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Computational Blood Flow Modeling Based on In Vivo Measurements

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Abstract

Study of the relationship between hemodynamics and atherogenesis requires accurate three-dimensional descriptions of in vivo arterial geometries. Common methods for obtaining such geometries include in vivo medical imaging and postmortem preparations (vessel casts, pressure-fixed vessels). We sought to determine the relative accuracy of these methods. The aorto–iliac (A/I) region of six rabbits was imaged in vivo using contrast-enhanced magnetic resonance imaging (MRI). After sacrifice, the geometry of the A/I region was preserved via vascular casts in four animals, and ex situ pressure fixation (while preserving dimensions) in the remaining two animals. The MR images and postmortem preparations were used to build computer representations of the A/I bifurcations, which were then used as input for computational blood flow analyses. Substantial differences were seen between MRI-based models and postmortem preparations. Bifurcation angles were consistently larger in postmortem specimens, and vessel dimensions were consistently smaller in pressure-fixed specimens. In vivo MRI-based models underpredicted aortic dimensions immediately proximal to the bifurcation, causing appreciable variation in the aorto–iliac parent/child area ratio. This had an important effect on wall shear stress and separation patterns on the “hips” of the bifurcation, with mean wall shear stress differences ranging from 15% to 35%, depending on the model. The above results, as well as consideration of known and probable sources of error, suggests that in vivo MRI best replicates overall vessel geometry (vessel paths and bifurcation angle). However, vascular casting seems to better capture detailed vessel cross-sectional dimensions and shape. It is important to accurately characterize the local aorto–iliac area ratio when studying in vivo bifurcation hemodynamics. © 1999 Biomedical Engineering Society.

PAC99: 8719Uv, 8761Lh

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REFERENCES

  1. Beere, P. A., S. Glagov, and C. K. Zarins. Experimental atherosclerosis at the carotid bifurcation of the cynomolgus monkey. Localization, compensatory enlargement and the sparing effect of lowered heart rate. Arterioscler. Thromb. 12:1245–1253, 1992.

    Google Scholar 

  2. Clowes, A. W., T. R. Kirkman, and M. M. Clowes. Mechanisms of arterial graft failure. II. Chronic endothelial smooth muscle cell proliferation in healing polytetrafluoroethylene prostheses. J. Vasc. Surg. 3:877–884, 1986.

    Google Scholar 

  3. Crowe, W. J., and L. J. Krovertz. Studies of arterial branching in models using flow birefringence. Med. Biol. Eng. 10:415–426, 1972.

    Google Scholar 

  4. Duncan, D. D., C. B. Bargeron, S. E. Borchardt, O. J. Deters, S. A. Gearhart, F. F. Mark, and M. H. Friedman. The effect of compliance on wall shear in casts of a human aortic bifurcation. J. Biomech. Eng. 112:183–188, 1990.

    Google Scholar 

  5. Ethier, C. R., D. A. Steinman, and M. Ojha. In: Hemodynamics of Arterial Organs, edited by X. Y. Xu and M. W. Collins. Computational Mechanics: Billerica, MA, 1999.

    Google Scholar 

  6. Friedman, M. H., C. B. Bargeron, O. J. Deters, G. M. Hutchins, and F. F. Mark. Correlation between wall shear and intimal thickness at a coronary artery branch. Atherosclerosis (Berlin) 68:27–33, 1987.

    Google Scholar 

  7. Friedman, M. H., O. J. Deters, C. B. Bargeron, G. M. Hutchins, and F. F. Mark. Shear-dependent thickening of the human arterial intima. Atherosclerosis (Berlin) 60:161–171, 1986

    Google Scholar 

  8. Friedman, M. H., O. J. Deters, F. F. Mark, C. B. Bargeron, and G. M. Hutchins. Arterial geometry affects hemodynamics. Atherosclerosis (Berlin) 46:225–231, 1989.

    Google Scholar 

  9. Friedman, M. H., G. M. Hutchins, C. B. Bargeron, O. J. Deters, and F. F. Mark. Correlation of human arterial morphology with hemodynamic measurements in arterial casts. J. Biomech. Eng. 103:204–270, 1981.

    Google Scholar 

  10. Fung, Y. C., and S. S. Sobin. The retained elasticity of elastin under fixation agents. J. Biomech. Eng. 103:121–122, 1981.

    Google Scholar 

  11. Hirsch, E. Z., G. M. Chisolm, II, and A. Gibbons. Quantitative assessment of changes in aortic dimensions in response to in situ perfusion fixation at physiological pressures. Atherosclerosis (Berlin) 38:63–74, 1981.

    Google Scholar 

  12. Holdsworth, D. W., M. Drangova, and A. Fenster. A high-resolution XRII-based quantitative volume CT scanner. Med. Phys. 20:449–462, 1993.

    Google Scholar 

  13. Ishibashi, H., M. Sunamura, and T. Karino. Flow patterns and preferred sites of intimal thickening in end-to-end anastomosed vessels. Surgery (St. Louis) 117:409–420, 1995.

    Google Scholar 

  14. Jones, S. A., D. P. Giddens, F. Loth, C. K. Zarins, F. Kajiya, I. Morita, O. Hiramatsu, Y. Ogasawara, and K. Tsujioka. In vivo measurements of blood flow velocity profiles in canine ilio-femoral anastomotic bypass grafts. J. Biomech. Eng. 119:30–83, 1997.

    Google Scholar 

  15. Kiel, J. W., and V. S. Bishop. Effect of fasting and refeeding on mesenteric autoregulation in conscious rabbits. Am. J. Physiol. 262:H1407-H1414, 1992.

    Google Scholar 

  16. Kratky, R. G., and M. R. Roach. Shrinkage of Batson's and its relevance to vascular casting. Atherosclerosis (Berlin) 51:339–341, 1984.

    Google Scholar 

  17. Kratky, R. G., C. M. Zeindler, D. K. C. Lo, and M. R. Roach. Quantitative measurements from vascular casts. Scanning Microsc. 3:937–943, 1989.

    Google Scholar 

  18. Langille, B. L., and S. L. Adamson. Relationship between blood flow direction and endothelial cell orientation at arterial branch sites in rabbits and mice. Circ. Res. 48:481–488, 1981.

    Google Scholar 

  19. Langille, B. L., M. A. Reidy, and R. L. Kline. Injury and repair of endothelium at sites of flow disturbances near abdominal aortic coarctations in rabbits. Arteriosclerosis (Dallas) 6:146–154, 1986.

    Google Scholar 

  20. Lee, R. M. K. W. Preservation of in vivo morphology of blood vessels for morphometric studies. Scanning Microsc. 1:1287–1293, 1987.

    Google Scholar 

  21. Liepsch, D., A. Poll, J. Strigberger, N. Sabbah, and P. D. Stein. Flow visualization studies in a mold of the normal human aorta and renal arteries. J. Biomech. Eng. 115:222–227, 1989.

    Google Scholar 

  22. Malcolm, A. D., and M. R. Roach. Flow disturbances at the apex and lateral angles of a variety of bifurcation models and their role in development and manifestations of arterial disease. Stroke 10:335–343, 1979.

    Google Scholar 

  23. Mark, F. F., C. B. Bargeron, O. J. Deters, and M. H. Friedman. Variations in geometry and shear rate distribution in casts of human aortic bifurcations. J. Biomech. 22:577–582, 1989.

    Google Scholar 

  24. Milner, J. S., J. A. Moore, B. K. Rutt, and D. A. Steinman. Hemodynamics of human carotid artery bifurcations: Computational studies in models reconstructed from magnetic resonance imaging of normal subjects. J. Vasc. Surg. 28:143–156, 1998.

    Google Scholar 

  25. Moore, J. A. Computational Blood Flow Modeling in Realistic Arterial Geometries. University of Toronto: Department of Mechanical Engineering, PhD thesis, 1998.

  26. Moore, J. A., D. A. Steinman, and C. R. Ethier. Computational blood flow modeling: Errors associated with reconstructing finite element models from magnetic resonance images. J. Biomech. 31:179–184, 1998.

    Google Scholar 

  27. Moore, J. A., D. A. Steinman, D. W. Holdsworth, and C. R. Ethier. Accuracy of computational hemodynamics in complex arterial geometries reconstructed from magnetic resonance imaging. Ann. Biomed. Eng. 27:32–41, 1999.

    Google Scholar 

  28. Rayman, R., R. G. Kratky, and M. R. Roach. Steady flow visualization in a rigid canine aortic cast. J. Biomech. 18:863–875, 1985.

    Google Scholar 

  29. Sun, H., B. D. Kuban, P. Schmalbrock, and M. H. Friedman. Measurement of the geometric parameters of the aortic bifurcation from magnetic resonance images. Ann. Biomed. Eng. 22:229–239, 1994.

    Google Scholar 

  30. West, M. J., J. A. Angus, and P. I. Korner. Estimation of non-autonomic and autonomic components of iliac bed vascular resistance in renal hypertensive rabbits. Cardiovasc. Res. 9:697–706, 1975.

    Google Scholar 

  31. Zarins, C. K., D. P. Giddens, B. K. Bharadvaj, V. S. Sottiurai, R. F. Mabon, and S. Glagov. Cartoid bifurcation atherosclerosis. Quantitative correlation of plaque localization with flow velocity profiles and wall shear stress. Circ. Res. 53:502–514, 1983.

    Google Scholar 

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Moore, J.A., Rutt, B.K., Karlik, S.J. et al. Computational Blood Flow Modeling Based on In Vivo Measurements. Annals of Biomedical Engineering 27, 627–640 (1999). https://doi.org/10.1114/1.221

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