Journal of Vascular Surgery
Volume 37, Issue 5 , Pages 1118-1128 , May 2003

Computational modeling of arterial biomechanics: Insights into pathogenesis and treatment of vascular disease

Received 30 April 2002 ,Accepted 15 August 2002.

References 

  1. Caro CG, Fitz-Gerald JM, Schroter RC. Atheroma and arterial wall shear: observation, correlation and proposal of a shear dependent mass transfer mechanism for atherogenesis. Proc R Soc Lond [Biol]. 1971;177:109–159
  2. Fry DL. Acute vascular endothelial changes associated with increased blood velocity gradients. Circ Res. 1968;22:165–197
  3. Tada S, Tarbell JM. Flow through internal elastic lamina affects shear stress on smooth muscle cells: 3D simulations. Am J Physiol. 2002;282:H576–H584
  4. Rinker KD, Prabhakar V, Truskey GA. Effect of contact time and force on monocyte adhesion to vascular endothelium. Biophys J. 2001;80:1722–1732
  5. Davies PF. Spatial hemodynamics, the endothelium, and focal atherogenesis: a cell cycle link?. [editorial; comment] Circ Res. 2000;86:114–116
  6. Moore JA, Steinman DA, Holdsworth DW, Ethier CR. Accuracy of computational hemodynamics in complex arterial geometries reconstructed from magnetic resonance imaging. Ann Biomed Eng. 1999;27:32–41
  7. 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. J Vasc Surg. 1998;28:143–156
  8. Raghavan ML, Vorp DA, Federle MP, Makaroun MS, Webster MW. Wall stress distribution on three-dimensionally reconstructed models of human abdominal aortic aneurysm. J Vasc Surg. 2000;31:760–769
  9. Xu C, Lee S, Singh TM, Sho E, Li X, Sho M, et al.  Molecular mechanisms of aortic wall remodeling in response to hypertension. J Vasc Surg. 2001;33:570–578
  10. Lehoux S, Tedgui A. Signal transduction of mechanical stresses in the vascular wall. Hypertension. 1998;32:338–345
  11. Thubrikar MJ, Robicsek F. Pressure-induced arterial wall stress and atherosclerosis. Ann Thorac Surg. 1995;59:1594–1603
  12. Mills I, Cohen CR, Sumpio BE. Cyclic strain and vascular cell biology. In:  Sumpio BE editors. Hemodynamic forces and vascular cell biology. Austin, Tex: R. G. Landes; 1993;p. 66–89
  13. Loree HM, Kamm RD, Stringfellow RG, Lee RT. Effects of fibrous cap thickness on peak circumferential stress in model atherosclerotic vessels. Circ Res. 1992;71:850–858
  14. Cheng GC, Loree HM, Kamm RD, Fishbein MC, Lee RT. Distribution of circumferential stress in ruptured and stable atherosclerotic lesions: a structural analysis with histopathological correlation. Circulation. 1993;87:1179–1187
  15. Lee RT, Loree HM, Cheng GC, Lieberman EH, Jaramillo N, Schoen FJ. Computational structural analysis based on intravascular ultrasound imaging before in vitro angioplasty: prediction of plaque fracture locations. J Am Coll Cardiol. 1993;21:777–782
  16. Lee RT, Loree HM, Fishbein MC. High stress regions in saphenous vein bypass graft atherosclerotic lesions. J Am Coll Cardiol. 1994;24:1639–1644
  17. Lee RT, Schoen FJ, Loree HM, Lark MW, Libby P. Circumferential stress and matrix metalloproteinase 1 in human coronary atherosclerosis: implications for plaque rupture. Arterioscler Thromb Vasc Biol. 1996;16:1070–1073
  18. Huang H, Virmani R, Younis H, Burke AP, Kamm RD, Lee RT. The impact of calcification on the biomechanical stability of atherosclerotic plaques. Circulation. 2001;103:1051–1056
  19. Matsumoto T, Itagaki H, Hayashi K. FEM analysis of stress and deformation in the vicinities of arterial graft anastomosis. J Appl Biomat. 1994;5:79–87
  20. Beattie D, Xu C, Vito R, Glagov S, Whang MC. Mechanical analysis of heterogeneous, atherosclerotic human aorta. J Biomech Eng. 1998;120:602–607
  21. Aoki T, Ku DN. Collapse of diseased arteries with eccentric cross section. J Biomech. 1993;26:133–142
  22. Salzar RS, Thubrikar MJ, Eppink RT. Pressure-induced mechanical stress in the carotid artery bifurcation: a possible correlation to atherosclerosis. J Biomech. 1995;28:1333–1340
  23. Delfino A, Stergiopulos N, Moore JE, Meister JJ. Residual strain effects on the stress field in a thick wall finite element model of the human carotid bifurcation. J Biomech. 1997;30:777–786
  24. Ding Z, Friedman MH. Quantification of 3-D coronary arterial motion using clinical biplane cineangiograms. Int J Card Imaging. 2000;16:331–346
  25. Ding Z, Friedman MH. Dynamics of human coronary arterial motion and its potential role in coronary atherogenesis. J Biomech Eng. 2000;122:488–492
  26. Stein PD, Hamid MS, Shivkumar K, Davis TP, Khaja F, Henry JW. Effects of cyclic flexion of coronary arteries on progression of atherosclerosis. Am J Cardiol. 1994;73:431–437
  27. Rogers C, Tseng DY, Squire JC, Edelman ER. Balloon-artery interactions during stent placement: a finite element analysis approach to pressure, compliance, and stent design as contributors to vascular injury. Circ Res. 1999;84:378–383
  28. Hofer M, Rappitsch G, Perktold K, Trubel W, Schima H. Numerical study of wall mechanics and fluid dynamics in end-to-side anastomoses and correlation to intimal hyperplasia. J Biomech. 1996;29:1297–1308
  29. Ballyk PD, Walsh C, Butany J, Ojha M. Compliance mismatch may promote graft-artery intimal hyperplasia by altering suture-line stresses. J Biomech. 1998;31:229–237
  30. Leuprecht A, Perktold K, Prosi M, Berk T, Trubel W, Schima H. Numerical study of hemodynamics and wall mechanics in distal end-to-side anastomoses of bypass grafts. J Biomech. 2002;35:225–236
  31. Mower WR, Baraff LJ, Sneyd J. Stress distributions in vascular aneurysms: factors affecting risk of aneurysm rupture. J Surg Res. 1993;55:155–161
  32. Mower WR, Quinones WJ, Gambhir SS. Effect of intraluminal thrombus on abdominal aortic aneurysm wall stress. J Vasc Surg. 1997;26:602–608
  33. Stringfellow MM, Lawrence PF, Stringfellow RG. The influence of aorta-aneurysm geometry upon stress in the aneurysm wall. J Surg Res. 1987;42:425–433
  34. Sacks MS, Vorp DA, Raghavan ML, Federle MP, Webster MW. In vivo three-dimensional surface geometry of abdominal aortic aneurysms. Ann Biomed Eng. 1999;27:469–479
  35. Vorp DA, Wang DHJ. Use of finite elasticity in abdominal aortic aneurysm research. In:  Casey J,  Bao G editor. Mechanics in biology. Vol 46:New York: ASME Press, Bioengineering Division; 2000;p. 157–171
  36. Wang DHJ, Marakoun MS, Vorp DA. Noninvasive estimation of wall strength distribution in human abdominal aortic aneurysm. In:  Kamm RD, et al. editor. Advances in bioengineering. Vol 50:New York: ASME Press, Bioengineering Division; 2001;p. 685–686
  37. Malek AM, Alper SL, Izumo S. Hemodynamic shear stress and its role in atherosclerosis. JAMA. 1999;282:2035–2042
  38. Kleinstreuer C, Hyun S, Buchanan JR, Longest PW, Archie JP, Truskey GA. Hemodynamic parameters and early intimal thickening in branching blood vessels. Crit Rev Biomed Eng. 2001;29:1–64
  39. 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
  40. Friedman MH, Bargeron CB, Deters OJ, Hutchins GM, Mark FF. Correlation between wall shear and intimal thickness at a coronary artery branch. Atherosclerosis. 1987;68:27–33
  41. Steinman DA. Image-based CFD modelling in realistic geometries. Ann Biomed Eng. 2002;30:483–497
  42. Zhao SZ, Xu XY, Hughes AD, Thom SA, Stanton AV, Ariff B, et al.  Blood flow and vessel mechanics in a physiologically realistic model of a human carotid arterial bifurcation. J Biomech. 2000;33:975–984
  43. How the blood flows. Science. 2000;290:1291
  44. Krams R, Wentzel JJ, Oomen JA, Vinke R, Schuurbiers JC, de Feyter PJ, et al.  Evaluation of endothelial shear stress and 3D geometry as factors determining the development of atherosclerosis and remodeling in human coronary arteries in vivo: combining 3D reconstruction from angiography and IVUS (ANGUS) with computational fluid dynamics. Arterioscler Thromb Vasc Biol. 1997;17:2061–2065
  45. Wentzel JJ, Krams R, Schuurbiers JC, Oomen JA, Kloet J, Der Giessen WJ, et al.  Relationship between neointimal thickness and shear stress after Wallstent implantation in human coronary arteries. Circulation. 2001;103:1740–1745
  46. Wentzel JJ, Kloet J, Andhyiswara I, Oomen JA, Schuurbiers JC, de Smet B, et al.  Shear-stress and wall-stress regulation of vascular remodeling after balloon angioplasty: effect of matrix metalloproteinase inhibition. Circulation. 2001;104:91–96
  47. 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. Magn Reson Med. 2002;47:149–159
  48. Wells DR, Archie JP, Kleinstreuer C. Effect of carotid artery geometry on the magnitude and distribution of wall shear stress gradients. J Vasc Surg. 1996;23:667–678
  49. Steinman DA, Vinh B, Ethier CR, Ojha M, Cobbold RS, Johnston KW. A numerical simulation of flow in a two-dimensional end-to-side anastomosis model. J Biomech Eng. 1993;115:112–118
  50. Hyun S, Kleinstreuer C, Archie JP. Computational particle-hemodynamics analysis and geometric reconstruction after carotid endarterectomy. Comput Biol Med. 2001;31:365–384
  51. Leuprecht A, Perktold K, Prosi M, Berk T, Trubel W, Schima H. Numerical study of hemodynamics and wall mechanics in distal end-to-side anastomoses of bypass grafts. J Biomech. 2002;35:225–236
  52. Perktold K, Leuprecht A, Prosi M, Berk T, Czerny M, Trubel W, et al.  Fluid dynamics, wall mechanics and oxygen transfer in peripheral bypass anastomoses: computer studies on various designs. Ann Biomed Eng. 2002;35:225–236
  53. Taylor CA, Draney MT, Ku JP, Parker D, Steele BN, Wang K, et al.  Predictive medicine: computational techniques in therapeutic decision-making. Comput Aided Surg. 1999;4:231–247
  54. Guadagni G, Migliavacca F, Dubini G, Bove EL. Simulations of surgical planning for Fontan procedures. Proceedings of the ASME Bioengineering Conference. 2001;50:911–912
  55. Cebral JR, Lohner R, Burgess JE. Computer simulation of cerebral artery clipping: relevance to aneurysm neuro-surgery planning. Proceedings of the European Congress on Computational Methods in Applied Sciences and Engineering. 2000 Sep 11-14; Barcelona
  56. Steinman DA, Milner JS, Norley CJ, Lownie SP, Holdsworth DW. Computed blood flow dynamics in an anatomically realistic cerebral aneurysm. Proceedings of the Fourth World Congress of Biomechanics. 2002 Aug 4-9; Calgary, Canada
  57. Steinman DA, Rutt BK. On the nature and reduction of plaque-mimicking flow artifacts in black blood MRI of the carotid bifurcation. Magn Reson Med. 1998;39:635–641
  58. Jou LD, van TR, Berger SA, Saloner D. Calculation of the magnetization distribution for fluid flow in curved vessels. Magn Reson Med. 1996;35:577–584
  59. Steinman DA, Ethier CR, Rutt BK. Combined analysis of spatial and velocity displacement artifacts in phase contrast measurements of complex flows. J Magn Reson Imaging. 1997;7:339–346
  60. Rappitsch G, Perktold K. Pulsatile albumin transport in large arteries: a numerical simulation study. J Biomech Eng. 1996;118:511–519
  61. Kaazempur-Mofrad MR, Ethier CR. Mass transport in an anatomically realistic human right coronary artery. Ann Biomed Eng. 2001;29:121–127
  62. Qiu Y, Tarbell JM. Numerical simulation of oxygen mass transfer in a compliant curved tube model of a coronary artery. Ann Biomed Eng. 2000;26–38
  63. Crawford DW, Blankenhorn DH. Arterial wall oxygenation, oxyradicals, and atherosclerosis. Atherosclerosis. 1991;89:97–108
  64. Moore JA, Ethier CR. Oxygen mass transfer calculations in large arteries. J Biomech Eng. 1997;119:469–475
  65. Deng X, Marois Y, How T, Merhi Y, King M, Guidoin R, et al.  Luminal surface concentration of lipoprotein (LDL) and its effect on the wall uptake of cholesterol by canine carotid arteries. [published erratum appears in J Vasc Surg 1995;22:648] J Vasc Surg. 1995;21:135–145
  66. Wada S, Karino T. Computational study on LDL transfer from flowing blood to arterial walls. In:  Yamaguchi T editors. Clinical applications of computational mechanics to the cardiovascular system. Tokyo: Springer-Verlag; 2000;p. 157–173
  67. Lever MJ, Tarbell JM, Caro CG. The effect of luminal flow in rabbit carotid artery on transmural fluid transport. Exp Physiol. 1992;77:553–563
  68. Rappitsch G, Perktold K. Computer simulation of convective diffusion processes in large arteries. J Biomech. 1996;29:207–215
  69. Karner G, Perktold K. Effect of endothelial injury and increased blood pressure on albumin accumulation in the arterial wall: a numerical study. J Biomech. 2000;33:709–715
  70. Karner G, Perktold K, Zehentner HP. Computational modeling of macromolecule transport in the arterial wall. Comput Meth Biomech Biomed Eng. 2001;4:491–504

 Competition of interest: none.

☆☆ Supported by ongoing financial assistance from the Heart and Stroke Foundation of Ontario (Grant T-4770 and a New Investigator Award [D.A.S.]); by The Whitaker Foundation, the University of Pittsburgh Medical Center, The Pittsburgh Foundation, and National Institutes of Health Grant RO1 HL60670-01A2 (D.A.V.); and by the Natural Sciences and Engineering Research Council of Canada (C.R.E.).

 Reprint requests to: C. Ross Ethier, PhD, Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, Canada M5S 3G8 (email: ethier@mie.utoronto.ca).

★★ 0741-5214/2003/$30.00 + 0

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doi: 10.1067/mva.2003.122

Journal of Vascular Surgery
Volume 37, Issue 5 , Pages 1118-1128 , May 2003