This study investigated the effects of intraspecimen variations in tissue mineral density (TMD) on the apparent-level stiffness of human trabecular bone. High-resolution finite element (FE) models were created for each of 12 human trabecular bone specimens, using both microcomputed tomography (μCT) and “gold-standard” synchrotron radiation μCT (SRμCT) data. Our results confirm that incorporating TMD spatial variation reduces the calculated apparent stiffness compared to homogeneous TMD models. This effect exists for both μCT- and SRμCT-based FE models, but is exaggerated in μCT-based models. This study provides a direct comparison of μCT to SRμCT data and is thereby able to conclude that the influence of including TMD heterogeneity is overestimated in μCT-based models.
Issue Section:
Research Papers
Keywords:
Biomechanics
References
1.
Bevill
, G.
, Eswaran
, S. K.
, Farahmand
, F.
, and Keaveny
, T. M.
, 2009
, “The Influence of Boundary Conditions and Loading Mode on High-Resolution Finite Element-Computed Trabecular Tissue Properties
,” Bone
, 44
(4
), pp. 573
–578
.10.1016/j.bone.2008.11.0152.
Kabel
, J.
, van Rietbergen
, B.
, Dalstra
, M.
, Odgaard
, A.
, and Huiskes
, R.
, 1999
, “The Role of an Effective Isotropic Tissue Modulus in the Elastic Properties of Cancellous Bone
,” J. Biomech.
, 32
(7
) pp. 673
–680
.10.1016/S0021-9290(99)00045-73.
Ladd
, A. J.
, Kinney
, J. H.
, Haupt
, D. L.
, and Goldstein
, S. A.
, 1998
, “Finite-Element Modeling of Trabecular Bone: Comparison With Mechanical Testing and Determination of Tissue Modulus
,” J. Orthop. Res.
, 16
(5
), pp. 622
–8
.10.1002/jor.11001605164.
Ulrich
, D.
, Hildebrand
, T.
, Van Rietbergen
, B.
, Müller
, R.
, and Rüegsegger
, P.
, 1997
, “The Quality of Trabecular Bone Evaluated With Micro-Computed Tomography, FEA, and Mechanical Testing
,” Stud. Health Technol. Inf.
, 40
, pp. 97
–112
.10.3233/978-1-60750-884-7-975.
Van Rietbergen
, B.
, Weinans
, H.
, Huiskes
, R.
, and Odgaard
, A. A.
, 1995
, “New Method to Determine Trabecular Bone Elastic Properties and Loading Using Micromechanical Finite Element Models
,” J. Biomech.
, 28
(1
), pp. 69
–81
.10.1016/0021-9290(95)80008-56.
Boivin
, G.
, and Meunier
, P. J.
, 2002
, “Changes in Bone Remodeling Rate Influence the Degree of Mineralization of Bone
,” Connect. Tissue Res.
, 43
(2–3
), pp. 535
–537
.10.1080/030082002900009347.
Paschalis
, E. P.
, Betts
, F.
, DiCarlo
, E.
, Mendelsohn
, R.
, and Boskey
, A. L.
, 1997
, “FTIR Microspectroscopic Analysis of Normal Human Cortical and Trabecular Bone
,” Calcif. Tissue Int.
, 61
(6
), pp. 480
–486
.10.1007/s0022399003718.
Misof
, B. M.
, Roschger
, P.
, Cosman
, F.
, Kurland
, E. S.
, Tesch
, W.
, Messmer
, P.
, Dempster
, D. W.
, Nieves
, J.
, Shane
, E.
, Fratzl
, P.
, Klaushofer
, K.
, Bilezikian
, J.
, and Lindsay
, R.
, 2003
, “Effects of Intermittent Parathyroid Hormone Administration on Bone Mineralization Density in Iliac Crest Biopsies From Patients With Osteoporosis: A Paired Study Before and After Treatment
,” J. Clin. Endocrinol. Metab.
, 88
(3
), pp. 1150
–1156
.10.1210/jc.2002-0219889.
Roschger
, P.
, Rinnerthaler
, S.
, Yates
, J.
, Rodan
, G. A.
, Fratzl
, P.
, and Klaushofer
, K.
, 2001
, “Alendronate Increases Degree and Uniformity of Mineralization in Cancellous Bone and Decreases the Porosity in Cortical Bone of Osteoporotic Women
,” Bone
, 29
(2
), pp. 185
–191
.10.1016/S8756-3282(01)00485-910.
Yao
, W.
, Cheng
, Z.
, Koester
, K. J.
, Ager
, J. W.
, Balooch
, M.
, Pham
, A.
, Chefo
, S.
, Busse
, C.
, Ritchie
, R. O.
, and Lane
, N. E.
, 2007
, “The Degree of Bone Mineralization is Maintained With Single Intravenous Bisphosphonates in Aged Estrogen-Deficient Rats and Is a Strong Predictor of Bone Strength
,” Bone
, 41
(5
), pp. 804
–812
.10.1016/j.bone.2007.06.02111.
Bourne
, B. C.
, and van der Meulen
, M. C.
, 2004
, “Finite Element Models Predict Cancellous Apparent Modulus When Tissue Modulus Is Scaled From Specimen CT-Attenuation
,” J. Biomech.
, 37
(5
), pp. 613
–621
.10.1016/j.jbiomech.2003.10.00212.
Bouxsein
, M. L.
, 2003
, “Bone Quality: Where Do We Go From Here?
,” Osteoporosis Int.
, 14
(5
), pp. S118
–S127
.10.1007/s00198-003-1489-x13.
Burr
, D. B.
, 2004
, “Bone Quality: Understanding What Matters
,” J. Musculoskeletal Neuronal Interact.
, 4
(2
), pp. 184
–186
.14.
Jaasma
, M. J.
, Bayraktar
, H. H.
, Niebur
, G. L.
, and Keaveny
, T. M.
, 2002
, “Biomechanical Effects of Intraspecimen Variations in Tissue Modulus for Trabecular Bone
,” J. Biomech.
, 35
(2
), pp. 237
–246
.10.1016/S0021-9290(01)00193-215.
Mulder
, L.
, van Ruijven
, L. J.
, Koolstra
, J. H.
, and van Eijden
, T. M.
, 2007
, “Biomechanical Consequences of Developmental Changes in Trabecular Architecture and Mineralization of the Pig Mandibular Condyle
,” J. Biomech.
, 40
(7
), pp. 1575
–1582
.10.1016/j.jbiomech.2006.07.03016.
Renders
, G. A.
, Mulder
, L.
, Langenbach
, G. E.
, van Ruijven
, L. J.
, and van Eijden
, T. M.
, 2008
, “Biomechanical Effect of Mineral Heterogeneity in Trabecular Bone
,” J. Biomech.
, 41
(13
), pp. 2793
–2798
.10.1016/j.jbiomech.2008.07.00917.
van der Linden
, J. C.
, Birkenhager-Frenkel
, D. H.
, Verhaar
, J. A.
, and Weinans
, H.
, 2001
, “Trabecular Bone's Mechanical Properties Are Affected by Its Non-Uniform Mineral Distribution
,” J. Biomech.
, 34
(12
), pp. 1573
–1580
.10.1016/S0021-9290(01)00146-418.
Jaasma
, M. J.
, Bayraktar
, H. H.
, Niebur
, G. L.
, and Keaveny
, T. M.
, 2001
, “The Effects of Intraspecimen Variations in Tissue Modulus on the Apparent Mechanical Properties of Trabecular Bone
,” Transactions of the Annual Meeting—Orthopaedic Research Society
, San Francisco, p. 513
.19.
Easley
, S. K.
, Jekir
, M. G.
, Burghardt
, A. J.
, Li
, M.
, and Keaveny
, T. M.
, 2010
, “Contribution of the Intra-Specimen Variations in Tissue Mineralization to PTH and Raloxifene-Induced Changes in Stiffness of Rat Vertebrae
,” Bone
, 46
(4
), pp. 1162
–1169
.10.1016/j.bone.2009.12.00920.
Kazakia
, G. J.
, Burghardt
, A. J.
, Cheung
, S.
, and Majumdar
, S.
, 2008
, “Assessment of Bone Tissue Mineralization by Conventional X-Ray Microcomputed Tomography: Comparison With Synchrotron Radiation Microcomputed Tomography and Ash Measurements
,” Med. Phys.
, 35
(5
), pp. 3170
–3179
.10.1118/1.292421021.
Feldkamp
, L. A.
, Goldstein
, S. A.
, Parfitt
, A. M.
, Jesion
, G.
, and Kleerekoper
, M.
, 1989
, “The Direct Examination of Three-Dimensional Bone Architecture in vitro by Computed Tomography
,” J. Bone Miner. Res.
, 4
(1
), pp. 3
–11
.10.1002/jbmr.565004010322.
Burghardt
, A. J.
, Kazakia
, G. J.
, Laib
, A.
, and Majumdar
, S.
, 2008
, “Quantitative Assessment of Bone Tissue Mineralization With Polychromatic Micro-Computed Tomography
,” Calcif. Tissue Int.
, 83
(2
), pp. 129
–138
.10.1007/s00223-008-9158-x23.
Jorgensen
, S. M.
, Demirkaya
, O.
, and Ritman
, E. L.
, 1998
, “Three-Dimensional Imaging of Vasculature and Parenchyma in Intact Rodent Organs With X-Ray Micro-CT
,” Am. J. Physiol.
, 275
(3), pp. H1103
–H1114
.24.
Ding
, M.
, Odgaard
, A.
, and Hvid
, I.
, 1999
, “Accuracy of Cancellous Bone Volume Fraction Measured by Micro-CT Scanning
,” J. Biomech.
, 32
(3
), pp. 323
–326
.10.1016/S0021-9290(98)00176-625.
Goodenough
, D.
, Weaver
, K.
, Davis
, D.
, and LaFalce
, S.
, 1982
, “Volume Averaging Limitations of Computed Tomography
,” Am. J. Roentgenol.
, 138
(2
), pp. 313
–316
.10.2214/ajr.138.2.31326.
Adams
, M. F.
, Bayraktar
, H. H.
, Keaveny
, T. M,
, and Papadopoulos
, P.
, 2004
, “Ultrascalable Implicit Finite Element Analyses in Solid Mechanics With Over a Half a Billion Degrees of Freedom
,” Proceeding of the ACM/IEEE High Performance Networking and Computing
, Nov. 6–12, p. 34
.10.1109/SC.2004.6227.
Bevill
, G.
, and Keaveny
, T. M.
, 2009
, “Trabecular Bone Strength Predictions Using Finite Element Analysis of Micro-Scale Images at Limited Spatial Resolution
,” Bone
, 44
(4
), pp. 579
–584
.10.1016/j.bone.2008.11.02028.
Currey
, J. D.
, 1988
, “The Effect of Porosity and Mineral Content on the Young's Modulus of Elasticity of Compact Bone
,” J. Biomech.
, 21
(2
), pp. 131
–139
.10.1016/0021-9290(88)90006-129.
Schaffler
, M. B.
, and Burr
, D. B.
, 1988
, “Stiffness of Compact Bone: Effects of Porosity and Density
,” J. Biomech.
, 21
(1
), pp. 13
–16
.10.1016/0021-9290(88)90186-830.
Kaneko
, T. S.
, Pejcic
, M. R.
, Tehranzadeh
, J.
, and Keyak
, J. H.
, 2003
, “Relationships Between Material Properties and CT Scan Data of Cortical Bone With and Without Metastatic Lesions
,” Med. Eng. Phys.
, 25
(6
), pp. 445
–454
.10.1016/S1350-4533(03)00030-431.
Gross
, T.
, Pahr
, D. H.
, Peyrin
, F.
, and Zysset
, P. K.
, 2012
, “Mineral Heterogeneity Has a Minor Influence on the Apparent Elastic Properties of Human Cancellous Bone: A SRmuCT-Based Finite Element Study
,” Comput. Methods Biomech. Biomed. Eng.
, 15
(11
), pp. 1137
–1144
.10.1080/10255842.2011.58123632.
Fajardo
, R. J.
, Cory
, E.
, Patel
, N. D.
, Nazarian
, A.
, Laib
, A.
, Manoharan
, R. K.
, Schmitz
, J. E.
, Desilva
, J. M.
, Maclatchy
, L. M.
, Snyder
, B. D,
, and Bouxsein
, M. L.
, 2008
, “Specimen Size and Porosity Can Introduce Error Into μCT-Based Tissue Mineral Density Measurements
,” Bone
, 44
(1
), pp. 176
–184
.10.1016/j.bone.2008.08.11833.
Mulder
, L.
, Koolstra
, J. H.
, and Van Eijden
, T. M.
, “Accuracy of Microct in the Quantitative Determination of the Degree and Distribution of Mineralization in Developing Bone
,” Acta Radiol.
, 45
(7
), pp. 769
–777
.10.1080/0284185041000817134.
Nazarian
, A.
, Snyder
, B. D.
, Zurakowski
, D.
, and Muller
, R.
, 2008
, “Quantitative Micro-Computed Tomography: A Non-Invasive Method to Assess Equivalent Bone Mineral Density
,” Bone
, 43
(2
), pp. 302
–311
.10.1016/j.bone.2008.04.00935.
Nuzzo
, S.
, Peyrin
, F.
, Cloetens
, P.
, Baruchel
, J.
, and Boivin
, G.
, 2002
, “Quantification of the Degree of Mineralization of Bone in Three Dimensions Using Synchrotron Radiation Microtomography
,” Med. Phys.
, 29
(11
), pp. 2672
–2681
.10.1118/1.1513161Copyright © 2015 by ASME
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