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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Nutr.</journal-id>
<journal-title>Frontiers in Nutrition</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Nutr.</abbrev-journal-title>
<issn pub-type="epub">2296-861X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fnut.2025.1666644</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Nutrition</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Interpretable prediction of coronary heart disease risk in adults over 50 with accelerated aging using 45 dietary nutrients</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Yang</surname>
<given-names>Zhi-qiang</given-names>
</name>
<xref ref-type="author-notes" rid="fn0001"><sup>&#x2020;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/1632033/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Zhang</surname>
<given-names>Xiao-hong</given-names>
</name>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
</contrib-group>
<aff><institution>Department of Cardiology, The Third Affiliated Hospital of Anhui Medical University</institution>, <addr-line>Hefei</addr-line>, <country>China</country></aff>
<author-notes>
<fn fn-type="edited-by" id="fn0002">
<p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1186891/overview">Abdullahi Aborode</ext-link>, Florida International University, United States</p>
</fn>
<fn fn-type="edited-by" id="fn0003">
<p>Reviewed by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1759333/overview">Christian Oko</ext-link>, University of Glasgow, United Kingdom</p>
<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3055655/overview">Jane Ibude</ext-link>, University of Kansas Medical Center, United States</p>
<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3073825/overview">Zainab Tiamiyu</ext-link>, Augusta University, United States</p>
</fn>
<corresp id="c001">&#x002A;Correspondence: Xiao-hong Zhang, <email>datoubaom@126.com</email>; <email>hfyykjcyc@126.com</email></corresp>
<fn fn-type="other" id="fn0001"><p><sup>&#x2020;</sup>ORCID: Zhiqiang Yang, <ext-link ext-link-type="uri" xlink:href="http://orcid.org/0000-0001-7409-5549">orcid.org/0000-0001-7409-5549</ext-link></p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>18</day>
<month>09</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>12</volume>
<elocation-id>1666644</elocation-id>
<history>
<date date-type="received">
<day>15</day>
<month>07</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>29</day>
<month>08</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2025 Yang and Zhang.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Yang and Zhang</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 id="sec1">
<title>Background</title>
<p>The relationship between dietary nutrient intake and coronary heart disease (CHD) risk among older adults with accelerated aging remains inadequately understood.</p>
</sec>
<sec id="sec2">
<title>Methods</title>
<p>This study analyzed data from seven cycles of the National Health and Nutrition Examination Survey (NHANES) conducted in the United States between 2005 and 2018. Weighted Quantile Sum (WQS) regression was employed to evaluate the association between dietary nutrient mixtures and CHD risk in individuals aged 50 and older with accelerated aging. Additionally, six machine learning models were developed, with SHAP and LIME algorithms applied to assess the contribution of individual nutrients to CHD risk.</p>
</sec>
<sec id="sec3">
<title>Results</title>
<p>In the fully adjusted model, dietary nutrient mixtures were inversely associated with CHD risk in older adults experiencing accelerated aging (adjusted OR&#x202F;=&#x202F;0.90, 95% CI: 0.81&#x2013;0.99, <italic>p</italic>&#x202F;=&#x202F;0.048). Both SHAP and LIME analyses consistently identified vitamin B12 and lutein + zeaxanthin as protective nutrients, independent of demographic adjustments.</p>
</sec>
<sec id="sec4">
<title>Conclusion</title>
<p>Among adults aged 50 and older with accelerated aging, higher intake of specific dietary nutrients was associated with reduced CHD risk. Of the machine learning models tested, the random forest algorithm demonstrated the strongest predictive performance. SHAP and LIME analyses jointly highlighted vitamin B12 and lutein + zeaxanthin as key contributors to the reduced CHD risk in this high-risk population.</p>
</sec>
</abstract>
<kwd-group>
<kwd>dietary nutrients</kwd>
<kwd>aging</kwd>
<kwd>phenotypic age acceleration</kwd>
<kwd>coronary heart disease</kwd>
<kwd>NHANES</kwd>
</kwd-group>
<counts>
<fig-count count="15"/>
<table-count count="6"/>
<equation-count count="3"/>
<ref-count count="40"/>
<page-count count="17"/>
<word-count count="8456"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Clinical Nutrition</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="sec5">
<title>Introduction</title>
<p>Coronary heart disease (CHD) remains a leading cause of morbidity and mortality in older adults, particularly those experiencing accelerated aging&#x2014;a condition in which biological age exceeds chronological age. This discrepancy indicates increased vulnerability to age-related diseases, including CHD (<xref ref-type="bibr" rid="ref1">1</xref>). Accelerated aging is often assessed using phenotypic age acceleration (PhenoAgeAccel), a biomarker-based metric that reflects physiological decline driven by systemic inflammation and oxidative stress, both of which are central to CHD pathogenesis (<xref ref-type="bibr" rid="ref2">2</xref>, <xref ref-type="bibr" rid="ref3">3</xref>). Given that diet is a modifiable risk factor, understanding its role in CHD among individuals with accelerated aging has substantial clinical and public health significance.</p>
<p>Accelerated aging is characterized by a faster rate of biological deterioration, typically quantified by phenotypic age. This biomarker integrates chronological age with nine clinical indicators&#x2014;such as glucose, C-reactive protein, and creatinine&#x2014;to capture metabolic, inflammatory, and organ function status (<xref ref-type="bibr" rid="ref4">4</xref>). PhenoAgeAccel is defined as the difference between phenotypic and chronological age; positive values denote accelerated aging. This metric is a strong predictor of morbidity and mortality, underscoring its relevance in aging research and clinical risk assessment (<xref ref-type="bibr" rid="ref1">1</xref>, <xref ref-type="bibr" rid="ref4">4</xref>).</p>
<p>The prevalence of accelerated aging is particularly high among adults aged 50 and older and is influenced by lifestyle behaviors, socioeconomic status, comorbidities, and environmental exposures (<xref ref-type="bibr" rid="ref5">5</xref>). Favorable cardiovascular health is typically associated with negative PhenoAgeAccel scores, whereas poor cardiovascular profiles are linked to positive values (<xref ref-type="bibr" rid="ref6">6</xref>). Modifiable factors&#x2014;such as smoking, physical inactivity, poor diet, and obesity&#x2014;contribute significantly to accelerated aging and increase the risk of conditions like diabetes, frailty, cognitive decline, and cardiovascular disease (<xref ref-type="bibr" rid="ref2">2</xref>, <xref ref-type="bibr" rid="ref7">7</xref>). Additionally, genetic predisposition and exposure to pollutants may further exacerbate biological aging (<xref ref-type="bibr" rid="ref8">8</xref>).</p>
<p>Mechanistically, accelerated aging increases CHD risk through heightened inflammation and oxidative stress, which promote endothelial dysfunction and atherogenesis (<xref ref-type="bibr" rid="ref3">3</xref>, <xref ref-type="bibr" rid="ref9">9</xref>). In a study of 609 patients with multivessel coronary artery disease, higher phenotypic age was significantly associated with increased all-cause mortality, reinforcing its prognostic relevance in cardiovascular care (<xref ref-type="bibr" rid="ref10">10</xref>). Similarly, epigenetic age acceleration has been linked to unfavorable cardiometabolic profiles and higher cardiovascular risk scores, especially in high-risk populations (<xref ref-type="bibr" rid="ref11">11</xref>). These findings emphasize the critical role of biological aging in CHD development.</p>
<p>Dietary nutrients play a key role in regulating systemic inflammation and oxidative stress&#x2014;both integral to aging and CHD pathogenesis (<xref ref-type="bibr" rid="ref12">12</xref>, <xref ref-type="bibr" rid="ref13">13</xref>). Several nutrients, such as vitamin E, vitamin C, and omega-3 fatty acids, have been widely studied for their antioxidant and anti-inflammatory effects (<xref ref-type="bibr" rid="ref14 ref15 ref16 ref17 ref18">14&#x2013;18</xref>). Vitamin E, a lipid-soluble antioxidant, protects cell membranes by neutralizing reactive oxygen species (ROS) and suppressing pro-inflammatory cytokines like interleukin-6 (IL-6) and tumor necrosis factor-alpha (TNF-&#x03B1;) (<xref ref-type="bibr" rid="ref14">14</xref>, <xref ref-type="bibr" rid="ref15">15</xref>). High doses (&#x2265;700&#x202F;mg/day) have been associated with reductions in C-reactive protein (CRP) levels and improvements in insulin resistance (<xref ref-type="bibr" rid="ref14">14</xref>), with well-documented protective effects against oxidative stress&#x2013;related diseases, including CHD (<xref ref-type="bibr" rid="ref15">15</xref>). Vitamin C, a water-soluble antioxidant, scavenges ROS, regenerates oxidized vitamin E, and lowers inflammatory markers such as CRP and IL-6 (<xref ref-type="bibr" rid="ref16">16</xref>, <xref ref-type="bibr" rid="ref17">17</xref>). These actions help reduce oxidative damage in conditions like metabolic syndrome and may lower CHD risk (<xref ref-type="bibr" rid="ref17">17</xref>). Omega-3 fatty acids&#x2014;especially eicosapentaenoic acid (EPA) and docosahexaenoic acid (DHA)&#x2014;reduce inflammation by inhibiting pro-inflammatory eicosanoids and cytokines while promoting the synthesis of pro-resolving mediators (<xref ref-type="bibr" rid="ref18">18</xref>, <xref ref-type="bibr" rid="ref19">19</xref>). Though these nutrients have been associated with reduced cardiovascular mortality and nonfatal myocardial infarction, data specific to older adults remain limited (<xref ref-type="bibr" rid="ref20">20</xref>).</p>
<p>These bioactive compounds also modulate key inflammatory pathways, such as NF-&#x03BA;B and the NLRP3 inflammasome, and intersect with diseases influenced by chronic inflammation and oxidative stress&#x2014;including cardiovascular disease, diabetes, and neurodegenerative disorders (<xref ref-type="bibr" rid="ref14 ref15 ref16 ref17 ref18 ref19">14&#x2013;19</xref>). However, their efficacy may vary depending on factors such as dosage, bioavailability, and individual metabolic status.</p>
<p>Although nutrients like vitamin E, vitamin C, and omega-3 fatty acids show potential for mitigating inflammation and oxidative stress in the general population, their specific effects on CHD risk in older adults with accelerated aging remain unclear (<xref ref-type="bibr" rid="ref12">12</xref>, <xref ref-type="bibr" rid="ref13">13</xref>). Potential mechanisms include reducing endothelial dysfunction and slowing atherogenesis through antioxidant and anti-inflammatory actions (<xref ref-type="bibr" rid="ref9">9</xref>, <xref ref-type="bibr" rid="ref13">13</xref>). Nevertheless, few clinical trials have focused on this high-risk subgroup, and the complex interplay between biological aging, nutrient metabolism, and cardiovascular outcomes remains underexplored (<xref ref-type="bibr" rid="ref21">21</xref>).</p>
<p>In response to this knowledge gap, the present study analyzed NHANES data to examine the association between various dietary nutrients&#x2014;including carbohydrates, fiber, vitamins, and minerals&#x2014;and CHD risk in individuals aged 50 and above with elevated PhenoAgeAccel. By integrating machine learning models capable of capturing nonlinear and interactive nutrient effects (<xref ref-type="bibr" rid="ref22">22</xref>, <xref ref-type="bibr" rid="ref23">23</xref>), the study aimed to identify key dietary predictors and inform targeted nutritional strategies for CHD prevention in this aging population.</p>
</sec>
<sec sec-type="materials|methods" id="sec6">
<title>Materials and methods</title>
<sec id="sec7">
<title>Study population</title>
<p>The NHANES, conducted by the National Center for Health Statistics (NCHS), evaluates the health and nutritional status of the non-institutionalized U. S. population. This study utilized NHANES data from 2005 to 2018, initially comprising 70,190 participants. After applying exclusion criteria, 67,515 individuals were removed for the following reasons: (1) age under 50&#x202F;years (n&#x202F;=&#x202F;50,495); (2) missing data needed for calculating phenotypic age and PhenoAgeAccel (n&#x202F;=&#x202F;15,696); (3) absence of CHD information (n&#x202F;=&#x202F;40); (4) missing dietary micronutrient data (n&#x202F;=&#x202F;805); (5) missing education information (n&#x202F;=&#x202F;4); and (6) missing data on PIR, BMI, smoking, hypertension, or alcohol use (n&#x202F;=&#x202F;475). The final analytical sample included 2,675 participants (<xref ref-type="fig" rid="fig1">Figure 1</xref>).</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>Flowchart illustrating the study design and participant selection process.</p>
</caption>
<graphic xlink:href="fnut-12-1666644-g001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Flowchart detailing participant selection from NHANES 2005-2018. Initial 70,190 participants were filtered by excluding those under 50, with uncalculable or accelerated phenotypic age, missing coronary heart disease or dietary information. From 3,154 initially included, further exclusions were made for missing education, family income, BMI, smoking, hypertension, and drinking data, resulting in 2,675 final participants.</alt-text>
</graphic>
</fig>
</sec>
<sec id="sec8">
<title>Assessment of dietary micronutrients</title>
<p>Micronutrient intake, including vitamins and carbohydrates, was assessed using 24-h dietary recall data collected during the first and second interview days of NHANES. The first interview was conducted in person at the Mobile Examination Center (MEC), while the second was administered by telephone several days later. Both interviews were conducted by trained professionals using the Automated Multiple-Pass Method (AMPM), which enables comprehensive and standardized documentation of food and beverage consumption.</p>
</sec>
<sec id="sec9">
<title>Assessment of coronary heart disease</title>
<p>CHD status was determined based on participants&#x2019; self-reported physician diagnoses, including &#x201C;coronary heart disease,&#x201D; &#x201C;angina pectoris,&#x201D; and &#x201C;heart attack.&#x201D; Data were collected through in-person interviews conducted by trained personnel using the Computer-Assisted Personal Interviewing (CAPI) system. Relevant items were derived from the Medical Conditions Questionnaire (MCQ). Participants were classified as having CHD if they responded &#x201C;yes&#x201D; to any of the diagnoses of &#x201C;coronary heart disease,&#x201D; &#x201C;angina pectoris,&#x201D; or &#x201C;heart attack.&#x201D;</p>
</sec>
<sec id="sec10">
<title>Assessment of phenotypic age and PhenoAgeAccel</title>
<p>Phenotypic age was calculated using the algorithm developed by Levine et al., which integrates chronological age with nine biomarkers: albumin, creatinine, glucose, log-transformed C-reactive protein (CRP), lymphocyte percentage, mean cell volume, red cell distribution width, alkaline phosphatase, and white blood cell count. The calculation was performed using a Cox proportional hazards elastic net model with 10-fold cross-validation. Phenotypic age acceleration was defined as the residual from a linear regression of phenotypic age on chronological age. Negative values indicated a biologically younger state, while positive values indicated a biologically older state. The complete formula used in the calculation is provided below:</p>
<disp-formula id="E1">
<mml:math id="M1">
<mml:mtext mathvariant="italic">Phenotypic</mml:mtext>
<mml:mspace width="0.25em"/>
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<mml:mo>=</mml:mo>
<mml:mn>141.50</mml:mn>
<mml:mo>+</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mo>ln</mml:mo>
<mml:mo stretchy="true">[</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.00553</mml:mn>
<mml:mo>&#x00D7;</mml:mo>
<mml:mo>ln</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>M</mml:mi>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo stretchy="true">]</mml:mo>
</mml:mrow>
<mml:mn>0.09165</mml:mn>
</mml:mfrac>
</mml:math>
</disp-formula>
<p>Where</p>
<disp-formula id="E2">
<mml:math id="M2">
<mml:mi>M</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mo>exp</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1.51714</mml:mn>
<mml:mo>&#x00D7;</mml:mo>
<mml:mo>exp</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:mi mathvariant="italic">xb</mml:mi>
<mml:mo stretchy="true">)</mml:mo>
</mml:mrow>
<mml:mn>0.0076927</mml:mn>
</mml:mfrac>
<mml:mo stretchy="true">)</mml:mo>
</mml:math>
</disp-formula>
<disp-formula id="E3">
<mml:math id="M3">
<mml:mtable columnalign="left" displaystyle="true">
<mml:mtr>
<mml:mtd>
<mml:mi mathvariant="italic">xb</mml:mi>
<mml:mo>=</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>19.907</mml:mn>
<mml:mo>+</mml:mo>
<mml:mn>0.0804</mml:mn>
<mml:mo>&#x00D7;</mml:mo>
<mml:mtext mathvariant="italic">ChronologicalAge</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.0336</mml:mn>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mo>&#x00D7;</mml:mo>
<mml:mtext mathvariant="italic">Albumin</mml:mtext>
<mml:mo>+</mml:mo>
<mml:mn>0.0095</mml:mn>
<mml:mo>&#x00D7;</mml:mo>
<mml:mtext mathvariant="italic">Creatinine</mml:mtext>
<mml:mo>+</mml:mo>
<mml:mn>0.1953</mml:mn>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mo>&#x00D7;</mml:mo>
<mml:mtext mathvariant="italic">Glucose</mml:mtext>
<mml:mo>+</mml:mo>
<mml:mn>0.0954</mml:mn>
<mml:mo>&#x00D7;</mml:mo>
<mml:mo>ln</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:mi mathvariant="italic">CRP</mml:mi>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.0120</mml:mn>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mo>&#x00D7;</mml:mo>
<mml:mtext mathvariant="italic">LymphocytePercent</mml:mtext>
<mml:mo>+</mml:mo>
<mml:mn>0.0268</mml:mn>
<mml:mo>&#x00D7;</mml:mo>
<mml:mtext mathvariant="italic">MeanCellVolume</mml:mtext>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mo>+</mml:mo>
<mml:mn>0.3306</mml:mn>
<mml:mo>&#x00D7;</mml:mo>
<mml:mtext mathvariant="italic">RedCellDistributionWidth</mml:mtext>
<mml:mo>+</mml:mo>
<mml:mn>0.00188</mml:mn>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mo>&#x00D7;</mml:mo>
<mml:mtext mathvariant="italic">AlkalinePhosphatase</mml:mtext>
<mml:mo>+</mml:mo>
<mml:mn>0.0554</mml:mn>
<mml:mo>&#x00D7;</mml:mo>
<mml:mtext mathvariant="italic">WhiteBloodCellCount</mml:mtext>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
</disp-formula>
</sec>
<sec id="sec11">
<title>Covariates</title>
<p>Sociodemographic and lifestyle covariates included age, sex, race/ethnicity (Mexican American, Other Hispanic, Non-Hispanic White, Non-Hispanic Black, Other Race), education level (&#x003C;9th grade, 9&#x2013;11th grade, high school diploma/GED, some college/AA degree, &#x2265;college graduate), family income-to-poverty ratio (PIR), BMI, smoking status, alcohol use, hypertension, and diabetes. Hypertension was defined as a self-reported physician diagnosis and current use of antihypertensive medication. Diabetes was defined as physician-diagnosed diabetes, a 2-h OGTT glucose &#x2265;11.1&#x202F;mmol/L, or fasting glucose &#x2265;7.0&#x202F;mmol/L. Prediabetes was defined as a prior diagnosis or intermediate glucose levels (2-h glucose 7.8&#x2013;11.1&#x202F;mmol/L or fasting glucose 6.1&#x2013;6.9&#x202F;mmol/L). Smoking status was categorized as never/long-term former (never smoked or quit &#x003E;1&#x202F;year ago) or current smoker (smoked within the past 30&#x202F;days, smoked upon waking, or smoked &#x003E;2 cigarettes/day after quitting). Drinking status was classified as lifetime abstainer (&#x003C;12 drinks in lifetime) or current drinker (&#x2265;12 drinks/year or drinking on &#x003E;6 occasions in the past 12&#x202F;months). BMI was calculated as weight in kilograms divided by height in meters squared (kg/m<sup>2</sup>).</p>
</sec>
<sec id="sec12">
<title>Feature preprocessing and selection for machine learning</title>
<p>A total of 56 features were considered, including 49 continuous and 7 categorical variables. Features with variance inflation factors (VIF)&#x202F;&#x003E;&#x202F;3, adjusted for degrees of freedom, were excluded to reduce multicollinearity. To address class imbalance and improve recognition of the minority class, the Synthetic Minority Over-sampling Technique (SMOTE) was applied. SMOTE generates synthetic data points by interpolating between existing samples and their k-nearest neighbors, thereby enhancing dataset balance (<xref ref-type="supplementary-material" rid="SM3">Supplementary Figure 1</xref>). All variables were standardized to minimize disproportionate influence due to differing scales.</p>
<p>Feature selection was performed using the Boruta algorithm, a random forest-based method that evaluates feature importance over 500 iterations by comparing real features with randomized shadow features. Only features classified as &#x201C;confirmed&#x201D; were retained for model development.</p>
</sec>
<sec id="sec13">
<title>Statistical analyses</title>
<p>All statistical procedures followed NHANES analytical guidelines. Continuous variables were presented as means&#x202F;&#x00B1;&#x202F;standard deviations (SD), and categorical variables as frequencies and percentages. Group comparisons used chi-square tests for categorical variables and Student&#x2019;s t-tests for continuous variables. To examine the joint effect of dietary micronutrient mixtures on CHD in older adults with accelerated aging, Weighted Quantile Sum (WQS) regression was employed. Weights for each nutrient component were estimated using 1,000 bootstrap iterations. Data were randomly split into training (60%) and testing (40%) sets to enhance model reliability.</p>
<p>To avoid overfitting, a 6:4 training-validation split was maintained throughout model construction. Six machine learning models were developed using the MLR3 framework: Random Forest, LightGBM, K-Nearest Neighbors (KNN), Naive Bayes, Support Vector Machine (SVM), and XGBoost. Random Forest: Aggregates multiple decision trees to deliver robust predictions and is inherently resistant to overfitting. LightGBM: An efficient gradient-boosted decision tree model optimized for speed, memory usage, and parallel computation. K-NN: Classifies samples based on proximity to neighbors; performs well on small or non-linear datasets. Naive Bayes: A fast, probabilistic classifier based on Bayes&#x2019; theorem, effective even with missing values. SVM: Identifies optimal hyperplanes to separate classes, particularly effective in high-dimensional data. XGBoost: A highly efficient gradient boosting framework that balances accuracy and computational efficiency.</p>
<p>Model performance was evaluated using standardized datasets and the following six metrics: accuracy, F beta score, area under the ROC curve (AUC-ROC), sensitivity, specificity, and area under the precision-recall curve (AUC-PR). AUC-ROC was used as the primary evaluation metric. Ten-fold cross-validation was applied to enhance generalizability. ANOVA and Kruskal-Wallis H tests were used to compare model performance metrics.</p>
<p>To enhance model interpretability, SHAP (SHapley Additive exPlanations) and LIME (Local Interpretable Model-Agnostic Explanations) were used. SHAP, grounded in cooperative game theory, quantifies each feature&#x2019;s contribution by considering all feature combinations, thus offering transparent and consistent interpretations. LIME creates interpretable local approximations (e.g., linear models) to explain predictions made by complex models.</p>
<p>All statistical analyses were conducted using IBM SPSS Statistics (version 24.0) and R (version 4.5.0). A two-tailed <italic>p</italic>-value &#x003C; 0.05 was considered statistically significant.</p>
</sec>
</sec>
<sec sec-type="results" id="sec14">
<title>Results</title>
<sec id="sec15">
<title>Participant characteristics by coronary heart disease status</title>
<p><xref ref-type="table" rid="tab1">Table 1</xref> presents baseline characteristics of older adults aged 50&#x202F;years and above with accelerated aging, stratified by CHD status. A total of 2,675 participants from NHANES 2005&#x2013;2018 were included. The mean age was 65.62&#x202F;years (SD&#x202F;=&#x202F;9.38), comprising 902 females (33.72%) and 1,773 males (66.28%). Among them, 565 individuals were diagnosed with CHD, with a higher mean age of 69.53&#x202F;years (SD&#x202F;=&#x202F;8.52).</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Baseline characteristics of the study participants.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Characteristic</th>
<th align="center" valign="top">Overall<break/><italic>N</italic>&#x202F;=&#x202F;2,675</th>
<th align="center" valign="top">No Coronary heart disease<break/><italic>N</italic>&#x202F;=&#x202F;2,110</th>
<th align="center" valign="top">Coronary heart disease<break/><italic>N</italic>&#x202F;=&#x202F;565</th>
<th align="center" valign="top"><italic>p</italic></th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Age (year)<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">65.62&#x202F;&#x00B1;&#x202F;9.38</td>
<td align="center" valign="top">64.57&#x202F;&#x00B1;&#x202F;9.33</td>
<td align="center" valign="top">69.53&#x202F;&#x00B1;&#x202F;8.52</td>
<td align="center" valign="top">&#x003C;0.001</td>
</tr>
<tr>
<td align="left" valign="top">Sex<xref ref-type="table-fn" rid="tfn2"><sup>b</sup></xref>, <italic>n</italic> (%)</td>
<td/>
<td/>
<td/>
<td align="center" valign="top">&#x003C;0.001</td>
</tr>
<tr>
<td align="left" valign="top">&#x2003;Female</td>
<td align="center" valign="top">902 (33.72%)</td>
<td align="center" valign="top">754 (35.73%)</td>
<td align="center" valign="top">148 (26.19%)</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">&#x2003;Male</td>
<td align="center" valign="top">1,773 (66.28%)</td>
<td align="center" valign="top">1,356 (64.27%)</td>
<td align="center" valign="top">417 (73.81%)</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Race/ethnicity<xref ref-type="table-fn" rid="tfn2"><sup>b</sup></xref>, <italic>n</italic> (%)</td>
<td/>
<td/>
<td/>
<td align="center" valign="top">&#x003C;0.001</td>
</tr>
<tr>
<td align="left" valign="top">&#x2003;Mexican</td>
<td align="center" valign="top">354 (13.23%)</td>
<td align="center" valign="top">303 (14.36%)</td>
<td align="center" valign="top">51 (9.03%)</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">&#x2003;Other Hispanic</td>
<td align="center" valign="top">254 (9.50%)</td>
<td align="center" valign="top">207 (9.81%)</td>
<td align="center" valign="top">47 (8.32%)</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">&#x2003;Non-Hispanic White</td>
<td align="center" valign="top">1,253 (46.84%)</td>
<td align="center" valign="top">921 (43.65%)</td>
<td align="center" valign="top">332 (58.76%)</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">&#x2003;Non-Hispanic Black</td>
<td align="center" valign="top">652 (24.37%)</td>
<td align="center" valign="top">552 (26.16%)</td>
<td align="center" valign="top">100 (17.70%)</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">&#x2003;Other Race</td>
<td align="center" valign="top">162 (6.06%)</td>
<td align="center" valign="top">127 (6.02%)</td>
<td align="center" valign="top">35 (6.19%)</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Education<xref ref-type="table-fn" rid="tfn2"><sup>b</sup></xref>, <italic>n</italic> (%)</td>
<td/>
<td/>
<td/>
<td align="center" valign="top">0.569</td>
</tr>
<tr>
<td align="left" valign="top">&#x2003;Less Than 9th</td>
<td align="center" valign="top">378 (14.13%)</td>
<td align="center" valign="top">289 (13.70%)</td>
<td align="center" valign="top">89 (15.75%)</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">&#x2003;9&#x2013;11th</td>
<td align="center" valign="top">418 (15.63%)</td>
<td align="center" valign="top">328 (15.55%)</td>
<td align="center" valign="top">90 (15.93%)</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">&#x2003;High School</td>
<td align="center" valign="top">700 (26.17%)</td>
<td align="center" valign="top">554 (26.26%)</td>
<td align="center" valign="top">146 (25.84%)</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">&#x2003;Some College</td>
<td align="center" valign="top">741 (27.70%)</td>
<td align="center" valign="top">583 (27.63%)</td>
<td align="center" valign="top">158 (27.96%)</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">&#x2003;College Graduate</td>
<td align="center" valign="top">438 (16.37%)</td>
<td align="center" valign="top">356 (16.87%)</td>
<td align="center" valign="top">82 (14.51%)</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Family income to poverty ratio<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">2.36&#x202F;&#x00B1;&#x202F;1.53</td>
<td align="center" valign="top">2.39&#x202F;&#x00B1;&#x202F;1.55</td>
<td align="center" valign="top">2.24&#x202F;&#x00B1;&#x202F;1.46</td>
<td align="center" valign="top">0.082</td>
</tr>
<tr>
<td align="left" valign="top">BMI<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">31.62&#x202F;&#x00B1;&#x202F;7.65</td>
<td align="center" valign="top">31.59&#x202F;&#x00B1;&#x202F;7.74</td>
<td align="center" valign="top">31.74&#x202F;&#x00B1;&#x202F;7.27</td>
<td align="center" valign="top">0.277</td>
</tr>
<tr>
<td align="left" valign="top">Smoking status<xref ref-type="table-fn" rid="tfn2"><sup>b</sup></xref>, <italic>n</italic> (%)</td>
<td/>
<td/>
<td/>
<td align="center" valign="top">0.223</td>
</tr>
<tr>
<td align="left" valign="top">&#x2003;No</td>
<td align="center" valign="top">2,075 (77.57%)</td>
<td align="center" valign="top">1,626 (77.06%)</td>
<td align="center" valign="top">449 (79.47%)</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">&#x2003;Yes</td>
<td align="center" valign="top">600 (22.43%)</td>
<td align="center" valign="top">484 (22.94%)</td>
<td align="center" valign="top">116 (20.53%)</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Drinking status<xref ref-type="table-fn" rid="tfn2"><sup>b</sup></xref>, <italic>n</italic> (%)</td>
<td/>
<td/>
<td/>
<td align="center" valign="top">0.890</td>
</tr>
<tr>
<td align="left" valign="top">&#x2003;No</td>
<td align="center" valign="top">336 (12.56%)</td>
<td align="center" valign="top">266 (12.61%)</td>
<td align="center" valign="top">70 (12.39%)</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">&#x2003;Yes</td>
<td align="center" valign="top">2,339 (87.44%)</td>
<td align="center" valign="top">1,844 (87.39%)</td>
<td align="center" valign="top">495 (87.61%)</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Hypertension<xref ref-type="table-fn" rid="tfn2"><sup>b</sup></xref>, <italic>n</italic> (%)</td>
<td/>
<td/>
<td/>
<td align="center" valign="top">&#x003C;0.001</td>
</tr>
<tr>
<td align="left" valign="top">&#x2003;No</td>
<td align="center" valign="top">892 (33.35%)</td>
<td align="center" valign="top">780 (36.97%)</td>
<td align="center" valign="top">112 (19.82%)</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">&#x2003;Yes</td>
<td align="center" valign="top">1,783 (66.65%)</td>
<td align="center" valign="top">1,330 (63.03%)</td>
<td align="center" valign="top">453 (80.18%)</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Diabetes<xref ref-type="table-fn" rid="tfn2"><sup>b</sup></xref>, <italic>n</italic> (%)</td>
<td/>
<td/>
<td/>
<td align="center" valign="top">&#x003C;0.001</td>
</tr>
<tr>
<td align="left" valign="top">&#x2003;No</td>
<td align="center" valign="top">1,230 (45.98%)</td>
<td align="center" valign="top">1,025 (48.58%)</td>
<td align="center" valign="top">205 (36.28%)</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">&#x2003;Yes</td>
<td align="center" valign="top">1,100 (41.12%)</td>
<td align="center" valign="top">816 (38.67%)</td>
<td align="center" valign="top">284 (50.27%)</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">&#x2003;Borderline</td>
<td align="center" valign="top">345 (12.90%)</td>
<td align="center" valign="top">269 (12.75%)</td>
<td align="center" valign="top">76 (13.45%)</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Energy<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">1,971.27&#x202F;&#x00B1;&#x202F;918.15</td>
<td align="center" valign="top">2,008.67&#x202F;&#x00B1;&#x202F;934.49</td>
<td align="center" valign="top">1,831.58&#x202F;&#x00B1;&#x202F;840.57</td>
<td align="center" valign="top">&#x003C;0.001</td>
</tr>
<tr>
<td align="left" valign="top">Protein<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">75.36&#x202F;&#x00B1;&#x202F;39.56</td>
<td align="center" valign="top">76.52&#x202F;&#x00B1;&#x202F;40.27</td>
<td align="center" valign="top">71.01&#x202F;&#x00B1;&#x202F;36.53</td>
<td align="center" valign="top">0.002</td>
</tr>
<tr>
<td align="left" valign="top">Carbohydrate<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">235.33&#x202F;&#x00B1;&#x202F;115.75</td>
<td align="center" valign="top">240.12&#x202F;&#x00B1;&#x202F;117.63</td>
<td align="center" valign="top">217.45&#x202F;&#x00B1;&#x202F;106.66</td>
<td align="center" valign="top">&#x003C;0.001</td>
</tr>
<tr>
<td align="left" valign="top">Total Sugar<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">103.11&#x202F;&#x00B1;&#x202F;71.17</td>
<td align="center" valign="top">105.44&#x202F;&#x00B1;&#x202F;72.29</td>
<td align="center" valign="top">94.39&#x202F;&#x00B1;&#x202F;66.16</td>
<td align="center" valign="top">&#x003C;0.001</td>
</tr>
<tr>
<td align="left" valign="top">Dietary fiber<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">15.47&#x202F;&#x00B1;&#x202F;9.64</td>
<td align="center" valign="top">15.71&#x202F;&#x00B1;&#x202F;9.77</td>
<td align="center" valign="top">14.57&#x202F;&#x00B1;&#x202F;9.06</td>
<td align="center" valign="top">0.022</td>
</tr>
<tr>
<td align="left" valign="top">Total Fat<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">77.20&#x202F;&#x00B1;&#x202F;44.99</td>
<td align="center" valign="top">78.21&#x202F;&#x00B1;&#x202F;45.62</td>
<td align="center" valign="top">73.43&#x202F;&#x00B1;&#x202F;42.40</td>
<td align="center" valign="top">0.033</td>
</tr>
<tr>
<td align="left" valign="top">Saturated fatty acids<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">25.12&#x202F;&#x00B1;&#x202F;16.12</td>
<td align="center" valign="top">25.42&#x202F;&#x00B1;&#x202F;16.55</td>
<td align="center" valign="top">23.97&#x202F;&#x00B1;&#x202F;14.32</td>
<td align="center" valign="top">0.176</td>
</tr>
<tr>
<td align="left" valign="top">Monounsaturated fatty acids<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">27.60&#x202F;&#x00B1;&#x202F;16.77</td>
<td align="center" valign="top">27.92&#x202F;&#x00B1;&#x202F;17.01</td>
<td align="center" valign="top">26.43&#x202F;&#x00B1;&#x202F;15.80</td>
<td align="center" valign="top">0.090</td>
</tr>
<tr>
<td align="left" valign="top">Polyunsaturated fatty acids<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">17.40&#x202F;&#x00B1;&#x202F;11.91</td>
<td align="center" valign="top">17.68&#x202F;&#x00B1;&#x202F;11.93</td>
<td align="center" valign="top">16.38&#x202F;&#x00B1;&#x202F;11.78</td>
<td align="center" valign="top">0.006</td>
</tr>
<tr>
<td align="left" valign="top">Cholesterol<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">291.70&#x202F;&#x00B1;&#x202F;231.02</td>
<td align="center" valign="top">292.37&#x202F;&#x00B1;&#x202F;232.67</td>
<td align="center" valign="top">289.21&#x202F;&#x00B1;&#x202F;224.97</td>
<td align="center" valign="top">0.659</td>
</tr>
<tr>
<td align="left" valign="top">Vitamin E as alpha-tocopherol<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">7.50&#x202F;&#x00B1;&#x202F;5.63</td>
<td align="center" valign="top">7.57&#x202F;&#x00B1;&#x202F;5.67</td>
<td align="center" valign="top">7.24&#x202F;&#x00B1;&#x202F;5.50</td>
<td align="center" valign="top">0.083</td>
</tr>
<tr>
<td align="left" valign="top">Alpha-tocopherol<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">0.53&#x202F;&#x00B1;&#x202F;2.91</td>
<td align="center" valign="top">0.48&#x202F;&#x00B1;&#x202F;2.84</td>
<td align="center" valign="top">0.72&#x202F;&#x00B1;&#x202F;3.17</td>
<td align="center" valign="top">0.033</td>
</tr>
<tr>
<td align="left" valign="top">Retinol<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">395.43&#x202F;&#x00B1;&#x202F;618.31</td>
<td align="center" valign="top">394.87&#x202F;&#x00B1;&#x202F;662.97</td>
<td align="center" valign="top">397.55&#x202F;&#x00B1;&#x202F;411.10</td>
<td align="center" valign="top">0.123</td>
</tr>
<tr>
<td align="left" valign="top">Vitamin A<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">578.41&#x202F;&#x00B1;&#x202F;707.99</td>
<td align="center" valign="top">582.42&#x202F;&#x00B1;&#x202F;754.49</td>
<td align="center" valign="top">563.44&#x202F;&#x00B1;&#x202F;497.50</td>
<td align="center" valign="top">0.267</td>
</tr>
<tr>
<td align="left" valign="top">Alpha-carotene<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">345.59&#x202F;&#x00B1;&#x202F;898.35</td>
<td align="center" valign="top">352.58&#x202F;&#x00B1;&#x202F;918.80</td>
<td align="center" valign="top">319.46&#x202F;&#x00B1;&#x202F;817.71</td>
<td align="center" valign="top">0.039</td>
</tr>
<tr>
<td align="left" valign="top">Beta-carotene<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">1,982.71&#x202F;&#x00B1;&#x202F;3,694.98</td>
<td align="center" valign="top">2,033.20&#x202F;&#x00B1;&#x202F;3,816.71</td>
<td align="center" valign="top">1,794.13&#x202F;&#x00B1;&#x202F;3,195.70</td>
<td align="center" valign="top">0.445</td>
</tr>
<tr>
<td align="left" valign="top">Beta-cryptoxanthin<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">86.14&#x202F;&#x00B1;&#x202F;264.65</td>
<td align="center" valign="top">87.98&#x202F;&#x00B1;&#x202F;289.00</td>
<td align="center" valign="top">79.30&#x202F;&#x00B1;&#x202F;140.33</td>
<td align="center" valign="top">0.529</td>
</tr>
<tr>
<td align="left" valign="top">Lycopene<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">4,565.04&#x202F;&#x00B1;&#x202F;8,506.70</td>
<td align="center" valign="top">4,499.93&#x202F;&#x00B1;&#x202F;8,441.73</td>
<td align="center" valign="top">4,808.19&#x202F;&#x00B1;&#x202F;8,748.41</td>
<td align="center" valign="top">0.562</td>
</tr>
<tr>
<td align="left" valign="top">Lutein+zeaxanthin<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">1,338.33&#x202F;&#x00B1;&#x202F;3,167.69</td>
<td align="center" valign="top">1,394.34&#x202F;&#x00B1;&#x202F;3,406.23</td>
<td align="center" valign="top">1,129.16&#x202F;&#x00B1;&#x202F;2,032.86</td>
<td align="center" valign="top">0.406</td>
</tr>
<tr>
<td align="left" valign="top">Thiamin(Vitamin B1)<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">1.50&#x202F;&#x00B1;&#x202F;0.84</td>
<td align="center" valign="top">1.51&#x202F;&#x00B1;&#x202F;0.85</td>
<td align="center" valign="top">1.48&#x202F;&#x00B1;&#x202F;0.81</td>
<td align="center" valign="top">0.584</td>
</tr>
<tr>
<td align="left" valign="top">Riboflavin(Vitamin B2)<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">1.94&#x202F;&#x00B1;&#x202F;1.15</td>
<td align="center" valign="top">1.94&#x202F;&#x00B1;&#x202F;1.18</td>
<td align="center" valign="top">1.93&#x202F;&#x00B1;&#x202F;1.05</td>
<td align="center" valign="top">0.476</td>
</tr>
<tr>
<td align="left" valign="top">Niacin<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">23.22&#x202F;&#x00B1;&#x202F;14.03</td>
<td align="center" valign="top">23.56&#x202F;&#x00B1;&#x202F;14.41</td>
<td align="center" valign="top">21.94&#x202F;&#x00B1;&#x202F;12.45</td>
<td align="center" valign="top">0.022</td>
</tr>
<tr>
<td align="left" valign="top">Vitamin B6<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">1.86&#x202F;&#x00B1;&#x202F;1.57</td>
<td align="center" valign="top">1.89&#x202F;&#x00B1;&#x202F;1.67</td>
<td align="center" valign="top">1.74&#x202F;&#x00B1;&#x202F;1.13</td>
<td align="center" valign="top">0.030</td>
</tr>
<tr>
<td align="left" valign="top">Total folate<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">359.27&#x202F;&#x00B1;&#x202F;219.72</td>
<td align="center" valign="top">364.50&#x202F;&#x00B1;&#x202F;224.21</td>
<td align="center" valign="top">339.76&#x202F;&#x00B1;&#x202F;201.08</td>
<td align="center" valign="top">0.037</td>
</tr>
<tr>
<td align="left" valign="top">Folic acid<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">161.28&#x202F;&#x00B1;&#x202F;156.60</td>
<td align="center" valign="top">161.52&#x202F;&#x00B1;&#x202F;158.70</td>
<td align="center" valign="top">160.40&#x202F;&#x00B1;&#x202F;148.66</td>
<td align="center" valign="top">0.957</td>
</tr>
<tr>
<td align="left" valign="top">Food folate<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">198.16&#x202F;&#x00B1;&#x202F;124.77</td>
<td align="center" valign="top">203.16&#x202F;&#x00B1;&#x202F;129.80</td>
<td align="center" valign="top">179.48&#x202F;&#x00B1;&#x202F;101.80</td>
<td align="center" valign="top">0.003</td>
</tr>
<tr>
<td align="left" valign="top">Folate(DFE)<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">472.04&#x202F;&#x00B1;&#x202F;316.79</td>
<td align="center" valign="top">477.42&#x202F;&#x00B1;&#x202F;321.93</td>
<td align="center" valign="top">451.96&#x202F;&#x00B1;&#x202F;296.24</td>
<td align="center" valign="top">0.088</td>
</tr>
<tr>
<td align="left" valign="top">Total choline<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">323.88&#x202F;&#x00B1;&#x202F;191.64</td>
<td align="center" valign="top">326.43&#x202F;&#x00B1;&#x202F;195.87</td>
<td align="center" valign="top">314.39&#x202F;&#x00B1;&#x202F;174.79</td>
<td align="center" valign="top">0.357</td>
</tr>
<tr>
<td align="left" valign="top">Vitamin B12<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">4.86&#x202F;&#x00B1;&#x202F;8.49</td>
<td align="center" valign="top">4.95&#x202F;&#x00B1;&#x202F;9.26</td>
<td align="center" valign="top">4.55&#x202F;&#x00B1;&#x202F;4.58</td>
<td align="center" valign="top">0.780</td>
</tr>
<tr>
<td align="left" valign="top">Added vitamin B12<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">0.73&#x202F;&#x00B1;&#x202F;2.20</td>
<td align="center" valign="top">0.72&#x202F;&#x00B1;&#x202F;2.29</td>
<td align="center" valign="top">0.75&#x202F;&#x00B1;&#x202F;1.83</td>
<td align="center" valign="top">0.039</td>
</tr>
<tr>
<td align="left" valign="top">Vitamin C<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">74.65&#x202F;&#x00B1;&#x202F;83.18</td>
<td align="center" valign="top">75.96&#x202F;&#x00B1;&#x202F;85.07</td>
<td align="center" valign="top">69.74&#x202F;&#x00B1;&#x202F;75.61</td>
<td align="center" valign="top">0.156</td>
</tr>
<tr>
<td align="left" valign="top">Vitamin K<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">98.85&#x202F;&#x00B1;&#x202F;152.05</td>
<td align="center" valign="top">102.20&#x202F;&#x00B1;&#x202F;161.70</td>
<td align="center" valign="top">86.33&#x202F;&#x00B1;&#x202F;107.84</td>
<td align="center" valign="top">0.105</td>
</tr>
<tr>
<td align="left" valign="top">Calcium<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">836.60&#x202F;&#x00B1;&#x202F;529.90</td>
<td align="center" valign="top">843.63&#x202F;&#x00B1;&#x202F;528.26</td>
<td align="center" valign="top">810.39&#x202F;&#x00B1;&#x202F;535.66</td>
<td align="center" valign="top">0.160</td>
</tr>
<tr>
<td align="left" valign="top">Phosphorus<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">1,244.26&#x202F;&#x00B1;&#x202F;625.51</td>
<td align="center" valign="top">1,261.34&#x202F;&#x00B1;&#x202F;632.24</td>
<td align="center" valign="top">1,180.50&#x202F;&#x00B1;&#x202F;595.94</td>
<td align="center" valign="top">0.005</td>
</tr>
<tr>
<td align="left" valign="top">Magnesium<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">271.52&#x202F;&#x00B1;&#x202F;135.99</td>
<td align="center" valign="top">275.97&#x202F;&#x00B1;&#x202F;137.87</td>
<td align="center" valign="top">254.89&#x202F;&#x00B1;&#x202F;127.48</td>
<td align="center" valign="top">0.001</td>
</tr>
<tr>
<td align="left" valign="top">Iron<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">13.81&#x202F;&#x00B1;&#x202F;8.41</td>
<td align="center" valign="top">13.79&#x202F;&#x00B1;&#x202F;8.28</td>
<td align="center" valign="top">13.90&#x202F;&#x00B1;&#x202F;8.87</td>
<td align="center" valign="top">0.952</td>
</tr>
<tr>
<td align="left" valign="top">Zinc<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">10.99&#x202F;&#x00B1;&#x202F;14.10</td>
<td align="center" valign="top">10.98&#x202F;&#x00B1;&#x202F;14.08</td>
<td align="center" valign="top">11.03&#x202F;&#x00B1;&#x202F;14.22</td>
<td align="center" valign="top">0.367</td>
</tr>
<tr>
<td align="left" valign="top">Copper<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">1.20&#x202F;&#x00B1;&#x202F;1.43</td>
<td align="center" valign="top">1.22&#x202F;&#x00B1;&#x202F;1.54</td>
<td align="center" valign="top">1.13&#x202F;&#x00B1;&#x202F;0.90</td>
<td align="center" valign="top">0.019</td>
</tr>
<tr>
<td align="left" valign="top">Sodium<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">3,277.70&#x202F;&#x00B1;&#x202F;1,763.71</td>
<td align="center" valign="top">3,307.91&#x202F;&#x00B1;&#x202F;1,794.91</td>
<td align="center" valign="top">3,164.90&#x202F;&#x00B1;&#x202F;1,638.56</td>
<td align="center" valign="top">0.130</td>
</tr>
<tr>
<td align="left" valign="top">Potassium<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">2,508.32&#x202F;&#x00B1;&#x202F;1,213.01</td>
<td align="center" valign="top">2,539.28&#x202F;&#x00B1;&#x202F;1,230.03</td>
<td align="center" valign="top">2,392.68&#x202F;&#x00B1;&#x202F;1,140.89</td>
<td align="center" valign="top">0.032</td>
</tr>
<tr>
<td align="left" valign="top">Selenium<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">105.70&#x202F;&#x00B1;&#x202F;63.20</td>
<td align="center" valign="top">106.97&#x202F;&#x00B1;&#x202F;64.98</td>
<td align="center" valign="top">100.98&#x202F;&#x00B1;&#x202F;55.86</td>
<td align="center" valign="top">0.042</td>
</tr>
<tr>
<td align="left" valign="top">Caffeine<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">170.96&#x202F;&#x00B1;&#x202F;224.48</td>
<td align="center" valign="top">166.99&#x202F;&#x00B1;&#x202F;216.42</td>
<td align="center" valign="top">185.78&#x202F;&#x00B1;&#x202F;251.98</td>
<td align="center" valign="top">0.101</td>
</tr>
<tr>
<td align="left" valign="top">Theobromine<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">33.82&#x202F;&#x00B1;&#x202F;75.45</td>
<td align="center" valign="top">34.76&#x202F;&#x00B1;&#x202F;79.88</td>
<td align="center" valign="top">30.33&#x202F;&#x00B1;&#x202F;55.81</td>
<td align="center" valign="top">0.667</td>
</tr>
<tr>
<td align="left" valign="top">Alcohol<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">8.25&#x202F;&#x00B1;&#x202F;24.60</td>
<td align="center" valign="top">8.94&#x202F;&#x00B1;&#x202F;25.57</td>
<td align="center" valign="top">5.67&#x202F;&#x00B1;&#x202F;20.38</td>
<td align="center" valign="top">0.005</td>
</tr>
<tr>
<td align="left" valign="top">Moisture<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">2,722.67&#x202F;&#x00B1;&#x202F;1,409.67</td>
<td align="center" valign="top">2,745.09&#x202F;&#x00B1;&#x202F;1,430.20</td>
<td align="center" valign="top">2,638.92&#x202F;&#x00B1;&#x202F;1,328.08</td>
<td align="center" valign="top">0.213</td>
</tr>
<tr>
<td align="left" valign="top">Vitamin D<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref>, Mean&#x202F;&#x00B1;&#x202F;SD</td>
<td align="center" valign="top">4.27&#x202F;&#x00B1;&#x202F;5.54</td>
<td align="center" valign="top">4.31&#x202F;&#x00B1;&#x202F;5.76</td>
<td align="center" valign="top">4.15&#x202F;&#x00B1;&#x202F;4.63</td>
<td align="center" valign="top">0.648</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>SD, standard deviation.</p>
<fn id="tfn1">
<label>a</label>
<p>Student <italic>t</italic>-test.</p>
</fn>
<fn id="tfn2">
<label>b</label>
<p>Chi-square test.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Compared with participants without CHD, those with CHD had significantly lower intakes of several dietary components, including energy (1,831.58 vs. 2,008.67&#x202F;kcal, <italic>p</italic>&#x202F;&#x003C;&#x202F;0.001), protein (71.01 vs. 76.52&#x202F;g, <italic>p</italic>&#x202F;=&#x202F;0.002), carbohydrates (217.45 vs. 240.12&#x202F;g, p&#x202F;&#x003C;&#x202F;0.001), total sugar (94.39 vs. 105.44&#x202F;g, p&#x202F;&#x003C;&#x202F;0.001), dietary fiber (14.57 vs. 15.71&#x202F;g, <italic>p</italic>&#x202F;=&#x202F;0.022), total fat (73.43 vs. 78.21&#x202F;g, <italic>p</italic>&#x202F;=&#x202F;0.033), polyunsaturated fatty acids (16.38 vs. 17.68&#x202F;g, <italic>p</italic>&#x202F;=&#x202F;0.006), alpha-carotene (319.46 vs. 352.58&#x202F;&#x03BC;g, <italic>p</italic>&#x202F;=&#x202F;0.039), niacin (21.94 vs. 23.56&#x202F;mg, p&#x202F;=&#x202F;0.022), vitamin B6 (1.74 vs. 1.89&#x202F;mg, <italic>p</italic>&#x202F;=&#x202F;0.030), total folate (364.50 vs. 339.76&#x202F;&#x03BC;g, <italic>p</italic>&#x202F;=&#x202F;0.037), food folate (179.48 vs. 203.16&#x202F;&#x03BC;g, <italic>p</italic>&#x202F;=&#x202F;0.003), phosphorus (1,180.50 vs. 1,261.34&#x202F;mg, <italic>p</italic>&#x202F;=&#x202F;0.005), magnesium (254.89 vs. 275.97&#x202F;mg, <italic>p</italic>&#x202F;=&#x202F;0.001), copper (1.13 vs. 1.22&#x202F;mg, <italic>p</italic>&#x202F;=&#x202F;0.019), potassium (2,392.68 vs. 2,539.28&#x202F;mg, <italic>p</italic>&#x202F;=&#x202F;0.032), selenium (100.98 vs. 106.97&#x202F;&#x03BC;g, <italic>p</italic>&#x202F;=&#x202F;0.042), and alcohol (5.67 vs. 8.94&#x202F;g, p&#x202F;=&#x202F;0.005).</p>
<p>In contrast, individuals with CHD had higher intakes of alpha-tocopherol (0.72 vs. 0.48&#x202F;mg, <italic>p</italic>&#x202F;&#x003C;&#x202F;0.033) and added vitamin B12 (0.75 vs. 0.72&#x202F;&#x03BC;g, <italic>p</italic>&#x202F;=&#x202F;0.039).</p>
</sec>
<sec id="sec16">
<title>Association between dietary nutrient mixtures and CHD risk</title>
<p><xref ref-type="table" rid="tab2">Table 2</xref> presents results from the WQS regression, which assessed associations between dietary nutrient mixtures and CHD risk in older adults with accelerated aging. After adjustment for potential confounders (age, sex, race/ethnicity, education, income-to-poverty ratio, BMI, smoking, and alcohol use), an inverse association was observed in the unconstrained model (adjusted OR&#x202F;=&#x202F;0.90; 95% CI: 0.81&#x2013;0.99; <italic>p</italic>&#x202F;=&#x202F;0.048). The primary contributors were alcohol (weight&#x202F;=&#x202F;0.281), selenium (0.108), protein (0.100), and cholesterol (0.063) (<xref ref-type="fig" rid="fig2">Figure 2</xref>; <xref ref-type="supplementary-material" rid="SM1">Supplementary Table 1</xref>). A similar trend was observed in the positively constrained model (adjusted OR&#x202F;=&#x202F;0.84; 95% CI: 0.70&#x2013;1.01; <italic>p</italic>&#x202F;=&#x202F;0.064), although not statistically significant. Major contributors included added vitamin B12 (0.430), alcohol (0.116), caffeine (0.103), and vitamin A (0.055) (<xref ref-type="fig" rid="fig3">Figure 3</xref>; <xref ref-type="supplementary-material" rid="SM2">Supplementary Table 2</xref>).</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Association between dietary nutrient mixtures and coronary heart disease risk in individuals aged &#x2265;50&#x202F;years with accelerated aging.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable</th>
<th align="center" valign="top">Estimate</th>
<th align="center" valign="top">Standard error</th>
<th align="center" valign="top">z value</th>
<th align="center" valign="top">OR (95% CI)</th>
<th align="center" valign="top">P value</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">WQS-Negative</td>
<td align="center" valign="middle">&#x2212;0.1066</td>
<td align="center" valign="middle">0.0539</td>
<td align="center" valign="middle">&#x2212;1.9784</td>
<td align="center" valign="middle">0.90 (0.81, 0.99)</td>
<td align="center" valign="middle">0.048 &#x002A;</td>
</tr>
<tr>
<td align="left" valign="middle">WQS-Positive</td>
<td align="center" valign="middle">&#x2212;0.1746</td>
<td align="center" valign="middle">0.0943</td>
<td align="center" valign="middle">&#x2212;1.8518</td>
<td align="center" valign="middle">0.84 (0.70, 1.01)</td>
<td align="center" valign="middle">0.064</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>WQS regression weight plot with unconstrained coefficients.</p>
</caption>
<graphic xlink:href="fnut-12-1666644-g002.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Bar chart showing various nutrients and their values, ranked from highest to lowest. Alcohol has the highest value, followed by selenium, protein, and cholesterol. Other nutrients listed include vitamins, fatty acids, minerals, and additional elements like dietary fiber and moisture, with Vitamin B2 having the least value.</alt-text>
</graphic>
</fig>
<fig position="float" id="fig3">
<label>Figure 3</label>
<caption>
<p>WQS regression weight plot with coefficients constrained to be positive.</p>
</caption>
<graphic xlink:href="fnut-12-1666644-g003.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Horizontal bar chart displaying the importance of various nutrients and substances. Added vitamin B12 is ranked highest, followed by alcohol, caffeine, vitamin A, and lycopene. Other nutrients such as vitamin K, vitamin B12, and dietary fiber are ranked lower. The chart highlights significant variations in the importance of these substances.</alt-text>
</graphic>
</fig>
</sec>
<sec id="sec17">
<title>Feature selection for machine learning models</title>
<p><xref ref-type="fig" rid="fig4">Figure 4</xref> displays VIFs used to detect multicollinearity. Variables with adjusted VIFs exceeding 3 were excluded, resulting in the removal of 20 dietary components. These included alcohol, alpha-carotene, beta-carotene, beta-cryptoxanthin, carbohydrates, energy, folate (DFE), folic acid, food folate, magnesium, monounsaturated fatty acids, phosphorus, polyunsaturated fatty acids, protein, retinol, saturated fatty acids, total choline, total fat, total folate, and vitamin A.</p>
<fig position="float" id="fig4">
<label>Figure 4</label>
<caption>
<p>Scatter plot of variance inflation factors (VIFs) across different features. Red points indicate the presence of multicollinearity, while blue points indicate its absence.</p>
</caption>
<graphic xlink:href="fnut-12-1666644-g004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Scatter plot showing adjusted variance inflation factor (VIF) for various variables with degrees of freedom. Red dots indicate high VIF (&#x003E;3) and blue dots indicate low VIF (&#x2264;3). The vertical axis ranges from 0 to 300, with several variables exceeding a VIF of 100, displayed with small red dots. Larger blue dots near the baseline signify low VIF, suggesting less multicollinearity for those variables. The degrees of freedom are represented by the size of the dots, ranging from 1 to 4.</alt-text>
</graphic>
</fig>
<p>The BORUTA algorithm then identified 36 variables with significant contributions to the comorbidity of diabetes and hypertension. These included 10 demographic variables (age, hypertension, sex, diabetes, race/ethnicity, income-to-poverty ratio, smoking, education, alcohol use, BMI) and 26 dietary factors (caffeine, added vitamin B12, theobromine, potassium, calcium, sodium, moisture, vitamins D, B2, K, niacin, cholesterol, B12, B1, selenium, iron, copper, B6, total sugar, zinc, dietary fiber, alpha-tocopherol, lutein + zeaxanthin, lycopene, vitamin E, and vitamin C) (<xref ref-type="fig" rid="fig5">Figure 5</xref>). <xref ref-type="supplementary-material" rid="SM4">Supplementary Figure 2</xref> shows Z-score trends across iterations for feature selection.</p>
<fig position="float" id="fig5">
<label>Figure 5</label>
<caption>
<p>Feature selection results using the BORUTA algorithm.</p>
</caption>
<graphic xlink:href="fnut-12-1666644-g005.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Violin plot showing the importance of various features on the x-axis, labeled by Z-score. Features include age, hypertension, diabetes, and various nutrients. Blue indicates confirmed features, while gray indicates shadow features. Importance ranges from negative to positive values, with several features showing high positive importance.</alt-text>
</graphic>
</fig>
</sec>
<sec id="sec18">
<title>Construction and evaluation of machine learning models</title>
<p><xref ref-type="fig" rid="fig6">Figures 6</xref> and <xref ref-type="fig" rid="fig7">7</xref> present heatmaps for six machine learning models: Random Forest, LightGBM, K-KNN, Naive Bayes, SVM, and XGBoost. These models were trained and validated using demographic and dietary variables. Performance was evaluated using AUC-ROC (<xref ref-type="fig" rid="fig8">Figures 8</xref>&#x2013;<xref ref-type="fig" rid="fig10">10</xref>), AUC-PR (<xref ref-type="fig" rid="fig11">Figures 11</xref>&#x2013;<xref ref-type="fig" rid="fig13">13</xref>), accuracy (<xref ref-type="fig" rid="fig14">Figure 14</xref>), F beta score (<xref ref-type="fig" rid="fig15">Figure 15</xref>), sensitivity (<xref ref-type="supplementary-material" rid="SM3">Supplementary Figure 1</xref>), and specificity (<xref ref-type="supplementary-material" rid="SM4">Supplementary Figure 2</xref>).</p>
<fig position="float" id="fig6">
<label>Figure 6</label>
<caption>
<p>Heatmap comparing the performance of six machine learning models incorporating both demographic characteristics and dietary nutrients. <bold>(A)</bold> Training set; <bold>(B)</bold> Validation set.</p>
</caption>
<graphic xlink:href="fnut-12-1666644-g006.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Heatmaps compare the performance of machine learning models with different evaluation metrics. The left panel (A) includes models like XGBoost and Naive Bayes. The right panel (B) shows metrics for another data set. The color gradient represents metric values from 0 to 1, with deeper blue indicating higher values. Models such as Random Forest and LightGBM exhibit high performance across metrics like accuracy, F-Beta, AUC, sensitivity, specificity, and PR-AUC.</alt-text>
</graphic>
</fig>
<fig position="float" id="fig7">
<label>Figure 7</label>
<caption>
<p>Heatmap comparing the performance of six machine learning models using only dietary nutrients. <bold>(A)</bold> Training set; <bold>(B)</bold> Validation set.</p>
</caption>
<graphic xlink:href="fnut-12-1666644-g007.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Heatmaps comparing evaluation metrics for machine learning models. Panel A shows XGBoost, SVM, Naive Bayes, k-NN, LightGBM, and Random Forest. Metrics include accuracy, F-Beta, AUC, sensitivity, specificity, and Pr-AUC. Panel B displays similar models, with slightly different metric values. The color gradient represents metric values from 0 to 1, with dark blue indicating higher values.</alt-text>
</graphic>
</fig>
<fig position="float" id="fig8">
<label>Figure 8</label>
<caption>
<p>Receiver operating characteristic (ROC) curves for six machine learning models incorporating both demographic characteristics and dietary nutrients. <bold>(A)</bold> Training set; <bold>(B)</bold> Validation set.</p>
</caption>
<graphic xlink:href="fnut-12-1666644-g008.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Two ROC curves comparing models. Figure A and B both plot sensitivity against 1-specificity for Random Forest, LightGBM, k-NN, Naive Bayes, SVM, and XGBoost. All models show similar performance trends, with curves approaching the top-left corner, indicating good predictive accuracy.</alt-text>
</graphic>
</fig>
<fig position="float" id="fig9">
<label>Figure 9</label>
<caption>
<p>ROC curves for six machine learning models using only dietary nutrients. <bold>(A)</bold> Training set; <bold>(B)</bold> Validation set.</p>
</caption>
<graphic xlink:href="fnut-12-1666644-g009.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Two ROC (Receiver Operating Characteristic) curve charts compare six models: Random Forest, LightGBM, k-Nearest Neighbors (k-NN), Naive Bayes, Support Vector Machine (SVM), and XGBoost. X-axis shows 1-Specificity and Y-axis shows Sensitivity. Both charts include a legend indicating model colors. Panel A and Panel B are similar, each displaying the performance of the models with overlapping curves.</alt-text>
</graphic>
</fig>
<fig position="float" id="fig10">
<label>Figure 10</label>
<caption>
<p>Raincloud plots showing the area under the ROC curve (AUC) for six machine learning models. <bold>(A)</bold> With both demographic characteristics and dietary nutrients; <bold>(B)</bold> With only dietary nutrients.</p>
</caption>
<graphic xlink:href="fnut-12-1666644-g010.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Two plots display AUC performance for six algorithms: Random Forest, Light GBM, K-NN, Naive Bayes, SVM, and XGBoost. Each plot represents different datasets with Kruskal-Wallis p-values of 3.1e-09 and 1.5e-07. Box plots indicate variation in algorithm performance.</alt-text>
</graphic>
</fig>
<fig position="float" id="fig11">
<label>Figure 11</label>
<caption>
<p>Precision-recall (PR) curves for six machine learning models incorporating both demographic characteristics and dietary nutrients. <bold>(A)</bold> Training set; <bold>(B)</bold> Validation set.</p>
</caption>
<graphic xlink:href="fnut-12-1666644-g011.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Two ROC curves comparing machine learning models: A and B. Both graphs plot Sensitivity against 1-Specificity, displaying performance of Random Forest, LightGBM, k-NN, Naive Bayes, SVM, and XGBoost. The curves demonstrate variations in model performance, with shaded areas indicating confidence intervals. A legend identifies corresponding colors for each model.</alt-text>
</graphic>
</fig>
<fig position="float" id="fig12">
<label>Figure 12</label>
<caption>
<p>PR curves for six machine learning models using only dietary nutrients. <bold>(A)</bold> Training set; <bold>(B)</bold> Validation set.</p>
</caption>
<graphic xlink:href="fnut-12-1666644-g012.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Two ROC curve plots labeled A and B compare model performances: Random Forest, LightGBM, k-NN, Naive Bayes, SVM, and XGBoost. The x-axis represents 1 - Specificity, and the y-axis represents Sensitivity. Curves show varying performances, with Random Forest and XGBoost generally having higher sensitivities. Shaded areas indicate confidence intervals. A legend identifies model colors.</alt-text>
</graphic>
</fig>
<fig position="float" id="fig13">
<label>Figure 13</label>
<caption>
<p>Raincloud plots of PR-AUC scores for six machine learning models. <bold>(A)</bold> Incorporating both demographic characteristics and dietary nutrients; <bold>(B)</bold> Using only dietary nutrients.</p>
</caption>
<graphic xlink:href="fnut-12-1666644-g013.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Two paneled violin plots comparing machine learning models on Pr-AUC scores. Panel A (left) shows models with ANOVA p-value of 2.4e-13, and Panel B (right) with p-value of 2.7e-07. Models include Random Forest, Light GBM, K-NN, Naive Bayes, SVM, and XGBoost, displayed in different colors. Plots show distribution, median, and variability of scores.</alt-text>
</graphic>
</fig>
<fig position="float" id="fig14">
<label>Figure 14</label>
<caption>
<p>Raincloud plots displaying model accuracy for six machine learning algorithms. <bold>(A)</bold> Models incorporating both demographic characteristics and dietary nutrients; <bold>(B)</bold> Models using only dietary nutrients.</p>
</caption>
<graphic xlink:href="fnut-12-1666644-g014.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Two side-by-side violin plots compare accuracy across six machine learning models: Random Forest, Light GBM, K-NN, Naive Bayes, SVM, and XGBoost. Panel A shows an Anova p-value of less than 2.2e-16, and Panel B shows an Anova p-value of 4.1e-16. Each plot includes color-coded models with accuracy ranging from 0.6 to 1.</alt-text>
</graphic>
</fig>
<fig position="float" id="fig15">
<label>Figure 15</label>
<caption>
<p>Raincloud plots of F-beta scores across six machine learning models. <bold>(A)</bold> Incorporating both demographic characteristics and dietary nutrients; <bold>(B)</bold> Using only dietary nutrients.</p>
</caption>
<graphic xlink:href="fnut-12-1666644-g015.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Two violin plots compare the F-Beta scores of six machine learning models: Random Forest, Light GBM, K-NN, Naive Bayes, SVM, and XGBoost. Plot A shows higher scores across models, while Plot B shows lower scores. Each model is color-coded and depicted with individual data points, including a boxplot inside each violin representing the median and interquartile range. The legend clarifies the colors corresponding to each model. An ANOVA test with \(p &#x003C; 2.22 \times 10^{-16}\) indicates significant differences among models.</alt-text>
</graphic>
</fig>
<p>In the training set, Random Forest achieved the best performance across all metrics: accuracy (0.813), F beta (0.852), AUC-ROC (0.881), sensitivity (0.934), specificity (0.647), and AUC-PR (0.894). XGBoost and LightGBM followed closely, with AUC-ROC values of 0.872 and 0.869, AUC-PR of 0.882 and 0.873, accuracy of 0.792 and 0.799, and F-beta scores of 0.828 and 0.837. K-KNN and SVM showed moderate performance, while Naive Bayes had the lowest metrics, particularly AUC-ROC (0.675) and AUC-PR (0.708) (<xref ref-type="table" rid="tab3">Table 3</xref>). In the validation set, Random Forest again outperformed other models, with accuracy (0.823), F beta (0.862), AUC-ROC (0.890), sensitivity (0.940), specificity (0.656), and AUC-PR (0.908) (<xref ref-type="table" rid="tab4">Table 4</xref>), confirming its superior generalizability.</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>Performance metrics of six machine learning models in the training set incorporating both demographic characteristics and dietary nutrients.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Model</th>
<th align="center" valign="top">Accuracy</th>
<th align="center" valign="top">F Beta</th>
<th align="center" valign="top">Area under the ROC curve</th>
<th align="center" valign="top">Sensitivity</th>
<th align="center" valign="top">Specificity</th>
<th align="center" valign="top">Area under the PR curve</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Random Forest</td>
<td align="center" valign="middle">0.813</td>
<td align="center" valign="middle">0.852</td>
<td align="center" valign="middle">0.881</td>
<td align="center" valign="middle">0.934</td>
<td align="center" valign="middle">0.647</td>
<td align="center" valign="middle">0.894</td>
</tr>
<tr>
<td align="left" valign="middle">Light GBM</td>
<td align="center" valign="middle">0.799</td>
<td align="center" valign="middle">0.837</td>
<td align="center" valign="middle">0.869</td>
<td align="center" valign="middle">0.894</td>
<td align="center" valign="middle">0.666</td>
<td align="center" valign="middle">0.873</td>
</tr>
<tr>
<td align="left" valign="middle">K-KNN</td>
<td align="center" valign="middle">0.691</td>
<td align="center" valign="middle">0.687</td>
<td align="center" valign="middle">0.773</td>
<td align="center" valign="middle">0.583</td>
<td align="center" valign="middle">0.838</td>
<td align="center" valign="middle">0.822</td>
</tr>
<tr>
<td align="left" valign="middle">Naive Bayes</td>
<td align="center" valign="middle">0.530</td>
<td align="center" valign="middle">0.427</td>
<td align="center" valign="middle">0.675</td>
<td align="center" valign="middle">0.304</td>
<td align="center" valign="middle">0.841</td>
<td align="center" valign="middle">0.708</td>
</tr>
<tr>
<td align="left" valign="middle">SVM</td>
<td align="center" valign="middle">0.755</td>
<td align="center" valign="middle">0.799</td>
<td align="center" valign="middle">0.800</td>
<td align="center" valign="middle">0.834</td>
<td align="center" valign="middle">0.645</td>
<td align="center" valign="middle">0.833</td>
</tr>
<tr>
<td align="left" valign="middle">XGBoost</td>
<td align="center" valign="middle">0.792</td>
<td align="center" valign="middle">0.828</td>
<td align="center" valign="middle">0.872</td>
<td align="center" valign="middle">0.867</td>
<td align="center" valign="middle">0.684</td>
<td align="center" valign="middle">0.882</td>
</tr>
<tr>
<td align="left" valign="middle"><italic>p</italic></td>
<td align="center" valign="middle">&#x003C;.001<xref ref-type="table-fn" rid="tfn3"><sup>a</sup></xref></td>
<td align="center" valign="middle">&#x003C;.001<xref ref-type="table-fn" rid="tfn3"><sup>a</sup></xref></td>
<td align="center" valign="middle">&#x003C;.001<xref ref-type="table-fn" rid="tfn4"><sup>b</sup></xref></td>
<td align="center" valign="middle">&#x003C;.001<xref ref-type="table-fn" rid="tfn3"><sup>a</sup></xref></td>
<td align="center" valign="middle">&#x003C;.001<xref ref-type="table-fn" rid="tfn3"><sup>a</sup></xref></td>
<td align="center" valign="middle">&#x003C;.001<xref ref-type="table-fn" rid="tfn3"><sup>a</sup></xref></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="tfn3">
<label>a</label>
<p>ANOVA test.</p>
</fn>
<fn id="tfn4">
<label>b</label>
<p>Kruskal-Wallis.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption>
<p>Performance metrics of six machine learning models in the validation set incorporating both demographic characteristics and dietary nutrients.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Model</th>
<th align="center" valign="top">Accuracy</th>
<th align="center" valign="top">F Beta</th>
<th align="center" valign="top">Area under the ROC curve</th>
<th align="center" valign="top">Sensitivity</th>
<th align="center" valign="top">Specificity</th>
<th align="center" valign="top">Area under the PR curve</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Random Forest</td>
<td align="center" valign="middle">0.823</td>
<td align="center" valign="middle">0.862</td>
<td align="center" valign="middle">0.890</td>
<td align="center" valign="middle">0.940</td>
<td align="center" valign="middle">0.656</td>
<td align="center" valign="middle">0.908</td>
</tr>
<tr>
<td align="left" valign="middle">Light GBM</td>
<td align="center" valign="middle">0.811</td>
<td align="center" valign="middle">0.850</td>
<td align="center" valign="middle">0.872</td>
<td align="center" valign="middle">0.906</td>
<td align="center" valign="middle">0.676</td>
<td align="center" valign="middle">0.884</td>
</tr>
<tr>
<td align="left" valign="middle">K-KNN</td>
<td align="center" valign="middle">0.711</td>
<td align="center" valign="middle">0.713</td>
<td align="center" valign="middle">0.811</td>
<td align="center" valign="middle">0.607</td>
<td align="center" valign="middle">0.867</td>
<td align="center" valign="middle">0.866</td>
</tr>
<tr>
<td align="left" valign="middle">Naive Bayes</td>
<td align="center" valign="middle">0.525</td>
<td align="center" valign="middle">0.415</td>
<td align="center" valign="middle">0.684</td>
<td align="center" valign="middle">0.287</td>
<td align="center" valign="middle">0.871</td>
<td align="center" valign="middle">0.725</td>
</tr>
<tr>
<td align="left" valign="middle">SVM</td>
<td align="center" valign="middle">0.747</td>
<td align="center" valign="middle">0.795</td>
<td align="center" valign="middle">0.820</td>
<td align="center" valign="middle">0.831</td>
<td align="center" valign="middle">0.628</td>
<td align="center" valign="middle">0.866</td>
</tr>
<tr>
<td align="left" valign="middle">XGBoost</td>
<td align="center" valign="middle">0.811</td>
<td align="center" valign="middle">0.847</td>
<td align="center" valign="middle">0.865</td>
<td align="center" valign="middle">0.890</td>
<td align="center" valign="middle">0.700</td>
<td align="center" valign="middle">0.873</td>
</tr>
<tr>
<td align="left" valign="middle"><italic>p</italic></td>
<td align="center" valign="middle">&#x003C;.001<xref ref-type="table-fn" rid="tfn5"><sup>a</sup></xref></td>
<td align="center" valign="middle">&#x003C;.001<xref ref-type="table-fn" rid="tfn5"><sup>a</sup></xref></td>
<td align="center" valign="middle">&#x003C;.001<xref ref-type="table-fn" rid="tfn6"><sup>b</sup></xref></td>
<td align="center" valign="middle">&#x003C;.001<xref ref-type="table-fn" rid="tfn5"><sup>a</sup></xref></td>
<td align="center" valign="middle">&#x003C;.001<xref ref-type="table-fn" rid="tfn5"><sup>a</sup></xref></td>
<td align="center" valign="middle">&#x003C;.001<xref ref-type="table-fn" rid="tfn5"><sup>a</sup></xref></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="tfn5">
<label>a</label>
<p>ANOVA test.</p>
</fn>
<fn id="tfn6">
<label>b</label>
<p>Kruskal-Wallis.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>When only dietary variables were used, Random Forest remained the best-performing model. In the training set, it achieved an accuracy of 0.725, F beta of 0.786, AUC-ROC of 0.770, sensitivity of 0.875, specificity of 0.519, and AUC-PR of 0.799. XGBoost and LightGBM showed comparable results: AUC-ROC of 0.761 and 0.757, AUC-PR of 0.796 and 0.791, accuracy of 0.698, and F beta scores of 0.748 and 0.750 (<xref ref-type="table" rid="tab5">Table 5</xref>). In the validation set, Random Forest again led all metrics: accuracy (0.747), F beta (0.805), AUC-ROC (0.811), sensitivity (0.883), specificity (0.550), and AUC-PR (0.828) (<xref ref-type="table" rid="tab6">Table 6</xref>).</p>
<table-wrap position="float" id="tab5">
<label>Table 5</label>
<caption>
<p>Performance metrics of six machine learning models in the training set using only dietary nutrients.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Model</th>
<th align="center" valign="top">Accuracy</th>
<th align="center" valign="top">F Beta</th>
<th align="center" valign="top">Area under the ROC curve</th>
<th align="center" valign="top">Sensitivity</th>
<th align="center" valign="top">Specificity</th>
<th align="center" valign="top">Area under the PR curve</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Random Forest</td>
<td align="center" valign="middle">0.725</td>
<td align="center" valign="middle">0.786</td>
<td align="center" valign="middle">0.770</td>
<td align="center" valign="middle">0.875</td>
<td align="center" valign="middle">0.519</td>
<td align="center" valign="middle">0.799</td>
</tr>
<tr>
<td align="left" valign="middle">Light GBM</td>
<td align="center" valign="middle">0.698</td>
<td align="center" valign="middle">0.750</td>
<td align="center" valign="middle">0.757</td>
<td align="center" valign="middle">0.787</td>
<td align="center" valign="middle">0.576</td>
<td align="center" valign="middle">0.791</td>
</tr>
<tr>
<td align="left" valign="middle">K-KNN</td>
<td align="center" valign="middle">0.655</td>
<td align="center" valign="middle">0.661</td>
<td align="center" valign="middle">0.710</td>
<td align="center" valign="middle">0.582</td>
<td align="center" valign="middle">0.757</td>
<td align="center" valign="middle">0.762</td>
</tr>
<tr>
<td align="left" valign="middle">Naive Bayes</td>
<td align="center" valign="middle">0.500</td>
<td align="center" valign="middle">0.375</td>
<td align="center" valign="middle">0.572</td>
<td align="center" valign="middle">0.259</td>
<td align="center" valign="middle">0.832</td>
<td align="center" valign="middle">0.650</td>
</tr>
<tr>
<td align="left" valign="middle">SVM</td>
<td align="center" valign="middle">0.629</td>
<td align="center" valign="middle">0.724</td>
<td align="center" valign="middle">0.647</td>
<td align="center" valign="middle">0.842</td>
<td align="center" valign="middle">0.339</td>
<td align="center" valign="middle">0.717</td>
</tr>
<tr>
<td align="left" valign="middle">XGBoost</td>
<td align="center" valign="middle">0.698</td>
<td align="center" valign="middle">0.748</td>
<td align="center" valign="middle">0.761</td>
<td align="center" valign="middle">0.776</td>
<td align="center" valign="middle">0.593</td>
<td align="center" valign="middle">0.796</td>
</tr>
<tr>
<td align="left" valign="middle"><italic>p</italic></td>
<td align="center" valign="middle">&#x003C;.001<xref ref-type="table-fn" rid="tfn7"><sup>a</sup></xref></td>
<td align="center" valign="middle">&#x003C;.001<xref ref-type="table-fn" rid="tfn7"><sup>a</sup></xref></td>
<td align="center" valign="middle">&#x003C;.001<xref ref-type="table-fn" rid="tfn8"><sup>b</sup></xref></td>
<td align="center" valign="middle">&#x003C;.001<xref ref-type="table-fn" rid="tfn7"><sup>a</sup></xref></td>
<td align="center" valign="middle">&#x003C;.001<xref ref-type="table-fn" rid="tfn7"><sup>a</sup></xref></td>
<td align="center" valign="middle">&#x003C;.001<xref ref-type="table-fn" rid="tfn7"><sup>a</sup></xref></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="tfn7">
<label>a</label>
<p>ANOVA test.</p>
</fn>
<fn id="tfn8">
<label>b</label>
<p>Kruskal-Wallis.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="tab6">
<label>Table 6</label>
<caption>
<p>Performance metrics of six machine learning models in the validation set using only dietary nutrients.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Model</th>
<th align="center" valign="top">Accuracy</th>
<th align="center" valign="top">F Beta</th>
<th align="center" valign="top">Area under the ROC curve</th>
<th align="center" valign="top">Sensitivity</th>
<th align="center" valign="top">Specificity</th>
<th align="center" valign="top">Area under the PR curve</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Random Forest</td>
<td align="center" valign="middle">0.747</td>
<td align="center" valign="middle">0.805</td>
<td align="center" valign="middle">0.811</td>
<td align="center" valign="middle">0.883</td>
<td align="center" valign="middle">0.550</td>
<td align="center" valign="middle">0.828</td>
</tr>
<tr>
<td align="left" valign="middle">Light GBM</td>
<td align="center" valign="middle">0.743</td>
<td align="center" valign="middle">0.790</td>
<td align="center" valign="middle">0.788</td>
<td align="center" valign="middle">0.822</td>
<td align="center" valign="middle">0.627</td>
<td align="center" valign="middle">0.806</td>
</tr>
<tr>
<td align="left" valign="middle">K-KNN</td>
<td align="center" valign="middle">0.680</td>
<td align="center" valign="middle">0.690</td>
<td align="center" valign="middle">0.740</td>
<td align="center" valign="middle">0.602</td>
<td align="center" valign="middle">0.794</td>
<td align="center" valign="middle">0.793</td>
</tr>
<tr>
<td align="left" valign="middle">Naive Bayes</td>
<td align="center" valign="middle">0.482</td>
<td align="center" valign="middle">0.334</td>
<td align="center" valign="middle">0.594</td>
<td align="center" valign="middle">0.220</td>
<td align="center" valign="middle">0.865</td>
<td align="center" valign="middle">0.667</td>
</tr>
<tr>
<td align="left" valign="middle">SVM</td>
<td align="center" valign="middle">0.642</td>
<td align="center" valign="middle">0.728</td>
<td align="center" valign="middle">0.688</td>
<td align="center" valign="middle">0.810</td>
<td align="center" valign="middle">0.400</td>
<td align="center" valign="middle">0.751</td>
</tr>
<tr>
<td align="left" valign="middle">XGBoost</td>
<td align="center" valign="middle">0.735</td>
<td align="center" valign="middle">0.780</td>
<td align="center" valign="middle">0.797</td>
<td align="center" valign="middle">0.799</td>
<td align="center" valign="middle">0.641</td>
<td align="center" valign="middle">0.812</td>
</tr>
<tr>
<td align="left" valign="middle"><italic>p</italic></td>
<td align="center" valign="middle">&#x003C;.001<xref ref-type="table-fn" rid="tfn9"><sup>a</sup></xref></td>
<td align="center" valign="middle">&#x003C;.001<xref ref-type="table-fn" rid="tfn9"><sup>a</sup></xref></td>
<td align="center" valign="middle">&#x003C;.001<xref ref-type="table-fn" rid="tfn10"><sup>b</sup></xref></td>
<td align="center" valign="middle">&#x003C;.001<xref ref-type="table-fn" rid="tfn9"><sup>a</sup></xref></td>
<td align="center" valign="middle">&#x003C;.001<xref ref-type="table-fn" rid="tfn9"><sup>a</sup></xref></td>
<td align="center" valign="middle">&#x003C;.001<xref ref-type="table-fn" rid="tfn9"><sup>a</sup></xref></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="tfn9">
<label>a</label>
<p>ANOVA test.</p>
</fn>
<fn id="tfn10">
<label>b</label>
<p>Kruskal-Wallis.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Across all analyses, Random Forest consistently demonstrated superior performance regardless of input variable type. Statistically significant differences in model performance were observed in all comparisons (<italic>p</italic>&#x202F;&#x003C;&#x202F;0.001) (<xref ref-type="table" rid="tab3">Tables 3</xref>&#x2013;<xref ref-type="table" rid="tab6">6</xref>).</p>
</sec>
<sec id="sec19">
<title>Interpretation of feature importance using SHAP and LIME</title>
<p>The SHAP algorithm was employed to interpret feature contributions to CHD risk prediction in individuals over age 50 with accelerated aging. Two scenarios were considered: one including both demographic and dietary variables, and one using dietary variables alone. <xref ref-type="supplementary-material" rid="SM3">Supplementary Figure 3</xref> illustrates the top 25 features under each scenario using the Random Forest model, with SHAP values quantifying each feature&#x2019;s importance.</p>
<p>When both demographic and dietary variables were included, Age (SHAP&#x202F;=&#x202F;0.0509) and Hypertension (0.0472) were the strongest positive contributors. Negative contributors included vitamin B12 (0.0107), lycopene (0.0101), potassium (0.0097), total sugar (0.0081), and lutein + zeaxanthin (0.0075). In the dietary-only model, vitamin B12 (0.0365), lycopene (0.0256), theobromine (0.0193), total sugar (0.0187), and lutein + zeaxanthin (0.0160) had the strongest negative contributions, while caffeine (0.0231) and cholesterol (0.0113) contributed positively.</p>
<p>Force plots and waterfall plots (<xref ref-type="supplementary-material" rid="SM5">Supplementary Figures 4</xref>, <xref ref-type="supplementary-material" rid="SM6">5</xref>) were used to visualize individual-level predictions. In the combined model, the baseline CHD prediction was 0.584, increasing to 0.889 after accounting for feature contributions. In the dietary-only model, the baseline was 0.593 and rose to 0.737 after feature inclusion.</p>
<p>SHAP interaction dependency plots further illustrated the nonlinear relationships between key dietary nutrients and CHD risk (<xref ref-type="supplementary-material" rid="SM7">Supplementary Figures 6</xref>, <xref ref-type="supplementary-material" rid="SM8">7</xref>). In the fully adjusted model, higher intakes of caffeine, lycopene, potassium, total sugar, vitamin B12, and lutein + zeaxanthin were associated with lower SHAP values, indicating protective effects, with notable interactions by age, sex, and hypertension status (<xref ref-type="supplementary-material" rid="SM7">Supplementary Figure 6</xref>). Similar trends were observed in the unadjusted model using dietary variables alone, though effect magnitudes were slightly attenuated (<xref ref-type="supplementary-material" rid="SM8">Supplementary Figure 7</xref>). LIME explanations for individual predictions (<xref ref-type="supplementary-material" rid="SM9">Supplementary Figures 8</xref>, <xref ref-type="supplementary-material" rid="SM10">9</xref>) consistently identified vitamin B6, dietary fiber, zinc, vitamin B12, and lutein + zeaxanthin as key negative contributors to CHD risk, reinforcing the robustness of these findings across adjusted and unadjusted models.</p>
</sec>
</sec>
<sec sec-type="discussion" id="sec20">
<title>Discussion</title>
<p>Using data from NHANES and multiple machine learning models, this study explored the relationship between dietary nutrient intake and the risk of CHD in adults aged 50 and above who exhibit signs of accelerated aging. After adjusting for potential confounders, we found that specific combinations of dietary nutrients were associated with a reduced risk of CHD. Among the models evaluated, the random forest model demonstrated superior predictive performance. Interpretation through SHAP and LIME revealed that higher intakes of vitamin B12 and lutein + zeaxanthin were inversely associated with CHD risk. These findings suggest that both nutrients may offer protective benefits against CHD in older adults experiencing accelerated aging.</p>
<p>The inverse association between vitamin B12 and CHD risk aligns with substantial evidence on its role in homocysteine metabolism. Vitamin B12 deficiency can elevate homocysteine levels&#x2014;a known cardiovascular risk factor due to its effects on endothelial dysfunction and atherosclerosis (<xref ref-type="bibr" rid="ref24">24</xref>, <xref ref-type="bibr" rid="ref25">25</xref>). Huang et al. reported that vitamin B12 deficiency, commonly observed in older adults due to reduced absorption, increases cardiovascular risk, particularly in individuals with dietary restrictions such as vegetarians (<xref ref-type="bibr" rid="ref26">26</xref>). A large-scale population-based study further supported these findings by showing that adequate vitamin B12 intake may help reduce cardiovascular events (<xref ref-type="bibr" rid="ref27">27</xref>). These results highlight the importance of maintaining sufficient vitamin B12 intake for cardiovascular health, especially among aging individuals.</p>
<p>Similarly, lutein and zeaxanthin&#x2014;carotenoids with strong antioxidant properties&#x2014;have been associated with cardiovascular protection. Nicolantonio et al. found that these compounds may reduce CHD risk by attenuating oxidative stress and inflammation (<xref ref-type="bibr" rid="ref28">28</xref>). A Swedish study also found significantly lower plasma levels of lutein and zeaxanthin in patients with coronary artery disease compared to healthy controls, further reinforcing their protective potential (<xref ref-type="bibr" rid="ref29">29</xref>). Our findings are consistent with these observations, showing that higher dietary intake of these carotenoids is linked to reduced CHD risk. Their mechanisms&#x2014;such as neutralizing free radicals and lowering inflammatory markers like interleukin-6&#x2014;are especially relevant in the context of accelerated aging (<xref ref-type="bibr" rid="ref30">30</xref>).</p>
<p>However, some discrepancies remain. For example, a prospective cohort study by Zhang et al. using NHANES data found no significant association between serum vitamin B12 levels and mortality in patients with existing CHD (<xref ref-type="bibr" rid="ref31">31</xref>). Interestingly, the study identified methylmalonic acid (MMA), a marker of functional vitamin B12 deficiency, as a stronger predictor of cardiovascular mortality. This suggests that functional status may be more relevant than serum levels. Our study assessed dietary intake rather than serum concentrations, which may more accurately reflect long-term adequacy and could explain the differing results. Furthermore, the application of machine learning in our study allowed us to capture complex, non-linear associations that might be missed by traditional statistical methods.</p>
<p>With regard to lutein and zeaxanthin, findings from the Age-Related Eye Disease Study 2 (AREDS2) indicated that supplementation with these carotenoids did not significantly reduce cardiovascular events in older adults with age-related macular degeneration (<xref ref-type="bibr" rid="ref32">32</xref>). This contrasts with our results, which highlight a protective association with dietary intake. The discrepancy may stem from differences in study populations; participants in AREDS2 had a specific ocular disease and may not represent older adults experiencing accelerated aging. Additionally, nutrients consumed in whole foods may exert effects through synergistic interactions not replicated by supplements (<xref ref-type="bibr" rid="ref33">33</xref>). Differences in bioavailability between dietary and supplemental forms may also contribute to inconsistent outcomes (<xref ref-type="bibr" rid="ref34">34</xref>).</p>
<p>A particularly notable finding from our analysis is the strong protective role of vitamin B12 and lutein + zeaxanthin in reducing CHD risk among individuals with accelerated aging. While previous research has demonstrated cardiovascular benefits of these nutrients, their specific impact in this high-risk subgroup has been underexplored. Our findings emphasize their potential as practical dietary targets for individuals with advanced biological aging. Focusing on these nutrients may aid in the development of personalized nutritional interventions to reduce CHD risk and improve health outcomes in this vulnerable population.</p>
<p>By linking specific dietary nutrients to reduced CHD risk within the framework of accelerated aging, our findings contribute to the broader field of nutritional epidemiology (<xref ref-type="bibr" rid="ref5">5</xref>). Accelerated aging is characterized by heightened oxidative stress and inflammation&#x2014;both central to CHD pathogenesis (<xref ref-type="bibr" rid="ref35">35</xref>, <xref ref-type="bibr" rid="ref36">36</xref>). The COVID-19 pandemic has highlighted the critical interplay between nutrition, inflammation, and cardiovascular health (<xref ref-type="bibr" rid="ref37">37</xref>, <xref ref-type="bibr" rid="ref38">38</xref>). Research also underscores that maintaining optimal levels of key nutrients is critical for mitigating inflammation and oxidative stress to enhance immune function in COVID-19 patients, given that these two processes are shared foundational mechanisms for both chronic diseases, such as coronary heart disease, and susceptibility to severe infections (<xref ref-type="bibr" rid="ref39">39</xref>). Vitamin B12 lowers homocysteine levels, supporting vascular health, while lutein and zeaxanthin provide antioxidant protection that mitigates oxidative damage, a hallmark of aging and cardiovascular disease (<xref ref-type="bibr" rid="ref12">12</xref>). These mechanisms reinforce the relevance of our results and support dietary strategies tailored to biological aging. This aligns with the principles of personalized nutrition, which advocates for customizing dietary recommendations based on an individual&#x2019;s physiological age and health status (<xref ref-type="bibr" rid="ref40">40</xref>). Our findings offer a straightforward strategy for clinical practice: advising high-risk older adults, identified by phenotypic age acceleration, to consume more foods rich in vitamin B12 (such as fish, meat, and dairy products) and lutein + zeaxanthin (such as spinach, kale, and corn).</p>
<p>Several limitations of this study should be acknowledged. First, the cross-sectional nature of NHANES data limits causal inference, and reverse causality remains possible&#x2014;individuals with CHD may have changed their dietary habits. Second, although machine learning models such as random forests can detect complex, non-linear patterns, their interpretability is limited, even with tools like SHAP and LIME. Third, residual confounding from unmeasured factors&#x2014;such as genetics or socioeconomic status&#x2014;may have influenced the observed associations. Fourth, dietary data were based on two 24-h recalls, which may not accurately reflect habitual intake and are subject to recall bias. Lastly, since our analysis is based on NHANES data, generalizability may be limited, particularly for older adults in different cultural or geographic settings.</p>
</sec>
<sec sec-type="conclusions" id="sec21">
<title>Conclusion</title>
<p>In conclusion, this study shows that higher dietary intakes of vitamin B12 and lutein + zeaxanthin are associated with a lower risk of coronary heart disease in older adults experiencing accelerated aging. These findings provide valuable insights for developing targeted dietary strategies. Future research should aim to confirm these associations through longitudinal cohorts and more diverse populations such as COVID-19 patients, explore the underlying mechanisms, confirm causality and support personalized nutrition strategies and evaluate their generalizability across diverse populations.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="sec22">
<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 sec-type="ethics-statement" id="sec23">
<title>Ethics statement</title>
<p>The studies involving humans were approved by the National Health and Nutrition Examination Surveys (NHANES). The studies were conducted in accordance with the local legislation and institutional requirements. Written informed consent for participation was not required from the participants or the participants' legal guardians/next of kin in accordance with the national legislation and institutional requirements.</p>
</sec>
<sec sec-type="author-contributions" id="sec24">
<title>Author contributions</title>
<p>Z-qY: Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing. X-hZ: Formal analysis, Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing.</p>
</sec>
<sec sec-type="funding-information" id="sec25">
<title>Funding</title>
<p>The author(s) declare that no financial support was received for the research and/or publication of this article.</p>
</sec>
<sec sec-type="COI-statement" id="sec26">
<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 sec-type="ai-statement" id="sec27">
<title>Generative AI statement</title>
<p>The author(s) declare that no Gen AI was used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec sec-type="disclaimer" id="sec28">
<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 sec-type="supplementary-material" id="sec29">
<title>Supplementary material</title>
<p>The Supplementary material for this article can be found online at: <ext-link xlink:href="https://www.frontiersin.org/articles/10.3389/fnut.2025.1666644/full#supplementary-material" ext-link-type="uri">https://www.frontiersin.org/articles/10.3389/fnut.2025.1666644/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Table_1.DOCX" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document" xmlns:xlink="http://www.w3.org/1999/xlink">
<label>SUPPLEMENTARY TABLE 1</label>
<caption>
<p>Weights of dietary nutrient mixtures in WQS regression with unconstrained coefficients.</p>
</caption>
</supplementary-material>
<supplementary-material xlink:href="Table_2.DOCX" id="SM2" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document" xmlns:xlink="http://www.w3.org/1999/xlink">
<label>SUPPLEMENTARY TABLE 2</label>
<caption>
<p>Weights of dietary nutrient mixtures in WQS regression with coefficients constrained to be positive.</p>
</caption>
</supplementary-material>
<supplementary-material xlink:href="Image_1.JPEG" id="SM3" mimetype="image/jpeg" xmlns:xlink="http://www.w3.org/1999/xlink">
<label>SUPPLEMENTARY FIGURE 1</label>
<caption>
<p>Raincloud plots of model sensitivity for six machine learning models. <bold>(A)</bold> With both demographic characteristics and dietary nutrients; <bold>(B)</bold> With only dietary nutrients.</p>
</caption>
</supplementary-material>
<supplementary-material xlink:href="Image_2.JPEG" id="SM4" mimetype="image/jpeg" xmlns:xlink="http://www.w3.org/1999/xlink">
<label>SUPPLEMENTARY FIGURE 2</label>
<caption>
<p>Raincloud plots of model specificity for six machine learning models. <bold>(A)</bold> With both demographic characteristics and dietary nutrients; <bold>(B)</bold> With only dietary nutrients. SUPPLEMENTARY FIGURE 3 SHAP (SHapley Additive exPlanations) analysis of feature importance in the best-performing model. <bold>(A)</bold> Considering both demographic characteristics and dietary nutrients; <bold>(B)</bold> Considering only dietary nutrients.</p>
</caption>
</supplementary-material>
<supplementary-material xlink:href="Image_4.JPEG" id="SM5" mimetype="image/jpeg" xmlns:xlink="http://www.w3.org/1999/xlink">
<label>SUPPLEMENTARY FIGURE 4</label>
<caption>
<p>Force and waterfall plots showing individual-level predictions and feature contributions for the best-performing model incorporating both demographic characteristics and dietary nutrients.</p>
</caption>
</supplementary-material>
<supplementary-material xlink:href="Image_5.JPEG" id="SM6" mimetype="image/jpeg" xmlns:xlink="http://www.w3.org/1999/xlink">
<label>SUPPLEMENTARY FIGURE 5</label>
<caption>
<p>Force and waterfall plots showing individual-level predictions and feature contributions for the best-performing model using only dietary nutrients.</p>
</caption>
</supplementary-material>
<supplementary-material xlink:href="Image_6.JPEG" id="SM7" mimetype="image/jpeg" xmlns:xlink="http://www.w3.org/1999/xlink">
<label>SUPPLEMENTARY FIGURE 6</label>
<caption>
<p>SHAP interaction dependency plots illustrating the relationships between the top six dietary nutrients and SHAP values, considering both demographic characteristics and dietary nutrients.</p>
</caption>
</supplementary-material>
<supplementary-material xlink:href="Image_7.JPEG" id="SM8" mimetype="image/jpeg" xmlns:xlink="http://www.w3.org/1999/xlink">
<label>SUPPLEMENTARY FIGURE 7</label>
<caption>
<p>SHAP interaction dependency plots illustrating the relationships between the top six dietary nutrients and SHAP values, considering only dietary nutrients.</p>
</caption>
</supplementary-material>
<supplementary-material xlink:href="Image_8.JPEG" id="SM9" mimetype="image/jpeg" xmlns:xlink="http://www.w3.org/1999/xlink">
<label>SUPPLEMENTARY FIGURE 8</label>
<caption>
<p>Local Interpretable Model-Agnostic Explanations (LIME) for individual predictions from the best-performing model incorporating both demographic characteristics and dietary nutrients.</p>
</caption>
</supplementary-material>
<supplementary-material xlink:href="Image_9.JPEG" id="SM10" mimetype="image/jpeg" xmlns:xlink="http://www.w3.org/1999/xlink">
<label>SUPPLEMENTARY FIGURE 9</label>
<caption>
<p>LIME analysis for individual predictions from the best-performing model using only dietary nutrients.</p>
</caption>
</supplementary-material>
<supplementary-material xlink:href="Image_10.JPEG" id="SM11" mimetype="image/jpeg" xmlns:xlink="http://www.w3.org/1999/xlink">
<label>SUPPLEMENTARY FIGURE 10</label>
<caption>
<p>Bar plot illustrating class imbalance before and after Synthetic Minority Over-sampling Technique (SMOTE) processing.</p>
</caption>
</supplementary-material>
<supplementary-material xlink:href="Image_11.JPEG" id="SM12" mimetype="image/jpeg" xmlns:xlink="http://www.w3.org/1999/xlink">
<label>SUPPLEMENTARY FIGURE 11</label>
<caption>
<p>Trends in standardized Z-scores of selected features throughout the BORUTA selection process</p>
</caption>
</supplementary-material>
<supplementary-material xlink:href="Image_3.JPEG" id="SM13" mimetype="image/jpeg" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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