3D hierarchical geometric modeling and multiscale FE analysis as a base for individualized medical diagnosis of bone structure

Bone

Volumn 48, Issue 4, 2011, Pages 693-703

  Podshivalov, L ^a   Fischer, A ^a   Bar Yoseph, P Z ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Diagnostic system; FE analysis; High resolution medical imaging; Multiscale modeling

Indexed keywords

ARTICLE; BIOMECHANICS; BONE STRUCTURE; COMPUTER ASSISTED DIAGNOSIS; DIAGNOSTIC VALUE; FEASIBILITY STUDY; FINITE ELEMENT ANALYSIS; IMAGE ANALYSIS; IMAGE PROCESSING; IMAGE RECONSTRUCTION; INDIVIDUALIZATION; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; MICRO-COMPUTED TOMOGRAPHY; NUCLEAR MAGNETIC RESONANCE IMAGING; POROSITY; PROGNOSIS; RELIABILITY; SIMULATION; THREE DIMENSIONAL IMAGING; TRABECULAR BONE;

BONE AND BONES; FINITE ELEMENT ANALYSIS; HUMANS; MODELS, ANATOMIC;

EID: 79952708379     PISSN: 87563282     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.bone.2010.12.022     Document Type: Article

References (44)

1. Rho J.-Y., Kuhn-Spearing L., Zioupos P. Mechanical properties and the hierarchical structure of bone. Med Eng Phys 1998, 20:92-102.
2. Müller R., Hildebrand T., Rüegsegger P. Non-invasive bone biopsy: a new method to analyse and display the three-dimensional structure of trabecular bone. Phys Med Biol 1994, 39:145-164.
3. Mueller T.L., Stauber M., Kohler T., Eckstein F., Müller R., Van Lenthe G.H. Non-invasive bone competence analysis by high-resolution pQCT: an in vitro reproducibility study on structural and mechanical properties at the human radius. Bone 2009, 44:364-371.
4. Hildebrand T., Laib A., Müller R., Dequeker J., Rüegsegger P. Direct three-dimensional morphometric analysis of human cancellous bone: microstructural data from spine, femur, iliac crest, and calcaneus. J Bone Miner Res 1999, 14:1167-1174.
5. Wehrli F.W., Song H.K., Saha P.K., Wright A.C. Quantitative MRI for the assessment of bone structure and function. NMR Biomed 2006, 19:731-764.
6. Kazakia G., Majumdar S. New imaging technologies in the diagnosis of osteoporosis. Rev Endocr Metab Disord 2006, 7:67-74.
7. Aboudi J. Mechanics of composite materials 1991, Elsevier.
8. Zaoui A. Continuum micromechanics: survey. J Eng Mech 2002, 128:808-816.
9. Bensoussan A., Lions J.-L., Papanicolaou G. Asymptotic analysis for periodic structures 1978, North-Holland Pub. Co.
10. Bendsoe M.P., Kikuchi N. Generating optimal topologies in structural design using a homogenization method. Comput Methods Appl Mech Eng 1988, 71:197-224.
11. Hollister S.J., Fyhrie D.P., Jepsen K.J., Goldstein S.A. Application of homogenization theory to the study of trabecular bone mechanics. J Biomech 1991, 24:825-839.
12. Hollister S.J., Brennan J.M., Kikuchi N. A homogenization sampling procedure for calculating trabecular bone effective stiffness and tissue level stress. J Biomech 1994, 27:433-444.
13. Van Rietbergen B. Micro-FE analyses of bone: state of the art. Noninvasive assessment of trabecular bone architecture and the competence of bone 2001, Springer. S.B. Majumdar, K. Brian (Eds.).
14. Carey G.F., Jiang B.N. Element-by-element linear and nonlinear solution schemes. Commun Appl Numer Methods 1986, 2:145-153.
15. Fyhrie D.P., Hamid M.S., Kuo R.F., Lang S.S. Direct three-dimensional finite element analysis of human vertebral cancellous bone. 38th meeting of Orthopaedic Research Society. Washington, DC 1992, 551.
16. Adams M.F., Bayraktar H.H., Keaveny T.M., Papadopoulos P. Ultrascalable implicit finite element analyses in solid mechanics with over a half a billion degrees of freedom. Proceedings of the 2004 ACM/IEEE conference on Supercomputing: IEEE Computer Society 2004, 34.
17. Arbenz P., van Lenthe G., Mennel U., Müller R., Sala M. Multi-level micro-finite element analysis for human bone structures. Applied parallel computing. State of the art in scientific computing 2010, 240-250. Springer Berlin, Heidelberg. B. Kågström, E. Elmroth, J. Dongarra, J. Wasniewski (Eds.).
18. Podshivalov L., Holdstein Y., Fischer A., Bar-Yoseph P.Z. Towards a multi-scale computerized bone diagnostic system: 2D micro-scale finite element analysis. Commun Numer Methods Eng 2009, 25:733-749.
19. Podshivalov L., Fischer A., Bar-Yoseph P.Z. Multiresolution 2D geometric meshing for multiscale finite element analysis of bone micro-structures. Virtual Phys Prototyping 2010, 5:33-43.
20. Liu W.K., Park H.S., Qian D., Karpov E.G., Kadowaki H., Wagner G.J. Bridging scale methods for nanomechanics and materials. Comput Meth Appl Mech Eng 2006, 195:1407-1421.
21. Zienkiewicz O.C., Taylor R.L. The finite element method for solid and structural mechanics 2005, Butterworth-Heinemann. 6 ed.
22. Toselli A., Widlund O. Domain decomposition methods - algorithms and theory 2005, Springer.
23. Gonzalez R.C., Woods R.E. Digital image processing 1992, Addison-Wesley Longman Publishing Co., Inc.
24. Malladi R., Sethian J.A. Image processing via level set curvature flow. Proc Natl Acad Sci USA 1995, 92:7046-7050.
25. Miropolsky A., Fischer A. Extended geometric filter for reconstruction as a basis for computational inspection. J Manuf Sci Eng 2009, 131:1-8.
26. Azernikov S., Miropolsky A., Fischer A. Surface reconstruction of freeform objects based on multiresolution volumetric method. J Comput Inf Sci Eng 2003, 3:334-338.
27. Azernikov S., Fischer A. A new volume warping method for surface reconstruction. J Comput Inf Sci Eng 2006, 6:355-363.
28. Morris D. Automated preparation, calibration, and simulation of deformable objects. Stanford University Department of Computer Science 2007.
29. Luebke D., Reddy M., Cohen J.D., Varshney A., Watson B., Huebner R. Level of detail for 3D graphics 2002, Morgan Kaufmann.
30. Samet H. The design and analysis of spatial data structures 1990, Addison-Wesley, Reading, MA.
31. Gargantini I. An effective way to represent quadtrees. Commun ACM 1982, 25:905-910.
32. Hashin Z. Analysis of composite materials-a survey. J Appl Mech 1983, 50:481-505.
33. Beller G, Burkhart M, Felsenberg D, et al. Vertebral Body Data Set ESA29-99-L3. In; 2005.
34. Materialise. Mesh reconstruction software from CT/MRI data; http://www.materialise.com. In; 2010.
35. Fischer A., Bar-Yoseph P.Z. Adaptive mesh generation based on multi-resolution quadtree representation. Int J Numer Methods Eng 2000, 48:1571-1582.
36. Niebur G.L., Yuen J.C., Hsia A.C., Keaveny T.M. Convergence behavior of high-resolution finite element models of trabecular bone. J Biomech Eng 1999, 121:629-635.
37. Rubin M.R., Dempster D.W., Kohler T., Stauber M., Zhou H., Shane E., et al. Three dimensional cancellous bone structure in hypoparathyroidism. Bone 2010, 46:190-195.
38. Crawford R.P., Cann C.E., Keaveny T.M. Finite element models predict in vitro vertebral body compressive strength better than quantitative computed tomography. Bone 2003, 33:744-750.
39. Tanck E., Van Aken J.B., Van der Linden Y.M., Schreuder H.W.B., Binkowski M., Huizenga H., et al. Pathological fracture prediction in patients with metastatic lesions can be improved with quantitative computed tomography based computer models. Bone 2009, 45:777-783.
40. Hollister S.J. Porous scaffold design for tissue engineering. Nat Mater 2005, 4:518-524.
41. Nowak M. Structural optimization system based on trabecular bone surface adaptation. Struct Multidisciplinary Optim 2006, 32:241-249.
42. Stańczyk M., Van Rietbergen B. Thermal analysis of bone cement polymerisation at the cement-bone interface. J Biomech 2004, 37:1803-1810.
43. Bevill G., Keaveny T.M. Trabecular bone strength predictions using finite element analysis of micro-scale images at limited spatial resolution. Bone 2009, 44:579-584.
44. Cowin S.C., Mehrabadi M.M. On the identification of material symmetry for anisotropic elastic materials. Q J Mech Appl Math 1987, 40:451-476.