{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,28]],"date-time":"2026-09-28T16:49:38Z","timestamp":1790614178942,"version":"4.1.0"},"reference-count":66,"publisher":"Oxford University Press (OUP)","issue":"7","license":[{"start":{"date-parts":[[2013,3,3]],"date-time":"2013-03-03T00:00:00Z","timestamp":1362268800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013,7,1]]},"abstract":"<jats:title>ABSTRACT<\/jats:title>\n               <jats:sec>\n                  <jats:title>\u2003<\/jats:title>\n                  <jats:p>Although high-resolution peripheral quantitative computed tomography (HR-pQCT) has advanced clinical assessment of trabecular bone microstructure, nonlinear microstructural finite element (\u00b5FE) prediction of yield strength using a HR-pQCT voxel model is impractical for clinical use due to its prohibitively high computational costs. The goal of this study was to develop an efficient HR-pQCT-based plate and rod (PR) modeling technique to fill the unmet clinical need for fast bone strength estimation. By using an individual trabecula segmentation (ITS) technique to segment the trabecular structure into individual plates and rods, a patient-specific PR model was implemented by modeling each trabecular plate with multiple shell elements and each rod with a beam element. To validate this modeling technique, predictions by HR-pQCT PR model were compared with those of the registered high-resolution micro\u2013computed tomography (HR-\u00b5CT) voxel model of 19 trabecular subvolumes from human cadaveric tibia samples. Both the Young's modulus and yield strength of HR-pQCT PR models strongly correlated with those of \u00b5CT voxel models (r2\u2009=\u20090.91 and 0.86). Notably, the HR-pQCT PR models achieved major reductions in element number (&amp;gt;40-fold) and computer central processing unit (CPU) time (&amp;gt;1200-fold). Then, we applied PR model \u00b5FE analysis to HR-pQCT images of 60 postmenopausal women with (n\u2009=\u200930) and without (n\u2009=\u200930) a history of vertebral fracture. HR-pQCT PR model revealed significantly lower Young's modulus and yield strength at the radius and tibia in fracture subjects compared to controls. Moreover, these mechanical measurements remained significantly lower in fracture subjects at both sites after adjustment for areal bone mineral density (aBMD) T-score at the ultradistal radius or total hip. In conclusion, we validated a novel HR-pQCT PR model of human trabecular bone against \u00b5CT voxel models and demonstrated its ability to discriminate vertebral fracture status in postmenopausal women. This accurate nonlinear \u00b5FE prediction of the HR-pQCT PR model, which requires only seconds of desktop computer time, has tremendous promise for clinical assessment of bone strength.<\/jats:p>\n               <\/jats:sec>","DOI":"10.1002\/jbmr.1919","type":"journal-article","created":{"date-parts":[[2013,3,4]],"date-time":"2013-03-04T13:42:35Z","timestamp":1362404555000},"page":"1666-1678","source":"Crossref","is-referenced-by-count":34,"title":["Fast Trabecular Bone Strength Predictions of HR-pQCT and Individual Trabeculae Segmentation\u2013Based Plate and Rod Finite Element Model Discriminate Postmenopausal Vertebral Fractures"],"prefix":"10.1093","volume":"28","author":[{"given":"X Sherry","family":"Liu","sequence":"first","affiliation":[{"name":"McKay Orthopaedic Research Laboratory, Department of Orthopaedic SurgeryUniversity of PennsylvaniaPhiladelphiaPAUSA"},{"name":"Division of Endocrinology, Department of MedicineColumbia UniversityNew YorkNYUSA"},{"name":"Bone Bioengineering Laboratory, Department of Biomedical EngineeringColumbia UniversityNew YorkNYUSA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ji","family":"Wang","sequence":"additional","affiliation":[{"name":"Bone Bioengineering Laboratory, Department of Biomedical EngineeringColumbia UniversityNew YorkNYUSA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Bin","family":"Zhou","sequence":"additional","affiliation":[{"name":"Bone Bioengineering Laboratory, Department of Biomedical EngineeringColumbia UniversityNew YorkNYUSA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Emily","family":"Stein","sequence":"additional","affiliation":[{"name":"Division of Endocrinology, Department of MedicineColumbia UniversityNew YorkNYUSA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiutao","family":"Shi","sequence":"additional","affiliation":[{"name":"Bone Bioengineering Laboratory, Department of Biomedical EngineeringColumbia UniversityNew YorkNYUSA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mark","family":"Adams","sequence":"additional","affiliation":[{"name":"Department of Applied Physics and Applied MathematicsColumbia UniversityNew YorkNYUSA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Elizabeth","family":"Shane","sequence":"additional","affiliation":[{"name":"Division of Endocrinology, Department of MedicineColumbia UniversityNew YorkNYUSA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"X Edward","family":"Guo","sequence":"additional","affiliation":[{"name":"Bone Bioengineering Laboratory, Department of Biomedical EngineeringColumbia UniversityNew YorkNYUSA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2013,3,3]]},"reference":[{"issue":"2","key":"2024020318373639300_jbmr1919-bib-0001","doi-asserted-by":"crossref","first-page":"114","DOI":"10.1007\/BF01880454","article-title":"NIH Consensus Development Panel on Osteoporosis Prevention. Consensus Development Conference. Prophylaxis and treatment of osteoporosis","volume":"1","author":"Conference Report","year":"1991","journal-title":"Osteoporos Int."},{"issue":"2","key":"2024020318373639300_jbmr1919-bib-0002","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1016\/0021-9290(88)90008-5","article-title":"On the dependence of the elasticity and strength of cancellous bone on apparent density","volume":"21","author":"Rice","year":"1988","journal-title":"J Biomech."},{"key":"2024020318373639300_jbmr1919-bib-0003","doi-asserted-by":"crossref","first-page":"S14","DOI":"10.1007\/BF01673396","article-title":"Role of trabecular morphology in the etiology of age-related vertebral fractures","volume":"53","author":"Snyder","year":"1993","journal-title":"Calcif Tissue Int."},{"issue":"4","key":"2024020318373639300_jbmr1919-bib-0004","doi-asserted-by":"crossref","first-page":"375","DOI":"10.1016\/0021-9290(94)90014-0","article-title":"The relationship between the structural and orthogonal compressive properties of trabecular bone","volume":"27","author":"Goulet","year":"1994","journal-title":"J Biomech."},{"key":"2024020318373639300_jbmr1919-bib-0005","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1146\/annurev.bioeng.3.1.307","article-title":"Biomechanics of trabecular bone","volume":"3","author":"Keaveny","year":"2001","journal-title":"Annu Rev Biomed Eng."},{"issue":"9","key":"2024020318373639300_jbmr1919-bib-0006","doi-asserted-by":"crossref","first-page":"1127","DOI":"10.1016\/0021-9290(94)90053-1","article-title":"Trabecular bone exhibits fully linear elastic behavior and yields at low strains","volume":"27","author":"Keaveny","year":"1994","journal-title":"J Biomech."},{"issue":"5","key":"2024020318373639300_jbmr1919-bib-0007","doi-asserted-by":"crossref","first-page":"569","DOI":"10.1016\/S0021-9290(01)00011-2","article-title":"Dependence of yield strain of human trabecular bone on anatomic site","volume":"34","author":"Morgan","year":"2001","journal-title":"J Biomech."},{"issue":"12","key":"2024020318373639300_jbmr1919-bib-0008","doi-asserted-by":"crossref","first-page":"1575","DOI":"10.1016\/S0021-9290(00)00149-4","article-title":"High-resolution finite element models with tissue strength asymmetry accurately predict failure of trabecular bone","volume":"33","author":"Niebur","year":"2000","journal-title":"J Biomech."},{"issue":"6","key":"2024020318373639300_jbmr1919-bib-0009","doi-asserted-by":"crossref","first-page":"629","DOI":"10.1115\/1.2800865","article-title":"Convergence behavior of high-resolution finite element models of trabecular bone","volume":"121","author":"Niebur","year":"1999","journal-title":"J Biomech Eng."},{"issue":"12","key":"2024020318373639300_jbmr1919-bib-0010","doi-asserted-by":"crossref","first-page":"6508","DOI":"10.1210\/jc.2005-1258","article-title":"In vivo assessment of trabecular bone microarchitecture by high-resolution peripheral quantitative computed tomography","volume":"90","author":"Boutroy","year":"2005","journal-title":"J Clin Endocrinol Metab."},{"issue":"4","key":"2024020318373639300_jbmr1919-bib-0011","doi-asserted-by":"crossref","first-page":"463","DOI":"10.1359\/jbmr.071116","article-title":"In vivo determination of bone structure in postmenopausal women: a comparison of HR-pQCT and high-field MR imaging","volume":"23","author":"Kazakia","year":"2008","journal-title":"J Bone Miner Res."},{"issue":"5","key":"2024020318373639300_jbmr1919-bib-0012","doi-asserted-by":"crossref","first-page":"730","DOI":"10.1359\/jbmr.080108","article-title":"In vivo magnetic resonance detects rapid remodeling changes in the topology of the trabecular bone network after menopause and the protective effect of estradiol","volume":"23","author":"Wehrli","year":"2008","journal-title":"J Bone Miner Res."},{"issue":"3","key":"2024020318373639300_jbmr1919-bib-0013","doi-asserted-by":"crossref","first-page":"392","DOI":"10.1359\/jbmr.071108","article-title":"Finite element analyses based on in vivo HR-pQCT images of the distal radius is associated with wrist fracture in postmenopausal women","volume":"23","author":"Boutroy","year":"2008","journal-title":"J Bone Miner Res."},{"issue":"4","key":"2024020318373639300_jbmr1919-bib-0014","doi-asserted-by":"crossref","first-page":"746","DOI":"10.1359\/jbmr.090822","article-title":"High-resolution peripheral quantitative computed tomography can assess microstructural and mechanical properties of human distal tibial bone","volume":"25","author":"Liu","year":"2010","journal-title":"J Bone Miner Res."},{"issue":"6","key":"2024020318373639300_jbmr1919-bib-0015","doi-asserted-by":"crossref","first-page":"1203","DOI":"10.1016\/j.bone.2008.01.017","article-title":"Bone strength at the distal radius can be estimated from high-resolution peripheral quantitative computed tomography and the finite element method","volume":"42","author":"Macneil","year":"2008","journal-title":"Bone."},{"issue":"9","key":"2024020318373639300_jbmr1919-bib-0016","doi-asserted-by":"crossref","first-page":"2039","DOI":"10.1002\/jbmr.92","article-title":"Accuracy of high-resolution in vivo micro magnetic resonance imaging for measurements of microstructural and mechanical properties of human distal tibial bone","volume":"25","author":"Liu","year":"2010","journal-title":"J Bone Miner Res."},{"issue":"4","key":"2024020318373639300_jbmr1919-bib-0017","doi-asserted-by":"crossref","first-page":"1030","DOI":"10.1016\/j.bone.2009.12.015","article-title":"Finite element analysis performed on radius and tibia HR-pQCT images and fragility fractures at all sites in postmenopausal women","volume":"46","author":"Vilayphiou","year":"2010","journal-title":"Bone."},{"issue":"9","key":"2024020318373639300_jbmr1919-bib-0018","doi-asserted-by":"crossref","first-page":"1426","DOI":"10.1359\/jbmr.080405","article-title":"In vivo \u00b5MRI based finite element and morphological analyses of tibial trabecular bone in eugonadal and hypogonadal men before and after testosterone treatment","volume":"23","author":"Zhang","year":"2008","journal-title":"J Bone Miner Res."},{"issue":"8","key":"2024020318373639300_jbmr1919-bib-0019","doi-asserted-by":"crossref","first-page":"1783","DOI":"10.1002\/jbmr.378","article-title":"Better skeletal microstructure confers greater mechanical advantages in Chinese-American women versus Caucasian women","volume":"26","author":"Liu","year":"2011","journal-title":"J Bone Miner Res."},{"issue":"12","key":"2024020318373639300_jbmr1919-bib-0020","doi-asserted-by":"crossref","first-page":"2558","DOI":"10.1002\/jbmr.157","article-title":"A longitudinal HR-pQCT study of alendronate treatment in postmenopausal women with low bone density: Relations among density, cortical and trabecular microarchitecture, biomechanics, and bone turnover","volume":"25","author":"Burghardt","year":"2010","journal-title":"J Bone Miner Res."},{"issue":"7","key":"2024020318373639300_jbmr1919-bib-0021","doi-asserted-by":"crossref","first-page":"1161","DOI":"10.1007\/s00198-009-1047-2","article-title":"Assessing forearm fracture risk in postmenopausal women","volume":"21","author":"Melton","year":"2010","journal-title":"Osteoporos Int."},{"issue":"10","key":"2024020318373639300_jbmr1919-bib-0022","doi-asserted-by":"crossref","first-page":"E1918","DOI":"10.1210\/jc.2012-1968","article-title":"Microarchitectural abnormalities are more severe in postmenopausal women with vertebral compared to nonvertebral fractures","volume":"97","author":"Stein","year":"2012","journal-title":"J Clin Endocrinol Metab."},{"issue":"7","key":"2024020318373639300_jbmr1919-bib-0023","doi-asserted-by":"crossref","first-page":"2041","DOI":"10.1210\/jc.2011-0309","article-title":"Abnormal microarchitecture and stiffness in postmenopausal women with ankle fractures","volume":"96","author":"Stein","year":"2011","journal-title":"J Clin Endocrinol Metab."},{"issue":"12","key":"2024020318373639300_jbmr1919-bib-0024","doi-asserted-by":"crossref","first-page":"2296","DOI":"10.1002\/jbmr.152","article-title":"Abnormal microarchitecture and reduced stiffness at the radius and tibia in postmenopausal women with fractures","volume":"25","author":"Stein","year":"2010","journal-title":"J Bone Miner Res."},{"issue":"6","key":"2024020318373639300_jbmr1919-bib-0025","doi-asserted-by":"crossref","first-page":"1218","DOI":"10.1016\/j.bone.2006.06.016","article-title":"Influence of bone volume fraction and architecture on computed large-deformation failure mechanisms in human trabecular bone","volume":"39","author":"Bevill","year":"2006","journal-title":"Bone."},{"issue":"7","key":"2024020318373639300_jbmr1919-bib-0026","doi-asserted-by":"crossref","first-page":"1486","DOI":"10.1002\/jbmr.50","article-title":"Individual trabeculae segmentation (ITS)-based morphological analyses of high resolution peripheral quantitative computed tomography images detect abnormal trabecular plate and rod microarchitecture in premenopausal women with idiopathic osteoporosis","volume":"25","author":"Liu","year":"2010","journal-title":"J Bone Miner Res."},{"issue":"10","key":"2024020318373639300_jbmr1919-bib-0027","doi-asserted-by":"crossref","first-page":"1608","DOI":"10.1359\/jbmr.060716","article-title":"Quantification of the roles of trabecular microarchitecture and trabecular type in determining the elastic modulus of human trabecular bone","volume":"21","author":"Liu","year":"2006","journal-title":"J Bone Miner Res."},{"issue":"4","key":"2024020318373639300_jbmr1919-bib-0028","doi-asserted-by":"crossref","first-page":"586","DOI":"10.1359\/jbmr.060102","article-title":"Importance of individual rods and plates in the assessment of bone quality and their contribution to bone stiffness","volume":"21","author":"Stauber","year":"2006","journal-title":"J Bone Miner Res."},{"issue":"8","key":"2024020318373639300_jbmr1919-bib-0029","doi-asserted-by":"crossref","first-page":"1520","DOI":"10.1359\/jbmr.2001.16.8.1520","article-title":"Digital topological analysis of in vivo magnetic resonance microimages of trabecular bone reveals structural implications of osteoporosis","volume":"16","author":"Wehrli","year":"2001","journal-title":"J Bone Miner Res."},{"issue":"3","key":"2024020318373639300_jbmr1919-bib-0030","doi-asserted-by":"crossref","first-page":"362","DOI":"10.1016\/j.bone.2012.06.008","article-title":"Local topological analysis at the distal radius by HR-pQCT: Application to in vivo bone microarchitecture and fracture assessment in the OFELY study","volume":"51","author":"Pialat","year":"2012","journal-title":"Bone."},{"key":"2024020318373639300_jbmr1919-bib-0031","first-page":"420","article-title":"Specimen-specific plate-rod microstructural finite element model efficiently predicts the elastic moduli and yield strength of human vertebral trabecular bone","volume":"33","author":"Liu","year":"2008","journal-title":"Trans Orthop Res Soc."},{"key":"2024020318373639300_jbmr1919-bib-0032","first-page":"68","article-title":"HR-pQCT-based specimen-specific plate-rod microstructural finite element model accurately and efficiently predicts the elastic modulus of human trabecular bone at distal tibia","volume":"35","author":"Liu","year":"2010","journal-title":"Trans Orthop Res Soc."},{"issue":"2","key":"2024020318373639300_jbmr1919-bib-0033","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1359\/jbmr.071009","article-title":"Complete volumetric decomposition of individual trabecular plates and rods and its morphological correlations with anisotropic elastic moduli in human trabecular bone","volume":"23","author":"Liu","year":"2008","journal-title":"J Bone Miner Res."},{"key":"2024020318373639300_jbmr1919-bib-0034","author":"Zhou"},{"issue":"18","key":"2024020318373639300_jbmr1919-bib-0035","doi-asserted-by":"crossref","first-page":"4245","DOI":"10.1088\/0031-9155\/50\/18\/001","article-title":"Tissue-mimicking phantom materials for narrowband and ultrawideband microwave applications","volume":"50","author":"Lazebnik","year":"2005","journal-title":"Phys Med Biol."},{"issue":"2","key":"2024020318373639300_jbmr1919-bib-0036","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1023\/A:1007958904918","article-title":"Alignment by maximization of mutual information","volume":"24","author":"Viola","year":"1997","journal-title":"Int J Comput Vis."},{"key":"2024020318373639300_jbmr1919-bib-0037","first-page":"263","volume-title":"Information processing in medical imaging. Dordrecht","author":"Collignon","year":"1995"},{"key":"2024020318373639300_jbmr1919-bib-0038","author":"Ib\u00e1\u00f1ez","year":"2005"},{"issue":"10","key":"2024020318373639300_jbmr1919-bib-0039","doi-asserted-by":"crossref","first-page":"1096","DOI":"10.1016\/j.medengphy.2006.11.002","article-title":"Accuracy of high-resolution peripheral quantitative computed tomography for measurement of bone quality","volume":"29","author":"MacNeil","year":"2007","journal-title":"Med Eng Phys."},{"issue":"9","key":"2024020318373639300_jbmr1919-bib-0040","doi-asserted-by":"crossref","first-page":"2184","DOI":"10.1002\/jbmr.420","article-title":"Individual trabecula segmentation (ITS)-based morphological analysis of micro-scale images of human tibial trabecular bone at limited spatial resolution","volume":"26","author":"Liu","year":"2011","journal-title":"J Bone Miner Res."},{"issue":"9","key":"2024020318373639300_jbmr1919-bib-0041","doi-asserted-by":"crossref","first-page":"1137","DOI":"10.1002\/jbmr.5650080915","article-title":"Vertebral fracture assessment using a semiquantitative technique","volume":"8","author":"Genant","year":"1993","journal-title":"J Bone Miner Res."},{"issue":"3","key":"2024020318373639300_jbmr1919-bib-0042","doi-asserted-by":"crossref","first-page":"425","DOI":"10.1359\/jbmr.061206","article-title":"Alterations of cortical and trabecular architecture are associated with fractures in postmenopausal women, partially independent of decreased BMD measured by DXA: the OFELY study","volume":"22","author":"Sornay-Rendu","year":"2007","journal-title":"J Bone Miner Res."},{"issue":"5\u20136","key":"2024020318373639300_jbmr1919-bib-0043","doi-asserted-by":"crossref","first-page":"329","DOI":"10.3233\/THC-1998-65-606","article-title":"In vivo high resolution 3D-QCT of the human forearm","volume":"6","author":"Laib","year":"1998","journal-title":"Technol Health Care."},{"issue":"10","key":"2024020318373639300_jbmr1919-bib-0044","doi-asserted-by":"crossref","first-page":"1028","DOI":"10.1109\/34.329007","article-title":"Detection of 3-D simple points for topology preserving","volume":"16","author":"Saha","year":"1994","journal-title":"IEEE Trans Pattern Anal Mach Intell."},{"issue":"3","key":"2024020318373639300_jbmr1919-bib-0045","doi-asserted-by":"crossref","first-page":"418","DOI":"10.1006\/cviu.1996.0032","article-title":"3D digital topology under binary transformation with applications","volume":"63","author":"Saha","year":"1996","journal-title":"Comput Vis Image Underst."},{"issue":"12","key":"2024020318373639300_jbmr1919-bib-0046","doi-asserted-by":"crossref","first-page":"1939","DOI":"10.1016\/S0031-3203(97)00016-2","article-title":"A new shape preserving parallel thinning algorithm for 3D digital images","volume":"30","author":"Saha","year":"1997","journal-title":"Pattern Recogn."},{"key":"2024020318373639300_jbmr1919-bib-0047","author":"Liu","year":"2007"},{"issue":"9","key":"2024020318373639300_jbmr1919-bib-0048","doi-asserted-by":"crossref","first-page":"1137","DOI":"10.1016\/0021-9290(94)90054-X","article-title":"Differences between the tensile and compressive strengths of bovine tibial trabecular bone depend on modulus","volume":"27","author":"Keaveny","year":"1994","journal-title":"J Biomech."},{"issue":"37\u201338","key":"2024020318373639300_jbmr1919-bib-0049","doi-asserted-by":"crossref","first-page":"4889","DOI":"10.1016\/S0045-7825(00)00355-8","article-title":"On the formulation and numerical solution of problems in anisotropic finite plasticity","volume":"190","author":"Papadopoulos","year":"2001","journal-title":"Comp Meth Appl Mech Eng."},{"issue":"1\u20132","key":"2024020318373639300_jbmr1919-bib-0050","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0045-7825(98)80101-1","article-title":"A general framework for the numerical solution of problems in finite elasto-plasticity","volume":"159","author":"Papadopoulos","year":"1998","journal-title":"Comput Methods Appl Mech Eng."},{"issue":"1","key":"2024020318373639300_jbmr1919-bib-0051","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1016\/S0021-9290(03)00257-4","article-title":"Comparison of the elastic and yield properties of human femoral trabecular and cortical bone tissue","volume":"37","author":"Bayraktar","year":"2004","journal-title":"J Biomech."},{"key":"2024020318373639300_jbmr1919-bib-0052","author":"Adams","year":"2004"},{"issue":"10","key":"2024020318373639300_jbmr1919-bib-0053","doi-asserted-by":"crossref","first-page":"2229","DOI":"10.1002\/jbmr.111","article-title":"Bone density, geometry, microstructure and stiffness: relationships between peripheral and central skeletal sites assessed by DXA, HR-pQCT, and cQCT in premenopausal women","volume":"25","author":"Liu","year":"2010","journal-title":"J Bone Miner Res."},{"issue":"4","key":"2024020318373639300_jbmr1919-bib-0054","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1080\/10255840412331285943","article-title":"A new computational efficient approach for trabecular bone analysis using beam models generated with skeletonized graph technique","volume":"7","author":"Pothuaud","year":"2004","journal-title":"Comput Methods Biomech Biomed Engin."},{"issue":"1","key":"2024020318373639300_jbmr1919-bib-0055","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1080\/10255840410001656408","article-title":"A finite element beam-model for efficient simulation of large-scale porous structures","volume":"7","author":"Stauber","year":"2004","journal-title":"Comput Methods Biomech Biomed Engin."},{"issue":"6","key":"2024020318373639300_jbmr1919-bib-0056","doi-asserted-by":"crossref","first-page":"1182","DOI":"10.1016\/j.bone.2006.06.033","article-title":"Specimen-specific beam models for fast and accurate prediction of human trabecular bone mechanical properties","volume":"39","author":"van Lenthe","year":"2006","journal-title":"Bone."},{"issue":"3","key":"2024020318373639300_jbmr1919-bib-0057","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1016\/j.jbiomech.2008.10.035","article-title":"Micromechanical analyses of vertebral trabecular bone based on individual trabeculae segmentation of plates and rods","volume":"42","author":"Liu","year":"2009","journal-title":"J Biomech."},{"issue":"2","key":"2024020318373639300_jbmr1919-bib-0058","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1002\/jbmr.562","article-title":"Individual trabecula segmentation (ITS)-based morphological analyses and micro finite element analysis of HR-pQCT images discriminate postmenopausal fragility fractures independent of DXA measurements","volume":"27","author":"Liu","year":"2012","journal-title":"J Bone Miner Res."},{"key":"2024020318373639300_jbmr1919-bib-0059","article-title":"Accuracy of individual trabecula segmentation based plate-rod finite element models in idealized trabecular bone microstructure","author":"Wang","journal-title":"J Biomech Eng."},{"issue":"8","key":"2024020318373639300_jbmr1919-bib-0060","doi-asserted-by":"crossref","first-page":"1566","DOI":"10.1016\/j.jbiomech.2011.02.082","article-title":"Fast and accurate specimen-specific simulation of trabecular bone elastic modulus using novel beam-shell finite element models","volume":"44","author":"Vanderoost","year":"2010","journal-title":"J Biomech."},{"issue":"2","key":"2024020318373639300_jbmr1919-bib-0061","doi-asserted-by":"crossref","first-page":"392","DOI":"10.1016\/j.bone.2006.02.070","article-title":"Strength of cancellous bone trabecular tissue from normal, ovariectomized and drug-treated rats over the course of ageing","volume":"39","author":"McNamara","year":"2006","journal-title":"Bone."},{"issue":"2","key":"2024020318373639300_jbmr1919-bib-0062","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1016\/0021-9290(93)90042-D","article-title":"Young's modulus of trabecular and cortical bone material: ultrasonic and microtensile measurements","volume":"26","author":"Rho","year":"1993","journal-title":"J Biomech."},{"issue":"20","key":"2024020318373639300_jbmr1919-bib-0063","doi-asserted-by":"crossref","first-page":"1325","DOI":"10.1016\/S0142-9612(97)00073-2","article-title":"Elastic properties of human cortical and trabecular lamellar bone measured by nanoindentation","volume":"18","author":"Rho","year":"1997","journal-title":"Biomaterials."},{"issue":"1","key":"2024020318373639300_jbmr1919-bib-0064","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1016\/0021-9290(95)80008-5","article-title":"A new method to determine trabecular bone elastic properties and loading using micromechanical finite-element models","volume":"28","author":"van Rietbergen","year":"1995","journal-title":"J Biomech."},{"issue":"9","key":"2024020318373639300_jbmr1919-bib-0065","doi-asserted-by":"crossref","first-page":"1731","DOI":"10.1016\/j.jbiomech.2010.02.026","article-title":"Valid micro finite element models of vertebral trabecular bone can be obtained using tissue properties measured with nanoindentation under wet conditions","volume":"43","author":"Wolfram","year":"2010","journal-title":"J Biomech."},{"issue":"4","key":"2024020318373639300_jbmr1919-bib-0066","doi-asserted-by":"crossref","first-page":"481","DOI":"10.1115\/1.2746368","article-title":"Effects of thresholding techniques on microCT-based finite element models of trabecular bone","volume":"129","author":"Kim","year":"2007","journal-title":"J Biomech Eng."}],"container-title":["Journal of Bone and Mineral Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fjbmr.1919","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/academic.oup.com\/jbmr\/article-pdf\/28\/7\/1666\/56562906\/jbmr1919.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/academic.oup.com\/jbmr\/article-pdf\/28\/7\/1666\/56562906\/jbmr1919.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,13]],"date-time":"2024-03-13T14:49:10Z","timestamp":1710341350000},"score":1,"resource":{"primary":{"URL":"https:\/\/academic.oup.com\/jbmr\/article\/28\/7\/1666-1678\/7598600"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,3,3]]},"references-count":66,"journal-issue":{"issue":"7","published-online":{"date-parts":[[2013,3,3]]},"published-print":{"date-parts":[[2013,7,1]]}},"URL":"https:\/\/doi.org\/10.1002\/jbmr.1919","relation":{},"ISSN":["0884-0431","1523-4681"],"issn-type":[{"value":"0884-0431","type":"print"},{"value":"1523-4681","type":"electronic"}],"subject":[],"published-other":{"date-parts":[[2013,7,1]]},"published":{"date-parts":[[2013,3,3]]}}}