Effect of stenosis asymmetry on blood flow and artery compression: A three-dimensional fluid-structure interaction model

Annals of Biomedical Engineering

Volumn 31, Issue 10, 2003, Pages 1182-1193

  Tang, Dalin ^a   Yang, Chun ^b   Kobayashi, Shunichi ^c   Zheng, Jie ^d   Vito, Raymond P ^e  

^a Worcester Polytechnic Institute   (United States)

^b BEIJING NORMAL UNIVERSITY   (China)

^c SHINSHU UNIVERSITY   (Japan)

^d WASHINGTON UNIVERSITY SCHOOL OF MEDICINE   (United States)

^e GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Collapsible; Finite difference; Fluid structure interaction; Generalized finite difference; Heart attack; Iterative; Nonlinear elasticity; Plaque cap rupture; Stroke

Indexed keywords

BIOMECHANICS; BLOOD VESSELS; COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; FLUID STRUCTURE INTERACTION; ITERATIVE METHODS; NAVIER STOKES EQUATIONS; PHYSIOLOGY;

ARTERY COMPRESSION; BLOOD FLOW; HEART ATTACK; MOONEY-RIVLIN MODEL; NONLINEAR ELASTICITY; PLAQUE CAP RUPTURE; STENOSIS ASYMMETRY; STROKE;

HEMODYNAMICS;

ANIMAL; ARTERY; ARTICLE; BIOLOGICAL MODEL; BLOOD FLOW VELOCITY; BLOOD PRESSURE; BLOOD RHEOLOGY; COMPARATIVE STUDY; COMPRESSIVE STRENGTH; COMPUTER SIMULATION; EVALUATION; HEMOSTASIS; HUMAN; METHODOLOGY; NONLINEAR SYSTEM; PATHOPHYSIOLOGY; PERIPHERAL OCCLUSIVE ARTERY DISEASE; STENOSIS, OCCLUSION AND OBSTRUCTION; VALIDATION STUDY;

ANIMALS; ARTERIAL OCCLUSIVE DISEASES; ARTERIES; BLOOD FLOW VELOCITY; BLOOD PRESSURE; COMPRESSIVE STRENGTH; COMPUTER SIMULATION; CONSTRICTION, PATHOLOGIC; HEMORHEOLOGY; HEMOSTASIS; HUMANS; MODELS, CARDIOVASCULAR; NONLINEAR DYNAMICS;

EID: 0346965496     PISSN: 00906964     EISSN: None     Source Type: Journal    
DOI: 10.1114/1.1615577     Document Type: Article

References (50)

1. Aoki, T., and D. N. Ku. Collapse of diseases arteries with eccentric cross section. J. Biomech. Eng. 26:133-142, 1993.
2. Bathe, K. J. Finite Element Procedures. Englewood Cliffs, NJ: Prentice-Hall, 1996.
3. Bathe, K. J. Theory and Modeling Guide. Watertown, MA: ADINA R & D, 2002, Vol. 1.
4. Bathe, M., and R. D. Kamm. A fluid-structure interaction finite element analysis of pulsatile blood flow through a compliant stenotic artery. J. Biomech. Eng. 121:361-369, 1999.
5. Beattie, D. The mechanics of heterogeneous arteries: Implications for human atherosclerosis. PhD thesis, Georgia Institute of Technology, Atlanta, GA, 1996.
6. Beattie, D., C. Xu, R. P. Vito, S. Glagov, and M. C. Whang. Mechanical analysis of heterogeneous, atherosclerotic human aorta. J. Biomech. Eng. 120:602-607, 1998.
7. Burke, A. P., A. Farb, G. T. Malcom, Y. H. Liang, J. E. Smialek, and R. Virmani. Plaque rupture and sudden death related to exertion in men with coronary artery disease. J. Am. Med. Assoc. 281:921-926, 1999.
8. Cao, J., and S. E. Rittgers. Particle motion within in vitro models of stenosel internal carotid and left anterior descending coronary arteries. Ann. Biomed. Eng. 26:190-199, 1998.
9. Chaturani, P., and R. P. Samy. A study of non-Newtonian aspects of blood flow through stenosed arteries and its applications in arterial diseases. Biorheology 22:521-531, 1985.
10. Downing, J. M., and D. N. Ku. Effects of frictional losses and pulsatile flow on the collapse of stenotic arteries. J. Biomech. Eng. 119:317-324, 1997.
11. Friedman, M. H. Arteriosclerosis research using vascular flow models: From 2D branches to compliant replicas. J. Biomech. Eng. 115:595-601, 1993.
12. Fung, Y. C. Biomechanics, Mechanical Properties of Living Tissues, 2nd ed. New York: Springer, 1993.
13. Fung, Y. C. Biodynamics, Circulation, 2nd ed. New York: Springer, 1997.
14. Fuster, V. B., J. A. Stein, L. B. Ambrose, J. J. Badimon, and J. H. Chesebro. Atherosclerostic plaque rupture and thrombosis. Circulation 82:II-42-II-59, 1990.
15. Hafner, C. D. Minimizing the risks of carotid endarterectomy. J. Vasc. Surg. 1:392-397, 1984.
16. Hayashi, K. Experimental approaches on measuring the mechanical properties and constitutive laws of arterial walls. J. Biomech. Eng. 115:481-488, 1993.
17. Hughes, T. J. R., W. K. Liu, and T. Zimmermann. Lagrangian-Eulerian finite element formulation for incompressible viscous flows. Comput. Methods Appl. Mech. Eng. 29:329-349, 1981.
18. Judd, R. M., and M. E. Mates. Flow through a stenosis in a compliant tube. Proceedings of the 2nd International Symposium on Biofluid Mechanics and Biorheology, Munich, Germany, 1989, edited by D. Liepsch. Berlin: Springer, pp. 417-423.
19. Kamm, R. D., and A. H. Shapiro. Unsteady flow in a collapsible tube subjected to external pressure or body force. J. Biomech. Eng. 95:1-78, 1979.
20. Kleiber, M. Handbook of Computational Solid Mechanics, New York: Springer, 1998.
21. Kobayashi, S., T. Horie, H. Morikawa, D. Tang, and D. N. Ku, Flow and compression in collapsible asymmetric stenosis models of arterial disease. Proceedings of 2001 International Mechanical Engineering Congress and Exposition, 2001. New York: American Society of Mechanical Engineers, 2001, BED-23141.
22. Ku, D. N. Blood flow in arteries. Annu. Rev. Fluid Mech. 29:399-434, 1997.
23. Ku, D. N., D. P. Giddens, D. J. Phillips, and D. E. Strandness, Jr. Hemodynamics of the normal human carotid bifurcation: In vitro and in vivo studies. Ultrasound Med. Biol. 11:13-26, 1985.
24. Leuprecht, A., and K. Perktold. Computer simulation of non-Newtonian effect on blood flow in large arteries. Comput. Methods Biomech. Biomed. Eng. 4:149-163, 2001.
25. Liszka, T., and J. Orkisz. The finite difference method at arbitrary irregular grids and its application in applied mechanics. Comput. Struct. 11:83-95, 1980.
26. Loree, H. M., R. D. Kamm, C. M. Atkinson, and R. T. Lee, Turbulent pressure fluctuation on surface of model vascular stenosis. Am. J. Physiol. 261:H644-H650, 1991.
27. Loree, H. M., B. J. Tobias, L. J. Gibson, R. D. Kamm, D. M. Small, and R. T. Lee. Mechanical properties of model atherosclerotic lesion lipid pools. Arterioscler. Thromb. 14:230-234, 1994.
28. Luo, X. Y., and T. J. Pedley. Flow limitation and multiple solutions of flow in collapsible channel. J. Fluid Mech. 420:301-324, 2000.
29. May, P., C. Arrouvel, M. Revol, J. M. Servant, and E. Vicaut. Detection of hemodynamic turbulence in experimental stenosis: An in vivo study in the rat carotid artery. J. Vasc. Res. 39:21-29, 2002.
30. McCord, B. M., and D. N. Ku. Mechanical rupture of the atherosclerostic plaque fibrous cap. Proceedings of the 1993 Bioengineering Conference, 1993; Vol. 24:324-327.
31. Patankar, S. V. Numerical Heat Transfer and Fluid Flow. New York: Taylor and Francis, 1980.
32. Powell, B. E. Experimental measurements of flow through stenotic collapsible tubes. MS thesis, Georgia Institute of Technology, 1991.
33. Rittgers, S. E., Y. H. Yu, and J. T. Strony. Thrombus formation in moderate coronary stenosis using 2D-LDA. Proceedings of the Third World Congress of Biomechanics, 1998. Sapporo, Japan: World Congress of Biomechanics, p. 201.
34. Rugonyi, S., and K. J. Bathe. On finite element analysis of fluid flows fully coupled with structural interactions. Computational Methods Eng. Sci. 2:195-212, 2001.
35. Siebes, M., C. S. Campbell, and D. Z. D'Argenio. Fluid dynamics of a partially collapsible stenosis in a flow model of the coronary circulation. J. Biomech. Eng. 118:489-497, 1996.
36. Stergiopulos, N., J. E. Moore, Jr., A. Strassle, D. N. Ku, and J. J. Meister. Steady flow test and demonstration of collapse on models of compliant axisymmetric stenoses. Adv. Bioeng. 26:455-458, 1993.
37. Tang, D., C. Yang, S. Kobayashi, and D. N. Ku. Steady flow and wall compression in stenotic arteries: A 3D thick-wall model with fluid-wall interactions. J. Biomech. Eng. 123:548-557, 2001.
38. Tang, D., C. Yang, J. Zheng, and R. P. Vito. Stress/strain analysis of arteries with stenotic plaques and lipid cores. Proceedings of the Fourth World Congress of Biomechanics, 2002 (in press).
39. Tang, D., C. Yang, and D. N. Ku. A 3D thin-wall model with fluid-structure interactions for blood flow in carotid arteries with symmetric and asymmetric stenoses. Comput. Struct. 72:357-377, 1999.
40. Tang, D., J. Yang, C. Yang, and D. N. Ku. A nonlinear axisymmetric model with fluid-wall interactions for viscous flows in stenotic elastic tubes. J. Biomech. Eng. 121:494-501, 1999.
41. Tang, D., C. Yang, S. Kobayashi, J. Zheng, and R. Vito. Effects of stenosis asymmetry and stiffness on blood flow and artery compression: A 3D FSI model. WPI Mathematical Sciences Department, Technical Report MS-06-02-20, 2002.
42. Tang, D., C. Yang, J. Zheng, and C. Yuan. MRI-based flow and stress analysis of human arterial plaques with lipid cores and calcifications. Proceedings of the Fourth International Conference on Fluid Mechanics. Beijing: Tsinghua University Press, 2003.
43. Toussaint, J. F., G. M. LaMuraglia, J. F. Southern, V. Fuster, and H. L. Kantor. MR images of lipid, fibrous, calcified, hemorrhagic and thrombotic components of human atherosclerosis in vivo. Circulation 94:932-938, 1996.
44. Vaishnav, R. N., and J. Vossoughi. Incremental formulations in vascular mechanics. J. Biomech. Eng. 106:105-111, 1984.
45. Wootton, D. M., and D. N. Ku. Fluid mechanics of vascular systems, diseases, and thrombosis. Annu. Rev. Biomed. Eng. 1:299-329, 1999.
46. Yamaguchi, T., N. Furuta, T. Nakayama, and T. Kobayashi. Computations of the fluid and wall mechanical interactions in arterial diseases. Adv. Bioeng. 31:197-198, 1995.
47. Yamaguchi, T., T. Kobayashi, and H. Liu. Fluid-wall interactions in the collapse and ablation of an atheromatous plaque in coronary arteries. Proceedings of the Third World Congress of Biomechanics, 1998, p. 20b.
48. Yamaguchi, T., T. Nakayama, and T. Kobayashi. Computations of the wall mechanical response under unsteady flows in arterial diseases. Adv. Bioeng. 33:369-370, 1996.
49. Young, D. F., and F. Y. Tsai. Flow characteristics in models of arterial stenoses. I. Steady flow. J. Biomech. 6:395-410, 1973.
50. Yuan, C., L. M. Mitsumori, K. W. Beach, and K. R. Maravilla. Special review: Carotid atherosclerotic plaque: Non-invasive MR characterization and identification of vulnerable lesions. Radiology 221:285-299, 2001.