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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Endocrinol.</journal-id>
<journal-title>Frontiers in Endocrinology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Endocrinol.</abbrev-journal-title>
<issn pub-type="epub">1664-2392</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fendo.2024.1385324</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Endocrinology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Machine learning algorithms for identifying contralateral central lymph node metastasis in unilateral cN0 papillary thyroid cancer</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Ren</surname>
<given-names>Anwen</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
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<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhu</surname>
<given-names>Jiaqing</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2702992"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Wu</surname>
<given-names>Zhenghao</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1460114"/>
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<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ming</surname>
<given-names>Jie</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Ruan</surname>
<given-names>Shengnan</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1446208"/>
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</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Xu</surname>
<given-names>Ming</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
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</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Huang</surname>
<given-names>Tao</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1293952"/>
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<aff id="aff1">
<sup>1</sup>
<institution>Department of Breast and Thyroid Surgery, Union Hospital, Tongji Medical College, Huazhong University of Science and Technology</institution>, <addr-line>Wuhan</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>First Clinical College, Tongji Medical College, Huazhong University of Science and Technology</institution>, <addr-line>Wuhan</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Cristina Alina Silaghi, University of Medicine and Pharmacy Iuliu Hatieganu, Romania</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Maria Rosa Pelizzo, University of Padua, Italy</p>
<p>Shi-Tong Yu, Southern Medical University, China</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Tao Huang, <email xlink:href="mailto:huangtaowh@163.com">huangtaowh@163.com</email>; Ming Xu, <email xlink:href="mailto:mingxuwhuh@outlook.com">mingxuwhuh@outlook.com</email>
</p>
</fn>
<fn fn-type="other" id="fn003">
<p>&#x2020;These authors share first authorship</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>10</day>
<month>05</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>15</volume>
<elocation-id>1385324</elocation-id>
<history>
<date date-type="received">
<day>12</day>
<month>02</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>19</day>
<month>04</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Ren, Zhu, Wu, Ming, Ruan, Xu and Huang</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Ren, Zhu, Wu, Ming, Ruan, Xu and Huang</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<sec>
<title>Purpose</title>
<p>The incidence of thyroid cancer is growing fast and surgery is the most significant treatment of it. For patients with unilateral cN0 papillary thyroid cancer whether to dissect contralateral central lymph node is still under debating. Here, we aim to provide a machine learning based prediction model of contralateral central lymph node metastasis using demographic and clinical data.</p>
</sec>
<sec>
<title>Methods</title>
<p>2225 patients with unilateral cN0 papillary thyroid cancer from Wuhan Union Hospital were retrospectively studied. Clinical and pathological features were compared between patients with contralateral central lymph node metastasis and without. Six machine learning models were constructed based on these patients and compared using accuracy, sensitivity, specificity, area under the receiver operating characteristic and decision curve analysis. The selected models were then verified using data from Differentiated Thyroid Cancer in China study. All statistical analysis and model construction were performed by R software.</p>
</sec>
<sec>
<title>Results</title>
<p>Male, maximum diameter larger than 1cm, multifocality, ipsilateral central lymph node metastasis and younger than 50 years were independent risk factors of contralateral central lymph node metastasis. Random forest model performed better than others, and were verified in external validation cohort. A web calculator was constructed.</p>
</sec>
<sec>
<title>Conclusions</title>
<p>Gender, maximum diameter, multifocality, ipsilateral central lymph node metastasis and age should be considered for contralateral central lymph node dissection. The web calculator based on random forest model may be helpful in clinical decision.</p>
</sec>
</abstract>
<kwd-group>
<kwd>papillary thyroid carcinoma</kwd>
<kwd>contralateral central lymph node metastasis</kwd>
<kwd>risk factors</kwd>
<kwd>prediction model</kwd>
<kwd>machine learning</kwd>
</kwd-group>
<contract-sponsor id="cn001">National Natural Science Foundation of China<named-content content-type="fundref-id">10.13039/501100001809</named-content>
</contract-sponsor>
<counts>
<fig-count count="6"/>
<table-count count="2"/>
<equation-count count="1"/>
<ref-count count="46"/>
<page-count count="10"/>
<word-count count="3922"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Thyroid Endocrinology</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>Thyroid cancer has now ranked as the 7th most common cancer globally, with an age-standardized incidence rates of 9.1 per 100 000 people in 2022 (<xref ref-type="bibr" rid="B1">1</xref>). Papillary thyroid cancer (PTC) constitutes the majority of thyroid cancer cases and significantly contributes to its growth (<xref ref-type="bibr" rid="B2">2</xref>). Surgery, including thyroidectomy and cervical lymph nodes dissection, TSH suppression therapy and radioiodine therapy are the core treatments of PTC. After comprehensive treatment, the majority of patients experience an ideal prognosis, while there are still more than 10% patients suffering relapse (<xref ref-type="bibr" rid="B3">3</xref>, <xref ref-type="bibr" rid="B4">4</xref>).</p>
<p>Lymph node metastasis has been regarded as a prognostic factor in PTC, serving as a predictor for higher mortality and recurrence rates (<xref ref-type="bibr" rid="B5">5</xref>&#x2013;<xref ref-type="bibr" rid="B7">7</xref>). Currently, the extent of lymph node dissection is mainly decided by the tumor size and clinical lymph node metastasis. However, some lymph nodes metastases are undetected using existing methods, especially the central lymph node metastasis (CLNM) due to their deep location and small size (<xref ref-type="bibr" rid="B8">8</xref>). It is reported that the rate of occult lymph node metastasis is around 24% to 82% (<xref ref-type="bibr" rid="B9">9</xref>). Occult lymph node metastasis may progress and lead to completion thyroidectomy, potentially impacting the quality of life of patients.</p>
<p>The incidence of contralateral cervical lymph node metastasis (CCLNM) in clinically negative lymph nodes (cN0) PTC patients is reported to range from 3.9% to 30.6%. Male gender, age &lt; 45 years, lymphovascular invasion, extrathyroidal invasion, ipsilateral CLNM, multifocality, tumor size and tumor location are predictors for CCLNM (<xref ref-type="bibr" rid="B10">10</xref>&#x2013;<xref ref-type="bibr" rid="B12">12</xref>). For cN0 patients, the necessity and extent of prophylactic central lymph node dissection (pCLND) are subjects of ongoing debate. Selective pCLND (<xref ref-type="bibr" rid="B13">13</xref>) and full extent pCLND (<xref ref-type="bibr" rid="B14">14</xref>) were recommended by different studies. Besides, other researchers suggested that ipsilateral CLND should be routinely performed, the decision to perform contralateral CLND should be based on intraoperative frozen-section pathology (<xref ref-type="bibr" rid="B15">15</xref>, <xref ref-type="bibr" rid="B16">16</xref>), given the higher prevalence of complications such as permanent hypoparathyroidism in patients receiving bilateral CLND compared to those undergoing only ipsilateral CLND (<xref ref-type="bibr" rid="B17">17</xref>&#x2013;<xref ref-type="bibr" rid="B21">21</xref>). Also, there are studies attempted to identify high-risk patients and proposed a &#x201c;tailored&#x201d; treatment (<xref ref-type="bibr" rid="B18">18</xref>), which means only performing pCLND in high-risk patients but not in others. However, not all factors have the same weight in predicting CCLNM, and a simple &#x201c;yes or no&#x201d; judgement is insufficient for clinical decision. Consequently, we attempted to constructed a more precise model to predict CCLNM.</p>
<p>Machine learning (ML), a rapidly evolving field in big data analysis, offers a more sophisticated approach to establish associations between input data and outcomes based on various data types, thereby providing more accurate predictions compared to traditional methods (<xref ref-type="bibr" rid="B22">22</xref>). Shortly after its appearance, researchers have been exploring the potential of machine learning to revolutionize medicine (<xref ref-type="bibr" rid="B23">23</xref>). Up to now, its application in medical research and practice is extensive. Many studies have explored using classification task to assist in diagnosis and predict prognosis (<xref ref-type="bibr" rid="B24">24</xref>, <xref ref-type="bibr" rid="B25">25</xref>).</p>
<p>Here, we developed a machine learning model to predict CCLNM in unilateral cN0 PTC patients, evaluated its performance, and created an online calculator for easy assessment of CCLNM probability.</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<label>2</label>
<title>Materials and methods</title>
<sec id="s2_1">
<label>2.1</label>
<title>Population and data collection</title>
<p>We retrospectively retrieved data of PTC patients from the Union Hospital of Tongji Medical College of Huazhong University of Science and Technology (Wuhan Union Hospital, WHUH) from 2009 to 2020 for training cohort and internal validation cohort. The external validation cohort was from the Differentiated Thyroid Cancer in China (DTCC) study [registered at ClinicalTrials.gov (NCT02638077)], including thyroid cancer patients from nine hospitals in China from 2014 to 2016 including The First Hospital of China Medical University, China-Japan Union Hospital of Jilin University, Chinese PLA General Hospital, First Affiliated Hospital of Kunming Medical University, West China Hospital, Tumor Hospital of Gansu Province, Sir Run Shaw Hospital, Wuhan Union Hospital and Tongji Hospital (<xref ref-type="bibr" rid="B26">26</xref>). The inclusion criteria were as follows: (1) no clinical evidence of lymph node metastasis; (2) total or near-total thyroidectomy with bilateral cervical lymph node dissection; (3) pathology proven unilateral PTC. The exclusion criteria were as follows: (1) distant metastasis before surgery; (2) incomplete clinical data; (3) history with other malignancy.</p>
<p>We retrospectively collected age, gender, body mass index (BMI), multifocality, maximum diameter, extrathyroidal evasion (ETE), and number of ipsilateral central lymph node dissection (No. of ICLND) and metastasis (No. of ICLNM) data of the enrolled patients. Age at diagnosis was divided into two groups: younger than 55 years and 55 years or older. According to WHO-BMI criteria, patients were divided into normal weight (18.0&lt;= BMI &lt;25.0), underweight (BMI &lt;18.0), and overweight (BMI &gt;=25.0). Maximum diameter was divided into &lt;=1cm, &gt;1 and &lt;=4cm, and &gt;4cm three groups. Ratio of ICLNM (RICLNM) was calculated as follows:</p>
<disp-formula>
<mml:math display="block" id="M1">
<mml:mrow>
<mml:mtext>RICLNM</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mo>%</mml:mo>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>=</mml:mo>
<mml:mtext>No</mml:mtext>
<mml:mo>.</mml:mo>
<mml:mtext>&#xa0;of&#xa0;ICLNM</mml:mtext>
<mml:mo stretchy="false">/</mml:mo>
<mml:mtext>No</mml:mtext>
<mml:mo>.</mml:mo>
<mml:mtext>&#xa0;of&#xa0;ICLND</mml:mtext>
</mml:mrow>
</mml:math>
</disp-formula>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Development and comparison of ML-based models</title>
<p>Based on the presence or absence of CCLNM, patients were divided into two groups and their baseline information was compared. To further analyse the risk factors of CCLNM, we performed univariate and multivariate logistic regression analysis.</p>
<p>For construction and validation of ML models, we randomly split the data from WHUH into training cohort (80%) and validation cohort (20%). Six popular classification ML models were developed using all of the seven features, namely K-nearest neighbor (KNN), decision tree (DT), support vector machines (SVM), extreme gradient boosting (XGBoost), logistic regression (LR), and random forest (RF).</p>
<p>Multidimensional evaluation was used to evaluate the performance of the models, including accuracy, area under the receiver operating characteristic (AUC), sensitivity, specificity, false positive rate, and false negative rate. For accuracy, AUC, sensitivity and specificity, the closer to 1 they were, the better the model performed. While for false positive rate and false negative rate, the closer to 0 the better. To assess the clinical benefits of the models, decision curve analysis (DCA) was conducted. DCA is a method to demonstrate the net benefit, that is benefit to a true patient subtracts harm to a non-patient, of the treatment at certain threshold probability (<xref ref-type="bibr" rid="B27">27</xref>).</p>
<p>To interpret the models, we used feature importance to evaluate the contribution of variables to the models, and it was obtained by the increment of the prediction error of the model after rearranging according to the features.</p>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Validation of the models</title>
<p>After choosing the best performed model, we validated it on internal validation cohort first and then external cohort. The assessment indicators were the same with those using for model comparisons. Confusion matrix was used to show the difference of the true situation and the predictive situation. Calibration curve was used to evaluate the agreement of truth and prediction.</p>
</sec>
<sec id="s2_4">
<label>2.4</label>
<title>Statistical analysis and web construction</title>
<p>All statistical analysis was performed by R software (The R Foundation for Statistical Computing). Chi-square test and Student&#x2019;s t-test were used for categorical data and continuous data, respectively. Univariate and multivariate logistic regression analysis were performed to calculate the odds ratios (ORs) with 95% confidence intervals (<italic>CI</italic>s). <italic>P</italic> value &lt;0.05 was considered to be statistically significant.</p>
<p>R package &#x2018;shiny&#x2019; was used for a web calculator construction.</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results</title>
<sec id="s3_1">
<label>3.1</label>
<title>Demographic and clinicopathological characteristics</title>
<p>There were 10816 patients underwent thyroid surgery from 2009 to 2020 in WHUH. A total of 2225 patients were included in the retrospective study (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref> shows their demographic and clinicopathological characteristics. 1023 (46.0%) patients developed ICLNM while 469 (21.1%) patients developed CCLNM. Patients with CCLNM have demographic features like younger age (38.54 years V.S. 44.93 years, <italic>P</italic>&lt;0.001) and male (33.3% V.S. 19.0%, <italic>P</italic>&lt;0.001), while clinicopathological characteristics of CCLNM patients are larger tumor size (12.24mm V.S. 8.26mm, <italic>P</italic>&lt;0.001), ETE (5.5% V.S. 3.1%, <italic>P</italic>=0.019), larger ratio of ICLNM (46.5% V.S. 13.7%, <italic>P</italic>&lt;0.001). Multifocality and BMI did not show significant difference between the two group.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Flowchart of patient selection. PTC, Papillary thyroid carcinoma; US, Ultrasound.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-15-1385324-g001.tif"/>
</fig>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Demographic and clinicopathologic features of the WHUH patients grouped by CCLNM.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center"/>
<th valign="middle" align="center">Levels</th>
<th valign="middle" align="center">Total</th>
<th valign="middle" align="center">Non-CCLNM <sup>a</sup>
</th>
<th valign="middle" align="center">CCLNM</th>
<th valign="middle" align="center">P value</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">2225</td>
<td valign="middle" align="center">1756</td>
<td valign="middle" align="center">469</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">Age Group (%)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center">&lt;=55y</td>
<td valign="middle" align="center">1896 (85.2)</td>
<td valign="middle" align="center">1466 (83.5)</td>
<td valign="middle" align="center">430 (91.7)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center">&gt;55y</td>
<td valign="middle" align="center">329 (14.8)</td>
<td valign="middle" align="center">290 (16.5)</td>
<td valign="middle" align="center">39 (8.3)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">Gender (%)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center">Female</td>
<td valign="middle" align="center">1735(78.0)</td>
<td valign="middle" align="center">1422 (81.0)</td>
<td valign="middle" align="center">313 (66.7)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center">Male</td>
<td valign="middle" align="center">490(22.0)</td>
<td valign="middle" align="center">334 (19.0)</td>
<td valign="middle" align="center">156 (33.3)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">BMI <sup>b</sup> Group (%)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.386</td>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center">Normal Weight</td>
<td valign="middle" align="center">1280 (57.5)</td>
<td valign="middle" align="center">1018 (58.0)</td>
<td valign="middle" align="center">262 (55.9)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center">Low Weight</td>
<td valign="middle" align="center">112 (0.5)</td>
<td valign="middle" align="center">83 (4.7)</td>
<td valign="middle" align="center">29 (6.2)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center">High Weight</td>
<td valign="middle" align="center">833 (37.4)</td>
<td valign="middle" align="center">655 (37.3)</td>
<td valign="middle" align="center">178 (38.0)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">Multifocality (%)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.148</td>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center">No</td>
<td valign="middle" align="center">1809 (81.3)</td>
<td valign="middle" align="center">1439 (81.9)</td>
<td valign="middle" align="center">370 (78.9)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">416 (18.7)</td>
<td valign="middle" align="center">317 (18.1)</td>
<td valign="middle" align="center">99 (21.1)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">Maximum Diameter Group (%)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center">&lt;=1cm</td>
<td valign="middle" align="center">1498 (67.3)</td>
<td valign="middle" align="center">1272 (72.4)</td>
<td valign="middle" align="center">226 (48.2)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center">&lt;=4cm</td>
<td valign="middle" align="center">716 (32.2)</td>
<td valign="middle" align="center">482 (27.4)</td>
<td valign="middle" align="center">234 (49.9)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center">&gt;4cm</td>
<td valign="middle" align="center">11 (0.5)</td>
<td valign="middle" align="center">2 (0.1)</td>
<td valign="middle" align="center">9 (1.9)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">ETE <sup>c</sup> (%)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.019</td>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center">No</td>
<td valign="middle" align="center">2144 (96.4)</td>
<td valign="middle" align="center">1701 (96.9)</td>
<td valign="middle" align="center">443 (94.5)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">81 (3.6)</td>
<td valign="middle" align="center">55 (3.1)</td>
<td valign="middle" align="center">26 (5.5)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">ICLNM <sup>d</sup> (%)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center">No</td>
<td valign="middle" align="center">1202 (54.0)</td>
<td valign="middle" align="center">1109 (63.2)</td>
<td valign="middle" align="center">93 (19.8)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">1023 (46.0)</td>
<td valign="middle" align="center">647 (36.8)</td>
<td valign="middle" align="center">376 (80.2)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">Age (years, mean (SD))</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">43.58 (11.20)</td>
<td valign="middle" align="center">44.93 (10.82)</td>
<td valign="middle" align="center">38.54 (11.20)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">BMI (mean (SD))</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">23.25 (3.37)</td>
<td valign="middle" align="center">23.25 (3.39)</td>
<td valign="middle" align="center">23.23 (3.30)</td>
<td valign="middle" align="center">0.887</td>
</tr>
<tr>
<td valign="middle" align="center">Maximum Diameter (mm, mean (SD))</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">9.10 (6.42)</td>
<td valign="middle" align="center">8.26 (5.64)</td>
<td valign="middle" align="center">12.24 (8.00)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">ICLND <sup>f</sup> (mean (SD))</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">7.23(4.38)</td>
<td valign="middle" align="center">7.22 (4.40)</td>
<td valign="middle" align="center">7.28 (4.29)</td>
<td valign="middle" align="center">0.013</td>
</tr>
<tr>
<td valign="middle" align="center">RICLNM <sup>e</sup> (mean (SD))</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.21 (0.29)</td>
<td valign="middle" align="center">0.14 (0.23)</td>
<td valign="middle" align="center">0.46 (0.33)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>
<sup>a</sup> CCLNM, contralateral center lymph node metastasis; <sup>b</sup> BMI, Body mass index; <sup>c</sup> ETE, extrathyroidal evasion; <sup>d</sup> ICLNM, ipsilateral central lymph node metastasis; <sup>e</sup> RICLNM, ratio of ICLNM; <sup>f</sup> ICLND, ipsilateral central lymph node dissected.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Feature selection</title>
<p>Univariate analysis showed age, gender, maximum diameter, ETE, and ICLNM were significantly related to CCLNM (<italic>P</italic>&lt;0.05), whereas multifocality and BMI did not show obvious difference. In multivariate analysis, male (OR= 1.651, 95%<italic>CI</italic>: 1.267 -2.148, <italic>P</italic>&lt;0.001), multifocality (OR= 1.325, 95%<italic>CI</italic>: 1.000 -1.747, <italic>P</italic>=0.048), maximum diameter between 1 to 4cm (OR= 1.799, 95%<italic>CI</italic>: 1.424 -2.274, <italic>P</italic>&lt;0.001), maximum diameter larger than 4cm (OR= 17.747, 95%<italic>CI</italic>: 4.207 -122.140, <italic>P</italic>&lt;0.001),  and ICLNM (OR= 5.436, 95%<italic>CI</italic>: 4.216 -7.066, <italic>P</italic>&lt;0.001) were independent risk factors of CCLNM. Whereas older age (OR=0.619, 95%<italic>CI</italic>:0.416-0.899, <italic>P</italic>=0.014) is a protective factor (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2A</bold>
</xref>, <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Table&#xa0;1</bold>
</xref>).</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Feature selection. <bold>(A)</bold> Forest plot of the univariate and multivariate analysis of factors in predicting CCLNM. <bold>(B)</bold> Correlation analysis of each two factors. CCLNM, contralateral center lymph node metastasis; BMI, Body mass index; ETE, extrathyroidal evasion; ICLNM, ipsilateral central lymph node metastasis; RICLNM, ratio of ICLNM.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-15-1385324-g002.tif"/>
</fig>
<p>Correlation analysis (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2B</bold>
</xref>) showed that maximum diameter and RICLNM have strong correlation (&gt;0.03), while there is not significant correlation between any other two features. Considering their clinical significance, we included all factors above into ML models.</p>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Performance of machine learning algorithms</title>
<p>Using age, gender, BMI, maximum diameter, multifocality, ETE, and ICLNM, predictive models for CCLNM were developed based on 6 algorithms, namely KNN, DT, SVM, XGBoost, LR, and RF. To compare the predictive value of ICLNM and RICLNM, we built another 6 models using age, gender, BMI, maximum diameter, multifocality, ETE, and RICLNM. <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Table&#xa0;2</bold>
</xref> detailed the 12 models. Comparisons of their performance on the training cohort were demonstrated in <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3A</bold>
</xref> and ROC in <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3B</bold>
</xref>. All of the models had excellent accuracy, AUC and specificity, with LR having the highest accuracy (0.801) and AUC (0.786). When using RICLNM to build the models, better accuracy, AUC and sensitivity were achieved, with slightly lower specificity. DCA was performed to evaluate the clinical utility of these models (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3C</bold>
</xref>). RF and KNN showed obvious higher net benefits than others. For better understanding the models, relative importance of the features was shown in <xref ref-type="fig" rid="f3">
<bold>Figures&#xa0;3D</bold>
</xref>, <xref ref-type="fig" rid="f3">
<bold>E</bold>
</xref>. It is interesting that RICLNM showed great importance in all 6 models built with it, while in models built with ICLNM it is not always the most important one.</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Comparison of different models built with ICLNM and RICLNM. <bold>(A)</bold> Bubble plot showing the sensitivity, specificity, accuracy and AUC of 12 models. <bold>(B)</bold> ROC of models built with ICLNM (upper) and RICLNM (lower). <bold>(C)</bold> DCA of models built with ICLNM (upper) and RICLNM (lower). <bold>(D)</bold> Feature importance of models built with ICLNM. <bold>(E)</bold> Feature importance of models built with RICLNM. BMI, Body mass index; ETE, extrathyroidal evasion; CCLNM, contralateral center lymph node metastasis; ICLNM, ipsilateral central lymph node metastasis; RICLNM, ratio of ICLNM; KNN, K-nearest neighbor; DT, decision tree; SVM, support vector machines; XGBoost, extreme gradient boosting; LR, logistic regression; RF, random forest.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-15-1385324-g003.tif"/>
</fig>
<p>Due to its great performance on accuracy, AUC and DCA, RF using RICLNM was chosen as a potential model for predicting CCLNM.</p>
</sec>
<sec id="s3_4">
<label>3.4</label>
<title>Predictive performance of RF on internal validation cohort</title>
<p>The validation cohort was used to prove the predictive performance of RF model and it is similar to the training cohort (accuracy 0.807, AUC 0.793, sensitivity 0.355, specificity 0.955). The confusion matrix and ROC were shown in <xref ref-type="fig" rid="f4">
<bold>Figures&#xa0;4A, B</bold>
</xref>, respectively. The calibration curve (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4C</bold>
</xref>) demonstrated good agreement between prediction and observation.</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Performance of RF built with RICLNM on internal and external validation cohort. Confusion matrix <bold>(A)</bold>, ROC <bold>(B)</bold> and calibration curve <bold>(C)</bold> of internal validation cohort. Confusion matrix <bold>(D)</bold>, ROC <bold>(E)</bold> and calibration curve <bold>(F)</bold> of external validation cohort. CCLNM, contralateral center lymph node metastasis.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-15-1385324-g004.tif"/>
</fig>
</sec>
<sec id="s3_5">
<label>3.5</label>
<title>Predictive performance of RF on external validation cohort</title>
<p>
<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref> showed the selection of external validation cohort. <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref> summarized the demographic and clinicopathological features of the 409 selected patients from DTCC cohort. The CCLNM rate is higher than data from our center (34.5% V.S. 21.1%) and patients of DTCC cohort have larger maximum diameter (15.21mm V.S. 9.10mm), higher ETE rate (21.52% V.S. 3.60%), and higher ratio of ICLNM rate (0.39 V.S. 0.21).</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Flowchart of patient selection of external validation cohort. PTC, Papillary thyroid carcinoma; US, Ultrasound.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-15-1385324-g005.tif"/>
</fig>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Demographic and clinicopathologic features of the DTCC patients grouped by CCLNM.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center"/>
<th valign="middle" align="center">Levels</th>
<th valign="middle" align="center">Total</th>
<th valign="middle" align="center">Non-CCLNM <sup>a</sup>
</th>
<th valign="middle" align="center">CCLNM</th>
<th valign="middle" align="center">p</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">409</td>
<td valign="middle" align="center">268</td>
<td valign="middle" align="center">141</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">Age Group (%)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.906</td>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center">&lt;=55y</td>
<td valign="middle" align="center">363 (88.8)</td>
<td valign="middle" align="center">237 (88.4)</td>
<td valign="middle" align="center">126 (89.4)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center">&gt;55y</td>
<td valign="middle" align="center">46 (11.2)</td>
<td valign="middle" align="center">31 (11.6)</td>
<td valign="middle" align="center">15 (10.6)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">Gender (%)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.001</td>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center">Female</td>
<td valign="middle" align="center">302 (73.8)</td>
<td valign="middle" align="center">213 (79.5)</td>
<td valign="middle" align="center">89 (63.1)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center">Male</td>
<td valign="middle" align="center">107 (26.2)</td>
<td valign="middle" align="center">55 (20.5)</td>
<td valign="middle" align="center">52 (36.9)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">BMI <sup>b</sup> Group (%)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.400</td>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center">Normal Weight</td>
<td valign="middle" align="center">151 (36.9)</td>
<td valign="middle" align="center">101 (37.7)</td>
<td valign="middle" align="center">50 (35.5)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center">Low Weight</td>
<td valign="middle" align="center">16 (4.9)</td>
<td valign="middle" align="center">8 (3.0)</td>
<td valign="middle" align="center">8 (5.7)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center">High Weight</td>
<td valign="middle" align="center">242 (59.2)</td>
<td valign="middle" align="center">159 (59.3)</td>
<td valign="middle" align="center">83 (58.9)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">Multifocality (%)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">1.000</td>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center">No</td>
<td valign="middle" align="center">365 (89.2)</td>
<td valign="middle" align="center">239 (89.2)</td>
<td valign="middle" align="center">126 (89.4)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">44 (10.8)</td>
<td valign="middle" align="center">29 (10.8)</td>
<td valign="middle" align="center">15 (10.6)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">Maximum Diameter Group (%)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.002</td>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center">&lt;=1cm</td>
<td valign="middle" align="center">188 (46.0)</td>
<td valign="middle" align="center">139 (51.9)</td>
<td valign="middle" align="center">49 (34.8)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center">&lt;=4cm</td>
<td valign="middle" align="center">209 (51.1)</td>
<td valign="middle" align="center">124 (46.3)</td>
<td valign="middle" align="center">85 (60.3)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center">&gt;4cm</td>
<td valign="middle" align="center">12 (2.9)</td>
<td valign="middle" align="center">5 (1.9)</td>
<td valign="middle" align="center">7 (5.0)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">ETE <sup>c</sup> (%)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.292</td>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center">No</td>
<td valign="middle" align="center">221 (54.0)</td>
<td valign="middle" align="center">215 (80.2)</td>
<td valign="middle" align="center">106 (75.2)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">88 (21.5)</td>
<td valign="middle" align="center">53 (19.8)</td>
<td valign="middle" align="center">35 (24.8)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">ICLNM <sup>d</sup> (%)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center">No</td>
<td valign="middle" align="center">117 (28.6)</td>
<td valign="middle" align="center">100 (37.3)</td>
<td valign="middle" align="center">17 (12.1)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">292 (71.4)</td>
<td valign="middle" align="center">168 (62.7)</td>
<td valign="middle" align="center">124 (87.9)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">Age (mean (SD))</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">41.82 (11.83)</td>
<td valign="middle" align="center">43.15 (11.44)</td>
<td valign="middle" align="center">39.29 (12.18)</td>
<td valign="middle" align="center">0.002</td>
</tr>
<tr>
<td valign="middle" align="center">BMI (mean (SD))</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">23.33 (3.32)</td>
<td valign="middle" align="center">23.33 (3.31)</td>
<td valign="middle" align="center">23.32 (3.36)</td>
<td valign="middle" align="center">0.972</td>
</tr>
<tr>
<td valign="middle" align="center">Maximum Diameter (mean (SD))</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">15.22 (10.91)</td>
<td valign="middle" align="center">13.65 (9.81)</td>
<td valign="middle" align="center">18.21 (12.23)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="center">RICLNM <sup>e</sup> (mean (SD))</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.39 (0.34)</td>
<td valign="middle" align="center">0.29 (0.30)</td>
<td valign="middle" align="center">0.58 (0.33)</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>
<sup>a</sup> CCLNM, contralateral center lymph node metastasis; <sup>b</sup> BMI, Body mass index; <sup>c</sup> ETE, extrathyroidal evasion; <sup>d</sup> ICLNM, ipsilateral central lymph node metastasis; <sup>e</sup> RICLNM, ratio of ICLNM.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Accuracy, AUC, sensitivity and specificity of RF on DTCC cohort are 0.731, 0.755, 0.532 and 0.836, respectively. <xref ref-type="fig" rid="f4">
<bold>Figures&#xa0;4D&#x2013;F</bold>
</xref> demonstrated the confusion matrix, ROC and calibration curve of RF on DTCC cohort.</p>
</sec>
<sec id="s3_6">
<label>3.6</label>
<title>Web calculator</title>
<p>For conveniently calculating the CCLNM probability in clinical practice, we established an online calculator based on RF model (<ext-link ext-link-type="uri" xlink:href="https://cclnm.shinyapps.io/CCLNMAPP/">https://cclnm.shinyapps.io/CCLNMAPP/</ext-link>). Clinicians can predict the CCLNM risk by simply inputting 7 variables (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref>).</p>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Web calculator based on the random forest model.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-15-1385324-g006.tif"/>
</fig>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<p>In this study, we developed and compared 6 popular machine learning algorithms-based models to predict CCLNM in cN0 unilateral PTC patients using multicenter clinical data, utilizing demographic and clinicopathologic features. RF algorithm was selected for further validation and web calculator construction due to its outstanding performance in terms of accuracy, AUC and DCA. Both internal and external validation of the model were performed and showed satisfying results, indicating its potential for widespread application. A web calculator was constructed to facilitate the estimation of the probability of CCLNM in cN0 unilateral PTC patients.</p>
<p>This model helps in identifying CCLNM patients using demographic and clinicopathologic features which are easy to obtained before and during operation. Our study had large population (1780 patients in training cohort, 445 in internal validation cohort, and 409 in external validation cohort), which provides more precise prediction. Besides, to reduce selection bias, our study conducted the validation in external cohort using multicenter clinical data from nine different hospitals. With promising performance, our model showed great robustness and extensive application in CCLNM prediction. Most studies only identified some risk factors of CCLNM in cN0 PTC patients, which were not applicable enough in clinical decision. We not only analyzed the predictive value of several factors, but also constructed a prediction model, and the utility of machine learning makes the prediction more accurate.</p>
<p>The prevalence of CCLNM in our study was 21.1%, which was consistent with previous studies (8.13%-34.3%) (<xref ref-type="bibr" rid="B11">11</xref>, <xref ref-type="bibr" rid="B28">28</xref>, <xref ref-type="bibr" rid="B29">29</xref>). The discrepancy may be attributed to variations in patient populations and surgical criteria. We identified that &lt;55 years, male, tumor size &gt; 1cm, multifocality, and ICLNM were risk factors of CCLNM in cN0 PTC patients, while ETE showed no significant prediction value, in line with previous studies (<xref ref-type="bibr" rid="B10">10</xref>).</p>
<p>We investigated several demographic factors including age, gender and BMI in this work. It is widely accepted that older age is associated with poorer prognosis in thyroid cancer patients (<xref ref-type="bibr" rid="B30">30</xref>), but in our study and previous studies younger age were identified as a predictor of CCLNM (<xref ref-type="bibr" rid="B10">10</xref>). Furthermore, studies for total CLNM yielded similar results (<xref ref-type="bibr" rid="B31">31</xref>). Although PTC is more prevalent in women than men, male has been reported to be a risk factor of poorer prognosis and worse response to treatment. The underlying molecular mechanisms remains unclear but estrogen and androgen may play a role (<xref ref-type="bibr" rid="B32">32</xref>). Even though obesity is reported to increase thyroid cancer incidence (<xref ref-type="bibr" rid="B33">33</xref>), its role in lymph node metastasis is contradictory (<xref ref-type="bibr" rid="B34">34</xref>, <xref ref-type="bibr" rid="B35">35</xref>) and differs depending on the regions (<xref ref-type="bibr" rid="B36">36</xref>). The relationship between obesity and lymph node metastasis and the mechanism underlying requires further study.</p>
<p>Some of the clinicopathologic features showed effects in CCLNM prediction in this work. Our results indicated that in cN0 unilateral PTC patients, multifocality was important to predict CCLNM. Multifocality relates to advanced disease and indicates to higher rate of recurrence, and thus patients with more than one lesions should receive more aggressive treatment (<xref ref-type="bibr" rid="B37">37</xref>). 2015 ATA guideline took tumor size into consideration when determining whether to perform pCLND (<xref ref-type="bibr" rid="B2">2</xref>). As many other studies (<xref ref-type="bibr" rid="B11">11</xref>, <xref ref-type="bibr" rid="B29">29</xref>, <xref ref-type="bibr" rid="B38">38</xref>&#x2013;<xref ref-type="bibr" rid="B41">41</xref>), our results indicated the maximum tumor size was significantly larger in patients with CCLNM than those without. The relationship of ETE and thyroid cancer prognosis is controversial and recent studies further divided it into minimal ETE and extensive ETE based on the extent involved, which showed differences in clinicopathological features, like lymph node metastasis and prognosis (<xref ref-type="bibr" rid="B42">42</xref>, <xref ref-type="bibr" rid="B43">43</xref>). As for CCLNM, previous study also demonstrated contradictory results (<xref ref-type="bibr" rid="B29">29</xref>, <xref ref-type="bibr" rid="B38">38</xref>, <xref ref-type="bibr" rid="B40">40</xref>). Our analysis revealed that ETE had significant value when performing univariate logistic regression, but not in multivariate analysis, indicating it was not an independent risk factor. However, we did not classify ETE into minimal and extensive group, which may lead to different outcomes.</p>
<p>Similar to previous studies (<xref ref-type="bibr" rid="B28">28</xref>, <xref ref-type="bibr" rid="B29">29</xref>, <xref ref-type="bibr" rid="B38">38</xref>&#x2013;<xref ref-type="bibr" rid="B40">40</xref>), ICLNM exhibited great predictive value for CCLNM. Despite of the presence of &#x201c;skip&#x201d; metastasis, most metastasis occurs ipsilaterally first. It is interesting that when the models were developed using RICLNM instead of ICLNM, their sensitivity and performance in DCA increased dramatically, with only slight decrease of specificity, and in those models RICLNM had the strongest importance among all variables. Most previous study only focused on the existence of ICLNM, while only Zhou and Qin (<xref ref-type="bibr" rid="B11">11</xref>) included the amount of ICLNM in their analysis. Due to the different extent of dissection, absolute number of lymph nodes with metastasis may not reflect the true situation. Studies have demonstrated the significance of metastatic lymph node ratio (MLNR) in PTC prognosis (<xref ref-type="bibr" rid="B44">44</xref>&#x2013;<xref ref-type="bibr" rid="B46">46</xref>) but it is rarely used in predicting CCLNM up to now. Our study showed that RICLNM was a stronger predictor of CCLNM than the existence of ICLNM. However, when only very few suspicious lymph nodes are dissected, the ratio will be either extremely large or small. The relationship between the extent of lymph node dissection and clinical value of MLNR requires further study.</p>
<p>There are some limitations of our study. First, its retrospective nature introduced unavoidable bias. Prospective studies are required to verify the accuracy and clinical benefit of the model. Second, although we externally validated of the model using DTCC cohort which includes data from nine centers, patients were all from China. Its application in other races needs further validation. Third, all histopathological features, including maximum diameter, multifocality, ETE and ICLNM, in the study were postoperative results, which are difficult to acquire preoperatively with current detection methods, but a rapid frozen pathological examination intraoperatively can offer the characteristics in need. Fourthly, since the clinical classification is operator-dependent, the judgement of cN0 is not absolutely objective and consistent. More accurate imaging methods may solve this problem in the future.</p>
<p>In conclusion, we presented a ML-based model to predict CCLNM probability in cN0 unilateral PTC patients, validated it in internal and external cohort, and developed an easy-to-use web calculator based on it.</p>
</sec>
<sec id="s5" sec-type="data-availability">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Material</bold>
</xref>. Further inquiries can be directed to the corresponding authors.</p>
</sec>
<sec id="s6" sec-type="ethics-statement">
<title>Ethics statement</title>
<p>Ethical approval was not required for the study involving humans in accordance with the local legislation and institutional requirements. Written informed consent to participate in this study was not required from the participants or the participants&#x2019; legal guardians/next of kin in accordance with the national legislation and the institutional requirements.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>AR: Conceptualization, Formal analysis, Methodology, Software, Writing &#x2013; original draft. JZ: Investigation, Visualization, Writing &#x2013; original draft. ZW: Resources, Writing &#x2013; original draft. JM: Investigation, Resources, Writing &#x2013; review &amp; editing. SR: Investigation, Resources, Writing &#x2013; review &amp; editing. MX: Conceptualization, Funding acquisition, Software, Validation, Writing &#x2013; review &amp; editing. TH: Project administration, Supervision, Validation, Writing &#x2013; review &amp; editing.</p>
</sec>
</body>
<back>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research, authorship, and/or publication of this article. This work was supported by grants from the National Natural Science Foundation of China (No. 82303518).</p>
</sec>
<sec id="s9" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s10" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec id="s11" sec-type="supplementary-material">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fendo.2024.1385324/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fendo.2024.1385324/full#supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="Table_1.xlsx" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet"/>
<supplementary-material xlink:href="Table_2.xlsx" id="SM2" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet"/>
</sec>
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