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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Endocrinol.</journal-id>
<journal-title>Frontiers in Endocrinology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Endocrinol.</abbrev-journal-title>
<issn pub-type="epub">1664-2392</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fendo.2022.971960</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Endocrinology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Associations of insulin resistance and insulin secretion with bone mineral density and osteoporosis in a general population</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Fu</surname>
<given-names>Yi-Hsiu</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1993836"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Liu</surname>
<given-names>Wei-Ju</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1634122"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Lee</surname>
<given-names>Chia-Lin</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1582510"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Wang</surname>
<given-names>Jun-Sing</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1554776"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Department of Education, Taichung Veterans General Hospital</institution>, <addr-line>Taichung</addr-line>, <country>Taiwan</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Medical Research, Taichung Veterans General Hospital</institution>, <addr-line>Taichung</addr-line>, <country>Taiwan</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Division of Endocrinology and Metabolism, Department of Internal Medicine, Taichung Veterans General Hospital</institution>, <addr-line>Taichung</addr-line>, <country>Taiwan</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>School of Medicine, National Yang Ming Chiao Tung University</institution>, <addr-line>Taipei</addr-line>, <country>Taiwan</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Department of Post-Baccalaureate Medicine, College of Medicine, National Chung Hsing University</institution>, <addr-line>Taichung</addr-line>, <country>Taiwan</country>
</aff>
<aff id="aff6">
<sup>6</sup>
<institution>Rong Hsing Research Center for Translational Medicine, Institute of Biomedical Science, National Chung Hsing University</institution>, <addr-line>Taichung</addr-line>, <country>Taiwan</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Kok Yong Chin, National University of Malaysia, Malaysia</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Ignatio Rika, Atma Jaya Catholic University of Indonesia, Indonesia; Elizabeth Rendina-Ruedy, Vanderbilt University Medical Center, United States</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Jun-Sing Wang, <email xlink:href="mailto:jswang@vghtc.gov.tw">jswang@vghtc.gov.tw</email>; Chia-Lin Lee, <email xlink:href="mailto:u502107@yahoo.com.tw">u502107@yahoo.com.tw</email>
</p>
</fn>
<fn fn-type="equal" id="fn003">
<p>&#x2020;These authors have contributed equally to this work and share senior authorship</p>
</fn>
<fn fn-type="other" id="fn002">
<p>This article was submitted to Bone Research, a section of the journal Frontiers in Endocrinology</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>20</day>
<month>09</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>13</volume>
<elocation-id>971960</elocation-id>
<history>
<date date-type="received">
<day>17</day>
<month>06</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>06</day>
<month>09</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Fu, Liu, Lee and Wang</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Fu, Liu, Lee and Wang</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>We investigated the associations of insulin resistance and &#x3b2;-cell secretion with bone mineral density (BMD) and osteoporosis using data from the National Health and Nutrition Examination Survey. Data on BMD assessed using dual-energy x-ray absorptiometry from 5292 participants were analyzed. Insulin resistance and &#x3b2;-cell secretion were assessed using the Homeostatic Model Assessment for Insulin Resistance (HOMA-IR) and &#x3b2;-cell function (HOMA-&#x3b2;), respectively. We divided the study population into four groups according to HOMA-IR (&lt;2 vs. &#x2265; 2) and HOMA-&#x3b2; (&lt;100 vs. &#x2265; 100). BMD and T score at the lumbar spine, hip joint, and femur were used for analyses. Osteoporosis was defined as a T score &#x2264; -2.5. Logistic regression analyses were conducted to examine the associations of HOMA-IR and HOMA-&#x3b2; with osteoporosis, and the joint effects of HOMA-IR and HOMA-&#x3b2; on osteoporosis. We found a positive association between HOMA-IR and osteoporosis in participants with a HOMA-&#x3b2; &#x2265; 100 (OR 8.773, 95% CI 2.160-35.637, p=0.002 at the femoral neck). A negative association between HOMA-&#x3b2; and osteoporosis was noted in those with a HOMA-IR &lt;2 (OR 0.183, 95% CI 0.038-0.882, p=0.034 at the femoral neck). Compared with participants who had HOMA-IR &lt;2 and HOMA-&#x3b2; &lt;100, those with HOMA-IR &lt;2 and HOMA-&#x3b2; &#x2265; 100 had a lower risk of osteoporosis (OR 0.126, 95% CI 0.020-0.805, p=0.032 at the femoral neck). In conclusion, the association between HOMA-&#x3b2; and BMD/osteoporosis changed as HOMA-IR increased. HOMA-&#x3b2; was negatively associated with osteoporosis when HOMA-IR &lt;2. The association was not significant when HOMA-IR &#x2265; 2.</p>
</abstract>
<kwd-group>
<kwd>bone mineral density</kwd>
<kwd>insulin</kwd>
<kwd>insulinemia</kwd>
<kwd>insulin resistance</kwd>
<kwd>osteoporosis</kwd>
</kwd-group>
<contract-num rid="cn001">TCVGH-1093504C, TCVGH-1097316C, TCVGH-1097327D, TCVGH-1103502C, TCVGH-1113502C</contract-num>
<contract-sponsor id="cn001">Taichung Veterans General Hospital<named-content content-type="fundref-id">10.13039/501100010101</named-content>
</contract-sponsor>
<counts>
<fig-count count="1"/>
<table-count count="5"/>
<equation-count count="0"/>
<ref-count count="45"/>
<page-count count="8"/>
<word-count count="4235"/>
</counts>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<title>Introduction</title>
<p>Osteoporosis is characterized by low bone mass and abnormal microstructure, leading to bone fragility and susceptibility to fracture (<xref ref-type="bibr" rid="B1">1</xref>). The diagnosis of osteoporosis is based on an assessment of bone mineral density (BMD), which can be conducted using a modality such as dual-energy x-ray absorptiometry (DXA) (<xref ref-type="bibr" rid="B2">2</xref>, <xref ref-type="bibr" rid="B3">3</xref>). Osteoporosis is defined as a BMD T score of &#x2264; -2.5 (<xref ref-type="bibr" rid="B2">2</xref>, <xref ref-type="bibr" rid="B3">3</xref>). The likelihood of osteoporosis tends to increase as a function of age, and therefore the incidence of osteoporotic fractures has increased markedly worldwide (<xref ref-type="bibr" rid="B4">4</xref>, <xref ref-type="bibr" rid="B5">5</xref>). It has been predicted that the number of people at high risk of osteoporotic fracture in 2040 will be doubled the number of people at high risk in 2010 (<xref ref-type="bibr" rid="B5">5</xref>). This may lead to a substantial health care burden and even an excess risk of mortality (<xref ref-type="bibr" rid="B5">5</xref>&#x2013;<xref ref-type="bibr" rid="B7">7</xref>).</p>
<p>Although BMD has been used to diagnose osteoporosis, its clinical use might be limited as most fragility fractures occur in people with a BMD T score &gt; -2.5 (<xref ref-type="bibr" rid="B8">8</xref>, <xref ref-type="bibr" rid="B9">9</xref>). For example, patients with type 2 diabetes are at an increased risk of fracture (<xref ref-type="bibr" rid="B10">10</xref>, <xref ref-type="bibr" rid="B11">11</xref>); however, they have a higher BMD than those without the disease (<xref ref-type="bibr" rid="B12">12</xref>, <xref ref-type="bibr" rid="B13">13</xref>). This may be partly explained by the association of bone fragility with the pathogenesis of diabetes (<xref ref-type="bibr" rid="B14">14</xref>). Moreover, insulinemia and insulin resistance (IR) might have conflicting effects on bone mass. Insulinemia has been associated with a higher BMD (<xref ref-type="bibr" rid="B15">15</xref>, <xref ref-type="bibr" rid="B16">16</xref>), while IR has been inversely associated with bone mass (<xref ref-type="bibr" rid="B17">17</xref>, <xref ref-type="bibr" rid="B18">18</xref>). Findings in previous studies are not consistent (<xref ref-type="bibr" rid="B15">15</xref>&#x2013;<xref ref-type="bibr" rid="B20">20</xref>).</p>
<p>The complex effects of insulinemia and IR on bone mass are not yet clear. In this study, we aimed to investigate the associations of IR and pancreatic &#x3b2;-cell secretion with BMD and osteoporosis using cross-sectional data from the National Health and Nutrition Examination Survey (NHANES).</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<title>Materials and methods</title>
<p>This study was conducted using publicly available data from the NHANES (<uri xlink:href="https://www.cdc.gov/nchs/nhanes/index.htm">https://www.cdc.gov/nchs/nhanes/index.htm</uri>), which is a multistage, cross-sectional, nationwide evaluation of health parameters in the U.S. conducted by the National Center for Health Statistics. Data on BMD assessed using DXA were available, and thus we investigated the associations of IR and pancreatic &#x3b2;-cell secretion with BMD and osteoporosis in this population. Our study protocol was approved by the Institutional Review Board of Taichung Veterans General Hospital, Taichung, Taiwan (approval number: CE18312A). We conducted this study in accordance with the Declaration of Helsinki, and all the NHANES participants provided informed consent.</p>
<p>
<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref> shows selection of the study population. Among the 31034 participants in the NHANES from 2005 to 2010, we excluded those aged &lt;18 years or had missing data on fasting insulin or BMD. Finally, we had 5292 participants for analyses. We assessed IR and &#x3b2;-cell secretion of the study population using the Homeostatic Model Assessment (<xref ref-type="bibr" rid="B21">21</xref>) for Insulin Resistance (HOMA-IR) and &#x3b2;-cell function (HOMA-&#x3b2;), respectively. HOMA-IR = fasting insulin [&#x3bc;U/l] * fasting glucose [mmol/l]/22.5. HOMA-&#x3b2; = 20 * fasting insulin [&#x3bc;U/l]/(fasting glucose [mmol/l] - 3.5). We divided the study population into four groups according to HOMA-IR (&lt;2 vs. &#x2265; 2) and HOMA-&#x3b2; (&lt;100 vs. &#x2265; 100). The cut-off values were decided according to previous studies. Insulin resistance (assessed using HOMA-IR) was associated with low bone mass in men (<xref ref-type="bibr" rid="B22">22</xref>) and women (<xref ref-type="bibr" rid="B19">19</xref>). The mean HOMA-IR in the high insulin resistance group was 2.0-2.2 (<xref ref-type="bibr" rid="B19">19</xref>, <xref ref-type="bibr" rid="B20">20</xref>). In a multi-ethnic study (<xref ref-type="bibr" rid="B23">23</xref>) investigating insulin resistance and pancreatic &#x3b2;-cell function, the median HOMA-IR was 1.8-2.2 while the median HOMA-&#x3b2; was 100-120. Hence, we used the cut-off values of HOMA-IR and HOMA-&#x3b2; as 2 and 100, respectively. We used the Chronic Kidney Disease Epidemiology Collaboration equation (<xref ref-type="bibr" rid="B24">24</xref>) to determine renal function (estimated glomerular filtration rate, eGFR). An eGFR &lt; 60 ml/min/1.73 m<sup>2</sup> was considered to be chronic kidney disease. BMD and T score at the lumbar spine, hip joint, and various parts of the femur (femoral neck, greater trochanter, and femoral intertrochanter) were used for analyses. Osteoporosis was defined as a T score &#x2264; -2.5 (<xref ref-type="bibr" rid="B2">2</xref>, <xref ref-type="bibr" rid="B3">3</xref>).</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Selection of study participants for analyses.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-13-971960-g001.tif"/>
</fig>
<p>All analyses were conducted using the Statistical Analysis System survey procedures (SAS version 9.4, 2013, Cary, NC, USA). Analysis of Variance (ANOVA) and Chi-square test were used to examine the differences in baseline characteristics, BMD, and T score across the four groups (HOMA-IR &lt;2 and&#xa0;HOMA-&#x3b2; &lt;100, HOMA-IR &lt;2 and HOMA-&#x3b2; &#x2265; 100, HOMA-IR &#x2265; 2 and HOMA-&#x3b2; &lt;100, HOMA-IR &#x2265; 2 and HOMA-&#x3b2; &#x2265; 100). We used the SAS SURVEYREG procedure to perform the sample-weighted analysis of variance test according to the user&#x2019;s guide of the analysis program. To examine the associations of HOMA-IR and HOMA-&#x3b2; with osteoporosis, logistic regression analyses were conducted using osteoporosis (T-score &#x2264; -2.5) as the dependent variable with adjustment for confounding factors (age, sex, race, body mass index, and chronic kidney disease). To examine the joint effects of HOMA-IR and HOMA-&#x3b2; on osteoporosis, logistic regression analyses were conducted using participants with HOMA-IR &lt;2 and HOMA-&#x3b2; &lt;100 as the reference group. Logistic regression was adequately weighted using the SURVEYLOGISTIC procedure. Due to the complex survey design of NHANES, we calculated the weighted data according to analytic guidelines [National Health and Nutrition Examination Survey: Analytic Guidelines, 2011&#x2013;2014 and 2015&#x2013;2016 (<uri xlink:href="https://wwwn.cdc.gov/nchs/nhanes/analyticguidelines.aspx)">https://wwwn.cdc.gov/nchs/nhanes/analyticguidelines.aspx)</uri>]. A two-sided p value less than 0.05 was considered to be statistically significant in all of the statistical analyses.</p>
</sec>
<sec id="s3" sec-type="results">
<title>Results</title>
<p>
<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref> shows the characteristics of the study population according to HOMA-IR and HOMA-&#x3b2;. Participants who had a HOMA-IR &#x2265; 2 were older and more likely to be male, had a higher body mass index, a higher systolic and diastolic blood pressure, and a higher proportion of having diabetes, compared with those who had a HOMA-IR &lt;2. The former group also had worse metabolic profiles (lower high-density lipoprotein cholesterol, higher triglycerides, fasting plasma glucose, and HbA1c) than the latter.</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Characteristics of the study participants according to HOMA-IR and HOMA-&#x3b2;.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Variables</th>
<th valign="top" align="center">HOMA-IR &lt;2, HOMA-&#x3b2; &lt;100</th>
<th valign="top" align="center">HOMA-IR &lt;2, HOMA-&#x3b2; &#x2265;100</th>
<th valign="top" align="center">HOMA-IR &#x2265;2, HOMA-&#x3b2; &lt;100</th>
<th valign="top" align="center">HOMA-IR &#x2265;2, HOMA-&#x3b2; &#x2265;100</th>
<th valign="top" align="center">P-value</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">N</td>
<td valign="top" align="center">1856</td>
<td valign="top" align="center">288</td>
<td valign="top" align="center">961</td>
<td valign="top" align="center">2187</td>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left">Age, year</td>
<td valign="top" align="center">43.7 (42.6-44.7)</td>
<td valign="top" align="center">34.9 (33.4-36.4)</td>
<td valign="top" align="center">50.2 (48.7-51.6)</td>
<td valign="top" align="center">42.2 (41.1-43.3)</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Male, n (%)</td>
<td valign="top" align="center">993 (53.5)</td>
<td valign="top" align="center">86 (29.9)</td>
<td valign="top" align="center">569 (59.2)</td>
<td valign="top" align="center">1103 (50.4)</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Race/ethnicity, n (%)</td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Non-Hispanic white</td>
<td valign="top" align="center">1000 (53.9)</td>
<td valign="top" align="center">108 (37.5)</td>
<td valign="top" align="center">420 (43.7)</td>
<td valign="top" align="center">859 (39.3)</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Non-Hispanic black</td>
<td valign="top" align="center">351 (18.9)</td>
<td valign="top" align="center">74 (25.7)</td>
<td valign="top" align="center">165 (17.2)</td>
<td valign="top" align="center">457 (20.9)</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Mexican American/others</td>
<td valign="top" align="center">505 (27.2)</td>
<td valign="top" align="center">106 (36.8)</td>
<td valign="top" align="center">376 (39.1)</td>
<td valign="top" align="center">871 (39.8)</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Body mass index, kg/m2</td>
<td valign="top" align="center">24.5 (24.3-24.7)</td>
<td valign="top" align="center">25.9 (25.2-26.6)</td>
<td valign="top" align="center">28.7 (28.3-29.1)</td>
<td valign="top" align="center">30.6 (30.2-31.0)</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Systolic blood pressure, mm Hg</td>
<td valign="top" align="center">117.8 (117.0-118.7)</td>
<td valign="top" align="center">113.0 (111.0-115.0)</td>
<td valign="top" align="center">125.6 (124.3-126.9)</td>
<td valign="top" align="center">121.2 (120.1-122.3)</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Diastolic blood pressure, mm Hg</td>
<td valign="top" align="center">68.5 (67.7-69.4)</td>
<td valign="top" align="center">65.9 (64.2-67.7)</td>
<td valign="top" align="center">71.0 (69.8-72.2)</td>
<td valign="top" align="center">71.0 (70.2-71.9)</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Smoking, n (%)</td>
<td valign="top" align="center">846 (45.6)</td>
<td valign="top" align="center">76 (26.4)</td>
<td valign="top" align="center">455 (47.3)</td>
<td valign="top" align="center">861 (39.4)</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Chronic kidney disease, n (%)<sup>a</sup>
</td>
<td valign="top" align="center">37 (2.0)</td>
<td valign="top" align="center">2 (0.7)</td>
<td valign="top" align="center">55 (5.7)</td>
<td valign="top" align="center">51 (2.3)</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Hypertension, n (%)</td>
<td valign="top" align="center">377 (20.3)</td>
<td valign="top" align="center">37 (12.8)</td>
<td valign="top" align="center">426 (44.3)</td>
<td valign="top" align="center">630 (28.8)</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Diabetes, n (%)</td>
<td valign="top" align="center">99 (5.3)</td>
<td valign="top" align="center">4 (1.4)</td>
<td valign="top" align="center">354 (36.8)</td>
<td valign="top" align="center">170 (7.8)</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Total cholesterol, mg/dl</td>
<td valign="top" align="center">195.4 (192.9-197.8)</td>
<td valign="top" align="center">190.7 (185.6-195.9)</td>
<td valign="top" align="center">199.2 (195.7-202.7)</td>
<td valign="top" align="center">195.6 (193.2-197.9)</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">HDL cholesterol, mg/dl</td>
<td valign="top" align="center">61.6 (60.8-62.4)</td>
<td valign="top" align="center">57.2 (55.1-59.3)</td>
<td valign="top" align="center">51.0 (49.5-52.5)</td>
<td valign="top" align="center">48.0 (47.4-48.6)</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Triglycerides, mg/dl</td>
<td valign="top" align="center">94.1 (89.9-98.4)</td>
<td valign="top" align="center">96.0 (88.7-103.4)</td>
<td valign="top" align="center">152.3 (139.1-165.5)</td>
<td valign="top" align="center">151.4 (144.6-158.1)</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Fasting plasma glucose, mg/dl</td>
<td valign="top" align="center">90.9 (89.5-92.2)</td>
<td valign="top" align="center">79.3 (78.2-80.4)</td>
<td valign="top" align="center">122.1 (118.4-125.9)</td>
<td valign="top" align="center">95.5 (94.8-96.2)</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">HbA1c, %</td>
<td valign="top" align="center">5.3 (5.3-5.4)</td>
<td valign="top" align="center">5.2 (5.1-5.2)</td>
<td valign="top" align="center">6.1 (6.0-6.2)</td>
<td valign="top" align="center">5.4 (5.4-5.5)</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">eGFR, mL/min/1.73 m<sup>2</sup>
</td>
<td valign="top" align="center">97.7 (96.4-98.9)</td>
<td valign="top" align="center">105.0 (102.4-107.6)</td>
<td valign="top" align="center">93.4 (91.6-95.3)</td>
<td valign="top" align="center">100.0 (98.5-101.5)</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">HOMA-IR</td>
<td valign="top" align="center">1.2 (1.2-1.2)</td>
<td valign="top" align="center">1.6 (1.5-1.6)</td>
<td valign="top" align="center">3.8 (3.5-4.0)</td>
<td valign="top" align="center">5.0 (4.8-5.2)</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">HOMA-&#x3b2;</td>
<td valign="top" align="center">57.6 (56.4-58.9)</td>
<td valign="top" align="center">156.6 (128.4-184.7)</td>
<td valign="top" align="center">72.5 (70.8-74.1)</td>
<td valign="top" align="center">189.9 (182.6-197.1)</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Data are presented as mean (95% CI) or n (%). eGFR, estimated glomerular filtration rate. HbA1c, glycated hemoglobin. HDL, high-density lipoprotein. HOMA-IR, homeostasis model assessment-insulin resistance. <sup>a</sup>eGFR&lt; 60 mL/min/1.73 m<sup>2</sup>.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>
<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref> shows the BMD and T score at various sites (L-spine, hip, and femur) according to HOMA-IR and HOMA-&#x3b2;. Participants with a HOMA-IR &#x2265; 2 and a HOMA-&#x3b2; &#x2265; 100 had the highest BMD at L-spine, hip, and femur (all p&lt;0.001) among the four groups. However, they had the lowest BMD at all sites after adjustment for age, sex, race, body mass index, and chronic kidney disease. In contrast, participants with a HOMA-IR &lt;2 and a HOMA-&#x3b2; &#x2265; 100 had the highest BMD at L-spine, hip, and trochanter and intertrochanter of the femur after adjustment for the confounders. Similar findings were noted regarding the T score (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>).</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>BMD and T score of the study participants according to HOMA-IR and HOMA-&#x3b2;.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left"/>
<th valign="top" align="center">HOMA-IR &lt;2, HOMA-&#x3b2; &lt;100</th>
<th valign="top" align="center">HOMA-IR &lt;2, HOMA-&#x3b2; &#x2265;100</th>
<th valign="top" align="center">HOMA-IR &#x2265;2, HOMA-&#x3b2; &lt;100</th>
<th valign="top" align="center">HOMA-IR &#x2265;2, HOMA-&#x3b2; &#x2265;100</th>
<th valign="top" align="center">P-value</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" colspan="6" align="left">BMD</td>
</tr>
<tr>
<td valign="top" align="left">Lumbar spine</td>
<td valign="top" align="center">1.020 (1.012, 1.027)</td>
<td valign="top" align="center">1.050 (1.032, 1.068)</td>
<td valign="top" align="center">1.045 (1.032, 1.057)</td>
<td valign="top" align="center">1.051 (1.043, 1.059)</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Total hip</td>
<td valign="top" align="center">0.951 (0.943, 0.958)</td>
<td valign="top" align="center">0.986 (0.967, 1.006)</td>
<td valign="top" align="center">0.989 (0.975, 1.004)</td>
<td valign="top" align="center">1.019 (1.012, 1.027)</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Femoral neck</td>
<td valign="top" align="center">0.823 (0.815, 0.832)</td>
<td valign="top" align="center">0.869 (0.852, 0.887)</td>
<td valign="top" align="center">0.846 (0.833, 0.859)</td>
<td valign="top" align="center">0.884 (0.876, 0.892)</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Greater trochanter</td>
<td valign="top" align="center">0.720 (0.713, 0.727)</td>
<td valign="top" align="center">0.742 (0.726, 0.759)</td>
<td valign="top" align="center">0.750 (0.737, 0.762)</td>
<td valign="top" align="center">0.765 (0.757, 0.772)</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Femoral intertrochanter</td>
<td valign="top" align="center">1.119 (1.111, 1.127)</td>
<td valign="top" align="center">1.160 (1.138, 1.183)</td>
<td valign="top" align="center">1.167 (1.150, 1.183)</td>
<td valign="top" align="center">1.200 (1.192, 1.209)</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" colspan="6" align="left">Adjusted BMD<sup>a</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">Lumbar spine</td>
<td valign="top" align="center">1.041 (1.028, 1.054)<sup>c</sup>
</td>
<td valign="top" align="center">1.055 (1.036, 1.075)<sup>c</sup>
</td>
<td valign="top" align="center">1.047 (1.032, 1.062)<sup>c</sup>
</td>
<td valign="top" align="center">1.029 (1.014, 1.044)</td>
<td valign="top" align="center">0.005</td>
</tr>
<tr>
<td valign="top" align="left">Total hip</td>
<td valign="top" align="center">0.979 (0.969, 0.989)</td>
<td valign="top" align="center">0.994 (0.976, 1.012)<sup>c</sup>
</td>
<td valign="top" align="center">0.983 (0.970, 0.997)</td>
<td valign="top" align="center">0.974 (0.962, 0.985)</td>
<td valign="top" align="center">0.072</td>
</tr>
<tr>
<td valign="top" align="left">Femoral neck</td>
<td valign="top" align="center">0.854 (0.845, 0.862)</td>
<td valign="top" align="center">0.859 (0.844, 0.875)</td>
<td valign="top" align="center">0.860 (0.848, 0.872)</td>
<td valign="top" align="center">0.848 (0.838, 0.859)</td>
<td valign="top" align="center">0.211</td>
</tr>
<tr>
<td valign="top" align="left">Greater trochanter</td>
<td valign="top" align="center">0.735 (0.725, 0.744)<sup>c</sup>
</td>
<td valign="top" align="center">0.746 (0.730, 0.762)<sup>c</sup>
</td>
<td valign="top" align="center">0.738 (0.726, 0.751)</td>
<td valign="top" align="center">0.726 (0.715, 0.737)</td>
<td valign="top" align="center">0.008</td>
</tr>
<tr>
<td valign="top" align="left">Femoral intertrochanter</td>
<td valign="top" align="center">1.155 (1.142, 1.168)</td>
<td valign="top" align="center">1.175 (1.151, 1.198)<sup>bc</sup>
</td>
<td valign="top" align="center">1.160 (1.143, 1.177)</td>
<td valign="top" align="center">1.150 (1.137, 1.164)</td>
<td valign="top" align="center">0.090</td>
</tr>
<tr>
<td valign="top" colspan="6" align="left">T score</td>
</tr>
<tr>
<td valign="top" align="left">Lumbar spine</td>
<td valign="top" align="center">-1.503 (-1.565, -1.440)</td>
<td valign="top" align="center">-1.180 (-1.325, -1.034)</td>
<td valign="top" align="center">-1.327 (-1.432, -1.221)</td>
<td valign="top" align="center">-1.248 (-1.315, -1.182)</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Total hip</td>
<td valign="top" align="center">-0.306 (-0.353, -0.259)</td>
<td valign="top" align="center">0.129 (-0.000, 0.258)</td>
<td valign="top" align="center">-0.083 (-0.182, 0.016)</td>
<td valign="top" align="center">0.202 (0.144, 0.261)</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Femoral neck</td>
<td valign="top" align="center">-0.564 (-0.623, -0.505)</td>
<td valign="top" align="center">-0.090 (-0.214, 0.035)</td>
<td valign="top" align="center">-0.432 (-0.531, -0.334)</td>
<td valign="top" align="center">-0.098 (-0.162, -0.034)</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Greater trochanter</td>
<td valign="top" align="center">-0.246 (-0.302, -0.191)</td>
<td valign="top" align="center">0.103 (-0.030, 0.236)</td>
<td valign="top" align="center">-0.034 (-0.138, 0.070)</td>
<td valign="top" align="center">0.162 (0.093, 0.230)</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Femoral intertrochanter</td>
<td valign="top" align="center">-0.207 (-0.252, -0.163)</td>
<td valign="top" align="center">0.236 (0.106, 0.366)</td>
<td valign="top" align="center">0.026 (-0.073, 0.124)</td>
<td valign="top" align="center">0.304 (0.250, 0.358)</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" colspan="6" align="left">Adjusted T score<sup>a</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">Lumbar spine</td>
<td valign="top" align="center">-1.323 (-1.430, -1.216)<sup>c</sup>
</td>
<td valign="top" align="center">-1.205 (-1.369, -1.041)<sup>c</sup>
</td>
<td valign="top" align="center">-1.277 (-1.401, -1.153)<sup>c</sup>
</td>
<td valign="top" align="center">-1.423 (-1.548, -1.298)</td>
<td valign="top" align="center">0.005</td>
</tr>
<tr>
<td valign="top" align="left">Total hip</td>
<td valign="top" align="center">-0.101 (-0.176, -0.025)</td>
<td valign="top" align="center">0.020 (-0.115, 0.155)<sup>bc</sup>
</td>
<td valign="top" align="center">-0.060 (-0.162, 0.043)</td>
<td valign="top" align="center">-0.129 (-0.216, -0.042)</td>
<td valign="top" align="center">0.071</td>
</tr>
<tr>
<td valign="top" align="left">Femoral neck</td>
<td valign="top" align="center">-0.333 (-0.399, -0.267)</td>
<td valign="top" align="center">-0.280 (-0.399, -0.161)</td>
<td valign="top" align="center">-0.278 (-0.369, -0.186)</td>
<td valign="top" align="center">-0.368 (-0.452, -0.284)</td>
<td valign="top" align="center">0.191</td>
</tr>
<tr>
<td valign="top" align="left">Greater trochanter</td>
<td valign="top" align="center">-0.122 (-0.210, -0.033)</td>
<td valign="top" align="center">-0.011 (-0.161, 0.138)<sup>c</sup>
</td>
<td valign="top" align="center">-0.078 (-0.192, 0.035)</td>
<td valign="top" align="center">-0.187 (-0.288, -0.087)</td>
<td valign="top" align="center">0.014</td>
</tr>
<tr>
<td valign="top" align="left">Femoral intertrochanter</td>
<td valign="top" align="center">0.017 (-0.064, 0.098)</td>
<td valign="top" align="center">0.154 (0.001, 0.306)<sup>bc</sup>
</td>
<td valign="top" align="center">0.057 (-0.053, 0.168)</td>
<td valign="top" align="center">-0.002 (-0.090, 0.087)</td>
<td valign="top" align="center">0.084</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Data are presented as mean (95% CI). BMD, bone mineral density. HOMA-IR, homeostasis model assessment-insulin resistance. <sup>a</sup>Adjusted for age, sex, race, body mass index, and chronic kidney disease. <sup>b</sup>p&lt;0.05 vs. HOMA-IR &lt;2, HOMA-&#x3b2; &lt;100. <sup>c</sup>p&lt;0.05 vs. HOMA-IR &#x2265;2, HOMA-&#x3b2; &#x2265;100.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The association between HOMA-IR and osteoporosis is shown in <xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>. Overall, there was no significant association between HOMA-IR and osteoporosis. The findings were similar in participants with a HOMA-&#x3b2; &lt;100. Nevertheless, we observed a positive association between HOMA-IR and osteoporosis in participants who had a HOMA-&#x3b2; &#x2265; 100, especially at the femoral neck (OR 8.773, 95% CI 2.160-35.637, p=0.002, p interaction 0.010, (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>).</p>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Association of HOMA-IR with osteoporosis<sup>a</sup>.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left"/>
<th valign="top" colspan="2" align="center">Overall</th>
<th valign="top" colspan="2" align="center">HOMA-&#x3b2; &lt;100</th>
<th valign="top" colspan="2" align="center">HOMA-&#x3b2; &#x2265;100</th>
<th valign="top" align="center"/>
</tr>
<tr>
<th valign="top" align="left"/>
<th valign="top" align="center">OR (95% CI)<sup>b</sup>
</th>
<th valign="top" align="center">P</th>
<th valign="top" align="center">OR (95% CI)<sup>b</sup>
</th>
<th valign="top" align="center">P</th>
<th valign="top" align="center">OR (95% CI)<sup>b</sup>
</th>
<th valign="top" align="center">P</th>
<th valign="top" align="center">P for interaction</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Lumbar spine</td>
<td valign="top" align="center">1.109 (0.903-1.362)</td>
<td valign="top" align="center">0.325</td>
<td valign="top" align="center">1.047 (0.781-1.403)</td>
<td valign="top" align="center">0.761</td>
<td valign="top" align="center">1.248 (0.785-1.984)</td>
<td valign="top" align="center">0.349</td>
<td valign="top" align="center">0.176</td>
</tr>
<tr>
<td valign="top" align="left">Total hip</td>
<td valign="top" align="center">0.788 (0.396-1.568)</td>
<td valign="top" align="center">0.498</td>
<td valign="top" align="center">0.553 (0.227-1.347)</td>
<td valign="top" align="center">0.192</td>
<td valign="top" align="center">2.601 (0.780-8.670)</td>
<td valign="top" align="center">0.120</td>
<td valign="top" align="center">0.188</td>
</tr>
<tr>
<td valign="top" align="left">Femoral neck</td>
<td valign="top" align="center">1.270 (0.834-1.934)</td>
<td valign="top" align="center">0.265</td>
<td valign="top" align="center">1.072 (0.669-1.717)</td>
<td valign="top" align="center">0.774</td>
<td valign="top" align="center">8.773 (2.160-35.637)</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">0.010</td>
</tr>
<tr>
<td valign="top" align="left">Greater trochanter</td>
<td valign="top" align="center">1.230 (0.584-2.589)</td>
<td valign="top" align="center">0.586</td>
<td valign="top" align="center">0.935 (0.396-2.203)</td>
<td valign="top" align="center">0.877</td>
<td valign="top" align="center">3.016 (0.439-20.726)</td>
<td valign="top" align="center">0.262</td>
<td valign="top" align="center">0.238</td>
</tr>
<tr>
<td valign="top" align="left">Femoral intertrochanter</td>
<td valign="top" align="center">0.654 (0.298-1.437)</td>
<td valign="top" align="center">0.291</td>
<td valign="top" align="center">0.492 (0.167-1.454)</td>
<td valign="top" align="center">0.200</td>
<td valign="top" align="center">2.851 (0.212-38.264)</td>
<td valign="top" align="center">0.429</td>
<td valign="top" align="center">0.089</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>HOMA-IR, homeostasis model assessment-insulin resistance. <sup>a</sup>T score &#x2264; -2.5. <sup>b</sup>Adjusted for age, sex, race, body mass index, and chronic kidney disease.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>
<xref ref-type="table" rid="T4">
<bold>Table&#xa0;4</bold>
</xref> shows the association between HOMA-&#x3b2; and osteoporosis. There was no significant association between HOMA-&#x3b2; and osteoporosis in the overall population. In contrast to the non-significant association in participants who had a HOMA-IR &#x2265; 2, we observed a negative association between HOMA-&#x3b2; and osteoporosis in participants with a HOMA-IR &lt;2 (especially at the femoral neck, OR 0.183, 95% CI 0.038-0.882, p=0.034, p interaction 0.010, <xref ref-type="table" rid="T4">
<bold>Table&#xa0;4</bold>
</xref>).</p>
<table-wrap id="T4" position="float">
<label>Table&#xa0;4</label>
<caption>
<p>Association of HOMA-&#x3b2; with osteoporosis<sup>a</sup>.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left"/>
<th valign="top" colspan="2" align="center">Overall</th>
<th valign="top" colspan="2" align="center">HOMA-IR &lt;2</th>
<th valign="top" colspan="2" align="center">HOMA-IR &#x2265;2</th>
<th valign="top" align="center"/>
</tr>
<tr>
<th valign="top" align="left"/>
<th valign="top" align="center">OR (95% CI)<sup>b</sup>
</th>
<th valign="top" align="center">P</th>
<th valign="top" align="center">OR (95% CI)<sup>b</sup>
</th>
<th valign="top" align="center">P</th>
<th valign="top" align="center">OR (95% CI)<sup>b</sup>
</th>
<th valign="top" align="center">P</th>
<th valign="top" align="center">P for interaction</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Lumbar spine</td>
<td valign="top" align="center">1.107 (0.887-1.382)</td>
<td valign="top" align="center">0.369</td>
<td valign="top" align="center">0.876 (0.495-1.552)</td>
<td valign="top" align="center">0.650</td>
<td valign="top" align="center">1.128 (0.873-1.457)</td>
<td valign="top" align="center">0.358</td>
<td valign="top" align="center">0.176</td>
</tr>
<tr>
<td valign="top" align="left">Total hip</td>
<td valign="top" align="center">0.959 (0.474-1.939)</td>
<td valign="top" align="center">0.906</td>
<td valign="top" align="center">0.554 (0.130-2.350)</td>
<td valign="top" align="center">0.423</td>
<td valign="top" align="center">1.208 (0.603-2.420)</td>
<td valign="top" align="center">0.594</td>
<td valign="top" align="center">0.188</td>
</tr>
<tr>
<td valign="top" align="left">Femoral neck</td>
<td valign="top" align="center">1.128 (0.605-2.105)</td>
<td valign="top" align="center">0.704</td>
<td valign="top" align="center">0.183 (0.038-0.882)</td>
<td valign="top" align="center">0.034</td>
<td valign="top" align="center">1.118 (0.505-2.474)</td>
<td valign="top" align="center">0.783</td>
<td valign="top" align="center">0.010</td>
</tr>
<tr>
<td valign="top" align="left">Greater trochanter</td>
<td valign="top" align="center">1.123 (0.608-2.076)</td>
<td valign="top" align="center">0.711</td>
<td valign="top" align="center">0.473 (0.130-1.728)</td>
<td valign="top" align="center">0.258</td>
<td valign="top" align="center">1.197 (0.555-2.581)</td>
<td valign="top" align="center">0.647</td>
<td valign="top" align="center">0.238</td>
</tr>
<tr>
<td valign="top" align="left">Femoral intertrochanter</td>
<td valign="top" align="center">0.865 (0.447-1.673)</td>
<td valign="top" align="center">0.667</td>
<td valign="top" align="center">0.250 (0.033-1.888)</td>
<td valign="top" align="center">0.179</td>
<td valign="top" align="center">1.386 (0.650-2.957)</td>
<td valign="top" align="center">0.398</td>
<td valign="top" align="center">0.089</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>HOMA-IR, homeostasis model assessment-insulin resistance. <sup>a</sup>T score &#x2264; -2.5. <sup>b</sup>Adjusted for age, sex, race, body mass index, and chronic kidney disease.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>
<xref ref-type="table" rid="T5">
<bold>Table&#xa0;5</bold>
</xref> shows the joint effect of HOMA-IR and HOMA-&#x3b2; on osteoporosis. Compared with participants who had HOMA-IR &lt;2 and HOMA-&#x3b2; &lt;100, those with HOMA-IR &lt;2 and HOMA-&#x3b2; &#x2265; 100 had a lower risk of osteoporosis (OR 0.126, 95% CI 0.020-0.805, p=0.032 at the femoral neck). This was not the case in participants with HOMA-IR &#x2265; 2. With regard to osteoporosis at the femoral neck, HOMA-IR &#x2265; 2 was associated with a higher risk compared with HOMA-IR &lt;2 and HOMA-&#x3b2; &#x2265; 100. The risk was even higher in participants with HOMA-IR &#x2265; 2 and HOMA-&#x3b2; &#x2265; 100 (<xref ref-type="table" rid="T5">
<bold>Table&#xa0;5</bold>
</xref>).</p>
<table-wrap id="T5" position="float">
<label>Table&#xa0;5</label>
<caption>
<p>Joint effect of HOMA-IR and HOMA-&#x3b2; on osteoporosis<sup>a</sup>.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left"/>
<th valign="top" align="center">HOMA-IR &lt;2, HOMA-&#x3b2; &lt;100</th>
<th valign="top" align="center">HOMA-IR &lt;2, HOMA-&#x3b2; &#x2265;100</th>
<th valign="top" align="center">HOMA-IR &#x2265;2, HOMA-&#x3b2; &lt;100</th>
<th valign="top" align="center">HOMA-IR &#x2265;2, HOMA-&#x3b2; &#x2265;100</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Lumbar spine</td>
<td valign="top" align="left">Ref</td>
<td valign="top" align="center">0.826 (0.457-1.493)</td>
<td valign="top" align="center">0.986 (0.755-1.287)</td>
<td valign="top" align="center">1.145 (0.897-1.460)</td>
</tr>
<tr>
<td valign="top" align="left">Total hip</td>
<td valign="top" align="left">Ref</td>
<td valign="top" align="center">0.433 (0.091-2.053)</td>
<td valign="top" align="center">0.599 (0.259-1.389)</td>
<td valign="top" align="center">0.766 (0.344-1.706)</td>
</tr>
<tr>
<td valign="top" align="left">Femoral neck</td>
<td valign="top" align="left">Ref</td>
<td valign="top" align="center">0.126 (0.020-0.805)</td>
<td valign="top" align="center">1.070 (0.656-1.744)<sup>b</sup>
</td>
<td valign="top" align="center">1.256 (0.625-2.526)<sup>b</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">Greater trochanter</td>
<td valign="top" align="left">Ref</td>
<td valign="top" align="center">0.427 (0.103-1.778)</td>
<td valign="top" align="center">1.036 (0.438-2.448)</td>
<td valign="top" align="center">1.278 (0.554-2.945)</td>
</tr>
<tr>
<td valign="top" align="left">Femoral intertrochanter</td>
<td valign="top" align="left">Ref</td>
<td valign="top" align="center">0.225 (0.028-1.796)</td>
<td valign="top" align="center">0.493 (0.175-1.392)</td>
<td valign="top" align="center">0.827 (0.381-1.796)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Data are presented as OR (95% CI), adjusted for age, sex, race, body mass index, smoking, hypertension, and chronic kidney disease. HOMA-IR, homeostasis model assessment-insulin resistance. <sup>a</sup>T score &#x2264; -2.5. <sup>b</sup>p&lt;0.05 vs. HOMA-IR &lt;2, HOMA-&#x3b2; &#x2265;100.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s4" sec-type="discussion">
<title>Discussion</title>
<p>In this cross-sectional study using data from the NHANES, we demonstrated that HOMA-&#x3b2; &#x2265; 100 with HOMA-IR &lt;2 was associated with a higher BMD and T score, as well as a lower risk of osteoporosis (vs. HOMA-&#x3b2; &lt;100 with HOMA-IR &lt;2). In contrast, HOMA-&#x3b2; &#x2265; 100 with HOMA-IR &#x2265; 2 was associated with lower BMD and T scores (vs. HOMA-&#x3b2; &#x2265; 100 with HOMA-IR &lt;2). Our findings suggest that the association between insulinemia and BMD/T score might be different depending on an individual&#x2019;s IR status.</p>
<p>Previous studies revealed that insulin plays an important role in the anabolic effect on bone mass and trabecular bone microarchitecture (<xref ref-type="bibr" rid="B15">15</xref>, <xref ref-type="bibr" rid="B16">16</xref>, <xref ref-type="bibr" rid="B25">25</xref>, <xref ref-type="bibr" rid="B26">26</xref>). Increased proliferation and collagen synthesis in response to insulin treatment were noted in <italic>in vitro</italic> studies using cultured osteoblasts (<xref ref-type="bibr" rid="B27">27</xref>&#x2013;<xref ref-type="bibr" rid="B29">29</xref>). Moreover, insulin may exert synergistic effects with insulin-like growth factor 1 and parathyroid hormone (<xref ref-type="bibr" rid="B30">30</xref>, <xref ref-type="bibr" rid="B31">31</xref>), both of which have anabolic effects on bone cells. These findings are in line with previous studies using insulin-deficient animal models in which reduced bone formation was noted (<xref ref-type="bibr" rid="B32">32</xref>, <xref ref-type="bibr" rid="B33">33</xref>). Furthermore, insulin treatment might reverse the deficiency (<xref ref-type="bibr" rid="B34">34</xref>, <xref ref-type="bibr" rid="B35">35</xref>). The aforementioned results are supported by the findings of decreased bone mass in patients with type 1 diabetes (<xref ref-type="bibr" rid="B36">36</xref>&#x2013;<xref ref-type="bibr" rid="B38">38</xref>).</p>
<p>Nevertheless, there are conflicting findings in type 2 diabetes. People with type 2 diabetes have a higher BMD, but a higher risk of fracture, than those without the disease (<xref ref-type="bibr" rid="B39">39</xref>&#x2013;<xref ref-type="bibr" rid="B41">41</xref>). This phenomenon suggests that IR may influence the effects of insulinemia on bone mass. Shin D, et&#xa0;al. (<xref ref-type="bibr" rid="B22">22</xref>) reported different associations between insulinemia and BMD at various levels of HOMA-IR in men. Consistent with our findings, fasting insulin level was positively associated with BMD at low HOMA-IR. However, a negative association was observed at a higher IR state. Similarly, fasting insulin was positively associated with BMD in adolescents in a cross-sectional study (<xref ref-type="bibr" rid="B42">42</xref>). Nevertheless, an inverse association was noted after adjustment for fat mass. Hence, IR may affect the association between insulinemia and bone mass, and investigations on different populations may yield inconsistent results (<xref ref-type="bibr" rid="B15">15</xref>&#x2013;<xref ref-type="bibr" rid="B20">20</xref>). We examined the joint effect of HOMA-IR and HOMA-&#x3b2; on osteoporosis (<xref ref-type="table" rid="T5">
<bold>Table&#xa0;5</bold>
</xref>). Our findings suggest that HOMA-&#x3b2; &#x2265; 100 with HOMA-IR &lt;2 was associated with a lower risk of osteoporosis. In contrast, the risk increased with HOMA-&#x3b2; &#x2265; 100 and HOMA-IR &#x2265; 2.</p>
<p>It is interesting to note that the associations among HOMA-&#x3b2;, HOMA-IR, and BMD/osteoporosis were more apparent at the femoral neck (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>&#x2013;<xref ref-type="table" rid="T5">
<bold>5</bold>
</xref>). IR has been negatively associated with cortical bone volume and bone strength at the femoral neck in postmenopausal women (<xref ref-type="bibr" rid="B18">18</xref>). Similar findings were noted in a general population (<xref ref-type="bibr" rid="B43">43</xref>), although the negative association between IR and BMD at the femoral neck became non-significant after adjustment for body mass index. The associations among HOMA-IR, HOMA-&#x3b2;, and BMD/osteoporosis at different anatomic sites merit further investigation (<xref ref-type="bibr" rid="B44">44</xref>).</p>
<p>Our study had several limitations. First, we investigated the associations among HOMA-IR, HOMA-&#x3b2;, and BMD/osteoporosis using cross-sectional data. Thus, the causal relationships could not be confirmed. Second, some relevant factors (such as diet and exercise) were not analyzed. This might have confounded our results. Third, we did not have data on fracture events. We could not confirm that the associations among HOMA-IR, HOMA-&#x3b2;, and BMD/osteoporosis were linked to risk of fracture. Despite these limitations, we demonstrated a joint effect of HOMA-IR and HOMA-&#x3b2; on osteoporosis which may help explain the inconsistent findings in populations with high variations in IR and pancreatic &#x3b2;-cell function (<xref ref-type="bibr" rid="B15">15</xref>&#x2013;<xref ref-type="bibr" rid="B20">20</xref>, <xref ref-type="bibr" rid="B45">45</xref>).</p>
<p>In conclusion, the association between insulinemia (HOMA-&#x3b2;) and BMD/osteoporosis changed as IR (HOMA-IR) increased. HOMA-&#x3b2; was negatively associated with osteoporosis at a low level of HOMA-IR (&lt;2). The association was not significant when HOMA-IR &#x2265; 2. The mechanisms by which IR affects the association between insulinemia and osteoporosis merit further investigation.</p>
</sec>
<sec id="s5" sec-type="data-availability">
<title>Data availability statement</title>
<p>The datasets presented in this study can be found in online repositories. The names of the repository/repositories and accession number(s) can be found below: <uri xlink:href="https://wwwn.cdc.gov/nchs/nhanes/Search/DataPage.aspx?Component=Dietary&amp;CycleBeginYear=2005">https://wwwn.cdc.gov/nchs/nhanes/Search/DataPage.aspx?Component=Dietary&amp;CycleBeginYear=2005</uri>.</p>
</sec>
<sec id="s6" sec-type="ethics-statement">
<title>Ethics statement</title>
<p>The studies involving human participants were reviewed and approved by Institutional Review Board of Taichung Veterans General Hospital, Taichung, Taiwan. The patients/participants provided their written informed consent to participate in this study.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>C-LL and J-SW contributed to conception and design of the study. Y-HF and W-JL organized the database. W-JL and C-LL performed the statistical analysis. Y-HF and J-SW wrote the first draft of the manuscript. W-JL and C-LL reviewed and edited the manuscript. All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>This research was funded by Taichung Veterans General Hospital [grant number TCVGH-1093504C, TCVGH-1097316C, TCVGH-1097327D, TCVGH-1103502C, and TCVGH-1113502C]. The sponsors had no role in the design, execution, interpretation, or writing of the study.</p>
</sec>
<sec id="s9" sec-type="acknowledgement">
<title>Acknowledgments</title>
<p>We would like to thank the participants in the NHANES, and the members of the National Center for Health Statistics for collecting the data and making it publicly available.</p>
</sec>
<sec id="s10" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s11" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
</body>
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