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<article xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="1.3" article-type="research-article" xml:lang="en"><processing-meta tagset-family="jats" base-tagset="archiving" mathml-version="3.0" table-model="xhtml"><custom-meta-group><custom-meta assigning-authority="highwire" xlink:type="simple"><meta-name>recast-jats-build</meta-name><meta-value>e082d6219a</meta-value></custom-meta></custom-meta-group></processing-meta><front><journal-meta><journal-id journal-id-type="hwp">bmjopen</journal-id><journal-id journal-id-type="nlm-ta">BMJ Open</journal-id><journal-id journal-id-type="publisher-id">bmjopen</journal-id><journal-title-group><journal-title>BMJ Open</journal-title><abbrev-journal-title abbrev-type="publisher">BMJ Open</abbrev-journal-title><abbrev-journal-title>BMJ Open</abbrev-journal-title></journal-title-group><issn pub-type="ppub">2044-6055</issn><issn pub-type="epub">2044-6055</issn><publisher><publisher-name>British Medical Journal Publishing Group</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">bmjopen-2018-022585</article-id><article-id pub-id-type="doi">10.1136/bmjopen-2018-022585</article-id><article-id pub-id-type="apath" assigning-authority="highwire">/bmjopen/8/9/e022585.atom</article-id><article-categories><subj-group subj-group-type="heading"><subject>Geriatric medicine</subject><subj-group><subject>Research</subject></subj-group></subj-group><subj-group subj-group-type="collection" assigning-authority="publisher"><subject>Open access</subject></subj-group><subj-group subj-group-type="collection" assigning-authority="publisher"><subject>Geriatric medicine</subject></subj-group><subj-group subj-group-type="collection" assigning-authority="highwire"><subject>Special collections</subject><subj-group><subject>BMJ Open</subject><subj-group><subject>Geriatric medicine</subject></subj-group></subj-group></subj-group></article-categories><title-group><article-title>Cost-effectiveness of single-dose zoledronic acid for nursing home residents with osteoporosis in the USA</article-title></title-group><contrib-group><contrib contrib-type="author" id="author-61008329" xlink:type="simple"><contrib-id contrib-id-type="orcid" authenticated="false">http://orcid.org/0000-0001-5114-3368</contrib-id><name name-style="western"><surname>Ito</surname><given-names>Kouta</given-names></name><xref ref-type="aff" rid="aff1">1</xref><xref ref-type="aff" rid="aff2">2</xref></contrib></contrib-group><aff id="aff1">
<label>1</label>
<institution content-type="department" xlink:type="simple">Department of Medicine</institution>, <institution xlink:type="simple">Hebrew SeniorLife</institution>, <addr-line content-type="city">Roslindale</addr-line>, <addr-line content-type="state">Massachusetts</addr-line>, <country>USA</country>
</aff><aff id="aff2">
<label>2</label>
<institution content-type="department" xlink:type="simple">Division of Gerontology, Department of Medicine</institution>, <institution xlink:type="simple">Beth Israel Deaconess Medical Center</institution>, <addr-line content-type="city">Boston</addr-line>, <addr-line content-type="state">Massachusetts</addr-line>, <country>USA</country>
</aff><author-notes><corresp>
<label>Correspondence to</label> Dr Kouta Ito; <email xlink:type="simple">KoutaIto@hsl.harvard.edu</email>
</corresp></author-notes><pub-date iso-8601-date="2018-09" pub-type="ppub"><month>9</month><year>2018</year></pub-date><pub-date iso-8601-date="2018-09-03" pub-type="epub-original"><day>3</day><month>9</month><year>2018</year></pub-date><pub-date iso-8601-date="2018-09-03T04:36:15-07:00" pub-type="hwp-received"><day>3</day><month>9</month><year>2018</year></pub-date><pub-date iso-8601-date="2018-09-03T04:36:15-07:00" pub-type="hwp-created"><day>3</day><month>9</month><year>2018</year></pub-date><volume>8</volume><issue>9</issue><elocation-id>e022585</elocation-id><history><date date-type="received" iso-8601-date="2018-02-27"><day>27</day><month>02</month><year>2018</year></date><date date-type="rev-recd" iso-8601-date="2018-06-08"><day>08</day><month>06</month><year>2018</year></date><date date-type="accepted" iso-8601-date="2018-07-24"><day>24</day><month>07</month><year>2018</year></date></history><permissions><copyright-statement>© Author(s) (or their employer(s)) 2018. Re-use permitted under CC BY-NC. No commercial re-use. See rights and permissions. Published by BMJ.</copyright-statement><copyright-year>2018</copyright-year><license license-type="open-access" xlink:href="http://creativecommons.org/licenses/" xlink:type="simple"><license-p>This is an open access article distributed in accordance with the Creative Commons Attribution Non Commercial (CC BY-NC 4.0) license, which permits others to distribute, remix, adapt, build upon this work non-commercially, and license their derivative works on different terms, provided the original work is properly cited, appropriate credit is given, any changes made indicated, and the use is non-commercial. See: <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by-nc/4.0/" xlink:type="simple">http://creativecommons.org/licenses/by-nc/4.0/</ext-link>.</license-p></license></permissions><self-uri content-type="pdf" xlink:href="bmjopen-2018-022585.pdf" xlink:type="simple"/><self-uri content-type="reviewers-comments-pdf" xlink:href="bmjopen-2018-022585.reviewer_comments.pdf" xlink:type="simple"/><self-uri content-type="draft-revisions-pdf" xlink:href="bmjopen-2018-022585.draft_revisions.pdf" xlink:type="simple"/><self-uri content-type="reviewers-comments-pdf" xlink:href="bmjopen-2018-022585.reviewer_comments.pdf" xlink:type="simple"/><self-uri content-type="draft-revisions-pdf" xlink:href="bmjopen-2018-022585.draft_revisions.pdf" xlink:type="simple"/><abstract><sec><title>Objective</title><p>To evaluate the cost-effectiveness of routine administration of single-dose zoledronic acid for nursing home residents with osteoporosis in the USA.</p></sec><sec><title>Design</title><p>Markov cohort simulation model based on published literature from a healthcare sector perspective over a lifetime horizon.</p></sec><sec><title>Setting</title><p>Nursing homes.</p></sec><sec><title>Participants</title><p>A hypothetical cohort of nursing home residents aged 85 years with osteoporosis.</p></sec><sec><title>Interventions</title><p>Two strategies were compared: (1) a single intravenous dose of zoledronic acid 5 mg and (2) usual care (supplementation of calcium and vitamin D only).</p></sec><sec><title>Primary and secondary outcome measures</title><p>Incremental cost-effectiveness ratio (ICER), as measured by cost per quality-adjusted life year (QALY) gained.</p></sec><sec><title>Results</title><p>Compared with usual care, zoledronic acid had an ICER of $207 400 per QALY gained and was not cost-effective at a conventional willingness-to-pay threshold of $100 000 per QALY gained. The results were robust to a reasonable range of assumptions about incidence, mortality, quality-of-life effects and the cost of hip fracture and the cost of zoledronic acid. Zoledronic acid had a potential to become cost-effective if a fracture risk reduction with zoledronic acid was higher than 23% or if 6-month mortality in nursing home residents was lower than 16%. Probabilistic sensitivity analysis showed that the zoledronic acid would be cost-effective in 14%, 27% and 44% of simulations at willingness-to-pay thresholds of $50 000, $100 000 or $200 000 per QALY gained, respectively.</p></sec><sec><title>Conclusions</title><p>Routine administration of single-dose zoledronic acid in nursing home residents with osteoporosis is not a cost-effective use of resources in the USA but could be justifiable in those with a favourable life expectancy.</p></sec></abstract><kwd-group><kwd>nursing homes</kwd><kwd>osteoporosis</kwd><kwd>hip fractures</kwd><kwd>zoledronic acid</kwd></kwd-group><custom-meta-group><custom-meta xlink:type="simple"><meta-name>special-feature</meta-name><meta-value>unlocked</meta-value></custom-meta></custom-meta-group></article-meta></front><body><boxed-text id="BX1" orientation="portrait" position="float"><caption><title>Strengths and limitations of this study</title></caption><list list-type="bullet"><list-item><p>A Markov cohort simulation model was developed based on currently available evidence to simulate the prognosis of nursing home residents with osteoporosis.</p></list-item><list-item><p>The fracture-reduction benefit of zoledronic acid was calculated using a surrogate outcome of bone mineral density (BMD), although the change in BMD can be used as supportive evidence of the effectiveness of treatment and may be useful to guide clinical practice and policy-making until a clinical trial measuring fracture as a primary outcome is available.</p></list-item><list-item><p>Our findings were robust to a reasonable range of assumptions about the incidence, excess mortality, quality-of-life effects, and cost of hip fracture and the cost of zoledronic acid.</p></list-item><list-item><p>Two-way sensitivity analyses were performed by simultaneously altering relative risk of hip fracture with zoledronic acid and 6-month mortality in nursing home residents.</p></list-item></list></boxed-text><sec id="s1" sec-type="intro"><title>Introduction </title><p>Hip fracture sustained in nursing homes is an important source of mortality, morbidity and healthcare expenditure. Nursing home residents account for approximately 8% of hip fracture in the USA, meaning that someone breaks hip every 23 min in nursing homes.<xref ref-type="bibr" rid="R1">1</xref> More than one in three nursing home residents die and more than a half either die or develop total dependence within 6 months of hip fracture,<xref ref-type="bibr" rid="R2 R3">2 3</xref> and there is little recovery of quality of life over 1 year of hip fracture.<xref ref-type="bibr" rid="R4">4</xref> Resource utilisations (eg, hospitalisation, emergency department visit, and contacts with physicians and therapists) increase substantially through 6 months after hip fracture.<xref ref-type="bibr" rid="R5">5</xref> Although hip fracture in nursing home residents is a compelling public health problem, the optimal fracture prevention strategy in this population remains an open question. Osteoporosis, a strong risk factor for hip fracture,<xref ref-type="bibr" rid="R6 R7">6 7</xref> is widespread with a prevalence of up to 85% in nursing homes.<xref ref-type="bibr" rid="R7 R8">7 8</xref> Nevertheless, the use of pharmacological agents for osteoporosis is uncommon among nursing home residents.<xref ref-type="bibr" rid="R9 R10 R11 R12">9–12</xref> Little is known about cost-effectiveness of pharmacotherapy for osteoporosis in nursing home residents. A recent clinical trial in frail institutionalised women with osteoporosis (the Zoledronic Acid in frail Elders to Strengthen bone (ZEST) study) demonstrated that a single intravenous dose of zoledronic acid 5 mg successfully increased bone mineral density (BMD) over 2 years.<xref ref-type="bibr" rid="R13">13</xref> The change in BMD can be used as supportive evidence of the effectiveness of treatment and may be useful to guide clinical practice and policy-making until a clinical trial measuring fracture as a primary outcome is available.<xref ref-type="bibr" rid="R14">14</xref> The objective of this study was to estimate the health and economic effect of routine administration of single-dose zoledronic acid in nursing home residents with osteoporosis.</p></sec><sec id="s2" sec-type="methods"><title>Methods</title><p>A Markov cohort simulation model was developed to simulate the prognosis of nursing home residents with osteoporosis. It was based on the previous published models of fracture prevention, which mirrored models used to support clinical practice guidelines in various countries, and adopted a healthcare sector perspective, a lifetime horizon and a discount rate of 3% per year for both health outcomes and costs.<xref ref-type="bibr" rid="R15 R16 R17 R18">15–18</xref> The analysis was performed using TreeAge Pro Suite 2016 software (TreeAge Software, Williamstown, Massachusetts, USA).</p><sec id="s2a"><title>Population</title><p>The target population reflected the participants of the ZEST study.<xref ref-type="bibr" rid="R13">13</xref> It was a hypothetical cohort of women aged 85 years who resided in nursing homes with low BMD (a T-score of ≤−2.0) at the spine, hip or radius. Those with cognitive and functional impairment, immobility, multiple medical conditions, and who were prescribed multiple medications were included. Those with a projected life expectancy less than 2 years or an estimated glomerular filtration rate below 30 mL/min were excluded.</p></sec><sec id="s2b"><title>Strategies</title><p>The model compared two strategies: (1) single intravenous dose of zoledronic acid and (2) usual care. Those in the zoledronic acid group received intravenous administration of zoledronic acid 5 mg over 45 min at their nursing homes. It was assumed a basic metabolic panel was ordered and comprehensive oral examination was performed prior to initiation of zoledronic acid. Those in the usual care group were observed without additional pharmacotherapy for osteoporosis. In both groups, residents received a daily supplementation of calcium (1200 mg) and vitamin D (800 IU). It was assumed that all residents who sustained hip fracture were hospitalised for operative management and returned to their nursing homes for postacute rehabilitation and subsequent long-term care.</p></sec><sec id="s2c"><title>Model</title><p>The model allocated and subsequently reallocated a cohort of nursing home residents into one of mutually exclusive health states (ie, prefracture, postfracture, or dead) (<xref ref-type="fig" rid="F1">figure 1</xref>). They entered the model in the prefracture state. Every 6 months, they were at risk for sustaining hip fracture. If they survived hip fracture, they moved into the postfracture state. If not, they moved into the dead state. Throughout their lifetime, all residents were at risk for death from causes unrelated to hip fracture. The model restricted analysis to hip fracture because the relationship between BMD and fracture rates seems less robust for other types of fracture (eg, vertebrae, wrist, proximal humerus, pelvis, rib and tibia/fibula). Each health state was assigned a quality-of-life weight (ie, utility) and a cost. Transitions occurred from one state to another every 6 months according to transition probabilities obtained from published sources.</p><fig id="F1" position="float" orientation="portrait"><object-id pub-id-type="publisher-id">F1</object-id><label>Figure 1</label><caption><p>The Markov model structure.</p></caption><graphic xlink:href="bmjopen-2018-022585f1" position="float" orientation="portrait" xlink:type="simple"/></fig></sec><sec id="s2d"><title>Parameters</title><p>Model parameters are summarised in <xref ref-type="table" rid="T1">table 1</xref> and described in greater detail below.</p><table-wrap id="T1" position="float" orientation="portrait"><object-id pub-id-type="publisher-id">T1</object-id><label>Table 1</label><caption><p>Model parameters</p></caption><table frame="hsides" rules="groups"><thead><tr><td valign="bottom" align="left" rowspan="1" colspan="1">Parameter</td><td valign="bottom" align="left" rowspan="1" colspan="1">Value</td><td valign="bottom" align="left" rowspan="1" colspan="1">Range</td><td valign="bottom" align="left" rowspan="1" colspan="1">Distribution</td><td valign="bottom" align="left" rowspan="1" colspan="1">Reference</td></tr></thead><tbody><tr><td valign="top" align="left" rowspan="1" colspan="1">Incidence of hip fracture (per year)</td><td valign="top" align="left" rowspan="1" colspan="1">2.5%</td><td valign="top" align="left" rowspan="1" colspan="1">50%–200% of the base-case</td><td valign="top" align="left" rowspan="1" colspan="1">Beta</td><td valign="top" align="left" rowspan="1" colspan="1">
<xref ref-type="bibr" rid="R1">1</xref>
</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1">Fracture risk reduction with zoledronic acid</td><td valign="top" align="left" rowspan="1" colspan="1">15%</td><td valign="top" align="left" rowspan="1" colspan="1">50%–200% of the base-case</td><td valign="top" align="left" rowspan="1" colspan="1">Log-normal</td><td valign="top" align="left" rowspan="1" colspan="1">
<xref ref-type="bibr" rid="R6 R13 R23">6 13 23</xref>
</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1">Baseline 6-month mortality</td><td valign="top" align="left" rowspan="1" colspan="1">22%</td><td valign="top" align="left" rowspan="1" colspan="1">50%–200% of the base-case</td><td valign="top" align="left" rowspan="1" colspan="1">Beta</td><td valign="top" align="left" rowspan="1" colspan="1">
<xref ref-type="bibr" rid="R3 R25">3 25</xref>
</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1">Excess mortality after hip fracture</td><td valign="top" align="left" rowspan="1" colspan="1">33%</td><td valign="top" align="left" rowspan="1" colspan="1">50%–200% of the base-case</td><td valign="top" align="left" rowspan="1" colspan="1">Log-normal</td><td valign="top" align="left" rowspan="1" colspan="1">
<xref ref-type="bibr" rid="R25">25</xref>
</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1">Utility</td><td valign="top" align="left" rowspan="1" colspan="1"/><td valign="top" align="left" rowspan="1" colspan="1"/><td valign="top" align="left" rowspan="1" colspan="1"/><td valign="top" align="left" rowspan="1" colspan="1"/></tr><tr><td valign="top" align="left" rowspan="1" colspan="1"> Prefracture state</td><td valign="top" align="left" rowspan="1" colspan="1">0.62</td><td valign="top" align="left" rowspan="1" colspan="1">0.42–0.82</td><td valign="top" align="left" rowspan="1" colspan="1">Beta</td><td valign="top" align="left" rowspan="1" colspan="1">
<xref ref-type="bibr" rid="R4">4</xref>
</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1"> Hip fracture</td><td valign="top" align="left" rowspan="1" colspan="1">0.35</td><td valign="top" align="left" rowspan="1" colspan="1">0.11–0.57</td><td valign="top" align="left" rowspan="1" colspan="1">Beta</td><td valign="top" align="left" rowspan="1" colspan="1">
<xref ref-type="bibr" rid="R4">4</xref>
</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1"> Postfracture state</td><td valign="top" align="left" rowspan="1" colspan="1">0.41</td><td valign="top" align="left" rowspan="1" colspan="1">0.11–0.71</td><td valign="top" align="left" rowspan="1" colspan="1">Beta</td><td valign="top" align="left" rowspan="1" colspan="1">
<xref ref-type="bibr" rid="R4">4</xref>
</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1">Cost ($)</td><td valign="top" align="left" rowspan="1" colspan="1"/><td valign="top" align="left" rowspan="1" colspan="1"/><td valign="top" align="left" rowspan="1" colspan="1"/><td valign="top" align="left" rowspan="1" colspan="1"/></tr><tr><td valign="top" align="left" rowspan="1" colspan="1"> Zoledronic acid</td><td valign="top" align="left" rowspan="1" colspan="1"/><td valign="top" align="left" rowspan="1" colspan="1"/><td valign="top" align="left" rowspan="1" colspan="1"/><td valign="top" align="left" rowspan="1" colspan="1"/></tr><tr><td valign="top" align="left" rowspan="1" colspan="1">  Drug cost</td><td valign="top" align="left" rowspan="1" colspan="1">176</td><td valign="top" align="left" rowspan="1" colspan="1">50%–200 % of the base-case</td><td valign="top" align="left" rowspan="1" colspan="1">Gamma</td><td valign="top" align="left" rowspan="1" colspan="1">
<xref ref-type="bibr" rid="R26">26</xref>
</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1">  Administration cost</td><td valign="top" align="left" rowspan="1" colspan="1">199</td><td valign="top" align="left" rowspan="1" colspan="1">50%–200% of the base-case</td><td valign="top" align="left" rowspan="1" colspan="1">Gamma</td><td valign="top" align="left" rowspan="1" colspan="1">
<xref ref-type="bibr" rid="R27">27</xref>
</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1"> Basic metabolic panel</td><td valign="top" align="left" rowspan="1" colspan="1">10</td><td valign="top" align="left" rowspan="1" colspan="1">50%–200% of the base-case</td><td valign="top" align="left" rowspan="1" colspan="1">Gamma</td><td valign="top" align="left" rowspan="1" colspan="1">
<xref ref-type="bibr" rid="R28">28</xref>
</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1"> Dental examination</td><td valign="top" align="left" rowspan="1" colspan="1">73</td><td valign="top" align="left" rowspan="1" colspan="1">50%–200% of the base-case</td><td valign="top" align="left" rowspan="1" colspan="1">Gamma</td><td valign="top" align="left" rowspan="1" colspan="1">
<xref ref-type="bibr" rid="R29">29</xref>
</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1"> Hip fracture</td><td valign="top" align="left" rowspan="1" colspan="1"/><td valign="top" align="left" rowspan="1" colspan="1"/><td valign="top" align="left" rowspan="1" colspan="1"/><td valign="top" align="left" rowspan="1" colspan="1"/></tr><tr><td valign="top" align="left" rowspan="1" colspan="1">  Hospitalisation</td><td valign="top" align="left" rowspan="1" colspan="1">41 908</td><td valign="top" align="left" rowspan="1" colspan="1">50%–200% of the base-case</td><td valign="top" align="left" rowspan="1" colspan="1">Gamma</td><td valign="top" align="left" rowspan="1" colspan="1">
<xref ref-type="bibr" rid="R30">30</xref>
</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1">  Rehabilitation</td><td valign="top" align="left" rowspan="1" colspan="1">4736</td><td valign="top" align="left" rowspan="1" colspan="1">50%–200% of the base-case</td><td valign="top" align="left" rowspan="1" colspan="1">Gamma</td><td valign="top" align="left" rowspan="1" colspan="1">
<xref ref-type="bibr" rid="R30">30</xref>
</td></tr></tbody></table></table-wrap><sec id="s2d1"><title>Fracture incidence</title><p>The incidence rate of hip fracture in nursing home residents was taken from a cohort study of Medicare claims linked with the Minimum Data Set (MDS).<xref ref-type="bibr" rid="R1">1</xref>
</p></sec><sec id="s2d2"><title>Effectiveness of zoledronic acid</title><p>Fracture-reduction benefits observed in younger, less frail, community-dwelling women (eg, the Health Outcomes and Reduced Incidence with Zoledronic Acid Once Yearly Pivotal Fracture Trial (HORIZON-PFT) and the HORIZON Recurrent Fracture Trial (HORIZON-RFT)) might not be generalisable to older, more frail nursing home residents. The efficacy of once-yearly zoledronic acid that was evaluated by the HORIZON-PFT and the HOROZON-RFT might not be generalisable to single-dose zoledronic acid.<xref ref-type="bibr" rid="R19 R20">19 20</xref> The post-hoc analyses for older adults or for single-dose zoledronic acid based on the HORIZON-PFT and the HORIZON-RFT were considered rather exploratory.<xref ref-type="bibr" rid="R21 R22">21 22</xref> Therefore, we simulated changes in BMD over time and predicted the incidence of hip fractures as a function of age and BMD. We simulated changes in BMD over time and predicted the incidence of hip fractures as a function of age and BMD. The fracture-reduction benefit of zoledronic acid was calculated using a surrogate outcome of total hip BMD that was taken from the ZEST study.<xref ref-type="bibr" rid="R13">13</xref> It was converted into the relative risk of hip fracture based on a cohort study of nursing home residents.<xref ref-type="bibr" rid="R6 R23">6 23</xref> As a result, the estimated relative risk of hip fracture with zoledronic acid was 0.85. Because BMD is a surrogate marker for fracture risk reduction, the model varied the assumption widely in sensitivity analyses to explore its impact on the study conclusion. It was assumed that zoledronic acid did not offer protection from hip fracture in the first 18 months based on a post-hoc analysis of clinical trials of zoledronic acid in postmenopausal women.<xref ref-type="bibr" rid="R24">24</xref> It was also assumed that the fracture-reduction benefit of zoledronic acid persisted over 3 years after administration based on post-hoc analyses of clinical trials of zoledronic acid in men and women with hip fracture.<xref ref-type="bibr" rid="R22">22</xref>
</p></sec><sec id="s2d3"><title>Survival outcomes</title><p>The mortality rate in the first 6 months after hip fracture was taken from a cohort study of Medicare claims linked with the MDS.<xref ref-type="bibr" rid="R3">3</xref> Mortality in those who were with a similar health status and function but did not sustain hip fracture was not available. Because of a paucity of large-scale data in the USA, their mortality rate was estimated using relative excess mortality after hip fracture based on a claim-based cohort study in Germany.<xref ref-type="bibr" rid="R25">25</xref> The model varied the assumption widely in sensitivity analyses to explore its impact on the study conclusion. It was assumed that excess mortality was limited to the first 6 months after hip fracture.</p></sec><sec id="s2d4"><title>Quality of life</title><p>Because of limited data addressing quality-of-life effects of hip fracture on nursing home residents in the USA, they were estimated based on a prospective longitudinal study in Canada.<xref ref-type="bibr" rid="R4">4</xref> Utilities for the prefracture and postfracture states and temporary utility loss from hip fracture were based on EuroQol Five Dimensional Questionnaire (EQ-5D) scores. The model varied the assumption widely in sensitivity analyses to explore its impact on the study conclusion.</p></sec><sec id="s2d5"><title>Cost</title><p>The drug price of generic zoledronic acid was taken from an online source of drug information.<xref ref-type="bibr" rid="R26">26</xref> The administration cost of zoledronic acid was obtained from a microcosting analysis in patients with metastatic bone disease.<xref ref-type="bibr" rid="R27">27</xref> The cost of basic metabolic panel (current procedural terminology (CPT) code 80048) was based on the Medicare reimbursement, and the cost of comprehensive oral examination (current dental terminology (CDT) code D 0150) was based on the national average of commercial rates.<xref ref-type="bibr" rid="R28 R29">28 29</xref> The hospitalisation and rehabilitation costs of hip fracture were taken from a cost analysis of a large managed care organisation.<xref ref-type="bibr" rid="R30">30</xref> The model assumed that excess resource utilisation was limited to the first 6 months after hip fracture.<xref ref-type="bibr" rid="R5">5</xref> All costs were inflated to 2017 dollars using the Consumer Price Index for Medical Care for All Urban Consumers.<xref ref-type="bibr" rid="R31">31</xref>
</p></sec><sec id="s2d6"><title>Base-case analysis</title><p>The incremental cost-effectiveness ratio (ICER) of a strategy was calculated as the additional cost of that strategy (Δ cost) divided by its additional health benefit (Δ quality-adjusted life years; QALYs) compared with the competing strategy. The model sought to identify the strategy that would provide the greatest improvement in health outcomes at a willingness-to-pay (WTP) threshold of $100 000 per QALY gained.</p></sec><sec id="s2d7"><title>Sensitivity analyses</title><p>To assess the robustness of our findings, deterministic one-way sensitivity analyses were performed. Ranges from 95% CIs were tested when available; otherwise, ranges from 50% to 200% of the base-case estimates were tested. Two-way sensitivity analyses were performed by simultaneously altering relative risk of hip fracture with zoledronic acid and 6-month mortality in nursing home residents. A probabilistic sensitivity analysis was also conducted, in which the model was run using a value for each parameter down randomly from the distribution assigned to that parameter. The model used beta distributions for probabilities, log-normal distributions for relative risks, and gamma distributions for utilities and costs. The model ran 100 000 iterations to generate a cost-effectiveness acceptability curve showing the probability that either strategy was cost-effective varying WTP thresholds.</p></sec></sec><sec id="s2e"><title>Patient and public involvement</title><p>The study design was a secondary data analysis and did not directly involve patients or public.</p></sec></sec><sec id="s3" sec-type="results"><title>Results</title><sec id="s3a"><title>Base-case analysis</title><p>The mean survival in both the usual care group and the zoledronic acid group was approximately 2.3 years. The lifetime risk of hip fracture was 5.4% in the usual care group and 5.1% in the zoledronic acid group. Compared with usual care, zoledronic acid improved quality-adjusted survival by 0.0015 QALYs, increased cost by $320 and had an ICER of $207 400 per QALY gained (<xref ref-type="table" rid="T2">table 2</xref>).</p><table-wrap id="T2" position="float" orientation="portrait"><object-id pub-id-type="publisher-id">T2</object-id><label>Table 2</label><caption><p>Base-case analysis</p></caption><table frame="hsides" rules="groups"><thead><tr><td valign="bottom" align="left" rowspan="1" colspan="1">Strategy</td><td valign="bottom" align="left" rowspan="1" colspan="1">Cost ($)</td><td valign="bottom" align="left" rowspan="1" colspan="1">QALYs</td><td valign="bottom" align="left" rowspan="1" colspan="1">Δ Cost ($)</td><td valign="bottom" align="left" rowspan="1" colspan="1">Δ QALYs</td><td valign="bottom" align="left" rowspan="1" colspan="1">ICER ($/QALY)</td></tr></thead><tbody><tr><td valign="top" align="left" rowspan="1" colspan="1">UC</td><td valign="top" align="char" char="." rowspan="1" colspan="1">2418</td><td valign="top" align="char" char="." rowspan="1" colspan="1">1.3087</td><td valign="top" align="left" rowspan="1" colspan="1">Reference</td><td valign="top" align="left" rowspan="1" colspan="1">Reference</td><td valign="top" align="left" rowspan="1" colspan="1">Reference</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1">ZOL*</td><td valign="top" align="char" char="." rowspan="1" colspan="1">2738</td><td valign="top" align="char" char="." rowspan="1" colspan="1">1.3102</td><td valign="top" align="left" rowspan="1" colspan="1">320</td><td valign="top" align="left" rowspan="1" colspan="1">0.0015</td><td valign="top" align="left" rowspan="1" colspan="1">207 400</td></tr></tbody></table><table-wrap-foot><fn id="tblfn1"><p>*Single intravenous dose.</p></fn><fn id="tblfn2"><p>ICER, incremental cost-effectiveness ratio; QALY, quality-adjusted life year; UC, usual care; ZOL, zoledronic acid.</p></fn></table-wrap-foot></table-wrap><p>Therefore, usual care was preferred at a conventional WTP threshold of $100 000 per QALY gained.</p></sec><sec id="s3b"><title>Sensitivity analyses</title><p>Our findings were robust to a reasonable range of assumptions about the incidence, excess mortality, quality-of-life effects, cost of hip fracture and the cost of zoledronic acid. Our findings were sensitive to the assumptions about the fracture-reduction benefit of zoledronic acid. Zoledronic acid became increasingly more cost-effective as relative risk of hip fracture with zoledronic acid decreased. Zoledronic acid would become preferred if relative risk of fracture with zoledronic acid was lower than 0.77 (ie, a fracture risk reduction of 23%). Our findings were also sensitive to the assumption about 6-month mortality in nursing home residents. Zoledronic acid became increasingly more cost-effective as 6-month mortality decreased. Zoledronic acid would become preferred if 6-month mortality in nursing home residents was lower than 16%. <xref ref-type="fig" rid="F2">Figure 2</xref> summarises two-way sensitivity analyses of relative risk of hip fracture with zoledronic acid and 6-month mortality in nursing home residents. For example, under the best-case assumption that 6-month mortality was a half of the base-case estimate (ie, 11%), zoledronic acid would be preferred if relative risk of hip fracture with zoledronic acid was lower than 0.90 (ie, a fracture risk reduction of 10%). Under the worst-case assumption that 6-month mortality was twice as high as the base-case estimate (ie, 44%), zoledronic acid would be preferred if relative risk of hip fracture with zoledronic acid was lower than 0.06 (ie, a fracture risk reduction of 94%). If 6-month mortality exceeded 45%, zoledronic acid would not be preferred regardless of the fracture-reduction benefit of zoledronic acid. The result of the probability sensitivity analysis is displayed in the cost-effectiveness acceptability curve (<xref ref-type="fig" rid="F3">figure 3</xref>). The curve indicates that zoledronic acid would be cost-effective in 14%, 27% and 44% of simulations at WTP thresholds of $50 000, $100 000 or $200 000 per QALY gained, respectively.</p><fig id="F2" position="float" orientation="portrait"><object-id pub-id-type="publisher-id">F2</object-id><label>Figure 2</label><caption><p>Two-way sensitivity analysis of the relative risk of hip fracture with zoledronic acid and 6-month mortality in nursing home residents. The area represents a preferred strategy, either usual care (UC) or single intravenous dose of zoledronic acid (ZOL), at a willingness-to-pay threshold of $100 000 per quality-adjusted life year gained.</p></caption><graphic xlink:href="bmjopen-2018-022585f2" position="float" orientation="portrait" xlink:type="simple"/></fig><fig id="F3" position="float" orientation="portrait"><object-id pub-id-type="publisher-id">F3</object-id><label>Figure 3</label><caption><p>Cost-effectiveness acceptability curve. A graph plotted a range of willingness-to-pay thresholds on the horizontal axis against the probability that either usual care (UC) or single intravenous dose of zoledronic acid (ZOL) would be cost-effective at that willingness-to-pay threshold on the vertical axis. QALY, quality-adjusted life year.</p></caption><graphic xlink:href="bmjopen-2018-022585f3" position="float" orientation="portrait" xlink:type="simple"/></fig></sec></sec><sec id="s4" sec-type="discussion"><title>Discussion</title><p>The present study found that routine administration of single-dose zoledronic acid in nursing home residents with osteoporosis is not a good investment from a healthcare sector perspective in the USA. The study conclusion was not altered by a wide range of plausible estimates of fracture-related parameters (ie, incidence, excess mortality, quality-of-life effects and cost of hip fracture) and medication-related parameters (ie, drug price, administration cost, laboratory test and dental examination). A critical question, the answer to which could dramatically influence decision-making regarding the use of zoledronic acid, is whether an increase in BMD translates into a decreased risk of hip fracture. The base-case estimate of a 15% fracture risk reduction with zoledronic acid is more conservative than the estimate used in a conventional cost-effectiveness analysis of osteoporosis treatment.<xref ref-type="bibr" rid="R32">32</xref> The sensitivity analysis showed that zoledronic acid had a potential to become reasonably cost-effective if the risk of hip fracture was reduced by 23% or more, which is comparable with a fracture risk reduction observed in the post-hoc analysis of the clinical trial in younger, less frail, community-dwelling women.<xref ref-type="bibr" rid="R22">22</xref> These assumptions need to be confirmed in a larger scale clinical trial with a longer follow-up period in older, more frail nursing home residents.<xref ref-type="bibr" rid="R33">33</xref> Clinical decision-making for nursing home residents is also strongly influenced by their prognosis and competing risk of death. The sensitivity analysis showed that zoledronic acid had a potential to become reasonably cost-effective if residents had 6-month mortality of 16% or below which was lower than overall mortality (ie, 23%) observed in a large cohort of nursing home residents in the USA.<xref ref-type="bibr" rid="R34">34</xref> These results are encouraging and suggest that a single infusion of zoledronic acid can be a viable option when treatment is targeted to those with a more favourable prognosis. On the contrary, for those with a less favourable prognosis (ie, 6-month mortality of 45% or above), zoledronic acid is not a viable option regardless of its fracture-reduction benefit.</p><p>There are a limited number of clinical trials that evaluated fracture prevention in nursing home residents. Previous analyses demonstrated the use of hip protectors could be reasonably cost-effective in nursing home residents.<xref ref-type="bibr" rid="R35 R36">35 36</xref> However, their fracture-reduction benefit was not robust based on a more recent systematic review.<xref ref-type="bibr" rid="R37">37</xref> Moreover, poor adherence to hip protectors might limit widespread implementation in the real world.<xref ref-type="bibr" rid="R38">38</xref> The efficacy of oral bisphosphonates (eg, alendronate) was previously evaluated in younger, more independent residents from assisted living communities, and the incremental change in BMD was comparable with that observed in the clinical trial of zoledronic acid in older, more dependent residents.<xref ref-type="bibr" rid="R13 R39">13 39</xref> However, administration of oral bisphosphonates in nursing homes may impose an additional effort to ensure proper dosing technique for avoiding gastrointestinal adverse events. One-time administration of zoledronic acid in the more controlled nursing home setting may potentially resolve the issue of poor adherence and also reduce the burden on not only nursing staffs but also residents with cognitive deficits and poor functional status.</p><p>The following limitations are worth noting. By excluding the effect of non-hip fractures, the model might have underestimated the total health benefit of zoledronic acid. The model did not incorporate adverse events of zoledronic acid (eg, osteonecrosis of the jaw), which could have a negative impact on quality of life, but no good empirical estimates of these events were available. The study targeted nursing home residents who had already been diagnosed with osteoporosis and did not consider screening for osteoporosis, which could be logistically challenging in the nursing home setting.</p><p>Based on currently available evidence, routine administration of single-dose zoledronic acid for nursing home residents with osteoporosis is not a cost-effective use of resources in the USA, but could be justifiable in those with a favourable life expectancy. The study findings should be confirmed by a clinical trial measuring fracture as a primary outcome in this population.</p></sec></body><back><ack><p>None</p></ack><fn-group><fn fn-type="other"><label>Contributors</label><p>KI is the sole author and contributed to conception and design, collection and assembly of data, data analysis and interpretation, and manuscript writing.</p></fn><fn fn-type="other"><label>Funding</label><p>The authors have not declared a specific grant for this research from any funding agency in the public, commercial or not-for-profit sectors.</p></fn><fn fn-type="conflict"><label>Competing interests</label><p>None declared.</p></fn><fn fn-type="other"><label>Patient consent</label><p>Not required.</p></fn><fn fn-type="other"><label>Provenance and peer review</label><p>Not commissioned; externally peer reviewed.</p></fn><fn fn-type="other"><label>Data sharing statement</label><p>Study protocol is available from KI (email, <ext-link xlink:href="KoutaIto@hsl.harvard.edu" ext-link-type="uri" xlink:type="simple">KoutaIto@hsl.harvard.edu</ext-link>). Statistical code and data sets are not available.</p></fn><fn fn-type="other"><label>Presented at</label><p>This study was presented at the International Society for Pharmacoeconomics and Outcomes Research 22nd Annual International Meeting, Boston, Massachusetts, 20–24 May 2017.</p></fn></fn-group><ref-list><title>References</title><ref id="R1"><label>1.</label><mixed-citation publication-type="journal" xlink:type="simple">
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