Open problems in computational vascular biomechanics: Hemodynamics and arterial wall mechanics

Computer Methods in Applied Mechanics and Engineering

Volumn 198, Issue 45-46, 2009, Pages 3514-3523

  Taylor, C A ^a   Humphrey, J D ^b  

^a STANFORD UNIVERSITY   (United States)

^b Texas A and M University   (United States)

Author keywords

Biomechanical aspects of vascular disease; Computational biofluid mechanics; Intramural stress; Patient specific modeling; Wall shear stress

Indexed keywords

BIOMECHANICAL ASPECTS OF VASCULAR DISEASE; COMPUTATIONAL BIOFLUID MECHANICS; INTRAMURAL STRESS; PATIENT-SPECIFIC MODELING; WALL SHEAR STRESS;

BIOCHEMISTRY; BIOMECHANICS; BIOPHYSICS; CARBON DIOXIDE; COMPUTATIONAL MECHANICS; HISTOLOGY; MEDICAL IMAGING; MICROCIRCULATION; MOLECULAR BIOLOGY; OXYGEN SUPPLY; SHEAR STRESS; STRENGTH OF MATERIALS;

ELASTICITY;

EID: 69949153063     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2009.02.004     Document Type: Article

References (83)

1. Young T. Hydraulic investigations, subservient to an intended croonian lecture on the motion of the blood. Philos. Trans. Roy. Soc. (London) 98 (1808) 164-186
2. Roy C.S. The elastic properties of the arterial wall. J. Physiol. 3 (1881) 125-159
3. Pries A.R., Secomb T.W., and Gaehtgens P. Design principles of vascular beds. Circ. Res. 77 5 (1995) 1017-1023
4. Olufsen M.S. Structured tree outflow condition for blood flow in larger systemic arteries. Am. J. Physiol. 276 1 Pt 2 (1999) H257-H268
5. Kassab G.S., Rider C.A., Tang N.J., and Fung Y.C. Morphometry of pig coronary arterial trees. Am. J. Physiol. 265 1 Pt 2 (1993) H350-H365
6. Nichols W.W., and O'Rourke M.F. Mcdonald's Blood Flow in Arteries: Theoretical, Experimental and Clinical Principles. fifth ed. (2005), Oxford University Press
7. Davies P.F. Flow-mediated endothelial mechanotransduction. Physiol. Rev. 75 3 (1995) 519-560
8. Strauss B.H., and Rabinovitch M. Adventitial fibroblasts: defining a role in vessel wall remodeling. Am. J. Respir. Cell Mol. Biol. 22 1 (2000) 1-3
9. Levy B.I., and Tedgui A. Biology of the Arterial Wall (1999), Kluwer Academic Publishers, Dordrecht
10. Humphrey J.D. Cardiovascular Solid Mechanics: Cells, Tissues, and Organs (2002), Springer, New York
11. Greenwald S.E. Ageing of the conduit arteries. J. Pathol. 211 2 (2007) 157-172
12. O'Rourke M.F., and Hashimoto J. Mechanical factors in arterial aging: a clinical perspective. J. Am. Coll. Cardiol. 50 1 (2007) 1-13
13. Laurent S., Tropeano A.I., and Boutouyrie P. Pulse pressure reduction and cardiovascular protection. J. Hypertens. Suppl. 24 3 (2006) S13-S18
14. Humphrey J.D. Vascular adaptation and mechanical homeostasis at tissue, cellular, and sub-cellular levels. Cell Biochem. Biophys. 50 2 (2008) 53-78
15. Jeffery T.K., and Wanstall J.C. Pulmonary vascular remodeling: a target for therapeutic intervention in pulmonary hypertension. Pharmacol. Ther. 92 1 (2001) 1-20
16. Mandegar M., Fung Y.C., Huang W., Remillard C.V., Rubin L.J., and Yuan J.X. Cellular and molecular mechanisms of pulmonary vascular remodeling: role in the development of pulmonary hypertension. Microvasc. Res. 68 2 (2004) 75-103
17. Burrowes K.S., Hunter P.J., and Tawhai M.H. Anatomically based finite element models of the human pulmonary arterial and venous trees including supernumerary vessels. J. Appl. Physiol. 99 2 (2005) 731-738
18. Spilker R.L., Feinstein J.A., Parker D.W., Reddy V.M., and Taylor C.A. Morphometry-based impedance boundary conditions for patient-specific modeling of blood flow in pulmonary arteries. Ann. Biomed. Engrg. 35 4 (2007) 546-559
19. Caro C.G., Fitz-Gerald J.M., and Schroter R.C. Atheroma arterial wall shear. Observation, correlation and proposal of a shear dependent mass transfer mechanism for atherogenesis. Proc. Roy. Soc. London B: Biol. Sci. 177 46 (1971) 109-159
20. Friedman M.H., Hutchins G.M., Bargeron C.B., Deters O.J., and Mark F.F. Correlation between intimal thickness and fluid shear in human arteries. Atherosclerosis 39 3 (1981) 425-436
21. Zarins C.K., Giddens D.P., Bharadvaj B.K., Sottiurai V.S., Mabon R.F., and Glagov S. Carotid bifurcation atherosclerosis. Quantitative correlation of plaque localization with flow velocity profiles and wall shear stress. Circ. Res. 53 4 (1983) 502-514
22. Humphrey J.D., and Canham P. Structure, properties, and mechanics of intracranial saccular aneurysms. J. Elast. 61 (2000) 49-81
23. Vorp D.A. Biomechanics of abdominal aortic aneurysm. J. Biomech. 40 9 (2007) 1887-1902
24. Humphrey J.D., and Taylor C.A. Intracranial and abdominal aortic aneurysms: similarities, differences, and need for a new class of computational models. Annu. Rev. Biomed. Engrg. 10 (2008) 221-246
25. Baek S., Rajagopal K.R., and Humphrey J.D. A theoretical model of enlarging intracranial fusiform aneurysms. J. Biomech. Engrg. 128 1 (2006) 142-149
26. Kroon M., and Holzapfel G.A. A model for saccular cerebral aneurysm growth by collagen fibre remodelling. J. Theor. Biol. 247 4 (2007) 775-787
27. Dalman R.L., Tedesco M.M., Myers J., and Taylor C.A. AAA disease: mechanism, stratification, and treatment. Ann. New York Acad. Sci. 1085 (2006) 92-109
28. Anand M., Rajagopal K., and Rajagopal K.R. A model for the formation, growth, and lysis of clots in quiescent plasma. A comparison between the effects of antithrombin III deficiency and protein c deficiency. J. Theor. Biol. 253 4 (2008) 725-738
29. Guy R.D., Fogelson A.L., and Keener J.P. Fibrin gel formation in a shear flow. Math. Med. Biol. 24 1 (2007) 111-130
30. Wootton D.M., and Ku D.N. Fluid mechanics of vascular systems, diseases, and thrombosis. Annu. Rev. Biomed. Engrg. 1 (1999) 299-329
31. Kiousis D.E., Gasser T.C., and Holzapfel G.A. A numerical model to study the interaction of vascular stents with human atherosclerotic lesions. Ann. Biomed. Engrg. 35 11 (2007) 1857-1869
32. LaDisa Jr. J.F., Guler I., Olson L.E., Hettrick D.A., Kersten J.R., Warltier D.C., and Pagel P.S. Three-dimensional computational fluid dynamics modeling of alterations in coronary wall shear stress produced by stent implantation. Ann. Biomed. Engrg. 31 8 (2003) 972-980
33. Rogers C., and Edelman E.R. Endovascular stent design dictates experimental restenosis and thrombosis. Circulation 91 12 (1995) 2995-3001
34. Finn A.V., Nakazawa G., Joner M., Kolodgie F.D., Mont E.K., Gold H.K., and Virmani R. Vascular responses to drug eluting stents: importance of delayed healing. Arterioscler. Thromb. Vasc. Biol. 27 7 (2007) 1500-1510
35. Fogarty T.J., Arko F.R., and Zarins C.K. Endograft technology: highlights of the past 10 years. J. Endovasc. Ther. 11 Suppl. 2 (2004) II192-II199
36. Linfante I., and Wakhloo A.K. Brain aneurysms and arteriovenous malformations: advancements and emerging treatments in endovascular embolization. Stroke 38 4 (2007) 1411-1417
37. Yoganathan A.P., He Z., and Casey Jones S. Fluid mechanics of heart valves. Annu. Rev. Biomed. Engrg. 6 (2004) 331-362
38. Simon M.A., Watson J., Baldwin J.T., Wagner W.R., and Borovetz H.S. Current and future considerations in the use of mechanical circulatory support devices. Annu. Rev. Biomed. Engrg. 10 (2008) 59-84
39. Ross R. Atherosclerosis - an inflammatory disease. New Engl. J. Med. 340 2 (1999) 115-126
40. Gijsen F.J., Allanic E., van de Vosse F.N., and Janssen J.D. The influence of the non-Newtonian properties of blood on the flow in large arteries: unsteady flow in a 90 degrees curved tube. J. Biomech. 32 7 (1999) 705-713
41. Perktold K., Resch M., and Peter R.O. Three-dimensional numerical analysis of pulsatile flow and wall shear stress in the carotid artery bifurcation. J. Biomech. 24 6 (1991) 409-420
42. Figueroa C.A., Vignon-Clementel I.E., Jansen K.C., Hughes T.J.R., and Taylor C.A. A coupled momentum method for modeling blood flow in three-dimensional deformable arteries. Comput. Methods Appl. Mech. Engrg. 195 41-43 (2006) 5685-5706
43. Perktold K., and Rappitsch G. Computer simulation of local blood flow and vessel mechanics in a compliant carotid artery bifurcation model. J. Biomech. 28 7 (1995) 845-856
44. Ethier C.R. Computational modeling of mass transfer and links to atherosclerosis. Ann. Biomed. Engrg. 30 4 (2002) 461-471
45. Taylor C.A., Hughes T.J.R., and Zarins C.K. Finite element modeling of blood flow in arteries. Comput. Methods Appl. Mech. Engrg. 158 (1998) 155-196
46. Taylor C.A., and Draney M.T. Experimental and computational methods in cardiovascular fluid mechanics. Annu. Rev. Fluid Mech. 36 (2004) 197-231
47. Vignon-Clementel I.E., Figueroa C.A., Jansen K.E., and Taylor C.A. Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries. Comput. Methods Appl. Mech. Engrg. 195 29-32 (2006) 3776-3796
48. Fung Y.C. Biomechanics: Motion, Flow, Stress, and Growth (1990), Springer, New York
49. Holzapfel G.A., Gasser T.C., and Ogden R.W. A new constitutive framework for arterial wall mechanics and a comparative study of material models. J. Elast. 61 (2000) 1-48
50. A. Valentin, L. Cardamone, S. Baek, J.D. Humphrey, Complementary vasoactivity and matrix remodelling in arterial adaptations to altered flow and pressure, J. R. Soc. Interface (2009), in press.
51. Alastrue V., Pena E., Martinez M.A., and Doblare M. Assessing the use of the "Opening angle method" to enforce residual stresses in patient-specific arteries. Ann. Biomed. Engrg. 35 10 (2007) 1821-1837
52. Delfino A., Stergiopulos N., Moore Jr. J.E., and Meister J.J. Residual strain effects on the stress field in a thick wall finite element model of the human carotid bifurcation. J. Biomech. 30 8 (1997) 777-786
53. Stalhand J., Klarbring A., and Karlsson M. Towards in vivo aorta material identification and stress estimation. Biomech. Model Mechanobiol. 2 3 (2004) 169-186
54. Masson I., Boutouyrie P., Laurent S., Humphrey J.D., and Zidi M. Characterization of arterial wall mechanical behavior and stresses from human clinical data. J. Biomech. (2008)
55. Hughes T.J.R., Liu W.K., and Zimmermann T.K. Lagrangian-Eulerian finite element formulation for incompressible viscous flows. Comput. Methods Appl. Mech. Engrg. 29 (1981) 329-349
56. Wolinsky H., and Glagov S. Comparison of abdominal and thoracic aortic medial structure in mammals. Deviation of man from the usual pattern. Circ. Res. 25 6 (1969) 677-686
57. Tarbell J.M. Mass transport in arteries and the localization of atherosclerosis. Annu. Rev. Biomed. Engrg. 5 (2003) 79-118
58. Shadden S.C., and Taylor C.A. Characterization of coherent structures in the cardiovascular system. Ann. Biomed. Engrg. 36 7 (2008) 1152-1162
59. Dajnowiec D., and Langille B.L. Arterial adaptations to chronic changes in haemodynamic function: coupling vasomotor tone to structural remodelling. Clin. Sci. (London) 113 1 (2007) 15-23
60. Buerk D.G. Can we model nitric oxide biotransport? A survey of mathematical models for a simple diatomic molecule with surprisingly complex biological activities. Annu. Rev. Biomed. Engrg. 3 (2001) 109-143
61. Rachev A. A model of arterial adaptation to alterations in blood flow. J. Elast. 61 (2000) 83-111
62. Taber L.A. A model for aortic growth based on fluid shear and fiber stresses. J. Biomech. Engrg. 120 3 (1998) 348-354
63. Humphrey J.D., and Rajagopal K.R. A constrained mixture model for growth and remodeling of soft tissues. Math. Model Method Appl. Sci. 12 (2002) 407-430
64. Watton P.N., Hill N.A., and Heil M. A mathematical model for the growth of the abdominal aortic aneurysm. Biomech. Model Mechanobiol. 3 2 (2004) 98-113
65. Baek S., Gleason R.L., Rajagopal K.R., and Humphrey J.D. Theory of small on large: potential utility in computations of fluid-solid interactions in arteries. Comput. Methods Appl. Mech. Engrg. 196 (2007) 3070-3078
66. Figueroa C.A., Baek S., Taylor C.A., and Humphrey J.D. A computational framework for coupled fluid-solid growth modeling in cardiovascular simulations. Comput. Methods Appl. Mech. Engrg. (2008) 3583-3602
67. Moore J.A., Rutt B.K., Karlik S.J., Yin K., and Ethier C.R. Computational blood flow modeling based on in vivo measurements. Ann. Biomed. Engrg. 27 5 (1999) 627-640
68. Taylor C.A., Draney M.T., Ku J.P., Parker D., Steele B.N., Wang K., and Zarins C.K. Predictive medicine: computational techniques in therapeutic decision-making. Comput. Aided Surg. 4 5 (1999) 231-247
69. Long Q., Xu X.Y., Ariff B., Thom S.A., Hughes A.D., and Stanton A.V. Reconstruction of blood flow patterns in a human carotid bifurcation: a combined CFD and MRI study. J. Magn. Reson. Imaging 11 3 (2000) 299-311
70. Steinman D.A. Image-based computational fluid dynamics modeling in realistic arterial geometries. Ann. Biomed. Engrg. 30 4 (2002) 483-497
71. Gijsen F.J., Wentzel J.J., Thury A., Lamers B., Schuurbiers J.C., Serruys P.W., and van der Steen A.F. A new imaging technique to study 3-d plaque and shear stress distribution in human coronary artery bifurcations in vivo. J. Biomech. 40 11 (2007) 2349-2357
72. Tang B.T., Cheng C.P., Draney M.T., Wilson N.M., Tsao P.S., Herfkens R.J., and Taylor C.A. Abdominal aortic hemodynamics in young healthy adults at rest and during lower limb exercise: quantification using image-based computer modeling. Am. J. Physiol. Heart Circ. Physiol. 291 2 (2006) H668-H676
73. Cebral J.R., Castro M.A., Burgess J.E., Pergolizzi R.S., Sheridan M.J., and Putman C.M. Characterization of cerebral aneurysms for assessing risk of rupture by using patient-specific computational hemodynamics models. AJNR - Am. J. Neuroradiol. 26 10 (2005) 2550-2559
74. Jou L.D., Wong G., Dispensa B., Lawton M.T., Higashida R.T., Young W.L., and Saloner D. Correlation between lumenal geometry changes and hemodynamics in fusiform intracranial aneurysms. AJNR - Am. J. Neuroradiol. 26 9 (2005) 2357-2363
75. Shojima M., Oshima M., Takagi K., Torii R., Hayakawa M., Katada K., Morita A., and Kirino T. Magnitude and role of wall shear stress on cerebral aneurysm: computational fluid dynamic study of 20 middle cerebral artery aneurysms. Stroke 35 11 (2004) 2500-2505
76. Wilson N.M., Wang K.C., Dutton R.W., and Taylor C.A. A software framework for creating patient specific geometric models from medical imaging data for simulation based medical planning of vascular surgery. Lect. Notes Comput. Sci. 2208 (2001) 449-456
77. Bekkers E.J., and Taylor C.A. Multiscale vascular surface model generation from medical imaging data using hierarchical features. IEEE Trans. Med. Imaging 27 3 (2008) 331-341
78. Cebral J.R., Castro M.A., Appanaboyina S., Putman C.M., Millan D., and Frangi A.F. Efficient pipeline for image-based patient-specific analysis of cerebral aneurysm hemodynamics: technique and sensitivity. IEEE Trans. Med. Imaging 24 4 (2005) 457-467
79. Zhang Y., Bazilevs Y., Goswami S., Bajaj C.L., and Hughes T.J.R. Patient-specific vascular NURBS modeling for isogeometric analysis of blood flow. Comput. Methods Appl. Mech. Engg. 196 29-30 (2007) 2943-2959
80. Moore J.A., Steinman D.A., and Ethier C.R. Computational blood flow modeling: errors associated with reconstructing finite element models from magnetic resonance images. J. Biomech. 31 2 (1998) 179-184
81. Marsden A.L., Vignon-Clementel I.E., Chan F.P., Feinstein J.A., and Taylor C.A. Effects of exercise and respiration on hemodynamic efficiency in CFD simulations of the total cavopulmonary connection. Ann. Biomed. Engrg. 35 2 (2007) 250-263
82. Migliavacca F., Dubini G., Bove E.L., and de Leval M.R. Computational fluid dynamics simulations in realistic 3-d geometries of the total cavopulmonary anastomosis: the influence of the inferior caval anastomosis. J. Biomech. Engrg. 125 6 (2003) 805-813
83. Marsden A.L., Feinstein J.A., and Taylor C.A. A computational framework for derivative-free optimization of cardiovascular geometries. Comput. Methods Appl. Mech. Engrg. 197 21-24 (2008) 1890-1905