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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Endocrinol.</journal-id>
<journal-title>Frontiers in Endocrinology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Endocrinol.</abbrev-journal-title>
<issn pub-type="epub">1664-2392</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fendo.2025.1615304</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>Ultrasound radiomics models improve preoperative diagnosis and reduce unnecessary biopsies in indeterminate thyroid nodules</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Chen</surname>
<given-names>Lu</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2898519/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Yan</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Jing</surname>
<given-names>Haoyu</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Bao</surname>
<given-names>Rui</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/validation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Sun</surname>
<given-names>Bin</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/validation/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Zhang</surname>
<given-names>Mingbo</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/967846/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Luo</surname>
<given-names>Yukun</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/671166/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/project-administration/"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Department of Ultrasound, The First Medical Center of Chinese People's Liberation Army (PLA) General Hospital</institution>, <addr-line>Beijing</addr-line>,&#xa0;<country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Graduate School Medical School of Chinese People's Liberation Army (PLA)</institution>, <addr-line>Beijing</addr-line>,&#xa0;<country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Rashid Ibrahim Mehmood, Islamic University of Madinah, Saudi Arabia</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Ricardo V. Garcia-Mayor, Instituto de Investigaci&#xf3;n Sanitaria Galicia Sur (IISGS), Spain</p>
<p>Kun Huang, The First Hospital of China Medical University, China</p>
<p>Cihan Atar, Osmaniye State Hospital, T&#xfc;rkiye</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Yukun Luo, <email xlink:href="mailto:lyk301@163.com">lyk301@163.com</email>; Mingbo Zhang, <email xlink:href="mailto:owsifanduizhe@126.com">owsifanduizhe@126.com</email>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>10</day>
<month>07</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>16</volume>
<elocation-id>1615304</elocation-id>
<history>
<date date-type="received">
<day>21</day>
<month>04</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>23</day>
<month>06</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Chen, Wang, Jing, Bao, Sun, Zhang and Luo</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Chen, Wang, Jing, Bao, Sun, Zhang and Luo</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>Cytologically indeterminate thyroid nodules constitute 20&#x2013;30% of fine-needle aspiration samples obtained from suspicious thyroid nodules. Over half of patients with indeterminate thyroid nodules undergo diagnostic surgery; however, 60&#x2013;80% of excised nodules are benign. While some radiomics studies have built models to enhance the diagnostic efficacy of thyroid nodules, few have focused on indeterminate thyroid nodules with confirmed pathological results. We aimed to develop and evaluate ultrasound radiomics models to improve the diagnosis of indeterminate thyroid nodules and reduce unnecessary surgeries.</p>
</sec>
<sec>
<title>Methods</title>
<p>We retrospectively analyzed ultrasound images of 197 indeterminate thyroid nodules with definitive pathological results. Regions of interest were manually delineated using 3-Dimensional Slicer software, and radiomics features were extracted using Pyradiomics software. Ultrasound radiomics feature selection and dimensionality reduction were performed using univariate analysis and the least absolute shrinkage and selection operator method. Independent training (n=136) and validation (n=61) cohorts were used to develop three radiomics models. Model performance was evaluated using receiver operating characteristic analysis and compared to two existing assisted diagnostic tools and two junior radiologists.</p>
</sec>
<sec>
<title>Results</title>
<p>The Radunion model achieved the highest performance, with 90.5% sensitivity, 56.8% specificity, 75.0% positive predictive value, 80.7% negative predictive value, and 76.6% accuracy. The Radsize model minimized biopsies by 21.1%, reducing the rate from 48.9% to 13.8%. These models outperformed the ITS 100 system, Thynet deep learning-based tools (<italic>p</italic> &lt; 0.05), and junior radiologists.</p>
</sec>
<sec>
<title>Conclusion</title>
<p>Ultrasound radiomics models are promising, convenient, and accurate adjunct tools for predicting malignancy, improving junior radiologists&#x2019; diagnostic performance, reducing unnecessary biopsies, and enhancing diagnostic precision in clinical practice.</p>
</sec>
</abstract>
<kwd-group>
<kwd>indeterminate thyroid nodules</kwd>
<kwd>machine learning</kwd>
<kwd>radiomics model</kwd>
<kwd>ultrasound diagnosis</kwd>
<kwd>fine needle biopsy</kwd>
</kwd-group>
<counts>
<fig-count count="6"/>
<table-count count="4"/>
<equation-count count="0"/>
<ref-count count="36"/>
<page-count count="12"/>
<word-count count="6164"/>
</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>Cytologically indeterminate thyroid nodules (ITNs) account for 20&#x2013;30% of the fine-needle aspiration (FNA) samples from suspicious thyroid nodules (TNs) (<xref ref-type="bibr" rid="B1">1</xref>). These nodules correspond to Bethesda categories III&#x2013;V, classified according to the Bethesda System for Reporting Thyroid Cytopathology (<xref ref-type="bibr" rid="B2">2</xref>). Bethesda III, IV, and V nodules carry a malignant risk of 13&#x2013;30%, 23&#x2013;34%, and 67&#x2013;83%, respectively (<xref ref-type="bibr" rid="B2">2</xref>). Consequently, more than half of patients with ITNs opt for diagnostic surgery (<xref ref-type="bibr" rid="B3">3</xref>), although 60&#x2013;80% of these excised nodules are benign on final pathological analysis (<xref ref-type="bibr" rid="B4">4</xref>, <xref ref-type="bibr" rid="B5">5</xref>). Senior radiologists achieve excellent diagnostic efficacy for Bethesda V TNs using ultrasound (US) features (<xref ref-type="bibr" rid="B3">3</xref>). However, diagnosing Bethesda III and IV nodules remains challenging, despite reports that microcalcifications (<xref ref-type="bibr" rid="B6">6</xref>) and hypoechoic features (<xref ref-type="bibr" rid="B7">7</xref>) can predict malignancy. Grayscale US has significant limitations, exhibiting low diagnostic specificity (44&#x2013;67.3%) (<xref ref-type="bibr" rid="B8">8</xref>&#x2013;<xref ref-type="bibr" rid="B10">10</xref>) and high inter-observer variability (<xref ref-type="bibr" rid="B9">9</xref>, <xref ref-type="bibr" rid="B11">11</xref>, <xref ref-type="bibr" rid="B12">12</xref>), particularly for highly suspicious nodules (e.g., ACR TR4 and TR5). Differential diagnosis of ITNs requires a new solution to overcome the impact of radiologists, techniques, and equipment.</p>
<p>Radiomics has emerged as a promising approach for predicting the pathology, prognosis, and lymph node metastasis of TNs (<xref ref-type="bibr" rid="B13">13</xref>&#x2013;<xref ref-type="bibr" rid="B18">18</xref>). Radiomics models based on US images demonstrate superior diagnostic efficacy compared with conventional US risk stratification systems (<xref ref-type="bibr" rid="B19">19</xref>). These models offer advantages, such as high accuracy (0.761&#x2013;0.874) (<xref ref-type="bibr" rid="B14">14</xref>, <xref ref-type="bibr" rid="B15">15</xref>, <xref ref-type="bibr" rid="B20">20</xref>), lower intra-observer variability (<xref ref-type="bibr" rid="B14">14</xref>, <xref ref-type="bibr" rid="B21">21</xref>), and reduced rates of unnecessary FNA procedures (3.1&#x2013;37.7%) (<xref ref-type="bibr" rid="B19">19</xref>, <xref ref-type="bibr" rid="B22">22</xref>) for TNs. However, previous models on common TN perform poorly for ITNs. The well-established artificial intelligence (AI) adjunct diagnostic tools have also demonstrated poor accuracy (e.g., 0.64 in accuracy for 88 Bethesda III nodules), despite achieving an AUC of 0.92 for common TNs (<xref ref-type="bibr" rid="B23">23</xref>). Few radiomics studies have focused on ITNs diagnosis or the diagnostic performance of ITN-specific radiomics models remains suboptimal, with area under curves (AUCs) ranging from 0.64 to 0.74 (<xref ref-type="bibr" rid="B23">23</xref>&#x2013;<xref ref-type="bibr" rid="B25">25</xref>). A proportion of ITN patients undergo guideline-recommended follow-up observation or ablative minimally invasive treatment, making it difficult to collect ITNs with definitive cytopathology and postoperative histopathology. Due to the absence of such ITNs in training data, pilot studies propose that the efficiency of radiomics models could improve if trained specifically on ITN US images (<xref ref-type="bibr" rid="B24">24</xref>, <xref ref-type="bibr" rid="B25">25</xref>). High indices, such as a negative predictive value (NPV) of 93.9% and a positive predictive value (PPV) of 93.8%, have been reported for Bethesda III nodules, indicating the potential utility of these models in supporting follow-up management of benign ITNs (<xref ref-type="bibr" rid="B26">26</xref>). However, such studies are limited, involving only dozens of ITNs. The critical questions remain unanswered regarding the diagnostic performance of ITN-specific radiomics models, their potential to enhance radiologists&#x2019; diagnostic accuracy, their role in reducing unnecessary aspiration biopsies, and their comparability to published AI adjunct diagnostic tools.</p>
<p>In this study, we aimed to address these gaps by developing an ITN-specific US radiomics model and comparing its performance with that of radiologists and published AI diagnostic tools. We assumed that radiomics could provide invisible and valuable features beyond radiologists&#x2019; observation. By combining conventional US and radiomics features of ITNs, the new method could improve the preoperative differentiation between benign and malignant ITNs. Using pathological diagnosis as the gold standard, we developed and evaluated the radiomics models in comparison with the Thynet online tool, the ITS 100 system, and two junior radiologists. Our aim was to improve the accuracy of preoperative ITN diagnosis and minimize unnecessary invasive interventions.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Methods</title>
<sec id="s2_1">
<label>2.1</label>
<title>Patients</title>
<p>This retrospective study was approved by the Institutional Ethics Committee of the hospital. All procedures were performed in compliance with relevant laws and institutional guidelines. Given the retrospective nature of the study, the requirement for informed consent was waived. We clarified that all data were anonymized before processing and the study adhered to the Declaration of Helsinki. Between September 2019 and February 2024, 3,801 patients with ITN who underwent both fine-needle aspiration cytology (FNAC) and pathological examinations were initially assessed. The inclusion criteria were as follows (1): a definitive histopathological diagnosis of the target nodule following surgery, (2) a FNAC classification of Bethesda III or IV, and (3) availability of B-mode US performed within 2 weeks before resection. The exclusion criteria were as follows: (1) an FNAC classification of Bethesda I, II, V, or VI, (2) absence of postoperative pathological results, and (3) unclear or missing US images of the target nodule. A flowchart outlining the inclusion and exclusion process is presented in <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Flowchart of patient enrollment. FNAC, fine-needle aspiration cytology; ITN, indeterminate thyroid nodules; TN, thyroid nodules; US, ultrasound.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-16-1615304-g001.tif">
<alt-text content-type="machine-generated">Flowchart detailing patient cohort selection for thyroid nodule study. Initial dataset: 3,801 patients, 4,724 thyroid nodules. Exclusions: certain Bethesda categories (4,475), missing results (38), no ultrasound images (14). Enrolled: 197 nodules, 191 patients. Split into training (136) and validation (61) cohorts. Training: 38 benign, 98 malignant. Validation: 19 benign, 42 malignant.</alt-text>
</graphic>
</fig>
<p>A total of 191 patients with 197 ITNs were included (median age: 48 years; range: 24&#x2013;76 years; sex: 36 men, 155 women). Four patients presented with two ITNs, and one presented with three ITNs. The ITNs were randomly divided into two cohorts in a 7:3 ratio: a training cohort with 136 nodules (25 men and 109 women) and a validation cohort with 61 nodules (11 men and 48 women).</p>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Clinical and US information</title>
<p>Clinical data, including age, sex, FNAC results, US images, and pathological diagnoses, were collected from medical records. US images were acquired using 3&#x2013;15 MHz linear probes from 10 different manufacturers (Philips, Toshiba, Siemens, Vinno, Hitachi, Aloka, GE Healthcare, Supersonic, Mindray, and Esaote). For quality control, low-quality images with severe artifacts or significant image resolution reductions were removed by two senior radiologists with over 5 years of thyroid US experience. These radiologists evaluated the images for five ACR TI-RADS lexicon features (composition, echogenicity, shape, margin, and echogenic foci) and determined the ACR rating for each nodule. One senior radiologist with &gt; 10 years of experience and two junior radiologists with &lt; 3 years of experience retrospectively assessed all images to classify nodules as &#x201c;benign&#x201d; or &#x201c;malignant&#x201d; for comparative diagnostic efficacy analysis. The pathology results were scrutinized and confirmed by a senior pathologist. All radiologists and pathologist were blinded.</p>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Feature selection and model building</title>
<p>The clinical variables and all test results were analyzed via univariate and multivariate analysis. Variables with <italic>p-</italic>values &lt; 0.05 in both analyses were retained. Regions of interest (ROIs) were manually delineated on US images in PNG format using 3D Slicer software (version 5.6.2, <ext-link ext-link-type="uri" xlink:href="https://www.slicer.org">https://www.slicer.org</ext-link>, Earth, TX, USA) (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure&#xa0;1</bold>
</xref>). To assess reproducibility, a radiologist re-delineated all US images twice within a 2-week interval. An intraclass correlation coefficient (ICC) &gt; 0.7 was considered indicative of satisfactory inter-observer agreement. Resampling and z-score normalization were applied to ensure consistency across repeated results, with a resampled resolution of 1&#xd7;1 mm<sup>2</sup> per pixel. Radiomics features were extracted using Pyradiomics software (<ext-link ext-link-type="uri" xlink:href="http://pyradiomics.readthedocs.io/en/latest/index.html">http://pyradiomics.readthedocs.io/en/latest/index.html</ext-link>) with the default setting, yielding 851 original features. Radiomics feature selection and dimensionality reduction were first conducted by selecting features with an inter-observer ICC &gt; 0.7. Subsequently, the optimal regularization parameter (&#x3bb;) for the least absolute shrinkage and selection operator (LASSO) method was determined using the minimum criteria. Then, feature selection was performed through 10-fold cross-validation. Finally, the variance inflation factors (VIFs) for the features selected by LASSO were calculated to avoid severe linear dependence. After feature selection, a radiomics score (RAD-score) was generated through a linear combination of the selected features. Calibration was assessed for the radiomics models, and decision curve analysis was performed to evaluate their clinical utility by quantifying net benefits at different threshold probabilities in the entire cohort. The methodology for feature extraction and analysis followed previously established protocols, as outlined in the referenced literature (<xref ref-type="bibr" rid="B27">27</xref>).</p>
</sec>
<sec id="s2_4">
<label>2.4</label>
<title>Performance comparison with thyroid AI diagnosis tools</title>
<p>Two dynamic AI-based US auxiliary diagnostic systems were utilized for comparative analysis: UAI-X Laboratory&#x2019;s Thynet tools (accessible online with author permission) (<xref ref-type="bibr" rid="B23">23</xref>) and Ian Thyroid Solution 100 (ITS100) (Med AI Technology Co. Ltd, Wuxi, China). Both systems employ convolutional neural network deep learning algorithms to provide dichotomous predictions (benign or malignant) for each nodule. These tools were trained using a large dataset of thyroid US images from the Chinese population. Thynet represents an academic research tool, whereas ITS100 is a commercial product integrated into an US instrument. The diagnostic performance of the ITN radiomics models was evaluated in comparison with these AI systems.</p>
</sec>
<sec id="s2_5">
<label>2.5</label>
<title>Statistical analyses</title>
<p>Statistical analyses were conducted using SPSS (version 22.0; IBM Corp., Armonk, NY, USA) and R software (version 4.3.2; Vienna, Austria). The Shapiro&#x2013;Wilk test was employed to assess the normality of data distribution. Continuous variables were expressed as means &#xb1; SD and range values. Pathology diagnosis served as the gold standard for evaluating diagnostic performance. The sensitivity, specificity, PPV, NPV, accuracy, unnecessary biopsy rate, and AUC were calculated for radiomics models, radiologists, and thyroid AI diagnosis tools. The unnecessary biopsy rate was defined as the proportion of benign nodules among those classified as requiring biopsy. AUCs were statistically compared using the DeLong test, while proportions were compared using the chi-squared tests or Fisher&#x2019;s exact test, as appropriate. Statistical significance was defined as <italic>p</italic> &lt; 0.05.</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results</title>
<sec id="s3_1">
<label>3.1</label>
<title>Patient characteristics</title>
<p>This study evaluated 197 ITNs from 191 patients (36 men and 155 women), with a median age of 48 &#xb1; 11 (range: 24&#x2013;76) years. The study flowchart is illustrated in <xref ref-type="fig" rid="f1">
<bold>Figures&#xa0;1</bold>
</xref>, <xref ref-type="fig" rid="f2">
<bold>2</bold>
</xref>. <xref ref-type="table" rid="T1">
<bold>Tables&#xa0;1</bold>
</xref>, <xref ref-type="table" rid="T2">
<bold>2</bold>
</xref> summarize the clinical and pathological characteristics of the training and validation cohorts. No significant differences were observed between these cohorts regarding pathological or US characteristics (all <italic>p</italic> &gt; 0.05). The proportions of malignant nodules were 72.1% (98/136) and 68.9% (42/61) in the training and validation cohorts, respectively (<italic>p</italic> = 0.773). Malignant nodules exhibited significantly smaller diameters, higher nodular numbers, and elevated RadScores compared to benign nodules in both cohorts (all <italic>p</italic> &lt; 0.05) (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>).</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Radiomics diagnostic model study workflow.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-16-1615304-g002.tif">
<alt-text content-type="machine-generated">Flowchart displaying the process of building and validating radiomics models for thyroid nodule analysis. It involves clinical and radiomics feature selection from a training cohort of 136 and internal validation with a cohort of 61. The features listed include various parameters like original_glrlm_ShortRunEmphasis and wavelet_HLL_firstorder_MeanAbsoluteDeviation applied across Rad, Radsize, and Radunion. The model's performance is compared with junior radiologists and AI thyroid diagnostic tools.</alt-text>
</graphic>
</fig>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Characteristics of ITNs in training and validation cohorts.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Features</th>
<th valign="middle" align="left">level</th>
<th valign="middle" align="center">Overall<break/>(n=197)</th>
<th valign="middle" align="center">training cohort<break/>(n=136)</th>
<th valign="middle" align="center">validation cohort<break/>(n=61)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Age,y (mean&#xb1;SD)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="center">48.15 &#xb1;11.21</td>
<td valign="middle" align="center">48.32&#xb1;11.30</td>
<td valign="middle" align="center">47.77&#xb1;11.10</td>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">Gender (%)</td>
<td valign="middle" align="left">Female</td>
<td valign="middle" align="center">161 (81.7)</td>
<td valign="middle" align="center">111 (81.6)</td>
<td valign="middle" align="center">50 (82.0)</td>
</tr>
<tr>
<td valign="middle" align="left">Male</td>
<td valign="middle" align="center">36 (18.3)</td>
<td valign="middle" align="center">25 (18.4)</td>
<td valign="middle" align="center">11 (18.0)</td>
</tr>
<tr>
<td valign="top" align="left">Size,cm (mean&#xb1;SD)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="center">1.11&#xb1;1.09</td>
<td valign="middle" align="center">1.11&#xb1;1.06</td>
<td valign="middle" align="center">1.09&#xb1;1.16</td>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">Bethesda (%)</td>
<td valign="middle" align="left">BethesdaIII</td>
<td valign="middle" align="center">136 (69.0)</td>
<td valign="middle" align="center">91 (66.9)</td>
<td valign="middle" align="center">45 (73.8)</td>
</tr>
<tr>
<td valign="middle" align="left">BethesdaIV</td>
<td valign="middle" align="center">61 (31.0)</td>
<td valign="middle" align="center">45 (33.1)</td>
<td valign="middle" align="center">16 (26.2)</td>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">Invaded_capsule (%)</td>
<td valign="middle" align="left">Negative</td>
<td valign="middle" align="center">118 (59.9)</td>
<td valign="middle" align="center">87 (64.0)</td>
<td valign="middle" align="center">31 (50.8)</td>
</tr>
<tr>
<td valign="middle" align="left">Positive</td>
<td valign="middle" align="center">79 (40.1)</td>
<td valign="middle" align="center">49 (36.0)</td>
<td valign="middle" align="center">30 (49.2)</td>
</tr>
<tr>
<td valign="top" rowspan="4" align="left">TI-RADS (%)</td>
<td valign="middle" align="left">2</td>
<td valign="middle" align="center">5 (2.5)</td>
<td valign="middle" align="center">4 (2.9)</td>
<td valign="middle" align="center">1 (1.6)</td>
</tr>
<tr>
<td valign="middle" align="left">3</td>
<td valign="middle" align="center">12 (6.1)</td>
<td valign="middle" align="center">10 (7.4)</td>
<td valign="middle" align="center">2 (3.3)</td>
</tr>
<tr>
<td valign="middle" align="left">4</td>
<td valign="middle" align="center">74 (37.6)</td>
<td valign="middle" align="center">53 (39.0)</td>
<td valign="middle" align="center">21 (34.4)</td>
</tr>
<tr>
<td valign="middle" align="left">5</td>
<td valign="middle" align="center">106 (53.8)</td>
<td valign="middle" align="center">69 (50.7)</td>
<td valign="middle" align="center">37 (60.7)</td>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">Composition (%)</td>
<td valign="middle" align="left">Cystic and solid</td>
<td valign="middle" align="center">8 (4.1)</td>
<td valign="middle" align="center">7 (5.1)</td>
<td valign="middle" align="center">1 (1.6)</td>
</tr>
<tr>
<td valign="middle" align="left">Solid</td>
<td valign="middle" align="center">189 (95.9)</td>
<td valign="middle" align="center">129 (94.9)</td>
<td valign="middle" align="center">60 (98.4)</td>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">Echogenicity (%)</td>
<td valign="middle" align="left">Hyperechoic/Isoechoic</td>
<td valign="middle" align="center">22 (11.2)</td>
<td valign="middle" align="center">15 (11.0)</td>
<td valign="middle" align="center">7 (11.5)</td>
</tr>
<tr>
<td valign="middle" align="left">Hypoechoic</td>
<td valign="middle" align="center">175 (88.8)</td>
<td valign="middle" align="center">121 (89.0)</td>
<td valign="middle" align="center">54 (88.5)</td>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">Border(%)</td>
<td valign="middle" align="left">Clear</td>
<td valign="middle" align="center">83 (42.1)</td>
<td valign="middle" align="center">64 (47.1)</td>
<td valign="middle" align="center">19 (31.1)</td>
</tr>
<tr>
<td valign="middle" align="left">Unclear</td>
<td valign="middle" align="center">114 (57.9)</td>
<td valign="middle" align="center">72 (52.9)</td>
<td valign="middle" align="center">42 (68.9)</td>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">Margin (%)</td>
<td valign="middle" align="left">Regular</td>
<td valign="middle" align="center">76 (38.6)</td>
<td valign="middle" align="center">55 (40.4)</td>
<td valign="middle" align="center">21 (34.4)</td>
</tr>
<tr>
<td valign="middle" align="left">Irregular</td>
<td valign="middle" align="center">121 (61.4)</td>
<td valign="middle" align="center">81 (59.6)</td>
<td valign="middle" align="center">40 (65.6)</td>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">Shape (%)</td>
<td valign="middle" align="left">&lt; 1</td>
<td valign="middle" align="center">95 (48.2)</td>
<td valign="middle" align="center">68 (50.0)</td>
<td valign="middle" align="center">27 (44.3)</td>
</tr>
<tr>
<td valign="middle" align="left">&gt; 1</td>
<td valign="middle" align="center">102 (51.8)</td>
<td valign="middle" align="center">68 (50.0)</td>
<td valign="middle" align="center">34 (55.7)</td>
</tr>
<tr>
<td valign="top" rowspan="3" align="left">Calcifications (%)</td>
<td valign="middle" align="left">None</td>
<td valign="middle" align="center">104 (52.8)</td>
<td valign="middle" align="center">74 (54.4)</td>
<td valign="middle" align="center">30 (49.2)</td>
</tr>
<tr>
<td valign="middle" align="left">Coarse/Peripheral calcification</td>
<td valign="middle" align="center">14 (7.1)</td>
<td valign="middle" align="center">9 (6.6)</td>
<td valign="middle" align="center">5 (8.2)</td>
</tr>
<tr>
<td valign="middle" align="left">Punctate echogenic foci</td>
<td valign="middle" align="center">79 (40.1)</td>
<td valign="middle" align="center">53 (39.0)</td>
<td valign="middle" align="center">26 (42.6)</td>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">CDFI (%)</td>
<td valign="middle" align="left">No</td>
<td valign="middle" align="center">123 (62.4)</td>
<td valign="middle" align="center">80 (58.8)</td>
<td valign="middle" align="center">43 (70.5)</td>
</tr>
<tr>
<td valign="middle" align="left">Yes</td>
<td valign="middle" align="center">74 (37.6)</td>
<td valign="middle" align="center">56 (41.2)</td>
<td valign="middle" align="center">18 (29.5)</td>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">Number_of_nodules (%)</td>
<td valign="middle" align="left">Single</td>
<td valign="middle" align="center">9 (4.6)</td>
<td valign="middle" align="center">8 (5.9)</td>
<td valign="middle" align="center">1 (1.6)</td>
</tr>
<tr>
<td valign="middle" align="left">Multiple</td>
<td valign="middle" align="center">188 (95.4)</td>
<td valign="middle" align="center">128 (94.1)</td>
<td valign="middle" align="center">60 (98.4)</td>
</tr>
<tr>
<td valign="top" rowspan="3" align="left">BRAF_V600E (%)</td>
<td valign="middle" align="left">Negative</td>
<td valign="middle" align="center">149 (75.6)</td>
<td valign="middle" align="center">103 (75.7)</td>
<td valign="middle" align="center">46 (75.4)</td>
</tr>
<tr>
<td valign="middle" align="left">Positive</td>
<td valign="middle" align="center">33 (16.8)</td>
<td valign="middle" align="center">25 (18.4)</td>
<td valign="middle" align="center">8 (13.1)</td>
</tr>
<tr>
<td valign="middle" align="left">Unknown</td>
<td valign="middle" align="center">15 (7.6)</td>
<td valign="middle" align="center">8 (5.9)</td>
<td valign="middle" align="center">7 (11.5)</td>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">Metastasis (%)</td>
<td valign="middle" align="left">No</td>
<td valign="middle" align="center">143 (72.6)</td>
<td valign="middle" align="center">99 (72.8)</td>
<td valign="middle" align="center">44 (72.1)</td>
</tr>
<tr>
<td valign="middle" align="left">Yes</td>
<td valign="middle" align="center">54 (27.4)</td>
<td valign="middle" align="center">37 (27.2)</td>
<td valign="middle" align="center">17 (27.9)</td>
</tr>
<tr>
<td valign="top" align="left">RAD-Score (mean&#xb1;SD)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="center">1.24 &#xb1; 1.88</td>
<td valign="middle" align="center">1.24 &#xb1; 1.95</td>
<td valign="middle" align="center">1.24 &#xb1; 1.73</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Qualitative data were expressed as mean &#xb1; standard deviation or number and percentages (%), or median (25%&#x2013;75% quantiles). ITNs, indeterminate thyroid nodules; TI-RADS, Thyroid Imaging Reporting and Data System.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Characteristics of ITNs in the training and validation cohorts by pathology.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" rowspan="2" align="left">Features</th>
<th valign="middle" rowspan="2" align="left">level</th>
<th valign="middle" colspan="3" align="center">Training cohort(n=136)</th>
<th valign="middle" align="center"/>
<th valign="middle" colspan="3" align="center">Validation cohort(n=61)</th>
</tr>
<tr>
<th valign="middle" align="center">Benign<break/>(n=38)</th>
<th valign="middle" align="center">Malignant<break/>(n=98)</th>
<th valign="middle" align="center">
<italic>p</italic>
</th>
<th valign="middle" align="center"/>
<th valign="middle" align="center">Benign<break/>(n=19)</th>
<th valign="middle" align="center">Malignant<break/>(n=42)</th>
<th valign="middle" align="center">
<italic>p</italic>
</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Age,y (mean&#xb1;SD)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="center">49.39&#xb1;12.81</td>
<td valign="middle" align="center">47.91&#xb1;10.70</td>
<td valign="middle" align="center">0.493</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">51.05&#xb1;12.20</td>
<td valign="middle" align="center">46.29&#xb1;10.38</td>
<td valign="middle" align="center">0.121</td>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">Gender (%)</td>
<td valign="middle" align="left">Female</td>
<td valign="middle" align="center">29 (76.3)</td>
<td valign="middle" align="center">82 (83.7)</td>
<td valign="middle" align="center">0.455</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">14 (73.7)</td>
<td valign="middle" align="center">36 (85.7)</td>
<td valign="middle" align="center">0.44</td>
</tr>
<tr>
<td valign="middle" align="left">Male</td>
<td valign="middle" align="center">9 (23.7)</td>
<td valign="middle" align="center">16 (16.3)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">5 (26.3)</td>
<td valign="middle" align="center">6 (14.3)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="top" align="left">Size,cm (mean&#xb1;SD)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="center">1.78&#xb1;1.56</td>
<td valign="middle" align="center">0.85&#xb1;0.63</td>
<td valign="middle" align="center">&lt;0.001</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">2.04&#xb1;1.71</td>
<td valign="middle" align="center">0.67&#xb1;0.31</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">Bethesda (%)</td>
<td valign="middle" align="left">BethesdaIII</td>
<td valign="middle" align="center">13 (34.2)</td>
<td valign="middle" align="center">78 (79.6)</td>
<td valign="middle" align="center">&lt;0.001</td>
<td valign="middle" align="center">10 (52.6)</td>
<td valign="middle" align="center">35 (83.3)</td>
<td valign="middle" align="center">0.027</td>
<td valign="middle" align="center">0.027</td>
</tr>
<tr>
<td valign="middle" align="left">BethesdaIV</td>
<td valign="middle" align="center">25 (65.8)</td>
<td valign="middle" align="center">20 (20.4)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">9 (47.4)</td>
<td valign="middle" align="center">7 (16.7)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">Invaded_capsule (%)</td>
<td valign="middle" align="left">Negative</td>
<td valign="middle" align="center">33 (86.8)</td>
<td valign="middle" align="center">54 (55.1)</td>
<td valign="middle" align="center">0.001</td>
<td valign="middle" align="center">15 (78.9)</td>
<td valign="middle" align="center">16 (38.1)</td>
<td valign="middle" align="center">0.007</td>
<td valign="middle" align="center">0.007</td>
</tr>
<tr>
<td valign="middle" align="left">Positive</td>
<td valign="middle" align="center">5 (13.2)</td>
<td valign="middle" align="center">44 (44.9)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">4 (21.1)</td>
<td valign="middle" align="center">26 (61.9)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="top" rowspan="4" align="left">TI-RADS (%)</td>
<td valign="middle" align="left">2</td>
<td valign="middle" align="center">3 (7.9)</td>
<td valign="middle" align="center">1 (1.0)</td>
<td valign="middle" align="center">0.004</td>
<td valign="middle" align="center">1 (5.3)</td>
<td valign="middle" align="center">0 (0.0)</td>
<td valign="middle" align="center">0.004</td>
<td valign="middle" align="center">0.004</td>
</tr>
<tr>
<td valign="middle" align="left">3</td>
<td valign="middle" align="center">5 (13.2)</td>
<td valign="middle" align="center">5 (5.1)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">2 (10.5)</td>
<td valign="middle" align="center">0 (0.0)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="left">4</td>
<td valign="middle" align="center">19 (50.0)</td>
<td valign="middle" align="center">34 (34.7)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">10 (52.6)</td>
<td valign="middle" align="center">11 (26.2)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="left">5</td>
<td valign="middle" align="center">11 (28.9)</td>
<td valign="middle" align="center">58 (59.2)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">6 (31.6)</td>
<td valign="middle" align="center">31 (73.8)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">Composition (%)</td>
<td valign="middle" align="left">Cystic and solid</td>
<td valign="middle" align="center">2 (5.3)</td>
<td valign="middle" align="center">5 (5.1)</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">0 (0.0)</td>
<td valign="middle" align="center">1 (2.4)</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">1</td>
</tr>
<tr>
<td valign="middle" align="left">Solid</td>
<td valign="middle" align="center">36 (94.7)</td>
<td valign="middle" align="center">93 (94.9)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">19 (100.0)</td>
<td valign="middle" align="center">41 (97.6)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">Echogenicity (%)</td>
<td valign="middle" align="left">Hyperechoic/Isoechoic</td>
<td valign="middle" align="center">9 (23.7)</td>
<td valign="middle" align="center">6 (6.1)</td>
<td valign="middle" align="center">0.009</td>
<td valign="middle" align="center">6 (31.6)</td>
<td valign="middle" align="center">1 (2.4)</td>
<td valign="middle" align="center">0.004</td>
<td valign="middle" align="center">0.004</td>
</tr>
<tr>
<td valign="middle" align="left">Hypoechoic</td>
<td valign="middle" align="center">29 (76.3)</td>
<td valign="middle" align="center">92 (93.9)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">13 (68.4)</td>
<td valign="middle" align="center">41 (97.6)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">Border (%)</td>
<td valign="middle" align="left">Clear</td>
<td valign="middle" align="center">22 (57.9)</td>
<td valign="middle" align="center">42 (42.9)</td>
<td valign="middle" align="center">0.166</td>
<td valign="middle" align="center">8 (42.1)</td>
<td valign="middle" align="center">11 (26.2)</td>
<td valign="middle" align="center">0.345</td>
<td valign="middle" align="center">0.036</td>
</tr>
<tr>
<td valign="middle" align="left">Unclear</td>
<td valign="middle" align="center">16 (42.1)</td>
<td valign="middle" align="center">56 (57.1)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">11 (57.9)</td>
<td valign="middle" align="center">31 (73.8)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">Margin (%)</td>
<td valign="middle" align="left">Regular</td>
<td valign="middle" align="center">23 (60.5)</td>
<td valign="middle" align="center">32 (32.7)</td>
<td valign="middle" align="center">0.005</td>
<td valign="middle" align="center">7 (36.8)</td>
<td valign="middle" align="center">14 (33.3)</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="left">Irregular</td>
<td valign="middle" align="center">15 (39.5)</td>
<td valign="middle" align="center">66 (67.3)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">12 (63.2)</td>
<td valign="middle" align="center">28 (66.7)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">Shape (%)</td>
<td valign="middle" align="left">&lt; 1</td>
<td valign="middle" align="center">27 (71.1)</td>
<td valign="middle" align="center">41 (41.8)</td>
<td valign="middle" align="center">0.004</td>
<td valign="middle" align="center">12 (63.2)</td>
<td valign="middle" align="center">15 (35.7)</td>
<td valign="middle" align="center">0.085</td>
<td valign="middle" align="center">0.24</td>
</tr>
<tr>
<td valign="middle" align="left">&gt; 1</td>
<td valign="middle" align="center">11 (28.9)</td>
<td valign="middle" align="center">57 (58.2)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">7 (36.8)</td>
<td valign="middle" align="center">27 (64.3)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="top" rowspan="3" align="left">Calcifications (%)</td>
<td valign="middle" align="left">None</td>
<td valign="middle" align="center">24 (63.2)</td>
<td valign="middle" align="center">50 (51.0)</td>
<td valign="middle" align="center">&lt;0.001</td>
<td valign="middle" align="center">9 (47.4)</td>
<td valign="middle" align="center">21 (50.0)</td>
<td valign="middle" align="center">0.041</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="left">Coarse/Peripheral calcification</td>
<td valign="middle" align="center">7 (18.4)</td>
<td valign="middle" align="center">2 (2.0)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">4 (21.1)</td>
<td valign="middle" align="center">1 (2.4)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="left">Punctate echogenic foci</td>
<td valign="middle" align="center">7 (18.4)</td>
<td valign="middle" align="center">46 (46.9)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">6 (31.6)</td>
<td valign="middle" align="center">20 (47.6)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.054</td>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">CDFI (%)</td>
<td valign="middle" align="left">No</td>
<td valign="middle" align="center">20 (52.6)</td>
<td valign="middle" align="center">60 (61.2)</td>
<td valign="middle" align="center">0.472</td>
<td valign="middle" align="center">13 (68.4)</td>
<td valign="middle" align="center">30 (71.4)</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="left">Yes</td>
<td valign="middle" align="center">18 (47.4)</td>
<td valign="middle" align="center">38 (38.8)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">6 (31.6)</td>
<td valign="middle" align="center">12 (28.6)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">Number_of_nodules (%)</td>
<td valign="middle" align="left">Single</td>
<td valign="middle" align="center">6 (15.8)</td>
<td valign="middle" align="center">2 (2.0)</td>
<td valign="middle" align="center">0.008</td>
<td valign="middle" align="center">1 (5.3)</td>
<td valign="middle" align="center">0 (0.0)</td>
<td valign="middle" align="center">0.681</td>
<td valign="middle" align="center">0.041</td>
</tr>
<tr>
<td valign="middle" align="left">Multiple</td>
<td valign="middle" align="center">32 (84.2)</td>
<td valign="middle" align="center">96 (98.0)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">18 (94.7)</td>
<td valign="middle" align="center">42 (100.0)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="top" rowspan="3" align="left">BRAF_V600E (%)</td>
<td valign="middle" align="left">Negative</td>
<td valign="middle" align="center">33 (86.8)</td>
<td valign="middle" align="center">70 (71.4)</td>
<td valign="middle" align="center">0.132</td>
<td valign="middle" align="center">17 (89.5)</td>
<td valign="middle" align="center">29 (69.0)</td>
<td valign="middle" align="center">0.113</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="left">Positive</td>
<td valign="middle" align="center">3 (7.9)</td>
<td valign="middle" align="center">22 (22.4)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0 (0.0)</td>
<td valign="middle" align="center">8 (19.0)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">1</td>
</tr>
<tr>
<td valign="middle" align="left">Unknown</td>
<td valign="middle" align="center">2 (5.3)</td>
<td valign="middle" align="center">6 (6.1)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">2 (10.5)</td>
<td valign="middle" align="center">5 (11.9)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">Metastasis (%)</td>
<td valign="middle" align="left">No</td>
<td valign="middle" align="center">32 (84.2)</td>
<td valign="middle" align="center">67 (68.4)</td>
<td valign="middle" align="center">0.099</td>
<td valign="middle" align="center">17 (89.5)</td>
<td valign="middle" align="center">27 (64.3)</td>
<td valign="middle" align="center">0.085</td>
<td valign="middle" align="center">0.681</td>
</tr>
<tr>
<td valign="middle" align="left">Yes</td>
<td valign="middle" align="center">6 (15.8)</td>
<td valign="middle" align="center">31 (31.6)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">2 (10.5)</td>
<td valign="middle" align="center">15 (35.7)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="top" align="left">RAD-Score (mean&#xb1;SD)</td>
<td valign="middle" align="left"/>
<td valign="middle" align="center">-0.55&#xb1;2.18</td>
<td valign="middle" align="center">1.93&#xb1;1.31</td>
<td valign="middle" align="center">&lt;0.001</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.42&#xb1;2.11</td>
<td valign="middle" align="center">1.61&#xb1;1.40</td>
<td valign="middle" align="center">0.012</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Qualitative data were expressed as mean &#xb1; standard deviation or number and percentages (%), or median (25%&#x2013;75% quantiles). ITNs, indeterminate thyroid nodules; TI-RADS, Thyroid Imaging Reporting and Data System.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Feature selection and RAD-Score development</title>
<p>Univariate analysis and multivariate analysis revealed that nodular size (<italic>p</italic> &lt; 0.014), Bethesda classification (<italic>p</italic> &lt; 0.038), and capsular invasion (<italic>p</italic> &lt; 0.001) were significant variables with <italic>p</italic> &lt; 0.05. Followed by an ICC &gt; 0.7, there were 37 radiomics features selected using the LASSO method with the regularization parameter (&#x3bb;) values of 0.034 (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure&#xa0;2a, b</bold>
</xref>). Finally, 10 features were included in the RAD-Score formula as VIF &lt; 10 to avoid severe linear dependence (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure&#xa0;2c</bold>
</xref>). Among them, original_glrlm_ShortRunEmphasis showed negative relation with malignancy while wavelet-HLH_glrlm_RunLengthNonUniformityNormalized showed positive relation with malignancy, which both might be corresponding to unclear border and irregular margin in the US features.</p>
<p>Since capsular invasion is a postoperative variable and not suitable for preoperative diagnostic purposes, it was excluded from the radiomics models.</p>
<p>The RAD-Score for malignant nodules was significantly higher than that for benign nodules in the training ([1.93 &#xb1; 1.31] <italic>vs</italic>. [&#x2212;0.55 &#xb1; 2.18], <italic>p</italic> &lt; 0.001) and validation cohorts ([1.61 &#xb1; 1.40] <italic>vs</italic>. [0.42 &#xb1; 2.11], <italic>p</italic> = 0.012) (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). The Rad model yielded AUCs of 0.775 (95% confidence interval [CI]: 0.686&#x2013;0.864) in the training cohort (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3a</bold>
</xref>) and 0.731 (95% CI: 0.583&#x2013;0.878) in the validation cohort (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3b</bold>
</xref>). Adding nodular size improved the model&#x2019;s AUC to 0.893 (95% CI: 0.832&#x2013;0.955) in the training cohort (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3a</bold>
</xref>) and 0.856 (95% CI: 0.747&#x2013;0.964) in the validation cohort (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>). Further addition of Bethesda classification resulted in the Radunion model with an AUC of 0.860 (95% CI: 0.804-0.916) for the entire cohort (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3c</bold>
</xref>). The Radsize and Radunion models significantly outperformed the Rad model (<italic>p</italic> &lt; 0.001), although differences between the Radsize and Radunion models were not statistically significant (<italic>p</italic> &gt; 0.001). The calibration curves of three radiomics models are shown in <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>, and the Radunion model showed the best calibration. Decision curve analysis indicated that the radiomics models were clinically useful, with the Radunion providing the greatest net benefit (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>).</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Receiver operating characteristic (ROC) curves of radiomic models in <bold>(a)</bold> training cohort, <bold>(b)</bold> validation cohort, and <bold>(c)</bold> entire cohorts.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-16-1615304-g003.tif">
<alt-text content-type="machine-generated">Three ROC curve graphs labeled (a), (b), and (c) compare predictive models. Each graph plots sensitivity versus 1-specificity with blue, green, and red lines. Legends show different models with their AUC values and confidence intervals: (a) AUCs are 0.917, 0.803, and 0.775; (b) AUCs are 0.868, 0.858, and 0.731; (c) AUCs are 0.860, 0.840, and 0.729. A diagonal line represents random chance.</alt-text>
</graphic>
</fig>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Calibration curves of radiomic models in <bold>(a)</bold> training cohort, <bold>(b)</bold> validation cohort, and <bold>(c)</bold> entire cohorts.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-16-1615304-g004.tif">
<alt-text content-type="machine-generated">Three logistic calibration plots labeled (a), (b), and (c) compare observed versus predicted probabilities for three models: model_union (blue line), model_radsize (green line), and model_rad (red line). Diagonal dashed lines indicate perfect calibration. Each plot shows varying alignment between predicted outcomes and actual observations, reflecting the models' calibration performance.</alt-text>
</graphic>
</fig>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Decision curve analysis (DCA) of the radiomics models in predicting malignancy in thyroid nodules: <bold>(a)</bold> training cohort, <bold>(b)</bold> validation cohort, and <bold>(c)</bold> entire cohorts. The vertical axis measures standardized net benefit. The horizontal axis shows the corresponding risk threshold. The DCA results indicate that the Radunion model had a higher overall net benefit compared to the other models.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-16-1615304-g005.tif">
<alt-text content-type="machine-generated">Three line graphs labeled (a), (b), and (c) compare different models: model_union, model_radsize, and model_rad. Each graph plots Net Benefit against High Risk Threshold. The graphs show three lines: blue for model_union, green for model_radsize, and red for model_rad. The trends display varying performance across different risk thresholds.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Diagnostic performance of models</title>
<p>Radiomics models demonstrated robust performance in distinguishing malignant TNs from benign ones, with the Radunion model achieving the highest accuracy of 85.3% in the training cohort (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). The Radsize model had sensitivity, specificity, PPV, NPV, and accuracy rates of 71.4% (63.9&#x2212;78.9%), 80.7% (70.5&#x2212;90.9%), 90.1% (84.5&#x2212;95.6%), 53.5% (42.9&#x2212;64.0%), and 74.1% (68.0&#x2212;80.2%), respectively. This model also reduced the unnecessary biopsy rate to 21.1% (8.1&#x2212;34.0%) (<xref ref-type="table" rid="T4">
<bold>Table&#xa0;4</bold>
</xref>). The Radunion model demonstrated the best overall performance, with sensitivity, specificity, PPV, NPV, and accuracy rates of 90.5% (85.2&#x2212;95.8%), 56.8 (46.0&#x2212;67.6%), 75.0% (67.8&#x2212;82.2%), 80.7% (70.5&#x2212;90.9%), and 76.6% (70.7&#x2212;82.6%), respectively (<xref ref-type="table" rid="T4">
<bold>Table&#xa0;4</bold>
</xref>). It also reduced overtreatment by 13&#x2212;20% of false-positive cases. The accuracy of the ITS 100 system, Thynet online tools and two junior radiologists were 68.0%, 65.0%, 61.9% and 69.5%, respectively. Radiomics models outperformed the ITS 100 system and Thynet deep learning tools (<italic>p</italic> &lt; 0.05), as well as two junior radiologists in terms of diagnostic accuracy (radiomics models <italic>vs</italic>. Junior radiologist 2, <italic>p</italic> &lt; 0.05; radiomics models <italic>vs</italic>. Junior radiologist 1, <italic>p</italic> &gt; 0.05) (<xref ref-type="table" rid="T4">
<bold>Table&#xa0;4</bold>
</xref>). Two cases in <xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref> demonstrate that the radiomics models provided accurate and stable diagnoses among AI-based tools, and junior radiologists for two cases.</p>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>The performance of the Rad, Radsize, Radunion models.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" rowspan="2" align="left"/>
<th valign="middle" colspan="3" align="center">Training cohort(n = 136)</th>
<th valign="middle" colspan="3" align="center">Validation cohort(n = 61)</th>
<th valign="middle" colspan="3" align="center">Entire data(n = 197)</th>
</tr>
<tr>
<th valign="middle" align="center">rad</th>
<th valign="middle" align="center">radsize</th>
<th valign="middle" align="center">union</th>
<th valign="middle" align="center">rad</th>
<th valign="middle" align="center">radsize</th>
<th valign="middle" align="center">union</th>
<th valign="middle" align="center">rad</th>
<th valign="middle" align="center">radsize</th>
<th valign="middle" align="center">union</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">
<bold>sensitivity</bold>
</td>
<td valign="middle" align="center">86.7%<break/>(80.0%-93.5%)</td>
<td valign="middle" align="center">75.5%<break/>(67.0%-84.0%)</td>
<td valign="middle" align="center">84.7%<break/>(77.6%-91.8%)</td>
<td valign="middle" align="center">100%(100%-100%)</td>
<td valign="middle" align="center">85.7%(75.1%-96.3%)</td>
<td valign="middle" align="center">95.2%(88.8%-100.0%)</td>
<td valign="middle" align="center">82.9%<break/>(76.6%-89.1%)</td>
<td valign="middle" align="center">71.4%<break/>(63.9%-78.9%)</td>
<td valign="middle" align="center">90.5%<break/>(85.2%-95.8%)</td>
</tr>
<tr>
<td valign="middle" align="left">
<bold>specificity</bold>
</td>
<td valign="middle" align="center">57.9%<break/>(42.2%-73.6%)</td>
<td valign="middle" align="center">92.1%<break/>(83.5%-100%)</td>
<td valign="middle" align="center">86.8%(76.1%-97.6%)</td>
<td valign="middle" align="center">42.1%(19.9%-64.3%)</td>
<td valign="middle" align="center">73.7%(53.9%-93.5%)</td>
<td valign="middle" align="center">63.2%(41.5%-84.8%)</td>
<td valign="middle" align="center">52.6%<break/>(39.7%-65.6%)</td>
<td valign="middle" align="center">80.7%<break/>(70.5%-90.9%)</td>
<td valign="middle" align="center">56.8%<break/>(46.0%-67.6%)</td>
</tr>
<tr>
<td valign="middle" align="left">
<bold>PPV</bold>
</td>
<td valign="middle" align="center">84.2%<break/>(77.0%-91.3%)</td>
<td valign="middle" align="center">96.1%<break/>(91.8%-100%)</td>
<td valign="middle" align="center">94.3%(89.5%-99.2%)</td>
<td valign="middle" align="center">79.2%(68.3%-90.2%)</td>
<td valign="middle" align="center">87.8%(77.8%-97.8%)</td>
<td valign="middle" align="center">85.1%(74.9%-95.3%)</td>
<td valign="middle" align="center">81.1%<break/>(74.7%-87.5%)</td>
<td valign="middle" align="center">90.1%<break/>(84.5%-95.6%)</td>
<td valign="middle" align="center">75.0%<break/>(67.8%-82.2%)</td>
</tr>
<tr>
<td valign="middle" align="left">
<bold>NPV</bold>
</td>
<td valign="middle" align="center">62.9%<break/>(46.8%-78.9%)</td>
<td valign="middle" align="center">59.3%(46.8%-71.9%)</td>
<td valign="middle" align="center">68.8%(55.6%-81.9%)</td>
<td valign="middle" align="center">100%(100%-100%)</td>
<td valign="middle" align="center">70.0%(49.9%-90.1%)</td>
<td valign="middle" align="center">85.7%<break/>(67.4%-100.0%)</td>
<td valign="middle" align="center">55.6%<break/>(42.3%-68.8%)</td>
<td valign="middle" align="center">53.5%<break/>(42.9%-64.0%)</td>
<td valign="middle" align="center">80.7%<break/>(70.5%-90.9%)</td>
</tr>
<tr>
<td valign="middle" align="left">
<bold>f1_score</bold>
</td>
<td valign="middle" align="center">85.4%</td>
<td valign="middle" align="center">84.6%</td>
<td valign="middle" align="center">89.2%</td>
<td valign="middle" align="center">88.4%</td>
<td valign="middle" align="center">86.7%</td>
<td valign="middle" align="center">89.9%</td>
<td valign="middle" align="center">82.0%</td>
<td valign="middle" align="center">79.7%</td>
<td valign="middle" align="center">82.0%</td>
</tr>
<tr>
<td valign="middle" align="left">
<bold>accuracy</bold>
</td>
<td valign="middle" align="center">78.7%(71.8%-85.6%)</td>
<td valign="middle" align="center">80.1%(73.4%-86.9%)</td>
<td valign="middle" align="center">85.3%(79.3%-91.2%)</td>
<td valign="middle" align="center">82.0%(72.3%-91.6%)</td>
<td valign="middle" align="center">82.0%(72.3%-91.6%)</td>
<td valign="middle" align="center">85.2%(76.3%-94.1%)</td>
<td valign="middle" align="center">74.1%<break/>(68.0%-80.2%)</td>
<td valign="middle" align="center">74.1%<break/>(68.0%-80.2%)</td>
<td valign="middle" align="center">76.6%<break/>(70.7%-82.6%)</td>
</tr>
<tr>
<td valign="middle" align="left">
<bold>p_value</bold>
</td>
<td valign="middle" align="center">&lt;0.001</td>
<td valign="middle" align="center">&lt;0.001</td>
<td valign="middle" align="center">&lt;0.001</td>
<td valign="middle" align="center">&lt;0.001</td>
<td valign="middle" align="center">&lt;0.001</td>
<td valign="middle" align="center">&lt;0.001</td>
<td valign="middle" align="center">&lt;0.001</td>
<td valign="middle" align="center">&lt;0.001</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="left">
<bold>auc</bold>
</td>
<td valign="middle" align="center">0.775<break/>(0.686-0.864)</td>
<td valign="middle" align="center">0.893<break/>(0.832-0.955)</td>
<td valign="middle" align="center">0.917<break/>(0.870-0.964)</td>
<td valign="middle" align="center">0.731<break/>(0.583-0.878)</td>
<td valign="middle" align="center">0.856<break/>(0.747-0.964)</td>
<td valign="middle" align="center">0.868<break/>(0.772-0.965)</td>
<td valign="middle" align="center">0.729(0.650-0.808)</td>
<td valign="middle" align="center">0.840(0.779-0.902)</td>
<td valign="middle" align="center">0.860(0.804-0.916)</td>
</tr>
<tr>
<td valign="middle" align="left">
<bold>Youden_index</bold>
</td>
<td valign="middle" align="center">44.6%</td>
<td valign="middle" align="center">67.6%</td>
<td valign="middle" align="center">73.5%</td>
<td valign="middle" align="center">42.1%</td>
<td valign="middle" align="center">59.4%</td>
<td valign="middle" align="center">58.4%</td>
<td valign="middle" align="center">36.9%</td>
<td valign="middle" align="center">53.5%</td>
<td valign="middle" align="center">55.7%</td>
</tr>
<tr>
<td valign="middle" align="left">
<bold>UFR</bold>
</td>
<td valign="middle" align="center">55.2%<break/>(37.1%-73.3%)</td>
<td valign="middle" align="center">10.3%<break/>(0.0-21.4%)</td>
<td valign="middle" align="center">25.0%<break/>(6.0%-44.0%)</td>
<td valign="middle" align="center">100%<break/>(100%-100%)</td>
<td valign="middle" align="center">35.7%<break/>(10.6%-60.8%)</td>
<td valign="middle" align="center">77.8%<break/>(50.6%-100.0%)</td>
<td valign="middle" align="center">52.9%<break/>(39.2%-66.6%)</td>
<td valign="middle" align="center">21.6%(10.3%-32.9%)</td>
<td valign="middle" align="center">&#x2013;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Rad model integrates only radiomics features, Radsize model integrates radiomics features and nodular size, Radunion model integrates radiomics features, nodular size and Bethesda classification. PPV, positive predictive value; NPV, negative predictive value; UFR, unnecessary biopsy rate. n=136/61/197 means the number of nodules in training cohort , validation cohort and entire cohort, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<table-wrap id="T4" position="float">
<label>Table&#xa0;4</label>
<caption>
<p>Performance summary among AI tools, radiologists and two radiomic models.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">model</th>
<th valign="middle" align="center">Senior radiologist</th>
<th valign="middle" align="center">Junior radiologist 1</th>
<th valign="middle" align="center">Junior radiologist 2</th>
<th valign="middle" align="center">ITS 100</th>
<th valign="middle" align="center">Thynet</th>
<th valign="middle" align="center">Radsize model</th>
<th valign="middle" align="center">Radunion model</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">sensitivity</td>
<td valign="middle" align="center">92.1%<break/>(87.7%-96.6%)</td>
<td valign="middle" align="center">66.4%(58.6%-74.3%)</td>
<td valign="middle" align="center">87.1%(81.6%-92.7%)</td>
<td valign="middle" align="center">70.7%(63.2%-78.3%)</td>
<td valign="middle" align="center">74.3%(67.0%-81.5%)</td>
<td valign="middle" align="center">71.4%<break/>(63.9%-78.9%)</td>
<td valign="middle" align="center">90.5%<break/>(85.2%-95.8%)</td>
</tr>
<tr>
<td valign="middle" align="left">specificity</td>
<td valign="middle" align="center">50.9%<break/>37.9%-63.9%)</td>
<td valign="middle" align="center">50.9%(37.9%-63.9%)</td>
<td valign="middle" align="center">26.3%(14.9%-37.7%)</td>
<td valign="middle" align="center">61.4%(48.8%-74.0%)</td>
<td valign="middle" align="center">42.1%(29.3%-54.9%)</td>
<td valign="middle" align="center">80.7%<break/>(70.5%-90.9%)</td>
<td valign="middle" align="center">56.8<break/>(46.0%-67.6%)</td>
</tr>
<tr>
<td valign="middle" align="left">PPV</td>
<td valign="middle" align="center">82.2%<break/>(76.2%-88.2%)</td>
<td valign="middle" align="center">76.9%(69.3%-84.4%)</td>
<td valign="middle" align="center">74.4%(67.7%-81.1%)</td>
<td valign="middle" align="center">81.8%(74.9%-88.7%)</td>
<td valign="middle" align="center">75.9%(68.8%-83.1%)</td>
<td valign="middle" align="center">90.1%<break/>(84.5%-95.6%)</td>
<td valign="middle" align="center">75.0%<break/>(67.8%-82.2%)</td>
</tr>
<tr>
<td valign="middle" align="left">NPV</td>
<td valign="middle" align="center">72.5%<break/>(58.7%-86.3%)</td>
<td valign="middle" align="center">38.2%(27.2%-49.1%)</td>
<td valign="middle" align="center">45.5%<break/>(28.5%-62.4%)</td>
<td valign="middle" align="center">46.1%(34.8%-57.3%)</td>
<td valign="middle" align="center">40.0%(27.6%-52.4%)</td>
<td valign="middle" align="center">53.5%<break/>(42.9%-64.0%)</td>
<td valign="middle" align="center">80.7%(70.5%-90.9%)</td>
</tr>
<tr>
<td valign="middle" align="left">f1_score</td>
<td valign="middle" align="center">86.90%</td>
<td valign="middle" align="center">71.3%</td>
<td valign="middle" align="center">80.3%</td>
<td valign="middle" align="center">75.9%</td>
<td valign="middle" align="center">75.1%</td>
<td valign="middle" align="center">79.7%</td>
<td valign="middle" align="center">82.00%</td>
</tr>
<tr>
<td valign="middle" align="left">accuracy</td>
<td valign="middle" align="center">80.2%<break/>(74.6%-85.8%)</td>
<td valign="middle" align="center">61.9%(55.1%-68.7%)</td>
<td valign="middle" align="center">69.5%<break/>(63.1%-76.0%)</td>
<td valign="middle" align="center">68.0%(61.5%-74.5%)</td>
<td valign="middle" align="center">65.0%(58.3%-71.6%)</td>
<td valign="middle" align="center">74.1%<break/>(68.0%-80.2%)</td>
<td valign="middle" align="center">76.6%<break/>(70.7%-82.6%)</td>
</tr>
<tr>
<td valign="middle" align="left">p_value</td>
<td valign="middle" align="center">&lt;0.001</td>
<td valign="middle" align="center">0.036</td>
<td valign="middle" align="center">0.037</td>
<td valign="middle" align="center">&lt;0.001</td>
<td valign="middle" align="center">0.036</td>
<td valign="middle" align="center">&lt;0.001</td>
<td valign="middle" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="middle" align="left">UFR</td>
<td valign="middle" align="center">71.8%<break/>(57.7%-85.9%)</td>
<td valign="middle" align="center">37.3%(26.4%-48.3%)</td>
<td valign="middle" align="center">70.0%(58.4%-81.6%)</td>
<td valign="middle" align="center">34.9%(23.1%-46.7%)</td>
<td valign="middle" align="center">47.8%(36.0%-59.6%)</td>
<td valign="middle" align="center">21.1%(8.1%-34.0%)</td>
<td valign="middle" align="center">_</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>ITS100, Ian Thyroid Solution 100, Thynet, online Thyroid AI auxiliary tools, Radsize model integrates radiomics features and nodular size, Radunion model integrates radiomics features, nodular size and Bethesda classification. PPV, positive predictive value; NPV, negative predictive value; UFR, unnecessary biopsy rate.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Diagnosis of two nodules: Case 1 was a hypoechoic nodule in the right lobe of the thyroid. <bold>(a, b)</bold> Transverse and longitudinal US images. <bold>(c)</bold> Bethesda IV after FNA, and <bold>(d)</bold> histopathological result: benign. Two AI models classified it as a &#x201c;benign&#x201d; nodule, while two junior radiologists assessed it as &#x201c;malignant,&#x201d; and all three radiomics models classified it as &#x201c;benign.&#x201d; Case 2 was a hypoechoic nodule in the left lobe of the thyroid. <bold>(e, f)</bold> Transverse and longitudinal US images. <bold>(g)</bold> Bethesda III after FNA, and <bold>(h)</bold> histopathological result: benign. Two AI models classified it as &#x201c;malignant,&#x201d; two junior radiologists assessed it as &#x201c;benign,&#x201d; and all three radiomics models classified it as &#x201c;benign.&#x201d; Its histopathological diagnosis is &#x201c;benign.&#x201d;.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-16-1615304-g006.tif">
<alt-text content-type="machine-generated">A composite image with different panels showing ultrasound scans and microscopic tissue analyses. Panels (a)(b)(e)(f) are ultrasound images with arrows pointing to specific areas, likely indicating abnormalities or features. Panels (c)(d)(g)(h) display microscopic images of tissue stained to highlight cellular structures, showing varying densities and distributions of cells, possibly indicating different pathological conditions. Each panel is marked with a letter for identification.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<p>In this study, we developed three radiomics models using US images of ITNs. The models were constructed as follows: the Rad model, based solely on radiomics features; the Radsize model, which incorporated nodular size and radiomics features; and the Radunion model, which included the Bethesda classification along with the Radsize model features. The models achieved diagnostic accuracies ranging from 74.1% to 85.3% across all ITN cohorts, outperforming both junior radiologists and two AI-assisted diagnostic tools. This demonstrates the potential of radiomics models to differentiate malignant from benign ITNs. Notably, the Radsize model reduced unnecessary biopsy rates by at least 13.8%, while the Radunion model could potentially spare 13%&#x2013;20% of ITNs from diagnostic surgery prior to intervention.</p>
<p>Beyond radiomics features, our findings identified nodular size, Bethesda classification, and microscopic capsular invasion as significant predictive factors for ITN malignancy. Interestingly, none of the five ACR TI-RADS-recommended features (composition, echogenicity, shape, border, and echogenic foci) significantly predicted malignancy in ITNs within our cohort (<xref ref-type="bibr" rid="B28">28</xref>). This suggests a potential need to refine conventional diagnostic criteria for ITNs.</p>
<p>In our cohort, benign and malignant ITNs exhibited significant differences in nodule size, which corroborates findings by Xavier et&#xa0;al., who identified nodular size as a key factor in model development (<xref ref-type="bibr" rid="B25">25</xref>). The ACR guidelines associate larger nodules with higher malignancy risks, recommending FNA for nodules &gt;2.5 cm in TR3 categories or follow-up for nodules &lt;1.5 cm. However, our results showed that most malignant nodules were smaller, likely reflecting the increased prevalence of papillary thyroid microcarcinomas (&lt;10 mm). Bethesda classification showed that Bethesda IV nodules were at higher risk of malignancy than Bethesda III nodules, which aligns with existing guidelines (<xref ref-type="bibr" rid="B2">2</xref>).</p>
<p>The Radsize model demonstrated significantly improved performance in both the training and entire cohorts compared to the Rad model. Furthermore, including the Bethesda classification in the Radunion model enhanced diagnostic precision, reducing the need for diagnostic surgery. Similarly, Gr&#xe9;goire et&#xa0;al. incorporated Bethesda classifications into logistic regression models for Bethesda III&#x2013;V nodules, demonstrating comparable improvements (<xref ref-type="bibr" rid="B20">20</xref>). Although microscopic capsular invasion showed no preoperative diagnostic value, gross extrathyroidal extension diagnosed via preoperative US remains a key determinant for surgical planning in thyroid cancers (<xref ref-type="bibr" rid="B29">29</xref>).</p>
<p>The diagnostic accuracy of the Rad model was comparable to that of an SVM-based model by Chen et&#xa0;al. (74.1% <italic>vs</italic>. 71.8%) (<xref ref-type="bibr" rid="B26">26</xref>), which utilized clinical and sonographic features such as composition, echogenicity, margins, shape, echogenic foci, and nodule size in 194 ITNs (Bethesda III/IV/V). The AUC of the Radsize model outperformed that of the ResNet-50 model, which integrated radiomics features from 88 ITNs (0.840 <italic>vs</italic>. 0.740) (<xref ref-type="bibr" rid="B25">25</xref>), and was comparable to the multiple-modality models by Gr&#xe9;goire et&#xa0;al. (<xref ref-type="bibr" rid="B20">20</xref>), which combined clinical data with the Bethesda and French TI-RADS categories. These findings suggest that US radiomics may play an important role in enhancing the differential diagnosis of ITNs.</p>
<p>The Radunion model achieved an AUC of 0.860 and the highest accuracy of 76.6% among junior radiologists, the Thynet online tools, and the ITS 100 system. In contrast, the previous Thynet tool, based on a deep learning algorithm and trained on 22,354 US images, achieved an AUC of 0.922 (<xref ref-type="bibr" rid="B23">23</xref>) but yielded an accuracy of only 65% in our ITN cohort. Part of Thynet&#x2019;s training set included Bethesda II or VI nodules, which lack the characteristic features commonly observed in ITN US images. Most training images were from surgical nodules with a high malignant potential, which may explain why the Thynet model was less capable of generalizing to ITN images and tended to assign cases to the malignant category. This could also explain the discrepancies observed in the ITS 100 system. The commercial ITS 100 system, which examined 1,007 TN US images, exhibited a sensitivity of 92.21%, specificity of 83.20%, and accuracy of 89.97% (<xref ref-type="bibr" rid="B30">30</xref>). However, in our ITN cohort, the sensitivity was 70.7%, specificity was 61.4%, and accuracy was 65%. Similarly, the S-Detect unit, an AI model for TNs (<xref ref-type="bibr" rid="B31">31</xref>), achieved an accuracy of 81.7% for 454 TNs but only an AUC of 0.795 for 159 ITNs (<xref ref-type="bibr" rid="B32">32</xref>). In the current cohort, the Radunion model misclassified 47 ITNs, including 11 benign ITNs and 36 malignant ITNs for pathology. The nodule sizes were evenly distributed from 0.3 to 3.7 cm, 26 Bethesda III nodules with a size distribution of 0.3-3.7 cm, and 21 Bethesda IV nodules with a size distribution of 0.4-2.1 cm.</p>
<p>These AI models were designed to reduce clinical workload and improve the efficiency of junior radiologists (<xref ref-type="bibr" rid="B33">33</xref>). One of the primary objectives of US radiomic studies is to avoid unnecessary biopsies in patients with benign nodules. Park et&#xa0;al. (<xref ref-type="bibr" rid="B22">22</xref>) combined radiomics with the ACR or American Thyroid Association guidelines (<xref ref-type="bibr" rid="B3">3</xref>, <xref ref-type="bibr" rid="B28">28</xref>) and found that all readers showed improved performance and reduced unnecessary fine-needle aspiration (FNA) rates. Huang et&#xa0;al. (<xref ref-type="bibr" rid="B27">27</xref>) developed a radiomics nomogram that achieved an unnecessary FNA rate of 18.66% while maintaining an accuracy of 82.48% for TNs. The Thynet-assisted strategy, a well-established method, reduced the number of FNAs from 61.9% to 35.2% in a simulated scenario (<xref ref-type="bibr" rid="B23">23</xref>). In this study, we provide evidence that the Radsize model can reduce the unnecessary biopsy rate by up to 48.9% compared to junior radiologists, achieving an unnecessary biopsy rate of 21.1%. These results indicate that US radiomics models hold significant promise in the preoperative diagnosis of ITNs, especially for less experienced radiologists.</p>
<p>This study had some limitations. First, the proportion of malignant nodules in the entire cohort of ITNs from a single medical center (71.1%, 140/197) was higher than that reported in other studies (<xref ref-type="bibr" rid="B19">19</xref>, <xref ref-type="bibr" rid="B22">22</xref>), potentially introducing selection bias, such as lower specificity and lower NPV. The proportion of malignant cases would influence the generalizability and robustness of models among other dataset. Diagnostic thresholds for models may be low, leading to reduced predictive power for low-risk populations. Models may be overfitted to high-risk characteristics, making it difficult to accurately identify people at average risk. No more populations for external validation is the second shortage. The majority of patients at our center present with higher-risk nodules and tend to prefer ablative therapy when the nodular size &lt;10 mm (<xref ref-type="bibr" rid="B34">34</xref>), some patients with nodular size &gt;10 mm also require to try ablation therapy, leaving the patients with bigger or more risky nodule have to undergo the surgery, which results in a higher percentage of malignant nodules among those undergoing surgery. To address this limitation, collaboration across multiple medical centers is needed to further optimize and validate the performance of these radiomics models by different populations. Meanwhile, the retrospective design and potential variability in US image acquisition also effects the results. Thus, collecting row data in prospective research and expanding the range of imaging data, including contrast-enhanced US, microvascular imaging, and super-resolution US, is necessary. Combining multiple-modality models will be promising in improving diagnostic performance and minimizing unnecessary biopsies for ITNs (<xref ref-type="bibr" rid="B35">35</xref>, <xref ref-type="bibr" rid="B36">36</xref>). Finally, we should consider further optimization and applicability studies for the model performance. We should establish clear conditions for the applicability of such a model in the clinical process and the management of its use, including a systematic training program for its users.</p>
</sec>
<sec id="s5" sec-type="conclusions">
<label>5</label>
<title>Conclusions</title>
<p>The US radiomics models developed in this study, particularly the Radsize and Radunion models, demonstrate the potential to serve as convenient and accurate adjunct tools for predicting malignancy in ITN. These models can significantly enhance diagnostic performance, particularly for junior radiologists, by improving accuracy and reducing unnecessary interventions, such as biopsies and surgeries. Our findings highlight the broader implications of adopting radiomics-based approaches in clinical practice, including more standardized diagnoses and improved patient management. Future studies should prioritize validating these models across diverse populations and integrating additional imaging modalities, such as contrast-enhanced and super-resolution US, to further optimize their diagnostic capabilities.</p>
</sec>
</body>
<back>
<sec id="s6" sec-type="data-availability">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Material</bold>
</xref>. Further inquiries can be directed to the corresponding authors.</p>
</sec>
<sec id="s7" sec-type="ethics-statement">
<title>Ethics statement</title>
<p>The studies involving humans were approved by Institutional Ethics Committee of the Chinese People&#x2019;s Liberation Army General Hospital. 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&#x2019; legal guardians/next of kin in accordance with the national legislation and institutional requirements.</p>
</sec>
<sec id="s8" sec-type="author-contributions">
<title>Author contributions</title>
<p>LC: Formal Analysis, Writing &#x2013; review &amp; editing, Writing &#x2013; original draft, Investigation. YW: Data curation, Investigation, Writing &#x2013; review &amp; editing. HJ: Data curation, Investigation, Writing &#x2013; review &amp; editing. RB: Validation, Writing &#x2013; review &amp; editing. BS: Writing &#x2013; review &amp; editing, Validation. MZ: Writing &#x2013; review &amp; editing, Writing &#x2013; original draft. YL: Writing &#x2013; review &amp; editing, Project administration.</p>
</sec>
<sec id="s9" sec-type="funding-information">
<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>
<ack>
<title>Acknowledgments</title>
<p>We thank Prof. Wang from the Ultrasomics Artificial Intelligence X-Laboratory of the First Affiliated Hospital of Sun Yat-sen University for providing the Thynet online tools. We thank Editage (<ext-link ext-link-type="uri" xlink:href="http://www.editage.cn">www.editage.cn</ext-link>) for English language editing.</p>
</ack>
<sec id="s10" 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="s11" sec-type="ai-statement">
<title>Generative AI statement</title>
<p>The author(s) declare that no Generative AI was used in the creation of this manuscript.</p>
</sec>
<sec id="s12" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec id="s13" sec-type="supplementary-material">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fendo.2025.1615304/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fendo.2025.1615304/full#supplementary-material</ext-link>.</p>
<supplementary-material xlink:href="Image1.tif" id="SM1" mimetype="image/tiff"/>
<supplementary-material xlink:href="Image2.tif" id="SM2" mimetype="image/tiff"/>
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