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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Oncol.</journal-id>
<journal-title>Frontiers in Oncology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Oncol.</abbrev-journal-title>
<issn pub-type="epub">2234-943X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fonc.2025.1595157</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Oncology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Intravoxel incoherent motion-based habitat imaging for the prediction of immunohistochemistry in patients with breast cancer</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Wang</surname>
<given-names>Ailing</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/methodology/"/>
</contrib>
<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>He</surname>
<given-names>Muzhen</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</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/conceptualization/"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Chengxiu</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/software/"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Zheng</surname>
<given-names>Yunyan</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2871751/overview"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Song</surname>
<given-names>Yang</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Chenglong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1860697/overview"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Ma</surname>
<given-names>Mingping</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
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</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Yang</surname>
<given-names>Guang</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-group>
<aff id="aff1">
<sup>1</sup>
<institution>Shanghai Key Laboratory of Magnetic Resonance, East China Normal University</institution>, <addr-line>Shanghai</addr-line>,&#xa0;<country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Radiology, Shengli Clinical Medical College of Fujian Medical University, Fujian Provincial Hospital</institution>, <addr-line>Fuzhou</addr-line>,&#xa0;<country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Magnetic Resonance (MR) Research Collaboration Team, Siemens Healthineers (China)</institution>, <addr-line>Shanghai</addr-line>,&#xa0;<country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Karen Elizabeth Nava-Castro, National Autonomous University of Mexico, Mexico</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Guanwu Li, Shanghai University of Traditional Chinese Medicine, China</p>
<p>Hongxiao Li, Chinese Academy of Medical Sciences and Peking Union Medical College, China</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Guang Yang, <email xlink:href="mailto:gyang@phy.ecnu.edu.cn">gyang@phy.ecnu.edu.cn</email>
</p>
</fn>
<fn fn-type="equal" id="fn003">
<p>&#x2020;These authors have contributed equally to this work and share first authorship</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>27</day>
<month>06</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>15</volume>
<elocation-id>1595157</elocation-id>
<history>
<date date-type="received">
<day>17</day>
<month>03</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>09</day>
<month>06</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Wang, He, Zhang, Zheng, Song, Wang, Ma and Yang</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Wang, He, Zhang, Zheng, Song, Wang, Ma and Yang</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>Background</title>
<p>To explore the value of intravoxel incoherent motion (IVIM)-based habitat imaging in predicting immunohistochemistry in patients with breast cancer.</p>
</sec>
<sec>
<title>Methods</title>
<p>299 patients with suspected breast cancer were randomly assigned to a training set of 210 individuals and a test set of 89 individuals. A series of models was constructed for human epidermal growth factor receptor 2 (HER2)/Ki-67/hormone receptors (HR)/lymph node metastasis (LNM) prediction, including the whole-tumor model, habitat model, conventional MRI features (CF) model and hybrid model (incorporating habitats features and CF). The performance of various models was evaluated with the area under the receiver operating characteristic curve (AUC) and decision curve analysis (DCA). P (two-tailed) &lt; 0.05 was considered statistically significant.</p>
</sec>
<sec>
<title>Results</title>
<p>On the test cohort, for HER2/HR/LNM, the habitats model achieved the highest AUC values of 0.692/0.651/0.722, higher than those of the whole-tumor model (AUC = 0.591/0.599/0.609) and the CF model (AUC = 0.598/0.603/0.608). For Ki-67, the CF model achieved a highest AUC of 0.746. The hybrid model achieved AUC values of 0.706/0.762/0.668/0.728 for HER2/Ki67/HR/LNM. DeLong test showed a significant difference between habitats model and the whole-tumor model for LNM (<italic>P</italic> = 0.006).</p>
</sec>
<sec>
<title>Conclusion</title>
<p>While habitat features can provide richer biological information, the models combining habitats and CF obtained more accurate results than other models, making them promising candidates for clinical application in breast cancer diagnosis.</p>
</sec>
</abstract>
<kwd-group>
<kwd>habitat</kwd>
<kwd>intravoxel incoherent motion (IVIM)</kwd>
<kwd>breast cancer</kwd>
<kwd>immunohistochemistry</kwd>
<kwd>radiomics</kwd>
</kwd-group>
<counts>
<fig-count count="6"/>
<table-count count="2"/>
<equation-count count="0"/>
<ref-count count="43"/>
<page-count count="12"/>
<word-count count="5206"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Breast Cancer</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<title>Introduction</title>
<p>Breast cancer ranks among the most common cancers impacting&#xa0;women globally (<xref ref-type="bibr" rid="B1">1</xref>). It is a diverse disease characterized by a range of histopathological traits, molecular classifications, and clinical patterns, necessitating ongoing research to enhance diagnostic accuracy, prognostic assessments, and therapeutic approaches (<xref ref-type="bibr" rid="B2">2</xref>, <xref ref-type="bibr" rid="B3">3</xref>). Immunohistochemistry (IHC) plays a vital role in the characterization of breast cancer, utilizing biomarkers such as hormone receptors (HR), human epidermal growth factor receptor 2 (HER2), Ki-67, and lymph node metastasis (LNM) to identify subtypes, predict prognosis, and assess treatment responsiveness (<xref ref-type="bibr" rid="B4">4</xref>). HR-positive cancers respond well to hormonal therapies, while HER2-positive cancers are more aggressive but can be targeted by drugs like trastuzumab. Ki-67 levels indicate tumor proliferation and LNM is crucial for staging and prognosis, influencing treatment strategies (<xref ref-type="bibr" rid="B5">5</xref>&#x2013;<xref ref-type="bibr" rid="B8">8</xref>).</p>
<p>Magnetic resonance imaging (MRI) significantly improves the diagnosis, staging, and management of breast cancer by providing high-quality soft tissue contrast along with comprehensive functional insights (<xref ref-type="bibr" rid="B9">9</xref>). Intravoxel incoherent motion (IVIM) can obtain multiple quantitative parameters, such as the apparent pure diffusion coefficient (D), pseudo-diffusion coefficient (D*), and perfusion fraction (<italic>f</italic>) from multiple diffusion weighted imaging (DWI) images with different b-values using a biexponential fitting algorithm (<xref ref-type="bibr" rid="B10">10</xref>&#x2013;<xref ref-type="bibr" rid="B12">12</xref>). These parameters provide non-invasively information about diffusion and perfusion simutaneously, allowing for a better characterization of breast cancer.</p>
<p>Radiomics extracts quantitative features from medical images, offering insights beyond what is visible to the human eye (<xref ref-type="bibr" rid="B13">13</xref>). MRI-based radiomics aids in tumor characterization and predicting treatment response (<xref ref-type="bibr" rid="B14">14</xref>). However, it is often challenging to relate radiomics features to biological or physiological meanings. A rule of thumb for radiomics study is that radiomics features should be extracted from a well-mixed region, but lesions of tumor may comprise of mesoscopically inhomogeneous regions of different characteristics, limiting its potential for medical research and treatment decision-making (<xref ref-type="bibr" rid="B14">14</xref>, <xref ref-type="bibr" rid="B15">15</xref>).</p>
<p>Habitat analysis in radiomics addresses tumor heterogeneity by analyzing different regions, or &#x201c;habitats&#x201d;, within the tumor (<xref ref-type="bibr" rid="B16">16</xref>). This method takes into account the spatial complexity of tumors and offers valuable insights into their biological characteristics (<xref ref-type="bibr" rid="B17">17</xref>). IVIM imaging provides valuable parameters that describe both perfusion and diffusion within each voxel, while diffusion indicates the integrity and density of the cellular structure (<xref ref-type="bibr" rid="B18">18</xref>). Consequently, subregions clustered by IVIM parameters correspond to regions with different physiological characteristics. For example, regions with high cell density and high perfusion may correspond to areas of active tumor growth, whereas regions with low cell density and low perfusion may correspond to less aggressive or necrotic tissue (<xref ref-type="bibr" rid="B19">19</xref>). At the same time, integrating habitat features with clinical factors may contribute to a more comprehensive understanding of the biology of diseases and promote the development of precision medicine (<xref ref-type="bibr" rid="B20">20</xref>, <xref ref-type="bibr" rid="B21">21</xref>). This study aims to explore the value of IVIM-based habitat imaging in predicting IHC in patients with breast cancer.</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<title>Materials and methods</title>
<sec id="s2_1">
<title>Study setting and timeframe</title>
<p>This retrospective study included patients with suspected breast cancer treated at Fujian Provincial Hospital from July 2019 to August 2023. The study protocol was approved by the hospital&#x2019;s ethics committee (approval code: K2021-05-007, May 2019), and all methods adhered to relevant guidelines and regulations (<xref ref-type="bibr" rid="B22">22</xref>). Written informed consent to participate was obtained from all the patients. The inclusion criteria were: (I) no needle biopsy, radiotherapy, or chemotherapy before MRI examination; (II) availability of complete MRI review data with good image quality; (III) availability of complete pathological data; and (IV) without multicentric tumor. The process of patient selection and grouping has been illustrated in <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Flowchart depicting patient selection and grouping.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fonc-15-1595157-g001.tif">
<alt-text content-type="machine-generated">Flowchart depicting a study  where 335 patients with suspected breast cancer underwent magnetic resonance imaging.  Thirty-six  patients were excluded due  to benign tumors (13), poor image quality (8), or loss of follow-up or information (15). The remaining 299  patients were  diagnosed with breast cancer.</alt-text>
</graphic>
</fig>
<p>The whole dataset was split into training and test cohorts at a 7:3 ratio. The training cohort was utilized for constructing the diagnostic model, while the test cohort was set aside for model evaluation. The study workflow was illustrated in <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>.</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Workflow of the study.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fonc-15-1595157-g002.tif">
<alt-text content-type="machine-generated">Diagram showing a medical imaging  process and  model development work&#xfb02;ow. Left column includes MR images labeled T1 DCE Vibe and  IVIM f &amp; D. Steps  for Image  Process include ROI Annotation, Registration, and  Resampling. Habitats Analysis shows image segmentation. Feature Extraction involves  graph and  data analysis. The right section depicts Model  Development, listing Whole-tumor Model, Habitats Model,  CF Model,  and Hybrid Model.  Arrows indicate Training and  Test processes leading to Independent Test Evaluation, with charts illustrating Clinical Statistics  by ROC, DCA, etc.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s2_2">
<title>Immunohistochemical analysis</title>
<p>HR-positive status was defined as &#x2265;1% of tumor cell nuclei staining positively for either ER or PR, while HR-negative status was indicated by &lt;1% positivity for both. Tumors with an HER2 membrane immunostaining score of 3+ were classified as HER2-positive, whereas a score of 2+ necessitated <italic>in situ</italic> hybridization to confirm HER2 amplification. Ki67 positivity required &#x2265;30% of tumor cell nuclei to stain positively for Ki67. LNM positivity was defined as the presence of cancer cells in one or more lymph nodes, as determined through histopathological examination. Tissue examination was conducted by a pathologist (Y.H.) with two decades of expertise in breast tumor diagnosis.</p>
</sec>
<sec id="s2_3">
<title>Imaging studies</title>
<p>MRI scans were conducted using a 3T scanner (MAGNETOM Prisma, Siemens Healthcare, Erlangen, Germany). To reduce noise and minimize anxiety-related motion, patients were provided earplugs prior to the examination. Scanning was conducted in a prone position, allowing the breasts to rest naturally within the coil. Detailed sequence parameters are provided in <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Table S1</bold>
</xref>. For the contrast-enhanced scans, patients were administered gadopentetate meglumine (Magnevist, 0.2 mmol/kg; GE Healthcare). A high-pressure syringe was used to inject the contrast agent into a dorsal hand vein at a flow rate of 1.5&#x2013;2.0 mL/s, followed by a flush with 15&#x2013;20&#xa0;mL of normal saline to remove any remaining agent.</p>
<p>Voxel-wise fitting of diffusion-weighted imaging data was performed to produce IVIM maps, incorporating parameters D, f, and D*, using the Body Diffusion Toolbox software (Siemens Healthcare, Erlangen, Germany). The IVIM parameters D, f, and D* were estimated using a segmented fitting approach. Based on previous studies, a b-value threshold of 200 s/mm&#xb2; was used to separate the perfusion and diffusion components (<xref ref-type="bibr" rid="B11">11</xref>). The D parameter was first obtained by linear fitting of the logarithmic signal at b-values above 200 s/mm&#xb2;. Subsequently, D and the full signal were used in a nonlinear biexponential fitting to estimate f and D*.</p>
</sec>
<sec id="s2_4">
<title>Conventional MRI features</title>
<p>The tumor on the MR images was evaluated and annotated based on the 2013 Breast Imaging - Reporting and Data System (BI-RADS) guidelines for MRI. This was done by two radiologists: M.H., with 14 years of experience in breast imaging, and Y.Z., with 5 years of experience. They focused on conventional MRI features (CF), such as fibroglandular tissue (FGT), background parenchymal enhancement (BPE), high T2 signal, mass shape, mass margin, internal enhancement pattern, non-mass internal enhancement pattern, architectural distortion, and time-intensity curve.</p>
</sec>
<sec id="s2_5">
<title>Tumor segmentation</title>
<p>The IVIM images were analyzed using 3D Slicer (v4.10.2, <ext-link ext-link-type="uri" xlink:href="http://www.slicer.org">www.slicer.org</ext-link>) for segmentation. The first radiologist, M.H., with 14 years of experience in breast imaging, performed the segmentation by outlining a three-dimensional volume of interest (VOI) that covered the solid tumor component, based on dynamic contrast-enhanced MRI scans. A second radiologist, Y.Z., with 5 years of experience, independently segmented 30 randomly chosen tumors from the training set. The repeated VOIs were used to evaluate the feature robustness.</p>
</sec>
<sec id="s2_6">
<title>Habitat analysis and feature extraction</title>    <p>For whole-tumor analysis, we used the open-source FAE (v0.5.7) based on PyRadiomics to extract features from the VOI in images of each sequence (<xref ref-type="bibr" rid="B23">23</xref>). These radiomic features include shape, first order, and texture features based on gray-level co-occurrence matrix (GLCM), gray-level size zone matrix (GLSZM), gray-level run length matrix (GLRLM), neighborhood gray tone difference matrix (NGTDM) and gray-level dependence matrix (GLDM). The specific image preprocessing procedures include Z-score normalization and equal frequency discretization. The complete feature extraction procedure is performed following the guidelines provided by the imaging biomarker standardization initiative (IBSI) to ensure that the extracted features are reproducible (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Methods</bold>
</xref>) (<xref ref-type="bibr" rid="B24">24</xref>).</p>    <p>For habitat analysis, the intensity of D and <italic>f</italic> of each voxel in the VOI was combined into a two-dimensional vector, and K-means clustering, an unsupervised clustering method, was used to cluster all vectors in the VOI into clusters. By assigning all voxels in the same cluster to a same subregion, the whole VOI was divided into subregions. To determine the optimal K value for K-means clustering, we utilized the calinski-harabasz (CH) Score (<xref ref-type="bibr" rid="B25">25</xref>) (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary 1</bold>
</xref>). For each subregion within the VOI, we calculated its volume and volume fraction, and extracted first-order histogram features from D-map and f-map.</p>
</sec>
<sec id="s2_7">
<title>Feature selection and model construction</title>
<p>Based on the original whole-tumor features, habitat features, and CF, we developed four types of IHC models. After conducting feature selection and model training, we constructed the whole-tumor model, habitat model, and CF model to predict each type of IHC. Further, we combined the habitats features and the CF features to construct the hybrid model.</p>
<p>To enhance model robustness, interobserver reproducibility was evaluated using the two-way random absolute agreement intraclass correlation coefficient (ICC). Features with an ICC below 0.75 were excluded, retaining only those deemed stable.</p>    <p>We normalized the features in the training set using Z-scores and eliminated redundant features based on the Pearson correlation coefficient (PCC). For pairs of features with a PCC greater than 0.99, one was randomly removed. For whole tumor radiomics models utilizing a large number of features, feature selection was conducted using least absolute shrinkage and selection operator (LASSO) regression, where the alpha parameter was set between 5&#x2013;<sup>3</sup> to 5&#x2013;<sup>2</sup> (<xref ref-type="bibr" rid="B26">26</xref>). For the final model construction, we combined four feature selection algorithms and two classifiers, selecting the optimal model based on the highest cross-validation area under the curve (AUC) during 5-fold cross-validation on the training cohort. The feature selection algorithms employed were recursive feature elimination (RFE), the Kruskal-Wallis (KW) test, analysis of variance (ANOVA) and Relief, while the classifiers used were support vector machine (SVM) and logistic regression (LR). Additional details are provided in <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary 2</bold>
</xref> and <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary 3</bold>
</xref>.</p>
</sec>
<sec id="s2_8">
<title>Statistical analysis</title>
<p>Statistical analysis was conducted using SPSS v28.0.1.1. The normality of continuous variables was tested with the Shapiro-Wilk test, while Levene&#x2019;s test was used to assess homogeneity of variance. Variables with a normal distribution were expressed as mean &#xb1; standard deviation and compared using the independent samples&#xa0;t-test. For non-normally distributed data, variables were reported as&#xa0;median (interquartile range) and analyzed using the Mann-Whitney U test. Categorical data were presented as frequency (percentage) and&#xa0;compared using the Pearson chi-square test or the continuity-corrected chi-square test. The predictive performance of the models was evaluated through receiver operating characteristic (ROC) curves and several classification metrics, including AUC, sensitivity (Sen), specificity (Spe), positive predictive value (PPV), negative predictive value (NPV), accuracy (Acc), and Matthews correlation coefficient (MCC). Decision curve analysis (DCA) was conducted to visualize the net benefit rate versus the threshold for IHC prediction. Feature importance was evaluated using the Shapley&#xa0;Additive Explanations (SHAP) method to assess the contribution of each feature to the model&#x2019;s predictions. DeLong test was performed to statistically compare the models and a <italic>post hoc</italic> power analysis was conducted to assess whether the sample size was sufficient to detect a meaningful difference in model performance. A p-value of less than 0.05 (two-tailed) was considered statistically significant.</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<title>Results</title>
<sec id="s3_1">
<title>Characteristics of the study sample</title>
<p>Based on the selection criteria, 299 women diagnosed with breast cancer were included in this study. The patients were randomly assigned to a training set of 210 individuals and a test set of 89 individuals. No significant differences (p &gt; 0.05) in IHC results were found between the two sets (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>).</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Characteristics of patients in the training and test sets (n = 299).</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">CF/IHC</th>
<th valign="top" align="left">Training set (n = 210)</th>
<th valign="top" align="left">Test set (n = 89)</th>
<th valign="middle" align="left">
<italic>P</italic> value</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Age</td>
<td valign="top" align="left">50.1 &#xb1; 10.2</td>
<td valign="top" align="left">50.7 &#xb1; 12.1</td>
<td valign="top" align="left">0.657</td>
</tr>
<tr>
<th valign="top" align="left">FGT</th>
<th valign="top" align="left"/>
<th valign="top" align="left"/>
<th valign="top" align="left">0.541</th>
</tr>
<tr>
<td valign="top" align="left">&#x2003;a/b</td>
<td valign="top" align="left">176 (84)</td>
<td valign="top" align="left">72 (81)</td>
<td valign="top" align="left"/>
</tr>
<tr>
<td valign="top" align="left">&#x2003;c/d</td>
<td valign="top" align="left">34 (16)</td>
<td valign="top" align="left">17 (19)</td>
<td valign="top" align="left"/>
</tr>
<tr>
<th valign="top" align="left">BPE</th>
<th valign="top" align="left"/>
<th valign="top" align="left"/>
<th valign="top" align="left">0.822</th>
</tr>
<tr>
<td valign="top" align="left">&#x2003;a/b</td>
<td valign="top" align="left">95 (45)</td>
<td valign="top" align="left">39 (44)</td>
<td valign="top" align="left"/>
</tr>
<tr>
<td valign="top" align="left">&#x2003;c/d</td>
<td valign="top" align="left">115 (55)</td>
<td valign="top" align="left">50 (56)</td>
<td valign="top" align="left"/>
</tr>
<tr>
<th valign="top" align="left">High T2 signal</th>
<th valign="top" align="left"/>
<th valign="top" align="left"/>
<th valign="top" align="left">0.867</th>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Positive</td>
<td valign="top" align="left">57 (27)</td>
<td valign="top" align="left">25 (28)</td>
<td valign="top" align="left"/>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Negative</td>
<td valign="top" align="left">153 (73)</td>
<td valign="top" align="left">64 (72)</td>
<td valign="top" align="left"/>
</tr>
<tr>
<td valign="top" align="left">Masses</td>
<td valign="top" align="left">139 (66)</td>
<td valign="top" align="left">56 (63)</td>
<td valign="top" align="left">0.587</td>
</tr>
<tr>
<th valign="top" align="left">Mass shape (%)</th>
<th valign="top" align="left"/>
<th valign="top" align="left"/>
<th valign="top" align="left">0.040</th>
</tr>
<tr>
<td valign="top" align="left">&#x2003;&#x2003;Round/Oval</td>
<td valign="top" align="left">33 (24)</td>
<td valign="top" align="left">6 (11)</td>
<td valign="top" align="left"/>
</tr>
<tr>
<td valign="top" align="left">&#x2003;&#x2003;Irregular</td>
<td valign="top" align="left">106 (76)</td>
<td valign="top" align="left">50 (89)</td>
<td valign="top" align="left"/>
</tr>
<tr>
<th valign="top" align="left">Mass margin (%)</th>
<th valign="top" align="left"/>
<th valign="top" align="left"/>
<th valign="top" align="left">0.240</th>
</tr>
<tr>
<td valign="top" align="left">&#x2003;&#x2003;Spiculated</td>
<td valign="top" align="left">69 (50)</td>
<td valign="top" align="left">33 (59)</td>
<td valign="top" align="left"/>
</tr>
<tr>
<td valign="top" align="left">&#x2003;&#x2003;Non-spiculated</td>
<td valign="top" align="left">70 (50)</td>
<td valign="top" align="left">23 (41)</td>
<td valign="top" align="left"/>
</tr>
<tr>
<th valign="top" align="left">Internal enhancement pattern (%)</th>
<th valign="top" align="left"/>
<th valign="top" align="left"/>
<th valign="top" align="left">0.379</th>
</tr>
<tr>
<td valign="top" align="left">&#x2003;&#x2003;Rim enhancement</td>
<td valign="top" align="left">84 (60)</td>
<td valign="top" align="left">30 (54)</td>
<td valign="top" align="left"/>
</tr>
<tr>
<td valign="top" align="left">&#x2003;&#x2003;No rim enhancement</td>
<td valign="top" align="left">55 (40)</td>
<td valign="top" align="left">26 (46)</td>
<td valign="top" align="left"/>
</tr>
<tr>
<td valign="top" align="left">Non-mass enhancement</td>
<td valign="top" align="left">71 (34)</td>
<td valign="top" align="left">33 (37)</td>
<td valign="top" align="left"/>
</tr>
<tr>
<th valign="top" align="left">Non-mass internal enhancement pattern (%)</th>
<th valign="top" align="left"/>
<th valign="top" align="left"/>
<th valign="top" align="left">0.176</th>
</tr>
<tr>
<td valign="top" align="left">&#x2003;&#x2003;Clustered ring</td>
<td valign="top" align="left">60 (85)</td>
<td valign="top" align="left">31 (94)</td>
<td valign="top" align="left"/>
</tr>
<tr>
<td valign="top" align="left">&#x2003;&#x2003;Homogeneous/Heterogeneous</td>
<td valign="top" align="left">11 (15)</td>
<td valign="top" align="left">2 (6)</td>
<td valign="top" align="left"/>
</tr>
<tr>
<th valign="top" align="left">Architectural distortion</th>
<th valign="top" align="left"/>
<th valign="top" align="left"/>
<th valign="top" align="left">0.037</th>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Positive</td>
<td valign="top" align="left">39 (19)</td>
<td valign="top" align="left">8 (9)</td>
<td valign="top" align="left"/>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Negative</td>
<td valign="top" align="left">171 (81)</td>
<td valign="top" align="left">81 (91)</td>
<td valign="top" align="left"/>
</tr>
<tr>
<th valign="top" align="left">Time-intensity curve</th>
<th valign="top" align="left"/>
<th valign="top" align="left"/>
<th valign="top" align="left">0.867</th>
</tr>
<tr>
<td valign="top" align="left">&#x2003;I</td>
<td valign="top" align="left">57 (27)</td>
<td valign="top" align="left">25 (28)</td>
<td valign="top" align="left"/>
</tr>
<tr>
<td valign="top" align="left">&#x2003;II/III</td>
<td valign="top" align="left">153 (73)</td>
<td valign="top" align="left">64 (72)</td>
<td valign="top" align="left"/>
</tr>
<tr>
<th valign="top" align="left">HER2 status, n (%)</th>
<th valign="top" align="left"/>
<th valign="top" align="left"/>
<th valign="top" align="left">0.845</th>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Positive</td>
<td valign="top" align="left">67 (32)</td>
<td valign="top" align="left">28 (31)</td>
<td valign="top" align="left"/>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Negative</td>
<td valign="top" align="left">143 (68)</td>
<td valign="top" align="left">61 (69)</td>
<td valign="top" align="left"/>
</tr>
<tr>
<th valign="top" align="left">Ki67 index, n (%)</th>
<th valign="top" align="left"/>
<th valign="top" align="left"/>
<th valign="top" align="left">0.080</th>
</tr>
<tr>
<td valign="top" align="left">&#x2003;High</td>
<td valign="top" align="left">101 (48)</td>
<td valign="top" align="left">33 (37)</td>
<td valign="top" align="left"/>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Low</td>
<td valign="top" align="left">109 (52)</td>
<td valign="top" align="left">56 (63)</td>
<td valign="top" align="left"/>
</tr>
<tr>
<th valign="top" align="left">HR status, n (%)</th>
<th valign="top" align="left"/>
<th valign="top" align="left"/>
<th valign="top" align="left">0.174</th>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Positive</td>
<td valign="top" align="left">144 (69)</td>
<td valign="top" align="left">68 (76)</td>
<td valign="top" align="left"/>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Negative</td>
<td valign="top" align="left">66 (31)</td>
<td valign="top" align="left">21 (24)</td>
<td valign="top" align="left"/>
</tr>
<tr>
<th valign="top" align="left">LNM status, n (%)</th>
<th valign="top" align="left"/>
<th valign="top" align="left"/>
<th valign="top" align="left">0.667</th>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Positive</td>
<td valign="top" align="left">117 (56)</td>
<td valign="top" align="left">52 (58)</td>
<td valign="top" align="left"/>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Negative</td>
<td valign="top" align="left">93 (44)</td>
<td valign="top" align="left">37 (42)</td>
<td valign="top" align="left"/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>CF, conventional magnetic resonance imaging features; IHC, immunohistochemistry; FGT, fibroglandular tissue; BPE, background parenchymal enhancement; FGT: a. Almost entirely fat b. Scattered fibroglandular tissue c. Heterogeneous fibroglandular tissue d. Extreme fibroglandular tissue; BPE: a. Minimal b. Mild c. Moderate d. Marked; Time-intensity curve: I. Persistent II. Plateau III. Washout; HR, hormone receptor; HER2, human epidermal growth factor receptor 2; LNM, lymph node metastasis.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3_2">
<title>Habitat clustering</title>
<p>According to the CH index, the best clustering result was achieved when K=4 (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3a</bold>
</xref>), which means that the tumor was split into four regions: Part-1 with low D and mediate <italic>f</italic>, Part-2 with high D, Part-3 with high <italic>f</italic>, and Part-4 with low D and low <italic>f</italic>. (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3b</bold>
</xref>)</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>
<bold>(a)</bold> Change of calinski-harabasz (CH) score with number of clusters (K) values. The CH score reached its peak at K = 4, indicating the optimal number of clusters. <bold>(b)</bold> Voxel distribution in volume of interest in the D and f maps (K = 4). The tumors were subdivided into four subregions: a low D-value region (part 1), a high D-value region (part 2), a high f-value region (part 3), and a region with both low D-value and low f-value (part 4).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fonc-15-1595157-g003.tif">
<alt-text content-type="machine-generated">Graph  (a) shows the  Calinski Harabasz Score  plotted against K, peaking at 4 and  then declining. Graph  (b) is a scatter plot,  with clusters colored blue, orange, green, and  red, representing parts  1 to 4, distributed over  axes  labeled D and  f.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3_3">
<title>Performance of the models and model comparison</title>
<p>We constructed the whole-tumor model, habitat model, CF model and hybrid model for HER2/Ki67/HR/LNM. The performance of all models is outlined in <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>. ROC curves and DCA curves of all models were shown in <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>. Histogram analysis of the predicted case of the habitat model is shown in <xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>.</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Performance of models over the test cohort.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">IHC</th>
<th valign="middle" align="center">Model</th>
<th valign="middle" align="center">AUC (95% CI)</th>
<th valign="middle" align="center">Acc</th>
<th valign="middle" align="center">Sen</th>
<th valign="middle" align="center">Spe</th>
<th valign="middle" align="center">NPV</th>
<th valign="middle" align="center">PPV</th>
<th valign="middle" align="center">MCC</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" rowspan="4" align="center">HER2</td>
<td valign="middle" align="center">Whole-tumor</td>
<td valign="middle" align="center">0.591 (0.458, 0.725)</td>
<td valign="middle" align="center">0.584</td>
<td valign="middle" align="center">0.586</td>
<td valign="middle" align="center">0.583</td>
<td valign="middle" align="center">0.745</td>
<td valign="middle" align="center">0.405</td>
<td valign="middle" align="center">0.159</td>
</tr>
<tr>
<td valign="middle" align="center">Habitat</td>
<td valign="middle" align="center">0.692 (0.581, 0.803)</td>
<td valign="middle" align="center">0.584</td>
<td valign="middle" align="center">0.793</td>
<td valign="middle" align="center">0.483</td>
<td valign="middle" align="center">0.829</td>
<td valign="middle" align="center">0.426</td>
<td valign="middle" align="center">0.265</td>
</tr>
<tr>
<td valign="middle" align="center">CF</td>
<td valign="middle" align="center">0.598 (0.472, 0.724)</td>
<td valign="middle" align="center">0.584</td>
<td valign="middle" align="center">0.517</td>
<td valign="middle" align="center">0.617</td>
<td valign="middle" align="center">0.726</td>
<td valign="middle" align="center">0.395</td>
<td valign="middle" align="center">0.127</td>
</tr>
<tr>
<td valign="middle" align="center">
<bold>Hybrid</bold>
</td>
<td valign="middle" align="center">
<bold>0.706 (0.596, 0.816)</bold>
</td>
<td valign="middle" align="center">
<bold>0.584</bold>
</td>
<td valign="middle" align="center">
<bold>0.828</bold>
</td>
<td valign="middle" align="center">
<bold>0.467</bold>
</td>
<td valign="middle" align="center">
<bold>0.849</bold>
</td>
<td valign="middle" align="center">
<bold>0.429</bold>
</td>
<td valign="middle" align="center">
<bold>0.286</bold>
</td>
</tr>
<tr>
<td valign="middle" rowspan="4" align="center">Ki67</td>
<td valign="middle" align="center">Whole-tumor</td>
<td valign="middle" align="center">0.680 (0.562, 0.798)</td>
<td valign="middle" align="center">0.652</td>
<td valign="middle" align="center">0.697</td>
<td valign="middle" align="center">0.625</td>
<td valign="middle" align="center">0.778</td>
<td valign="middle" align="center">0.523</td>
<td valign="middle" align="center">0.311</td>
</tr>
<tr>
<td valign="middle" align="center">Habitat</td>
<td valign="middle" align="center">0.685 (0.567, 0.803)</td>
<td valign="middle" align="center">0.640</td>
<td valign="middle" align="center">0.451</td>
<td valign="middle" align="center">0.750</td>
<td valign="middle" align="center">0.700</td>
<td valign="middle" align="center">0.517</td>
<td valign="middle" align="center">0.211</td>
</tr>
<tr>
<td valign="middle" align="center">CF</td>
<td valign="middle" align="center">0.746 (0.640, 0.853)</td>
<td valign="middle" align="center">0.700</td>
<td valign="middle" align="center">0.667</td>
<td valign="middle" align="center">0.714</td>
<td valign="middle" align="center">0.784</td>
<td valign="middle" align="center">0.579</td>
<td valign="middle" align="center">0.372</td>
</tr>
<tr>
<td valign="middle" align="center">
<bold>Hybrid</bold>
</td>
<td valign="middle" align="center">
<bold>0.762 (0.658, 0.867)</bold>
</td>
<td valign="middle" align="center">
<bold>0.697</bold>
</td>
<td valign="middle" align="center">
<bold>0.636</bold>
</td>
<td valign="middle" align="center">
<bold>0.732</bold>
</td>
<td valign="middle" align="center">
<bold>0.774</bold>
</td>
<td valign="middle" align="center">
<bold>0.583</bold>
</td>
<td valign="middle" align="center">
<bold>0.363</bold>
</td>
</tr>
<tr>
<td valign="middle" rowspan="4" align="center">HR</td>
<td valign="middle" align="center">Whole-tumor</td>
<td valign="middle" align="center">0.599 (0.467, 0.732)</td>
<td valign="middle" align="center">0.573</td>
<td valign="middle" align="center">0.559</td>
<td valign="middle" align="center">0.619</td>
<td valign="middle" align="center">0.302</td>
<td valign="middle" align="center">0.826</td>
<td valign="middle" align="center">0.151</td>
</tr>
<tr>
<td valign="middle" align="center">Habitat</td>
<td valign="middle" align="center">0.651 (0.531, 0.771)</td>
<td valign="middle" align="center">0.551</td>
<td valign="middle" align="center">0.471</td>
<td valign="middle" align="center">0.810</td>
<td valign="middle" align="center">0.321</td>
<td valign="middle" align="center">0.889</td>
<td valign="middle" align="center">0.242</td>
</tr>
<tr>
<td valign="middle" align="center">CF</td>
<td valign="middle" align="center">0.603 (0.455, 0.751)</td>
<td valign="middle" align="center">0.685</td>
<td valign="middle" align="center">0.838</td>
<td valign="middle" align="center">0.191</td>
<td valign="middle" align="center">0.267</td>
<td valign="middle" align="center">0.770</td>
<td valign="middle" align="center">0.033</td>
</tr>
<tr>
<td valign="middle" align="center">
<bold>Hybrid</bold>
</td>
<td valign="middle" align="center">
<bold>0.668 (0.518, 0.819)</bold>
</td>
<td valign="middle" align="center">
<bold>0.629</bold>
</td>
<td valign="middle" align="center">
<bold>0.618</bold>
</td>
<td valign="middle" align="center">
<bold>0.667</bold>
</td>
<td valign="middle" align="center">
<bold>0.350</bold>
</td>
<td valign="middle" align="center">
<bold>0.857</bold>
</td>
<td valign="middle" align="center">
<bold>0.243</bold>
</td>
</tr>
<tr>
<td valign="middle" rowspan="4" align="center">LNM</td>
<td valign="middle" align="center">Whole-tumor</td>
<td valign="middle" align="center">0.609 (0.487, 0.731)</td>
<td valign="middle" align="center">0.629</td>
<td valign="middle" align="center">0.692</td>
<td valign="middle" align="center">0.541</td>
<td valign="middle" align="center">0.556</td>
<td valign="middle" align="center">0.679</td>
<td valign="middle" align="center">0.234</td>
</tr>
<tr>
<td valign="middle" align="center">Habitat</td>
<td valign="middle" align="center">0.722 (0.615, 0.829)</td>
<td valign="middle" align="center">0.640</td>
<td valign="middle" align="center">0.789</td>
<td valign="middle" align="center">0.432</td>
<td valign="middle" align="center">0.593</td>
<td valign="middle" align="center">0.661</td>
<td valign="middle" align="center">0.237</td>
</tr>
<tr>
<td valign="middle" align="center">CF</td>
<td valign="middle" align="center">0.608 (0.488, 0.728)</td>
<td valign="middle" align="center">0.629</td>
<td valign="middle" align="center">0.692</td>
<td valign="middle" align="center">0.541</td>
<td valign="middle" align="center">0.556</td>
<td valign="middle" align="center">0.679</td>
<td valign="middle" align="center">0.234</td>
</tr>
<tr>
<td valign="middle" align="center">
<bold>Hybrid</bold>
</td>
<td valign="middle" align="center">
<bold>0.728 (0.624, 0.832)</bold>
</td>
<td valign="middle" align="center">
<bold>0.685</bold>
</td>
<td valign="middle" align="center">
<bold>0.615</bold>
</td>
<td valign="middle" align="center">
<bold>0.784</bold>
</td>
<td valign="middle" align="center">
<bold>0.592</bold>
</td>
<td valign="middle" align="center">
<bold>0.800</bold>
</td>
<td valign="middle" align="center">
<bold>0.396</bold>
</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>AUC, area under the curve; CI, confidence interval; Acc, accuracy; Sen, sensitivity; Spe, specificity; NPV, negative predictive value; PPV, positive predictive value; MCC, matthews correlation coefficient.</p>
</fn>
<fn>
<p>*Bold face indicates the models with the highest AUC values for the specific tasks.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Receiver operating characteristic curves and decision curve analysis of the performance of all models on test cohort.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fonc-15-1595157-g004.tif">
<alt-text content-type="machine-generated">Four ROC curves (a-d) for HER2, Ki-67, HR, and  LNM, displayingsensitivity  versus  1-speci&#xfb01;city for different models. AUC values  indicate model performance. Four DCA graphs (e-h)  show  net  bene&#xfb01;t versus  risk threshold for corresponding models, comparing different approaches like Hybrid, Habitats, and  CF. Each graph includes a legend for line identi&#xfb01;cation.</alt-text>
</graphic>
</fig>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Habitat imaging and histogram of correctly predicted cases whose predicted probabilities are closest to their ground truth labels (Note that the best results for HER2-Neg and HR-Pos prediction occur in the same case). <bold>(a)</bold> Habitat imaging of HER2/Ki-67/HR/LNM positive cases. For HER2/Ki-67/HR/LNM, voxels in positive lesions are predominantly in part 2/4/4/4. <bold>(b)</bold> Habitat imaging of HER2/Ki-67/HR/LNM negative cases. For HER2/Ki-67/HR/lymph node metastasis, voxels in negative lesions are predominantly in part 4/1/2/2,3. <bold>(c)</bold> Histogram of D values for both HER2/Ki-67/HR/LNM positive and negative cases. <bold>(d)</bold> Histogram of F values for both HER2/Ki-67/HR/LNM positive and negative cases.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fonc-15-1595157-g005.tif">
<alt-text content-type="machine-generated">MRI images and  bar charts illustrate  features of breast cancer markers HER2, Ki-67, HR, and  LNM. Each row  shows a positive  (Pos) and  negative (Neg) MRI, followed by two  bar charts labeled D and  F, comparing metrics for Pos and  Neg outcomes. The bar colors represent Pos (blue) and  Neg (orange), with segments in parts 1 to 4 colored blue,  orange, yellow, green, and  red.</alt-text>
</graphic>
</fig>
<p>For HER2, the habitats model achieved an AUC of 0.692 (95% CI: 0.581-0.803), higher than those of the whole-tumor model (AUC = 0.591, 95% CI: 0.458-0.725) and the CF model (AUC = 0.598, 95% CI: 0.472-0.724). The hybrid model achieved an AUC of 0.706 (95% CI: 0.596-0.816), but not significantly higher than the habitats model. <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4e</bold>
</xref> shows that the net benefits of hybrid model were higher than other models when the threshold was in the range of 0.2-0.6, but when the threshold value was above 0.6, CF models provides more benefits.</p>
<p>For Ki-67, the CF model achieved an AUC of 0.746 (95% CI: 0.640-0.853), higher than those of the whole-tumor model (AUC = 0.680, 95% CI: 0.562-0.798) and habitats model (AUC = 0.685, 95% CI: 0.567-0.803). The hybrid model achieved the highest AUC of 0.762 (95% CI: 0.658-0.867). <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4f</bold>
</xref> shows that the net benefit of hybrid model was higher than other models when the threshold was in the range of 0.4-0.8.</p>
<p>For HR, the AUC of habitats model (0.651, 95% CI: 0.531-0.771) was higher than the whole-tumor model (AUC = 0.599, 95% CI: 0.467-0.732) and the CF model (AUC = 0.603, 95% CI: 0.455-0.751). The hybrid model achieved an AUC of 0.668 (95% CI: 0.518-0.819), but not significantly higher than the habitats model. <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4g</bold>
</xref> shows that the net benefit of hybrid model was higher than other models when the threshold was in the range of 0.6-1.0.</p>
<p>For LNM, the habitats model achieved an AUC of 0.722 (95% CI: 0.615-0.829), significantly (<italic>p</italic> &lt; 0.05) higher than the whole-tumor model (AUC = 0.609, 95% CI: 0.487-0.731) and CF model (AUC = 0.608, 95% CI: 0.488-0.728). The hybrid model achieved an AUC of 0.728 (95% CI: 0.624-0.832). <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4h</bold>
</xref> shows that the net benefit of habitats model was higher than other models when the threshold was in the range of 0.6-1.0.</p>
<p>The SHAP visualization is shown in <xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref>. The feature details for all models are provided in <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Tables S2</bold>
</xref>-<xref ref-type="supplementary-material" rid="SM1">
<bold>S5</bold>
</xref>, the model performance on the training set is presented in <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Table S6</bold>
</xref>, the DeLong test results for the different models are included in <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Table S7</bold>
</xref>, and the power analysis results are included in <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Table S8</bold>
</xref>.</p>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>The impact of each feature on the hybrid model&#x2019;s predictions in HER2 <bold>(a)</bold>, HR <bold>(b)</bold>, Ki67 <bold>(c)</bold> and LNM <bold>(d)</bold>.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fonc-15-1595157-g006.tif">
<alt-text content-type="machine-generated">SHAP plots  demonstrating model output impact from  various features for four datasets labeled a, b, c, and  d. Each plot shows feature names on the  y- axis and  SHAP values  on the  x-axis, with color  gradients representing feature value intensity from  low (blue) to high (pink).</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<title>Discussion</title>
<p>In this study, we explored the features from the whole tumor, habitats region and clinical characters, and found that the hybrid model combining habitat features and CF performs best in the prediction of these four IHC.</p>
<p>Compared to whole-tumor analysis, more refined habitat VOIs can better reflect tumor heterogeneity. In our study, the tumor was subdivided into four subregions: Part-1 (low D, moderate <italic>f</italic>) likely represents regions of high cellular density with preserved perfusion. Part-2 (high D) suggests regions of reduced cellularity, where elevated water diffusion (high D) aligns with necrotic or edematous zones (<xref ref-type="bibr" rid="B27">27</xref>). Part-3 (high <italic>f</italic>) reflects hyperperfused subregions, indicative of active angiogenesis (<xref ref-type="bibr" rid="B28">28</xref>). These areas may correlate with highly vascularized tumor fronts or inflammatory microenvironments, often associated with rapid growth or immune infiltration. Part-4 (low D, low <italic>f</italic>) denotes densely packed, hypoxic niches with restricted diffusion and poor perfusion. Such habitats are histologically consistent with high-grade tumors, which drive metastasis and chemoresistance (<xref ref-type="bibr" rid="B29">29</xref>). By analyzing these subregions, our study provided a more in-depth understanding of tumor heterogeneity.</p>
<p>Our study revealed several distinct associations between IVIM-derived habitat features and breast cancer molecular subtypes. In the high-D and low-<italic>f</italic> subregion (Part-2), a higher 10th percentile value of D was associated with HER2-positive tumors. This suggests that in HER2-positive tumors, even the most diffusion-restricted voxels within this subregion exhibit relatively higher diffusivity. Such a pattern may reflect a structurally loose and infiltrative growth pattern characteristic of HER2-positive breast cancers, where even the densest parts of low-perfusion regions are less compact. This finding aligns with the known aggressive and spatially invasive behavior of HER2-positive tumors (<xref ref-type="bibr" rid="B30">30</xref>). Furthermore, in the same subregion (Part-2), a higher median value of D was associated with Ki-67 positivity. This may be related to the rapid proliferation of tumors with high Ki67 and the occurrence of necrosis. Such regions may correspond to loosely structured stromal areas or infiltrative tumor margins, where low cellular packing density allows for increased water mobility despite reduced vascularization. This finding may reflect a distinct tumor microenvironment in highly proliferative breast cancers, characterized by rapid cellular turnover in structurally less constrained regions (<xref ref-type="bibr" rid="B31">31</xref>, <xref ref-type="bibr" rid="B32">32</xref>). We also found that the proportion of tumor volume characterized by both D and low f (Part-4) was significantly higher in HR-positive tumors. This may reflect the relatively slow-growing and fibrotic nature of HR-positive tumors, which tend to accumulate more structurally stable, hypoperfused, and diffusion-restricted regions (<xref ref-type="bibr" rid="B33">33</xref>). In contrast, HR-negative tumors, including triple-negative breast cancer (TNBC), are often more heterogeneous and rapidly proliferative, resulting in fragmented or necrotic cores with unstable D/<italic>f</italic> patterns (<xref ref-type="bibr" rid="B34">34</xref>, <xref ref-type="bibr" rid="B35">35</xref>). In the low-D and low-f subregion (Part-4), both D entropy and <italic>f</italic> energy were found to be significantly associated with LNM status. A higher entropy of D reflects increased heterogeneity in water diffusion, potentially indicating a complex microenvironment comprising necrosis, inflammation, fibrosis, and heterogeneous cell density. Such microstructural complexity has been correlated with more aggressive tumor behavior and higher metastatic potential (<xref ref-type="bibr" rid="B36">36</xref>). Similarly, a higher energy of <italic>f</italic> in the same region suggests the presence of repetitive, spatially organized perfusion signals, possibly representing residual microcirculation or neovascular structures within necrotic or fibrotic areas (<xref ref-type="bibr" rid="B37">37</xref>, <xref ref-type="bibr" rid="B38">38</xref>). The elevated energy of perfusion-related features in low-perfusion regions underscores the role of organized microvascular structures in supporting tumor progression and metastasis. In addition, among clinical features, rim enhancement showed a notable association with Ki-67 positivity and HR negativity. Rim enhancement is characterized by peripheral contrast uptake with central hypoenhancement on DCE-MRI, often reflecting a combination of central necrosis and peripheral angiogenesis (<xref ref-type="bibr" rid="B39">39</xref>). This enhancement pattern is more frequently observed in tumors with high Ki-67 expression, as rapid tumor proliferation tends to outpace central vascular supply, leading to necrotic cores surrounded by viable, actively growing tumor rims (<xref ref-type="bibr" rid="B40">40</xref>). Furthermore, rim enhancement is commonly associated with hormone receptor-negative breast cancers, especially TNBC (<xref ref-type="bibr" rid="B41">41</xref>).</p>
<p>It is worth noting that habitat models constructed in this study used only first-order histogram features, which greatly improved the interpretability of the model. Besides, first-order histogram features are influenced only by the intensity values of the voxels, leading to greater stability in the analysis (<xref ref-type="bibr" rid="B42">42</xref>). This inherent stability enhances the robustness and reproducibility of habitat models, making them less susceptible to noise and variations in image acquisition parameters (<xref ref-type="bibr" rid="B43">43</xref>). In contrast, traditional radiomics used a bunch of texture features, which are not only difficult to interpret, but also readily influenced by image preprocessing steps, including image discretization and re-segmentation. Furthermore, the hybrid model, constructed with clinical and habitat features, improved the performance without compromising the interpretability, thus could be more readily accepted by radiologists.</p>
<p>The clinical relevance of IVIM-based habitat imaging lies in its&#xa0;ability to non-invasively map tumor heterogeneity by identifying&#xa0;subregions with distinct biological characteristics. By clustering voxels based on D and <italic>f</italic> parameters, habitat imaging can&#xa0;differentiate areas of high cellularity, necrosis, or active angiogenesis within tumors. This spatial resolution offers a deeper understanding of tumor biology, which is critical for predicting immunohistochemical markers such as HER2, Ki-67, HR, and LNM. These insights could guide clinicians in tailoring treatment strategies, such as prioritizing HER2-targeted therapies for tumors with high-D habitats or intensifying surveillance for patients with low-D/low-<italic>f</italic> subregions suggestive of aggressive behavior. Integrating habitat imaging into clinical workflows could enhance diagnostic accuracy and therapeutic planning. For example, during preoperative MRI evaluations, habitat maps could help surgeons target biopsy sites to regions of high proliferative activity, improving diagnostic yield. In radiation oncology, identifying hypoxic or perfusion-deficient subregions might enable dose escalation to radioresistant zones. Additionally, habitat features could supplement existing BI-RADS criteria to refine risk stratification, potentially reducing unnecessary interventions. The hybrid model, which combines habitat features with conventional MRI characteristics, further improves predictive performance, offering radiologists a tool to automate IHC predictions during routine image interpretation. This could streamline decision-making in settings where rapid biomarker assessment is critical,&#xa0;such as neoadjuvant therapy monitoring. Despite these advantages, several barriers may hinder clinical adoption. Technical&#xa0;standardization remains a challenge, as variations in MRI protocols (e.g., b-value selection, IVIM fitting algorithms) across institutions could compromise reproducibility. The clinical integration of IVIM-based habitat imaging requires a structured, multi-phase approach to ensure feasibility and reliability. First, standardization of MRI acquisition protocols is critical. This involves consensus-driven guidelines for b-value selection, IVIM&#xa0;fitting algorithms, and segmentation methodologies. At the same&#xa0;time, it is important to develop user-friendly software that&#xa0;enables automated habitat clustering and feature extraction. Integrating such tools into existing PACS or AI platforms could&#xa0;help streamline clinical workflows. These tools should emphasize interpretability by offering radiologists intuitive visualizations, such as color-coded habitat maps overlaid on MRI&#xa0;images, along with quantitative summaries like subregion volumes or perfusion metrics to support clinical decision-making. As habitat imaging remains in a developmental phase, the external&#xa0;validity of IVIM-based habitat models continues to be uncertain, thereby impeding their integration into standard clinical workflows.</p>
<p>However, there are also several limitations in our study that need to be acknowledged. The relatively small sample size (n = 299), with only 210 cases used for training, raises concerns regarding potential overfitting. Although internal cross-validation was performed to mitigate this risk, such an approach may not fully reflect the model&#x2019;s generalizability to unseen data. Future studies should incorporate larger, multicenter datasets and external validation cohorts to better evaluate the robustness and clinical applicability of the model across different populations and imaging conditions. Additionally, we did not explore the specifics of IVIM reconstruction parameters. For example, the selection of b-values and the approach used to fit diffusion and perfusion components. While intraclass correlation coefficients (ICCs &gt;0.75) were used to ensure feature robustness, segmentation discrepancies between radiologists, particularly in heterogeneous tumors with ill-defined margins, could affect habitat clustering and feature extraction. Furthermore, large-scale pathological studies, including animal experiments, may be needed to reflect the global spatial consistency of tumors.</p>
<p>In conclusion, compared with traditional radiomics models, the model combining habitats and CF features can achieve better performance and better interpretability. It can potentially help to improve the image-based diagnosis, and help doctors formulate personalized treatment plans for breast cancer patients. Habitat radiomics based on IVIM can help to better understand the biology of tumors, providing more information and support for clinical decision-making. Future research will further improve and validate the models to further improve their applicability and effectiveness in clinical settings.</p>
</sec>
</body>
<back>
<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 author.</p>
</sec>
<sec id="s6" sec-type="ethics-statement">
<title>Ethics statement</title>
<p>The studies involving humans were approved by Fujian Provincial Hospital (approval code: K2021-05-007, May 2019). The studies were conducted in accordance with the local legislation and institutional requirements. The participants provided their written informed consent to participate in this study.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>AW: Writing &#x2013; original draft, Visualization, Validation, Software, Data curation, Methodology. MH: Conceptualization, Investigation, Funding acquisition, Writing &#x2013; review &amp; editing, Supervision. CZ: Software, Writing &#x2013; review &amp; editing. YZ: Data curation, Formal analysis, Writing &#x2013; review &amp; editing. YS: Supervision, Software, Writing &#x2013; review &amp; editing. CW: Supervision, Writing &#x2013; review &amp; editing. MM: Writing &#x2013; review &amp; editing, Supervision. GY: Project administration, Supervision, Writing &#x2013; review &amp; editing.</p>
</sec>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research and/or publication of this article. This work was supported by the Joint Funds for the Innovation of Science and Technology, Fujian province (Grant number: 2023Y9304, to Muzhen He).</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="ai-statement">
<title>Generative AI statement</title>
<p>The author(s) declare that no Generative AI was used in the creation of this manuscript.</p>
</sec>
<sec id="s11" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec id="s12" 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/fonc.2025.1595157/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fonc.2025.1595157/full#supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="Table1.docx" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document"/>
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