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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.2025.1637373</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>Correlation between log<sub>e</sub> GDR and hyperuricemia in patients with type 2 diabetes mellitus: a cross-sectional study</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Liu</surname>
<given-names>Pei</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
</contrib>
<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Ji</surname>
<given-names>Baolan</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/funding-acquisition/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Peng</surname>
<given-names>Yan</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/3080706/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/resources/"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>School of Clinical Medicine, Shandong Second Medical University</institution>, <addr-line>Weifang, Shandong</addr-line>,&#xa0;<country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Endocrinology, Linyi People&#x2019;s Hospital Affiliated to Shandong Second Medical University</institution>, <addr-line>Linyi, Shandong</addr-line>,&#xa0;<country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1573251/overview">Serafino Fazio</ext-link>, Federico II University Hospital, Italy</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1951076/overview">Fabrizio Salvucci</ext-link>, Istituto di Medicina Biologica (ImBio), Italy</p>
<p>Antonio Cutruzzol&#xe0;, Magna Gr&#xe6;cia University of Catanzaro, Italy</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Yan Peng, <email xlink:href="mailto:13665399146@163.com">13665399146@163.com</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>01</day>
<month>10</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>16</volume>
<elocation-id>1637373</elocation-id>
<history>
<date date-type="received">
<day>29</day>
<month>05</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>10</day>
<month>09</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Liu, Ji and Peng.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Liu, Ji and Peng</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>Introduction</title>
<p>Hyperuricemia (HUA), an important health concern, is closely associated with insulin sensitivity. The natural log transformation of the glucose disposal rate (log<sub>e</sub> GDR) is a new model of insulin sensitivity in patients with type 2 diabetes mellitus (T2DM). The association between HUA and insulin resistance has been demonstrated by other insulin resistance indices. However, the correlation between log<sub>e</sub> GDR and HUA has not been explored. This study explored the interaction between log<sub>e</sub> GDR and HUA in patients with T2DM.</p>
</sec>
<sec>
<title>Methods</title>
<p>This study involved 2,352 patients with T2DM. Biochemical and clinical data were collected. Morning blood samples were collected after an overnight fast for serum uric acid measurement. All the parameters required for log<sub>e</sub> GDR calculation, including triglycerides, &#x3b3;-glutamyl transferase, urinary albumin-to-creatinine ratio, and body mass index, were also collected. The correlation between the log<sub>e</sub> GDR and HUA was analyzed.</p>
</sec>
<sec>
<title>Results</title>
<p>Patients with HUA had lower log<sub>e</sub> GDR values than those without (P&lt; 0.001). HUA prevalence decreased significantly with increasing log<sub>e</sub> GDR quartiles (P&lt; 0.001). Multivariable regression analysis revealed that log<sub>e</sub> GDR was independently associated with HUA (odds ratio: 0.279, 95% confidence interval: 0.170&#x2013;0.459). Log<sub>e</sub> GDR&#x2019;s area under the receiver operating characteristic curve (0.706, 95%CI = 0.664-0.747) was superior to other indices.</p>
</sec>
<sec>
<title>Discussion</title>
<p>Log<sub>e</sub> GDR correlates strongly with HUA and demonstrates significant HUA predictive value in patients with T2DM.</p>
</sec>
</abstract>
<kwd-group>
<kwd>type 2 diabetes mellitus</kwd>
<kwd>hyperuricemia</kwd>
<kwd>insulin sensitivity</kwd>
<kwd>loge GDR</kwd>
<kwd>insulin resistance</kwd>
</kwd-group>
<counts>
<fig-count count="1"/>
<table-count count="5"/>
<equation-count count="0"/>
<ref-count count="42"/>
<page-count count="10"/>
<word-count count="5916"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Clinical Diabetes</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>Uric acid is synthesized mainly in the liver, intestines, and vascular endothelium as the end product of an exogenous pool of purines, and endogenously from damaged, dying, and dead cells, whereby nucleic acids, adenine, and guanine are degraded into uric acid (<xref ref-type="bibr" rid="B1">1</xref>). Hyperuricemia (HUA), a metabolic syndrome (MetS) caused by disrupted purine metabolism (<xref ref-type="bibr" rid="B2">2</xref>), is characterized by a uric acid level of &gt;420 &#xb5;mol/L in men and &gt;360 &#xb5;mol/L in women (<xref ref-type="bibr" rid="B3">3</xref>). HUA is also an independent risk factor for the development of obesity, chronic kidney disease, hypertension, type 2 diabetes, dyslipidemia, coronary heart disease, and stroke (<xref ref-type="bibr" rid="B4">4</xref>). Numerous studies have shown that insulin resistance (IR) has a close physiological and pathological association with HUA (<xref ref-type="bibr" rid="B5">5</xref>). IR may contribute to HUA (<xref ref-type="bibr" rid="B6">6</xref>), and reducing IR may reduce serum uric acid (SUA) levels and the risk of gout (<xref ref-type="bibr" rid="B7">7</xref>, <xref ref-type="bibr" rid="B8">8</xref>). HUA can interfere with insulin signaling and decrease endothelial nitric oxide availability (<xref ref-type="bibr" rid="B9">9</xref>), which is considered the primary factor that couples endothelial dysfunction with IR (<xref ref-type="bibr" rid="B10">10</xref>). An animal experimental study in Japan found that insulin can promote uric acid reabsorption through urate transporter 1 and ATP-binding cassette subfamily G member 2 (<xref ref-type="bibr" rid="B11">11</xref>). Furthermore, HUA and insulin sensitivity are associated with MetS. People with MetS may experience HUA because of IR, fatty liver, and dyslipidemia (<xref ref-type="bibr" rid="B12">12</xref>, <xref ref-type="bibr" rid="B13">13</xref>).</p>
<p>However, IR is clinically challenging to identify. Because of its high cost and technical complexity, the hyperinsulinemic euglycemic clamp, which is considered the gold standard for IR identification (<xref ref-type="bibr" rid="B14">14</xref>), is not routinely employed in clinical practice. Therefore, many alternative IR indicators based on anthropometric and biochemical parameters have been proposed. Ciardullo et&#xa0;al. recently proposed the natural log transformation of the glucose disposal rate (log<sub>e</sub> GDR) as an innovative model of IS prediction in individuals with type 2 diabetes mellitus (T2DM). Log<sub>e</sub> GDR includes common clinical parameters: triglycerides (TG), urinary albumin-to-creatinine ratio (UACR), &#x3b3;-glutamyl transferase (GGT), and body mass index (BMI), which reflect lipid metabolism, renal function, hepatic function, and body weight-related metabolic risk. They are critical components of HUA pathogenesis and key biomarkers of MetS. MetS and IR are closely associated with HUA. Therefore, as a comprehensive surrogate IS index, we hypothesize that log<sub>e</sub> GDR may be strongly associated with HUA. Moreover, no studies have confirmed the association between log<sub>e</sub> GDR and HUA. So this study explored the interaction between log<sub>e</sub> GDR and HUA in patients with T2DM. This study aimed to evaluate whether loge GDR is independently associated with hyperuricemia in patients with T2DM and to compare its predictive performance with other insulin resistance indices.</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<label>2</label>
<title>Materials and methods</title>
<p>Our study involved inpatients with T2DM (age: 18&#x2013;87 years) at the Department of Endocrinology, Linyi People&#x2019;s Hospital, from January 2020 to March 2023. Exclusion criteria: (1) incomplete basic clinical data or unclear medical history and (2) comorbidities, including severe infections involving other systems, malignancy, or major organ failure. The HUA group had 336 cases (uric acid: &gt;420 and &gt;360 &#xb5;mol/L in men and women, respectively), and the non-HUA group had 2016 cases.</p>
<p>Moreover, our analysis included other commonly used indicators of IR indices as covariates, including homeostatic model assessment of insulin resistance (HOMA-IR), triglyceride glucose index (TyG index), triglyceride glucose-body mass index (TyG-BMI), triglyceride/high-density cholesterol-lipoprotein ratio (TG/HDL-c ratio), triglyceride-glucose and gamma-glutamyl transferase (TYG-GGT), triglyceride-glucose-alanine aminotransferase (TyG&#x2013;ALT), the single-point insulin sensitivity estimator (SPISE), metabolic score for IR (METS-IR), improved triglyceride glucose index (TyGIS), and estimated glucose disposal rate (eGDR<sub>BMI</sub>). This is because literature indicates a strong positive connection between the other commonly used indicators of IR and HUA among adults. Consequently, we incorporated these markers into our analysis.</p>
<sec id="s2_1">
<label>2.1</label>
<title>Anthropometric and biochemical measurements</title>
<p>We recorded patient demographics and clinical characteristics, including age, sex, duration of diabetes, height, weight, smoking habit, and alcohol consumption. Blood pressure was measured in duplicate using a validated electronic sphygmomanometer (recording systolic and diastolic blood pressure [SBP/DBP]) after resting in a seated position for &#x2265;5 min in a quiet, temperature-controlled environment. Fasting blood samples were collected in the morning and analyzed for TG, total cholesterol (TC), high-density lipoprotein-cholesterol (HDL-c), low-density lipoprotein-cholesterol (LDL-c), aspartate aminotransferase (AST), alanine aminotransferase (ALT), GGT, fasting blood glucose (FBG), glycosylated hemoglobin (HbA1c, high-performance liquid chromatography), uric acid, and hemoglobin (Hb) using a biochemical autoanalyzer (Cobas c 702, Roche, Germany). UACR was measured using an autoanalyzer (Beckman Coulter AU5821). Fasting serum insulin (FINS) was measured using direct chemiluminescence on a fully automated system (Aptio Automation, Siemens, USA). Bioelectrical impedance analysis (Omron DUALSCAN HDS-2000, Kyoto, Japan) was used to assess visceral fat area (VFA) and subcutaneous fat area (SFA).</p>
<list list-type="order">
<list-item>
<p>Parameter calculations <inline-formula>
<mml:math display="inline" id="im1">
<mml:mrow>
<mml:mtext>BMI</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>weight&#xa0;(kg)</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mtext>height&#xa0;(m)</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="bibr" rid="B15">15</xref>).</p>
</list-item>
<list-item>
<p>
<inline-formula>
<mml:math display="inline" id="im2">
<mml:mrow>
<mml:mtext>TyG&#xa0;index</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mi>ln</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">[</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mtext>TG&#xa0;(mg/dL)</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>FBG&#xa0;(mg/dL)</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:mfrac>
</mml:mrow>
<mml:mo stretchy="false">]</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="bibr" rid="B16">16</xref>).</p>
</list-item>
<list-item>
<p>
<inline-formula>
<mml:math display="inline" id="im3">
<mml:mrow>
<mml:mtext>TyG-BMI</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mtext>TyG</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>BMI</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="bibr" rid="B17">17</xref>).</p>
</list-item>
<list-item>
<p>
<inline-formula>
<mml:math display="inline" id="im4">
<mml:mrow>
<mml:mtext>TyG-GGT</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mtext>TyG</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>GGT</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="bibr" rid="B18">18</xref>).</p>
</list-item>
<list-item>
<p>
<inline-formula>
<mml:math display="inline" id="im5">
<mml:mrow>
<mml:mtext>TyG&#x2013;ALT&#xa0;index</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mi>ln</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mtext>fasting&#xa0;TG&#xa0;[mg/dL]</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>fasting&#xa0;glucose&#xa0;[mg/dL]</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>ALT&#xa0;[IU/L]</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:mfrac>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="bibr" rid="B19">19</xref>).</p>
</list-item>
<list-item>
<p>
<inline-formula>
<mml:math display="inline" id="im6">
<mml:mrow>
<mml:mtext>TG/HDL-c&#xa0;ratio</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>TG&#xa0;(mmol/L)</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>HDL-c&#xa0;(mmol/L)</mml:mtext>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="bibr" rid="B20">20</xref>).</p>
</list-item>
<list-item>
<p>
<inline-formula>
<mml:math display="inline" id="im7">
<mml:mrow>
<mml:mtext>HOMA-IR</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>FBG&#xa0;(mmol/L)</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>FINS&#xa0;(mIU/L)</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mn>22.5</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="bibr" rid="B21">21</xref>).</p>
</list-item>
<list-item>
<p>
<inline-formula>
<mml:math display="inline" id="im8">
<mml:mrow>
<mml:mtext>SPISE&#xa0;index</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>600</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mtext>HDL-c&#xa0;[mg/dL]</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mn>0.185</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mtext>TG&#xa0;[mg/dL]</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mn>0.2</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo>&#xd7;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mtext>BMI&#xa0;[kg/m</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:msup>
<mml:mo>]</mml:mo>
<mml:mrow>
<mml:mn>1.338</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="bibr" rid="B22">22</xref>).</p>
</list-item>
<list-item>
<p>
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<mml:mtd>
<mml:mi>E</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>A</mml:mi>
<mml:mo>=</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.4670326</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>B</mml:mi>
<mml:mo>=</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.1219702</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>C</mml:mi>
<mml:mo>=</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.0226746</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>D</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>0.2214735</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>E</mml:mi>
<mml:mo>=</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>9.7092789</mml:mn>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
</inline-formula> <inline-formula>
<mml:math display="inline" id="im10">
<mml:mrow>
<mml:mtext>LBM</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mn>0.296</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>weight&#xa0;(kg)</mml:mtext>
<mml:mo>+</mml:mo>
<mml:mn>41.813</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>height&#xa0;(m)</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>43.293</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="bibr" rid="B23">23</xref>).</p>
</list-item>
<list-item>
<p>
<inline-formula>
<mml:math display="inline" id="im11">
<mml:mrow>
<mml:mtext>METS-IR</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>ln</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">[</mml:mo>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>FPG&#xa0;(mg/dL)</mml:mtext>
<mml:mo>+</mml:mo>
<mml:mtext>TG&#xa0;(mg/dL)</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">]</mml:mo>
</mml:mrow>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>BMI</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>ln</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">[</mml:mo>
<mml:mrow>
<mml:mtext>HDL-c&#xa0;(mg/dL)</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">]</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="bibr" rid="B24">24</xref>).</p>
</list-item>
<list-item>
<p>
<inline-formula>
<mml:math display="inline" id="im12">
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mi>G</mml:mi>
<mml:mi>F</mml:mi>
<mml:mi>R</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>175</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>Scr</mml:mtext>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mtext>mg</mml:mtext>
<mml:mo stretchy="false">/</mml:mo>
<mml:mtext>dL</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1.234</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo>&#xd7;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mtext>age</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.179</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mo>{</mml:mo>
<mml:mrow>
<mml:mtable columnalign="left">
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mrow>
<mml:mn>0.79</mml:mn>
</mml:mrow>
</mml:mtd>
<mml:mtd columnalign="left">
<mml:mrow>
<mml:mtext>female</mml:mtext>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mrow>
<mml:mn>1.00</mml:mn>
</mml:mrow>
</mml:mtd>
<mml:mtd columnalign="left">
<mml:mrow>
<mml:mtext>man</mml:mtext>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="bibr" rid="B25">25</xref>).</p>
</list-item>
<list-item>
<p>
<inline-formula>
<mml:math display="inline" id="im13">
<mml:mtable>
<mml:mtr>
<mml:mtd>
<mml:msub>
<mml:mrow>
<mml:mi>log</mml:mi>
</mml:mrow>
<mml:mi>e</mml:mi>
</mml:msub>
<mml:mtext>GDR</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mn>5.3505</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.3697</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>log</mml:mi>
</mml:mrow>
<mml:mi>e</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mtext>GGT,&#xa0;IU/L</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.2591</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>log</mml:mi>
</mml:mrow>
<mml:mi>e</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mtext>TG,&#xa0;mg/dL</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mn>0.1169</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>log</mml:mi>
</mml:mrow>
<mml:mi>e</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mrow>
<mml:mtext>(UACR,&#xa0;mg/g</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>0.0279</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mtext>BMI,&#xa0;kg/m</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
</inline-formula> (<xref ref-type="bibr" rid="B26">26</xref>).</p>
</list-item>
<list-item>
<p>
<inline-formula>
<mml:math display="inline" id="im14">
<mml:mrow>
<mml:mtext>eGDRBMI</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mn>19.02</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>0.22</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>BMI</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>3.26</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>HT</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>0.61</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>HbA</mml:mtext>
<mml:mn>1</mml:mn>
<mml:mtext>c</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>BMI&#xa0;</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mtext>&#xa0;body</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula> <inline-formula>
<mml:math display="inline" id="im15">
<mml:mtable>
<mml:mtr>
<mml:mtd>
<mml:mtext>mass&#xa0;index&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mtext>kg</mml:mtext>
<mml:mo stretchy="false">/</mml:mo>
<mml:mtext>m</mml:mtext>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;HT&#xa0;</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mtext>&#xa0;hypertension&#xa0;</mml:mtext>
</mml:mtd>
</mml:mtr> 
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mtext>yes&#xa0;</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mn>1</mml:mn>
<mml:mo stretchy="false">/</mml:mo>
<mml:mtext>no&#xa0;</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mn>0</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>,</mml:mo>
<mml:mtext>and&#xa0;HbA</mml:mtext>
<mml:mn>1</mml:mn>
<mml:mtext>c&#xa0;</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mtext>&#xa0;HbA</mml:mtext>
<mml:mn>1</mml:mn>
<mml:mtext>c&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mo>%</mml:mo>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mtd>
</mml:mtr> 
</mml:mtable>
</mml:math>
</inline-formula> (<xref ref-type="bibr" rid="B27">27</xref>).</p>
</list-item>
</list>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Statistical analyses</title>
<p>Statistical analyses were conducted using SPSS version 26.0 (SPSS Inc., Chicago, IL, USA). Normally distributed continuous variables, non-normally distributed data, and categorical variables were presented as mean &#xb1; standard deviation (SD), median (interquartile range), and frequencies (%). Differences between two groups of normally or non-normally distributed data were compared using independent sample t-tests or Mann&#x2013;Whitney U tests, respectively. Differences between four or more groups were compared using one-way analysis of variance (ANOVA) for normally distributed data or Kruskal&#x2013;Wallis tests for non-normally distributed data, with <italic>post-hoc</italic> multiple comparisons being performed using Student&#x2013;Newman&#x2013;Keuls tests where applicable. Chi-square tests were used for all categorical variable comparisons. Logistic regression analysis was used to assess independent HUA correlates. Receiver operating characteristic (ROC) curve analysis was used to evaluate the ability of log<sub>e</sub> GDR to predict HUA. All statistical tests were two-tailed, with p&lt; 0.05 indicating statistically significant differences.</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results</title>
<sec id="s3_1">
<label>3.1</label>
<title>Baseline clinical and biochemical characteristics</title>
<p>The patients&#x2019; clinical and biochemical profiles are presented in <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>. This study enrolled 2,352 patients (mean age: 57.3 &#xb1; 13.2 years). Sex was not significantly different between the two groups (men: 41.3% vs. 41.1%, p &gt; 0.05). Compared with the non-HUA group (n=2,016), age, HDL-c, eGFR, Hb, SPISE, TyGIS, eGDR<sub>BMI,</sub> and log<sub>e</sub> GDR were significantly lower in the HUA group (n=336), but BMI, VFA, SFA, TG, FBG, FINS, ALT, AST, GGT, UACR, TyG index, TyG-BMI, TyG-GGT, TyG-ALT, TG/HDL-c ratio, HOMA-IR, and METS-IR were significantly higher (all p&lt; 0.05). Smoking (%), drinking (%), SBP, DBP, TC, LDL-C, duration of diabetes, and HbA1c levels were not significantly different between the two groups (all p &gt; 0.05).</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Clinical and biochemical characteristics by presence of HUA.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Variables</th>
<th valign="middle" align="center">All</th>
<th valign="middle" align="center">Non-HUA</th>
<th valign="middle" align="center">HUA group;</th>
<th valign="middle" align="center">P value</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">Number</td>
<td valign="middle" align="center">2352</td>
<td valign="middle" align="center">2016</td>
<td valign="middle" align="center">336</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">Sex (male, n, %)</td>
<td valign="middle" align="center">971 (41.3%)</td>
<td valign="middle" align="center">833 (41.3%)</td>
<td valign="middle" align="center">138 (41.1%)</td>
<td valign="middle" align="center">0.932</td>
</tr>
<tr>
<td valign="middle" align="center">Smoking (n, %)</td>
<td valign="middle" align="center">372(15.8%)</td>
<td valign="middle" align="center">313 (15.5%)</td>
<td valign="middle" align="center">59 (17.6%)</td>
<td valign="middle" align="center">0.348</td>
</tr>
<tr>
<td valign="middle" align="center">Drinking (n, %)</td>
<td valign="middle" align="center">319(13.6%)</td>
<td valign="middle" align="center">270 (13.4%)</td>
<td valign="middle" align="center">49 (14.6%)</td>
<td valign="middle" align="center">0.560</td>
</tr>
<tr>
<td valign="middle" align="center">Age (years)</td>
<td valign="middle" align="center">57.3 &#xb1; 13.2</td>
<td valign="middle" align="center">58.0 &#xb1; 12.3</td>
<td valign="middle" align="center">53.3 &#xb1; 16.8</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">Duration of diabetes (years)</td>
<td valign="middle" align="center">8.7(2.0-13.0)</td>
<td valign="middle" align="center">8.6(2.0-13.0)</td>
<td valign="middle" align="center">9.2(2.0-15.0)</td>
<td valign="middle" align="center">0.099</td>
</tr>
<tr>
<td valign="middle" align="center">BMI (kg/m2)</td>
<td valign="middle" align="center">25.39 &#xb1; 3.88</td>
<td valign="middle" align="center">25.17 &#xb1; 3.71</td>
<td valign="middle" align="center">26.73 &#xb1; 4.59</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">VFA (cm2)</td>
<td valign="middle" align="center">92.00 (63.25-119.00)</td>
<td valign="middle" align="center">90.45(63.00-117.00)</td>
<td valign="middle" align="center">102.28(71.50-131.00)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">SFA (cm2)</td>
<td valign="middle" align="center">186.98 (138.00-228.00)</td>
<td valign="middle" align="center">183.08(136.00-223.00)</td>
<td valign="middle" align="center">212.85 (56.00-262.50)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">SBP (mmHg)</td>
<td valign="middle" align="center">129.73 &#xb1; 19.21</td>
<td valign="middle" align="center">129.69 &#xb1; 19.17</td>
<td valign="middle" align="center">130.00 &#xb1; 19.48</td>
<td valign="middle" align="center">0.782</td>
</tr>
<tr>
<td valign="middle" align="center">DBP (mmHg)</td>
<td valign="middle" align="center">80.30 &#xb1; 11.74</td>
<td valign="middle" align="center">80.27 &#xb1; 11.48</td>
<td valign="middle" align="center">80.48 &#xb1; 13.24</td>
<td valign="middle" align="center">0.789</td>
</tr>
<tr>
<td valign="middle" align="center">TC (mmol/L)</td>
<td valign="middle" align="center">4.85 &#xb1; 1.32</td>
<td valign="middle" align="center">4.84 &#xb1; 1.28</td>
<td valign="middle" align="center">4.90 &#xb1; 1.49</td>
<td valign="middle" align="center">0.500</td>
</tr>
<tr>
<td valign="middle" align="center">LDL-c (mmol/L)</td>
<td valign="middle" align="center">3.04 &#xb1; 1.10</td>
<td valign="middle" align="center">3.05 &#xb1; 1.07</td>
<td valign="middle" align="center">3.00 &#xb1; 1.28</td>
<td valign="middle" align="center">0.534</td>
</tr>
<tr>
<td valign="middle" align="center">TG (mmol/l)</td>
<td valign="middle" align="center">1.91 (0.99-2.09)</td>
<td valign="middle" align="center">1.83(0.94-1.98)</td>
<td valign="middle" align="center">2.35(1.29-2.77)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">HDL-c (mmol/L)</td>
<td valign="middle" align="center">1.18 &#xb1; 0.35</td>
<td valign="middle" align="center">1.20 &#xb1; 0.35</td>
<td valign="middle" align="center">1.07 &#xb1; 0.32</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">FBG (mmol/L)</td>
<td valign="middle" align="center">9.18 &#xb1; 4.02</td>
<td valign="middle" align="center">9.08 &#xb1; 3.87</td>
<td valign="middle" align="center">9.78 &#xb1; 4.81</td>
<td valign="middle" align="center">0.011</td>
</tr>
<tr>
<td valign="middle" align="center">FINS (&#x3bc;U/mL)</td>
<td valign="middle" align="center">19.91 (10.37-22.81)</td>
<td valign="middle" align="center">19.54(10.30 &#xb1; 22.34)</td>
<td valign="middle" align="center">22.25 (10.86-27.37)</td>
<td valign="middle" align="center">0.009</td>
</tr>
<tr>
<td valign="middle" align="center">HbA1c (%)</td>
<td valign="middle" align="center">9.41 &#xb1; 2.28</td>
<td valign="middle" align="center">9.45 &#xb1; 2.26</td>
<td valign="middle" align="center">9.21 &#xb1; 2.39</td>
<td valign="middle" align="center">0.090</td>
</tr>
<tr>
<td valign="middle" align="center">ALT (U/L)</td>
<td valign="middle" align="center">23.89 (12.88-26.33)</td>
<td valign="middle" align="center">22.84(13.00-26.05)</td>
<td valign="middle" align="center">30.17 (12.00-30.60)</td>
<td valign="middle" align="center">0.005</td>
</tr>
<tr>
<td valign="middle" align="center">AST (U/L)</td>
<td valign="middle" align="center">21.33 (14.00-22.70)</td>
<td valign="middle" align="center">20.57(14.00-22.10)</td>
<td valign="middle" align="center">25.88 (14.00-28.38)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">GGT (U/L)</td>
<td valign="middle" align="center">31.19 (15.00-32.00)</td>
<td valign="middle" align="center">30.23(15.00-30.00)</td>
<td valign="middle" align="center">39.96(17.00-41.98)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">eGFR (mL/min/1.73 m<sup>2</sup>)</td>
<td valign="middle" align="center">119.33 &#xb1; 37.16</td>
<td valign="middle" align="center">123.26 &#xb1; 34.36</td>
<td valign="middle" align="center">95.53 &#xb1; 44.02</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">UACR (mg/g)</td>
<td valign="middle" align="center">219.91 (6.10-46.78)</td>
<td valign="middle" align="center">179.78(6.10-35.68)</td>
<td valign="middle" align="center">460.74 (6.80-190.75)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">Hb (g/L)</td>
<td valign="middle" align="center">138.86 &#xb1; 18.81</td>
<td valign="middle" align="center">139.47 &#xb1; 18.36</td>
<td valign="middle" align="center">135.21 &#xb1; 20.97</td>
<td valign="middle" align="center">0.001</td>
</tr>
<tr>
<td valign="middle" align="center">TyG index</td>
<td valign="middle" align="center">9.22 &#xb1; 0.80</td>
<td valign="middle" align="center">9.17 &#xb1; 0.79</td>
<td valign="middle" align="center">9.51 &#xb1; 0.81</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">TyG-BMI</td>
<td valign="middle" align="center">234.89 &#xb1; 46.07</td>
<td valign="middle" align="center">231.50 &#xb1; 43.66</td>
<td valign="middle" align="center">255.03 &#xb1; 54.33</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">TYG-GGT</td>
<td valign="middle" align="center">279.81(135.33-305.26)</td>
<td valign="middle" align="center">266.76(132.02-290.11)</td>
<td valign="middle" align="center">357.71 (153.56-411.69)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">TyG&#x2013;ALT</td>
<td valign="middle" align="center">12.16 &#xb1; 1.09</td>
<td valign="middle" align="center">12.09 &#xb1; 1.05</td>
<td valign="middle" align="center">12.53 &#xb1; 1.24</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">TG/HDL-c ratio</td>
<td valign="middle" align="center">1.84 (0.78-2.03)</td>
<td valign="middle" align="center">1.71(0.74-1.89)</td>
<td valign="middle" align="center">2.62 (1.10-2.84)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">HOMA-IR</td>
<td valign="middle" align="center">7.55 (3.43-9.71)</td>
<td valign="middle" align="center">7.31(3.40-9.43)</td>
<td valign="middle" align="center">9.09 (3.69-11.52)</td>
<td valign="middle" align="center">0.045</td>
</tr>
<tr>
<td valign="middle" align="center">SPISE</td>
<td valign="middle" align="center">6.36 &#xb1; 1.87</td>
<td valign="middle" align="center">6.49 &#xb1; 1.83</td>
<td valign="middle" align="center">5.62 &#xb1; 1.90</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">TyGIS</td>
<td valign="middle" align="center">4.64 &#xb1; 2.00</td>
<td valign="middle" align="center">4.75 &#xb1; 1.90</td>
<td valign="middle" align="center">3.95 &#xb1; 2.47</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">METS-IR</td>
<td valign="middle" align="center">41.57 &#xb1; 8.93</td>
<td valign="middle" align="center">40.84 &#xb1; 8.36</td>
<td valign="middle" align="center">45.92 &#xb1; 10.76</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">Log<sub>e</sub> GDR</td>
<td valign="middle" align="center">1.86 &#xb1; 0.43</td>
<td valign="middle" align="center">1.90 &#xb1; 0.42</td>
<td valign="middle" align="center">1.60 &#xb1; 0.45</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">eGDR<sub>BMI</sub>
</td>
<td valign="middle" align="center">1.86 &#xb1; 0.43</td>
<td valign="middle" align="center">6.65 &#xb1; 2.13</td>
<td valign="middle" align="center">6.21 &#xb1; 2.09</td>
<td valign="middle" align="center">0.001</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Normally distributed variables were expressed as mean &#xb1; standard deviation (SD), and intergroup comparisons were conducted using independent two-sample t-tests. Abnormally distributed variables were presented as median (25th percentile~75th percentile), and comparisons between the two groups were made using the Mann&#x2013;Whitney U test. Categorical variables were reported as percentages (%) and were compared by chi-square test. A two-sided P-value&lt; 0.05 was considered statistically significant.</p>
</fn>
<fn>
<p>BMI, body mass index; VFA, visceral fat area; SFA, subcutaneous fat area; SBP, systolic blood pressure; DBP, diastolic blood pressure; TC, total cholesterol; LDL-c, low-density lipoprotein cholesterol; TG, triglyceride; HDL-c, high-density lipoprotein cholesterol; FBG, fasting blood glucose; FINS, fasting serum insulin; ALT, alanine aminotransferase; AST, aspartate aminotransferase; GGT, gamma-glutamyl transferase; eGFR, estimated glomerular filtration rate; UACR, urinary albumin to creatinine ratio; Hb, hemoglobin; TyG&#x2013;ALT, triglyceride&#x2013;glucose&#x2013;alanine aminotransferase index; HOMA-IR, homeostatic model assessment of insulin resistance; SPISE, the single point insulin sensitivity estimator; TyGIS, improved triglyceride glucose index; METS-IR, metabolic score for IR; log<sub>e</sub> GDR, a natural log transformation of the glucose disposal rate; eGDR<sub>BMI</sub>, estimated glucose disposal rate.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Participants were stratified into four groups based on log<sub>e</sub> GDR quartiles (Q1&#x2013;Q4; <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). The levels of HDL-c, eGFR, SPISE, and eGDR<sub>BMI</sub> increased with increasing log<sub>e</sub> GDR quartiles (all p&lt; 0.001), whereas sex (male, %), smoking (%), drinking (%), age, BMI, VFA, SFA, SBP, DBP, TC, LDL-c, TG, FBG, FINS, HbA1c, ALT, AST, GGT, uric acid, UACR, Hb, TyG index, TyG-BMI, TyG-GGT, TyG-ALT, TG/HDL-c ratio, HOMA-IR, TyGIS, METS-IR, and HUA decreased significantly (all p&lt; 0.001). The duration of diabetes did not differ between the four groups (p = 0.073).We further analyzed the relationship between the incidence of HUA and quartile groups of log<sub>e</sub> GDR (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). The results demonstrated a significant inverse trend, with HUA incidence showing a progressive decline across increasing quartiles of log<sub>e</sub> GDR (P for trend&lt;0.001).</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Baseline characteristics across quartiles of Log<sub>e</sub> GDR.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Variables</th>
<th valign="middle" align="center">Q1 (0.25-1.58)</th>
<th valign="middle" align="center">Q2 (1.59-1.89)</th>
<th valign="middle" align="center">Q3 (1.90-2.16)</th>
<th valign="middle" align="center">Q4 (2.17-3.12)</th>
<th valign="middle" align="center">P value</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">Number</td>
<td valign="middle" align="center">578</td>
<td valign="middle" align="center">596</td>
<td valign="middle" align="center">578</td>
<td valign="middle" align="center">600</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">Sex (male, n, %)</td>
<td valign="middle" align="center">320(55.4%)</td>
<td valign="middle" align="center">244(40.9%)</td>
<td valign="middle" align="center">207(35.8%)</td>
<td valign="middle" align="center">200(33.3%)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">Smoking (n, %)</td>
<td valign="middle" align="center">134(23.2%)</td>
<td valign="middle" align="center">100(16.8%)</td>
<td valign="middle" align="center">79(13.7%)</td>
<td valign="middle" align="center">59(9.8%)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">Drinking (n, %)</td>
<td valign="middle" align="center">124(21.5%)</td>
<td valign="middle" align="center">84(14.1%)</td>
<td valign="middle" align="center">56(9.7%)</td>
<td valign="middle" align="center">55(9.2%)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">Age (years)</td>
<td valign="middle" align="center">53.90 &#xb1; 14.4</td>
<td valign="middle" align="center">58.6 &#xb1; 12.8<sup>a</sup>
</td>
<td valign="middle" align="center">59.1 &#xb1; 12.1<sup>a</sup>
</td>
<td valign="middle" align="center">57.5 &#xb1; 12.6<sup>a</sup>
</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">Duration of diabetes (years)</td>
<td valign="middle" align="center">8.5(2.0 - 14.0)</td>
<td valign="middle" align="center">9.3(3.0 - 14.0)</td>
<td valign="middle" align="center">8.2(2.0 - 12.0)</td>
<td valign="middle" align="center">8.9(3.0 - 13.0)</td>
<td valign="middle" align="center">0.073</td>
</tr>
<tr>
<td valign="middle" align="center">BMI (kg/m2)</td>
<td valign="middle" align="center">27.70 &#xb1; 4.28</td>
<td valign="middle" align="center">26.05 &#xb1; 3.58<sup>a</sup>
</td>
<td valign="middle" align="center">24.86 &#xb1; 2.98<sup>ab</sup>
</td>
<td valign="middle" align="center">23.03 &#xb1; 2.96<sup>abc</sup>
</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">VFA (cm2)</td>
<td valign="middle" align="center">118.06 (90.00 - 147.25)</td>
<td valign="middle" align="center">100.67(76.00 - 124.00)<sup>a</sup>
</td>
<td valign="middle" align="center">86.35(64.00 - 109.00)<sup>ab</sup>
</td>
<td valign="middle" align="center">64.99(44.00 - 86.00)<sup>abc</sup>
</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">SFA (cm2)</td>
<td valign="middle" align="center">224.95(170.00 - 271.25)</td>
<td valign="middle" align="center">200.93(156.00 - 235.00)<sup>a</sup>
</td>
<td valign="middle" align="center">177.89(138.00 - 214.50)<sup>ab</sup>
</td>
<td valign="middle" align="center">147.22(108.00 - 184.00)<sup>abc</sup>
</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">SBP (mmHg)</td>
<td valign="middle" align="center">134.90 &#xb1; 20.11</td>
<td valign="middle" align="center">131.47 &#xb1; 19.27<sup>a</sup>
</td>
<td valign="middle" align="center">128.70 &#xb1; 17.64<sup>ab</sup>
</td>
<td valign="middle" align="center">124.03 &#xb1; 18.09<sup>abc</sup>
</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">DBP (mmHg)</td>
<td valign="middle" align="center">84.17 &#xb1; 12.60</td>
<td valign="middle" align="center">80.91 &#xb1; 11.80<sup>a</sup>
</td>
<td valign="middle" align="center">79.61 &#xb1; 10.57<sup>a</sup>
</td>
<td valign="middle" align="center">76.64 &#xb1; 10.68<sup>abc</sup>
</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">TC (mmol/L)</td>
<td valign="middle" align="center">5.19 &#xb1; 1.55</td>
<td valign="middle" align="center">4.99 &#xb1; 1.34<sup>a</sup>
</td>
<td valign="middle" align="center">4.76 &#xb1; 1.15<sup>ab</sup>
</td>
<td valign="middle" align="center">4.44 &#xb1; 1.06<sup>abc</sup>
</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">LDL-c (mmol/L)</td>
<td valign="middle" align="center">3.13 &#xb1; 1.18</td>
<td valign="middle" align="center">3.19 &#xb1; 1.16</td>
<td valign="middle" align="center">3.06 &#xb1; 0.98</td>
<td valign="middle" align="center">2.80 &#xb1; 1.06<sup>abc</sup>
</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">TG (mmol/l)</td>
<td valign="middle" align="center">3.34(1.56 - 3.61)</td>
<td valign="middle" align="center">1.92(1.25 - 2.38)<sup>a</sup>
</td>
<td valign="middle" align="center">1.42(1.04 - 1.66)<sup>ab</sup>
</td>
<td valign="middle" align="center">0.98(0.69 - 1.20)<sup>abc</sup>
</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">HDL-c (mmol/L)</td>
<td valign="middle" align="center">1.05 &#xb1; 0.36</td>
<td valign="middle" align="center">1.14 &#xb1; 0.31<sup>a</sup>
</td>
<td valign="middle" align="center">1.21 &#xb1; 0.32<sup>ab</sup>
</td>
<td valign="middle" align="center">1.33 &#xb1; 0.36<sup>abc</sup>
</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">FBG (mmol/L)</td>
<td valign="middle" align="center">9.85 &#xb1; 3.79</td>
<td valign="middle" align="center">9.72 &#xb1; 4.54</td>
<td valign="middle" align="center">9.02 &#xb1; 3.57<sup>ab</sup>
</td>
<td valign="middle" align="center">8.16 &#xb1; 3.89<sup>abc</sup>
</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">FINS (&#x3bc;U/mL)</td>
<td valign="middle" align="center">20.61(12.43 - 23.95)</td>
<td valign="middle" align="center">20.85(12.65 - 23.64)</td>
<td valign="middle" align="center">19.30(9.64 - 22.10)</td>
<td valign="middle" align="center">18.95(6.23 - 20.76)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">HbA1c (%)</td>
<td valign="middle" align="center">9.59 &#xb1; 2.13</td>
<td valign="middle" align="center">9.60 &#xb1; 2.25</td>
<td valign="middle" align="center">9.46 &#xb1; 2.31</td>
<td valign="middle" align="center">9.01 &#xb1; 2.39<sup>abc</sup>
</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">ALT (U/L)</td>
<td valign="middle" align="center">35.23(15.50 - 44.25)</td>
<td valign="middle" align="center">23.10(13.30 - 26.75)<sup>a</sup>
</td>
<td valign="middle" align="center">20.17(12.50 - 23.80)<sup>ab</sup>
</td>
<td valign="middle" align="center">17.54(11.30 - 20.58)<sup>abc</sup>
</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">AST (U/L)</td>
<td valign="middle" align="center">28.51(15.68 - 32.85)</td>
<td valign="middle" align="center">20.41(14.20 - 21.88)<sup>a</sup>
</td>
<td valign="middle" align="center">19.05(13.48 - 20.40)<sup>a</sup>
</td>
<td valign="middle" align="center">17.56(13.00 - 20.00)<sup>a</sup>
</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">GGT (U/L)</td>
<td valign="middle" align="center">61.76(27.00 - 63.58)</td>
<td valign="middle" align="center">28.40(19.00 - 33.00)<sup>a</sup>
</td>
<td valign="middle" align="center">20.67(16.00 - 24.00)<sup>ab</sup>
</td>
<td valign="middle" align="center">14.66(11.00 - 17.00)<sup>abc</sup>
</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">UA (&#xb5;mol/L)</td>
<td valign="middle" align="center">346.74 &#xb1; 106.03</td>
<td valign="middle" align="center">296.72 &#xb1; 91.05<sup>a</sup>
</td>
<td valign="middle" align="center">268.58 &#xb1; 86.73<sup>ab</sup>
</td>
<td valign="middle" align="center">249.91 &#xb1; 87.58<sup>abc</sup>
</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">eGFR (mL/min/1.73 m<sup>2</sup>)</td>
<td valign="middle" align="center">110.75 &#xb1; 43.01</td>
<td valign="middle" align="center">115.16 &#xb1; 40.14<sup>a</sup>
</td>
<td valign="middle" align="center">122.70 &#xb1; 32.11<sup>ab</sup>
</td>
<td valign="middle" align="center">127.85 &#xb1; 29.80<sup>abc</sup>
</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">UACR (mg/g)</td>
<td valign="middle" align="center">637.80(12.45 - 456.35)</td>
<td valign="middle" align="center">188.04(7.70 - 69.23)<sup>a</sup>
</td>
<td valign="middle" align="center">48.88(6.10 - 23.63)<sup>ab</sup>
</td>
<td valign="middle" align="center">13.77(4.20 - 11.10)<sup>ab</sup>
</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">Hb (g/L)</td>
<td valign="middle" align="center">140.80 &#xb1; 21.72</td>
<td valign="middle" align="center">138.20 &#xb1; 19.72</td>
<td valign="middle" align="center">140.21 &#xb1; 16.58</td>
<td valign="middle" align="center">136.34 &#xb1; 16.50</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">HUA (n, %)</td>
<td valign="middle" align="center">160(27.7%)</td>
<td valign="middle" align="center">92(15.4%)<sup>a</sup>
</td>
<td valign="middle" align="center">53(9.2%)<sup>ab</sup>
</td>
<td valign="middle" align="center">31(5.2%)<sup>abc</sup>
</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">TyG index</td>
<td valign="middle" align="center">9.79 &#xb1; 0.84</td>
<td valign="middle" align="center">9.40 &#xb1; 0.68<sup>a</sup>
</td>
<td valign="middle" align="center">9.08 &#xb1; 0.56<sup>ab</sup>
</td>
<td valign="middle" align="center">8.60 &#xb1; 0.57<sup>abc</sup>
</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">TyG-BMI</td>
<td valign="middle" align="center">271.75 &#xb1; 50.35</td>
<td valign="middle" align="center">245.21 &#xb1; 37.76<sup>a</sup>
</td>
<td valign="middle" align="center">225.60 &#xb1; 28.51<sup>ab</sup>
</td>
<td valign="middle" align="center">198.07 &#xb1; 28.84<sup>abc</sup>
</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">TYG-GGT</td>
<td valign="middle" align="center">551.09(265.80 - 626.01)</td>
<td valign="middle" align="center">264.15(179.06 - 318.21)<sup>a</sup>
</td>
<td valign="middle" align="center">186.93(143.11 - 218.83)<sup>ab</sup>
</td>
<td valign="middle" align="center">125.72(95.65 - 45.31)<sup>abc</sup>
</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">TyG&#x2013;ALT</td>
<td valign="middle" align="center">13.07 &#xb1; 1.16</td>
<td valign="middle" align="center">12.36 &#xb1; 0.86<sup>a</sup>
</td>
<td valign="middle" align="center">11.93 &#xb1; 0.75<sup>ab</sup>
</td>
<td valign="middle" align="center">11.32 &#xb1; 0.74<sup>abc</sup>
</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">TG/HDL-c ratio</td>
<td valign="middle" align="center">3.45(1.47 - 3.83)</td>
<td valign="middle" align="center">1.87(1.07 - 2.29)<sup>a</sup>
</td>
<td valign="middle" align="center">1.29(0.81 - 1.50)<sup>ab</sup>
</td>
<td valign="middle" align="center">0.80(0.49 - 0.98)<sup>abc</sup>
</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">HOMA-IR</td>
<td valign="middle" align="center">8.82(4.73 - 11.40)</td>
<td valign="middle" align="center">8.47(4.43 - 10.27)</td>
<td valign="middle" align="center">6.87(3.24 - 9.31)</td>
<td valign="middle" align="center">6.17(2.05 - 7.20)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">SPISE</td>
<td valign="middle" align="center">5.00 &#xb1; 1.44</td>
<td valign="middle" align="center">5.84 &#xb1; 1.41<sup>a</sup>
</td>
<td valign="middle" align="center">6.55 &#xb1; 1.32<sup>ab</sup>
</td>
<td valign="middle" align="center">8.02 &#xb1; 1.77<sup>abc</sup>
</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">TyGIS</td>
<td valign="middle" align="center">3.93 &#xb1; 1.80</td>
<td valign="middle" align="center">4.18 &#xb1; 1.96</td>
<td valign="middle" align="center">4.83 &#xb1; 1.81<sup>ab</sup>
</td>
<td valign="middle" align="center">5.53 &#xb1; 2.03<sup>abc</sup>
</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">METS-IR</td>
<td valign="middle" align="center">48.63 &#xb1; 10.03</td>
<td valign="middle" align="center">43.31 &#xb1; 7.32<sup>a</sup>
</td>
<td valign="middle" align="center">39.74 &#xb1; 5.86<sup>ab</sup>
</td>
<td valign="middle" align="center">34.82 &#xb1; 5.45<sup>abc</sup>
</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">eGDR<sub>BMI</sub>
</td>
<td valign="middle" align="center">1.27 &#xb1; 0.26</td>
<td valign="middle" align="center">1.75 &#xb1; 0.09</td>
<td valign="middle" align="center">2.03 &#xb1; 0.08</td>
<td valign="middle" align="center">2.37 &#xb1; 0.16</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Normally distributed variables were expressed as mean &#xb1; standard deviation (SD), and intergroup comparisons were conducted using one-way analysis of variance (ANOVA). Abnormally distributed variables were presented as median (25th percentile~75thpercentile), and we compared the four groups using the Kruskal&#x2013;Wallis test. <italic>Post hoc</italic> multiple comparisons were performed using the Student&#x2013;Newman&#x2013;Keuls (SNK) test for pairwise group comparisons. Categorical variables were reported as percentages (n, %), with group differences assessed by chi-square test. A two-tailed P-value&lt; 0.05 was considered statistically significant. <sup>a</sup> P&lt;0.05 versus Q1;<sup>b</sup> P&lt;0.05 Q3&amp;#x3001;Q4 versus Q2;<sup>c</sup> P&lt;0.05 Q4 versus Q3.</p>
</fn>
<fn>
<p>BMI, body mass index; VFA, visceral fat area; SFA, subcutaneous fat area; SBP, systolic blood pressure; DBP, diastolic blood pressure; TC, total cholesterol; LDL-c, low-density lipoprotein cholesterol; TG, triglyceride; HDL-c, high-density lipoprotein cholesterol; FBG, fasting blood glucose; FINS, fasting serum insulin; ALT, alanine aminotransferase; AST, aspartate aminotransferase; GGT, gamma-glutamyl transferase; UA, uric acid; eGFR, estimated glomerular filtration rate; UACR, urinary albumin to creatinine ratio; Hb, hemoglobin; TyG&#x2013;ALT, triglyceride&#x2013;glucose&#x2013;alanine aminotransferase index; HOMA-IR, homeostatic model assessment of insulin resistance; SPISE, the single point insulin sensitivity estimator; TyGIS, improved triglyceride glucose index; METS-IR, metabolic score for IR, eGDR<sub>BMI</sub>, estimated glucose disposal rate.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Hyperuricemia incidence (%) across Loge GDR quartiles (Q1:&lt;1.59; Q2: 1.59&#x2013;1.90; Q3: 1.90&#x2013;2.17; Q4: &#x2265;2.17). Trend test: P&lt;0.001.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-16-1637373-g001.tif">
<alt-text content-type="machine-generated">Line graph titled &#x201c;HUA Incidence (%) Across Loge GDR Quartiles (Q1&#x2013;Q4)&#x201d; shows a decreasing trend. The HUA incidence is 47.60% in Q1, 27.40% in Q2, 15.80% in Q3, and 9.20% in Q4. The x-axis represents loge GDR quartile groups, and the y-axis shows HUA incidence percentages.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Univariate regression analysis</title>
<p>Univariate logistic regression analysis was used to identify factors that may be associated with HUA (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). This analysis revealed that BMI, VFA, SFA, TG, FBG, AST, ALT, GGT, UACR, TyG index, TyG-BMI, TyG-GGT, TyG-ALT, TG/HDL-c ratio, HOMA-IR, and METS-IR correlated positively with HUA, whereas age, HDL-c, eGFR, Hb, SPISE, TyGIS, eGDR<sub>BMI</sub>, and log<sub>e</sub> GDR were negatively correlated (all p&lt; 0.05). Sex (male, %), smoking (%), drinking (%), duration of diabetes, SBP, DBP, TC, LDL-c, FINS, and HbAIc did not correlate with HUA (all p &gt; 0.05).</p>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Univariate regression analysis for HUA.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Variables</th>
<th valign="middle" align="center">OR (95% CI)</th>
<th valign="middle" align="center">P value</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">Sex (male)</td>
<td valign="middle" align="center">1.010(0.799-1.278)</td>
<td valign="middle" align="center">0.932</td>
</tr>
<tr>
<td valign="middle" align="center">Smoking</td>
<td valign="middle" align="center">1.158(0.853-1.552)</td>
<td valign="middle" align="center">0.348</td>
</tr>
<tr>
<td valign="middle" align="center">Drinking</td>
<td valign="middle" align="center">1.103(0.794-1.532)</td>
<td valign="middle" align="center">0.560</td>
</tr>
<tr>
<td valign="middle" align="center">Age</td>
<td valign="middle" align="center">0.974(0.966-0.983)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">Duration of diabetes</td>
<td valign="middle" align="center">1.011(0.994-1.028)</td>
<td valign="middle" align="center">0.194</td>
</tr>
<tr>
<td valign="middle" align="center">BMI (kg/m2)</td>
<td valign="middle" align="center">1.102(1.071-1.134)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">VFA (cm2)</td>
<td valign="middle" align="center">1.102(1.071-1.134)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">SFA (cm2)</td>
<td valign="middle" align="center">1.005(1.004-1.007)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">SBP (mmHg)</td>
<td valign="middle" align="center">1.001(0.995-1.007)</td>
<td valign="middle" align="center">0.782</td>
</tr>
<tr>
<td valign="middle" align="center">DBP (mmHg)</td>
<td valign="middle" align="center">1.001(0.992-1.011)</td>
<td valign="middle" align="center">0.767</td>
</tr>
<tr>
<td valign="middle" align="center">TC (mmol/L)</td>
<td valign="middle" align="center">1.034(0.948-1.128)</td>
<td valign="middle" align="center">0.452</td>
</tr>
<tr>
<td valign="middle" align="center">LDL-c (mmol/L)</td>
<td valign="middle" align="center">0.962(0.865-1.070)</td>
<td valign="middle" align="center">0.479</td>
</tr>
<tr>
<td valign="middle" align="center">TG (mmol/l)</td>
<td valign="middle" align="center">1.042(1.008-1.079)</td>
<td valign="middle" align="center">0.017</td>
</tr>
<tr>
<td valign="middle" align="center">HDL-c (mmol/L)</td>
<td valign="middle" align="center">0.238(0.157-0.361)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">FBG (mmol/L)</td>
<td valign="middle" align="center">1.039(1.013-1.067)</td>
<td valign="middle" align="center">0.003</td>
</tr>
<tr>
<td valign="middle" align="center">FINS (&#x3bc;U/mL)</td>
<td valign="middle" align="center">1.003(0.998-1.008)</td>
<td valign="middle" align="center">0.207</td>
</tr>
<tr>
<td valign="middle" align="center">HbA1c (%)</td>
<td valign="middle" align="center">0.955(0.906-1.007)</td>
<td valign="middle" align="center">0.091</td>
</tr>
<tr>
<td valign="middle" align="center">ALT (U/L)</td>
<td valign="middle" align="center">1.010(1.006-1.014)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">AST (U/L)</td>
<td valign="middle" align="center">1.015(1.009-1.021)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">GGT (U/L)</td>
<td valign="middle" align="center">1.002(1.000-1.004)</td>
<td valign="middle" align="center">0.022</td>
</tr>
<tr>
<td valign="middle" align="center">eGFR (mL/min/1.73 m<sup>2</sup>)</td>
<td valign="middle" align="center">0.976(0.972-0.980)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">UACR (mg/g)</td>
<td valign="middle" align="center">1.000(1.000-1.000)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">Hb (g/L)</td>
<td valign="middle" align="center">0.988(0.983-0.994)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">TyG index</td>
<td valign="middle" align="center">1.673(1.454-1.926)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">TyG-BMI</td>
<td valign="middle" align="center">1.010(1.008-1.013)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">TYG-GGT</td>
<td valign="middle" align="center">1.001(1.000-1.001)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">TyG&#x2013;ALT</td>
<td valign="middle" align="center">1.421(1.282-1.576)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">TG/HDL-c ratio</td>
<td valign="middle" align="center">1.120(1.076-1.166)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">HOMA-IR</td>
<td valign="middle" align="center">1.039(1.017-1.061)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">SPISE</td>
<td valign="middle" align="center">0.744(0.690-0.802)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">TyGIS</td>
<td valign="middle" align="center">0.844(0.788-0.904)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">METS-IR</td>
<td valign="middle" align="center">1.060(1.047-1.074)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">Log<sub>e</sub> GDR</td>
<td valign="middle" align="center">0.215(0.164-0.282)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">eGDR<sub>BMI</sub>
</td>
<td valign="middle" align="center">0.909(0.860-0.961)</td>
<td valign="middle" align="center">0.001</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>A univariate regression analysis was conducted to identify the factors associated with hyperuricemia.</p>
</fn>
<fn>
<p>BMI, body mass index; VFA, visceral fat area; SFA, subcutaneous fat area; SBP, systolic blood pressure; DBP, diastolic blood pressure; TC, total cholesterol; LDL-c, low-density lipoprotein cholesterol; TG, triglyceride; HDL-c, high-density lipoprotein cholesterol; FBG, fasting blood glucose; FINS, fasting serum insulin; ALT, alanine aminotransferase; AST, aspartate aminotransferase; GGT, gamma-glutamyl transferase; eGFR, estimated glomerular filtration rate; UACR, urinary albumin to creatinine ratio; Hb, hemoglobin; TyG&#x2013;ALT, triglyceride&#x2013;glucose&#x2013;alanine aminotransferase index; HOMA-IR, homeostatic model assessment of insulin resistance; SPISE, the single point insulin sensitivity estimator; TyGIS, improved triglyceride glucose index; METS-IR, metabolic score for IR; log<sub>e</sub> GDR, a natural log transformation of the glucose disposal rate, eGDR<sub>BMI</sub>, estimated glucose disposal rate.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Multivariable regression analysis</title>
<p>Multivariable regression analysis of independent association between age, BMI, VFA, SFA, TG, HDL-c, FBG, FINS, ALT, AST, GGT, eGFR, UACR, Hb, TyG index, TyG-BMI, TYG-GGT, TyG-ALT, TG/HDL-c ratio, HOMA-IR, SPISE, TyGIS, METS-IR, eGDR<sub>BMI</sub>, and log<sub>e</sub> GDR revealed that log<sub>e</sub> GDR (odds ratio [OR]: 0.279, 95% confidence interval [CI]: 0.170&#x2013;0.459), age (OR: 0.946, 95% CI: 0.930&#x2013;0.963), AST (OR: 1.013, 95% CI: 1.002&#x2013;1.023), UACR (OR: 1.000, 95% CI: 1.000&#x2013;1.000), Hb (OR: 0.981, 95% CI: 0.970&#x2013;0.992), and eGFR (OR: 0.971, 95% CI: 0.964&#x2013;0.979) were independently associated with HUA (<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>The independent variables for HUA.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Variables</th>
<th valign="middle" align="center">B</th>
<th valign="middle" align="center">SE</th>
<th valign="middle" align="center">Wald</th>
<th valign="middle" align="center">P</th>
<th valign="middle" align="center">OR</th>
<th valign="middle" align="center">95.0% CI for OR</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">Age</td>
<td valign="middle" align="center">&#x2212;0.055</td>
<td valign="middle" align="center">0.009</td>
<td valign="middle" align="center">39.612</td>
<td valign="middle" align="center">&lt;0.001</td>
<td valign="middle" align="center">0.946</td>
<td valign="middle" align="center">0.930 - 0.963</td>
</tr>
<tr>
<td valign="middle" align="center">AST</td>
<td valign="middle" align="center">0.012</td>
<td valign="middle" align="center">0.005</td>
<td valign="middle" align="center">5.870</td>
<td valign="middle" align="center">0.015</td>
<td valign="middle" align="center">1.013</td>
<td valign="middle" align="center">1.002 - 1.023</td>
</tr>
<tr>
<td valign="middle" align="center">eGFR</td>
<td valign="middle" align="center">&#x2212;0.029</td>
<td valign="middle" align="center">0.004</td>
<td valign="middle" align="center">55.882</td>
<td valign="middle" align="center">&lt;0.001</td>
<td valign="middle" align="center">0.971</td>
<td valign="middle" align="center">0.964 - 0.979</td>
</tr>
<tr>
<td valign="middle" align="center">UACR</td>
<td valign="middle" align="center">0.000</td>
<td valign="middle" align="center">0.000</td>
<td valign="middle" align="center">4.547</td>
<td valign="middle" align="center">0.033</td>
<td valign="middle" align="center">1.000</td>
<td valign="middle" align="center">1.000 - 1.000</td>
</tr>
<tr>
<td valign="middle" align="center">Hb</td>
<td valign="middle" align="center">&#x2212;0.019</td>
<td valign="middle" align="center">0.006</td>
<td valign="middle" align="center">10.781</td>
<td valign="middle" align="center">0.001</td>
<td valign="middle" align="center">0.981</td>
<td valign="middle" align="center">0.970 - 0.992</td>
</tr>
<tr>
<td valign="middle" align="center">Log<sub>e</sub> GDR</td>
<td valign="middle" align="center">&#x2212;1.276</td>
<td valign="middle" align="center">0.254</td>
<td valign="middle" align="center">26.332</td>
<td valign="middle" align="center">&lt;0.001</td>
<td valign="middle" align="center">0.279</td>
<td valign="middle" align="center">0.170 - 0.459</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>The independent variables for hyperuricemia was assessed by logistic regression analysis.</p>
</fn>
<fn>
<p>AST, aspartate aminotransferase; eGFR, estimated glomerular filtration rate; UACR, urinary albumin to creatinine ratio; Hb, hemoglobin; Log<sub>e</sub> GDR, a natural log transformation of the glucose disposal rate; CI, confidence interval; OR, odd ratio; SE, standard error.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3_4">
<label>3.4</label>
<title>Area under the ROC curve analysis</title>
<p>A comparison of the predictive performance of log<sub>e</sub> GDR with its components (BMI, GGT, UACR, and TG), the aforementioned IR indices (TG/HDL-c ratio, TyG index, TyG-GGT, TyG-BMI, TyG-ALT, HOMA-IR, SPISE, TyGIS, METS-IR, and eGDR<sub>BMI</sub>), HUA-related common markers (TC, HDL-c, and LDL-c), and regression model variables (age, AST, eGFR, and Hb) revealed that Log<sub>e</sub> GDR had a superior predictive ability (AUC&#xa0;=&#xa0;0.706, <xref ref-type="table" rid="T5">
<bold>Table&#xa0;5</bold>
</xref>). Furthermore, we performed pairwise comparisons of the areas under the ROC curves using the paired-sample design feature in ROC analysis within SPSS version 26. Differential ROC analysis showed that log<sub>e</sub> GDR was higher than the TG/HDL-c ratio, TG, SPISE, METS-IR, TyG index, TyG-BMI, HDL-c, TyG-ALT, TyG-GGT, UACR, GGT, BMI, TyGIS, age, AST, Hb, HOMA-IR, TC, LDL-c, and eGDR<sub>BMI</sub> (all p&lt; 0.05). However, the difference between log<sub>e</sub> GDR and eGFR was not significant (p = 0.936).</p>
<table-wrap id="T5" position="float">
<label>Table&#xa0;5</label>
<caption>
<p>Analysis of the areas under the ROC curves for predicting HUA.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Variables</th>
<th valign="middle" align="center">AUC</th>
<th valign="middle" align="center">SE</th>
<th valign="middle" align="center">95.0% CI</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">eGFR</td>
<td valign="middle" align="center">0.708</td>
<td valign="middle" align="center">0.024</td>
<td valign="middle" align="center">0.664 - 0.755</td>
</tr>
<tr>
<td valign="middle" align="center">Log<sub>e</sub> GDR</td>
<td valign="middle" align="center">0.706</td>
<td valign="middle" align="center">0.021</td>
<td valign="middle" align="center">0.664 - 0.747</td>
</tr>
<tr>
<td valign="middle" align="center">TG/HDL-c ratio</td>
<td valign="middle" align="center">0.667</td>
<td valign="middle" align="center">0.022</td>
<td valign="middle" align="center">0.624 - 0.710</td>
</tr>
<tr>
<td valign="middle" align="center">TG</td>
<td valign="middle" align="center">0.659</td>
<td valign="middle" align="center">0.022</td>
<td valign="middle" align="center">0.616 - 0.701</td>
</tr>
<tr>
<td valign="middle" align="center">SPISE</td>
<td valign="middle" align="center">0.644</td>
<td valign="middle" align="center">0.024</td>
<td valign="middle" align="center">0.592 - 0.691</td>
</tr>
<tr>
<td valign="middle" align="center">METS-IR</td>
<td valign="middle" align="center">0.632</td>
<td valign="middle" align="center">0.024</td>
<td valign="middle" align="center">0.585 - 0.680</td>
</tr>
<tr>
<td valign="middle" align="center">TyG index</td>
<td valign="middle" align="center">0.631</td>
<td valign="middle" align="center">0.022</td>
<td valign="middle" align="center">0.588 - 0.674</td>
</tr>
<tr>
<td valign="middle" align="center">TyG-BMI</td>
<td valign="middle" align="center">0.629</td>
<td valign="middle" align="center">0.024</td>
<td valign="middle" align="center">0.581 - 0.676</td>
</tr>
<tr>
<td valign="middle" align="center">HDL-c</td>
<td valign="middle" align="center">0.618</td>
<td valign="middle" align="center">0.022</td>
<td valign="middle" align="center">0.574 - 0.662</td>
</tr>
<tr>
<td valign="middle" align="center">TyG&#x2013;ALT</td>
<td valign="middle" align="center">0.616</td>
<td valign="middle" align="center">0.024</td>
<td valign="middle" align="center">0.569 - 0.662</td>
</tr>
<tr>
<td valign="middle" align="center">TYG-GGT</td>
<td valign="middle" align="center">0.614</td>
<td valign="middle" align="center">0.024</td>
<td valign="middle" align="center">0.567 - 0.661</td>
</tr>
<tr>
<td valign="middle" align="center">UACR</td>
<td valign="middle" align="center">0.612</td>
<td valign="middle" align="center">0.026</td>
<td valign="middle" align="center">0.561 - 0.662</td>
</tr>
<tr>
<td valign="middle" align="center">GGT</td>
<td valign="middle" align="center">0.603</td>
<td valign="middle" align="center">0.024</td>
<td valign="middle" align="center">0.556 - 0.651</td>
</tr>
<tr>
<td valign="middle" align="center">BMI</td>
<td valign="middle" align="center">0.602</td>
<td valign="middle" align="center">0.026</td>
<td valign="middle" align="center">0.551 - 0.652</td>
</tr>
<tr>
<td valign="middle" align="center">TyGIS</td>
<td valign="middle" align="center">0.601</td>
<td valign="middle" align="center">0.024</td>
<td valign="middle" align="center">0.555 - 0.648</td>
</tr>
<tr>
<td valign="middle" align="center">Age</td>
<td valign="middle" align="center">0.591</td>
<td valign="middle" align="center">0.027</td>
<td valign="middle" align="center">0.539 - 0.643</td>
</tr>
<tr>
<td valign="middle" align="center">AST</td>
<td valign="middle" align="center">0.583</td>
<td valign="middle" align="center">0.025</td>
<td valign="middle" align="center">0.533 - 0.632</td>
</tr>
<tr>
<td valign="middle" align="center">Hb</td>
<td valign="middle" align="center">0.567</td>
<td valign="middle" align="center">0.026</td>
<td valign="middle" align="center">0.517 - 0.617</td>
</tr>
<tr>
<td valign="middle" align="center">HOMA-IR</td>
<td valign="middle" align="center">0.563</td>
<td valign="middle" align="center">0.024</td>
<td valign="middle" align="center">0.515 - 0.611</td>
</tr>
<tr>
<td valign="middle" align="center">eGDR<sub>BMI</sub>
</td>
<td valign="middle" align="center">0.559</td>
<td valign="middle" align="center">0.023</td>
<td valign="middle" align="center">0.513 - 0.605</td>
</tr>
<tr>
<td valign="middle" align="center">TC</td>
<td valign="middle" align="center">0.519</td>
<td valign="middle" align="center">0.024</td>
<td valign="middle" align="center">0.529 - 0.567</td>
</tr>
<tr>
<td valign="middle" align="center">LDL-c</td>
<td valign="middle" align="center">0.495</td>
<td valign="middle" align="center">0.025</td>
<td valign="middle" align="center">0.544 - 0.553</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>BMI, body mass index; TC, total cholesterol; LDL-c, low-density lipoprotein cholesterol; TG, triglyceride; HDL-c, high-density lipoprotein cholesterol; ALT, alanine aminotransferase; AST, aspartate aminotransferase; GGT, gamma-glutamyl transferase; eGFR, estimated glomerular filtration rate; UACR, urinary albumin to creatinine ratio; Hb, hemoglobin; TyG&#x2013;ALT, triglyceride&#x2013;glucose&#x2013;alanine aminotransferase index; HOMA-IR, homeostatic model assessment of insulin resistance; eGDR<sub>BMI</sub>, estimated glucose disposal rate; SPISE, the single point insulin sensitivity estimator; TyGIS, improved triglyceride glucose index; METS-IR, metabolic score for IR; log<sub>e</sub> GDR, a natural log transformation of the glucose disposal rate.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3_5" sec-type="discussion">
<label>3.5</label>
<title>Discussion</title>
<p>This cross-sectional study revealed a significant inverse correlation between log<sub>e</sub> GDR and HUA prevalence. Our study revealed a significant log<sub>e</sub> GDR decrease in the group with HUA, and HUA incidence declined progressively with increasing log<sub>e</sub> GDR quartiles. Multivariable-adjusted regression models confirmed log<sub>e</sub> GDR as an independent factor associated with HUA.</p>
<p>Our study revealed that log<sub>e</sub> GDR was significantly associated with the aforementioned IR indices, with these markers decreasing progressively with increasing log<sub>e</sub> GDR quartiles. Current research indicates a strong association between HUA and IR, with particularly prominent correlations observed with the triglyceride-glucose (TyG) index and TyG-BMI index (<xref ref-type="bibr" rid="B17">17</xref>). However, the correlation between log<sub>e</sub> GDR and HUA has not been previously investigated. Here, we demonstrate an independent association between log<sub>e</sub> GDR and HUA for the first time.</p>
<p>This study also incorporated other IR indices (TG/HDL-c ratio, TyG index, TyG-GGT, TyG-BMI, TyG-ALT, HOMA-IR, SPISE, TyGIS, METS-IR, and eGDR<sub>BMI</sub>) and common HUA-related markers (TC, HDL-c, and LDL-c) for comprehensive analysis. Only log<sub>e</sub> GDR remained in the regression model, demonstrating its status as an independent factor associated with HUA. Area under the ROC curve analysis showed that log<sub>e</sub> GDR outperformed other variables in HUA prediction in patients with T2DM. These results indicate that this composite index (log<sub>e</sub> GDR) has significantly superior discriminative ability for HUA.</p>
<p>However, the mechanistic relationship between log<sub>e</sub> GDR and HUA has not been elucidated. HUA is significantly associated with oxidative stress, MetS, and IR. HUA causes endothelial dysfunction via apoptosis, oxidative stress, and inflammation. However, it interferes with insulin signaling and decreases endothelial nitric oxide availability, resulting in endothelial IR (<xref ref-type="bibr" rid="B9">9</xref>), increased expression of urate transporter 1 (URAT1) and glucose transporter 9 (GLUT9), and glycolytic disturbances because of IR may be associated with HUA development in MetS (<xref ref-type="bibr" rid="B28">28</xref>). Log<sub>e</sub> GDR includes the following key metabolic parameters: BMI, GGT, UACR, and TG, which are closely associated with HUA, oxidative stress, and MetS. A growing number of studies have shown a correlation between SUA and hypertriglyceridemia (HTG) (<xref ref-type="bibr" rid="B29">29</xref>). Studies have demonstrated a strong positive correlation between SUA and HTG (<xref ref-type="bibr" rid="B30">30</xref>). HTG is a core diagnostic criterion for MetS (<xref ref-type="bibr" rid="B31">31</xref>). Moreover, apolipoprotein E has been implicated in SUA-induced HTG (<xref ref-type="bibr" rid="B32">32</xref>). Apolipoprotein E4 leaves HDL more readily, enhancing the clearance of remnants, whose cholesterol downregulates hepatic LDL receptor expression, thereby increasing plasma LDL levels (<xref ref-type="bibr" rid="B33">33</xref>). This process elevates TG via the abovementioned mechanism. Additionally, recent evidence indicates that BMI is an important confounding factor in uric acid and metabolic disease research (<xref ref-type="bibr" rid="B34">34</xref>). Increased baseline BMI is significantly associated with higher HUA risk (<xref ref-type="bibr" rid="B35">35</xref>), which is partly attributable to obesity-induced IR, which enhances uric acid reabsorption in the proximal renal tubules while reducing uric acid and sodium excretion, leading to HUA (<xref ref-type="bibr" rid="B36">36</xref>, <xref ref-type="bibr" rid="B37">37</xref>). However, IR cases have also been reported in individuals with a low BMI and a highly inflammatory state because of mast cell activation associated with very high oxidative stress. Mast cells produce &#x3b1;-melanocyte-stimulating hormone(&#x3b1;-MSH), a hormone that stimulates cortisol production, thereby increasing blood sugar. This causes excessive insulin production and, consequently, IR. Furthermore, GGT is significantly associated with HUA. Oxidative stress and MetS are related to HUA; GGT levels are also associated with MetS and oxidative stress (<xref ref-type="bibr" rid="B38">38</xref>). GGT&#x2019;s physiological role of counteracting oxidative stress by breaking down extracellular glutathione and making its component amino acids available to cells makes it a potential oxidative stress marker (<xref ref-type="bibr" rid="B39">39</xref>). Studies show that UACR is significantly associated with increased uric acid. Uric acid was an independent factor for a 1-year increase of UACR [coefficient 4.80 (95% CI: 0.40&#x2013;9.33) (mg/g) per 1-mg/dL increase in uric acid, P&#xa0;=&#xa0;0.033] (<xref ref-type="bibr" rid="B40">40</xref>). This is probably because HUA plays a pathogenic role in chronic kidney disease development and progression by inducing inflammation, endothelial dysfunction, and activation of the renin&#x2013;angiotensin system (<xref ref-type="bibr" rid="B41">41</xref>, <xref ref-type="bibr" rid="B42">42</xref>). Furthermore, uric acid may increase oxidative stress, leading to mitochondrial dysfunction, proinflammatory cytokine oversecretion, and vascular smooth muscle cell proliferation, leading to renal function impairment (<xref ref-type="bibr" rid="B28">28</xref>). Additionally, unlike conventional IR indices, log<sub>e</sub> GDR innovatively incorporates the UACR. Given the well-established association between UACR and HUA metabolism, combined with our demonstration that UACR is an independent risk factor for HUA, this might be the reason log<sub>e</sub> GDR exhibits superior HUA prediction. In summary, all stratified log<sub>e</sub> GDR subgroups demonstrate significant associations with key HUA metabolic pathways.</p>
<p>This study has limitations. Because of its cross-sectional design, it could establish an association between log<sub>e</sub> GDR and HUA but not a causal relationship. Second, because this study was limited to patients with T2DM, it had a relatively small sample size of HUA cases. Future large-scale prospective studies are needed to further elucidate the relationship between IR and HUA. Moreover, the pathophysiological mechanisms underlying the association between log<sub>e</sub> GDR and HUA require further investigation.</p>
</sec>
</sec>
<sec id="s4" sec-type="conclusions">
<label>4</label>
<title>Conclusion</title>
<p>Log<sub>e</sub> GDR may be a superior HUA predictor and an effective HUA marker in patients with T2DM. However, the underlying mechanisms require further investigation.</p>
</sec>
</body>
<back>
<sec id="s5" sec-type="data-availability">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s6" sec-type="ethics-statement">
<title>Ethics statement</title>
<p>The studies involving humans were approved by Science and Technology Ethics Committee, Linyi People&#x2019;s Hospital. 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>YP: Writing &#x2013; review &amp; editing, Investigation, Resources, Data curation. PL: Investigation, Data curation, Writing &#x2013; original draft, Methodology. BJ: Investigation, Funding acquisition, Writing &#x2013; review &amp; editing, Data curation.</p>
</sec>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research and/or publication of this article. This study was supported by grants from the Postdoctoral Program of the Affiliated Hospital of Jining Medical University (JYFY322152).</p>
</sec>
<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="ai-statement">
<title>Generative AI statement</title>
<p>The author(s) declare that no Generative AI was used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</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>
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