, thousand oaks , ca , usa ) is a fully human monoclonal antibody that inhibits receptor activator of nf-b ligand ( rankl ) , a key modulator of osteoclast formation , function , and survival.14 in the phase 3 fracture reduction evaluation of denosumab in osteoporosis every 6 months ( freedom ) study of 7808 postmenopausal women with osteoporosis , aged between 60 and 90 years , denosumab treatment reduced the risk of hip and new vertebral fractures over 36 months compared with placebo by 40% and 68% , respectively.5 the fracture efficacy in the overall freedom population was associated with significant differences from baseline to month 36 between denosumab and placebo in areal bone mineral density ( bmd ) at the total hip and lumbar spine of 6.4% and 8.8% , respectively,6 and rapid and marked reductions in markers of bone resorption with an attenuation of the reduction at the end of each 6-month dosing interval.5,7 despite the insight gained from the changes in bmd and bone turnover markers , it remains unclear to what extent denosumab altered hip or spine strength compared with baseline and placebo , and the extent that denosumab modified bone strength in the trabecular and cortical compartments , both of which are relevant to understanding mechanisms of fracture protection . because directly measuring the strength of any bone in a living human subject is not feasible , an alternative and fda - approved approach to monitor treatment effects is to noninvasively estimate changes in strength using finite element analysis ( fea ) of quantitative computed tomography ( qct ) scans . consistently validated for assessment of whole - bone strength in various cadaver studies,816 fea of hip and spine qct scans has been shown to predict new incident hip1719 and spine16 fractures and to differentiate those with or without prevalent spine2023 and general fractures.24 fea has also been used to study aging effects in hip strength,25 estimate changes in hip2629 and spine28,3033 strength in response to various treatments as well as space flight,34 and estimate changes in strength that are directly associated with changes in the bone compartments.35,36 to gain further insight into the observed clinical efficacy of denosumab in reducing the risk of hip and spine fractures , in a subset of subjects in the freedom study , we applied fea to the hip and spine qct scans to noninvasively assess changes in hip and spine strength associated with denosumab treatment over 36 months . freedom was an international , randomized , placebo - controlled study in postmenopausal women with osteoporosis.5 participants received placebo or denosumab 60 mg subcutaneously every 6 months for 36 months , with daily supplements of calcium ( 1000 mg ) and vitamin d ( 400 iu ) . postmenopausal women aged between 60 and 90 years with a bmd t - score of < 2.5 at the lumbar spine and/or total hip , and not < 4.0 at either site , were included in the study . women were excluded if they had any severe or > 2 moderate vertebral fractures , conditions that affected bone metabolism , or had taken oral bisphosphonates for 36 months . women were eligible if they had taken oral bisphosphonates for 36 months but none during the 12 months preceding enrollment into the study . study centers in the freedom study , with expertise and access to a qualified scanner , invited subjects to participate in a substudy of the hip and lumbar spine qct measurements . calibration issues and unavailability of analyzable scans at different time points limited the analyses to 99 subjects ( n = 48 placebo ; n = 51 denosumab ) . the protocol was approved by an independent ethics committee or institutional review board at each study site . details of the methods and main results of the freedom study have been reported previously.5 the qct methodology used to assess bmd and geometric parameters of the total hip and lumbar spine using whole - body scanners at selected study centers has been described previously , as has the main bmd analysis.37 scans were performed at 120 kv with a pitch of 1 using 170 mas in the hip and 100 mas in the spine , and reconstructed using a medium kernel and a field of view of 400 mm in the hip and 360 mm in the spine . scans were obtained at baseline , 12 , 24 , and 36 months , and covered 1 cm above the femoral head to 2 cm below the lesser trochanter for the hip assessment , or both l1 and l2 vertebrae for the spine assessment . scanner calibration and stability were assessed and documented by synarc ( portland , or , usa , and hamburg , germany ) circulating a european spine phantom ( esp ) . all image processing and image analysis for fea assessments diagnostics ( berkeley , ca , usa ) , as described elsewhere.19,25,26,28 briefly , the qct images were calibrated , segmented , and converted into finite element models ( 40,000 elements per model ) , using cube - shaped , eight - noded brick elements ( 1.5 mm - sided for the hip and 1.0 mm - sided for the spine ) . because delineating the true cortical envelope is difficult from clinical - resolution ct scans , particularly where the cortex is thin , we defined a cortical  compartment to include all obvious cortical bone ( defined as bone having an apparent bmd of > 1.0 g / cm ) plus any other bone within a fixed distance of the periosteal surface ( 3 mm for the hip ; 2 mm for the spine ) ; the trabecular compartment was defined as all remaining trabecular bone ( fig . element - specific elastic properties ( isotropic for the hip ; anisotropic for the spine ) and elastic - plastic failure properties were all derived from the calibrated volumetric bmd values , using validated empirical relations , and ( for the hip ) using higher strengths in compression than tension.3840 after registering each bone to its baseline configuration , boundary conditions were applied to simulate a severe , unprotected fall to the side of the hip , with the diaphysis angled at 15 with respect to the ground and 15 of internal rotation . femoral strength was defined from the resulting nonlinear force - strain curve of the whole femur as the force at 4.0% strain . for the spine , a similar approach was taken in which a thin layer of plastic was applied over each endplate through which the vertebral body was loaded to simulated failure in uniform compression . spine strength was defined from the resulting nonlinear force - strain curve of the whole vertebral body as the force at 1.9% strain . for both hip and spine , these implementations have been shown to provide excellent correlations with measured strength from biomechanical cadaver experiments with a y = x type of absolute agreement between model and experiment.16,19,41 example of finite element models for one subject at baseline . the full three - dimensional model is shown , with a schematic of how the loads are applied ( through center of head at hip ; distributed evenly for spine ) . the models for estimating strength changes associated with changes in only the trabecular and  cortical  compartments are also shown ( thin 2d sections only ) . our definition of the  cortical  compartment included all obvious cortical bone ( defined as bone having an apparent bmd of > 1.0 g / cm ) plus any other bone within a fixed distance of the periosteal surface ( 3 mm for the hip ; 2 mm for the spine ) ; the trabecular compartment was defined as all of the remaining trabecular bone . we also performed controlled variations of these models to provide additional strength outcomes , including trabecular and  cortical  strengths ( fig . hip trabecular strength was computed by turning all the bone in the  cortical  compartment at each time point into plastic ( a stiffer plastic for the compact cortical bone and a less stiff plastic for the adjacent trabecular bone ) and then virtually reloading the resulting model to failure as described above for the intact femur . likewise , hip  cortical  strength was computed by turning all the bone in the trabecular compartment into ( a low - stiffness ) plastic and then virtually reloading to failure,26 and spine trabecular strength was computed by virtually removing the outer 2 mm of bone and then virtually reloading to failure.32 because a spine model comprised only of a thin shell of cortical bone would be prone to buckling if virtually loaded to failure , which would have questionable relevance , spine  cortical  strength was calculated as the overall spine strength minus the spine trabecular strength . we note that these trabecular and  cortical  strengths were additive for the spine but not for the hip ; this is because of the complex nonparallel load transfer paths in the hip between the trabecular and  cortical  compartments , both of which were present in all hip models . subjects having both a baseline and 1 post - baseline fea result were included in the analysis . the percentage and absolute changes from baseline in hip and spine strength were analyzed using an analysis of covariance ( ancova ) model including treatment and adjusting for baseline value and age strata ( stratification factor ) . least - squares means and 95% confidence intervals ( cis ) for each treatment and for the treatment difference ( denosumab  placebo ) at each time point were generated . freedom was an international , randomized , placebo - controlled study in postmenopausal women with osteoporosis.5 participants received placebo or denosumab 60 mg subcutaneously every 6 months for 36 months , with daily supplements of calcium ( 1000 mg ) and vitamin d ( 400 iu ) . postmenopausal women aged between 60 and 90 years with a bmd t - score of < 2.5 at the lumbar spine and/or total hip , and not < 4.0 at either site , were included in the study . women were excluded if they had any severe or > 2 moderate vertebral fractures , conditions that affected bone metabolism , or had taken oral bisphosphonates for 36 months . women were eligible if they had taken oral bisphosphonates for 36 months but none during the 12 months preceding enrollment into the study . study centers in the freedom study , with expertise and access to a qualified scanner , invited subjects to participate in a substudy of the hip and lumbar spine qct measurements . calibration issues and unavailability of analyzable scans at different time points limited the analyses to 99 subjects ( n = 48 placebo ; n = 51 denosumab ) . the protocol was approved by an independent ethics committee or institutional review board at each study site . the qct methodology used to assess bmd and geometric parameters of the total hip and lumbar spine using whole - body scanners at selected study centers has been described previously , as has the main bmd analysis.37 scans were performed at 120 kv with a pitch of 1 using 170 mas in the hip and 100 mas in the spine , and reconstructed using a medium kernel and a field of view of 400 mm in the hip and 360 mm in the spine . scans were obtained at baseline , 12 , 24 , and 36 months , and covered 1 cm above the femoral head to 2 cm below the lesser trochanter for the hip assessment , or both l1 and l2 vertebrae for the spine assessment . scanner calibration and stability were assessed and documented by synarc ( portland , or , usa , and hamburg , germany ) circulating a european spine phantom ( esp ) . all image processing and image analysis for fea assessments diagnostics ( berkeley , ca , usa ) , as described elsewhere.19,25,26,28 briefly , the qct images were calibrated , segmented , and converted into finite element models ( 40,000 elements per model ) , using cube - shaped , eight - noded brick elements ( 1.5 mm - sided for the hip and 1.0 mm - sided for the spine ) . because delineating the true cortical envelope is difficult from clinical - resolution ct scans , particularly where the cortex is thin , we defined a cortical  compartment to include all obvious cortical bone ( defined as bone having an apparent bmd of > 1.0 g / cm ) plus any other bone within a fixed distance of the periosteal surface ( 3 mm for the hip ; 2 mm for the spine ) element - specific elastic properties ( isotropic for the hip ; anisotropic for the spine ) and elastic - plastic failure properties were all derived from the calibrated volumetric bmd values , using validated empirical relations , and ( for the hip ) using higher strengths in compression than tension.3840 after registering each bone to its baseline configuration , boundary conditions were applied to simulate a severe , unprotected fall to the side of the hip , with the diaphysis angled at 15 with respect to the ground and 15 of internal rotation . femoral strength was defined from the resulting nonlinear force - strain curve of the whole femur as the force at 4.0% strain . for the spine , a similar approach was taken in which a thin layer of plastic was applied over each endplate through which the vertebral body was loaded to simulated failure in uniform compression . spine strength was defined from the resulting nonlinear force - strain curve of the whole vertebral body as the force at 1.9% strain . for both hip and spine , these implementations have been shown to provide excellent correlations with measured strength from biomechanical cadaver experiments with a y = x type of absolute agreement between model and experiment.16,19,41 example of finite element models for one subject at baseline . the full three - dimensional model is shown , with a schematic of how the loads are applied ( through center of head at hip ; distributed evenly for spine ) . the models for estimating strength changes associated with changes in only the trabecular and  cortical  compartments are also shown ( thin 2d sections only ) . our definition of the  cortical  compartment included all obvious cortical bone ( defined as bone having an apparent bmd of > 1.0 g / cm ) plus any other bone within a fixed distance of the periosteal surface ( 3 mm for the hip ; 2 mm for the spine ) ; the trabecular compartment was defined as all of the remaining trabecular bone . we also performed controlled variations of these models to provide additional strength outcomes , including trabecular and  cortical  strengths ( fig . hip trabecular strength was computed by turning all the bone in the  cortical  compartment at each time point into plastic ( a stiffer plastic for the compact cortical bone and a less stiff plastic for the adjacent trabecular bone ) and then virtually reloading the resulting model to failure as described above for the intact femur . likewise , hip  cortical  strength was computed by turning all the bone in the trabecular compartment into ( a low - stiffness ) plastic and then virtually reloading to failure,26 and spine trabecular strength was computed by virtually removing the outer 2 mm of bone and then virtually reloading to failure.32 because a spine model comprised only of a thin shell of cortical bone would be prone to buckling if virtually loaded to failure , which would have questionable relevance , spine  cortical  strength was calculated as the overall spine strength minus the spine trabecular strength . we note that these trabecular and  cortical  strengths were additive for the spine but not for the hip ; this is because of the complex nonparallel load transfer paths in the hip between the trabecular and  cortical  compartments , both of which were present in all hip models . subjects having both a baseline and 1 post - baseline fea result were included in the analysis . there was no imputation of missing data . the percentage and absolute changes from baseline in hip and spine strength were analyzed using an analysis of covariance ( ancova ) model including treatment and adjusting for baseline value and age strata ( stratification factor ) . least - squares means and 95% confidence intervals ( cis ) for each treatment and for the treatment difference ( denosumab  placebo ) at each time point were generated . the baseline characteristics in this subset of women from the freedom study ( table 1 ) were similar to those reported for the overall study population.5 mean age was 74.1 years in the placebo group and 73.3 years in the denosumab group . mean total hip dual - energy x - ray absorptiometry ( dxa ) t - score was 2.0 and 1.7 in the placebo and denosumab groups , respectively , and 2.8 at the lumbar spine in both treatment groups . bmi = body mass index ; qct = quantitative computed tomography ; bmd = bone mineral density ; dxa = dual - energy x - ray absorptiometry ; fea = finite element analysis . for the women treated with denosumab , hip strength as estimated by fea increased significantly compared with baseline by 5.3% at 12 months ( p < 0.0001 ) and progressively over time , reaching 8.6% at 36 months ( p < 0.0001 compared with baseline and 12 months ) ( fig . by contrast , for the women treated with placebo , hip strength did not change at 12 months and decreased thereafter to 5.6% by 36 months compared with baseline ( p < 0.0001 ) . at 36 months , hip strength for the denosumab group similar changes occurred at the spine , but the increases in strength were larger . from baseline , spine strength increased by 18.2% ( p < 0.0001 ) for the denosumab group and decreased by 4.2% ( p = 0.002 ) for the placebo group at 36 months ( fig . 2b ) , corresponding to a relative increase in spine strength for the denosumab group of 22.4% compared with placebo ( p < 0.0001 ) . the corresponding absolute changes in strength at the hip and spine were also significantly higher for the denosumab group compared with baseline and the placebo group ( p  0.0001 for all ) . at 36 months , mean absolute change from baseline in estimated hip strength was + 196 newtons ( n ) in the denosumab group compared with 123 n in the placebo group ( p < 0.0001 ) . at the spine , strength increased by + 513 n in the denosumab group compared with a decrease of 127 n in the placebo group . mean percentage change from baseline in strength for the hip ( a ) and spine ( b ) , as estimated by the finite element analysis ( fea ) . * p < 0.0001 versus both baseline and placebo ; p < 0.0001 versus 12 months ; further analysis of the finite element models revealed increases in strength associated with changes in both the trabecular and  cortical  bone compartments in the denosumab group for both the hip and spine ( fig . 3 ) . by contrast , in the placebo group , the hip and spine strength associated with the trabecular compartment preferentially decreased from baseline through 36 months , whereas the strength associated with the  cortical  compartment was preserved . compartment strength for the hip ( a ) and spine ( b ) , as estimated by the finite element analysis ( fea ) , at 36 months . * p < 0.0001 versus both baseline and placebo ; p < 0.01 versus 12 months ; p < 0.005 versus baseline ; p < 0.05 versus 12 months . changes in hip strength were significantly , but weakly , correlated with changes in spine strength for the denosumab group ( r = 0.38 ; p = 0.02 ) but not for the placebo group ( r = 0.18 ; p = 0.39 ) ( fig . spine strength increased in all denosumab - treated subjects and hip strength increased in all but two subjects , whereas both the hip and spine strength decreased for the majority of placebo - treated subjects . relationship between changes from baseline in hip and spine strength ( in newtons ) , as estimated by the finite element analysis ( fea ) , in denosumab ( closed circles ) and placebo ( open circles ) subjects . in providing estimates of how denosumab alters both hip and spine strength compared with baseline and placebo , these results offer insight into the mechanisms by which denosumab reduces hip and spine fracture risk . the overall strength improvements observed here  which were all derived from fea of the qct scans and thus represent estimates of actual changes in strength  were relatively large at both the hip and spine , and substantiate the clinical relevance of the observed and previously described gains in dxa bmd with denosumab therapy , including the gains observed in the overall freedom study.5,6,42 indeed , the progressive increases in estimated strength in response to denosumab treatment reported here suggest that the continued gains in bmd from denosumab treatment , previously reported in the phase 2 study for up to 8 years and up to 6 years in the freedom extension study , are of clinical consequence.43,44 this finding is consistent with the strong relationship reported by austin and colleagues45 between dxa bmd gains and the documented fracture risk reductions with denosumab treatment . the improvements in estimated strength were associated with positive changes in hip and spine strength of both the trabecular and  cortical , these changes in compartmental strength can be influenced by changes in overall density and/or volume of the compartments , although we did not assess changes in volume . a recently published analysis of this qct cohort , using the mindways software,46 reported a significant treatment effect on the volumes of both the trabecular ( decrease ) and cortical ( increase ) compartments , but no volume change related to the external geometry , suggesting an endosteal shift of what was defined as trabecular to cortical bone . this could be real or may be associated with assumptions made in the trabecular  cortical segmentation by the mindways software . in general , it is impossible to explicitly differentiate trabecular from cortical bone from the resolution of the clinical qct scans used in this study . thus , a more definitive assessment of possible endosteal changes from trabecular to or from cortical bone remains an ongoing topic of active research . however , the finite element assessment in our study used a single continuous volume - averaged material property relation for the bone that does not depend on any classification into trabecular or cortical bone , and thus our finite element strength estimates are less influenced by the spatial voxel classification . the changes in trabecular and  cortical  strength , as computed for the hip , involve highly idealized models in which either the trabecular or  cortical results from those calculations , while insightful , need to be interpreted carefully because those homogenized compartments only reflect generic measures of bone density . the positive effect of denosumab on both the trabecular and  cortical  compartments , reported in other studies of denosumab versus placebo and versus alendronate,47,48 may be the result of denosumab s ability to robustly diminish bone resorption throughout the skeleton.49 the substantial reduction in bone resorption biomarkers,7 which occurs to a greater degree for denosumab than bisphosphonates,50,51 reflects a combination of rapidly arresting bone resorption and inhibiting osteoclastic differentiation throughout the skeleton.7,52 the data in the current study confirm that these changes appear robust across patients because improvements in strength from baseline were observed in nearly all subjects treated with denosumab . further , the large effect of denosumab treatment on the trabecular compartment directly reversed the significant trabecular loss that occurred in the placebo group . these findings suggest that for patients treated with calcium and vitamin d only ( placebo group ) , the trabecular bone is continually being lost , and therefore , overall femoral strength may eventually come to depend more on the remaining cortical bone as it takes up more load from the weakened trabecular compartment . if so , then the cortical bone might assume an added biomechanical role in those individuals having the greatest risk for hip fracture , as suggested by others,53,54 and improvements in the cortical compartment might therefore be particularly beneficial under those conditions . our results may help explain the hip fracture efficacy observed in freedom.5 in the present study , treatment with denosumab produced a 14.3% strength effect at 36 months relative to the effect in subjects treated with just calcium and vitamin d ( placebo group ) . other analyses of the freedom study have reported an age - related efficacy effect : hip fracture reduction increased from 40% in the overall cohort to 62% in subjects 75 years and older.48,55 in general , the degree of fracture efficacy of any treatment on fracture risk reduction in a clinical trial depends on both the fracture risk of the population at baseline as well as the effect of the treatment on the change in overall bone strength . biomechanically , for any individual patient , there should be a threshold effect related to the critical level of loading required to actually fracture a bone  external forces below the threshold do not fracture the bone , whereas forces above the threshold do , with little gray area between ( although that threshold force may vary across patients and with fall conditions and is difficult to predict).56 therefore , changes in strength in response to therapies might need not only to be compared with placebo ( for which strength is expected to decline over time ) , but also and perhaps more importantly , compared with baseline , with any possible threshold effect potentially acting as an interaction effect between these cohort and baseline factors . for example , the further an individual subject is from their own fracture threshold at the start of the study , the greater the strength improvement needed to take that individual above the fracture threshold force needed to prevent a fracture . these considerations imply that , in a clinical drug trial , increases in strength from baseline should improve fracture efficacy , and the larger the increase , the more robust the efficacy  but the efficacy itself may depend on the baseline level of strength , being greatest if the baseline strength , on average , is close to this putative fracture threshold in the majority of subjects . this mechanism could potentially explain the age - related hip efficacy observed in the freedom trial . in this way , interventions that merely maintain strength are expected to be better than no intervention at all and may be sufficient for people in whom the risk for fracture is not in an elevated category because such treatments would maintain strength at a sufficient level to avoid a fracture with a fall or equivalent trauma . however , actually improving strength may be necessary to reduce fracture rates in people at elevated fracture risk , particularly if their strength is low to start.56 there are limitations in our study . first , the small sample size prevented assessment of the relationship between changes in estimated strength and fracture outcomes at the subject level . however , the larger freedom trial , from which our sample was derived , randomly assigned participants to denosumab treatment or placebo , and the baseline characteristics were similar between our sample and the overall freedom cohort5 and were similar between treatment groups . thus , it is reasonable to assume that the general trends observed in the original freedom cohort would also apply to this substudy . although it is not possible to directly assess changes in whole - bone strength in living humans , fea of clinical qct scans is arguably the best currently available noninvasive technique that can be used in vivo in patients at both hip and spine locations.36 this technique has been validated by multiple independent research groups for the hip and spine in both cadaver bone strength816 and clinical fracture outcome studies,1624 and it is an fda - approved approach that provides an integrative outcome of whole - bone strength that is intuitively associated with the etiology of osteoporotic fractures . the models have limited spatial resolution ( 1 mm imaging voxels ) ; therefore , they can not capture the bone microstructure , including the trabecular microarchitecture , haversian porosity , any microstructure of the endosteal bone at the interface between well - defined cortical and trabecular bone , or the shell - type microstructure of the thin cortex around the femoral neck . for example , it has been proposed that reducing bone turnover and inhibiting  stress risers  may be an additional mechanism by which antiresorptive therapies reduce fracture risk,57,58 an effect that would serve to further increase strength for the denosumab group . lastly , no adjustment was made for any possible changes in the tissue - level material properties resulting from treatment , such as increased secondary mineralization . however , biomechanical studies in adult ovariectomized cynomolgus monkeys treated with denosumab for 16 months have shown no detectable biomechanical negative effects on tissue - level material properties.59 even so , results should be interpreted with these limitations in mind . in summary , denosumab administered subcutaneously at a dose of 60 mg every 6 months substantially improved fea estimates of hip and spine strength , both compared with baseline and the administration of calcium and vitamin d only over 36 months . these improvements were progressive over time and were influenced by parallel positive estimated strength changes in both the trabecular and  cortical  compartments . these observations highlight the potential benefit of denosumab to improve and reverse the negative consequence of postmenopausal- and aging - induced skeletal decay on strength , and to markedly reduce fracture incidence in subjects at increased or high risk for hip and spine fractures . mrm has received research grant support from amgen inc . and was an advisory board member for amgen inc . bms , genentech , eli lilly , gsk janssen , merck , novartis , pfizer , ono , roche , and servier , and is a shareholder of synarc . jrz has received research grant support from amgen inc . and is a consultant and speaker for amgen inc . , eli lilly , merck , novartis , and servier , and has received grant support from amgen inc . , biosante , eli lilly , gsk , merck , novartis , pfizer , roche , and servier . jpb is a consultant , speaker , and an advisory board member for amgen inc . , eli lilly , and merck , and has received research grant support and honoraria from abbott , amgen inc . , bms , eli lilly , merck , novartis , pfizer , roche , sanofi - aventis , servier , takeda , and warner chilcott . sg has received research grant support from amgen inc . and is a consultant for amgen inc . cr has received research grant support from medi , consulting and advisory fees from amgen inc . , eli lilly , and novartis , lecture fees from novartis and warner chilcott , and is a shareholder in ion med systems . re has received consulting fees from amgen inc . , gsk , novartis , ono , pfizer , servier , and warner chilcott , research grant support from amgen inc . , astrazeneca , novartis , and warner chilcott , and is a speaker for eli lilly . ke is an employee and shareholder of synarc , and is an advisory board member for amgen inc . hr and cl are employees of and own stock or stock options in amgen inc .
in the randomized , placebo - controlled freedom study of women aged 60 to 90 years with postmenopausal osteoporosis , treatment with denosumab once every 6 months for 36 months significantly reduced hip and new vertebral fracture risk by 40% and 68% , respectively . to gain further insight into this efficacy , we performed a nonlinear finite element analysis ( fea ) of hip and spine quantitative computed tomography ( qct ) scans to estimate hip and spine strength in a subset of freedom subjects ( n = 48 placebo ; n = 51 denosumab ) at baseline , 12 , 24 , and 36 months . 
 we found that , compared with baseline , the finite element estimates of hip strength increased from 12 months ( 5.3% ; p < 0.0001 ) and through 36 months ( 8.6% ; p < 0.0001 ) in the denosumab group . for the placebo group , 
 hip strength did not change at 12 months and decreased at 36 months ( 5.6% ; p < 0.0001 ) . 
 similar changes were observed at the spine : strength increased by 18.2% at 36 months for the denosumab group ( p < 0.0001 ) and decreased by 4.2% for the placebo group ( p = 0.002 ) . at 36 months , 
 hip and spine strength increased for the denosumab group compared with the placebo group by 14.3% ( p < 0.0001 ) and 22.4% ( p < 0.0001 ) , respectively . 
 further analysis of the finite element models indicated that strength associated with the trabecular bone was lost at the hip and spine in the placebo group , whereas strength associated with both the trabecular and cortical bone improved in the denosumab group . in conclusion , treatment with denosumab increased hip and spine strength as estimated by fea of qct scans compared with both baseline and placebo owing to positive treatment effects in both the trabecular and cortical bone compartments . 
 these findings provide insight into the mechanism by which denosumab reduces fracture risk for postmenopausal women with osteoporosis .