Coupling the hemodynamic environment to the evolution of cerebral aneurysms: Computational framework and numerical examples

Journal of Biomechanical Engineering

Volumn 131, Issue 10, 2009, Pages

  Watton, Paul N ^a   Raberger, Nikolaus B ^b   Holzapfel, Gerhard A ^c,d   Ventikos, Yiannis ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b ETH ZURICH   (Switzerland)

^c GRAZ UNIVERSITY OF TECHNOLOGY   (Austria)

^d ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

ARTERIAL WALL; BIOLOGICAL PROCESS; BLOOD FLOW; CELLULAR LEVELS; CEREBRAL ANEURYSMS; COMPUTATIONAL FRAMEWORK; EVOLUTION MODELS; ILLUSTRATIVE EXAMPLES; MECHANICAL FORCE; MICROSTRUCTURAL MODELS; NUMERICAL EXAMPLE; PHYSIOLOGICAL MECHANISMS; WALL SHEAR STRESS; WSS GRADIENTS;

BIOLOGY; HEMODYNAMICS; HYDRODYNAMICS; SELF ASSEMBLY; THREE DIMENSIONAL;

ENDOTHELIAL CELLS;

COLLAGEN; COLLAGEN FIBER; ELASTIN;

ARTERIAL WALL THICKENING; ARTICLE; BIOLOGICAL MODEL; BLOOD FLOW; BRAIN ARTERY ANEURYSM; COMPUTATIONAL FRAMEWORK; ELASTICITY; ENDOTHELIUM CELL; HEMODYNAMICS; INTERNAL CAROTID ARTERY; SHEAR STRESS; BIOLOGY; BIOMECHANICS; BLOOD FLOW VELOCITY; BLOOD PRESSURE; BLOOD RHEOLOGY; COMPUTER SIMULATION; HUMAN; INTRACRANIAL ANEURYSM; METABOLISM; METHODOLOGY; PATHOPHYSIOLOGY; PHYSIOLOGY;

BIOMECHANICS; BLOOD FLOW VELOCITY; BLOOD PRESSURE; COLLAGEN; COMPUTATIONAL BIOLOGY; COMPUTER SIMULATION; ELASTICITY; ELASTIN; ENDOTHELIAL CELLS; HEMODYNAMICS; HEMORHEOLOGY; HUMANS; INTRACRANIAL ANEURYSM; MODELS, CARDIOVASCULAR;

EID: 73949161102     PISSN: 01480731     EISSN: 15288951     Source Type: Journal    
DOI: 10.1115/1.3192141     Document Type: Article

References (43)

1. Brisman, J. L., Song, J. K., and Newell, D. W., 2006, "Cerebral Aneurysms," N. Engl. J. Med., 355, pp. 928-939.
2. Peters, D. G., Kassam, A. B., Feingold, E., Heidrich-O'Hare, E., Yonas, H., Ferrell, R. E., and Brufsky, A., 2001, "Molecular Anatomy of an Intracranial Aneurysm Coordinated Expression of Genes Involved in Wound Healing and Tissue Remodeling," Stroke, 32, pp. 1036-1042. (Pubitemid 32285179)
3. Meng, H., Wang, Z., Hoi, Y., Gao, L., Metaxa, E., Swart, D. D., and Kolega, J., 2007, "Complex Hemodynamics at the Apex of an Arterial Bifurcation Induces Vascular Remodelling Resembling Cerebral Aneurysm Initiation," Stroke, 38, pp. 1924-1931. (Pubitemid 46847270)
4. Kondo, S., Hashoimotot, N., Kikuchi, H., Hazama, F., Nagata, I., and Kataoka, H., 1997, "Cerebral Aneurysms Arising at Nonbranching Sites. An Experimental Study," Stroke, 28, pp. 398-404. (Pubitemid 27097012)
5. Ahn, S., Shin, D., Tateshima, S., Tanishita, K., Vinuela, F., and Sinha, S., 2007, "Fluid-Induced WSS in Anthropomorphic Brain Aneurysm Models: MR Phase-Contrast Study at 3T," J. Magn. Reson Imaging, 25, pp. 1120-1130. (Pubitemid 46870267)
6. Hoi, Y., Meng, H., Woodward, S. H., Bendok, B. R., Hamel, R. A., Guterman, L. R., and Hopkins, L. N., 2004, "Effects of Arterial Geometry on Aneurysm Growth: Three Dimensional Computational Fluid Dynamics Study," J. Neurosurg., 101, pp. 676-681. (Pubitemid 43186429)
7. Nakatani, H., Hashimoto, N., Kang, Y., Yamazoe, N., Kikuchi, H., Yamaguchi, S., and Niimi, H., 1991, "Cerebral Blood Flow Patterns at Major Vessel Bifurcations and Aneurysms in Rats," J. Neurosurg., 74, pp. 258-262.
8. Tateshima, S., Murayama, Y., Villablanca, J. P., Morino, T., Nomura, K., Tanishita, K., and Viuela, F., 2003, "In Vitro Measurement of Fluid-Induced WSS in Unruptured Cerebral Aneurysms Harboring Blebs," Stroke, 34, pp. 187-192. (Pubitemid 36070820)
9. DePaola, N., Gimbrone, Jr., M. A., Davies, P. F., and Dewey, Jr., C. F., 1992, "Vascular Endothelium Responds to Fluid Shear Stress Gradients," Arterioscler. Thromb., 12, pp. 1254-1257.
10. Shojima, M., Oshima, M., Takagi, K., Torii, R., Hayakawa, M., Katada, K., Morita, A., and Kirino, T., 2004, "Magnitude and Role of WSS on Cerebral Aneurysm: Computational Fluid Dynamic Study of 20 Middle Cerebral Artery Aneurysms," Stroke, 35, pp. 2500-2505. (Pubitemid 39458407)
11. Watton, P. N., Hill, N. A., and Heil, M., 2004, "A Mathematical Model for the Growth of the Abdominal Aortic Aneurysm," Biomech. Model. Mechanobiol., 3, pp. 98-113. (Pubitemid 40265574)
12. Baek, S., Rajagopal, K. R., and Humphrey, J. D., 2005, "Competition Between Radial Expansion and Thickening in the Enlargement of an Intracranial Saccular Aneurysm," J. Elast., 80, pp. 13-31.
13. Watton, P. N., and Hill, N. A., 2009, "Evolving Mechanical Properties of a Model of Abdominal Aortic Aneurysm," Biomech. Model. Mechanobiol., 8, pp. 25-42.
14. Kroon, M., and Holzapfel, G. A., 2007, "A Model for Saccular Cerebral Aneurysm Growth by Collagen Fibre Remodelling," J. Theor. Biol., 247, pp. 775-787. (Pubitemid 47081034)
15. Kroon, M., and Holzapfel, G. A., 2009, "A Theoretical Model for Fibroblast-Controlled Growth of Saccular Cerebral Aneurysms," J. Theor. Biol., 26(2), pp. 133-164.
16. Watton, P. N., Ventikos, Y., and Holzapfel, G. A., 2009, "Modelling the Growth and Stabilisation of Cerebral Aneurysms," Math. Med. Biol., 26(2), pp. 133-164.
17. Watton, P. N., and Ventikos, Y., 2009, "Modelling Evolution of Saccular Cerebral Aneurysms," J. Strain Anal., 44(5), pp. 375-389.
18. Chatziprodromou, I., Tricoli, A., Poulikakos, D., and Ventikos, Y., 2007, "Haemodynamics and Wall Remodelling of a Growing Cerebral Aneurysm: A Computational Model," J. Biomech., 40, pp. 412-426. (Pubitemid 44958572)
19. Feng, Y., Wada, S., Tsubota, K., and Yamaguchi, T., 2004, "Growth of Intracranial Aneurysms Arising From Curved Vessels Under the Influence of Elevated Wall Shear Stress - A Computer Simulation Study," JSME Int. J., Ser. C, 47, pp. 1035-1042. (Pubitemid 40345731)
20. Feng, Y., Wada, S., Ishikawa, T., Tsubota, K., and Yamaguchi, T., 2008, "A Rule-Based Computational Study on the Early Progression of Intracranial Aneurysms Using Fluid-Structure Interaction: Comparison Between Straight Model and Curved Model," J. Biomech. Sci. Eng., 3, pp. 124-137.
21. Holzapfel, G. A., Gasser, T. C., and Ogden, R. W., 2000, "A New Constitutive Framework for Arterial Wall Mechanics and a Comparative Study of Material Models," J. Elast., 61, pp. 1-48.
22. Wempner, G., 1973, Mechanics of Solids, McGraw-Hill, New York.
23. Heil, M., 1996, "The Stability of Cylindrical Shells Conveying Viscous Flow," J. Fluids Struct., 10, pp. 173-196.
24. Holzapfel, G. A., 2000, Nonlinear Solid Mechanics. A Continuum Approach for Engineering, Wiley, Chichester.
25. Watton, P. N., 2002, "Mathematical Modelling of the Abdominal Aortic Aneurysm," Ph.D. thesis, University of Leeds, Leeds, UK.
26. Humphrey, J. D., 1999, "Remodelling of a Collagenous Tissue at Fixed Lengths," ASME J. Biomech. Eng., 121, pp. 591-597.
27. Gundiah, N., Ratcliffe, M. B., and Pruitt, L. A., 2007, "Determination of Strain Energy Function for Arterial Elastin: Experiments Using Histology and Mechanical Tests," J. Biomech., 40, pp. 586-594. (Pubitemid 46107448)
28. Watton, P. N., Ventikos, Y., and Holzapfel, G. A., 2009, "Modelling the Mechanical Response of Elastin for Arterial Tissue," J. Biomech., 42, pp. 1320-1325.
29. Monson, K. L., Goldsmith, W., Barbaro, N. M., and Manley, G. T., 2005, "Significance of Source and Size in the Mechanical Response of Human Cerebral Blood Vessels," J. Biomech., 38, pp. 737-744. (Pubitemid 40248460)
30. Monson, K. L., Goldsmith, W., Barbaro, N. M., and Manley, G. T., 2003, "Axial Mechanical Properties of Fresh Human Cerebral Blood Vessels," ASME J. Biomech. Eng., 125, pp. 288-294. (Pubitemid 36506144)
31. Hansen, F., Mangell, P., Sonesson, B., and Lanne, T., 1995, "Diameter and Compliance in the Human Common Carotid Artery - Variations With Age and Sex," Ultrasound Med. Biol., 21, pp. 1-99.
32. Patakar, H. S., 1980, Numerical Heat Transfer and Fluid Flow (Hemisphere Series on Computational Methods in Mechanics and Thermal Science), Taylor & Francis, London.
33. Ferziger, J., and Milovan, P., 2001, Computational Methods for Fluid Dynamics, 3rd ed., Springer, New York.
34. Hutchinson, B. R., and Raithby, G. D., 1986, "A Multigrid Method Based on the Additive Correction Strategy," Numer. Heat Transfer, 9, pp. 511-537.
35. Oshima, M., Torii, R., Kobayashia, T., Taniguchic, N., and Takagid, K., 2001, "Finite Element Simulation of Blood Flow in the Cerebral Artery," Comput. Methods Appl. Mech. Eng., 191, pp. 661-671.
36. Albayrak, R., Degirmenci, B., Acar, M., Haktanir, A., Colbay, M., and Yaman, M., 2007, "Doppler Sonography Evaluation of Flow Velocity and Volume of the Extracranial Internal Carotid and Vertebral Arteries in Healthy Adults," J. Clin. Ultrasound, 35, pp. 27-33. (Pubitemid 46106453)
37. Nissen, R., Cardinale, G. J., and Udenfriend, S., 1978, "Increased Turnover of Arterial Collagen in Hypertensive Rats," Proc. Natl. Acad. Sci. U.S.A., 75, pp. 451-453. (Pubitemid 8287545)
38. Abdul-Hussien, H., Soekhoe, R. G., Weber, E., von der Thüsen, J. H., Kleemann, R., Mulder, A., van Bockel, J. H., Hanemaaijer, R., and Lindeman, J. H., 2007, "Collagen Degradation in the Abdominal Aortic Aneurysm: A Conspiracy of Matrix Metalloproteinase and Cysteine Collagenases," Am. J. Pathol., 170(3), pp. 809-817. (Pubitemid 47339351)
39. Wang, J. H. C., and Thampaty, B. P., 2006, "An Introductory Review of Cell Mechanobiology," Biomech. Model. Mechanobiol., 5, pp. 1-16.
40. Gupta, V., and Grande-Allen, K. J., 2006, "Effects of Static and Cyclic Loading in Regulating Extracellular Matrix Synthesis by Cardiovascular Cells," Cardiovasc. Res., 72, pp. 375-383. (Pubitemid 44755053)
41. Chiquet, M., Renedo, A. S., Huber, F., and Fluck, M., 2003, "How Do Fibroblasts Translate Mechanical Signals Into Changes in Extracellular Matrix Production?," Matrix Biol., 22, pp. 73-80. (Pubitemid 36444509)
42. Sluijter, J. P. G., Smeets, M. B., Velema, E., Pasterkamp, G., and de Kleijn, D. P. V., 2004, "Increase in Collagen Turnover But Not in Collagen Fiber Content Is Associated With Flow-Induced Arterial Remodeling," J. Vasc. Res., 41, pp. 546-555. (Pubitemid 39656680)
43. Mimata, C., Kitaoka, M., Nagahiro, S., Iyama, K., Hori, H., Yoshioka, H., and Ushio, Y., 1997, "Differential Distribution and Expressions of Collagens in the Cerebral Aneurismal Wall," Acta Neuropathol., 94, pp. 197-206. (Pubitemid 27395320)