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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.2024.1345781</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>The association of body mass index variability with cardiovascular disease and mortality: a mediation analysis of pooled cohorts</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Mehran</surname>
<given-names>Ladan</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Honarvar</surname>
<given-names>Mohammadjavad</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Masoumi</surname>
<given-names>Safdar</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2408227"/>
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<contrib contrib-type="author">
<name>
<surname>Khalili</surname>
<given-names>Davood</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Azizi</surname>
<given-names>Fereidoun</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/260424"/>
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</contrib>
<contrib contrib-type="author" equal-contrib="yes" corresp="yes">
<name>
<surname>Blaha</surname>
<given-names>Michael J.</given-names>
</name>
<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>
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<contrib contrib-type="author" equal-contrib="yes" corresp="yes">
<name>
<surname>Amouzegar</surname>
<given-names>Atieh</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
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<aff id="aff1">
<sup>1</sup>
<institution>Endocrine Research Center, Research Institute for Endocrine Sciences, Shahid Beheshti University of Medical Sciences</institution>, <addr-line>Tehran</addr-line>, <country>Iran</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Prevention of Metabolic Disorders Research Center, Research Institute for Endocrine Sciences, Shahid Beheshti University of Medical Sciences</institution>, <addr-line>Tehran</addr-line>, <country>Iran</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Department of Biostatistics and Epidemiology, Research Institute for Endocrine Sciences, Shahid Beheshti University of Medical Sciences</institution>, <addr-line>Tehran</addr-line>, <country>Iran</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Ciccarone Center for the Prevention of Cardiovascular Disease, Johns Hopkins University</institution>, <addr-line>Baltimore, MD</addr-line>, <country>United States</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Department of Epidemiology, Johns Hopkins Bloomberg School of Public Health, Johns Hopkins University</institution>, <addr-line>Baltimore, MD</addr-line>, <country>United States</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Paola Di Pietro, University of Salerno, Italy</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Eleni Rebelos, Turku PET Centre, Finland</p>
<p>Maleesa Pathirana, Lyell McEwin Hospital, Australia</p>
<p>Saeideh Momtaz, Academic Center for Education, Culture and Research, Iran</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Atieh Amouzegar, <email xlink:href="mailto:amouzegar@endocrine.ac.ir">amouzegar@endocrine.ac.ir</email>; Michael J. Blaha, <email xlink:href="mailto:mblaha1@jhmi.edu">mblaha1@jhmi.edu</email>
</p>
</fn>
<fn fn-type="equal" id="fn003">
<p>&#x2020;These authors have contributed equally to this work</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>13</day>
<month>05</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>15</volume>
<elocation-id>1345781</elocation-id>
<history>
<date date-type="received">
<day>28</day>
<month>11</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>24</day>
<month>04</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Mehran, Honarvar, Masoumi, Khalili, Azizi, Blaha and Amouzegar</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Mehran, Honarvar, Masoumi, Khalili, Azizi, Blaha and Amouzegar</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>
<sec>
<title>Aim</title>
<p>We aimed to investigate the effect of BMI variability on CVD and mortality and to explore the mediation effects of the main cardiovascular risk factors contributing to this association.</p>
</sec>
<sec>
<title>Method</title>
<p>Participants aged 40-65 years were pooled from three cohort studies(ARIC [Atherosclerosis Risk in Communities], MESA [Multi-ethnic Study of Atherosclerosis], and TLGS [Tehran Lipid and Glucose Study]. We employed root mean squared error of the fractional mixed model to calculate BMI variability in the measurement period. In the event assessment period, the hazard ratios for CVD and mortality were estimated using Cox proportional hazard regression models. In the next step, the mediation and interaction effects of fasting plasma glucose, total cholesterol, and systolic blood pressure were determined.</p>
</sec>
<sec>
<title>Results</title>
<p>A total of 19073 participants were included in this pooled analysis. During a median of 20.7 years of follow-up, 3900 (20.44%) CVD and 6480 (33.97%) all-cause mortality events were recorded. After adjusting for potential confounders, BMI variability was linked to the 1.3 (1.2-1.4) and 1.7 (1.6-1.8) increased risk of CVD and mortality, respectively. Fasting plasma glucose mediated approximately 24% and 8% of the effect of BMI variability on CVD and mortality, respectively. However, systolic blood pressure and total cholesterol did not have mediation effects in this association.</p>
</sec>
<sec>
<title>Conclusion</title>
<p>High BMI variability is independently associated with the development of CVD and mortality. This association is partly mediated through fasting plasma glucose. Modern cardiometabolic therapies that lower fasting glucose may reduce the risk of future CVD and mortality in individuals with high BMI variability.</p>
</sec>
</abstract>
<kwd-group>
<kwd>cardiovascular disease</kwd>
<kwd>mortality</kwd>
<kwd>body mass index</kwd>
<kwd>weight variability</kwd>
<kwd>mediation analysis</kwd>
</kwd-group>
<counts>
<fig-count count="2"/>
<table-count count="5"/>
<equation-count count="3"/>
<ref-count count="41"/>
<page-count count="10"/>
<word-count count="5373"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Obesity</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<title>Introduction</title>
<p>Obesity is a well-known risk factor for cardiovascular disease (CVD) and mortality (<xref ref-type="bibr" rid="B1">1</xref>, <xref ref-type="bibr" rid="B2">2</xref>). Overweight and obese individuals with additional cardiovascular risk factors are recommended to lose weight through lifestyle modifications (<xref ref-type="bibr" rid="B3">3</xref>). However, weight loss maintenance is challenging and is followed by weight regain in the long term (<xref ref-type="bibr" rid="B4">4</xref>). In a systematic review of observational studies, 42% of the general population reported personal weight control attempts (<xref ref-type="bibr" rid="B5">5</xref>). Adherence to a weight loss strategy plan, metabolic adaptation, energy homeostasis, and pregnancy are the factors that may lead to recurrent cycles of weight loss and regain and, thus, unsuccessful attempts at sustained weight loss (<xref ref-type="bibr" rid="B6">6</xref>).</p>
<p>The obesity paradox refers to the seemingly counterintuitive notion that body mass index (BMI) is not a consistent cardiovascular risk factor in overweight and obese individuals (<xref ref-type="bibr" rid="B7">7</xref>, <xref ref-type="bibr" rid="B8">8</xref>), and questions the cardiovascular health benefits of weight loss in the long term (<xref ref-type="bibr" rid="B9">9</xref>&#x2013;<xref ref-type="bibr" rid="B11">11</xref>). Body weight variability has been examined as an additional risk factor to explain the controversial findings on the effect of weight loss on CVD and mortality (<xref ref-type="bibr" rid="B12">12</xref>, <xref ref-type="bibr" rid="B13">13</xref>). Although several studies suggested that weight variability independently increases the risk of CVD and mortality (<xref ref-type="bibr" rid="B12">12</xref>), some studies found no association or decreased risk for future CVD (<xref ref-type="bibr" rid="B14">14</xref>&#x2013;<xref ref-type="bibr" rid="B16">16</xref>). In addition, the relationship between weight variability and CVD is inconsistent among different subpopulations (<xref ref-type="bibr" rid="B17">17</xref>, <xref ref-type="bibr" rid="B18">18</xref>). The mechanisms through which weight variability increases the risk of CVD and mortality are not understood, and a few studies have explored the correlation of weight variability with cardiovascular risk factors (<xref ref-type="bibr" rid="B19">19</xref>, <xref ref-type="bibr" rid="B20">20</xref>).</p>
<p>To address the gap in the literature, the current study investigated the association of BMI variability with CVD incidence and all-cause mortality in a large pooled sample and in different subpopulations. We also delved deeper into the underlying mechanisms driving the link between BMI variability and CVD and mortality by performing mediation analyses. This would help to determine the specific cardiovascular risk factors that act as intermediaries in this relationship, shedding new light on the potentially complex relationship between BMI variability and CVD and mortality.</p>
</sec>
<sec id="s2">
<title>Methods</title>
<sec id="s2_1">
<title>Study population</title>
<p>The current study was based on data from three large population-based cohort studies designed to investigate the risk factors for non-communicable diseases: Atherosclerosis Risk in Communities (ARIC), Multi-Ethnic Study of Atherosclerosis (MESA), and Tehran Lipid and Glucose Study (TLGS). The Biologic Specimen and Data Repository Information Coordinating Center (BioLINCC), managed by the National Heart, Lung, and Blood Institute (NHLBI), granted access to the public-use datasets for the ARIC and MESA studies by coordinating their storage and distribution. Previous publications have provided detailed and comprehensive descriptions of the cohorts&#x2019; design, protocols, and participant characteristics (<xref ref-type="bibr" rid="B21">21</xref>&#x2013;<xref ref-type="bibr" rid="B23">23</xref>).</p>
</sec>
<sec id="s2_2">
<title>ARIC</title>
<p>The ARIC study is a prospective multi-center cohort of 15,972 adults aged 45-64 in 1987-1989, randomly selected and recruited from four clinical sites in the United States (Washington County, MD; Forsyth County, NC; Jackson, MS; and Minneapolis, MN). The study participants were enrolled in seven study examination visits with three-year intervals (visit 1: 1987-1989, visit 2: 1990&#x2013;1992, visit 3: 1993&#x2013;1995, visit 4: 1996&#x2013;1998, visit 5: 2011&#x2013;2013, visit 6: 2016&#x2013;2017, and visit 7: 2018&#x2013;2019) and followed annually through telephone interviews to obtain most recent health-related information.</p>
</sec>
<sec id="s2_3">
<title>MESA</title>
<p>In 2000-2002, the MESA study recruited a population-based sample of 6,814 individuals between 45 and 84 years old from six field centers across the United States (Baltimore, MD; Chicago, IL; Forsyth County, NC; Los Angeles, CA; New York, NY; and Saint Paul, MN). The subsequent follow-up examination visits were performed during 2002-2004 (visit 2), 2004-2005 (visit 3), 2005-2007 (visit 4), and 2010-2012 (visit 5) and 2016-2018 (visit 6). The participants were contacted at 9-12 months intervals for updates on medical conditions.</p>
</sec>
<sec id="s2_4">
<title>TLGS</title>
<p>The TLGS is an ongoing population-based cohort study initiated during 1999-2001 by recruiting 18,555 members aged&#x2265;3 years in Tehran, Iran. The examination visits were held in approximate three-year intervals (visit 2: 2002-2005, visit 3: 2005-2008, visit 4: 2009-2011, visit 5: 2011-2014, visit 6: 2015-2018). Participants were followed annually for any medical event by telephone calls.</p>
</sec>
<sec id="s2_5">
<title>Study timeline</title>
<p>The timeline for the current study was divided into two distinct periods: a measurement period, beginning at baseline and continuing until the end of the fourth examination visit, and an event assessment period, which started from the fourth examination until the end of the study (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). We included a total of 32628 participants aged 40 to 65 years old at baseline from the ARIC (n=14996), MESA (n=4084), and TLGS (n=13548) cohorts. Participants with CVD (n=430), cancer (n=526), estimated glomerular filtration rate (eGFR)&lt;30 mL/min/1.73m&#xb2; (n=32), and missing covariates at baseline (n=2293) were excluded. Participants with CVD and mortality events in the measurement period (n=362) and with less than three BMI records during the measurement period (n=9912) were also excluded.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Flowchart of the study participants and timeline of the pooled study cohort. CVD, cardiovascular disease; eGFR, estimated glomerular filtration rate; BMI, body mass index; ARIC, Atherosclerosis Risk in Communities; MESA, Multi-Ethnic Study of Atherosclerosis; TLGS, Tehran Lipid and Glucose Study.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-15-1345781-g001.tif"/>
</fig>
</sec>
<sec id="s2_6">
<title>Definition of variables</title>
<p>BMI was calculated by dividing weight in kilograms by the square of height in meters (kg/m&#xb2;). Diabetes was defined as fasting plasma glucose (FPG) 126 mg/dl or the use of glucose-lowering medication. Hypertension was determined by systolic blood pressure (SBP)&#x2265;140mmHg, diastolic blood pressure&#x2265;90mmHg, or the use of antihypertensive medications. The education level categories were: 1) primary school (less than 6 years of education), 2) high school (6-12 years of education), and 3) higher education degree (12 years or more of education). Two categories were used to classify smoking status: current and non-smokers (former and never smokers). The eGFR was calculated using the Chronic Kidney Disease Epidemiology Collaboration (CKD-EPI) 2021 formula.</p>
</sec>
<sec id="s2_7">
<title>Definition of outcomes</title>
<p>Our primary outcomes were incident CVD and all-cause mortality. Incident CVD was defined as a composite of fatal and non-fatal coronary heart disease (CHD) and stroke; incident CHD was defined as myocardial infarction, angina if followed by revascularization or medical treatment, coronary procedures, and death due to CHD. The outcome review committees in each study adjudicated the classification and incidence date of events to examine hospitalization and mortality based on previously published study protocols (<xref ref-type="bibr" rid="B21">21</xref>&#x2013;<xref ref-type="bibr" rid="B23">23</xref>).</p>
</sec>
<sec id="s2_8">
<title>Statistical analysis</title>
<p>The baseline characteristics of the study population were reported as mean values with standard deviation (SD) for continuous variables and as percentages for categorical variables. The data were compared using appropriate statistical tests, the Chi-square test for categorical variables and one-way analysis of variance (ANOVA) for continuous variables.</p>
<p>Our investigation in this study was based on the variability of BMI values instead of weight, as weight changes can be affected by variations in height. In the current study, we ran mixed effect regression models using fractional polynomials to obtain the BMI trend of each individual in the measurement period and calculated BMI variability using the root mean squared error (RMSE) (1). In this method, BMI variability is not sensitive to the mean values and number of measurements. Moreover, it captures large weight variations and not the non-linearity in the natural trend of BMI (<xref ref-type="bibr" rid="B18">18</xref>, <xref ref-type="bibr" rid="B24">24</xref>).</p>
</sec>
<sec id="s2_9">
<title>Estimation of BMI trend in longitudinal age</title>
<p>Briefly, we used mixed-effect regression models to investigate the BMI trend of each individual in longitudinal age since mixed-effect regression models account for the correlations that arise from the multiple BMI measurements taken from one person. This model estimates both the population-level effect (fixed effect; with age as the covariate) and the individual-level effect (random effect). By including the random effect, we also captured the variability of BMI change between individuals. We used fractional polynomials to obtain the best-fit mixed-effect regression model since the fractional polynomials is a flexible approach that allows the power of the polynomial terms to be any real number and fit curves that are not possible with traditional polynomials.</p>
<p>To estimate BMI trends, we fitted smooth trends using fractional polynomial mixed models (with random intercept) that accounted for the longitudinal age at each measurement. We derived the trend parameters for longitudinal age and intercept using random effects (<xref ref-type="disp-formula" rid="eq1">Equation 1</xref>).</p>
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<label>(1)</label>
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<mml:mrow>
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<mml:mo stretchy="false">)</mml:mo>
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<mml:mtext>&#xa0;&#xa0;&#xa0;</mml:mtext>
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<mml:mo>+</mml:mo>
<mml:msub>
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<mml:msubsup>
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<mml:mrow>
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<mml:mo>+</mml:mo>
<mml:msub>
<mml:mtext>&#x3b5;</mml:mtext>
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<mml:mi>j</mml:mi>
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<p>In the equation, <inline-formula>
<mml:math display="inline" id="im1">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>BMI</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
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<mml:mi>j</mml:mi>
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</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the BMI of the participant &#x201c;i&#x201d; at the examination visit &#x201c;j&#x201d;. <italic>&#x3b2;</italic>
<sub>0</sub> represents the intercept and <inline-formula>
<mml:math display="inline" id="im2">
<mml:mrow>
<mml:msub>
<mml:mi>b</mml:mi>
<mml:mrow>
<mml:mn>0</mml:mn>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the random intercept for each individual i with the assumption of normal distribution. This random intercept term accounts for individual variation that cannot be explained by the other variables in the model. The population parameters, <inline-formula>
<mml:math display="inline" id="im3">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, represent the estimated changes in BMI values over longitudinal age. The optimal model for the BMI trend of individuals was selected based on the fractional model. <xref ref-type="disp-formula" rid="eq2">Equation (2)</xref> represents the final optimal model for predicting BMI values:</p>
<disp-formula id="eq2">
<label>(2)</label>
<mml:math display="block" id="M2">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mtext>BMI</mml:mtext>
</mml:mrow>
<mml:mo stretchy="true">^</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi>&#x3b2;</mml:mi>
<mml:mo>^</mml:mo>
</mml:mover>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mover accent="true">
<mml:mi>b</mml:mi>
<mml:mo>^</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mn>0</mml:mn>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mover accent="true">
<mml:mi>&#x3b2;</mml:mi>
<mml:mo>^</mml:mo>
</mml:mover>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mi>a</mml:mi>
<mml:mi>g</mml:mi>
<mml:mi>e</mml:mi>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mover accent="true">
<mml:mi>&#x3b2;</mml:mi>
<mml:mo>^</mml:mo>
</mml:mover>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>a</mml:mi>
<mml:mi>g</mml:mi>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mover accent="true">
<mml:mi>&#x3b2;</mml:mi>
<mml:mo>^</mml:mo>
</mml:mover>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mi>a</mml:mi>
<mml:mi>g</mml:mi>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mn>3</mml:mn>
</mml:msup>
<mml:mo>&#xa0;</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
</sec>
<sec id="s2_10">
<title>BMI variability calculation</title>
<p>After obtaining the BMI trend for each individual (the final model), we calculated the intraindividual BMI variability using the root mean squared error (RMSE) formula (<xref ref-type="disp-formula" rid="eq3">Equation 3</xref>) i.e., the average of the square root of the difference between the actual and fitted BMI (obtained from the final model) values at each time point.</p>
<disp-formula id="eq3">
<label>(3)</label>
<mml:math display="block" id="M3">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>S</mml:mi>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msqrt>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>k</mml:mi>
</mml:msubsup>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>M</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mo stretchy="true">^</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
<mml:mi>N</mml:mi>
</mml:mfrac>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
</mml:mrow>
</mml:msqrt>
</mml:mrow>
</mml:math>
</disp-formula>
<p>BMI<sub>i,j</sub> = Actual (observed) longitudinal BMI.</p>
<p>
<inline-formula>
<mml:math display="inline" id="im4">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mtext>BMI</mml:mtext>
</mml:mrow>
<mml:mo stretchy="true">^</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mrow>
<mml:mtext>i</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mtext>j</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> = Estimated (fitted) longitudinal BMI.</p>
<p>i represents each individual in the dataset.</p>
<p>k represents the number of BMI records for an individual.</p>
<p>j represents the records of BMI measurement for each individual.</p>
<p>N represents the number of measurements for an individual.</p>
</sec>
<sec id="s2_11">
<title>Survival analysis</title>
<p>To assess the relationship between BMI variability (expressed as BMI-RMSE) and the risk of study outcomes, multivariate-adjusted Cox proportional hazards regression models were utilized. Hazard ratios (HRs) and corresponding 95% confidence intervals (CIs) were calculated using the lowest tertile of BMI variability as the reference group. Model 1 was adjusted for age at baseline and sex. Model 2 was adjusted for age, sex, education level, premature CVD family history, and smoking status. Model 3 was adjusted for model 2 and baseline BMI, fasting plasma glucose, systolic blood pressure, and total cholesterol.</p>
</sec>
<sec id="s2_12">
<title>Mediation analysis</title>
<p>We investigated the role of metabolic indices of FPG, total cholesterol (TC), and SBP, using their mean values in the measurement period, in explaining the effect of BMI variability on CVD incidence and all-cause mortality. To conduct mediation analysis, we performed preliminary analysis to evaluate the association of BMI variability with the potential mediators and the association of the potential mediators with the outcomes. We then conducted the mediation analysis using a four-way decomposition (<xref ref-type="bibr" rid="B25">25</xref>). In this method, the total effect of the exposure on the outcome can be divided into four components. The effect was attributed to both mediation and interaction, interaction only, mediation only, and neither mediation nor interaction. The lowest BMI variability tertile was considered the reference group, and the direct and indirect effect of BMI variability on CVD and mortality was calculated accordingly. The analysis was conducted using R-3.0.3 (R Foundation for Statistical Computing) and Med4way package in STATA 14.0 (StataCorp, College Station, TX, USA) (<xref ref-type="bibr" rid="B25">25</xref>).</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<title>Results</title>
<p>
<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref> presents the baseline characteristics of the study participants according to the BMI variability tertiles. This pooled cohort comprised 19073 participants (51.89% women) with a mean age of 53 &#xb1; 6 years at baseline. The value of BMI variability ranged from 0.02-0.63 Kg/m<sup>2</sup> in the first, 0.63-1.07 Kg/m<sup>2</sup> in the second, and 1.07-9.32 Kg/m<sup>2</sup> in the third tertiles. Toward the highest tertile, the mean values of baseline BMI, SBP, FPG, TG, TC, and BMI change increased while the mean age decreased. The highest BMI variability tertile had a higher prevalence of women, individuals with obesity, and lower education levels, while the lowest BMI variability tertile showed a higher prevalence of current smokers.</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Baseline characteristics of participants of the pooled cohort.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" rowspan="2" align="center">Characteristic</th>
<th valign="middle" colspan="5" align="center">BMI variability RMSE Tertiles</th>
<th valign="middle" rowspan="2" align="center">P-value</th>
</tr>
<tr>
<th valign="middle" align="center">Total</th>
<th valign="middle" align="center">Tertile 1<break/> (.0258, 0.638)</th>
<th valign="middle" colspan="2" align="center">Tertile 2<break/> (0.638, 1.076)</th>
<th valign="middle" align="center">Tertile 3<break/> (1.076, 9.32)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">
<bold>Number of participants</bold>
</td>
<td valign="top" align="center">19,073</td>
<td valign="top" align="center">6,359</td>
<td valign="top" colspan="2" align="center">6,362</td>
<td valign="top" align="center">6,352</td>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left">
<bold>Age (years)</bold>
</td>
<td valign="bottom" align="center">53 &#xb1; 6</td>
<td valign="bottom" align="center">53 &#xb1; 6</td>
<td valign="bottom" colspan="2" align="center">53 &#xb1; 6</td>
<td valign="bottom" align="center">53 &#xb1; 6</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>Female</bold>
</td>
<td valign="bottom" align="center">9897 (51.9)</td>
<td valign="bottom" align="center">3083 (48.5)</td>
<td valign="bottom" colspan="2" align="center">3229 (50.7)</td>
<td valign="bottom" align="center">3585 (56.4)</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>Premature CVD Family history</bold>
</td>
<td valign="top" align="center">1580 (8.3)</td>
<td valign="top" align="center">531 (8.3)</td>
<td valign="top" align="center" colspan="2">561 (8.82)</td>
<td valign="top" align="center">488 (7.7)</td>
<td valign="top" align="center"/>
</tr>
<tr>
<th valign="top" align="left">Education level</th>
<th valign="top" align="center"/>
<th valign="top" align="center"/>
<th valign="top" colspan="2" align="center"/>
<th valign="top" align="center"/>
<th valign="top" align="center">&lt;0.001</th>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Illiterate/primary</td>
<td valign="bottom" align="center">5199 (27.3)</td>
<td valign="bottom" align="center">1516 (23.9)</td>
<td valign="bottom" colspan="2" align="center">1762 (27.7)</td>
<td valign="bottom" align="center">1921 (30.3)</td>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left">&#x2003;High school</td>
<td valign="bottom" align="center">8095 (42.5)</td>
<td valign="bottom" align="center">2661 (41.9)</td>
<td valign="bottom" colspan="2" align="center">2756 (43.4)</td>
<td valign="bottom" align="center">2678 (42.2)</td>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Higher education</td>
<td valign="bottom" align="center">5753 (30.2)</td>
<td valign="bottom" align="center">2173 (34.2)</td>
<td valign="bottom" colspan="2" align="center">1837 (28.9)</td>
<td valign="bottom" align="center">1743 (27.5)</td>
<td valign="top" align="center"/>
</tr>
<tr>
<th valign="top" align="left">Current smoker</th>
<th valign="top" align="center"/>
<th valign="top" align="center"/>
<th valign="top" colspan="2" align="center"/>
<th valign="top" align="center"/>
<th valign="top" align="center">&lt;0.001</th>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Yes</td>
<td valign="bottom" align="center">1828 (12.5)</td>
<td valign="bottom" align="center">631 (13.3)</td>
<td valign="bottom" colspan="2" align="center">645 (13.4)</td>
<td valign="bottom" align="center">552 (11.0)</td>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left">&#x2003;No</td>
<td valign="bottom" align="center">12745 (87.5)</td>
<td valign="bottom" align="center">4120 (86.7)</td>
<td valign="bottom" colspan="2" align="center">4153 (86.6)</td>
<td valign="bottom" align="center">4472 (89.0)</td>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left">
<bold>BMI (Kg/m<sup>2</sup>)</bold>
</td>
<td valign="bottom" align="center">27.8 &#xb1; 5.2</td>
<td valign="bottom" align="center">26.30 &#xb1; 3.4</td>
<td valign="bottom" colspan="2" align="center">27.2 &#xb1; 4.7</td>
<td valign="bottom" align="center">30.1 &#xb1; 6.2</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<th valign="top" align="left">BMI categories</th>
<th valign="top" align="center"/>
<th valign="top" align="center"/>
<th valign="top" colspan="2" align="center"/>
<th valign="top" align="center"/>
<th valign="top" align="center">&lt;0.001</th>
</tr>
<tr>
<td valign="top" align="left">&#x2003;BMI&lt;30 Kg/m<sup>2</sup>
</td>
<td valign="bottom" align="center">13624 (71.4)</td>
<td valign="bottom" align="center">5424 (85.3)</td>
<td valign="bottom" colspan="2" align="center">4744 (74.8)</td>
<td valign="bottom" align="center">3456 (54.4)</td>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left">&#x2003;BMI&#x2265;30 Kg/m<sup>2</sup>
</td>
<td valign="top" align="center">5449 (28.6)</td>
<td valign="top" align="center">935 (14.7)</td>
<td valign="top" colspan="2" align="center">1618 (25.4)</td>
<td valign="top" align="center">2896 (45.6)</td>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left">
<bold>SBP (mm Hg)</bold>
</td>
<td valign="bottom" align="center">120.7 &#xb1; 18.2</td>
<td valign="bottom" align="center">119.5 &#xb1; 17.6</td>
<td valign="bottom" colspan="2" align="center">120.6 &#xb1; 18.24</td>
<td valign="bottom" align="center">122.0 &#xb1; 18.7</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>DBP (mm Hg)</bold>
</td>
<td valign="bottom" align="center">72.4 &#xb1; 10.1</td>
<td valign="bottom" align="center">72.9 &#xb1; 10.0</td>
<td valign="bottom" colspan="2" align="center">72.1 &#xb1; 10.17</td>
<td valign="bottom" align="center">72.0 &#xb1; 10.2</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>FPG (mg/dl)</bold>
</td>
<td valign="bottom" align="center">103.9 &#xb1; 34.8</td>
<td valign="bottom" align="center">99.8 &#xb1; 26.4</td>
<td valign="bottom" colspan="2" align="center">102.7 &#xb1; 30.84</td>
<td valign="bottom" align="center">109.4 &#xb1; 43.97</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>TG (mg/dl)</bold>
</td>
<td valign="bottom" align="center">141.9 &#xb1; 99.8</td>
<td valign="bottom" align="center">137.2 &#xb1; 87.6</td>
<td valign="bottom" colspan="2" align="center">140.8 &#xb1; 95.3</td>
<td valign="bottom" align="center">147.9 &#xb1; 114.51</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>TC (mg/dl)</bold>
</td>
<td valign="bottom" align="center">212.3 &#xb1; 42.0</td>
<td valign="bottom" align="center">210.1 &#xb1; 40.1</td>
<td valign="bottom" colspan="2" align="center">212.7 &#xb1; 41.2</td>
<td valign="bottom" align="center">214.0 &#xb1; 44.6</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>The categorical and continuous variables were reported as count (percentage) and mean &#xb1; SD, respectively.</p>
</fn>
<fn>
<p>BMI, body mass index; RMSE, root mean squared error; CVD, cardiovascular disease; SBP, systolic blood pressure; DBP, diastolic blood pressure; FPG, fasting plasma glucose; TG, triglyceride; TC, total cholesterol.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>During a median of 20.7 years of follow-up, 3900 (20.45%) incident CVD events and 6480 (33.97%) deaths were recorded. <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref> displays the association of BMI variability with CVD events and mortality. After adjusting for age, sex, education, smoking status, and family history of CVD, the highest BMI variability tertile had increased risk for future CVD (HR:1.3; 95% CI:1.2 - 1.4) and mortality (HR: 1.7, 95% CI:1.6 - 1.8). In the fully adjusted model, the participants in the highest tertile had persistently greater risk of CVD (HR: 1.3, 95% CI: 1.2 - 1.4) and mortality (HR: 1.6, 95% CI: 1.5-1.7). In the continuous approach, for each 1-SD increment in BMI variability, the HRs for CVD incidence and mortality were 1.3 (95%CI: 1.2 - 1.4) and 1.7 (95%CI: 1.6 - 1.8), respectively. The subgroup analyses exhibited no difference in the association of BMI variability with CVD and mortality between the sexes and subpopulations based on obesity, diabetes, hypertension, and smoking status (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Tables&#xa0;1</bold>
</xref>, <xref ref-type="supplementary-material" rid="SM1">
<bold>2</bold>
</xref>).</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Association of BMI variability (BMI-RMSE) with all-cause mortality and CVD event.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="center" rowspan="2"/>
<th valign="middle" rowspan="2" align="center">Events</th>
<th valign="middle" rowspan="2" align="center">IR (95% CI) <sup>*</sup>
</th>
<th valign="top" align="center" rowspan="2">Model 1<break/>HR (95% CI)</th>
<th valign="top" align="center" rowspan="2">Model 2<break/>HR (95% CI)</th>
<th valign="top" align="center" rowspan="2">Model 3<break/>HR (95% CI)</th>
</tr>
</thead>
<tbody>
<tr>
<th valign="top" colspan="6" align="left">All-Cause Mortality</th>
</tr>
<tr>
<td valign="top" align="center">&#x2003;BMI-RMSE (per 1 SD)</td>
<td valign="top" align="center">6480</td>
<td valign="bottom" align="center">15.6 (15.2-16.0)</td>
<td valign="top" align="center">
<bold>1.7 (1.6 - 1.8)</bold>
</td>
<td valign="top" align="center">
<bold>1.7 (1.6 - 1.8)</bold>
</td>
<td valign="top" align="center">
<bold>1.7 (1.6 - 1.8)</bold>
</td>
</tr>
<tr>
<th valign="top" colspan="6" align="left">BMI-RMSE Tertiles</th>
</tr>
<tr>
<td valign="top" align="center">&#x2003;Tertile 1</td>
<td valign="top" align="center">1816</td>
<td valign="bottom" align="center">12.9 (12.4 - 13.6)</td>
<td valign="top" align="center">1.0 (Reference)</td>
<td valign="top" align="center">1.0 (Reference)</td>
<td valign="top" align="center">1.0 (Reference)</td>
</tr>
<tr>
<td valign="top" align="center">&#x2003;Tertile 2</td>
<td valign="top" align="center">2105</td>
<td valign="bottom" align="center">15.2 (14.6 - 15.9)</td>
<td valign="bottom" align="center">
<bold>1.2 (1.1 - 1.3)</bold>
</td>
<td valign="bottom" align="center">
<bold>1.2 (1.1 - 1.3)</bold>
</td>
<td valign="bottom" align="center">
<bold>1.2 (1.1 - 1.3)</bold>
</td>
</tr>
<tr>
<td valign="top" align="center">&#x2003;Tertile 3</td>
<td valign="top" align="center">2559</td>
<td valign="bottom" align="center">18.6 (17.9 - 19.4)</td>
<td valign="bottom" align="center">
<bold>1.7 (1.6 - 1.8)</bold>
</td>
<td valign="bottom" align="center">
<bold>1.7 (1.6 - 1.8)</bold>
</td>
<td valign="bottom" align="center">
<bold>1.6 (1.5 - 1.7)</bold>
</td>
</tr>
<tr>
<th valign="top" colspan="6" align="left">CVD Event</th>
</tr>
<tr>
<td valign="top" align="center">&#x2003;BMI-RMSE (per 1 SD)</td>
<td valign="top" align="center">3900</td>
<td valign="top" align="center">10.2 (9.9 -10.6)</td>
<td valign="top" align="center">1.4 (1.3-1.5)</td>
<td valign="top" align="center">1.4 (1.3- 1.5)</td>
<td valign="top" align="center">1.3 (1.2-1.4)</td>
</tr>
<tr>
<th valign="top" colspan="6" align="left">BMI-RMSE Tertiles</th>
</tr>
<tr>
<td valign="top" align="center">&#x2003;Tertile 1</td>
<td valign="top" align="center">1222</td>
<td valign="top" align="center">9.5 (9.0 - 10.0)</td>
<td valign="top" align="center">1.0 (Reference)</td>
<td valign="top" align="center">1.0 (Reference)</td>
<td valign="top" align="center">1.0 (Reference)</td>
</tr>
<tr>
<td valign="top" align="center">&#x2003;Tertile 2</td>
<td valign="top" align="center">1265</td>
<td valign="top" align="center">10.0 (9.4 - 10.5)</td>
<td valign="top" align="center">
<bold>1.1 (1.0 - 1.2)</bold>
</td>
<td valign="top" align="center">1.1 (1.0 - 1.2)</td>
<td valign="bottom" align="center">1.1 (1.0 - 1.2)</td>
</tr>
<tr>
<td valign="top" align="center">&#x2003;Tertile 3</td>
<td valign="top" align="center">1413</td>
<td valign="top" align="center">11.3 (10.7 - 11.9)</td>
<td valign="top" align="center">
<bold>1.4 (1.2 - 1.5)</bold>
</td>
<td valign="top" align="center">
<bold>1.3 (1.2 - 1.4)</bold>
</td>
<td valign="bottom" align="center">
<bold>1.3 (1.2-1.4)</bold>
</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Model 1: age, sex.</p>
</fn>
<fn>
<p>Model 2: age, sex, education, smoking status, and family history of cardiovascular disease.</p>
</fn>
<fn>
<p>Model 3: age, sex, education, smoking status, family history of cardiovascular disease, baseline body mass index, fasting plasma glucose, total cholesterol, and systolic blood pressure.</p>
</fn>
<fn>
<p>BMI, body mass index; RMSE, root mean squared error; CVD, cardiovascular disease.</p>
<p>Bolded values were statistically significant (P &lt; .05). * IR Incidence rate per 1,000 person-years.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>In the preliminary analysis, we test the mediation to see how the relationships works between the variables. So, we investigated the association between BMI variability (independent variable) and mediators (FPG, TC, and SBP), as well as the association between these mediators and CVD and mortality (dependent variable). Using the linear mixed model, the estimated beta coefficients for BMI variability as exposure and FPG, TC, and SBP as outcomes were 14.1 (95% CI: 12.8-15.4), 0.6 (95% CI: -0.6-1.9), and 3.3 (95% CI: 2.7-3.9) per 1 SD increase in BMI variability, respectively (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). The highest BMI variability tertile was significantly associated with mean FPG and SBP with beta coefficients of 12.2 (95%CI: 11.1-13.2) and 3.1 (95%CI: 2.5-3.6), respectively. However, BMI variability was not associated with higher values of TC in the quantile approach (P value=0.2). We also performed independent risk calculations to evaluate the association of mean FPG, TC, and SBP (from first to fourth visits during the measurement period) with CVD and mortality outcomes (<xref ref-type="table" rid="T4">
<bold>Table&#xa0;4</bold>
</xref>). After adjusting for potential confounders, the risk of future CVD increased for each unit increase in the mean of FPG (HR: 1.2; 95%CI: 1.1-1.3), TC (HR: 1.1; 95%CI: 1.0-1.2), and SBP (HR: 1.2; 95%CI: 1.1-1.3). The HRs for the association between the mean of FPG, TC, and SBP measurements and mortality were 1.2 (95%CI: 1.1-1.3), 1.0 (95%CI: 0.99-1.1), and 1.2 (95%CI: 1.1-1.2), respectively.</p>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Association between BMI Variability (BMI-RMSE) and time-serial measures of cardiometabolic risk factors using linear mixed model.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" rowspan="2" align="center"/>
<th valign="top" colspan="2" align="center">Fasting plasma glucose</th>
<th valign="top" colspan="2" align="center">Total cholesterol</th>
<th valign="top" colspan="2" align="center">Systolic blood pressure</th>
</tr>
<tr>
<th valign="top" align="center">&#x3b2; (95% CI)</th>
<th valign="top" align="center">P value</th>
<th valign="top" align="center">&#x3b2; (95% CI)</th>
<th valign="top" align="center">P-value</th>
<th valign="top" align="center">&#x3b2; (95% CI)</th>
<th valign="top" align="center">P-value</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="center">
<bold>BMI-RMSE (per 1 SD)</bold>
</td>
<td valign="top" align="center">14.1 (12.8-15.4)</td>
<td valign="top" align="center">&lt;0.001</td>
<td valign="top" align="center">0.6 (-0.6 - 1.9)</td>
<td valign="top" align="center">0.33</td>
<td valign="top" align="center">3.3 (2.7 - 3.9)</td>
<td valign="top" align="center">0.001</td>
</tr>
<tr>
<th valign="top" colspan="7" align="left">BMI-RMSE Tertiles</th>
</tr>
<tr>
<td valign="top" align="center">Tertile 1</td>
<td valign="top" align="center">Reference</td>
<td valign="top" align="center"/>
<td valign="top" align="center">Reference</td>
<td valign="top" align="center"/>
<td valign="top" align="center">Reference</td>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="center">Tertile 2</td>
<td valign="top" align="center">3.7 (2.7 - 4.8)</td>
<td valign="top" align="center">&lt;0.001</td>
<td valign="top" align="center">1.1 (-0.03 - 2.2)</td>
<td valign="top" align="center">0.06</td>
<td valign="bottom" align="center">1.1 (0.5 - 1.7)</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="center">Tertile 3</td>
<td valign="top" align="center">12.2 (11.1 - 13.2)</td>
<td valign="top" align="center">&lt;0.001</td>
<td valign="top" align="center">0.7 (-0.4 - 1.9)</td>
<td valign="top" align="center">0.2</td>
<td valign="bottom" align="center">3.1 (2.5 - 3.6)</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Adjusted for age, sex, education, smoking status, family history of cardiovascular disease.</p>
</fn>
<fn>
<p>BMI, body mass index; RMSE, root mean squared error.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<table-wrap id="T4" position="float">
<label>Table&#xa0;4</label>
<caption>
<p>Associations between the mean values of cardiovascular risk factors during the measurement period and CVD event and all-cause mortality.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="center" rowspan="2"/>
<th valign="top" rowspan="2" align="center">Model 1<break/>HR (95% CI)</th>
<th valign="top" rowspan="2" align="center">Model 2<break/>HR (95% CI)</th>
<th valign="top" rowspan="2" align="center">Model 3<break/>HR (95% CI)</th>
</tr>
</thead>
<tbody>
<tr>
<th valign="top" colspan="4" align="left">All-Cause Mortality</th>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Mean fasting <break/>&#x2003;plasma glucose</td>
<td valign="top" align="center">
<bold>1.3 (1.2 - 1.4)</bold>
</td>
<td valign="top" align="center">
<bold>1.3 (1.2 - 1.4)</bold>
</td>
<td valign="top" align="center">
<bold>1.2 (1.2 - 1.3)</bold>
</td>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Mean systolic <break/>&#x2003;blood pressure</td>
<td valign="top" align="center">
<bold>1.2 (1.1 - 1.3)</bold>
</td>
<td valign="top" align="center">
<bold>1.2 (1.1 - 1.2)</bold>
</td>
<td valign="top" align="center">
<bold>1.2 (1.1 - 1.2)</bold>
</td>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Mean <break/>&#x2003;total <break/>&#x2003;cholesterol</td>
<td valign="top" align="center">1.0 (0.99 - 1.1)</td>
<td valign="top" align="center">1.0 (0.99 - 1.1)</td>
<td valign="top" align="center">1.0 (0.99 - 1.1)</td>
</tr>
<tr>
<th valign="top" colspan="4" align="left">CVD Event</th>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Mean fasting <break/>&#x2003;plasma glucose</td>
<td valign="top" align="center">
<bold>1.3 (1.2 - 1.4)</bold>
</td>
<td valign="top" align="center">
<bold>1.3 (1.2 - 1.4)</bold>
</td>
<td valign="top" align="center">
<bold>1.2 (1.1 - 1.3)</bold>
</td>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Mean systolic <break/>&#x2003;blood pressure</td>
<td valign="top" align="center">
<bold>1.3 (1.2 - 1.4)</bold>
</td>
<td valign="top" align="center">
<bold>1.3 (1.2 - 1.4)</bold>
</td>
<td valign="top" align="center">
<bold>1.2 (1.1 - 1.3)</bold>
</td>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Mean <break/>&#x2003;total <break/>&#x2003;cholesterol</td>
<td valign="top" align="center">
<bold>1.1 (1.0 - 1.2)</bold>
</td>
<td valign="top" align="center">
<bold>1.1 (1.0 - 1.2)</bold>
</td>
<td valign="top" align="center">
<bold>1.1 (1.0 - 1.2)</bold>
</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Model 1: age, sex.</p>
</fn>
<fn>
<p>Model 2: age, sex, education, smoking status, and family history of cardiovascular disease.</p>
</fn>
<fn>
<p>Model 3: age, sex, education, smoking status, family history of cardiovascular disease, baseline body mass index, fasting plasma glucose, total cholesterol, and systolic blood pressure.</p>
</fn>
<fn>
<p>CVD, cardiovascular disease.</p>
<p>Bolded values were statistically significant (P &lt; .05).</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The relationship between BMI variability and CVD and mortality was determined considering the mediating effects of the mean values of FPG, TC, and SBP using the four-way effect decomposition (<xref ref-type="table" rid="T5">
<bold>Table&#xa0;5</bold>
</xref>, <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>). After considering both the mediations and interactions, BMI variability was associated significantly with CVD (HR: 1.10, 95% CI: 1.05-1.14) and mortality (HR: 1.28, 95% CI: 1.24-1.33). For the outcome of mortality, when investigating FPG as a mediator, BMI variability was responsible for 92%, and FPG accounted for 8% of the total effect (P value&lt;0.001), while TC and SBP were not significant mediators in the relationship (P value=0.5). The HR of the direct effect of the BMI variability on CVD was 1.08 (95% CI: 1.03-1.12), explaining 75.7% of the overall effect. The indirect effect of BMI variability via FPG as the only significant mediator was 1.02 (95%CI: 1.02-1.03) indicating 24.3% of the relationship between BMI variability and future CVD.</p>
<table-wrap id="T5" position="float">
<label>Table&#xa0;5</label>
<caption>
<p>Mediation analysis of the association of BMI variability (RMSE) with CVD event and all-cause mortality.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="center"/>
<th valign="middle" align="center">BMI variability mediation with</th>
<th valign="middle" align="center">HR (95% CI)</th>
<th valign="middle" align="center">P-value</th>
<th valign="middle" align="center">Mediation (%)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" rowspan="12" align="left">
<bold>All-Cause Mortality</bold>
</td>
<td valign="top" align="left">
<bold>Mean fasting plasma glucose</bold>
</td>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Total Effect</td>
<td valign="bottom" align="center">1.28 (1.24 - 1.33)</td>
<td valign="top" align="center">&lt;0.001</td>
<td valign="top" align="center">100%</td>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Direct Effect</td>
<td valign="bottom" align="center">1.26 (1.22 - 1.31)</td>
<td valign="top" align="center">&lt;0.001</td>
<td valign="top" align="center">92%</td>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Indirect Effect</td>
<td valign="bottom" align="center">1.02 (1.00-1.03)</td>
<td valign="top" align="center">&lt;0.001</td>
<td valign="top" align="center">8%</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>Mean total cholesterol</bold>
</td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="left"/>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Total Effect</td>
<td valign="top" align="center">1.27 (1.23-1.31)</td>
<td valign="top" align="center">&lt;0.001</td>
<td valign="top" align="center">100%</td>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Direct Effect</td>
<td valign="top" align="center">1.26 (1.23-1.31)</td>
<td valign="top" align="center">&lt;0.001</td>
<td valign="top" align="center">99.8%</td>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Indirect Effect</td>
<td valign="bottom" align="center">1.00 (1.00-1.00)</td>
<td valign="bottom" align="center">0.5</td>
<td valign="bottom" align="center">0.2%</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>Mean systolic blood pressure</bold>
</td>
<td valign="top" align="center"/>
<td valign="bottom" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Total Effect</td>
<td valign="top" align="center">1.27 (1.23-1.31)</td>
<td valign="bottom" align="center">&lt;0.001</td>
<td valign="top" align="center">100%</td>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Direct Effect</td>
<td valign="top" align="center">1.27 (1.23-1.31)</td>
<td valign="top" align="center">&lt;0.001</td>
<td valign="top" align="center">99.6%</td>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Indirect Effect</td>
<td valign="bottom" align="center">1.00 (1.00-1.00)</td>
<td valign="top" align="center">0.5</td>
<td valign="bottom" align="center">0.4%</td>
</tr>
<tr>
<td valign="top" rowspan="12" align="left">
<bold>CVD Event</bold>
</td>
<td valign="top" align="left">
<bold>Mean fasting plasma glucose</bold>
</td>
<td valign="bottom" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Total Effect</td>
<td valign="bottom" align="center">1.10 (1.05-1.14)</td>
<td valign="top" align="center">&lt;0.001</td>
<td valign="top" align="center">100%</td>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Direct Effect</td>
<td valign="bottom" align="center">1.08 (1.03-1.12)</td>
<td valign="top" align="center">&lt;0.001</td>
<td valign="top" align="center">75.7%</td>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Indirect Effect</td>
<td valign="bottom" align="center">1.02 (1.02-1.03)</td>
<td valign="top" align="center">&lt;0.001</td>
<td valign="bottom" align="center">24.3%</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>Mean total cholesterol</bold>
</td>
<td valign="bottom" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Total Effect</td>
<td valign="top" align="center">1.10 (1.05-1.14)</td>
<td valign="top" align="center">&lt;0.001</td>
<td valign="top" align="center">100%</td>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Direct Effect</td>
<td valign="top" align="center">1.09 (1.06-1.15)</td>
<td valign="top" align="center">&lt;0.001</td>
<td valign="top" align="center">97.1%</td>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Indirect Effect</td>
<td valign="top" align="center">1.01(1.00-1.00)</td>
<td valign="top" align="center">0.2</td>
<td valign="top" align="center">2.9%</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>Mean systolic blood pressure</bold>
</td>
<td valign="bottom" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Total Effect</td>
<td valign="top" align="center">1.10 (1.06-1.14)</td>
<td valign="top" align="center">&lt;0.001</td>
<td valign="top" align="center">100%</td>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Direct Effect</td>
<td valign="top" align="center">1.10 (1.06-1.15)</td>
<td valign="top" align="center">&lt;0.001</td>
<td valign="top" align="center">99.9%</td>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Indirect Effect</td>
<td valign="top" align="center">1.00(1.00-1.00)</td>
<td valign="top" align="center">0.8</td>
<td valign="top" align="center">0.1%</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Adjusted for age, sex, education, smoking status, family history of cardiovascular disease.</p>
</fn>
<fn>
<p>CVD, cardiovascular disease.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Direct Acyclic Graph (DAG) for the contribution of systolic blood pressure, total cholesterol, and fasting plasma glucose to the association between BMI variability and CVD and mortality. CVD, cardiovascular disease; BMI, body mass index; SBP, systolic blood pressure; TC, total cholesterol; FPG, fasting plasma glucose; DE, direct effect; IE, indirect effect. * Significant association to the outcome.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-15-1345781-g002.tif"/>
</fig>
</sec>
<sec id="s4" sec-type="discussion">
<title>Discussion</title>
<p>This pooled analysis of cohort studies investigated the association between BMI variability and CVD and mortality over two decades. After adjusting for potential confounders, highest compared to the lowest BMI variability tertile was associated with a 30% and 60% increased risk of CVD and mortality, respectively. There was no significant difference in this association based on sex, obesity, smoking status, presence of diabetes, or hypertension. Subsequently, the mediating and interaction effects of the three important cardiometabolic factors, including FPG, SBP, and TC, were explored. We estimated that FPG mediated 24% of the excess risk for CVD and 8% of the excess risk for mortality. On the other hand, SBP and TC were not significant mediators in the association of BMI variability with CVD and mortality.</p>
<p>There is an ongoing controversy surrounding the impact of weight variability on CVD and mortality, especially among different subgroups. Several studies have suggested a link between weight fluctuation and a higher likelihood of future CVD and mortality (<xref ref-type="bibr" rid="B17">17</xref>), while others have not found any association (<xref ref-type="bibr" rid="B26">26</xref>, <xref ref-type="bibr" rid="B27">27</xref>). Additionally, contrary findings have also emerged, suggesting that weight fluctuation could provide protection against CVD (<xref ref-type="bibr" rid="B14">14</xref>, <xref ref-type="bibr" rid="B18">18</xref>). The underlying pathophysiology in the relationship between weight variability and CVD and mortality is not yet understood. Weight variability may be an indicator of underlying metabolic dysfunction (e.g., insulin resistance and inflammation) (<xref ref-type="bibr" rid="B28">28</xref>&#x2013;<xref ref-type="bibr" rid="B30">30</xref>). It is also suggested that high variations in weight may lead to loss of muscle mass and an increase in fat mass (<xref ref-type="bibr" rid="B31">31</xref>, <xref ref-type="bibr" rid="B32">32</xref>), increasing the risk of chronic diseases such as CVD.</p>
<p>Our findings suggested that high BMI variability was associated with an increased risk of future CVD and mortality, and this association was not significantly different among subpopulations (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Tables 1</bold>
</xref>, <xref ref-type="supplementary-material" rid="SM1">
<bold>2</bold>
</xref>), which is consistent with the latest report by Zou et&#xa0;al. (<xref ref-type="bibr" rid="B17">17</xref>). However, it is noteworthy that high BMI fluctuation did not significantly increase the risk of future CVD in obese participants, while it increased the risk of all-cause mortality. BMI variability was associated with CVD and mortality in participants with and without diabetes.</p>
<p>In the current study, we determined the direct effect of BMI variability on CVD and mortality and quantified how much of the effect is mediated through FPG, SBP, and TC. Using a linear mixed model, after adjusting for confounders, we found a significant relationship between BMI variability and the time-serial values of FPG, TC, and SBP. Recent animal studies support our findings by demonstrating the adverse impact of weight cycling on glucose, insulin, and inflammatory markers&#x2019; levels (<xref ref-type="bibr" rid="B29">29</xref>, <xref ref-type="bibr" rid="B33">33</xref>, <xref ref-type="bibr" rid="B34">34</xref>). Weight variability is suggested to contribute to adipocyte enlargement and an increase in lipogenic enzymes, myristic acid, palmitic acid, palmitoleic acid, and stearic acid, resulting in glucose metabolism impairment (<xref ref-type="bibr" rid="B35">35</xref>, <xref ref-type="bibr" rid="B36">36</xref>). Previous studies have found an independent association between high weight variability and incident diabetes (<xref ref-type="bibr" rid="B37">37</xref>&#x2013;<xref ref-type="bibr" rid="B39">39</xref>), although only a few prospective studies have examined the correlation of BMI variability with the slope and alterations in cardiovascular risk factors using multiple linear regression (<xref ref-type="bibr" rid="B19">19</xref>, <xref ref-type="bibr" rid="B20">20</xref>, <xref ref-type="bibr" rid="B40">40</xref>). These studies suggested that BMI variability was associated with HbA1C levels but not SBP or TC. Notably, the impact of BMI variability on FPG was not explored. The discrepancy in the results regarding the association of BMI variability with TC and SBP may stem from differences in BMI variability calculation methods, study populations, analytical approaches, and follow-up duration. Our study, in contrast to previous ones, consisted of a large sample size.</p>
<p>The results of the mediation analysis revealed that 24% of the excess risk of BMI variability for CVD and 8% for mortality was mediated by FPG, while TC and SBP did not demonstrate significant mediation effects. A pooled cohort analysis conducted by the global burden of diseases reported that more than 44% of the excess risk of high baseline BMI (being overweight or obese) was mediated through FPG, TC, and SBP (<xref ref-type="bibr" rid="B41">41</xref>). Our study is the first to analyze the mediation effect of these risk factors in the association of BMI variability and adverse health outcomes. The non-significant mediation effect of TC and SBP in our study may be due to their weaker association with BMI variability compared to FPG (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). These findings provide new insight into understanding the complex relationship between BMI variability, major cardiovascular risk factors, and CVD and mortality.</p>
<p>In the current study, for the first time, the direct and indirect effect of BMI variability on CVD and mortality was investigated in a pooled cohort analysis of three large longitudinal population-based studies with long follow-ups. Many studies resort to simple statistical methods to measure BMI variability, overlooking the non-linear nature of BMI trend and mistakenly perceiving it as fluctuation (<xref ref-type="bibr" rid="B24">24</xref>). To address this, we employed the RMSE within a random coefficient model to differentiate between true non-linear changes in BMI and BMI fluctuation. There are also some limitations in this study. Our study included the BMI measurements taken in the clinic and the BMI measurements were not self-reported although it is noteworthy that the measurements in the clinic are done with unified standard protocols. We did not assess whether the participants had intentions of losing or gaining weight. However, the primary goal was that unintentional weight loss may have been an indicator of underlying diseases. Also, our findings solely pertained to BMI variability and lacked information regarding alterations in fat mass, muscle mass, and change in body composition. Future research should prioritize lifelong maintenance of body weight and reduction of sporadic weight fluctuations, especially in the context of primary cardiac prevention. This approach can help in sustaining healthy weight levels and minimizing associated health risks.</p>
<p>In conclusion, BMI variability is an independent predictor for incident CVD and mortality and there is no significant difference in this association across subpopulations. FPG mediates 24% and 8% of excess risk of BMI variability for the development of CVD and mortality, respectively; however, SBP and TC are not significant mediators in this association. These findings present new potential implications for preventing CVD and mortality in individuals with high BMI variability. Modern cardiometabolic interventions focusing on glycemic monitoring and management might help reduce the risk of future CVD and mortality during frequent weight loss attempts.</p>
</sec>
<sec id="s5" sec-type="data-availability">
<title>Data availability statement</title>
<p>The data analyzed in this study is subject to the following licenses/restrictions: Datasets generated during and/or analyzed during the current study are not publicly available due to institutional policies but are available from the corresponding author on reasonable request. Requests to access these datasets should be directed to <uri xlink:href="amouzegar@endocrine.ac.ir.">amouzegar@endocrine.ac.ir.</uri>
</p>
</sec>
<sec id="s6" sec-type="ethics-statement">
<title>Ethics statement</title>
<p>The studies involving humans were approved by the National Research Council of the Islamic Republic of Iran (IR.SBMU.ENDOCRINE.REC.1402.060), the Human Research Review Committee of the Endocrine Research Center, Shahid Beheshti University of Medical Sciences, Tehran, Iran. The studies were conducted in accordance with the local legislation and institutional requirements. The 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>LM: Conceptualization, Methodology, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing. MH: Conceptualization, Data curation, Formal Analysis, Investigation, Methodology, Visualization, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing. SM: Data curation, Formal Analysis, Methodology, Visualization, Writing &#x2013; original draft. DK: Methodology, Writing &#x2013; review &amp; editing. FA: Supervision, Writing &#x2013; review &amp; editing. MB: Supervision, Writing &#x2013; review &amp; editing. AA: Project administration, Writing &#x2013; review &amp; editing.</p>
</sec>
</body>
<back>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research, authorship, and/or publication of this article. This study was supported in part by Grant No 43003978-4 from Shahid Beheshti University of Medical Sciences.</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>This study was carried out using the ARIC and MESA Research Materials obtained from the NHLBI; BioLINCC Research Materials Distribution Agreement (RMDA) V02 1d20120806. We would like to extend our thanks to the staff and coordinators of BioLINC and the other investigators, the staff, and the participants of the ARIC study and MESA for their valuable contributions. The authors would like to thank the participants and executive team of the TLGS for their passionate cooperation.</p>
</ack>
<sec id="s9" 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="s10" 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>
<sec id="s11" sec-type="supplementary-material">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fendo.2024.1345781/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fendo.2024.1345781/full#supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="Table_1.docx" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document"/>
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