A new meshless approach for subject-specific strain prediction in long bones: Evaluation of accuracy

Clinical Biomechanics

Volumn 23, Issue 9, 2008, Pages 1192-1199

  Taddei, Fulvia ^a   Pani, Martino ^a,b   Zovatto, Luigino ^b   Tonti, Enzo ^b   Viceconti, Marco ^a  

^a RIZZOLI ORTHOPAEDIC INSTITUTE   (Italy)

^b UNIVERSITY OF TRIESTE   (Italy)

Author keywords

Bone biomechanics; Cell Method; Computed Tomography; Meshless methods; Numerical model; Validation

Indexed keywords

BIOMECHANICS; BONE; COMPUTERIZED TOMOGRAPHY; DIAGNOSTIC RADIOGRAPHY; FORECASTING; MATHEMATICAL MODELS; MEDICAL IMAGING; NUMERICAL METHODS; STRAIN; TOMOGRAPHY; TOPOLOGY;

BONE BIOMECHANICS; CELL METHOD; COMPUTED TOMOGRAPHY; MESHLESS METHODS; NUMERICAL MODEL; VALIDATION;

FINITE ELEMENT METHOD;

ACCURACY; ARTICLE; CADAVER; COMPUTER ASSISTED TOMOGRAPHY; CONTROLLED STUDY; FEMUR; FINITE ELEMENT ANALYSIS; LONG BONE; MATHEMATICAL MODEL; PRIORITY JOURNAL; STRESS STRAIN RELATIONSHIP;

ADULT; COMPUTER SIMULATION; ELASTIC MODULUS; FEMUR; HUMANS; MALE; MODELS, BIOLOGICAL; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; STRESS, MECHANICAL;

EID: 53649085095     PISSN: 02680033     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.clinbiomech.2008.06.009     Document Type: Article

References (41)

1. Anderson A.E., Peters C.L., Tuttle B.D., and Weiss J.A. Subject-specific finite element model of the pelvis: development, validation and sensitivity studies. J. Biomech. Eng. 127 (2005) 364-373
2. Bergmann G., Deuretzbacher G., Heller M., Graichen F., Rohlmann A., Strauss J., et al. Hip contact forces and gait patterns from routine activities. J. Biomech. 34 (2001) 859-871
3. Bessho M., Ohnishi I., Matsuyama J., Matsumoto T., Imai K., and Nakamura K. Prediction of strength and strain of the proximal femur by a CT-based finite element method. J. Biomech. 40 (2007) 1745-1753
4. Cai Y.C., and Zhu H.H. Direct imposition of essential boundary conditions and treatment of material discontinuities in the EFG method. Comput. Mech. 34 (2004) 330-338
5. Cody D.D., Hou F.J., Divine G.W., and Fyhrie D.P. Short term in vivo precision of proximal femoral finite element modeling. Ann. Biomed. Eng. 28 (2000) 408-414
6. Doblaré M., Cueto E., Calvo B., Martinez M.A., Garcia J.M., and Cegonino J. On the employ of meshless methods in biomechanics. Comput. Methods Appl. Mech. Eng. 194 (2005) 801-821
7. Fernandez-Mendez S., and Huerta A. Imposing essential boundary conditions in mesh-free methods. Comput. Methods Appl. Mech. Eng. 193 (2004) 1257-1275
8. Gavete L., Benito J.J., Falco S., and Ruiz A. Implementation of essential boundary conditions in a meshless method. Commun. Numer. Methods Eng. 16 (2000) 409-421
9. Gingold R.A., and Monaghan J.J. Smoothed particle hydrodnamics: theory and application to nonspherical stars. Smoothed particle hydrodnamics: theory and application to nonspherical stars. 181 (1977) 275-389
10. Gupta S., van der Helm F.C.T., Sterk J.C., van Keulen F., and Kaptein B.L. Development and experimental validation of a three-dimensional finite element model of the human scapula. Proceedings of The Institution Of Mechanical Engineers. Part H. J. Eng. Med. 218 (2004) 127-142
11. Helgason B., Taddei F., Palsson H., Schileo E., Cristofolini L., Viceconti M., et al. A modified method for assigning material properties to FE models of bones. Med. Eng. Phys. 30 (2008) 444-453
12. Idelsohn S.R., and Onate E. To mesh or not to mesh. That is the question... Comput. Methods Appl. Mech. Eng. 195 (2006) 4681-4696
13. Idelsohn S.R., Onate E., and Del Pin F. A Lagrangian meshless finite element method applied to fluid-structure interaction problems. Comput. Struct. 81 (2003) 655-671
14. Ionescu I., Guilkey J.E., Berzins M., Kirby R.M., and Weiss J.A. Simulation of soft tissue failure using the material point method. J. Biomech. Eng. 128 (2006) 917-924
15. Kalender W.A. A phantom for standardization and quality control in spinal bone mineral measurements by QCT and DXA: design considerations and specifications. Med. Phys. 19 (1992) 583-586
16. Keyak J.H., Fourkas M.G., Meagher J.M., and Skinner H.B. Validation of an automated method of three-dimensional finite element modelling of bone. J. Biomed. Eng. 15 (1993) 505-509
17. Keyak J.H., Kaneko T.S., Tehranzadeh J., and Skinner H.B. Predicting proximal femoral strength using structural engineering models. Clin. Orthopaed. Related Res. (2005) 219-228
18. Lee J.D., Chen Y., Zeng X., Eskandarian A., and Oskard M. Modeling and simulation of osteoporosis and fracture of trabecular bone by meshless method. Int. J. Eng. Sci. 45 (2007) 329-338
19. Li G., and Belytschko T. Element-free Galerkin method for contact problems in metal forming analysis. Eng. Comput. 18 (2001) 62-78
20. Liew K.M., Wu H.Y., and Ng T.Y. Meshless method for modeling of human proximal femur: treatment of nonconvex boundaries and stress analysis. Comput. Mech. 28 (2002) 390-400
21. Lim Y.-J., and De S. Real time simulation of nonlinear tissue response in virtual surgery using the point collocation-based method of finite spheres. Comput. Methods Appl. Mech. Eng. 196 (2007) 3011-3024
22. Little J.P., Taddei F., Viceconti M., Murray D.W., and Gill H.S. Changes in femur stress after hip resurfacing arthroplasty: response to physiological loads. Clin. Biomech. 22 (2007) 440-448
23. Lucy L.B. A numerical approach to the testing of the fission hypothesis. Astronom. J. 82 (1977) 1013-1024
24. Morgan E.F., Bayraktar H.H., and Keaveny T.M. Trabecular bone modulus-density relationships depend on anatomic site. J. Biomech. 36 (2003) 897-904
25. Ota T., Yamamoto I., and Morita R. Fracture simulation of the femoral bone using the finite-element method: how a fracture initiates and proceeds. J. Bone Miner. Metabol. 17 (1999) 108-112
26. Rabczuk T., and Belytschko T. Cracking particles: a simplified meshfree method for arbitrary evolving cracks. Int. J. Numer. Methods Eng. 61 (2004) 2316-2343
27. Schileo E., Taddei F., Malandrino A., Cristofolini L., and Viceconti M. Subject-specific finite element models can accurately predict strain levels in long bones. J Biomech. 40 (2007) 2982-2989
28. Sukumar N., Moran B., and Belytschko T. The natural element method in solid mechanics. Int. J. Numer. Methods Eng. 43 (1998) 839-887
29. Swegle J.W., Hicks D.L., and Attaway S.W. Smoothed particle hydrodynamics stability analysis. J. Comput. Phys. 116 (1995) 123-134
30. Taddei F., Viceconti M., Manfrini M., and Toni A. Mechanical strength of a femoral reconstruction in paediatric oncology: a finite element study. Proc. Inst. Mech. Eng. [H] 217 (2003) 111-119
31. Taddei F., Cristofolini L., Martelli S., Gill H.S., and Viceconti M. Subject-specific finite element models of long bones: an in vitro evaluation of the overall accuracy. J. Biomech. 39 (2006) 2457-2467
32. Taddei F., Schileo E., Helgason B., Cristofolini L., and Viceconti M. The material mapping strategy influences the accuracy of CT-based finite element models of bones: an evaluation against experimental measurements. Med. Eng. Phys. 29 (2007) 973-979
33. Testi D., Zannoni C., Cappello A., and Viceconti M. Border-tracing algorithm implementation for the femoral geometry reconstruction. Comput. Methods Programs Biomed. 65 (2001) 175-182
34. Tonti E. A direct discrete formulation of Field Laws: the Cell Method. Comput. Model. Eng. Sci. 2 (2001) 237-258
35. Viceconti M., Davinelli M., Taddei F., and Cappello A. Automatic generation of accurate subject-specific bone finite element models to be used in clinical studies. J. Biomech. 37 (2004) 1597-1605
36. Viceconti M., Olsen S., Nolte L.P., and Burton K. Extracting clinically relevant data from finite element simulations. Clin. Biomech. 20 (2005) 451-454
37. Viceconti M., Taddei F., Montanari L., Testi D., Leardini A., Clapworthy G., et al. Multimod Data Manager: a tool for data fusion. Comput. Methods Programs Biomed. 87 (2007) 148-159
38. Wirtz D.C., Schiffers N., Pandorf T., Radermacher K., Weichert D., and Forst R. Critical evaluation of known bone material properties to realize anisotropic FE-simulation of the proximal femur. J. Biomech. 33 (2000) 1325-1330
39. Xiong Zhang X.L.M.-W.L.Y.C. Imposition of essential boundary conditions by displacement constraint equations in meshless methods. Commun. Numer. Methods Eng. 17 (2001) 165-178
40. Zovatto L., and Nicolini M. The meshless approach for the Cell Method: a new way for the numerical solution of discrete conservation laws. Int. J. Comput. Eng. Sciences. 4 (2003) 869-880
41. Zovatto L., and Nicolini M. Extension of the meshless approach for the Cell Method to three-dimensional numerical integration of discrete conservation laws. Int. J. Comput. Methods Eng. Sci. Mech. 7 (2006) 69-79