Characterizing heterogeneous properties of cerebral aneurysms with unknown stress-free geometry: A precursor to in vivo identification

Journal of Biomechanical Engineering

Volumn 133, Issue 5, 2011, Pages

  Zhao, Xuefeng ^a,b   Raghavan, Madhavan L ^a   Lu, Jia ^a  

^a University of Iowa   (United States)

^b Indiana University Purdue University Indianapolis   (United States)

Author keywords

cerebral aneurysms; in vivo identification; pointwise identification method; tissue property

Indexed keywords

ANEURYSM TISSUES; BIOMECHANICAL BEHAVIOR; CEREBRAL ANEURYSMS; CONSTITUTIVE BEHAVIORS; DATA ACCURACY; DISPLACEMENT SOLUTION; ELASTIC PROPERTIES; FINITE ELEMENT ANALYSIS; HYPER ELASTIC; IN-VIVO; INVERSE ANALYSIS; MATERIAL HETEROGENEITY; MATERIAL PARAMETER; METRIC TENSOR; MOTION DATA; NODAL DISPLACEMENT; NON-LINEARITY; POINTWISE IDENTIFICATION METHOD; PRE-STRAIN; QUASI-STATIC; STRAIN ENERGY FUNCTIONS; SYSTOLIC PRESSURE; TISSUE PROPERTIES; TISSUE PROPERTY;

ANISOTROPY; BIOMECHANICS; MATERIALS; TENSORS; TISSUE;

IDENTIFICATION (CONTROL SYSTEMS);

ANISOTROPY; ARTICLE; BRAIN ARTERY ANEURYSM; DIASTOLIC BLOOD PRESSURE; ELASTICITY; GEOMETRY; IMAGE ANALYSIS; KINEMATICS; MATERIAL STATE; MATHEMATICAL MODEL; STRESS; SYSTOLIC BLOOD PRESSURE; BIOLOGICAL MODEL; BIOMECHANICS; BLOOD PRESSURE; COMPUTER SIMULATION; FINITE ELEMENT ANALYSIS; HUMAN; INTRACRANIAL ANEURYSM; MECHANICAL STRESS; NONLINEAR SYSTEM; PATHOLOGY; PATHOPHYSIOLOGY; SHEAR STRENGTH;

ANISOTROPY; BIOMECHANICS; BLOOD PRESSURE; COMPUTER SIMULATION; ELASTICITY; FINITE ELEMENT ANALYSIS; HUMANS; INTRACRANIAL ANEURYSM; MODELS, CARDIOVASCULAR; NONLINEAR DYNAMICS; SHEAR STRENGTH; STRESS, MECHANICAL;

EID: 79955755864     PISSN: 01480731     EISSN: 15288951     Source Type: Journal    
DOI: 10.1115/1.4003872     Document Type: Article

References (54)

1. Ronkainen, A., and Hernesniemi, J., 1992, "Subarachnoid Haemorrhage of Unknown Aetiology," Acta Neurochir. Suppl.-Wien-, 119(1-4), pp. 29-34. (Pubitemid 23022764)
2. Crompton, M. R., 1966, "Mechanism of Growth and Rupture in Cerebral Berry Aneurysms," Br. Med. J., 1, pp. 1138-1142.
3. Kassell, N. F., and Torner, J. C., 1983, "Size of Intracranial Aneurysms," Neurosurgery, 12, pp. 291-297. (Pubitemid 13161749)
4. Ujiie, H., Sato, K., Onda, H., Oikkawa, A., Kagawa, M., Atakakura, K., and Kobayashi, N., 1993, "Clinical Analysis of Incidentally Discovered Unruptured Aneurysms," Stroke, 24, pp. 1850-1856. (Pubitemid 23352715)
5. Wiebers, D. O., Whisnant, J. P., Sundt, T. M., and O'Fallon, W. M., 1987, "The Significance of Unruptured Intracranial Saccular Aneurysms," J. Neurosurg., 66, pp. 23-29. (Pubitemid 17214277)
6. The International Study of Unruptured Intracranial Aneurysms Investigators, 1998, "Unruptured Intracranial Aneurysms-Risk of Rupture and Risks of Surgical Intervention. International Study of Unruptured Intracranial Aneurysms Investigators," N. Engl. J. Med., 339, pp. 1725-1733.
7. Ujiie, H., Tachibana, H., Hiramatsu, O., Hazel, A. L., Matsumoto, T., Ogasawara, Y., Nakajima, H., Hori, T., Takakura, K., and Kajiya, F., 1999, "Effects of Size and Shape-Aspect Ratio on the Hemodynamics of Saccular Aneurysms: A Possible Index for Surgical Treatment of Intracranial Aneurysms," Neurosurgery, 45, pp. 119-130.
8. Ujiie, H., Tamano, Y., Sasaki, K., and Hori, T., 2001, "Is the Aspect Ratio a Reliable Index for Predicting the Rupture of a Saccular Aneurysm?," Neurosurgery, 48, pp. 495-503. (Pubitemid 32199597)
9. Raghavan, M. L., Ma, B., and Harbaugh, R. E., 2005, "Quantified Aneurysm Shape and Rupture Risk," J. Neurosurg., 102, pp. 355-362. (Pubitemid 43194088)
10. Kyriacou, S. K., and Humphrey, J. D., 1996, "Influence of Size, Shape and Properties on the Mechanics of Axisymmetric Saccular Aneurysms," J. Biomech., 29, pp. 1015-1022. (Pubitemid 26199768)
11. Shah, A. D., Harris, J. L., Kyriacou, S. K., and Humphrey, J. D., 1998, "Further Roles of Geometry and Properties in the Mechanics of Saccular Aneurysms," Comput. Methods Biomech. Biomed. Eng., 1, pp. 109-121.
12. Ma, B., Lu, J., Harbaugh, R. E., and Raghavan, M. L., 2007, "Nonlinear Anisotropic Stress Analysis of Anatomically Realistic Cerebral Aneurysms," ASME J. Biomech. Eng., 129, pp. 88-99.
13. Lu, J., Zhou, X., and Raghavan, M. L., 2008, "Inverse Method of Stress Analysis for Cerebral Aneurysms," Biomech. Model. Mechanobiol., 7, pp. 477-486.
14. Toth, M., Nadasy, G. L., Nyary, I., Kerényi, T., and Monos, E., 2000, "Are There Systemic Changes in the Arterial Biomechanics of Intracranial Aneurysm Patients?," Eur. J. Physiol., 439, pp. 573-578. (Pubitemid 30140150)
15. Anderson, T., 2006, "Arterial Stiffness or Endothelial Dysfunction as a Surrogate Marker of Vascular Risk," Can. J. Cardiol., 22, pp. 72B-80B. (Pubitemid 44963575)
16. Balocco, S., Camara, O., Vivas, E., Sola, T., Guimaraens, L., Gratama van Andel, H. A. F., Majoie, C. B., Pozoc, J. M., Bijnens, B. H., and Frangi, A. F., 2010, "Feasibility of Estimating Regional Mechanical Properties of Cerebral Aneurysms In Vivo," Med. Phys., 37, pp. 1689-1706.
17. Lu, J., and Zhao, X., 2009, "Pointwise Identification of Elastic Properties in Nonlinear Hyperelastic Membranes. Part I: Theoretical and Computational Developments," ASME J. Appl. Mech., 76, p. 061013.
18. Zhao, X., Chen, X., and Lu, J., 2009, "Pointwise Identification of Elastic Properties in Nonlinear Hyperelastic Membranes. Part II: Experimental Validation," ASME J. Appl. Mech., 76, p. 061014.
19. Govindjee, S., and Mihalic, P. A., 1996, "Computational Methods for Inverse Finite Elastostatics," Comput. Methods Appl. Mech. Eng., 136, pp. 47-57. (Pubitemid 126395593)
20. Govindjee, S., and Mihalic, P. A., 1998, "Computational Methods for Inverse Deformations in Quasi-Incompressible Finite Elasticity," Int. J. Numer. Methods Eng., 43, pp. 821-838.
21. Lu, J., Zhou, X., and Raghavan, M. L., 2007, "Inverse Elastostatic Stress Analysis in Pre-Deformed Biological Structures: Demonstration Using Abdominal Aortic Aneurysm," J. Biomech., 40, pp. 693-696. (Pubitemid 46107440)
22. Zhou, X., and Lu, J., 2008, "Inverse Formulation for Geometrically Exact Stress Resultant Shells," Int. J. Numer. Methods Eng., 74, pp. 1278-1302. (Pubitemid 351662981)
23. Zhao, X., Raghavan, M. L., and Lu, J., 2011, "Identifying Heterogeneous Anisotropic Properties in Cerebral Aneurysms: A Pointwise Approach," Biomech. Model. Mechanobiol., 10, pp. 177-189.
24. Zhou, X., and Lu, J., 2009, "Estimation of Vascular Open Configuration Using Finite Element Inverse Elastostatic Method," Eng. Comput., 25, pp. 49-59.
25. Zhou, X., Raghavan, M., Harbaugh, R., and Lu, J., 2010, "Patient-Specific Wall Stress Analysis in Cerebral Aneurysms Using Inverse Shell Model," Ann. Biomed. Eng., 38(2), pp. 478-489.
26. Gee, M. W., Reeps, C., Eckstein, H. H., and Wall, W. A., 2009, "Prestressing in Finite Deformation Abdominal Aortic Aneurysm Simulation," J. Biomech., 42, pp. 1732-1739.
27. Gee, M. W., Forster, Ch., and Wall, W. A., 2010, "A Computational Strategy for Prestressing Patient-Specific Biomechanical Problems Under Finite Deformation," International Journal for Numerical Methods in Biomedical Engineering, 26, pp. 52-72.
28. Lu, J., "A Covariant Constitutive Theory for Anisotropic Hyperelastic Solids With Initial Strains," Math. Mech. Solids, in press.
29. Noll, W., 1958, "A mathematical theory of the mechanical behavior of continuous media," Arch. Ration. Mech. Anal., 2, pp. 197-226.
30. Lee, E. H., 1969, "Elastic-Plastic Deformation at Finite Strains," ASME J. Appl. Mech., 36, pp. 1-6.
31. Maugin, G. A., and Epstein, M., 1998, "Geometrical Material Structure of Elastoplasticity," Int. J. Plast., 14, pp. 109-115. (Pubitemid 128396978)
32. Rodriguez, E. K., Hoger, A., and Mcculloch, A. D., 1994, "Stress-Dependent Finite Growth in Soft Elastic Tissues," J. Biomech., 27, pp. 455-467. (Pubitemid 24102058)
33. Taber, L. A., 1995, "Biomechanics of Growth, Remodeling, and Morphogenesis," Appl. Mech. Rev., 48, pp. 487-545.
34. Johnson, B. E., and Hoger, A., 1995, "The Use of a Virtual Configuration in Formulating Constitutive Equations for Residually Stressed Elastic Materials," J. Elast., 41, pp. 177-215.
35. Hoger, A., 1997, "Virtual Configurations and Constitutive Equations for Residually Stressed Bodies With Material Symmetry," J. Elast., 48, pp. 125-144. (Pubitemid 127506154)
36. Stålhand, J., Klarbring, A., and Karlsson, M., 2004, "Towards In Vivo Aorta Material Identification and Stress Estimation," Biomech. Model. Mechanobiol., 2, pp. 169-186. (Pubitemid 41444902)
37. Olsson, T., Stålhand, J., and Klarbring, A., 2006, "Modeling Initial Strain Distribution in Soft Tissues With Application to Arteries," Biomech. Model. Mechanobiol., 5, pp. 27-38. (Pubitemid 43261228)
38. Stålhand, J., 2009, "Determination of Human Arterial Wall Parameters From Clinical Data," Biomech. Model. Mechanobiol., 8, pp. 141-148.
39. Kroon, M., and Holzapfel, G. A., 2008, "A New Constitutive Model for Multi- Layered Collagenous Tissues," J. Biomech., 41, pp. 2766-2771.
40. Kroon, M., and Holzapfel, G. A., 2008, "Estimation of the Distribution of Anisotropic, Elastic Properties and Wall Stresses of Saccular Cerebral Aneurysms by Inverse Analysis," Proc. R. Soc. London, Ser. A, 464, pp. 807-825. (Pubitemid 351270079)
41. Canham, P. B., Finlay, H. M., and Tong, S. Y., 1996, "Stereological Analysis of the Layered Collagen of Human Intracranial Aneurysms," J. Microsc., 183, pp. 170-180. (Pubitemid 26284378)
42. Frosen, J., Piippo, A., Paetau, A., Kangasniemi, M., Niemela, M., Hernesniemi, J., and Jaaskelainen, J., 2004, "Remodeling of Saccular Cerebral Artery Aneurysm Wall Is Associated With Rupture: Histological Analysis of 24 Unruptured and 42 Ruptured Cases," Stroke, 35(10), pp. 2287-2293. (Pubitemid 39311251)
43. Kataoka, K., Taneda, M., Asai, T., Kinoshita, A., Ito, M., and Kuroda, R., 1999, "Structural Fragility and Inflammatory Response of Ruptured Cerebral Aneurysms: A Comparative Study Between Ruptured and Unruptured Cerebral Aneurysms," Stroke, 30(7), pp. 1396-1401. (Pubitemid 29296067)
44. Taylor, R. L., 2003, FEAP User Manual, v7.5.
45. Green, A. E., and Adkins, J. E., 1970, Large Elastic Deformations, 2nd ed., Clarendon, Oxford.
46. Doyle, T. C., and Ericksen, J. L., 1956, "Nonlinear Elasticity," Adv. Appl. Mech., 4, pp. 53-115.
47. Gill, P. E., Murray, W., and Saunders, M. A., 2005, "SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization," SIAM Rev., 47, pp. 99- 131. (Pubitemid 40535973)
48. Hayakawa, M., Katada, K., Anno, H., Imizu, S., Hayashi, J., Irie, K., Negoro, M., Kato, Y., Kanno, T., and Sano, H., 2005, "CT Angiography With Electrocardiographically Gated Reconstruction for Visualizing Pulsation of Intracranial Aneurysms: Identification of Aneurysmal Protuberance Presumably Associated With Wall Thinning," AJNR Am. J. Neuroradiol., 26(6), pp. 1366- 1369. (Pubitemid 43733430)
49. Yaghmai, V., Rohany, M., Shaibani, A., Huber, M., Soud, H., Russell, E. J., and Walker, M. T., 2007, "Pulsatility Imaging of Saccular Aneurysm Model by 64-Slice CT With Dynamic Multiscan Technique," J. Vasc. Interv. Radiol., 18(6), pp. 785-788. (Pubitemid 46805147)
50. Zhang, C., Craene, M., Villa-Uriol, M., Pozo, J. M., Bijnens, B. H., and Frangi, A. F., 2009, "Estimating Continuous 4D Wall Motion of Cerebral Aneurysms From 3D Rotational Angiography," Proceedings of the 12th International Conference on Medical Image Computing and Computer-Assisted Intervention: Part I, Springer-Verlag, London, pp. 140-147.
51. Zhang, C., Villa-Uriol, M. C., De Craene, M., Pozo, J., and Frangi, A., 2009, "Morphodynamic Analysis of Cerebral Aneurysm Pulsation From Time- Resolved Rotational Angiography," IEEE Trans. Med. Imaging, 28, pp. 1105- 1116.
52. Oubel, E., Cebral, J. R., De Craene, M., Blanc, R., Blasco, J., Macho, J., Putman, C. M., and Frangi, A. F., 2010, "Wall Motion Estimation in Intracranial Aneurysms," Physiol. Meas., 31(9), pp. 1119-1135.
53. Patel, V., Hoffmann, K. R., Ionita, C. N., Keleshis, C., Bednarek, D. R., and Rudin, R., 2008, "Rotational Micro-CT Using a Clinical C-Arm Angiography Gantry," Med. Phys., 35, pp. 4757-4764.
54. Raabe, A., Beck, J., Gerlach, R., Zimmermann, M., and Seifert, V., 2003, "Near-Infrared Indocyanine Green Video Angiography: A New Method for Intraoperative Assessment of Vascular Flow," Neurosurgery, 52, pp. 132-139. (Pubitemid 36098662)