total cavopulmonary connection. Ann Biomed Eng. 35(2):250-263.
26. Marshall I, Zhao S, Papathanasopoulou P, Hoskins P, Xu Y. 2004. MRI and CFD studies of pulsatile flow in healthy and stenosed carotid bifurcation models. J Biomech. 37(5): 679-687.
27. Marshall I, Papathanasopoulou P, Wartolowska K. 2004. Carotid flow rates and flow division at the bifurcation in healthy volunteers. Physiol Meas. 25(3):691-697.
28. Meng H, Wang Z, Hoi Y, Gao L, Metaxa E, Swartz DD, Kolega J. 2007. Complex hemodynamics at the apex of an arterial bifurcation induces vascular remodeling resembling cerebral aneurysm initiation. Stroke. 38(6):1924-1931.
29. Migliavacca F, Pennati G, Dubini G, Fumero R, Pietrabissa R, Urcelay G, Bove EL, Hsia TY, de Leval MR. 2001. Modeling of the Norwood circulation: Effects of shunt size, vascular resistances, and heart rate. Am J Physiol Heart Circ Physiol. 280:H2076-H2086.
30. Migliavacca F, Balossino R, Pennati G, Dubini G, Hsia T-Y, de Leval MR, Bove EL. 2006. Multiscale modelling in biofluidynamics: Application to reconstructive paediatric cardiac surgery. J Biomechanics. 39(6):1010-1102.
31. Milner JS, Moore JA, Rutt BK, Steinman DA. 1998. Hemodynamics of human carotid artery bifurcations: Computational studies with models reconstructed from magnetic resonance imaging of normal subjects. J Vasc Surg. 28(1):143-156.
32. Moayeri MS, Zendehbudi GR. 2003. Effects of elastic property of the wall on flow characteristics through arterial stenoses. J Biomech. 36(4):525-535.
33. Moura A, Vergara C. 2005. Flow rate boundary conditions and multiscale modeling of the circulatory system in compliant domains. WIT Trans Biomed Health. 8:351-362.
34. Nazemi M, Kleinstreuer C, Archie JP, Sorrell FY. 1989. Fluid flow and plaque formation in an aortic bifurcation. J Biomech Eng. 111(4):316-324.
35. Palmen DE, van de Vosse FN, Janssen JD, van Dongen ME. 1994. Analysis of the flow in stenosed carotid artery bifurcation models - hydrogen-bubble visualisation. J Biomech. 27(5):581-590.
36. Papathanasopoulou P, Zhao S, Kohler U, Robertson MB, Long Q, Hoskins P, Xu XY, Marshall I. 2003. MRI measurement of time-resolved wall shear stress vectors in a carotid bifurcation model, and comparison with CFD predictions. J Magn Reson Imaging. 17:153-162.
37. Patankar SV. 1980. Numerical heat transfer and fluid flow. Philadelphia: Taylor and Francis.
38. Perktold K, Rappitsch G. 1995. Computer simulation of local blood flow and vessel mechanics in a compliant carotid artery bifurcation model. J Biomech. 28:845-856.
39. Perktold K, Resch M, Peter RO. 1991. Three-dimensional numerical analysis of pulsatile flow and wall shear stress in the carotid artery bifurcation. J Biomech. 24:409-420.
40. Quarteroni A, Veneziani A. 2003. Analysis of a geometrical multiscale model based on the coupling of PDE's and ODE's for blood flow simulations. SIAM J MMS. 1:173-195.
41. Quarteroni A, Ragni S, Veneziani A. 2001. Coupling between lumped and distributed models for blood flow problems. Comput Visual Sci. 4(2):111-124.
42. Rideout VC. 1972. Cardiovascular system simulation in biomedical engineering education. IEEE Trans Biomed Eng. 19:101-117.
43. Shim EB, Kamm RD, Heldt T, Mark RG. 2000. Numerical analysis of blood flow through a stenosed artery using a coupled, multiscale simulation method. Comput Cardiol. 27: 219-222.
44. Soulis JV, Giannoglou GD, Chatzizisis YS, Farmakis TM, Giannakoulas GA, Parcharidis GE, Louridas GE. 2006. Spatial and phasic oscillation of non-Newtonian wall shear stress in human left coronary artery bifurcation: An insight to atherogenesis. Coron Artery Dis. 17(4):351-358.
45. Spencer MP, Reid JM. 1979. Quantitation of carotid stenosis with continuous-wave (C-W) Doppler ultrasound. Stroke. 10: 326-330.
46. Steinman DA. 2002. Image-based computational fluid dynamics modeling in realistic arterial geometries. Ann Biomed Eng. 30(4):483-497.
47. Steinman DA, Thomas JB, Ladak HM, Milner JS, Rutt BK, Spence JD. 2002. Reconstruction of carotid bifurcation hemodynamics and wall thickness using computational fluid dynamics and MRI. Magn Reson Med. 47:149-159.
48. Stroud JS, Berger SA, Saloner D. 2002. Numerical analysis of flow through a severely stenotic carotid artery bifurcation. ASME J Biomech Eng. 124:9-20.
49. Thomas JB, Milner JS, Steinman DA. 2002. On the influence of vessel planarity on local hemodynamics at the human carotid bifurcation. Biorheology. 39(3-4):443-448.
50. Thomas JB, Milner JS, Rutt BK, Steinman DA. 2003. Reproducibility of image-based computational fluid dynamics models of the human carotid bifurcation. Ann Biomed Eng. 31(2):132-141.
51. Tortoli P, Guidi G, Berti P, Guidi F, Righi D. 1997. An FFT-based flow profiler for high resolution in vivo investigations. Ultrasound Med Biol. 23(6):899-910.
52. Tsujino H, JonesM, Shiota T, Qin JX, Greenberg NL, Cardon LA. 2001. Real-time three-dimensional color Doppler echocardiography for characterizing the spatial velocity distribution and quantifying the peak flow rate in the left ventricular outflow tract. Ultrasound Med Biol. 27(1):69-74.
53. Valencia A, Morales H, Rivera R, Bravo E, Galvez M. 2008. Blood flow dynamics in patient-specific cerebral aneurysm models: The relationship between wall shear stress and aneurysm area index. Med Eng Phys. 30(3):329-340.
54. Veneziani A. 1998. Boundary conditions for blood flow problems. In: Rannacher R, et al., editors. Proceeding of ENUMATH97. Singapore: World Scientific. p. 596-605.
55. Vignon-Clementel IE, Figueroa CA, Jansen KE, Taylor CA. 2006. Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries. Comput Methods Appl Mech Eng. 195:3776-3796.
56. Younis HF, Kaazempur-Mofrad MR, Chan RC, Isasi AG, Hinton DP, Chau AH, Kim LA, Kamm RD. 2004. Hemodynamics and wall mechanics in human carotid bifurcation and its consequences for atherogenesis: Investigation of interindividual variation. Biomech Model Mechanobiol. 3(1): 17-32.
57. Zhao SZ, Ariff B, Long Q, Hughes AD, Thom SA, Stanton AV, Xu XY. 2002. Inter-individual variations in wall shear stress and mechanical stress distributions at the carotid artery bifurcation of healthy humans. J Biomech. 35(10): 1367-1377.
58. Zhao SZ, Papathanasopoulou P, Long Q, Marshall I, Xu XY. 2003. 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. 31:962-971.
59. Zohdi TI. 2005. A simple model for shear stress mediated lumen reduction in blood vessels. Biomech Model Mechanobiol. 4(1):57-61.