On the prospect of patient-specific biomechanics without patient-specific properties of tissues

Journal of the Mechanical Behavior of Biomedical Materials

Volumn 27, Issue , 2013, Pages 154-166

  Miller, Karol ^a   Lu, Jia ^b  

^a UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

^b UNIVERSITY OF IOWA   (United States)

Author keywords

Aneurysm; Brain; Finite element method; Inverse problems; Mechanical properties; Patient specific modelling; Surgical simulation

Indexed keywords

ANEURYSM; BIO-MECHANICAL MODELS; EXPERIMENTAL APPROACHES; INTRACRANIAL ANEURYSMS; PATIENT-SPECIFIC MODELING; PATIENT-SPECIFIC MODELLING; STATICALLY DETERMINATE; SURGICAL SIMULATION;

BIOPHYSICS; BRAIN; COMPUTATIONAL MECHANICS; DIFFERENTIAL EQUATIONS; FINITE ELEMENT METHOD; HISTOLOGY; INVERSE PROBLEMS; MECHANICAL PROPERTIES; NEUROSURGERY; TISSUE;

BIOMECHANICS;

ARTICLE; BEAR; BIOMECHANICS; FRUIT; HUMAN; INTRACRANIAL ANEURYSM; INTRAOPERATIVE PERIOD; KINEMATICS; MEMBRANE STRUCTURE; NEUROSURGERY; PRIORITY JOURNAL; SOLUTION AND SOLUBILITY; STRESS; WALL STRESS;

ANEURYSM; BRAIN; FINITE ELEMENT METHOD; INVERSE PROBLEMS; MECHANICAL PROPERTIES; PATIENT-SPECIFIC MODELLING; SURGICAL SIMULATION;

BIOMECHANICAL PHENOMENA; BRAIN; FINITE ELEMENT ANALYSIS; HUMANS; IMAGE PROCESSING, COMPUTER-ASSISTED; INDIVIDUALIZED MEDICINE; MECHANICAL PROCESSES;

EID: 84884137425     PISSN: 17516161     EISSN: 18780180     Source Type: Journal    
DOI: 10.1016/j.jmbbm.2013.01.013     Document Type: Article

References (65)

1. Balci S.K., Golland P., WM, W.I., 2007. Non-rigid Groupwise Registration using B-Spline Deformation Model, Medical Image Computing and Computer-Assisted Intervention (MICCAI 2007), Brisbane, Australia, pp. 105-121.
2. Bathe K.J. Finite Element Procedures 1996, Prentice-Hall, New Jersey.
3. Bilston L.E. Neural Tissue Biomechanics, Studies in Mechanobiology, Tissue Engineering and Biomaterials 2011, Springer.
4. Bucholz R., Macneil W., Mcdurmont L. The operating room of the future. Clinical Neurosurgery 2004, 51:228-237.
5. Canham P.B., Ferguson G.G. A mathematical model for the mechanics of saccular aneurysms. Neurosurgery 1985, 17:291-295.
6. Canny J. A computational approach to edge detection. IEEE Transactions on Pattern Analysis and Machine Intelligence 1986, 8:679-698.
7. Ciarlet, P.G., 1988. Mathematical Elasticity: Three-Dimensional Elasticity. North Holland, The Netherlands.
8. Fedorov, A., Billet, E., Prastawa, M., Gerig, G., Radmanesh, A., Warfield, S., Kikinis, R., Chrisochoides, N., 2008. Evaluation of brain MRI alignment with the robust Hausdorff distance measures. In: Fourth International Symposium on Advances in Visual Computing. Springer Verlag, Las Vegas, NV, USA, pp. 594-603.
9. Ferrant M., Nabavi A., Macq B., Jolesz F.A., Kikinis R., Warfield S.K. Registration of 3-D intraoperative MR images of the brain using a finite-element biomechanical model. IEEE Transactions on Medical Imaging 2001, 20:1384-1397.
10. Fung Y.C. Biomechanics. Mechanical Properties of Living Tissues 1993, Springer-Verlag, New York. second ed.
11. Garlapati R.R., Joldes G.R., Wittek A., Lam J., Weisenfeld N., Hans A., SW W., Miller K. Objective evaluation of intraoperative neuroimage registration. Computational Biomechanics for Medicine. Models, Algorithms and Implementation 2012, Springer, New York. A. Wittek, K. Miller, P. Nielsen (Eds.).
12. Gee M.W., Forster C., Wall W.A. A computational strategy for prestressing patient-specific biomechanical problems under finite deformation. International Journal for Numerical Methods in Biomedical Engineering 2010, 26:52-72.
13. Gere J.M., Timoshenko S.P. Mechanics of Materials 1997, PWS Pub. Co, Boston.
14. Goldberg M.A. A linearized large deformation analysis for rotationally symmetric membranes. ASME Journal of Applied Mechanics 1965, 32:444-445.
15. Govindjee S., Mihalic P.A. Computational methods for inverse finite elastostatics. Computer Methods in Applied Mechanics and Engineering 1996, 136:47-57.
16. Govindjee S., Mihalic P.A. Computational methods for inverse deformations in quasi-incompressible finite elasticity. International Journal for Numerical Methods in Engineering 1998, 43:821-838.
17. Humphrey J.D., Canham P.B. Structure, mechanical properties, and mechanics of intracranial saccular aneurysms. Journal of Elasticity 2000, 61:49-81.
18. Humphrey J.D., Kyriacou S.K. The use of Laplace's equation in aneurysms mechanics. Neurological Research 1996, 18:204-208.
19. Joldes G., Wittek A., Miller K. Suite of finite element algorithms for accurate computation of soft tissue deformation for surgical simulation. Medical Image Analysis 2009, 13:912-919.
20. Joldes G.R., Wittek A., Miller K. Computation of intra-operative brain shift using dynamic relaxation. Computer Methods in Applied Mechanics and Engineering 2009, 198:3313-3320.
21. Joldes G.R., Wittek A., Miller K., Morriss L. Realistic and efficient brain-skull interaction model for brain shift computation. Computational Biomechanics for Medicine III Workshop 2008, 95-105. MICCAI, New-York. K. Miller, P.M.F. Nielsen (Eds.).
22. Kyriacou S.K., Humphrey J.D. Influence of size, shape and properties on the mechanics of axisymmetric saccular aneurysms. Journal of Biomechanics 1996, 29:1015-1022.
23. Lu J., Zhao X.F. Pointwise identification of elastic properties in nonlinear hyperelastic membranes-Part I: theoretical and computational developments. Journal of Applied Mechanics -T Asme 2009, 76. 061013/061011-061013/061010.
24. Lu J., Zhou X.L., Raghavan M.L. Computational method for inverse elastostatics for anisotropic hyperelastic solids. International Journal for Numerical Methods in Engineering 2007, 69:1239-1261.
25. Lu J., Zhou X.L., Raghavan M.L. Inverse elastostatics stress analysis in pre-deformed biological structures: demonstration using abdominal aortic aneurysms. Journal of Biomechanics 2007, 40:693-696.
26. Lu J., Zhou X.L., Raghavan M.L. Inverse method of stress analysis for cerebral aneurysms. Biomechanics and Modeling in Mechanobiology 2008, 7:477-486.
27. McAnearney, S., Fedorov, A., Joldes, G., Hata, N., Tempany, C., Miller, K., Wittek, A., 2010. The effects of Young's modulus on predicting prostate deformation for MRI-guided interventions. In: Computation Biomechanics for Medicine V. The Worskshop Affiliated with Medical Image Computing and Computer Assisted Intervention Conference MICCAI 2010, Beijing, p. 11.
28. Miller K. Constitutive modelling of abdominal organs (Technical note). Journal of Biomechanics 2000, 33:367-373.
29. Miller K. How to test very soft biological tissues in extension. Journal of Biomechanics 2001, 34:651-657.
30. Miller, K., 2005a. Biomechanics without mechanics: calculating soft tissue deformation without differential equations of equilibrium. In: Middleton, J., Shrive, N., Jones, M. (Eds.). In: Fifth Symposium on Computer Methods in Biomechanics and Biomedical Engineering CMBBE2004. First Numerics, Madrid, Spain.
31. Miller K. Method of testing very soft biological tissues in compression. Journal of Biomechanics 2005, 38:153-158.
32. Miller K. Biomechanics of the Brain 2011, Springer, New York.
33. Miller K., Wittek A. Neuroimage registration as displacement-zero traction problem of solid mechanics (lead lecture). Computational Biomechanics for Medicine MICCAI-Associated Workshop 2006, 1-14. MICCAI, Copenhagen. K. Miller, D. Poulikakos (Eds.).
34. Miller K., Wittek A., Joldes G., Horton A., Dutta-Roy T., Berger J., Morriss L. Modelling brain deformations for computer-integrated neurosurgery. International Journal for Numerical Methods in Biomedical Engineering 2010, 26:117-138.
35. Miller K., Chinzei K. Mechanical properties of brain tissue in tension. Journal of Biomechanics 2002, 35:483-490.
36. Mostayed A., Garlapati R.R., Joldes G.R., Wittek A., Kikinis R., Warfield S.K., Miller K. Intra-operative update of neuro-images: comparison of performance of image warping using patient-specific biomechanical model and BSpline image registration. Computational Biomechanics for Medicine VII 2012, Springer, Nice, France, in print. A. Wittek, K. Miller, P.M.F. Nielsen (Eds.).
37. Muthupillai R., Lomas D.J., Rossman P.J., Greenleaf J.F., Manduca A., Ehman R.L. Magnetic-resonance elastography by direct visualization of propagating acoustic strain waves. Science 1995, 269:1854-1857.
38. Nakaji P., Speltzer R.F. Innovations in Surgical Approach: The Marriage of Technique, Technology, and Judgement. Clinical Neurosurgery 2004, 51:177-185.
39. Nowinski W.L. Modified Talairach Landmarks. Acta Neurochirurgica 2001, 143:1045-1057.
40. Oden J.T., Belytschko T., Babuska I., Hughes T.J.R. Research directions in computational mechanics. Computer Methods in Applied Mechanics and Engineering 2003, 192:913-922.
41. Rohlfing T., Maurer C.R., Bluemke D.A., Jacobs M.A. Volume-preserving nonrigid registration of MR breast images using free-form deformation with an incompressibility constraint. IEEE Transactions on Medical Imaging 2003, 22:730-741.
42. Rossettos J.N. Nonlinear Membrane Solutions for Symmetrically Loaded Deep Membranes of Revolution 1966, NASA.
43. Rueckert D., Sonoda L.I., Hayes C., Hill D.L., Leach M.O., Hawkes D.J. Nonrigid registration using free-form deformations: application to breast MR images. IEEE Transactions on Medical Imaging 1999, 18:712-721.
44. Sarvazyan A.P., Rudenko O.V., Swanson S.D., Fowlkes J.B., Emelianov S.Y. Shear wave elasticity imaging: a new ultrasonic technology of medical diagnostics. Ultrasound in Medicine and Biology 1998, 24:1419-1435.
45. Seshaiyer P., Hsu F.P.K., Shah A.D., Kyriacou S.K., Humphrey J.D. Multiaxial mechanical behavior of human saccular aneurysms. Computer Methods in Biomedical Engineering 2001, 4:281-289.
46. Shah A.D., Harris J.L., Kyriacou S.K., Humphrey J.D. Further roles of geometry and properties in the mechanics of saccular aneurysms. Computational Methods in Biomechanical and Biomedical Engineering 1998, 1:109-121.
47. Simo J.C., Fox D.D. On a stress resultant geometrically exact shell model Part I: Formulation and optimal parametrization. Computer Methods in Applied Mechanics and Engineering 1989, 72:267-304.
48. Simo J.C., Fox D.D. On a stress resultant geometrically exact shell model. Part II: The linear theory; computational aspects. Computer Methods in Applied Mechanics and Engineering 1989, 73:53-92.
49. Simo J.C., Fox D.D., Rifai M.S. On a stress resultant geometrically exact shell model Part III: Computational aspects of the nonlinear-theory. Computer Methods in Applied Mechanics and Engineering 1990, 79:21-70.
50. Sinkus R., Daire J.L., Van Beers B.E., Vilgrain V. Elasticity reconstruction: Beyond the assumption of local homogeneity. Comptes Rendus Mecanique 2010, 338:474-479.
51. Timoshenko S.P. Strength of Materials 1981, Krieger Pub. Co.
52. Warfield S.K., Haker S.J., Talos I.-F., Kemper C.A., Weisenfeld N., Mewes U.J., Goldberg-Zimring D., Zou K.H., Westin C.-F., Wells W.M., Tempany C.M.C., Golby A., Black P.M., Jolesz F.A., Kikinis R. Capturing intraoperative deformations: research experience at Brigham and Womens's hospital. Medical Image Analysis 2005, 9:145-162.
53. Warfield S.K., Haker S.J., Talos F., Kemper C.A., Weisenfeld N., Mewes A.U.J., Goldberg-Zimring D., Zou K.H., Westin C.F., Wells W.M., Tempany C.M.C., Golby A., Black P.M., Jolesz F.A., Kikinis R. 2005. Capturing intraoperative deformations: research experience at Brigham and Women's Hospital. Medical Image Analysis 2005, 9:145-162.
54. Wittek A., Hawkins T., Miller K. On the unimportance of constitutive models in computing brain deformation for image-guided surgery. Biomechanics and Modeling in Mechanobiology 2009, 8:77-84.
55. Wittek A., Joldes G., Couton M., Warfield S.K., Miller K. Patient-specific non-linear finite element modelling for predicting soft organ deformation in real-time; application to non-rigid neuroimage registration. Progress in Biophysics and Molecular Biology 2010, 103:292-303.
56. Wittek A., Miller K., Kikinis R., Warfield S.K. Patient-specific model of brain deformation: application to medical image registration. Journal of Biomechanics 2007, 40:919-929.
57. Wu C.H., Peng D.Y.P. On the asymptotically spherical deformation of arbitrary membranes of revolution fixed along an edge and inflated by large pressures-a nonlinear boundary layer phenomenon. SIAM Journal of Applied Mathematics 1972, 23:133-152.
58. Xu L., Lin Y., Han J.C., Xi Z.N., Shen H., Gao P.Y. Magnetic resonance elastography of brain tumors: preliminary results. Acta Radiologica 2007, 48:327-330.
59. Yamada T. Finite element procedure of initial shape determination for rubber-like materials. Research Laboratory of Engineering Materials, Tokyo Institute of Technology 1995.
60. Zhao C., Shi W., Deng Y. A new Hausdorff distance for image matching. Pattern Recognition Letters 2005, 26:581-586.
61. Zhao X.F., Chen X.L., Lu J. Pointwise identification of elastic properties in nonlinear hyperelastic membranes-Part II: Experimental validation. Journal of Applied Mechanics -T Asme 2009, 76. 061014/061011-061014/061018.
62. Zhao X.F., Raghavan M.L., Lu J. Characterizing heterogeneous elastic properties of cerebral aneurysms with unknown stress-free geometry-a precursor to in vivo identification. ASME Journal of Biomechanical Engineering 2011, 133. 051008/051001-051008/051012.
63. Zhao X.F., Raghavan M.L., Lu J. Identifying heterogeneous anisotropic properties in cerebral aneurysms: a pointwise approach. Biomechanics and Modeling in Mechanobiology 2011, 10:177-189.
64. Zhou X., Raghavan M.L., Harbaugh R.E., Lu J. Patient-specific wall stress analysis in cerebral aneurysms using inverse shell model. Annals of Biomedical Engineering 2010, 38:478-489.
65. Zhou X.L., Lu J. Inverse formulation for geometrically exact stress resultant shells. International Journal for Numerical Methods in Engineering 2008, 74:1278-1302.