Tissue modulus calculated from beam theory is biased by bone size and geometry: Implications for the use of three-point bending tests to determine bone tissue modulus

Bone

Volumn 43, Issue 4, 2008, Pages 717-723

  van Lenthe, G Harry ^a   Voide, Romain ^a   Boyd, Steven K ^b   Müller, Ralph ^a  

^a ETH ZURICH   (Switzerland)

^b UNIVERSITY OF CALGARY   (Canada)

Author keywords

Femur; Biomechanical testing; Finite element analysis; Mouse; Tissue modulus

Indexed keywords

ANIMAL CELL; ANIMAL TISSUE; ARTICLE; BIOMECHANICS; BONE STRUCTURE; BONE TISSUE MODULUS; C3H MOUSE; C57BL 6 MOUSE; CONTROLLED STUDY; CORTICAL BONE; DIAGNOSTIC ACCURACY; DIAGNOSTIC TEST; EULER BERNOULLI BEAM THEORY; FEMALE; FEMUR; FINITE ELEMENT ANALYSIS; FROZEN SECTION; GEOMETRY; IMAGE ANALYSIS; INBRED STRAIN; MALE; MATHEMATICAL COMPUTING; MICRO-COMPUTED TOMOGRAPHY; MICROFINITE ELEMENT MODEL; MOUSE; NONHUMAN; QUANTITATIVE ASSAY; THREE DIMENSIONAL IMAGING; THREE POINT BENDING TEST; TISSUE SPECIFICITY; YOUNG MODULUS;

ANIMALS; BIOMECHANICS; BONE AND BONES; FEMUR; MICE; MODELS, ANATOMIC; MODELS, BIOLOGICAL;

EID: 50949131157     PISSN: 87563282     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.bone.2008.06.008     Document Type: Article

References (31)

1. Osteoporosis prevention, diagnosis, and therapy, NIH Consensus Statement; 2000.
2. Akhter M.P., Fan Z., and Rho J.Y. Bone intrinsic material properties in three inbred mouse strains. Calcif. Tissue Int. 75 (2004) 416-420
3. Akhter M.P., Iwaniec U.T., Covey M.A., Cullen D.M., Kimmel D.B., and Recker R.R. Genetic variations in bone density, histomorphometry, and strength in mice. Calcif.Tissue Int. 67 (2000) 337-344
4. Boyd S.K., Müller R., and Zernicke R.F. Mechanical and architectural bone adaptation in early stage experimental osteoarthritis. J. Bone Miner Res. 17 (2002) 687-694
5. Chevalier Y., Pahr D., Allmer H., Charlebois M., and Zysset P. Validation of a voxel-based FE method for prediction of the uniaxial apparent modulus of human trabecular bone using macroscopic mechanical tests and nanoindentation. J. Biomech. 40 (2007) 3333-3340
6. Donahue L.R., Beamer W.G., Shultz K.L., Hurd J., Guido V., and Rosen C.J. QTL for bone and body composition phenotypes are sex specific in a mouse model of GH/IGF-I deficiency. J. Bone Miner. Res. 20 (2005) S232
7. Gere J.M., and Timoshenko S.P. Mechanics of Materials (1993), PWS Publishing Company
8. Guo X.E., and Goldstein S.A. Vertebral trabecular bone microscopic tissue elastic modulus and hardness do not change in ovariectomized rats. J. Orthop. Res. 18 (2000) 333-336
9. Jacobs C.R., Davis B.R., Rieger C.J., Francis J.J., Saad M., and Fyhrie D.P. NACOB presentation to ASB Young Scientist Award: Postdoctoral. The impact of boundary conditions and mesh size on the accuracy of cancellous bone tissue modulus determination using large-scale finite-element modeling. North American Congress on Biomechanics. J. Biomech. 2 (1999) 1159-1164
10. Jämsä T., Jalovaara P., Peng Z., Väänännen H.K., and Tuukkanen J. Comparison of three-point bending test and peripheral quantitative computed tomography analysis in the evaluation of the strength of mouse femur and tibia. Bone 23 (1998) 155-161
11. Jepsen K.J., Schaffler M.B., Kuhn J.L., Goulet R.W., Bonadio J., and Goldstein S.A. Type I collagen mutation alters the strength and fatigue behavior of Mov13cortical tissue. J. Biomech. 30 (1997) 1141-1147
12. Jiao Y., Chiu H., Fan Z., Jiao F., Eckstein E.C., Beamer W., and Gu G.W. Quantitative trait loci that determine mouse tibial nanoindentation properties in an F(2) population derived from C57BL/6J X C3H/HeJ. Calcif. Tissue Int. 80 (2007) 383-390
13. Kabel J., van Rietbergen B., Dalstra M., Odgaard A., and Huiskes R. The role of an effective isotropic tissue modulus in the elastic properties of cancellous bone. J. Biomech. 32 (1999) 673-680
14. Li X., Masinde G., Gu W., Wergedal J., Mohan S., and Baylink D.J. Genetic dissection of femur breaking strength in a large population (MRL/MpJ x SJL/J) of F2 Mice: single QTL effects, epistasis, and pleiotropy. Genomics 79 (2002) 734-740
15. Niebur G.L., Yuen J.C., Hsia A.C., and Keaveny T.M. Convergence behavior of high-resolution finite element models of trabecular bone. J. Biomech. Eng. 121 (1999) 629-635
16. Ramasamy J.G., and Akkus O. Local variations in the micromechanical properties of mouse femur: the involvement of collagen fiber orientation and mineralization. J. Biomech. 40 (2007) 910-918
17. Raum K., Hofmann T., Leguerney I., Saïed A., Peyrin F., Vico L., and Laugier P. Variations of microstructure, mineral density and tissue elasticity in B6/C3H mice. Bone 41 (2007) 1017-1024
18. Rho J.Y., Tsui T.Y., and Pharr G.M. Elastic properties of human cortical and trabecular lamellar bone measured by nanoindentation. Biomaterials 18 (1997) 1325-1330
19. Robling A.G., and Turner C.H. Mechanotransduction in bone: genetic effects on mechanosensitivity in mice. Bone 31 (2002) 562-569
20. Rüegsegger P., Koller B., and Müller R. A microtomographic system for the nondestructive evaluation of bone architecture. Calcif. Tissue Int. 58 (1996) 24-29
21. Schriefer J.L., Robling A.G., Warden S.J., Fournier A.J., Mason J.J., and Turner C.H. A comparison of mechanical properties derived from multiple skeletal sites in mice. J. Biomech. 38 (2005) 467-475
22. Silva M.J., Brodt M.D., Fan Z., and Rho J.Y. Nanoindentation and whole-bone bending estimates of material properties in bones from the senescence accelerated mouse SAMP6. J. Biomech. 37 (2004) 1639-1646
23. Smith I.M., and Griffiths D.V. Programming the Finite Element Method (1998), John Wiley & Sons, Chichester
24. Turner, C. H., Burr, D. B. Experimental techniques for bone mechanics. In: S. C. Cowin (ed.), Bone mechanics handbook. Boca Raton, USA: CRC Press; 2001.
25. Turner C.H., Hsieh Y.F., Müller R., Bouxsein M.L., Baylink D.J., Rosen C.J., Grynpas M.D., Donahue L.R., and Beamer W.G. Genetic regulation of cortical and trabecular bone strength and microstructure in inbred strains of mice. J. Bone Miner Res. 15 (2000) 1126-1131
26. van Lenthe G.H., Stauber M., and Müller R. Specimen-specific beam models for fast and accurate prediction of human trabecular bone mechanical properties. Bone 39 (2006) 1182-1189
27. van Rietbergen B. Micro-FE analyses of bone: state of the art. Adv. Exp. Med. Biol. 496 (2001) 21-30
28. van Rietbergen B., Kabel J., Odgaard A., and Huiskes R. Determination of trabecular bone tissue elastic properties by comparison of experimental and finite element results. In: Sol H., and Oomens C.W.J. (Eds). Material Identification Using Mixed Numerical Experimental Methods (1997), Kluwer, the Netherlands pp. 183-192
29. van Rietbergen B., Weinans H., Huiskes R., and Odgaard A. A new method to determine trabecular bone elastic properties and loading using micromechanical finite-element models. J.Biomech. 28 (1995) 69-81
30. Wergedal J.E., Sheng M.H., Ackert-Bicknell C.L., Beamer W.G., and Baylink D.J. Genetic variation in femur extrinsic strength in 29 different inbred strains of mice is dependent on variations in femur cross-sectional geometry and bone density. Bone 36 (2005) 111-122
31. Young W.C., and Budynas R.G. Roark's Formulas for Stress and Strain (2002), McGraw-Hill, New York, etc.