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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.2025.1514093</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 liver fibrosis in non-alcoholic fatty liver disease and insulin resistance indicators: a cross-sectional study from NHANES 2017&#x2013;2020</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Yang</surname>
<given-names>Bo</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2314285"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Gong</surname>
<given-names>Mingsu</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2956971"/>
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<role content-type="https://credit.niso.org/contributor-roles/software/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Zhu</surname>
<given-names>Xiaojie</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2957662"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/resources/"/>
<role content-type="https://credit.niso.org/contributor-roles/validation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Luo</surname>
<given-names>Yang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2956833"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Li</surname>
<given-names>Ruiqiu</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2699679"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Meng</surname>
<given-names>Hai</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2863211"/>
<role content-type="https://credit.niso.org/contributor-roles/resources/"/>
<role content-type="https://credit.niso.org/contributor-roles/supervision/"/>
<role content-type="https://credit.niso.org/contributor-roles/validation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Wang</surname>
<given-names>Yuhan</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/2872301"/>
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</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Department of Gastroenterology and Hepatology, Guizhou Aerospace Hospital</institution>, <addr-line>Zunyi</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Gastroenterology and Hepatology, Binhai County People&#x2019;s Hospital</institution>, <addr-line>Yancheng</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Evelyn Nunes Goulart Da Silva Pereira, Oswaldo Cruz Foundation (Fiocruz), Brazil</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Zhijun Feng, Lanzhou University, China</p>
<p>Jiapeng Hu, Shengjing Hospital of China Medical University, China</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Yuhan Wang, <email xlink:href="mailto:19051905555@163.com">19051905555@163.com</email>
</p>
</fn>
<fn fn-type="equal" id="fn003">
<p>&#x2020;These authors have contributed equally to this work and share first authorship</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>31</day>
<month>01</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>16</volume>
<elocation-id>1514093</elocation-id>
<history>
<date date-type="received">
<day>20</day>
<month>10</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>14</day>
<month>01</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Yang, Gong, Zhu, Luo, Li, Meng and Wang</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Yang, Gong, Zhu, Luo, Li, Meng and Wang</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<sec>
<title>Introduction</title>
<p>Non-alcoholic fatty liver disease (NAFLD) is a leading cause of chronic liver disease worldwide, with liver fibrosis (LF) being a crucial pathological feature in the progression of NAFLD. Insulin resistance (IR) is believed to play an important role in the pathogenesis of NAFLD and the development of LF. This study aims to explore the relationship between various IR indicators and LF in patients with NAFLD.</p>
</sec>
<sec>
<title>Methods</title>
<p>This study utilized data from the National Health and Nutrition Examination Survey 2017-2020 cycles. Liver steatosis and fibrosis were assessed using liver ultrasound transient elastography. To assess the association between multiple IR indicators and LF, the study methodology included univariate and multivariate logistic regression, as well as restricted cubic spline (RCS) analysis. Subsequently, we used multivariate logistic regression to develop and validate a predictive model for LF, and evaluated the model&#x2019;s performance using the area under the curve (AUC) and calibration curve.</p>
</sec>
<sec>
<title>Results</title>
<p>A total of 904 patients were included in the final analysis. Among these NAFLD patients, 153 (16.92%) had LF. Compared to non-LF patients, LF patients had significantly higher body mass index (BMI), waist circumference (WC), alanine aminotransferase (ALT), aspartate aminotransferase (AST), gamma-glutamyl transferase (GGT), HbA1c, and fasting blood glucose (FBG) levels (all p &lt; 0.05). Analysis of IR indicators showed that LF patients had significantly higher levels of TyG, TyG-WHtR, TyG-BMI, TyG-WC, TyG-GGT, METS-IR, and HOMA-IR (all p &lt; 0.05). After adjusting for covariates, TyG-WHtR remained an independent risk factor (OR=2.69; 95% CI: 2.08-3.47), indicating a strong correlation with LF. The developed nomogram, incorporating AST, TyG, TyG-BMI, and diabetes, showed an AUC of 0.809 (95% CI: 0.771-0.847), indicating good predictive performance for LF in NAFLD patients.</p>
</sec>
<sec>
<title>Conclusions</title>
<p>This study confirms that a significant association between various IR and LF in NAFLD patients, and the developed nomogram provides a practical tool for early risk assessment. These findings underscore the clinical value of incorporating IR indices into routine practice to identify high-risk patients, enabling timely interventions to prevent fibrosis progression and improve outcomes.</p>
</sec>
</abstract>
<kwd-group>
<kwd>non-alcoholic fatty liver disease</kwd>
<kwd>liver fibrosis</kwd>
<kwd>insulin resistance</kwd>
<kwd>logistic regression</kwd>
<kwd>TyG-WHtR</kwd>
</kwd-group>
<counts>
<fig-count count="6"/>
<table-count count="2"/>
<equation-count count="8"/>
<ref-count count="53"/>
<page-count count="12"/>
<word-count count="5264"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Systems Endocrinology</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>Non-alcoholic fatty liver disease (NAFLD) is defined as the excessive accumulation of fat in the liver in the absence of significant alcohol consumption. It is often regarded as the hepatic manifestation of metabolic syndrome and is commonly associated with metabolic disorders such as obesity, type 2 diabetes, and hyperlipidemia (<xref ref-type="bibr" rid="B1">1</xref>). In recent years, the incidence of NAFLD has increased, surpassing that of viral hepatitis to become the predominant chronic liver disease globally (<xref ref-type="bibr" rid="B2">2</xref>). The pathogenesis of NAFLD is complex and ranges from simple fatty liver, characterized by excess fat in the liver without significant inflammation or fibrosis, to non-alcoholic steatohepatitis (NASH), which not only involves fat accumulation but also accompanies liver cell inflammation and damage, ultimately leading to liver fibrosis (LF) (<xref ref-type="bibr" rid="B3">3</xref>). LF is a key pathological feature in the progression of NAFLD and a major risk factor for the development of cirrhosis and hepatocellular carcinoma. In recent years, an increasing number of studies have focused on the epidemiology of LF caused by NAFLD, with results indicating that the prevalence of LF significantly increases with the severity of NAFLD (<xref ref-type="bibr" rid="B4">4</xref>, <xref ref-type="bibr" rid="B5">5</xref>). Therefore, it is crucial to promptly identify the risk factors for LF in patients with NAFLD.</p>
<p>Insulin resistance (IR) is a well-recognized factor in the pathogenesis of NAFLD and plays a critical role in its progression. IR leads to an imbalance in lipid metabolism, promoting hepatic fat accumulation and contributing to liver inflammation and fibrosis (<xref ref-type="bibr" rid="B6">6</xref>). Given the close relationship between IR and NAFLD, indicators of IR, such as fasting blood glucose (FBG), fasting insulin, and the homeostasis model assessment of insulin resistance (HOMA-IR), have been widely used as biomarkers to assess metabolic dysfunction in patients with NAFLD (<xref ref-type="bibr" rid="B7">7</xref>, <xref ref-type="bibr" rid="B8">8</xref>). In addition to traditional markers of IR, the triglyceride-glucose index (TyG) has drawn increasing attention in recent years. The TyG index is a calculated measure based on fasting triglycerides and FBG. Due to its simplicity, ease of availability, and strong correlation with IR, it has been widely utilized for assessing IR and cardiovascular disease risk (<xref ref-type="bibr" rid="B9">9</xref>, <xref ref-type="bibr" rid="B10">10</xref>). Moreover, the indicators combining TyG with body mass index (BMI), waist circumference (WC), and waist-to-height ratio (WHtR) further enhance the assessment of an individual&#x2019;s metabolic status and have been shown to be closely associated with the presence and severity of NAFLD (<xref ref-type="bibr" rid="B11">11</xref>). Although the association between NAFLD and IR is well-established, the exact relationship between various IR indicators (including the TyG index) and the degree of LF in NAFLD remains unclear. Most previous studies have primarily focused on the presence of NAFLD and its progression to NASH, with comparatively less attention given to the specific correlation between these IR indicators and the degree of hepatic fibrosis in NAFLD patients (<xref ref-type="bibr" rid="B12">12</xref>, <xref ref-type="bibr" rid="B13">13</xref>). A deeper exploration of the association between the TyG index and HOMA-IR with LF in NAFLD patients will enhance our understanding of the metabolic mechanisms underlying the disease and provide new insights for early risk assessment.</p>
<p>Histopathological examination of liver biopsy specimens has long been considered the gold standard for diagnosing NAFLD and LF. Nonetheless, this method presents several limitations, including its invasive nature, low acceptability, and high cost (<xref ref-type="bibr" rid="B14">14</xref>). In recent years, liver ultrasound transient elastography (LUTE) has emerged as an accurate and non-invasive technique for assessing the degree of steatosis and fibrosis in patients with NAFLD (<xref ref-type="bibr" rid="B15">15</xref>). A meta-analysis found that LUTE exhibits good sensitivity and specificity for LF, with sensitivity and specificity values of 0.79 and 0.78, respectively (<xref ref-type="bibr" rid="B16">16</xref>). Previous research has focused on developing non-invasive diagnostic methods for LF. Several studies have developed serological models based on biochemical markers and clinical information to predict LF, including the fibrosis-4 index, aspartate aminotransferase (AST) to platelet ratio, AST to alanine aminotransferase (ALT) ratio, Forns index, and BARD score (<xref ref-type="bibr" rid="B17">17</xref>&#x2013;<xref ref-type="bibr" rid="B19">19</xref>). However, when these scoring systems are used to predict LF in NAFLD patients, they do not include metabolic indicators such as the TyG index. The lack of these key metabolic markers may reduce the accuracy of the models, failing to fully reflect the fibrosis risk caused by NAFLD.</p>
<p>In our study, we aim to utilize data from the National Health and Nutrition Examination Survey (NHANES) database to assess NAFLD and LF using LUTE. We will then explore the correlation between LF and various IR indicators in NAFLD patients. Additionally, we will attempt to develop a predictive model for NAFLD-related LF based on these metabolic indicators. This study will provide valuable insights into the potential role of IR in the progression of LF and help identify key markers for early risk stratification and management, thereby enabling a more accurate prediction of fibrosis risk in NAFLD patients.</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<label>2</label>
<title>Materials and methods</title>
<sec id="s2_1">
<label>2.1</label>
<title>Study design and participants</title>
<p>The NHANES is a complex, multistage, cross-sectional survey conducted every two years to assess the health and nutritional status of adults in the United States. This study utilized NHANES data from the 2017 to March 2020 cycles, with a total sample size of 15,560 individuals. The following participants were excluded: individuals under 18 years of age (n=5,867), those with excessive alcohol consumption (more than 3 drinks per day for men or more than 2 drinks per day for women, n=2,877), individuals with viral hepatitis (including those positive for hepatitis B surface antigen or hepatitis virus RNA, n=560), individuals with a history of autoimmune hepatitis or other liver diseases (n=24), individuals lacking LUTE data (n=1,206), and individuals missing covariate data (including BMI, FBG, WC, high-density lipoprotein (HDL), triglycerides (TG), total cholesterol (TC), low-density lipoprotein (LDL), ALT, AST, diabetes, and hypertension, n=2,967). Additionally, patients with non-NAFLD (n=1,155) were excluded. In the final analysis, 904 participants with NAFLD were included. A detailed flowchart is shown in <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>. The specific original data can be found in the <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Materials</bold>
</xref>. The NHANES study protocol received approval from the National Center for Health Statistics Research Ethics Review Board, and all participants were fully informed and provided written consent in compliance with the ethical guidelines.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Flowchart of inclusion and exclusion criteria for NAFLD patients in the NHANES database. NAFLD, non-alcoholic fatty liver disease.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-16-1514093-g001.tif"/>
</fig>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Definition of NAFLD and LF</title>
<p>The definition of NAFLD and LF was primarily determined using LUTE, which provided liver stiffness measurements (LSM), and simultaneously measured the ultrasound attenuation associated with liver steatosis, recorded as the controlled attenuation parameter (CAP). Specifically, CAP&#x2265;274 dB/m was used to define NAFLD, and participants with LSM &#x2265; 8.2 kPa were defined as having LF (<xref ref-type="bibr" rid="B20">20</xref>).</p>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Definitions of IR index</title>
<p>The different IR indices were calculated by the following equations (<xref ref-type="bibr" rid="B21">21</xref>&#x2013;<xref ref-type="bibr" rid="B25">25</xref>):</p>
<disp-formula>
<mml:math display="block" id="M1">
<mml:mrow>
<mml:mtext>WHtR&#xa0;</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mtext>&#xa0;WC&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mtext>cm</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>&#xa0;height&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mtext>cm</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<mml:math display="block" id="M2">
<mml:mrow>
<mml:mtext>TyG&#xa0;</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mtext>&#xa0;ln&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">[</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mtext>TG&#xa0;</mml:mtext>
<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:mtext>&#xa0;</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>&#xa0;FPG&#xa0;</mml:mtext>
<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:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo stretchy="false">/</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">]</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<mml:math display="block" id="M3">
<mml:mrow>
<mml:mtext>TyG</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>WC&#xa0;</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mtext>&#xa0;TyG&#xa0;</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>&#xa0;WC</mml:mtext>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<mml:math display="block" id="M4">
<mml:mrow>
<mml:mtext>TyG</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>BMI&#xa0;</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mtext>&#xa0;TyG&#xa0;</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>&#xa0;BMI</mml:mtext>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<mml:math display="block" id="M5">
<mml:mrow>
<mml:mtext>TyG</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>WHtR&#xa0;</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mtext>&#xa0;TyG&#xa0;</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>WHtR</mml:mtext>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<mml:math display="block" id="M6">
<mml:mrow>
<mml:mtext>TyG</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>GGT&#xa0;</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mtext>&#xa0;TyG&#xa0;</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>&#xa0;GGT</mml:mtext>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<mml:math display="block" id="M7">
<mml:mrow>
<mml:mtable>
<mml:mtr>
<mml:mtd columnalign="left"><mml:mtext>METS</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>IR</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mtext>&#xa0;ln&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">[</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>&#xa0;FPG&#xa0;</mml:mtext>
<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:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>+</mml:mo>
<mml:mtext>&#xa0;TG&#xa0;</mml:mtext>
<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>
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<mml:mtext>HDL&#xa0;</mml:mtext>
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<mml:math display="block" id="M8">
<mml:mrow>
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<mml:mtr>
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<mml:mtext>HOMA</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
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<mml:mtext>&#xa0;</mml:mtext>
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</sec>
<sec id="s2_4">
<label>2.4</label>
<title>Covariates</title>
<p>In our study, we identified several potential factors associated with LF in NAFLD patients, known as covariates, including variables such as ALT, AST, BMI, and WC, which have been previously reported to be related to the occurrence of LF (<xref ref-type="bibr" rid="B26">26</xref>, <xref ref-type="bibr" rid="B27">27</xref>). To control for the influence of these confounding factors on our study results, we implemented covariate adjustments in our statistical models to minimize potential bias. Specifically, our analytical approach included adjustments for the following covariates: demographic characteristics (age, gender, BMI, WC), laboratory indicators (ALT, AST, TC, TG, HDL, LDL, and FBG), and underlying diseases (self-reported physician-diagnosed hypertension or diabetes, and current use of antihypertensive or antidiabetic medications as indicators of hypertension or diabetes). These standardized interviews and questionnaires were administered by trained healthcare professionals.</p>
</sec>
<sec id="s2_5">
<label>2.5</label>
<title>Statistical analysis</title>
<p>The baseline characteristics of all included patients were stratified based on the occurrence of LF. Non-normally distributed variables were presented as interquartile ranges and compared using the Wilcoxon rank-sum test. Categorical variables were expressed as percentages and compared using the chi-square test. To investigate the relationship between various factors and LF in patients with NAFLD, we initially conducted a univariate logistic regression analysis and visualized the results using a forest plot, which presented the odds ratio (OR) along with their corresponding 95% confidence interval (CI) for each factor. Subsequently, we constructed four multivariate logistic regression models to further assess the independent associations between each IR indicator and LF. The OR and their 95% CI for all models were calculated by exponentiating the regression coefficients, with adjustments for potential confounding factors incorporated in the multivariate models (<xref ref-type="bibr" rid="B28">28</xref>). Additionally, the study group used restricted cubic spline (RCS) plots to visualize the linear relationship between IR indicators and LF in NAFLD patients more intuitively (<xref ref-type="bibr" rid="B29">29</xref>, <xref ref-type="bibr" rid="B30">30</xref>). The value of IR indicators for diagnosing disease prognosis was assessed using receiver operating characteristic (ROC) curves (<xref ref-type="bibr" rid="B31">31</xref>). Based on the multivariate logistic regression models, a nomogram was constructed using statistically significant indicators to diagnose the disease (<xref ref-type="bibr" rid="B32">32</xref>). To evaluate the validity of the nomogram, the area under the ROC curve (AUC) and calibration curves were calculated. All statistical analyses were performed using R software (version 4.3.0) and STATA 17.0 (64-bit), with a two-sided P-value &lt;0.05 considered statistically significant.</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results</title>
<sec id="s3_1">
<label>3.1</label>
<title>Demographic and clinical characteristics of participants</title>
<p>The study cohort included a total of 904 NAFLD patients based on inclusion and exclusion criteria, comprising 751 non-LF patients (83.08%) and 153 LF patients (16.92%). <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref> compares the baseline clinical characteristics between patients with LF and those without. Analysis revealed that compared to non-LF patients, LF patients had significantly higher BMI (median: 31.10 [27.90, 35.45] vs. 37.30 [32.50, 43.80], p &lt; 0.001) and WC (median: 106.70 [98.00, 116.50] vs. 122.20 [112.50, 131.70], p &lt; 0.001). Analysis of laboratory markers indicated that LF patients had significantly higher levels of ALT, AST, GGT, HbA1c, and FBG, while TC, HDL, and LDL were significantly lower compared to non-LF patients (all p &lt; 0.05). Analysis of various IR indicators showed that LF patients had significantly higher TyG, TyG-WHtR, TyG-BMI, TyG-WC, TyG-GGT, METS-IR, and HOMA-IR compared to non-LF patients (all p &lt; 0.05). Among patients with comorbidities, those with diabetes or hypertension were significantly more likely to develop LF than those without (all p &lt; 0.05). For other variables, no significant differences were found in sex or age between the two groups (all p &gt; 0.05).</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Baseline demographic and clinical characteristics of participating patients.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" rowspan="2" align="center">Characteristics</th>
<th valign="middle" rowspan="2" align="center">Total<break/>No. (%)</th>
<th valign="middle" align="center">Non-Fibrosis</th>
<th valign="middle" align="center">Fibrosis</th>
<th valign="middle" rowspan="2" align="center">
<italic>p</italic>-value</th>
</tr>
<tr>
<th valign="top" align="center">No. (%)</th>
<th valign="top" align="center">No. (%)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Total</td>
<td valign="top" align="center">904</td>
<td valign="top" align="center">751 (83.08)</td>
<td valign="top" align="center">153 (16.92)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<th valign="middle" align="left">Gender, n(%)</th>
<th valign="middle" align="center"/>
<th valign="middle" align="center"/>
<th valign="middle" align="center"/>
<th valign="middle" align="center">0.322</th>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;&#x2003;Male</td>
<td valign="middle" align="center">493 (54.5%)</td>
<td valign="middle" align="center">404 (53.8%)</td>
<td valign="middle" align="center">89 (58.2%)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;&#x2003;Female</td>
<td valign="middle" align="center">411 (45.5%)</td>
<td valign="middle" align="center">347 (46.2%)</td>
<td valign="middle" align="center">64 (41.8%)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="left">Age (years)</td>
<td valign="middle" align="center">57.00(43.00, 67.00)</td>
<td valign="middle" align="center">57.00(42.00, 67.00)</td>
<td valign="middle" align="center">59.00(47.00, 68.00)</td>
<td valign="middle" align="center">0.220</td>
</tr>
<tr>
<td valign="middle" align="left">BMI</td>
<td valign="middle" align="center">32.00(28.30, 37.20)</td>
<td valign="middle" align="center">31.10(27.90, 35.45)</td>
<td valign="middle" align="center">37.30(32.50, 43.80)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="left">WC</td>
<td valign="middle" align="center">108.85(99.70, 119.82)</td>
<td valign="middle" align="center">106.70(98.00, 116.50)</td>
<td valign="middle" align="center">122.20(112.50, 131.70)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="left">ALT (U/L)</td>
<td valign="middle" align="center">21.00(15.00, 30.00)</td>
<td valign="middle" align="center">20.00(15.00, 28.00)</td>
<td valign="middle" align="center">25.00(16.00, 40.00)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="left">AST (U/L)</td>
<td valign="middle" align="center">19.00(16.00, 24.00)</td>
<td valign="middle" align="center">19.00(16.00, 24.00)</td>
<td valign="middle" align="center">21.00(17.00, 29.00)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="left">GGT (U/L)</td>
<td valign="middle" align="center">24.00(18.00, 35.00)</td>
<td valign="middle" align="center">24.00(17.00, 33.00)</td>
<td valign="middle" align="center">29.00(21.00, 54.00)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="left">TC (mmol/L)</td>
<td valign="middle" align="center">4.63(4.01, 5.38)</td>
<td valign="middle" align="center">4.65(4.09, 5.48)</td>
<td valign="middle" align="center">4.42(3.83, 5.04)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="left">TG (mmol/L)</td>
<td valign="middle" align="center">1.29(0.90, 1.79)</td>
<td valign="middle" align="center">1.28(0.89, 1.79)</td>
<td valign="middle" align="center">1.32(0.95, 1.77)</td>
<td valign="middle" align="center">0.592</td>
</tr>
<tr>
<td valign="middle" align="left">HDL (mmol/L)</td>
<td valign="middle" align="center">1.16(1.01, 1.40)</td>
<td valign="middle" align="center">1.19(1.01, 1.42)</td>
<td valign="middle" align="center">1.14(0.98, 1.32)</td>
<td valign="middle" align="center">0.044</td>
</tr>
<tr>
<td valign="middle" align="left">LDL (mmol/L)</td>
<td valign="middle" align="center">2.74(2.20, 3.14)</td>
<td valign="middle" align="center">2.82(2.25, 3.46)</td>
<td valign="middle" align="center">2.46(1.99, 3.13)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="left">HbA1c (%)</td>
<td valign="middle" align="center">5.80(5.50, 6.50)</td>
<td valign="middle" align="center">5.80(5.40, 6.25)</td>
<td valign="middle" align="center">6.20(5.70, 7.60)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="left">FBG (mmol/L)</td>
<td valign="middle" align="center">6.11(5.61, 7.11)</td>
<td valign="middle" align="center">6.05(5.55, 6.94)</td>
<td valign="middle" align="center">6.72(5.94, 8.55)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="left">TyG</td>
<td valign="middle" align="center">8.77(8.39, 9.23)</td>
<td valign="middle" align="center">8.72(8.37, 9.21)</td>
<td valign="middle" align="center">8.93(8.51, 9.26)</td>
<td valign="middle" align="center">0.005</td>
</tr>
<tr>
<td valign="middle" align="left">TyG-WHtR</td>
<td valign="middle" align="center">5.78(5.15, 6.46)</td>
<td valign="middle" align="center">5.60(5.07, 6.23)</td>
<td valign="middle" align="center">6.51(5.90, 7.20)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="left">TyG-BMI</td>
<td valign="middle" align="center">282.69(246.32, 333.08)</td>
<td valign="middle" align="center">274.72(241.95, 316.41)</td>
<td valign="middle" align="center">336.98(292.24, 385.13)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="left">TyG-WC</td>
<td valign="middle" align="center">961.78(857.68, 1074.51)</td>
<td valign="middle" align="center">939.90(846.10, 1046.47)</td>
<td valign="middle" align="center">1091.97(997.30, 1199.98)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="left">TyG-GGT</td>
<td valign="middle" align="center">215.80(154.08, 309.09)</td>
<td valign="middle" align="center">208.09(147.84, 293.14)</td>
<td valign="middle" align="center">266.58(183.50, 502.69)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="left">METS-IR</td>
<td valign="middle" align="center">49.57(42.89, 58.82)</td>
<td valign="middle" align="center">48.00(41.88, 56.52)</td>
<td valign="middle" align="center">59.07(51.54, 68.38)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="left">HOMA-IR</td>
<td valign="middle" align="center">4.41(2.75, 7.22)</td>
<td valign="middle" align="center">4.05(2.59, 6.15)</td>
<td valign="middle" align="center">7.48(4.29, 11.05)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<th valign="middle" align="left">Diabetes, n(%)</th>
<th valign="middle" align="center"/>
<th valign="middle" align="center"/>
<th valign="middle" align="center"/>
<th valign="middle" align="center">&lt;0.001</th>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;&#x2003;YES</td>
<td valign="middle" align="center">254 (28.1%)</td>
<td valign="middle" align="center">176 (23.4%)</td>
<td valign="middle" align="center">78 (51.0%)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;&#x2003;NO</td>
<td valign="middle" align="center">650 (71.9%)</td>
<td valign="middle" align="center">575 (76.6%)</td>
<td valign="middle" align="center">75 (49.0%)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<th valign="middle" align="left">Hypertension, n(%)</th>
<th valign="middle" align="center"/>
<th valign="middle" align="center"/>
<th valign="middle" align="center"/>
<th valign="middle" align="center">&lt;0.001</th>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;&#x2003;YES</td>
<td valign="middle" align="center">445 (49.2%)</td>
<td valign="middle" align="center">349 (46.5%)</td>
<td valign="middle" align="center">96 (62.7%)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;&#x2003;NO</td>
<td valign="middle" align="center">459 (50.8%)</td>
<td valign="middle" align="center">402 (53.5%)</td>
<td valign="middle" align="center">57 (37.3%)</td>
<td valign="middle" align="center"/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>BMI, Body Mass Index; WC, Waist Circumference; ALT, Alanine Aminotransferase; AST, Aspartate Aminotransferase; GGT, Gamma-Glutamyl Transferase; TC, Total Cholesterol; TG, Triglycerides; HDL, High-Density Lipoprotein Cholesterol; LDL, Low-Density Lipoprotein Cholesterol; FBG, Fasting Blood Glucose; TyG, Triglyceride-Glucose Index; TyG-WHtR, Triglyceride-Glucose Index to Waist-to-Height Ratio; TyG-BMI, Triglyceride-Glucose Index to Body Mass Index; TyG-WC, Triglyceride-Glucose Index to Waist Circumference; TyG-GGT, Triglyceride-Glucose Index to Gamma-Glutamyl Transferase; METS-IR, Metabolic Score for Insulin Resistance; HOMA-IR, Homeostasis Model Assessment of Insulin Resistance.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Analysis of factors contributing to LF in NAFLD patients</title>
<p>To identify the factors associated with the progression of NAFLD to LF, we performed a univariate logistic regression analysis, as shown in the forest plot in <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>. The analysis revealed that IR indicators, including TyG, TyG-WHtR, TyG-BMI, TyG-WC, TyG-GGT, METS-IR, and HOMA-IR, were significantly associated with the development of LF in NAFLD patients (all p &lt; 0.05). Among these, TyG (OR=1.44; 95% CI: 1.10-1.88, p &lt; 0.01) and TyG-WHtR (OR=2.75; 95% CI: 2.23-3.40, p &lt; 0.01) showed the most notable associations. Additionally, we found that a higher BMI increased the likelihood of LF in NAFLD patients (OR=1.13; 95% CI: 1.10-1.16, p &lt; 0.01). Similarly, higher values of WC, ALT, AST, GGT, TC, LDL, HbA1c, and FBG were associated with an increased risk of LF, with LDL (OR=1.46; 95% CI: 1.19-1.72, p &lt; 0.01) and HbA1c (OR=1.36; 95% CI: 1.22-1.52, p &lt; 0.01) being particularly relevant. Analysis of comorbidities showed that patients with hypertension (OR=3.40; 95% CI: 2.37-4.87, p &lt; 0.01) and diabetes (OR=1.94; 95% CI: 1.36-2.77, p &lt; 0.01) were more likely to develop LF.</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Forest plot of univariate logistic regression for risk factors of LF in NAFLD Patients. LF, liver fibrosis; NAFLD, non-alcoholic fatty liver disease.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-16-1514093-g002.tif"/>
</fig>
<p>Based on the results of the logistic regression analysis, an RCS plot was constructed to visualize the relationship between different IR indicators and the risk of LF in NAFLD patients (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>). It was found that TyG, TyG-WHtR, TyG-BMI, TyG-WC, TyG-GGT, METS-IR, and HOMA-IR were positively correlated with the development of LF in NAFLD patients, further validating the above findings.</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Dose-response between IR indices and the risk of LF. <bold>(A)</bold> Dose-response between TyG and the risk of LF. <bold>(B)</bold> Dose-response between TyG-BMI and the risk of LF. <bold>(C)</bold> Dose-response between TyG-WC and the risk of LF. <bold>(D)</bold> Dose-response between TyG-GGT and the risk of LF. <bold>(E)</bold> Dose-response between TyG-WHtR and the risk of LF. <bold>(F)</bold> Dose-response between METS-IR and the risk of LF. <bold>(G)</bold> Dose-response between HOMA-IR and the risk of LF. IR, insulin resistance; LF, liver fibrosis.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-16-1514093-g003.tif"/>
</fig>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Analysis of independent risk factors for LF in NAFLD patients</title>
<p>We constructed four multivariate logistic regression models to further determine whether IR is an independent risk factor for LF in NAFLD patients (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). In Model 1, which was unadjusted for any variables, the analysis showed that TyG (OR=1.44; 95% CI: 1.10-1.88, p &lt; 0.01) and TyG-WHtR (OR=2.75; 95% CI: 2.23-3.40, p &lt; 0.01) were most significantly associated with LF, consistent with the univariate logistic regression results, while the other IR indicators were also statistically significant but had weaker associations. After adjusting for age and sex in Model 2, the analysis revealed that the association for TyG-WHtR became more pronounced (OR=3.01; 95% CI: 2.40-3.76, p &lt; 0.01), while the other indicators showed no significant changes compared to Model 1. In Model 3, we further adjusted for comorbidities such as diabetes and hypertension based on Model 2. It was found that the association of TyG-WHtR (OR=2.66; 95% CI: 2.10-3.37, p &lt; 0.01) weakened significantly, and TyG lost statistical significance after adjustment, while the other indicators remained largely unchanged and were all statistically significant (all p &lt; 0.05). Subsequently, in Model 4, additional adjustments for BMI, WC, ALT, AST, GGT, TC, LDL, HbA1c, and FBG were made based on Model 3. It was found that TyG-GGT and METS-IR were no longer statistically significant, while the other indicators remained significantly associated, with TyG (OR=1.23; 95% CI: 1.09-1.45, p = 0.04) and TyG-WHtR (OR=2.69; 95% CI: 2.08-3.47, p &lt; 0.01) being the most notable. Through the construction of these different models, we found that TyG, TyG-WHtR, TyG-BMI, TyG-WC, and HOMA-IR were independent risk factors for the development of LF in NAFLD patients, with strong associations.</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Multivariate logistic regression models assessing IR as an independent risk factor for LF in NAFLD patients.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" rowspan="2" align="center"/>
<th valign="top" align="center">Model 1</th>
<th valign="top" align="center">Model 2</th>
<th valign="top" align="center">Model 3</th>
<th valign="top" align="center">Model 4</th>
</tr>
<tr>
<th valign="top" align="center">OR (95% CI), <italic>p</italic>-value</th>
<th valign="top" align="center">OR (95% CI), <italic>p</italic>-value</th>
<th valign="top" align="center">OR (95% CI), <italic>p</italic>-value</th>
<th valign="top" align="center">OR (95% CI), <italic>p</italic>-value</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">TyG</td>
<td valign="middle" align="center">1.44(1.10,1.88)&lt; 0.01</td>
<td valign="middle" align="center">1.44(1.09&#x2013;1.91)&lt; 0.01</td>
<td valign="middle" align="center">1.02(0.75&#x2013;1.37)<break/>0.91</td>
<td valign="middle" align="center">1.23(1.09&#x2013;1.45)<break/>0.04</td>
</tr>
<tr>
<td valign="middle" align="center">TyG-WHtR</td>
<td valign="middle" align="center">2.75(2.23,3.40)&lt; 0.01</td>
<td valign="middle" align="center">3.01(2.40&#x2013;3.76)&lt; 0.01</td>
<td valign="middle" align="center">2.66(2.10&#x2013;3.37)&lt; 0.01</td>
<td valign="middle" align="center">2.69(2.08&#x2013;3.47)&lt; 0.01</td>
</tr>
<tr>
<td valign="middle" align="center">TyG-BMI</td>
<td valign="middle" align="center">1.01(1.01,1.02)&lt; 0.01</td>
<td valign="middle" align="center">1.02(1.01&#x2013;1.02)&lt; 0.01</td>
<td valign="middle" align="center">1.01(1.01,1.01)&lt; 0.01</td>
<td valign="middle" align="center">1.01(1.01,1.01)<break/>0.02</td>
</tr>
<tr>
<td valign="middle" align="center">TyG-WC</td>
<td valign="middle" align="center">1.01(1.01,1.01)&lt; 0.01</td>
<td valign="middle" align="center">1.01(1.01,1.01)&lt; 0.01</td>
<td valign="middle" align="center">1.01(1.01,1.00)&lt; 0.01</td>
<td valign="middle" align="center">1.01(1.01,1.01)<break/>0.02</td>
</tr>
<tr>
<td valign="middle" align="center">TyG-GGT</td>
<td valign="middle" align="center">1.01(1.01,1.01)&lt; 0.01</td>
<td valign="middle" align="center">1.01(1.01,1.02)&lt; 0.01</td>
<td valign="middle" align="center">1.01(1.01,1.02)&lt; 0.01</td>
<td valign="middle" align="center">0.99(0.98,1.01)<break/>0.82</td>
</tr>
<tr>
<td valign="middle" align="center">METS-IR</td>
<td valign="middle" align="center">1.08(1.06,1.09)&lt; 0.01</td>
<td valign="middle" align="center">1.08(1.06,1.10)&lt; 0.01</td>
<td valign="middle" align="center">1.07(1.06,1.09)&lt; 0.01</td>
<td valign="middle" align="center">0.95(0.90,1.01)<break/>0.06</td>
</tr>
<tr>
<td valign="middle" align="center">HOMA-IR</td>
<td valign="middle" align="center">1.03(1.02,1.05)&lt; 0.01</td>
<td valign="middle" align="center">1.03(1.01,1.05)&lt; 0.01</td>
<td valign="middle" align="center">1.02(1.01,1.04)&lt; 0.01</td>
<td valign="middle" align="center">1.01(1.01,1.02)&lt; 0.01</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Model 1 was a non-adjusted model.</p>
</fn>
<fn>
<p>Model 2 was adjusted for age (years), gender and race.</p>
</fn>
<fn>
<p>Model 3 was adjusted for the same parameters as Model 2 with additional adjustments for hypertension (No or Yes) and diabetes (No or Yes).</p>
</fn>
<fn>
<p>Model 4 was adjusted for the same parameters as Model 3 with additional adjustments for BMI&#x3001;WC&#x3001;ALT&#x3001;AST&#x3001;GGT&#x3001;TC&#x3001;LDL&#x3001;HbA1c&#x3001;FBG.</p>
</fn>
<fn>
<p>OR, odds ratio; 95% CI, 95% confidence interval.</p>
</fn>
<fn>
<p>IR, insulin resistance; LF, liver fibrosis; NAFLD, non-alcoholic fatty liver disease.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3_4">
<label>3.4</label>
<title>Predictive value of multiple IR indicators for diagnosing LF in NAFLD patients</title>
<p>To further explore the clinical diagnostic predictive value of various IR indicators for LF in NAFLD patients, an ROC curve diagnostic analysis model was established (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>). The analysis revealed that TyG and TyG-GGT did not show good predictive value for disease diagnosis, with AUCs of 0.572 and 0.647, respectively, both below 0.7. The remaining indicators&#x2014;TyG-WHtR, TyG-BMI, TyG-WC, METS-IR, and HOMA-IR&#x2014;all had AUCs greater than 0.7, with TyG-WC having the highest AUC of 0.764, indicating relatively high predictive value for diagnosis.</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Predictive value of multiple IR indicators for diagnosing LF. IR, insulin resistance; LF, liver fibrosis.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-16-1514093-g004.tif"/>
</fig>
</sec>
<sec id="s3_5">
<label>3.5</label>
<title>Construction of predictive model for LF in NAFLD patients and evaluation of its effectiveness</title>
<p>We performed a multivariate logistic regression analysis on all indicators to construct the diagnostic model. From 24 variables, we identified four variables as risk factors for predicting LF: AST, TyG, TyG-BMI, and diabetes. The risk scores for each factor included in the nomogram are shown in <xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>, with higher scores indicating a higher risk of LF. To evaluate the performance of the constructed nomogram, we plotted the ROC curve and the calibration curve in <xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref>. The ROC curve shows an AUC of 0.809 (95% CI:0.771&#x2212;0.847), and the calibration curve closely approximates the diagonal, indicating considerable consistency and high calibration quality. These results suggest that the nomogram has good predictive performance.</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Nomogram for predicting the risk of LF. LF, liver fibrosis.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-16-1514093-g005.tif"/>
</fig>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Nomogram model validation. <bold>(A)</bold> Receiver operating characteristic curve for evaluating the discriminative ability of the predictive model. <bold>(B)</bold> Calibration plot for assessing the agreement between predicted probabilities and actual outcomes of LF. LF, liver fibrosis.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-16-1514093-g006.tif"/>
</fig>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<p>This study systematically investigated the relationship between various IR indices and LF among patients with NAFLD. Our results demonstrated that indices such as TyG-WHtR, TyG-BMI, and HOMA-IR were significantly associated with the occurrence of LF in NAFLD patients, with TyG-WHtR emerging as the most prominent predictor. Even after adjusting for a range of covariates, TyG-WHtR maintained a strong correlation, suggesting its potential utility as an independent predictor of LF in this patient population. Additionally, we developed a predictive model for LF in NAFLD patients, which highlights the potential of these indices to be incorporated into routine clinical practice for risk assessment and early intervention.</p>
<p>The findings of this study have significant implications for clinical practice, particularly in the early identification and management of LF in patients with NAFLD. The strong association between TyG-WHtR and LF underscores its potential as a simple, non-invasive tool for risk stratification in routine clinical settings. The TyG-WHtR is a non-invasive, simple, low-cost index that only tests TG, FPG, WC, and height to produce results. Compared to liver puncture biopsy, CT, and MRI, TyG-WHtR offers a superior cost-benefit ratio. By incorporating TyG-WHtR and other IR indices into standard metabolic assessments, clinicians can more effectively identify high-risk patients who may benefit from closer monitoring or early intervention. The predictive nomogram developed in this study, which integrates AST, TyG, TyG-BMI, and diabetes, provides a practical and accessible tool for individualized risk assessment. This approach is particularly valuable in resource-limited settings where advanced diagnostic tools may not be readily available. Clinicians can use this nomogram to estimate fibrosis risk using readily available clinical data, enabling targeted therapies such as lifestyle modifications, weight management, and insulin-sensitizing treatments to slow or prevent fibrosis progression (<xref ref-type="bibr" rid="B33">33</xref>, <xref ref-type="bibr" rid="B34">34</xref>). These findings advocate for the integration of IR indices into routine clinical practice to enhance early detection, risk assessment, and personalized management of NAFLD-related fibrosis.</p>
<p>Our findings emphasize that obesity, as reflected by higher BMI and WC, and other metabolic factors, such as increased ALT, AST, GGT, and HbA1c levels, were more prevalent in NAFLD patients with LF compared to those without. The liver, an essential organ for metabolic processes, regulates the metabolism of both lipids and glucose. Chiang et&#xa0;al. reported that increased obesity and IR significantly contribute to the progression from NASH to fibrosis through the development of a profibrotic environment in the liver (<xref ref-type="bibr" rid="B35">35</xref>). Additionally, Koppe et&#xa0;al. reported that IR leads to widespread metabolic disturbances, resulting in a net effect of TG accumulation in the liver. Some patients may develop hepatocellular injury and LF, which can progress to cirrhosis (<xref ref-type="bibr" rid="B36">36</xref>). In comparison to previous research, Khamseh et&#xa0;al. identified TyG-WC, TyG-BMI, and TyG-WHtR as the best predictors of metabolic-associated fatty liver disease (<xref ref-type="bibr" rid="B37">37</xref>). Although their study did not establish a clear relationship between these indicators and LF, our research further confirms this link. We found that several IR markers, particularly TyG-WHtR, TyG-BMI, and HOMA-IR, were significantly elevated in LF patients, indicating that metabolic dysfunction plays a central role in the pathogenesis of the disease.</p>
<p>IR indices are not only widely applied in metabolic diseases such as type 2 diabetes and obesity but are also used in other conditions, including cardiovascular diseases, chronic kidney disease, and polycystic ovary syndrome, where they have also been shown to predict adverse outcomes (<xref ref-type="bibr" rid="B38">38</xref>&#x2013;<xref ref-type="bibr" rid="B41">41</xref>). Several studies have demonstrated that IR triggers lipotoxic pathways in the liver, leading to an accumulation of toxic lipid species such as ceramides and diacylglycerol, which further exacerbate liver injury and fibrogenesis (<xref ref-type="bibr" rid="B42">42</xref>&#x2013;<xref ref-type="bibr" rid="B44">44</xref>). TyG-WHtR showed a significant correlation with LF in this study. High levels of TyG-WHtR indicate severe visceral fat accumulation, which is a key factor in the progression of LF (<xref ref-type="bibr" rid="B45">45</xref>). This relationship is particularly significant in the context of NAFLD, where visceral fat plays a crucial role in metabolic dysfunction. The accumulation of visceral fat is linked to various metabolic complications, including increased liver fat content, which can exacerbate liver inflammation and fibrosis (<xref ref-type="bibr" rid="B46">46</xref>). Therefore, TyG-WHtR can serve as an independent predictor of LF risk in NAFLD patients, with potential clinical utility.</p>
<p>In recent years, the TyG index has been increasingly applied in liver diseases, especially in predicting the progression of NAFLD, showing a significant association with NAFLD and LF (<xref ref-type="bibr" rid="B37">37</xref>, <xref ref-type="bibr" rid="B47">47</xref>). To better evaluate the combined effects of IR and obesity, TyG-BMI integrates BMI, which reflects overall body weight status, making it more advantageous in assessing metabolic risk (<xref ref-type="bibr" rid="B22">22</xref>, <xref ref-type="bibr" rid="B48">48</xref>). Our study found that TyG-BMI levels were significantly elevated in LF patients, highlighting the core role of the synergy between obesity and IR in LF progression. Compared to single IR indicators, TyG-BMI provides a more comprehensive assessment of metabolic risk, offering important insights for early identification and intervention of LF. Additionally, in our study, we found that TyG-GGT is not an independent risk factor for LF in NAFLD patients. In contrast, Lei Jin et&#xa0;al. suggested that TyG-GGT has strong predictive accuracy for advanced LF in overweight or obese patients (<xref ref-type="bibr" rid="B25">25</xref>). However, their study was limited by a small sample size, a retrospective design that did not fully control for confounding factors, and a lack of strong statistical significance. Additionally, both METS-IR and HOMA-IR are strongly associated with LF, reflecting the relationship between IR and metabolic syndrome. Consistent with previous studies, our findings show that these indicators have strong predictive power for LF in NAFLD patients (<xref ref-type="bibr" rid="B49">49</xref>&#x2013;<xref ref-type="bibr" rid="B51">51</xref>). Additionally, HOMA-IR is considered an independent predictor of advanced LF in non-diabetic NAFLD patients (<xref ref-type="bibr" rid="B50">50</xref>). It accelerates fibrosis progression by promoting liver fat accumulation, inflammatory responses, and hepatic stellate cell activation (<xref ref-type="bibr" rid="B52">52</xref>). Therefore, METS-IR and HOMA-IR can serve as effective tools in clinical practice for assessing the risk of fibrosis in NAFLD patients. In addition to our findings, several studies from China have also reported a strong association between IR and the progression of NAFLD, as well as its correlation with fibrosis staging (<xref ref-type="bibr" rid="B47">47</xref>, <xref ref-type="bibr" rid="B53">53</xref>). By integrating these findings, our study contributes to a growing body of evidence that underscores the clinical utility of IR indices in predicting LF risk in NAFLD patients.</p>
<p>This study has several notable strengths. First, it focuses on a specific population of NAFLD patients with LF, making the results more targeted and clinically relevant, thereby providing important insights for the management of this high-risk group. Second, we systematically employed various analytical methods, including logistic regression and RCS, to comprehensively evaluate the relationship between multiple IR indices and LF, clarifying the predictive value of these indices. Finally, we developed a LF prediction model based on multivariable logistic regression and constructed a nomogram, providing a scientific and effective tool for early risk identification and individualized intervention in clinical practice, with high practical value.</p>
<p>Despite providing further evidence of the close relationship between IR and LF in NAFLD patients, our study has several limitations that warrant discussion. First, as this study is based on cross-sectional data, we cannot establish a causal relationship between IR and LF. Longitudinal studies are therefore needed to verify the causal role of IR in the progression of NAFLD. Second, the relatively small sample size and the fact that our cohort was limited to the U.S. population may limit the external validity of the findings, particularly across different ethnicities and regions. Future research should include larger cohorts from diverse populations to validate the applicability and predictive value of these IR indices in a broader context. Additionally, our study mainly focused on epidemiological associations and lacked an in-depth exploration of the underlying molecular mechanisms. Thus, future basic research should aim to elucidate how IR promotes LF through specific cellular signaling pathways, providing theoretical support for targeted interventions.</p>
</sec>
<sec id="s5" sec-type="conclusions">
<label>5</label>
<title>Conclusion</title>
<p>In summary, this study identifies TyG-WHtR, TyG-BMI, and other IR indices as independent predictors of LF in NAFLD patients, highlighting their clinical utility in early risk stratification. These findings underscore the importance of integrating metabolic indicators into routine clinical practice to enhance early detection and intervention. The predictive nomogram developed in this study offers a practical, non-invasive tool for clinicians to identify high-risk patients. By focusing on metabolic risk factors, clinicians can implement targeted therapies&#x2014;such as lifestyle modifications and insulin-sensitizing treatments&#x2014;to slow or prevent fibrosis progression, ultimately improving long-term patient outcomes.</p>
</sec>
</body>
<back>
<sec id="s6" sec-type="data-availability">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Material</bold>
</xref>. Further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>BY: Conceptualization, Data curation, Methodology, Writing &#x2013; original draft. MG: Methodology, Software, Writing &#x2013; original draft. XZ: Data curation, Resources, Validation, Writing &#x2013; original draft. YL: Methodology, Writing &#x2013; original draft. RL: Conceptualization, Writing &#x2013; original draft. HM: Resources, Supervision, Validation, Writing &#x2013; review &amp; editing. YW: Supervision, Writing &#x2013; review &amp; editing.</p>
</sec>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research, authorship, and/or publication of this article. This study was funded by the Guizhou Provincial Health Commission (2024GZWJKJXM0743), the Zunyi Municipal Natural Science Foundation (Zunyi Municipal Science and Technology Cooperation Program HZ (2024) No. 132), Guizhou Aerospace Hospital (gzhtyy-2023-12).</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>We are grateful to NHANES databases for providing the datasets essential for this research.</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="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>
</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>
<sec id="s13" 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.2025.1514093/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fendo.2025.1514093/full#supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.xlsx" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet"/>
</sec>
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