Skip to main content
Top
Published in: Osteoporosis International 2/2012

01-02-2012 | Original Article

QCT-based finite element models predict human vertebral strength in vitro significantly better than simulated DEXA

Authors: E. Dall’Ara, D. Pahr, P. Varga, F. Kainberger, P. Zysset

Published in: Osteoporosis International | Issue 2/2012

Login to get access

Abstract

Summary

While dual energy X-ray absorptiometry (DXA) is considered the gold standard to evaluate fracture risk in vivo, in the present study, the quantitative computed tomography (QCT)-based finite element modeling has been found to provide a quantitative and significantly improved prediction of vertebral strength in vitro. This technique might be used in vivo considering however the much larger doses of radiation needed for QCT.

Introduction

Vertebral fracture is a common medical problem in osteoporotic individuals. Bone mineral density (BMD) is the gold standard measure to evaluate fracture risk in vivo. QCT-based finite element (FE) modeling is an engineering method to predict vertebral strength. The aim of this study was to compare the ability of FE and clinical diagnostic tools to predict vertebral strength in vitro using an improved testing protocol.

Methods

Thirty-seven vertebral sections were scanned with QCT and high resolution peripheral QCT (HR-pQCT). Bone mineral content (BMC), total BMD (tBMD), areal BMD from lateral (aBMD-lat), and anterior-posterior (aBMD-ap) projections were evaluated for both resolutions. Wedge-shaped fractures were then induced in each specimen with a novel testing setup. Nonlinear homogenized FE models (hFE) and linear micro-FE (μFE) were generated from QCT and HR-pQCT images, respectively. For experiments and models, both structural properties (stiffness, ultimate load) and material properties (apparent modulus and strength) were computed and compared.

Results

Both hFE and μFE models predicted material properties better than structural ones and predicted strength significantly better than aBMD computed from QCT and HR-pQCT (hFE: R² = 0.79, μFE: R² = 0.88, aBMD-ap: R² = 0.48−0.47, aBMD-lat: R² = 0.41−0.43). Moreover, the hFE provided reasonable quantitative estimations of the experimental mechanical properties without fitting the model parameters.

Conclusions

The QCT-based hFE method provides a quantitative and significantly improved prediction of vertebral strength in vitro when compared to simulated DXA. This superior predictive power needs to be verified for loading conditions that simulate even more the in vivo case for human vertebrae.
Literature
1.
go back to reference Johnell O, Kanis JA (2006) An estimate of the worldwide prevalence and disability associated with osteoporotic fractures. Osteoporos Int 17:1726–1733PubMedCrossRef Johnell O, Kanis JA (2006) An estimate of the worldwide prevalence and disability associated with osteoporotic fractures. Osteoporos Int 17:1726–1733PubMedCrossRef
2.
go back to reference Johnell O, Kanis J (2005) Epidemiology of osteoporotic fractures. Osteoporos Int 16(Suppl 2):S3–S7PubMedCrossRef Johnell O, Kanis J (2005) Epidemiology of osteoporotic fractures. Osteoporos Int 16(Suppl 2):S3–S7PubMedCrossRef
3.
go back to reference Jalava T et al (2003) Association between vertebral fracture and increased mortality in osteoporotic patients. J Bone Miner Res 18:1254–1260PubMedCrossRef Jalava T et al (2003) Association between vertebral fracture and increased mortality in osteoporotic patients. J Bone Miner Res 18:1254–1260PubMedCrossRef
4.
go back to reference Kanis JA, Oden A, Johnell O, De Laet C, Jonsson B (2004) Excess mortality after hospitalisation for vertebral fracture. Osteoporos Int 15:108–112PubMedCrossRef Kanis JA, Oden A, Johnell O, De Laet C, Jonsson B (2004) Excess mortality after hospitalisation for vertebral fracture. Osteoporos Int 15:108–112PubMedCrossRef
5.
go back to reference World Health Organisation. Assessment of fracture risk and its application to screening for postmenopausal osteoporosis, Technical Report Series, vol. 843, 1994, WHO, Geneve. World Health Organisation. Assessment of fracture risk and its application to screening for postmenopausal osteoporosis, Technical Report Series, vol. 843, 1994, WHO, Geneve.
6.
go back to reference Kanis JA, Gluer CC (2000) An update on the diagnosis and assessment of osteoporosis with densitometry. Committee of Scientific Advisors, International Osteoporosis Foundation. Osteoporos Int 11:192–202PubMedCrossRef Kanis JA, Gluer CC (2000) An update on the diagnosis and assessment of osteoporosis with densitometry. Committee of Scientific Advisors, International Osteoporosis Foundation. Osteoporos Int 11:192–202PubMedCrossRef
7.
go back to reference Marshall D, Johnell O, Wedel H (1996) Meta-analysis of how well measures of bone mineral density predict occurrence of osteoporotic fractures. BMJ 312:1254–1259PubMedCrossRef Marshall D, Johnell O, Wedel H (1996) Meta-analysis of how well measures of bone mineral density predict occurrence of osteoporotic fractures. BMJ 312:1254–1259PubMedCrossRef
8.
go back to reference Kanis JA et al (2006) The use of multiple sites for the diagnosis of osteoporosis. Osteoporos Int 17:527–534PubMedCrossRef Kanis JA et al (2006) The use of multiple sites for the diagnosis of osteoporosis. Osteoporos Int 17:527–534PubMedCrossRef
9.
go back to reference Griffith JF, Genant HK (2008) Bone mass and architecture determination: state of the art. Best Pract Res Clin Endocrinol Metab 22:737–764PubMedCrossRef Griffith JF, Genant HK (2008) Bone mass and architecture determination: state of the art. Best Pract Res Clin Endocrinol Metab 22:737–764PubMedCrossRef
10.
go back to reference Bergot C, Laval-Jeantet AM, Hutchinson K, Dautraix I, Caulin F, Genant HK (2001) A comparison of spinal quantitative computed tomography with dual energy X-ray absorptiometry in European women with vertebral and nonvertebral fractures. Calcif Tissue Int 68:74–82PubMedCrossRef Bergot C, Laval-Jeantet AM, Hutchinson K, Dautraix I, Caulin F, Genant HK (2001) A comparison of spinal quantitative computed tomography with dual energy X-ray absorptiometry in European women with vertebral and nonvertebral fractures. Calcif Tissue Int 68:74–82PubMedCrossRef
11.
go back to reference Griffith JF, Engelke K, Genant HK (2010) Looking beyond bone mineral density: imaging assessment of bone quality. Ann NY Acad Sci 1192:45–56PubMedCrossRef Griffith JF, Engelke K, Genant HK (2010) Looking beyond bone mineral density: imaging assessment of bone quality. Ann NY Acad Sci 1192:45–56PubMedCrossRef
12.
go back to reference Roux J, Wegrzyn J, Arlot M, Guyen O, Delmas P, Chapurlat R, Bouxsein M (2009) Contribution of trabecular and cortical components to biomechanical behavior of human vertebrae: an ex-vivo study. J Bone Miner Res 25(2):356–361CrossRef Roux J, Wegrzyn J, Arlot M, Guyen O, Delmas P, Chapurlat R, Bouxsein M (2009) Contribution of trabecular and cortical components to biomechanical behavior of human vertebrae: an ex-vivo study. J Bone Miner Res 25(2):356–361CrossRef
13.
go back to reference Siris ES, Chen YT, Abbott TA, Barrett-Connor E, Miller PD, Wehren LE, Berger ML (2004) Bone mineral density thresholds for pharmacological intervention to prevent fractures. Arch Intern Med 164:1108–1112PubMedCrossRef Siris ES, Chen YT, Abbott TA, Barrett-Connor E, Miller PD, Wehren LE, Berger ML (2004) Bone mineral density thresholds for pharmacological intervention to prevent fractures. Arch Intern Med 164:1108–1112PubMedCrossRef
14.
go back to reference Hayes WC (1991) Biomechanics of cortical and trabecular bone: Implications for assessment of fracture risk. In: Hayes, WC (ed) Basic orthopaedics biomechanics, Raven press, pp. 93–142. Hayes WC (1991) Biomechanics of cortical and trabecular bone: Implications for assessment of fracture risk. In: Hayes, WC (ed) Basic orthopaedics biomechanics, Raven press, pp. 93–142.
16.
go back to reference Davison KS et al (2006) Bone strength: the whole is greater than the sum of its parts. Semin Arthritis Rheum 36:22–31PubMedCrossRef Davison KS et al (2006) Bone strength: the whole is greater than the sum of its parts. Semin Arthritis Rheum 36:22–31PubMedCrossRef
17.
go back to reference Ammann P, Rizzoli R (2003) Bone strength and its determinants. Osteoporos Int 14(Suppl 3):S13–S18PubMed Ammann P, Rizzoli R (2003) Bone strength and its determinants. Osteoporos Int 14(Suppl 3):S13–S18PubMed
18.
go back to reference Viguet-Carrin S, Garnero P, Delmas PD (2006) The role of collagen in bone strength. Osteoporos Int 17:319–336PubMedCrossRef Viguet-Carrin S, Garnero P, Delmas PD (2006) The role of collagen in bone strength. Osteoporos Int 17:319–336PubMedCrossRef
19.
go back to reference McDonnell P, McHugh PE, O'Mahoney D (2007) Vertebral osteoporosis and trabecular bone quality. Ann Biomed Eng 35:170–189PubMedCrossRef McDonnell P, McHugh PE, O'Mahoney D (2007) Vertebral osteoporosis and trabecular bone quality. Ann Biomed Eng 35:170–189PubMedCrossRef
20.
21.
go back to reference Augat P, Schorlemmer S (2006) The role of cortical bone and its microstructure in bone strength. Age Ageing 35 Suppl 2: ii27-ii31. Augat P, Schorlemmer S (2006) The role of cortical bone and its microstructure in bone strength. Age Ageing 35 Suppl 2: ii27-ii31.
22.
go back to reference Dong XN, Guo XE (2004) The dependence of transversely isotropic elasticity of human femoral cortical bone on porosity 37(8):1281–1287 Dong XN, Guo XE (2004) The dependence of transversely isotropic elasticity of human femoral cortical bone on porosity 37(8):1281–1287
23.
go back to reference Turner CH (2002) Biomechanics of bone: determinants of skeletal fragility and bone quality. Osteoporos Int 13:97–104PubMedCrossRef Turner CH (2002) Biomechanics of bone: determinants of skeletal fragility and bone quality. Osteoporos Int 13:97–104PubMedCrossRef
24.
go back to reference Ciarelli TE, Fyhrie DP, Schaffler MB, Goldstein SA (2000) Variations in three-dimensional cancellous bone architecture of the proximal femur in female hip fractures and in controls. J Bone Miner Res 15:32–40PubMedCrossRef Ciarelli TE, Fyhrie DP, Schaffler MB, Goldstein SA (2000) Variations in three-dimensional cancellous bone architecture of the proximal femur in female hip fractures and in controls. J Bone Miner Res 15:32–40PubMedCrossRef
25.
go back to reference Homminga J, Van-Rietbergen B, Lochmuller EM, Weinans H, Eckstein F, Huiskes R (2004) The osteoporotic vertebral structure is well adapted to the loads of daily life, but not to infrequent "error" loads. Bone 34:510–516PubMedCrossRef Homminga J, Van-Rietbergen B, Lochmuller EM, Weinans H, Eckstein F, Huiskes R (2004) The osteoporotic vertebral structure is well adapted to the loads of daily life, but not to infrequent "error" loads. Bone 34:510–516PubMedCrossRef
26.
go back to reference Ulrich D, van Rietbergen B, Laib A, Ruegsegger P (1999) The ability of three-dimensional structural indices to reflect mechanical aspects of trabecular bone. Bone 25:55–60PubMedCrossRef Ulrich D, van Rietbergen B, Laib A, Ruegsegger P (1999) The ability of three-dimensional structural indices to reflect mechanical aspects of trabecular bone. Bone 25:55–60PubMedCrossRef
27.
go back to reference Matsuura M, Eckstein F, Lochmuller EM, Zysset PK (2007) The role of fabric in the quasi-static compressive mechanical properties of human trabecular bone from various anatomical locations. Biomech Model Mechanobiol 19:19 Matsuura M, Eckstein F, Lochmuller EM, Zysset PK (2007) The role of fabric in the quasi-static compressive mechanical properties of human trabecular bone from various anatomical locations. Biomech Model Mechanobiol 19:19
28.
go back to reference Wenzel TE, Schaffler MB, Fyhrie DP (1996) In vivo trabecular microcracks in human vertebral bone. Bone 19:89–95PubMedCrossRef Wenzel TE, Schaffler MB, Fyhrie DP (1996) In vivo trabecular microcracks in human vertebral bone. Bone 19:89–95PubMedCrossRef
29.
go back to reference Keaveny TM, Guo XE, Wachtel EF, McMahon TA, Hayes WC (1994) Trabecular bone exhibits fully linear elastic behavior and yields at low strains. J Biomech 27:1127–1136PubMedCrossRef Keaveny TM, Guo XE, Wachtel EF, McMahon TA, Hayes WC (1994) Trabecular bone exhibits fully linear elastic behavior and yields at low strains. J Biomech 27:1127–1136PubMedCrossRef
30.
go back to reference Boivin GY, Chavassieux PM, Santora AC, Yates J, Meunier PJ (2000) Alendronate increases bone strength by increasing the mean degree of mineralization of bone tissue in osteoporotic women. Bone 27:687–694PubMedCrossRef Boivin GY, Chavassieux PM, Santora AC, Yates J, Meunier PJ (2000) Alendronate increases bone strength by increasing the mean degree of mineralization of bone tissue in osteoporotic women. Bone 27:687–694PubMedCrossRef
31.
go back to reference Rincon-Kohli L, Zysset PK (2009) Multi-axial mechanical properties of human trabecular bone. Biomech Model Mechanobiol 8:195–208PubMedCrossRef Rincon-Kohli L, Zysset PK (2009) Multi-axial mechanical properties of human trabecular bone. Biomech Model Mechanobiol 8:195–208PubMedCrossRef
32.
go back to reference Zysset PK (2003) A review of morphology–elasticity relationships in human trabecular bone: theories and experiments. J Biomech 36:1469–1485PubMedCrossRef Zysset PK (2003) A review of morphology–elasticity relationships in human trabecular bone: theories and experiments. J Biomech 36:1469–1485PubMedCrossRef
33.
go back to reference Helgason B, Perilli E, Schileo E, Taddei F, Brynjolfsson S, Viceconti M (2008) Mathematical relationships between bone density and mechanical properties: a literature review. Clin Biomech (Bristol, Avon) 23:135–146CrossRef Helgason B, Perilli E, Schileo E, Taddei F, Brynjolfsson S, Viceconti M (2008) Mathematical relationships between bone density and mechanical properties: a literature review. Clin Biomech (Bristol, Avon) 23:135–146CrossRef
34.
go back to reference Zysset PK, Rincon-Kohli L (2006) An alternative fabric-based yield and failure criterion for treabecular bone. In: Holzapfel G, Ogden R (eds) Mechanics of biological tissue. Springer, Berlin, pp 457–470CrossRef Zysset PK, Rincon-Kohli L (2006) An alternative fabric-based yield and failure criterion for treabecular bone. In: Holzapfel G, Ogden R (eds) Mechanics of biological tissue. Springer, Berlin, pp 457–470CrossRef
35.
go back to reference Garcia D, Zysset PK, Charlebois M, Curnier A (2009) A three-dimensional elastic plastic damage constitutive law for bone tissue. Biomech Model Mechanobiol 8:149–165PubMedCrossRef Garcia D, Zysset PK, Charlebois M, Curnier A (2009) A three-dimensional elastic plastic damage constitutive law for bone tissue. Biomech Model Mechanobiol 8:149–165PubMedCrossRef
36.
go back to reference Imai K, Ohnishi I, Bessho M, Nakamura K (2006) Nonlinear finite element model predicts vertebral bone strength and fracture site. Spine 31:1789–1794PubMedCrossRef Imai K, Ohnishi I, Bessho M, Nakamura K (2006) Nonlinear finite element model predicts vertebral bone strength and fracture site. Spine 31:1789–1794PubMedCrossRef
37.
go back to reference Dall’Ara E, Schmidt R, Pahr D, Varga P, Chevalier Y, Patsch J, Kainberger F, Zysset P (2010) A nonlinear finite element model validation study based on a novel experimental technique for inducing anterior wedge-shape fractures in human vertebral bodies in vitro. J Biomech 43:2374–2380PubMedCrossRef Dall’Ara E, Schmidt R, Pahr D, Varga P, Chevalier Y, Patsch J, Kainberger F, Zysset P (2010) A nonlinear finite element model validation study based on a novel experimental technique for inducing anterior wedge-shape fractures in human vertebral bodies in vitro. J Biomech 43:2374–2380PubMedCrossRef
38.
go back to reference Chevalier Y, Pahr D, Zysset PK (2009) The role of cortical shell and trabecular fabric in finite element analysis of the human vertebral body. J Biomech Eng 131:111003PubMedCrossRef Chevalier Y, Pahr D, Zysset PK (2009) The role of cortical shell and trabecular fabric in finite element analysis of the human vertebral body. J Biomech Eng 131:111003PubMedCrossRef
39.
go back to reference Buckley JM, Loo K, Motherway J (2007) Comparison of quantitative computed tomography-based measures in predicting vertebral compressive strength. Bone 40:767–774PubMedCrossRef Buckley JM, Loo K, Motherway J (2007) Comparison of quantitative computed tomography-based measures in predicting vertebral compressive strength. Bone 40:767–774PubMedCrossRef
40.
go back to reference Silva MJ, Keaveny TM, Hayes WC (1998) Computed tomography-based finite element analysis predicts failure loads and fracture patterns for vertebral sections. J Orthop Res 16:300–308PubMedCrossRef Silva MJ, Keaveny TM, Hayes WC (1998) Computed tomography-based finite element analysis predicts failure loads and fracture patterns for vertebral sections. J Orthop Res 16:300–308PubMedCrossRef
41.
go back to reference Zeinali A, Hashemi B, Akhlaghpoor S (2010) Noninvasive prediction of vertebral body compressive strength using nonlinear finite element method and an image based technique. Phys Med 26:88–97PubMedCrossRef Zeinali A, Hashemi B, Akhlaghpoor S (2010) Noninvasive prediction of vertebral body compressive strength using nonlinear finite element method and an image based technique. Phys Med 26:88–97PubMedCrossRef
42.
go back to reference Cristofolini L, Schileo E, Juszczyk M, Taddei F, Martelli S, Viceconti M (2010) Mechanical testing of bones: the positive synergy of finite-element models and in vitro experiments. Philos Transact A Math Phys Eng Sci 368:2725–2763PubMedCrossRef Cristofolini L, Schileo E, Juszczyk M, Taddei F, Martelli S, Viceconti M (2010) Mechanical testing of bones: the positive synergy of finite-element models and in vitro experiments. Philos Transact A Math Phys Eng Sci 368:2725–2763PubMedCrossRef
43.
go back to reference Brianza SZ, D'Amelio P, Pugno N, Delise M, Bignardi C, Isaia G (2007) Allometric scaling and biomechanical behavior of the bone tissue: an experimental intraspecific investigation. Bone 40:1635–1642PubMedCrossRef Brianza SZ, D'Amelio P, Pugno N, Delise M, Bignardi C, Isaia G (2007) Allometric scaling and biomechanical behavior of the bone tissue: an experimental intraspecific investigation. Bone 40:1635–1642PubMedCrossRef
44.
go back to reference Mulder L, Van Rietbergen B, Noordhoek N, Ito K (2010) Determination of in-vivo vertebral and femural trabecular morphology and stiffness using a flat-panel CT fluoroscopy approach. 17th congress of the European society of biomechanics, University of Edinburgh, UK, 4–8 July 2010. Mulder L, Van Rietbergen B, Noordhoek N, Ito K (2010) Determination of in-vivo vertebral and femural trabecular morphology and stiffness using a flat-panel CT fluoroscopy approach. 17th congress of the European society of biomechanics, University of Edinburgh, UK, 4–8 July 2010.
45.
go back to reference Pahr D, Dall’Ara E, Varga P, Zysset P (2010) Homogenized continuum-level finite element models predict experimental vertebral stiffness and strength with the same accuracy as μFE models. 17th congress of the European society of biomechanics, University of Edinburgh, UK, 4–8 July 2010. Pahr D, Dall’Ara E, Varga P, Zysset P (2010) Homogenized continuum-level finite element models predict experimental vertebral stiffness and strength with the same accuracy as μFE models. 17th congress of the European society of biomechanics, University of Edinburgh, UK, 4–8 July 2010.
46.
go back to reference Varga P, Baumbach S, Pahr D, Zysset PK (2009) Validation of an anatomy specific finite element model of Colles’ fracture. J Biomech 42(11):1726–1731PubMedCrossRef Varga P, Baumbach S, Pahr D, Zysset PK (2009) Validation of an anatomy specific finite element model of Colles’ fracture. J Biomech 42(11):1726–1731PubMedCrossRef
47.
go back to reference Varga P, Pahr D, Dall'Ara E, Baumbach S, Pretterklieber M, Zysset P (2010) Calibrated HR-pQCT-based microFE models of ultra-distal radius sections provide outstanding prediction of experimental Colles' fracture load. 17th congress of the European society of biomechanics, University of Edinburgh, UK, 4–8 July 2010. Varga P, Pahr D, Dall'Ara E, Baumbach S, Pretterklieber M, Zysset P (2010) Calibrated HR-pQCT-based microFE models of ultra-distal radius sections provide outstanding prediction of experimental Colles' fracture load. 17th congress of the European society of biomechanics, University of Edinburgh, UK, 4–8 July 2010.
48.
go back to reference Macneil JA, Boyd SK (2008) Bone strength at the distal radius can be estimated from high-resolution peripheral quantitative computed tomography and the finite element method. Bone 42:1203–1213PubMedCrossRef Macneil JA, Boyd SK (2008) Bone strength at the distal radius can be estimated from high-resolution peripheral quantitative computed tomography and the finite element method. Bone 42:1203–1213PubMedCrossRef
49.
go back to reference Mueller TL, Stauber M, Kohler T, Eckstein F, Muller R, van Lenthe GH (2009) Non-invasive bone competence analysis by high-resolution pQCT: an in vitro reproducibility study on structural and mechanical properties at the human radius. Bone 44:364–371PubMedCrossRef Mueller TL, Stauber M, Kohler T, Eckstein F, Muller R, van Lenthe GH (2009) Non-invasive bone competence analysis by high-resolution pQCT: an in vitro reproducibility study on structural and mechanical properties at the human radius. Bone 44:364–371PubMedCrossRef
50.
go back to reference Pahr DH, Zysset PK (2009) From high-resolution CT data to finite element models: development of an integrated modular framework. Comput Meth Biomech Biomed Engin 12:45–57CrossRef Pahr DH, Zysset PK (2009) From high-resolution CT data to finite element models: development of an integrated modular framework. Comput Meth Biomech Biomed Engin 12:45–57CrossRef
51.
go back to reference Burghardt AJ, Kazakia GJ, Link TM, Majumdar S (2009) Automated simulation of areal bone mineral density assessment in the distal radius from high-resolution peripheral quantitative computed tomography. Osteoporos Int 20:2017–2024PubMedCrossRef Burghardt AJ, Kazakia GJ, Link TM, Majumdar S (2009) Automated simulation of areal bone mineral density assessment in the distal radius from high-resolution peripheral quantitative computed tomography. Osteoporos Int 20:2017–2024PubMedCrossRef
52.
go back to reference Chevalier Y, Charlebois M, Pahra D, Varga P, Heini P, Schneider E, Zysset P (2008) A patient-specific finite element methodology to predict damage accumulation in vertebral bodies under axial compression, sagittal flexion and combined loads. Comput Meth Biomech Biomed Engin 11:477–487CrossRef Chevalier Y, Charlebois M, Pahra D, Varga P, Heini P, Schneider E, Zysset P (2008) A patient-specific finite element methodology to predict damage accumulation in vertebral bodies under axial compression, sagittal flexion and combined loads. Comput Meth Biomech Biomed Engin 11:477–487CrossRef
53.
go back to reference Chevalier Y, Pahr D, Zysset PK (2009) The role of cortical shell and trabecular fabric in finite element analysis of the human vertebral body. J Biomech Eng 131(11):111003PubMedCrossRef Chevalier Y, Pahr D, Zysset PK (2009) The role of cortical shell and trabecular fabric in finite element analysis of the human vertebral body. J Biomech Eng 131(11):111003PubMedCrossRef
54.
go back to reference Dall'Ara E, Varga P, Pahr D, Zysset P (2010) Local BMD calibration of human vertebrae QCT using registered micro-CT images. European Symposium on Calcified Tissues 2010, Glasgow, UK, 26–30 June 2010. Dall'Ara E, Varga P, Pahr D, Zysset P (2010) Local BMD calibration of human vertebrae QCT using registered micro-CT images. European Symposium on Calcified Tissues 2010, Glasgow, UK, 26–30 June 2010.
55.
go back to reference Zysset PK, Curnier A (1996) A 3D damage model for trabecular bone based on fabric tensors. J Biomech 29:1549–1558PubMed Zysset PK, Curnier A (1996) A 3D damage model for trabecular bone based on fabric tensors. J Biomech 29:1549–1558PubMed
56.
go back to reference Laib A, Hauselmann HJ, Ruegsegger P (1998) In vivo high resolution 3D-QCT of the human forearm. Technol Health Care 6:329–337PubMed Laib A, Hauselmann HJ, Ruegsegger P (1998) In vivo high resolution 3D-QCT of the human forearm. Technol Health Care 6:329–337PubMed
57.
go back to reference Arbenz P, van Lenthe GH, Mennel U, Mueller R, Sala M (2008) A scalable multi-level preconditioner for matrix-free-finite element analysis of human bone structures. Int J Numer Methods Eng 73:927–947CrossRef Arbenz P, van Lenthe GH, Mennel U, Mueller R, Sala M (2008) A scalable multi-level preconditioner for matrix-free-finite element analysis of human bone structures. Int J Numer Methods Eng 73:927–947CrossRef
58.
go back to reference Steiger JH (1980) Tests for comparing elements of a correlation matrix. Psychol bullettin 87:245–251CrossRef Steiger JH (1980) Tests for comparing elements of a correlation matrix. Psychol bullettin 87:245–251CrossRef
59.
go back to reference Crawford RP, Cann CE, Keaveny TM (2003) Finite element models predict in vitro vertebral body compressive strength better than quantitative computed tomography. Bone 33:744–750PubMedCrossRef Crawford RP, Cann CE, Keaveny TM (2003) Finite element models predict in vitro vertebral body compressive strength better than quantitative computed tomography. Bone 33:744–750PubMedCrossRef
Metadata
Title
QCT-based finite element models predict human vertebral strength in vitro significantly better than simulated DEXA
Authors
E. Dall’Ara
D. Pahr
P. Varga
F. Kainberger
P. Zysset
Publication date
01-02-2012
Publisher
Springer-Verlag
Published in
Osteoporosis International / Issue 2/2012
Print ISSN: 0937-941X
Electronic ISSN: 1433-2965
DOI
https://doi.org/10.1007/s00198-011-1568-3

Other articles of this Issue 2/2012

Osteoporosis International 2/2012 Go to the issue