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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Endocrinol.</journal-id>
<journal-title-group>
<journal-title>Frontiers in Endocrinology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Endocrinol.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1664-2392</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
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<article-meta>
<article-id pub-id-type="doi">10.3389/fendo.2025.1735949</article-id>
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<article-categories>
<subj-group subj-group-type="heading">
<subject>Original Research</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Impact of the triglyceride&#x2013;glucose&#x2013;neutrophil-to-lymphocyte ratio and the C-reactive protein&#x2013;TyG index on cardio-renal disease in patients with type 2 diabetes</article-title>
</title-group>
<contrib-group>
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<name><surname>Guo</surname><given-names>Ying</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="author-notes" rid="fn003"><sup>&#x2020;</sup></xref>
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<contrib contrib-type="author" equal-contrib="yes">
<name><surname>Jia</surname><given-names>Hongjian</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
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<name><surname>Wang</surname><given-names>Yan</given-names></name>
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<contrib contrib-type="author">
<name><surname>Li</surname><given-names>Mengyan</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
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<name><surname>Chen</surname><given-names>Tong</given-names></name>
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<contrib contrib-type="author">
<name><surname>Diao</surname><given-names>Zhendong</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
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<name><surname>Li</surname><given-names>Xicheng</given-names></name>
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<contrib contrib-type="author" corresp="yes">
<name><surname>Zhang</surname><given-names>Jietao</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>*</sup></xref>
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<aff id="aff1"><label>1</label><institution>The Affiliated Hospital of Jining Medical University</institution>, <city>Jining</city>, <state>Shandong</state>,&#xa0;<country country="cn">China</country></aff>
<aff id="aff2"><label>2</label><institution>The Affiliated Hospital of Qingdao University</institution>, <city>Qingdao</city>, <state>Shandong</state>,&#xa0;<country country="cn">China</country></aff>
<aff id="aff3"><label>3</label><institution>Shandong Second Medical University</institution>, <city>Weifang</city>, <state>Shandong</state>,&#xa0;<country country="cn">China</country></aff>
<author-notes>
<corresp id="c001"><label>*</label>Correspondence: Jietao Zhang, <email xlink:href="mailto:qdszjt163@163.com">qdszjt163@163.com</email></corresp>
<fn fn-type="equal" id="fn003">
<label>&#x2020;</label>
<p>These authors have contributed equally to this work and share first authorship</p></fn>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2025-12-12">
<day>12</day>
<month>12</month>
<year>2025</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2025</year>
</pub-date>
<volume>16</volume>
<elocation-id>1735949</elocation-id>
<history>
<date date-type="received">
<day>30</day>
<month>10</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>27</day>
<month>11</month>
<year>2025</year>
</date>
<date date-type="rev-recd">
<day>24</day>
<month>11</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Guo, Jia, Wang, Li, Chen, Diao, Li and Zhang.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Guo, Jia, Wang, Li, Chen, Diao, Li and Zhang</copyright-holder>
<license>
<ali:license_ref start_date="2025-12-12">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. 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.</license-p>
</license>
</permissions>
<abstract>
<sec>
<title>Background</title>
<p>Insulin resistance and systemic inflammation jointly drive deterioration of cardiorenal-metabolic function; however, how composite indices reflect disease severity remains unclear. We compared the triglyceride&#x2013;glucose&#x2013;neutrophil-to-lymphocyte ratio (TyG-NLR) and a C-reactive protein&#x2013;TyG&#x2013;based index (CTI) to examine their associations with severity outcomes in hospitalized adults with type 2 diabetes.</p>
</sec>
<sec>
<title>Methods</title>
<p>We conducted a retrospective study of hospitalized adults with type 2 diabetes at the Affiliated Hospital of Qingdao University, classifying cardiorenal disease into four severity levels. Using ordinal logistic regression, we evaluated the independent associations of the C-reactive protein&#x2013;TyG&#x2013;based index (CTI) and the triglyceride&#x2013;glucose neutrophil-to-lymphocyte ratio (TyG-NLR) with severity, performed trend testing (p-trend), and explored potential nonlinearity with restricted cubic splines (RCS). For robustness, we additionally fitted a partial proportional odds model (VGAM framework) and a multinomial logistic model. Relative to a base covariate model, we assessed the incremental value of these indices in terms of overall model performance (AIC, BIC, Nagelkerke R&#xb2;, likelihood-ratio test), discrimination (AUC), calibration (calibration plot, slope, and calibration-in-the-large [CITL]), and clinical net benefit via decision-curve analysis (DCA).</p>
</sec>
<sec>
<title>Results</title>
<p>A total of 2, 885 patients were included. In multivariable ordinal logistic regression analysis, both higher quartiles of CTI and TyG-NLR were significantly associated with increased disease severity (CTI_Q4 vs Q1: OR = 1.59, 95% CI 1.21&#x2013;2.09; TyG-NLR_Q4 vs Q1: OR = 2.14, 95% CI 1.64&#x2013;2.78; both P&lt; 0.001). The Brant test indicated partial violation of the proportional odds assumption; sensitivity analysis using a VGAM-based partial proportional odds model yielded consistent results across thresholds. Trend tests revealed a significant linear increase in disease severity across quartiles for both indices (all P for trend &lt; 0.001).Restricted cubic spline (RCS) analysis showed a nonlinear relationship between TyG-NLR and disease severity (LRT &#x3c7;&#xb2;= 34.438, P &lt; 0.001), with the risk plateauing beyond a TyG-NLR value of approximately 16.64; in contrast, CTI exhibited an approximately linear association (LRT &#x3c7;&#xb2; = 1.486, P = 0.476). Regarding model performance, the TyG-NLR model achieved the best overall fit (AIC = 4367, BIC = 4488, Nagelkerke R&#xb2; = 0.245, LR &#x3c7;&#xb2; = 50.8, P = 5.3 &#xd7; 10<sup>-</sup>&#xb9;&#xb9;), while CTI yielded moderate improvement (LR &#x3c7;&#xb2; = 12.3, P = 0.006). In terms of discrimination, the TyG-NLR model attained the highest AUC of 0.680 (95% CI 0.668&#x2013;0.693) and the lowest Brier score of 0.476. Calibration curves demonstrated good agreement at all thresholds (&#x2265;1, &#x2265;2, &#x2265;3), with the TyG-NLR model showing the closest alignment with the ideal line.Decision curve analysis (DCA) indicated that TyG-NLR provided the greatest net clinical benefit across a wide range of threshold probabilities (0.05&#x2013;0.35), followed by CTI, while the incremental value of TyG alone was minimal. Both VGAM and multinomial logistic models yielded consistent directions of association, supporting the robustness of these findings.</p>
</sec>
<sec>
<title>Conclusions</title>
<p>In adults with type 2 diabetes, both CTI and TyG-NLR were independently associated with cardiorenal disease severity.Notably, TyG-NLR demonstrated a steeper risk gradient and modest improvements in discrimination and calibration, and it yielded slightly higher net clinical benefit across clinically relevant decision thresholds. These findings suggest potential clinical utility for risk stratification, although the overall predictive gain was moderate and requires further validation.</p>
</sec>
</abstract>
<kwd-group>
<kwd>TyG-NLR</kwd>
<kwd>CTI</kwd>
<kwd>insulin resistance</kwd>
<kwd>systemic inflammation</kwd>
<kwd>ordinal severity</kwd>
<kwd>cardio-renal-metabolic disease</kwd>
</kwd-group>
<funding-group>
<funding-statement>The author(s) declared that financial support was received for&#xa0;this work and/or its publication. Jining Municipal Key Research and Development Program (Soft Science) (Grant No. 2023JNZC157): &#x201c;Construction and Practice of a Big-Data-Based Follow-up Data Platform for First-Episode Acute Myocardial Infarction Patients.</funding-statement>
</funding-group>
<counts>
<fig-count count="2"/>
<table-count count="7"/>
<equation-count count="3"/>
<ref-count count="37"/>
<page-count count="12"/>
<word-count count="5673"/>
</counts>
<custom-meta-group>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Cardiovascular Endocrinology</meta-value>
</custom-meta>
</custom-meta-group>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>Cardiovascular disease (CVD) is one of the leading causes of mortality worldwide, with an incidence that continues to rise. This not only poses a serious threat to individuals&#x2019; health and quality of life but also presents a major challenge to public health systems (<xref ref-type="bibr" rid="B1">1</xref>&#x2013;<xref ref-type="bibr" rid="B3">3</xref>). Its etiology is multifactorial, encompassing lifestyle behaviors, metabolic abnormalities, genetic predisposition, and underlying comorbidities (<xref ref-type="bibr" rid="B4">4</xref>&#x2013;<xref ref-type="bibr" rid="B7">7</xref>). Cardiovascular disease and kidney disease are closely interrelated (<xref ref-type="bibr" rid="B8">8</xref>, <xref ref-type="bibr" rid="B9">9</xref>), They exhibit a high degree of interdependence; cardio-renal interactions can precipitate a vicious spiral of organ dysfunction, marked by stepwise worsening of disease severity and a sharp increase in the risk of adverse outcomes. Accordingly, the American Heart Association (AHA) has integrated the cardiovascular and renal domains and introduced the concept of cardiovascular&#x2013;kidney&#x2013;metabolic (CKM) syndrome (<xref ref-type="bibr" rid="B10">10</xref>), The introduction of this concept has played an exceptional role in preventing disease onset, mitigating or slowing disease progression, and improving clinical outcomes. It underscores the necessity of investigating cardiovascular disease in conjunction with renal and metabolic disorders.</p>
<p>The triglyceride&#x2013;glucose index (TyG) is widely regarded as a simple surrogate marker of insulin resistance (<xref ref-type="bibr" rid="B11">11</xref>); Research on the TyG index in cardiovascular and cerebrovascular diseases has expanded rapidly in recent years, confirming its important role in disease onset, progression, and prognosis (<xref ref-type="bibr" rid="B12">12</xref>&#x2013;<xref ref-type="bibr" rid="B14">14</xref>). Compared with the euglycemic&#x2013;hyperinsulinemic clamp or the homeostatic model assessment of insulin resistance (HOMA-IR), the TyG index can be calculated in virtually all clinical settings at minimal additional cost, and it has been closely associated with the incidence of cardiovascular and renal events. Therefore, the TyG index and TyG-based composite indicators offer a practical approach for detecting subclinical insulin resistance not only in patients with established type 2 diabetes, but also in apparently non-diabetic individuals who may already carry an excessive cardio-renal risk burden.The neutrophil-to-lymphocyte ratio (NLR) reflects systemic inflammation and immune status (<xref ref-type="bibr" rid="B15">15</xref>). The TyG-NLR, formed by the combination of the two, holds significant importance for evaluating metabolic disorders and inflammatory responses. Several studies have shown that metabolic imbalance and inflammatory responses act in concert to exacerbate atherosclerosis, myocardial remodeling, and renal injury (<xref ref-type="bibr" rid="B16">16</xref>). Research on composite indices incorporating the TyG index has deepened in recent years. Combinations of TyG with measures such as waist circumference (WC), body mass index (BMI), and waist-to-height ratio (WHtR) are widely used to predict and evaluate the onset and prognosis of cardiovascular disease, and these combined indices provide greater discriminative value than the TyG index alone. The C-reactive protein&#x2013;triglyceride&#x2013;glucose index (CTI) integrates information on lipid status, glucose metabolism, and inflammation, and shows potential predictive value for cardiovascular events and deterioration of renal function (<xref ref-type="bibr" rid="B17">17</xref>, <xref ref-type="bibr" rid="B18">18</xref>).</p>
<p>Most existing studies have focused on binary outcomes (&#x201c;presence or absence&#x201d; of disease), while investigations addressing the ordered progression of disease severity remain limited. Moreover, comparative studies of the two composite indices&#x2014;TyG-NLR and CTI&#x2014;within the same population, using *disease severity* as a shared clinical endpoint, are scarce. This gap has hindered their broader application in practical risk stratification and model enhancement evaluation.</p>
<p>Based on this evidence gap, the present study aims to systematically assess the associations of TyG-NLR and CTI with the severity of cardiorenal disease in a real-world clinical population. By employing &#x201c;Severity of Disease&#x201d; as an outcome more closely aligned with clinical decision-making, this study seeks to validate and compare the value of these two easily accessible composite indices in cardiorenal risk assessment, thereby laying a methodological and evidential foundation for future multicenter and population-based studies.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Methods</title>
<sec id="s2_1">
<label>2.1</label>
<title>Study design and population</title>
<p>Data for this study were obtained from the electronic medical records (EMR) system of the Affiliated Hospital of Qingdao University. We identified hospitalized adults with type 2 diabetes mellitus (T2DM) who met the following inclusion criteria: (1) age &#x2265;18 years; (2) a confirmed diagnosis that included diabetes, cardiovascular disease, and renal disease; (3) complete clinical and laboratory data; (4) non-pregnant status; and (5) absence of malignancy or other cachectic conditions.</p>
<p>From the EMR, we extracted demographic information (age, sex, body mass index [BMI]); medical history (hypertension, smoking, alcohol consumption); laboratory parameters (fasting plasma glucose, lipid profile, uric acid, albumin, inflammatory markers, hemoglobin); and medication use (statins, insulin, sodium&#x2013;glucose cotransporter-2 inhibitors [SGLT2i]).</p>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Variables and outcome definitions</title>
<p>The study outcome was &#x201c;Severity of Disease&#x201d; defined as an ordinal variable representing the extent of cardiorenal involvement: 0 = no cardiovascular disease (CVD) or chronic kidney disease (CKD); 1 = CKD only; 2 = CVD only; 3 = coexistence of CVD and CKD.</p>
<p>Covariates included sex, age, smoking and alcohol status, body mass index (BMI), use of statins and sodium&#x2013;glucose cotransporter-2 inhibitors (SGLT2i), hypertension, insulin use, total cholesterol (TC), low-density lipoprotein cholesterol (LDL-C), high-density lipoprotein cholesterol (HDL-C), albumin, uric acid (UA), and hemoglobin.</p>
<p>Inflammation&#x2013;metabolic composite indices are calculated as follows:</p>
<disp-formula>
<mml:math display="block" id="M1"><mml:mrow><mml:mtext>TYG&#x2009;index</mml:mtext><mml:mo>=</mml:mo><mml:mtext>ln</mml:mtext><mml:mo stretchy="false">[</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mtext>TG</mml:mtext><mml:mo stretchy="false">(</mml:mo><mml:mtext>mg</mml:mtext><mml:mo stretchy="false">/</mml:mo><mml:mtext>dL</mml:mtext><mml:mo stretchy="false">)</mml:mo><mml:mo>&#xd7;</mml:mo><mml:mtext>FPG</mml:mtext><mml:mo stretchy="false">(</mml:mo><mml:mtext>mg</mml:mtext><mml:mo stretchy="false">/</mml:mo><mml:mtext>dL</mml:mtext><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">/</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy="false">]</mml:mo></mml:mrow></mml:math>
</disp-formula>
<disp-formula>
<mml:math display="block" id="M2"><mml:mrow><mml:mtext>NLR</mml:mtext><mml:mo>=</mml:mo><mml:mtext>neutrophil&#x2009;count</mml:mtext><mml:mo stretchy="false">/</mml:mo><mml:mtext>lymphocyte&#x2009;count</mml:mtext></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>NLR</mml:mtext><mml:mo>=</mml:mo><mml:mtext>TyG</mml:mtext><mml:mo>&#xd7;</mml:mo><mml:mtext>NLR</mml:mtext></mml:mrow></mml:math>
</disp-formula>
<p>For comparability, the continuous exposures (CTI and TyG-NLR) were analyzed both in their original continuous form and by quartiles (Q1&#x2013;Q4). Where appropriate, routine biochemical variables with marked skewness were log-transformed or standardized as z-scores.</p>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Statistical analysis</title>
<sec id="s2_3_1">
<label>2.3.1</label>
<title>Descriptive analysis</title>
<p>Normality was assessed using the Shapiro&#x2013;Wilk test. Continuous variables were expressed as mean &#xb1; standard deviation (SD) for normally distributed data or median (interquartile range) for skewed data. Between-group differences were evaluated using one-way analysis of variance (ANOVA) or the Kruskal&#x2013;Wallis test, respectively. Categorical variables were presented as frequencies and percentages and compared using the chi-square or Fisher&#x2019;s exact test. Multicollinearity was tested using the variance inflation factor (VIF &lt; 5 as acceptable).</p>
</sec>
<sec id="s2_3_2">
<label>2.3.2</label>
<title>Main regression models</title>
<p>The association between each composite index and disease severity was first examined using the proportional-odds (PO) ordinal logistic regression model, with full adjustment for covariates. The Brant test was applied to verify the PO assumption. When partial violation occurred, a partial proportional-odds model (fitted with the VGAM package) was used, allowing threshold-specific coefficients. Sensitivity analyses included multinomial logistic regression to confirm consistency in effect direction and magnitude.</p>
</sec>
<sec id="s2_3_3">
<label>2.3.3</label>
<title>Trend and dose&#x2013;response analysis</title>
<p>For quartile-based exposures, linear trends across categories were tested using both: the median value of each quartile as a continuous variable (main analysis), and an ordinal score (<xref ref-type="bibr" rid="B1">1</xref>&#x2013;<xref ref-type="bibr" rid="B4">4</xref>) assigned to quartiles (sensitivity analysis).</p>
<p>Significance was evaluated using Wald and likelihood ratio tests (p-trend).</p>
<p>For continuous exposures, restricted cubic splines (RCS) with four knots at empirical percentiles were used to explore dose&#x2013;response and potential nonlinearity. Nonlinearity was assessed using likelihood ratio tests comparing spline and linear models. Odds ratios (ORs) and 95% confidence intervals (CIs) were computed for the 10th, 25th, 50th, 75th, and 90th percentiles.</p>
</sec>
<sec id="s2_3_4">
<label>2.3.4</label>
<title>Model performance evaluation</title>
<p>To assess incremental predictive value, model fit (AIC, BIC, Nagelkerke R&#xb2;, likelihood ratio &#x3c7;&#xb2;), discrimination (area under the curve [AUC]), and calibration (calibration plots, slope, and calibration-in-the-large [CITL]) were compared between base and augmented models.</p>
<p>Decision curve analysis (DCA) was performed to quantify the net clinical benefit across threshold probabilities ranging from 0.05 to 0.35.</p>
</sec>
<sec id="s2_3_5">
<label>2.3.5</label>
<title>Missing data and significance thresholds</title>
<p>A complete-case approach was applied without imputation. All statistical tests were two-sided, and <italic>P</italic> &lt; 0.05 was considered statistically significant.</p>
</sec>
<sec id="s2_3_6">
<label>2.3.6</label>
<title>Software</title>
<p>All analyses were performed using R version 4.5.0. Packages used included rms, ordinal, MASS, VGAM, brant, pROC, boot, and dcurves (or rmda).</p>
</sec>
</sec>
<sec id="s2_4">
<label>2.4</label>
<title>Ethical considerations</title>
<p>This research protocol has been approved by the Affiliated Hospital of Qingdao University. As this study is retrospective in nature, informed consent is not required. The research complies with the Declaration of Helsinki.</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 characteristics</title>
<p>This study included 2, 885 participants, of whom 1, 798 (62.32%) had a Severity of Disease score of 0, 382 (13.24%) had a score of 1, 529 (18.34%) had a score of 2, and 176 (6.10%) had a score of 3. Statistically significant differences were observed between the four groups for Age, BMI, Total Cholesterol (TC), Albumin, Low-Density Lipoprotein Cholesterol (LDL-C), Uric Acid (UA), Haemoglobin, TyG Index, Neutrophil-to-Lymphocyte Ratio (NLR), C-reactive protein-TyG Index (CTI), Statin Use, Hypertension, and Insulin (P &lt; 0.05). Conversely, no statistically significant differences were found for High-Density Lipoprotein Cholesterol (HDL-C), Sex, Smoking Status, Alcohol Consumption, or Sodium&#x2013;glucose cotransporter-2 inhibitor (SGLT2i) Use (P &gt; 0.05). See <xref ref-type="table" rid="T1"><bold>Table&#xa0;1</bold></xref> for details.</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Baseline characteristics of hospitalised adult patients with type 2 diabetes in the classification of cardiovascular and renal disease severity.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Variables</th>
<th valign="middle" align="left">Total (n = 2885)</th>
<th valign="middle" align="left">0 (n = 1798)</th>
<th valign="middle" align="left">1 (n = 382)</th>
<th valign="middle" align="left">2 (n = 529)</th>
<th valign="middle" align="left">3 (n = 176)</th>
<th valign="middle" align="left">Statistic</th>
<th valign="middle" align="left">P-value</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">age, Mean &#xb1; SD</td>
<td valign="middle" align="left">64.39 &#xb1; 12.17</td>
<td valign="middle" align="left">63.08 &#xb1; 11.72</td>
<td valign="middle" align="left">63.91 &#xb1; 14.32</td>
<td valign="middle" align="left">66.37 &#xb1; 10.58</td>
<td valign="middle" align="left">72.81 &#xb1; 12.06</td>
<td valign="middle" align="left">F=41.52</td>
<td valign="middle" align="left">&lt;.001</td>
</tr>
<tr>
<td valign="middle" align="left">BMI, Mean &#xb1; SD</td>
<td valign="middle" align="left">26.74 &#xb1; 43.83</td>
<td valign="middle" align="left">26.07 &#xb1; 13.87</td>
<td valign="middle" align="left">25.99 &#xb1; 10.30</td>
<td valign="middle" align="left">25.57 &#xb1; 7.89</td>
<td valign="middle" align="left">39.37 &#xb1; 174.58</td>
<td valign="middle" align="left">F=4.38</td>
<td valign="middle" align="left">0.004</td>
</tr>
<tr>
<td valign="middle" align="left">TC, Mean &#xb1; SD</td>
<td valign="middle" align="left">4.18 &#xb1; 1.51</td>
<td valign="middle" align="left">4.12 &#xb1; 1.34</td>
<td valign="middle" align="left">4.67 &#xb1; 2.11</td>
<td valign="middle" align="left">4.05 &#xb1; 1.27</td>
<td valign="middle" align="left">4.23 &#xb1; 2.01</td>
<td valign="middle" align="left">F=15.86</td>
<td valign="middle" align="left">&lt;.001</td>
</tr>
<tr>
<td valign="middle" align="left">Albumin, Mean &#xb1; SD</td>
<td valign="middle" align="left">45.66 &#xb1; 10.34</td>
<td valign="middle" align="left">46.96 &#xb1; 9.80</td>
<td valign="middle" align="left">41.74 &#xb1; 12.05</td>
<td valign="middle" align="left">45.24 &#xb1; 9.50</td>
<td valign="middle" align="left">42.14 &#xb1; 11.02</td>
<td valign="middle" align="left">F=35.87</td>
<td valign="middle" align="left">&lt;.001</td>
</tr>
<tr>
<td valign="middle" align="left">LDL_C, Mean &#xb1; SD</td>
<td valign="middle" align="left">2.50 &#xb1; 1.03</td>
<td valign="middle" align="left">2.45 &#xb1; 0.89</td>
<td valign="middle" align="left">2.87 &#xb1; 1.52</td>
<td valign="middle" align="left">2.39 &#xb1; 0.86</td>
<td valign="middle" align="left">2.50 &#xb1; 1.39</td>
<td valign="middle" align="left">F=19.88</td>
<td valign="middle" align="left">&lt;.001</td>
</tr>
<tr>
<td valign="middle" align="left">UA, Mean &#xb1; SD</td>
<td valign="middle" align="left">334.02 &#xb1; 109.52</td>
<td valign="middle" align="left">314.17 &#xb1; 94.28</td>
<td valign="middle" align="left">395.59 &#xb1; 121.99</td>
<td valign="middle" align="left">324.93 &#xb1; 107.02</td>
<td valign="middle" align="left">433.38 &#xb1; 131.53</td>
<td valign="middle" align="left">F=120.64</td>
<td valign="middle" align="left">&lt;.001</td>
</tr>
<tr>
<td valign="middle" align="left">HDL_C, Mean &#xb1; SD</td>
<td valign="middle" align="left">1.21 &#xb1; 0.34</td>
<td valign="middle" align="left">1.22 &#xb1; 0.34</td>
<td valign="middle" align="left">1.20 &#xb1; 0.38</td>
<td valign="middle" align="left">1.19 &#xb1; 0.32</td>
<td valign="middle" align="left">1.17 &#xb1; 0.33</td>
<td valign="middle" align="left">F=1.71</td>
<td valign="middle" align="left">0.162</td>
</tr>
<tr>
<td valign="middle" align="left">Hemoglobin, Mean &#xb1; SD</td>
<td valign="middle" align="left">124.33 &#xb1; 30.16</td>
<td valign="middle" align="left">127.97 &#xb1; 26.65</td>
<td valign="middle" align="left">108.51 &#xb1; 39.88</td>
<td valign="middle" align="left">129.18 &#xb1; 27.94</td>
<td valign="middle" align="left">106.80 &#xb1; 28.53</td>
<td valign="middle" align="left">F=73.30</td>
<td valign="middle" align="left">&lt;.001</td>
</tr>
<tr>
<td valign="middle" align="left">TyG NLR Q, n(%)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left">&#x3c7;&#xb2;=161.67</td>
<td valign="middle" align="left">&lt;.001</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003; Q1</td>
<td valign="middle" align="left">722 (25.03)</td>
<td valign="middle" align="left">528 (29.37)</td>
<td valign="middle" align="left">61 (15.97)</td>
<td valign="middle" align="left">119 (22.50)</td>
<td valign="middle" align="left">14 (7.95)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Q2</td>
<td valign="middle" align="left">721 (24.99)</td>
<td valign="middle" align="left">492 (27.36)</td>
<td valign="middle" align="left">83 (21.73)</td>
<td valign="middle" align="left">123 (23.25)</td>
<td valign="middle" align="left">23 (13.07)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Q3</td>
<td valign="middle" align="left">721 (24.99)</td>
<td valign="middle" align="left">418 (23.25)</td>
<td valign="middle" align="left">85 (22.25)</td>
<td valign="middle" align="left">160 (30.25)</td>
<td valign="middle" align="left">58 (32.95)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Q4</td>
<td valign="middle" align="left">721 (24.99)</td>
<td valign="middle" align="left">360 (20.02)</td>
<td valign="middle" align="left">153 (40.05)</td>
<td valign="middle" align="left">127 (24.01)</td>
<td valign="middle" align="left">81 (46.02)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
</tr>
<tr>
<td valign="middle" align="left">CTI Q, n(%)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left">&#x3c7;&#xb2;=141.24</td>
<td valign="middle" align="left">&lt;.001</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Q1</td>
<td valign="middle" align="left">722 (25.03)</td>
<td valign="middle" align="left">532 (29.59)</td>
<td valign="middle" align="left">53 (13.87)</td>
<td valign="middle" align="left">115 (21.74)</td>
<td valign="middle" align="left">22 (12.50)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Q2</td>
<td valign="middle" align="left">721 (24.99)</td>
<td valign="middle" align="left">463 (25.75)</td>
<td valign="middle" align="left">67 (17.54)</td>
<td valign="middle" align="left">157 (29.68)</td>
<td valign="middle" align="left">34 (19.32)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Q3</td>
<td valign="middle" align="left">721 (24.99)</td>
<td valign="middle" align="left">425 (23.64)</td>
<td valign="middle" align="left">105 (27.49)</td>
<td valign="middle" align="left">145 (27.41)</td>
<td valign="middle" align="left">46 (26.14)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Q4</td>
<td valign="middle" align="left">721 (24.99)</td>
<td valign="middle" align="left">378 (21.02)</td>
<td valign="middle" align="left">157 (41.10)</td>
<td valign="middle" align="left">112 (21.17)</td>
<td valign="middle" align="left">74 (42.05)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
</tr>
<tr>
<td valign="middle" align="left">Sex, n(%)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left">&#x3c7;&#xb2;=2.84</td>
<td valign="middle" align="left">0.417</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;1</td>
<td valign="middle" align="left">1293 (44.82)</td>
<td valign="middle" align="left">818 (45.49)</td>
<td valign="middle" align="left">156 (40.84)</td>
<td valign="middle" align="left">239 (45.18)</td>
<td valign="middle" align="left">80 (45.45)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;2</td>
<td valign="middle" align="left">1592 (55.18)</td>
<td valign="middle" align="left">980 (54.51)</td>
<td valign="middle" align="left">226 (59.16)</td>
<td valign="middle" align="left">290 (54.82)</td>
<td valign="middle" align="left">96 (54.55)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
</tr>
<tr>
<td valign="middle" align="left">Smoke, n(%)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left">&#x3c7;&#xb2;=1.31</td>
<td valign="middle" align="left">0.728</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;0</td>
<td valign="middle" align="left">2118 (73.72)</td>
<td valign="middle" align="left">1328 (73.94)</td>
<td valign="middle" align="left">282 (75.20)</td>
<td valign="middle" align="left">380 (71.97)</td>
<td valign="middle" align="left">128 (73.56)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;1</td>
<td valign="middle" align="left">755 (26.28)</td>
<td valign="middle" align="left">468 (26.06)</td>
<td valign="middle" align="left">93 (24.80)</td>
<td valign="middle" align="left">148 (28.03)</td>
<td valign="middle" align="left">46 (26.44)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
</tr>
<tr>
<td valign="middle" align="left">Drink, n(%)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left">&#x3c7;&#xb2;=7.48</td>
<td valign="middle" align="left">0.058</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;0</td>
<td valign="middle" align="left">2212 (77.02)</td>
<td valign="middle" align="left">1360 (75.85)</td>
<td valign="middle" align="left">304 (80.64)</td>
<td valign="middle" align="left">404 (76.52)</td>
<td valign="middle" align="left">144 (82.76)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;1</td>
<td valign="middle" align="left">660 (22.98)</td>
<td valign="middle" align="left">433 (24.15)</td>
<td valign="middle" align="left">73 (19.36)</td>
<td valign="middle" align="left">124 (23.48)</td>
<td valign="middle" align="left">30 (17.24)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
</tr>
<tr>
<td valign="middle" align="left">Statin, n(%)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left">&#x3c7;&#xb2;=107.94</td>
<td valign="middle" align="left">&lt;.001</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;0</td>
<td valign="middle" align="left">1514 (52.48)</td>
<td valign="middle" align="left">1027 (57.12)</td>
<td valign="middle" align="left">235 (61.52)</td>
<td valign="middle" align="left">194 (36.67)</td>
<td valign="middle" align="left">58 (32.95)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;1</td>
<td valign="middle" align="left">1371 (47.52)</td>
<td valign="middle" align="left">771 (42.88)</td>
<td valign="middle" align="left">147 (38.48)</td>
<td valign="middle" align="left">335 (63.33)</td>
<td valign="middle" align="left">118 (67.05)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
</tr>
<tr>
<td valign="middle" align="left">SGLT2i, n(%)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left">&#x3c7;&#xb2;=1.76</td>
<td valign="middle" align="left">0.623</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;0</td>
<td valign="middle" align="left">2810 (97.40)</td>
<td valign="middle" align="left">1751 (97.39)</td>
<td valign="middle" align="left">369 (96.60)</td>
<td valign="middle" align="left">517 (97.73)</td>
<td valign="middle" align="left">173 (98.30)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;1</td>
<td valign="middle" align="left">75 (2.60)</td>
<td valign="middle" align="left">47 (2.61)</td>
<td valign="middle" align="left">13 (3.40)</td>
<td valign="middle" align="left">12 (2.27)</td>
<td valign="middle" align="left">3 (1.70)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
</tr>
<tr>
<td valign="middle" align="left">Hypertension, n(%)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left">&#x3c7;&#xb2;=408.89</td>
<td valign="middle" align="left">&lt;.001</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;0</td>
<td valign="middle" align="left">2532 (87.76)</td>
<td valign="middle" align="left">1697 (94.38)</td>
<td valign="middle" align="left">362 (94.76)</td>
<td valign="middle" align="left">378 (71.46)</td>
<td valign="middle" align="left">95 (53.98)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;1</td>
<td valign="middle" align="left">353 (12.24)</td>
<td valign="middle" align="left">101 (5.62)</td>
<td valign="middle" align="left">20 (5.24)</td>
<td valign="middle" align="left">151 (28.54)</td>
<td valign="middle" align="left">81 (46.02)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
</tr>
<tr>
<td valign="middle" align="left">Insulin, n(%)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
<td valign="middle" align="left">&#x3c7;&#xb2;=40.60</td>
<td valign="middle" align="left">&lt;.001</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;0</td>
<td valign="middle" align="left">2481 (86.00)</td>
<td valign="middle" align="left">1568 (87.21)</td>
<td valign="middle" align="left">299 (78.27)</td>
<td valign="middle" align="left">478 (90.36)</td>
<td valign="middle" align="left">136 (77.27)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;1</td>
<td valign="middle" align="left">404 (14.00)</td>
<td valign="middle" align="left">230 (12.79)</td>
<td valign="middle" align="left">83 (21.73)</td>
<td valign="middle" align="left">51 (9.64)</td>
<td valign="middle" align="left">40 (22.73)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="left"/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>F, ANOVA; &#x3c7;&#xb2;, Chi-square test; SD, standard deviation.</p></fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Ordinal logistic regression and proportional odds assumption</title>
<p>When the CTI was categorized into quartiles (Q1 as the reference group) and adjusted for covariates including sex, age, smoking, alcohol consumption, BMI, statin use, SGLT2i use, hypertension, insulin use, total cholesterol, albumin, LDL-C, HDL-C, uric acid, and hemoglobin, CTI was found to be significantly positively associated with the Severity of Disease (<xref ref-type="table" rid="T2"><bold>Table&#xa0;2</bold></xref>).As CTI increased, the risk of higher disease severity rose progressively:Q2 vs Q1: OR = 1.28 (95% CI: 0.99&#x2013;1.67, P = 0.061);Q3 vs Q1: OR = 1.46 (95% CI: 1.12&#x2013;1.91, P = 0.005);Q4 vs Q1: OR = 1.59 (95% CI: 1.21&#x2013;2.09, P &lt; 0.001).</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Multivariable ordinal logistic regression analysis for the association between CTI quartiles and cardiorenal disease severity.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Variables</th>
<th valign="middle" align="center">Level</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">CTI</td>
<td valign="middle" align="center">Q2</td>
<td valign="middle" align="center">1.28 (0.99, 1.67)</td>
<td valign="middle" align="center">0.061</td>
</tr>
<tr>
<td valign="middle" align="center">CTI</td>
<td valign="middle" align="center">Q3</td>
<td valign="middle" align="center">1.46 (1.12, 1.91)</td>
<td valign="middle" align="center">0.005</td>
</tr>
<tr>
<td valign="middle" align="center">CTI</td>
<td valign="middle" align="center">Q4</td>
<td valign="middle" align="center">1.59 (1.21, 2.09)</td>
<td valign="middle" align="center">&lt; 0.001</td>
</tr>
<tr>
<td valign="middle" align="center">sex</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">1.12 (0.91, 1.39)</td>
<td valign="middle" align="center">0.286</td>
</tr>
<tr>
<td valign="middle" align="center">age</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">1.03 (1.02, 1.04)</td>
<td valign="middle" align="center">&lt; 0.001</td>
</tr>
<tr>
<td valign="middle" align="center">Smoke</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">1.01 (0.76, 1.33)</td>
<td valign="middle" align="center">0.965</td>
</tr>
<tr>
<td valign="middle" align="center">Drink</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.82 (0.61, 1.09)</td>
<td valign="middle" align="center">0.166</td>
</tr>
<tr>
<td valign="middle" align="center">BMI</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">1.00 (1.00, 1.00)</td>
<td valign="middle" align="center">0.063</td>
</tr>
<tr>
<td valign="middle" align="center">Statin</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">1.58 (1.31, 1.90)</td>
<td valign="middle" align="center">&lt; 0.001</td>
</tr>
<tr>
<td valign="middle" align="center">SGLT2i</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">1.06 (0.61, 1.85)</td>
<td valign="middle" align="center">0.827</td>
</tr>
<tr>
<td valign="middle" align="center">Hypertension</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">5.92 (4.54, 7.72)</td>
<td valign="middle" align="center">&lt; 0.001</td>
</tr>
<tr>
<td valign="middle" align="center">Insulin</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.79 (0.61, 1.02)</td>
<td valign="middle" align="center">0.071</td>
</tr>
<tr>
<td valign="middle" align="center">TC</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.96 (0.86, 1.07)</td>
<td valign="middle" align="center">0.457</td>
</tr>
<tr>
<td valign="middle" align="center">Albumin</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.97 (0.96, 0.98)</td>
<td valign="middle" align="center">&lt; 0.001</td>
</tr>
<tr>
<td valign="middle" align="center">LDL_C</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">1.05 (0.91, 1.22)</td>
<td valign="middle" align="center">0.510</td>
</tr>
<tr>
<td valign="middle" align="center">UA</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">1.00 (1.00, 1.01)</td>
<td valign="middle" align="center">&lt; 0.001</td>
</tr>
<tr>
<td valign="middle" align="center">HDL_C</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">1.17 (0.86, 1.57)</td>
<td valign="middle" align="center">0.315</td>
</tr>
<tr>
<td valign="middle" align="center">Hemoglobin</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.99 (0.99, 1.00)</td>
<td valign="middle" align="center">&lt; 0.001</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Using the same approach, TyG-NLR showed a significant positive association with disease severity (<xref ref-type="table" rid="T3"><bold>Table&#xa0;3</bold></xref>). Compared with Q1, the risk increased progressively across quartiles:Q2 vs Q1: OR = 1.31 (95% CI: 1.02&#x2013;1.68, P = 0.034); Q3 vs Q1: OR = 1.64 (95% CI: 1.26&#x2013;2.13, P &lt; 0.001); Q4 vs Q1: OR = 2.10 (95% CI: 1.56&#x2013;2.82, P &lt; 0.001).</p>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Multivariable ordinal logistic regression analysis for the association between TyG-NLR quartiles and cardiorenal disease severity.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Variables</th>
<th valign="middle" align="center">Level</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">TyG-NLR</td>
<td valign="middle" align="center">Q2</td>
<td valign="middle" align="center">1.10 (0.84, 1.42)</td>
<td valign="middle" align="center">0.491</td>
</tr>
<tr>
<td valign="middle" align="center">TyG-NLR</td>
<td valign="middle" align="center">Q3</td>
<td valign="middle" align="center">1.88 (1.46, 2.42)</td>
<td valign="middle" align="center">&lt; 0.001</td>
</tr>
<tr>
<td valign="middle" align="center">TyG-NLR</td>
<td valign="middle" align="center">Q4</td>
<td valign="middle" align="center">2.14 (1.64, 2.78)</td>
<td valign="middle" align="center">&lt; 0.001</td>
</tr>
<tr>
<td valign="middle" align="center">sex</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">1.01 (0.81, 1.25)</td>
<td valign="middle" align="center">0.964</td>
</tr>
<tr>
<td valign="middle" align="center">age</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">1.02 (1.02, 1.03)</td>
<td valign="middle" align="center">&lt; 0.001</td>
</tr>
<tr>
<td valign="middle" align="center">Smoke</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">1.00 (0.76, 1.32)</td>
<td valign="middle" align="center">0.990</td>
</tr>
<tr>
<td valign="middle" align="center">Drink</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.83 (0.62, 1.11)</td>
<td valign="middle" align="center">0.201</td>
</tr>
<tr>
<td valign="middle" align="center">BMI</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">1.00 (1.00, 1.00)</td>
<td valign="middle" align="center">0.041</td>
</tr>
<tr>
<td valign="middle" align="center">Statin</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">1.63 (1.36, 1.96)</td>
<td valign="middle" align="center">&lt; 0.001</td>
</tr>
<tr>
<td valign="middle" align="center">SGLT2i</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">1.15 (0.66, 2.01)</td>
<td valign="middle" align="center">0.622</td>
</tr>
<tr>
<td valign="middle" align="center">Hypertension</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">5.72 (4.38, 7.46)</td>
<td valign="middle" align="center">&lt; 0.001</td>
</tr>
<tr>
<td valign="middle" align="center">Insulin</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.75 (0.58, 0.98)</td>
<td valign="middle" align="center">0.032</td>
</tr>
<tr>
<td valign="middle" align="center">TC</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.97 (0.87, 1.08)</td>
<td valign="middle" align="center">0.555</td>
</tr>
<tr>
<td valign="middle" align="center">Albumin</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.97 (0.96, 0.98)</td>
<td valign="middle" align="center">&lt; 0.001</td>
</tr>
<tr>
<td valign="middle" align="center">LDL_C</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">1.09 (0.94, 1.26)</td>
<td valign="middle" align="center">0.243</td>
</tr>
<tr>
<td valign="middle" align="center">UA</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">1.00 (1.00, 1.01)</td>
<td valign="middle" align="center">&lt; 0.001</td>
</tr>
<tr>
<td valign="middle" align="center">HDL_C</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">1.08 (0.81, 1.44)</td>
<td valign="middle" align="center">0.605</td>
</tr>
<tr>
<td valign="middle" align="center">Hemoglobin</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.99 (0.99, 1.00)</td>
<td valign="middle" align="center">&lt; 0.001</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The proportional odds (parallel lines) assumption for both models was evaluated using the Brant test. For the CTI quartile model, the overall Brant test indicated that the proportional odds assumption was not fully satisfied. Variable-specific testing further revealed that the CTI quartile levels significantly violated this assumption.</p>
<p>Similarly, the TyG-NLR quartile model showed partial deviations from the proportional odds assumption. Variable-specific results indicated that higher TyG-NLR quartiles exhibited significant departures from proportionality. Details are shown in <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>Brant test results for proportional odds (PO) assumption in ordinal logistic regression models of CTI and TyG-NLR.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Variables</th>
<th valign="middle" align="center">&#x3c7;2</th>
<th valign="middle" align="center">df</th>
<th valign="middle" align="center">P-value</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">Omnibus</td>
<td valign="middle" align="center">670.1024343</td>
<td valign="middle" align="center">36</td>
<td valign="middle" align="center">&lt; 0.001</td>
</tr>
<tr>
<td valign="middle" align="center">CTI_Q2</td>
<td valign="middle" align="center">3.025500971</td>
<td valign="middle" align="center">2</td>
<td valign="middle" align="center">0.220</td>
</tr>
<tr>
<td valign="middle" align="center">CTI_Q3</td>
<td valign="middle" align="center">0.336024179</td>
<td valign="middle" align="center">2</td>
<td valign="middle" align="center">0.845</td>
</tr>
<tr>
<td valign="middle" align="center">CTI_Q4</td>
<td valign="middle" align="center">4.660314225</td>
<td valign="middle" align="center">2</td>
<td valign="middle" align="center">0.097</td>
</tr>
<tr>
<td valign="middle" align="center">Omnibus</td>
<td valign="middle" align="center">645.194242</td>
<td valign="middle" align="center">36</td>
<td valign="middle" align="center">&lt; 0.001</td>
</tr>
<tr>
<td valign="middle" align="center">TyG_NLR_Q2</td>
<td valign="middle" align="center">2.963367059</td>
<td valign="middle" align="center">2</td>
<td valign="middle" align="center">0.227</td>
</tr>
<tr>
<td valign="middle" align="center">TyG_NLR_Q3</td>
<td valign="middle" align="center">7.700501831</td>
<td valign="middle" align="center">2</td>
<td valign="middle" align="center">0.021</td>
</tr>
<tr>
<td valign="middle" align="center">TyG_NLR_Q4</td>
<td valign="middle" align="center">14.90324521</td>
<td valign="middle" align="center">2</td>
<td valign="middle" align="center">&lt; 0.001</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Omnibus and variable-specific tests were performed to assess the proportional-odds assumption. P &lt; 0.05 indicates violation of the assumption.</p></fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Partial proportional odds (VGAM) analysis</title>
<p>Because the overall Brant test did not fully support the proportional odds assumption, we performed a sensitivity analysis using a partial proportional odds model (VGAM). The results showed that the threshold-specific odds ratios for CTI and TyG-NLR were directionally consistent and exhibited stable trends across cutpoints, indicating that the primary model findings are robust. (<xref ref-type="table" rid="T5"><bold>Table&#xa0;5</bold></xref>).</p>
<table-wrap id="T5" position="float">
<label>Table&#xa0;5</label>
<caption>
<p>Partial proportional odds model (VGAM) results for CTI and TyG-NLR with threshold-specific coefficients.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" rowspan="3" align="center">Assumption (PO)</th>
<th valign="middle" rowspan="3" align="center">Variables</th>
<th valign="middle" colspan="2" align="center">Exposure</th>
</tr>
<tr>
<th valign="middle" align="center">CTI</th>
<th valign="middle" align="center">TyG-NLR</th>
</tr>
<tr>
<th valign="middle" colspan="2" align="center">OR (95%CI)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">Parallel (PO)</td>
<td valign="middle" align="center">age</td>
<td valign="middle" align="center">0.98 (0.97, 0.99)</td>
<td valign="middle" align="center">0.98 (0.97, 0.99)</td>
</tr>
<tr>
<td valign="middle" align="center">Parallel (PO)</td>
<td valign="middle" align="center">Albumin</td>
<td valign="middle" align="center">1.02 (1.02, 1.03)</td>
<td valign="middle" align="center">1.02 (1.01, 1.03)</td>
</tr>
<tr>
<td valign="middle" align="center">Parallel (PO)</td>
<td valign="middle" align="center">BMI</td>
<td valign="middle" align="center">1.00 (1.00, 1.00)</td>
<td valign="middle" align="center">1.00 (1.00, 1.00)</td>
</tr>
<tr>
<td valign="middle" align="center">Parallel (PO)</td>
<td valign="middle" align="center">Drink</td>
<td valign="middle" align="center">1.17 (0.88, 1.56)</td>
<td valign="middle" align="center">1.16 (0.87, 1.53)</td>
</tr>
<tr>
<td valign="middle" align="center">Parallel (PO)</td>
<td valign="middle" align="center">HDL_C</td>
<td valign="middle" align="center">0.89 (0.66, 1.21)</td>
<td valign="middle" align="center">0.96 (0.72, 1.28)</td>
</tr>
<tr>
<td valign="middle" align="center">Parallel (PO)</td>
<td valign="middle" align="center">Hemoglobin</td>
<td valign="middle" align="center">1.01 (1.00, 1.01)</td>
<td valign="middle" align="center">1.00 (1.00, 1.01)</td>
</tr>
<tr>
<td valign="middle" align="center">Parallel (PO)</td>
<td valign="middle" align="center">Hypertension</td>
<td valign="middle" align="center">0.20 (0.15, 0.26)</td>
<td valign="middle" align="center">0.21 (0.16, 0.27)</td>
</tr>
<tr>
<td valign="middle" align="center">Parallel (PO)</td>
<td valign="middle" align="center">Insulin</td>
<td valign="middle" align="center">1.21 (0.93, 1.59)</td>
<td valign="middle" align="center">1.25 (0.96, 1.63)</td>
</tr>
<tr>
<td valign="middle" align="center">Parallel (PO)</td>
<td valign="middle" align="center">LDL_C</td>
<td valign="middle" align="center">0.94 (0.81, 1.10)</td>
<td valign="middle" align="center">0.92 (0.79, 1.06)</td>
</tr>
<tr>
<td valign="middle" align="center">Parallel (PO)</td>
<td valign="middle" align="center">sex</td>
<td valign="middle" align="center">0.91 (0.73, 1.12)</td>
<td valign="middle" align="center">1.00 (0.81, 1.24)</td>
</tr>
<tr>
<td valign="middle" align="center">Parallel (PO)</td>
<td valign="middle" align="center">SGLT2i</td>
<td valign="middle" align="center">0.90 (0.52, 1.55)</td>
<td valign="middle" align="center">0.84 (0.48, 1.45)</td>
</tr>
<tr>
<td valign="middle" align="center">Parallel (PO)</td>
<td valign="middle" align="center">Smoke</td>
<td valign="middle" align="center">1.00 (0.76, 1.32)</td>
<td valign="middle" align="center">1.01 (0.77, 1.33)</td>
</tr>
<tr>
<td valign="middle" align="center">Parallel (PO)</td>
<td valign="middle" align="center">Statin</td>
<td valign="middle" align="center">0.68 (0.57, 0.82)</td>
<td valign="middle" align="center">0.66 (0.55, 0.80)</td>
</tr>
<tr>
<td valign="middle" align="center">Parallel (PO)</td>
<td valign="middle" align="center">TC</td>
<td valign="middle" align="center">1.05 (0.94, 1.17)</td>
<td valign="middle" align="center">1.03 (0.93, 1.15)</td>
</tr>
<tr>
<td valign="middle" align="center">Parallel (PO)</td>
<td valign="middle" align="center">UA</td>
<td valign="middle" align="center">1.00 (0.99, 1.00)</td>
<td valign="middle" align="center">1.00 (0.99, 1.00)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>The partial proportional odds model (VGAM framework) was fitted to account for non-parallel slopes. Results show stable direction and magnitude across thresholds, supporting robustness.</p></fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3_4">
<label>3.4</label>
<title>Trend analysis</title>
<p>Trend tests (<italic>p</italic>-trend) demonstrated a significant linear relationship between CTI and disease severity (median method: Wald <italic>P</italic> = 8.2&#xd7;10<sup>-4</sup>; LRT <italic>P</italic> = 8.2&#xd7;10<sup>-4</sup>; score method: Wald <italic>P</italic> = 7.3&#xd7;10<sup>-4</sup>; LRT <italic>P</italic> = 7.3&#xd7;10<sup>-4</sup>). A highly significant increasing trend was also observed between TyG-NLR and disease severity (median method: Wald <italic>P</italic> = 5.3&#xd7;10<sup>-11</sup>; LRT <italic>P</italic> = 6.6&#xd7;10<sup>-11</sup>; score method: Wald <italic>P</italic> = 1.5&#xd7;10<sup>-</sup>&#xb9;&#xb9;; LRT <italic>P</italic> = 1.2&#xd7;10<sup>-</sup>&#xb9;&#xb9;).</p>
</sec>
<sec id="s3_5">
<label>3.5</label>
<title>Restricted cubic splines</title>
<p>In the RCS models, TyG-NLR showed a significant nonlinear association with the outcome (LRT for nonlinearity: &#x3c7;&#xb2; = 34.438, df = 2, P = 3.33&#xd7;10<sup>-8</sup>). The odds ratio (OR) for TyG-NLR was 0.70 (95% CI: 0.56&#x2013;0.87) at the 10th percentile, 1.36 (1.12&#x2013;1.65) at the 75th percentile, and 1.76 (1.37&#x2013;2.27) at the 90th percentile (<xref ref-type="table" rid="T6"><bold>Table&#xa0;6</bold></xref>).</p>
<table-wrap id="T6" position="float">
<label>Table&#xa0;6</label>
<caption>
<p>Restricted cubic spline (RCS) analysis of dose&#x2013;response relationships between TyG-NLR, CTI, and cardiorenal disease severity.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Exposure</th>
<th valign="middle" align="center">Percentile</th>
<th valign="middle" align="center">Value</th>
<th valign="middle" align="center">OR (95% CI)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">TyG_NLR</td>
<td valign="middle" align="center">10%</td>
<td valign="middle" align="center">9.2977</td>
<td valign="middle" align="left">0.70 (0.56, 0.87)</td>
</tr>
<tr>
<td valign="middle" align="left">TyG_NLR</td>
<td valign="middle" align="center">25%</td>
<td valign="middle" align="center">12.1815</td>
<td valign="middle" align="left">0.81 (0.67, 0.98)</td>
</tr>
<tr>
<td valign="middle" align="left">TyG_NLR</td>
<td valign="middle" align="center">50% (Ref)</td>
<td valign="middle" align="center">16.6387</td>
<td valign="middle" align="left">1.00 (0.82, 1.21)</td>
</tr>
<tr>
<td valign="middle" align="left">TyG_NLR</td>
<td valign="middle" align="center">75%</td>
<td valign="middle" align="center">25.1863</td>
<td valign="middle" align="left">1.36 (1.12, 1.65)</td>
</tr>
<tr>
<td valign="middle" align="left">TyG_NLR</td>
<td valign="middle" align="center">90%</td>
<td valign="middle" align="center">40.9329</td>
<td valign="middle" align="left">1.76 (1.37, 2.27)</td>
</tr>
<tr>
<td valign="middle" align="left">CTI</td>
<td valign="middle" align="center">10%</td>
<td valign="middle" align="center">7.8287</td>
<td valign="middle" align="left">0.73 (0.58, 0.92)</td>
</tr>
<tr>
<td valign="middle" align="left">CTI</td>
<td valign="middle" align="center">25%</td>
<td valign="middle" align="center">8.2902</td>
<td valign="middle" align="left">0.87 (0.70, 1.10)</td>
</tr>
<tr>
<td valign="middle" align="left">CTI</td>
<td valign="middle" align="center">50% (Ref)</td>
<td valign="middle" align="center">8.9150</td>
<td valign="middle" align="left">1.00 (0.83, 1.21)</td>
</tr>
<tr>
<td valign="middle" align="left">CTI</td>
<td valign="middle" align="center">75%</td>
<td valign="middle" align="center">9.5168</td>
<td valign="middle" align="left">1.08 (0.87, 1.33)</td>
</tr>
<tr>
<td valign="middle" align="left">CTI</td>
<td valign="middle" align="center">90%</td>
<td valign="middle" align="center">10.1238</td>
<td valign="middle" align="left">1.17 (0.95, 1.44)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Odds ratios (ORs) and 95% CIs were computed at the 10th, 25th, 50th, 75th, and 90th percentiles. LRT: likelihood ratio test for nonlinearity.</p></fn>
</table-wrap-foot>
</table-wrap>
<p>By contrast, the exposure&#x2013;response relationship for CTI was approximately linear, with no evidence of significant nonlinearity (LRT: &#x3c7;&#xb2; = 1.486, df = 2, P = 0.476). Its risk increased gradually with higher CTI (see figure &#x201c;RCS for CTI&#x201d;): ORs were 0.73 (0.58&#x2013;0.92) at the 10th percentile, 1.08 (0.87&#x2013;1.33) at the 75th percentile, and 1.17 (0.95&#x2013;1.44) at the 90th percentile (<xref ref-type="table" rid="T6"><bold>Table&#xa0;6</bold></xref>).</p>
<p>The exposure&#x2013;response relationships between TyG-NLR and CTI and cardiorenal disease severity are illustrated in <xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1</bold></xref>.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Restricted cubic spline (RCS) curves for the associations of <bold>(A)</bold> TyG-NLR and <bold>(B)</bold> CTI with cardiorenal disease severity. Solid lines represent adjusted odds ratios; shaded areas indicate 95% confidence intervals. The horizontal dashed line marks OR = 1, and the vertical dashed line denotes the median exposure. TyG-NLR displays a nonlinear association plateauing beyond 16.6, while CTI shows a linear relationship.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-16-1735949-g001.tif">
<alt-text content-type="machine-generated">Graphs A and B show restricted cubic splines for CTI and TyG_NLR, respectively. Both plots depict adjusted odds ratios on a log scale with median reference values indicated. Shaded areas represent confidence intervals. A shows a generally upward trend, while B shows a curving downward trend.</alt-text>
</graphic></fig>
</sec>
<sec id="s3_6">
<label>3.6</label>
<title>Model performance comparison</title>
<p>As shown in <xref ref-type="table" rid="T7"><bold>Table&#xa0;7</bold></xref>, compared with the base model, inclusion of TyG-NLR (Base+TyG-NLR) substantially improved overall model performance (AIC = 4367, BIC = 4488, Nagelkerke R&#xb2; = 0.245, LR &#x3c7;&#xb2; = 50.8, P = 5.3&#xd7;10<sup>-</sup>&#xb9;&#xb9;). The Base + CTI model demonstrated moderate improvement (LR &#x3c7;&#xb2; = 12.3, P = 0.006), whereas the TyG model did not yield a significant gain (P = 0.23). Among all models, the TyG-NLR model achieved the highest AUC (0.680, 95% CI: 0.668&#x2013;0.693) and the lowest Brier score (0.476). Calibration curves indicated good agreement between predicted and observed probabilities across all thresholds (&#x2265;1, &#x2265;2, &#x2265;3), with the TyG-NLR model showing the closest alignment with the ideal calibration line. Minor deviations in slope and CITL suggested slight overprediction at higher thresholds (<xref ref-type="fig" rid="f2"><bold>Figure&#xa0;2A</bold></xref>). Decision curve analysis (DCA) further demonstrated that the TyG-NLR model consistently provided the greatest net clinical benefit over a wide range of threshold probabilities (0.05&#x2013;0.35), followed by the CTI model, while the TyG model offered the least additional value. (<xref ref-type="fig" rid="f2"><bold>Figures&#xa0;2B-D</bold></xref>).</p>
<table-wrap id="T7" position="float">
<label>Table&#xa0;7</label>
<caption>
<p>Model performance comparison for base, TyG, TyG-NLR, and CTI models.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Model</th>
<th valign="middle" align="center">AIC</th>
<th valign="middle" align="center">BIC</th>
<th valign="middle" align="center">LogLik</th>
<th valign="middle" align="center">Nagelkerke R&#xb2;</th>
<th valign="middle" align="center">AUC (95% CI)</th>
<th valign="middle" align="center">Brier</th>
<th valign="middle" align="center">Brier scaled</th>
<th valign="middle" align="center">LR test vs Base (&#x3c7;&#xb2;, df, P)</th>
<th valign="middle" align="center">Calibration slope (&#x2265;1/&#x2265;2/&#x2265;3)</th>
<th valign="middle" align="center">CITL (&#x2265;1/&#x2265;2/&#x2265;3)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">Base</td>
<td valign="middle" align="center">4412.1</td>
<td valign="middle" align="center">4515.7</td>
<td valign="middle" align="center">&#x2212;2188.0</td>
<td valign="middle" align="center">0.225</td>
<td valign="middle" align="center">0.675 (0.661&#x2013;0.690)</td>
<td valign="middle" align="center">0.481</td>
<td valign="middle" align="center">0.109</td>
<td valign="middle" align="center">&#x2014;</td>
<td valign="middle" align="center">0.96/0.82/1.40</td>
<td valign="middle" align="center">0.006/&#x2212;0.013/&#x2212;0.028</td>
</tr>
<tr>
<td valign="middle" align="left">Base + TyG_Q</td>
<td valign="middle" align="center">4413.2</td>
<td valign="middle" align="center">4535.0</td>
<td valign="middle" align="center">&#x2212;2186.3</td>
<td valign="middle" align="center">0.227</td>
<td valign="middle" align="center">0.676 (0.661&#x2013;0.692)</td>
<td valign="middle" align="center">0.481</td>
<td valign="middle" align="center">0.110</td>
<td valign="middle" align="center">4.31, 3, 0.230</td>
<td valign="middle" align="center">0.97/0.82/1.40</td>
<td valign="middle" align="center">0.006/&#x2212;0.012/&#x2212;0.028</td>
</tr>
<tr>
<td valign="middle" align="left">Base + TyG-NLR_Q</td>
<td valign="middle" align="center">4367.3</td>
<td valign="middle" align="center">4488.4</td>
<td valign="middle" align="center">&#x2212;2162.4</td>
<td valign="middle" align="center">0.245</td>
<td valign="middle" align="center">0.680 (0.668&#x2013;0.693)</td>
<td valign="middle" align="center">0.476</td>
<td valign="middle" align="center">0.118</td>
<td valign="middle" align="center">50.8, 3, 5.3&#xd7;10<sup>-</sup>&#xb9;&#xb9;</td>
<td valign="middle" align="center">0.97/0.81/1.43</td>
<td valign="middle" align="center">0.007/&#x2212;0.013/&#x2212;0.031</td>
</tr>
<tr>
<td valign="middle" align="left">Base + CTI_Q</td>
<td valign="middle" align="center">4405.1</td>
<td valign="middle" align="center">4527.3</td>
<td valign="middle" align="center">&#x2212;2182.3</td>
<td valign="middle" align="center">0.230</td>
<td valign="middle" align="center">0.677 (0.663&#x2013;0.692)</td>
<td valign="middle" align="center">0.480</td>
<td valign="middle" align="center">0.111</td>
<td valign="middle" align="center">12.3, 3, 0.006</td>
<td valign="middle" align="center">0.97/0.82/1.41</td>
<td valign="middle" align="center">0.006/&#x2212;0.012/&#x2212;0.028</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Model performance was evaluated by Akaike information criterion (AIC), Bayesian information criterion (BIC), Nagelkerke R&#xb2;, area under the ROC curve (AUC), Brier score, and calibration metrics. LR &#x3c7;&#xb2; tests assessed incremental improvement versus the base model.</p></fn>
</table-wrap-foot>
</table-wrap>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Calibration and decision-curve analyses of models incorporating TyG, TyG-NLR, and CTI for predicting cardiorenal disease severity in patients with type 2 diabetes. <bold>(A)</bold> Calibration plots at cumulative thresholds (&#x2265;1, &#x2265;2, &#x2265;3) showing agreement between predicted and observed probabilities across models. <bold>(B&#x2013;D)</bold> Decision-curve analyses demonstrating net clinical benefit of each model over a range of threshold probabilities. The TyG-NLR-augmented model achieved the best calibration and yielded the greatest net benefit across threshold probabilities of 0.05&#x2013;0.35, followed by CTI, while TyG alone provided minimal incremental value. Base = covariate-only model; CTI =C-reactive-protein&#x2013;triglyceride&#x2013;glucose;TyG-NLR=triglyceride&#x2013;glucose&#x2013;neutrophil-to-lymphocyte ratio.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-16-1735949-g002.tif">
<alt-text content-type="machine-generated">Four plots labeled A to D depict model evaluations and net benefits. Plot A shows calibration by cumulative thresholds, with observed versus predicted probabilities for three thresholds. Plots B, C, and D display net benefits against threshold probabilities and cost-benefit ratios for various models, including Base, Base plus TyG Q, Base plus TyG NLR Q, and Base plus CTI Q. Each plot highlights variations in net benefits across different threshold probabilities and cost-benefit ratios, with different models represented by distinct colored lines.</alt-text>
</graphic></fig>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<p>This study stratified type 2 diabetes mellitus (T2DM) patients according to the CKM staging system to further categorize their cardiorenal status and investigate the effects of the TyG-NLR and CTI indices on cardiorenal function. Using real-world inpatient data in a retrospective design, we found that composite indicators reflecting systemic inflammation and insulin resistance were independently associated with the severity of cardiorenal impairment in this population. Notably, TyG-NLR exhibited a relatively steeper risk gradient and modest improvements in discrimination and calibration, and it yielded slightly higher net clinical benefit across a range of decision thresholds. Given that the absolute AUC remained in the moderate range and the increase in Nagelkerke R&#xb2; was small, the added value of TyG-NLR should be&#xa0;interpreted as modest but potentially useful for early risk assessment.</p>
<p>Inflammatory markers play a crucial role in cardiovascular disease, a concept that has been well established in numerous previous studies, For example, Kaptoge S and colleagues found that C-reactive protein (CRP) concentrations are consistently associated with the development and prognosis of cardiovascular disease (<xref ref-type="bibr" rid="B19">19</xref>). Xia and colleagues likewise reported that the systemic immune-inflammation index (SII) and the systemic inflammation response index (SIRI) are closely associated with cardiovascular mortality and all-cause mortality (<xref ref-type="bibr" rid="B20">20</xref>); In addition, the study by Haffner SM also substantiated the impact of inflammatory status on cardiovascular outcomes (<xref ref-type="bibr" rid="B21">21</xref>). In a prognostic study of heart failure, the NLR was identified as a practical tool for risk stratification and screening of high-risk patients in routine clinical practice (<xref ref-type="bibr" rid="B22">22</xref>). The mechanisms by which inflammation leads to cardiac injury are likely multifactorial. Inflammatory cytokines can induce cardiomyocyte apoptosis and even contribute to ventricular remodeling (<xref ref-type="bibr" rid="B23">23</xref>);In addition, inflammatory responses can disrupt lipid metabolism for example, by impairing reverse cholesterol transport thereby diminishing anti-atherosclerotic capacity and further accelerating the onset and progression of cardiovascular disease (<xref ref-type="bibr" rid="B24">24</xref>).</p>
<p>Insulin resistance (IR) also exerts an indispensable impact on cardiorenal disease. The onset of IR is often accompanied by dysregulation of metabolic factors, such as blood lipids and glucose that are established risk factors for cardiorenal disorders (<xref ref-type="bibr" rid="B25">25</xref>);Concurrently, IR impairs vascular vasodilation and exacerbates arteriosclerosis (<xref ref-type="bibr" rid="B26">26</xref>);IR also activates inflammatory responses (<xref ref-type="bibr" rid="B27">27</xref>), which, together with its vascular effects, promotes plaque formation. Insulin resistance (IR) is not only a metabolic abnormality but also a direct driver of cardiovascular and renal injury. First, IR induces endothelial dysfunction by reducing nitric oxide bioavailability, increasing oxidative stress, and enhancing endothelin-1 activity, thereby impairing vasodilation (<xref ref-type="bibr" rid="B28">28</xref>, <xref ref-type="bibr" rid="B29">29</xref>). These alterations accelerate arterial stiffness and the formation of atherosclerotic plaques. Second, IR disrupts reactive oxygen species (ROS) homeostasis in the myocardium, leading to cumulative superoxide-mediated injury or cellular dysfunction. This imbalance contributes to mitochondrial stress, cardiomyocyte hypertrophy, and interstitial fibrosis, ultimately resulting in adverse cardiac remodeling and a heart failure phenotype (<xref ref-type="bibr" rid="B30">30</xref>). In the kidney, insulin and hyperinsulinemia increase tubular sodium&#xa0;reabsorption and glomerular hyperfiltration, creating intraglomerular hypertension and mesangial expansion, which in turn promote proteinuria and progressive loss of renal function (<xref ref-type="bibr" rid="B31">31</xref>).Moreover, IR activates the sympathetic nervous system and the renin&#x2013;angiotensin&#x2013;aldosterone system, causing elevated blood pressure, increased volume load, and further hemodynamic stress on both the heart and kidneys. IR is also accompanied by low-grade chronic inflammation; adipose-derived cytokines such as TNF-&#x3b1; and IL-6 impair insulin signaling while fostering a pro-inflammatory and pro-thrombotic microenvironment. In recent years, research on the surrogate index TyG has deepened, and its combinations with other risk factors have markedly improved discrimination for diagnosis, incidence, and prognosis&#x2014;e.g., TyG-BMI (<xref ref-type="bibr" rid="B32">32</xref>), TyG- waist circumference (<xref ref-type="bibr" rid="B33">33</xref>), TyG-ABSI (<xref ref-type="bibr" rid="B34">34</xref>). Accordingly, TyG-NLR integrates metabolic and immuno-inflammatory dimensions into a single construct. We found that higher TyG-NLR quartiles were closely associated with increased disease severity (Q4 vs Q1 OR = 2.14), supporting the notion that synergistic metabolic&#x2013;inflammatory stress may accelerate injury to cardiac and renal tissues. This composite mechanism may partly explain the observed nonlinear exposure&#x2013;response curve: risk rises steeply up to approximately TyG-NLR &#x2248; 16.6 and then plateaus, suggesting saturation of pathophysiological burden. By contrast, CTI exhibited an approximately linear dose&#x2013;response relationship, indicating a more stable&#x2014;and less dynamic&#x2014;reflection of systemic inflammation. Although CTI was also significantly associated with disease severity (Q4 vs Q1 OR = 1.59), its overall discriminative ability was inferior to that of TyG-NLR.</p>
<p>Compared with previous studies, our findings extend the existing evidence linking TyG and NLR separately to cardiovascular and renal outcomes (<xref ref-type="bibr" rid="B15">15</xref>, <xref ref-type="bibr" rid="B35">35</xref>&#x2013;<xref ref-type="bibr" rid="B37">37</xref>). By evaluating the composite indices TyG-NLR and CTI against an ordered severity endpoint and comparing them within a unified analytic framework, we show that TyG-NLR may outperform CTI in quantifying the integrated metabolic inflammatory burden associated with cardiorenal outcomes.</p>
<p>Our decision curve analysis demonstrated that TyG-NLR provided meaningful net clinical benefits within a threshold probability range of 0.05&#x2013;0.35&#x2014;a range commonly encountered in real-world screening and early intervention decision-making scenarios. Therefore, incorporating TyG-NLR into electronic medical record (EMR) systems may assist clinicians in identifying high-risk hospitalized patients with diabetes who would benefit from intensified cardiorenal protective strategies. Moreover, the incremental improvement of the TyG-NLR model (&#x394;Nagelkerke R&#xb2; = 0.02, LR &#x3c7;&#xb2; = 50.8, P &lt; 10<sup>-10</sup>) suggests that this index offers&#xa0;additional prognostic information beyond traditional factors such as hypertension, albumin, and uric acid. These&#xa0;findings support integrating TyG-NLR into comprehensive risk prediction frameworks.</p>
<p>Several limitations should be acknowledged. First, the retrospective single-center design precludes causal inference and may introduce residual confounding, although we adjusted for key demographic and metabolic covariates. Therefore, we avoided drawing strong causal conclusions and interpreted the findings primarily as epidemiological associations. Second, Second, we were unable to include several important factors, such as glycated hemoglobin (HbA1c), physical activity, dietary habits, and medication adherence, which may influence both inflammation&#x2013;metabolic indices and cardio-renal outcomes. The absence of these variables should be regarded as a potential source of unmeasured confounding, and future studies incorporating these parameters are warranted to verify the robustness of our findings. Although estimated glomerular filtration rate (eGFR) was collected during data acquisition and used to verify the accuracy of chronic kidney disease (CKD)&#x2013;related diagnoses in our cohort, it was not entered as an independent covariate in the final statistical models. The main reason is that eGFR constituted part of the disease classification framework rather than an exposure or confounder to be adjusted for, and including it could raise concerns about model overadjustment and collinearity with the outcome definition. Third, the cross-sectional assessment of biomarkers and disease severity restricted longitudinal inference; prospective validation is needed to confirm their temporal predictive value. Future research should explore whether dynamic changes in TyG-NLR or CTI during hospitalization or follow-up could predict the onset of cardiovascular or renal events.</p>
</sec>
<sec id="s5" sec-type="conclusions">
<label>5</label>
<title>Conclusion</title>
<p>This study demonstrates that both TyG-NLR and CTI are independently associated with the severity of cardio-renal impairment among patients with type 2 diabetes. Among the two, TyG-NLR exhibited a steeper risk gradient and provided a modest incremental predictive value. Prospective, multicenter longitudinal studies are needed to further validate their predictive utility and potential therapeutic implications across diverse populations.</p>
</sec>
</body>
<back>
<sec id="s6" 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="s7" sec-type="ethics-statement">
<title>Ethics statement</title>
<p>The studies involving humans were approved by the Affiliated Hospital of Qingdao University. The studies were conducted in accordance with the local legislation and institutional requirements. The ethics committee/institutional review board waived the requirement of written informed consent for participation from the participants or the participants&#x2019; legal guardians/next of kin because for retrospective studies, patient data has been processed.</p></sec>
<sec id="s8" sec-type="author-contributions">
<title>Author contributions</title>
<p>YG: Conceptualization, Data curation, Writing &#x2013; original draft. HJ: Writing &#x2013; original draft, Data curation, Conceptualization, Visualization, Supervision, Validation, Writing &#x2013; review &amp; editing, Formal analysis. YW: Data curation, Writing &#x2013; review &amp; editing, Validation. ML: Data curation, Writing &#x2013; review &amp; editing, Validation. TC: Data curation, Writing &#x2013; review &amp; editing, Validation. ZD: Data curation, Validation, Writing &#x2013; review &amp; editing. XL: Writing &#x2013; review &amp; editing, Data curation, Validation. JZ: Supervision, Resources, Project administration, Writing &#x2013; review &amp; editing, Funding acquisition, Validation.</p></sec>
<sec id="s10" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The authors declared that this work was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p></sec>
<sec id="s11" sec-type="ai-statement">
<title>Generative AI statement</title>
<p>The author(s) declared that generative AI was not 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&#xa0;you identify any issues, please contact us.</p></sec>
<sec id="s12" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors&#xa0;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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<fn id="n1" fn-type="custom" custom-type="edited-by">
<p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/46470">Gaetano Santulli</ext-link>, Albert Einstein College of Medicine, United States</p></fn>
<fn id="n2" fn-type="custom" custom-type="reviewed-by">
<p>Reviewed by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1573251">Serafino Fazio</ext-link>, Federico II University Hospital, Italy</p>
<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3066290">Ferit B&#xf6;y&#xfc;k</ext-link>, Kanuni Sultan S&#xfc;leyman Training And Research Hospital, T&#xfc;rkiye</p></fn>
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