Comparative analysis of bone remodelling models with respect to computerised tomography-based finite element models of bone

Computer Methods in Biomechanics and Biomedical Engineering

Volumn 13, Issue 1, 2010, Pages 71-80

  Perez M A ^a   Fornells, P ^a   Doblare M ^a   Garcia Aznar J M ^a  

^a UNIVERSITY OF ZARAGOZA   (Spain)

Author keywords

Bone remodelling; CT data; Hounsfield units; Mechanical properties; Subject specific finite element model

Indexed keywords

ARTICLE; BIOLOGICAL MODEL; BIOMECHANICS; BIOMEDICAL ENGINEERING; BONE DENSITY; BONE REMODELING; COMPARATIVE STUDY; COMPUTER ASSISTED TOMOGRAPHY; COMPUTER SIMULATION; FINITE ELEMENT ANALYSIS; HUMAN; PHYSIOLOGY;

BIOMECHANICS; BIOMEDICAL ENGINEERING; BONE DENSITY; BONE REMODELING; COMPUTER SIMULATION; FINITE ELEMENT ANALYSIS; HUMANS; MODELS, BIOLOGICAL; TOMOGRAPHY, X-RAY COMPUTED;

EID: 77950901063     PISSN: 10255842     EISSN: 14768259     Source Type: Journal    
DOI: 10.1080/10255840903045029     Document Type: Article

References (55)

1. Adachi T, Tsubota KI, Tomita Y, Hollister SJ. 2001. Trabecular surface remodelling simulation for cancellous bone using microstructural voxel finite element models. J Biomech Eng. 123:403-409.
2. Bagge M. 2000. A model of bone adaptation as an optimization process. J Biomech. 33(11):1349-1357.
3. Beaupre GS, Orr TE, Carter DR. 1990. An approach for timedependent bone modelling and remodelling-theoretical development. J Orthop Res. 8:651-661.
4. Bergmann G, Heller M, Duda GN. 2001. Preclinical testing of cemented hip replacement implants: pre-normative research for a European Standard, Final Report of Workpackage 5: Development of the Loading Configuration, EU Contract SMT4-CT96-2076, 1999, HIP98.
5. Brodner W, Bitzan P, Lomoschitz F, Krepler P, Jankovsky R, Lehr S, Kainberger F, Gottsauner-Wolf F. 2004. Changes in bone mineral density in the proximal femur after cementless total hip arthroplasty. A five-year longitudinal study. J Bone Joint Surg Br. 86(1):20-26.
6. Carter DR, Hayes WC. 1977. The compressive behaviour of bone as a two-phase porous structure. J Bone Joint Surg Am. 59(7):954-962.
7. Cowin SC. 1986. Wolff's law of trabecular architecture at remodeling equilibrium. J Biomech Eng. 108:83-88.
8. Cowin SC, Hegedus DH. 1976. Bone remodelling I: a theory of adaptive elasticity. J Elast. 6:313-326.
9. Doblaré M, García J. 2001. Bone remodelling analysis of the proximal femur after total hip replacement and implantation of an exeter prosthesis. J Biomech. 34(9):1157-1170.
10. Doblaré M, García J. 2002. Anisotropic bone remodelling model based on a continuum damage-repair theory. J Biomech. 35(1):1-17.
11. Duda GN, Mandruzzato F, Heller M. 2001. Mechanical boundary conditions of fracture healing: borderline indications in the treatment of unreamed tibial nailing. J Biomech. 34: 639-650.
12. Edidin A, Taylor D, Bartel DL. 1991. Automatic assignment of bone moduli from CT data: a 3-d finite element study. Proceedings of the 37th Annual Meeting of the Orthopaedic Research Society. 16:491.
13. Fernandes P, Rodrigues H, Jacobs C. 1999. A model of bone adaptation using a global optimisation criterion based on the trajectorial theory of wolff. Comput Methods Biomech Biomed Eng. 2(2):125-138.
14. Fyhrie DP, Schaffler MB. 1995. The adaptation of bone apparent density to applied load. J Biomech. 28(2):135-146.
15. García JM, Doblaré M, Cegoñino J. 2002. Bone remodelling simulation: a tool for implant design. Comp Mater Sci. 25(1-2):100-114.
16. García-Aznar JM, Rueberq T, Doblaré M. 2005. A bone remodelling model coupling micro-damage growth and repair by 3D BMU-activity. Biomech Model Mechanobiol. 4(2-3):147-167.
17. Genna F, Paganelli C, Salgarello S, Sapelli P. 2003. Mechanical response of bone under short-term loading of a dental implant with an internal layer simulating the nonlinear behaviour of the peridontal ligament. Comput Methods Biomech Biomed Eng. 6(5-6):305-318.
18. Glitsch U, Baumann W. 1997. The three dimensional determination of internal loads in the lower extremity. J Biomech. 11(12):1123-1131.
19. Gómez-Benito MJ, Fornells P, García-Aznar JM, Seral B, Seral F, Doblaré M. 2007. Computational comparison of reamed versus unreamed intramedullary tibial nails. J Orthop Res. 2: 191-200.
20. Grampp S, Genant HK, Mathur A, Lang P, Jergas M, Takada M, Glüer CC, Lu Y, Chavez M. 1997. Comparisons of noninvasive bone mineral measurements in assessing agerelated loss fracture discrimination and diagnostic classification. J Bone Miner Res. 12(5):697-711.
21. Hazelwood SJ, Martin RB, Rashid MM, Rodrigo JJ. 2001. A mechanistic model for internal bone remodeling exhibits different dynamic responses in disuse and overload. J Biomech. 34(3):299-308.
22. Helgason B, Perilli E, Schileo E, Taddei F, Brynjolfsson S, Viceconti M. 2008a. Mathematical relationships between bone density and mechanical properties: a literature review. Clin Biomech. 23(2):135-146.
23. Helgason B, Taddei F, Palsson H, Schileo E, Cristofolini L, Viceconti M, Brynjolfsson S. 2008b. A modified method for assigning material properties to FE models of bones. Med Eng Phys. 30(4):444-453.
24. Heller MO, Bergmann G, Deuretzbacher G, Dürselen L, Pohl M, Claes L, Hass NP, Duda GN. 2001. Musculo-skeletal loading conditions at the hip during walking and stair climbing. J Biomech. 34:883-893.
25. Hellmich C, Kober C, Erdmann B. 2008. Micromechanics-based conversion of CT data into anisotropic elasticity tensors, applied to FE simulations of a mandible. Ann Biomed Eng. 36(1):108-122.
26. Homolka P, Beer A, Birkfellner W, Gahleitner A, Tschabitscher M, Bergmann H. 2002. Bone mineral density measurement with dental quantitative CT prior to dental implant placement in cadaver mandibles: pilot study. Radiology. 224:247-252.
27. Huiskes R, Weinans H, Grootenboer HJ, Dalstra M, Fudala B, Slooff TJ. 1987. Adaptive bone-remodeling theory applied to prosthetic-design analysis. J Biomech. 20(11-12): 1135-1150.
28. Huiskes R, Ruimerman R, van Lenthe GH, Jansen JD. 2000. Effects of mechanical forces on maintenance and adaptation of form in trabecular bone. Nature. 405:704-706.
29. Jacobs CR, Simo JC, Beaupré GS, Carter DR. 1997. Adaptative bone remodeling incorporating simultaneous density and anisotropy considerations. J Biomech. 30:603-613.
30. Keller TS. 1994. Predicting the compressive mechanical behaviour of bone. J Biomech. 27(9):1159-1168.
31. Korioth TWP, Romilly DP, Hannam AG. 1992. Threedimensional finite element stress analysis of the dentate human mandible. Am J Phys Anthropol. 88:69-96.
32. Lagrave're MO, Fang Y, Care J, Toogood RW, Packota GV, Major PW. 2006. Density conversion factor determined using a cone-beam computed tomography unit NewTom QRDVT 9000. Dentomaxillofac Radiol. 35:407-409.
33. Laz PJ, Stowe JQ, Baldwin MA, Petrella AJ, Rullkoetter PJ. 2007. Incorporating uncertainty in mechanical properties for finite element-based evaluation of bone mechanics. J Biomech. 40(13):2831-2836.
34. Liao S-H, Tong R-F, Dong J-X. 2007. Anisotropic finite element modeling for patient-specific mandible. Comput Methods Programs Biomed. 88:197-209.
35. Limbert G, Middleton J, Laizans J, Dobelis M, Knets I. 2003. A transversely isotropic hyperelastic constitutive model of the PDL. Analytical and computational aspects. Comput Methods Biomech Biomed Eng. 6(5-6):337-345.
36. Lotz JC, Gerhart TN, Hayes WC. 1990. Mechanical properties of trabecular bone from the proximal femur: a quantitative CT study. J Comput Assist Tomogr. 14(1):107-114.
37. McNamara LM, Prendergast PJ. 2007. Bone remodelling algorithms incorporating both strain and microdamage. J Biomech. 40(6):1381-1391.
38. Merz B, Niedere P, Muller R, Ruegsegger P. 1996. Automated finite element analysis of excised human femora based on precision-QCT. J Biomech Eng. 118(3):387-390.
39. Nelson GJ. 1986. Three dimensional computer modeling of human mandibular biomechanics [Ph.D. thesis]. University of British Columbia.
40. Norton MR, Gamble C. 2001. Bone classification: an objective scale of bone density using the computerized tomography scan. Clin Oral Implants Res. 12:79-84.
41. Nyman JS, Hazelwood SJ, Rodrigo JJ, Martin RB, Yeh OC. 2004. Long stemmed total knee arthroplasty with interlocking screws: a computational bone adaptation study. J Orthop Res. 22:51-57.
42. Ota T, Yamamoto I, Morita R. 1999. Fracture simulation of the femoral bone using the finite-element method: how a fracture initiates and proceeds. J Bone Miner Metab. 17:108-112.
43. Peng L, Bai J, Zeng X, Zhou Y. 2007. Comparison of isotropic and orthotropic material property assignments on femoral finite element models under two loading conditions. Med Eng Phys. 28:227-233.
44. Pfeiler TW, Lalush DS, Loboa EG. 2007. Semiautomated finite element mesh generation methods for a long bone. Comput Methods Programs Biomed. 85:196-202.
45. Prendergast PJ. 1997. Finite element models in tissue mechanics and orthopaedic implant design. Clin Biomech. 12(6): 343-366.
46. Prendergast PJ, Taylor D. 1994. Prediction of bone adaptation using damage accumulation. J Biomech. 27:1067-1076.
47. Pérez MA, Grasa J, García-Aznar JM, Bea JA, Doblaré M. 2006. Probabilistic analysis of the influence of bonding degree in stem-cement interfaces in cemented hip prosthesis. J Biomech. 39:1859-1872.
48. Ramtani S, Zidi M. 2001. A theoretical model of the effect of continuum damage on a bone adaptation model. J Biomech. 34(4):471-479.
49. Reina JM, García-Aznar JM, Domínguez J, Doblaré M. 2007. Numerical estimation of bone density and elastic constants distribution in a human mandible. J Biomech. 40(4): 828-836.
50. Rho JY, Hobato MC, Ashman RB. 1995. Relations of mechanical properties to density and CT numbers in human bone. Med Eng Phys. 17(5):347-355.
51. Taddei F, Cristofolini L, Martelli S, Gill HS, Viceconti M. 2006. Subject-specific finite element models of long bones: an in vitro evaluation of the overall accuracy. J Biomech. 39: 2457-2467.
52. Taddei F, Pancanti A, Viceconti M. 2004. An improved method for the automatic mapping of computed tomography numbers onto finite element models. Med Eng Phys. 26: 61-69.
53. Taddei F, Schileo E, Helgason B, Cristofolini L, Viceconti M. 2007. The material mapping strategy influences the accuracy of CT-based finite element models of bones: an evaluation against experimental measurements. Med Eng Phys. 29: 973-979.
54. Takada M, Engelke K, Hagiwara S, Grampp S, Jergas M, Glüer CC, Genant HK. 1997. Assessment of osteoporosis: comparison of radiographic absorptiometry of the phalanges and dual X-ray absortiometry of the radius and lumbar spine. Radiology. 202(3):759-763.
55. Wirtz DC, Schiffers N, Pandord T, Radermacher K, Weichert D, Forst R. 2000. Critical evaluation of known bone material properties to realize anisotropic FE-simulation of the proximal femur. J Biomech. 33(10):1325-1330.