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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">OL</journal-id>
<journal-title-group>
<journal-title>Oncology Letters</journal-title>
</journal-title-group>
<issn pub-type="ppub">1792-1074</issn>
<issn pub-type="epub">1792-1082</issn>
<publisher>
<publisher-name>D.A. Spandidos</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3892/ol.2022.13630</article-id>
<article-id pub-id-type="publisher-id">OL-25-02-13630</article-id>
<article-categories>
<subj-group>
<subject>Articles</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>HER2 classification in breast cancer cells: A new explainable machine learning application for immunohistochemistry</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author"><name><surname>Cordova</surname><given-names>Claudio</given-names></name>
<xref rid="af1-ol-25-02-13630" ref-type="aff">1</xref>
<xref rid="af2-ol-25-02-13630" ref-type="aff">2</xref></contrib>
<contrib contrib-type="author"><name><surname>Mu&#x00F1;oz</surname><given-names>Roberto</given-names></name>
<xref rid="af2-ol-25-02-13630" ref-type="aff">2</xref>
<xref rid="af3-ol-25-02-13630" ref-type="aff">3</xref></contrib>
<contrib contrib-type="author"><name><surname>Olivares</surname><given-names>Rodrigo</given-names></name>
<xref rid="af3-ol-25-02-13630" ref-type="aff">3</xref>
<xref rid="af4-ol-25-02-13630" ref-type="aff">4</xref></contrib>
<contrib contrib-type="author"><name><surname>Minonzio</surname><given-names>Jean-Gabriel</given-names></name>
<xref rid="af2-ol-25-02-13630" ref-type="aff">2</xref>
<xref rid="af3-ol-25-02-13630" ref-type="aff">3</xref>
<xref rid="af4-ol-25-02-13630" ref-type="aff">4</xref>
<xref rid="af5-ol-25-02-13630" ref-type="aff">5</xref></contrib>
<contrib contrib-type="author"><name><surname>Lozano</surname><given-names>Carlo</given-names></name>
<xref rid="af6-ol-25-02-13630" ref-type="aff">6</xref></contrib>
<contrib contrib-type="author"><name><surname>Gonzalez</surname><given-names>Paulina</given-names></name>
<xref rid="af6-ol-25-02-13630" ref-type="aff">6</xref>
<xref rid="af7-ol-25-02-13630" ref-type="aff">7</xref></contrib>
<contrib contrib-type="author"><name><surname>Marchant</surname><given-names>Ivanny</given-names></name>
<xref rid="af8-ol-25-02-13630" ref-type="aff">8</xref></contrib>
<contrib contrib-type="author"><name><surname>Gonz&#x00E1;lez-Arriagada</surname><given-names>Wilfredo</given-names></name>
<xref rid="af9-ol-25-02-13630" ref-type="aff">9</xref>
<xref rid="af10-ol-25-02-13630" ref-type="aff">10</xref></contrib>
<contrib contrib-type="author"><name><surname>Olivero</surname><given-names>Pablo</given-names></name>
<xref rid="af1-ol-25-02-13630" ref-type="aff">1</xref>
<xref rid="af2-ol-25-02-13630" ref-type="aff">2</xref>
<xref rid="c1-ol-25-02-13630" ref-type="corresp"/></contrib>
</contrib-group>
<aff id="af1-ol-25-02-13630"><label>1</label>Cell Function and Structure Laboratory (EFC Lab.), Faculty of Medicine, Universidad de Valpara&#x00ED;so, Valpara&#x00ED;so 2341386, Chile</aff>
<aff id="af2-ol-25-02-13630"><label>2</label>PhD Program in Health Sciences and Engineering, Faculty of Engineering, Universidad de Valpara&#x00ED;so, Valpara&#x00ED;so 2362735, Chile</aff>
<aff id="af3-ol-25-02-13630"><label>3</label>School of Informatics Engineering, Faculty of Engineering, Universidad de Valpara&#x00ED;so, Valpara&#x00ED;so 2362735, Chile</aff>
<aff id="af4-ol-25-02-13630"><label>4</label>Center for Research and Development in Health Engineering, Faculty of Engineering, Universidad de Valpara&#x00ED;so, Valpara&#x00ED;so 2362735, Chile</aff>
<aff id="af5-ol-25-02-13630"><label>5</label>Millennium Institute for Intelligent Healthcare: iHEALTH, Faculty of Engineering, Universidad de Valpara&#x00ED;so, Valpara&#x00ED;so 2362735, Chile</aff>
<aff id="af6-ol-25-02-13630"><label>6</label>Pathological Anatomy Service, Carlos Van Buren Hospital, Valpara&#x00ED;so 2340105, Chile</aff>
<aff id="af7-ol-25-02-13630"><label>7</label>School of Medical Technology, Andr&#x00E9;s Bello National University (UNAB), Vi&#x00F1;a del Mar, 2520000, Chile</aff>
<aff id="af8-ol-25-02-13630"><label>8</label>Medical Modeling Laboratory, Faculty of Medicine, Universidad de Valpara&#x00ED;so, Valpara&#x00ED;so 2362735, Chile</aff>
<aff id="af9-ol-25-02-13630"><label>9</label>Faculty of Dentistry, Universidad de los Andes, Santiago 7620086, Chile</aff>
<aff id="af10-ol-25-02-13630"><label>10</label>Biomedical Research and Innovation Center (CIIB), Universidad de los Andes, Santiago 7620086, Chile</aff>
<author-notes>
<corresp id="c1-ol-25-02-13630"><italic>Correspondence to:</italic> Dr Pablo Olivero, Cell Function and Structure Laboratory (EFC Lab.), Faculty of Engineering, Universidad de Valpara&#x00ED;so, 2664 Hontaneda, Valpara&#x00ED;so 2341386, Chile, E-mail: <email>pablo.olivero@uv.cl</email></corresp>
</author-notes>
<pub-date pub-type="collection">
<month>02</month>
<year>2023</year></pub-date>
<pub-date pub-type="epub">
<day>14</day>
<month>12</month>
<year>2022</year></pub-date>
<volume>25</volume>
<issue>2</issue>
<elocation-id>44</elocation-id>
<history>
<date date-type="received"><day>15</day><month>09</month><year>2022</year></date>
<date date-type="accepted"><day>31</day><month>10</month><year>2022</year></date>
</history>
<permissions>
<copyright-statement>Copyright: &#x00A9; Cordova et al.</copyright-statement>
<copyright-year>2022</copyright-year>
<license license-type="open-access">
<license-p>This is an open access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by-nc-nd/4.0/">Creative Commons Attribution-NonCommercial-NoDerivs License</ext-link>, which permits use and distribution in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made.</license-p></license>
</permissions>
<abstract>
<p>The immunohistochemical (IHC) evaluation of epidermal growth factor 2 (HER2) for the diagnosis of breast cancer is still qualitative with a high degree of inter-observer variability, and thus requires the incorporation of complementary techniques such as fluorescent <italic>in situ</italic> hybridization (FISH) to resolve the diagnosis. Implementing automatic algorithms to classify IHC biomarkers is crucial for typifying the tumor and deciding on therapy for each patient with better performance. The present study aims to demonstrate that, using an explainable Machine Learning (ML) model for the classification of HER2 photomicrographs, it is possible to determine criteria to improve the value of IHC analysis. We trained a logistic regression-based supervised ML model with 393 IHC microscopy images from 131 patients, to discriminate between upregulated and normal expression of the HER2 protein. Pathologists&#x0027; diagnoses (IHC only) vs. the final diagnosis complemented with FISH (IHC &#x002B; FISH) were used as training outputs. Basic performance metrics and receiver operating characteristic curve analysis were used together with an explainability algorithm based on Shapley Additive exPlanations (SHAP) values to understand training differences. The model could discriminate amplified IHC from normal expression with better performance when the training output was the IHC &#x002B; FISH final diagnosis (IHC vs. IHC &#x002B; FISH: area under the curve, 0.94 vs. 0.81). This may be explained by the increased analytical impact of the membrane distribution criteria over the global intensity of the signal, according to SHAP value interpretation. The classification model improved its performance when the training input was the final diagnosis, downplaying the weighting of the intensity of the IHC signal, suggesting that to improve pathological diagnosis before FISH consultation, it is necessary to emphasize subcellular patterns of staining.</p>
</abstract>
<kwd-group>
<kwd>breast cancer</kwd>
<kwd>HER2</kwd>
<kwd>IHC</kwd>
<kwd>ML</kwd>
<kwd>SHAP</kwd>
</kwd-group>
<funding-group>
<award-group>
<funding-source>FONDECYT, Chile</funding-source>
<award-id>1201311</award-id>
</award-group>
<award-group>
<funding-source>&#x201C;Agencia Nacional de Investigaci&#x00F3;n y Desarrollo ANID&#x201D;, Chile</funding-source>
<award-id>21220332</award-id>
</award-group>
<award-group>
<funding-source>Health Sciences and Engineering, Universidad de Valpara&#x00ED;so, Chile, and Andr&#x00E9;s Bello National University (Vi&#x00F1;a del Mar, Chile)</funding-source>
</award-group>
<award-group>
<funding-source>Los Andes University (Santiago, Chile) and the Carlos Van Buren Hospital (Valparaiso, Chile)</funding-source>
</award-group>
<funding-statement>This study was funded by Regular FONDECYT, Chile (grant no. 1201311), a national doctoral scholarship from the &#x201C;Agencia Nacional de Investigaci&#x00F3;n y Desarrollo ANID&#x201D;, Chile (grant no. 21220332), a PhD Program in Health Sciences and Engineering, Universidad de Valpara&#x00ED;so, Chile, and Andr&#x00E9;s Bello National University (Vi&#x00F1;a del Mar, Chile), Los Andes University (Santiago, Chile) and the Carlos Van Buren Hospital (Valparaiso, Chile) basic operational funds.</funding-statement>
</funding-group>
</article-meta>
</front>
<body>
<sec sec-type="intro">
<title>Introduction</title>
<p>Breast cancer is the most common malignancy in women worldwide and despite advances in research and therapy, it remains a highly lethal malignant disease that constitutes a heavy burden to public health in &#x003E;154 countries, with an &#x007E;600,000 per year (<xref rid="b1-ol-25-02-13630" ref-type="bibr">1</xref>,<xref rid="b2-ol-25-02-13630" ref-type="bibr">2</xref>). In Chile, it has been the leading cause of cancer-associated death since 2009 with 11.8&#x0025; of deaths from cancer in women per year and a high level of mortality in elder patients. The average number of patients diagnosed with this pathology has improved considerably in recent years; several symptoms are prevalent, especially in the population with inadequate access to national health systems (<xref rid="b3-ol-25-02-13630" ref-type="bibr">3</xref>,<xref rid="b4-ol-25-02-13630" ref-type="bibr">4</xref>). The recommended treatment according to the molecular subtypes agreed upon in the St. Gallen consensus has shown favorable effects on patient survival (<xref rid="b5-ol-25-02-13630" ref-type="bibr">5</xref>,<xref rid="b6-ol-25-02-13630" ref-type="bibr">6</xref>). According to the St. Gallen protocol, the histopathological aspects of the mammary tumor are defined in a standardized manner, and recommendations for adjuvant therapies are decided based on observation of tumor biopsies under the microscope (<xref rid="b5-ol-25-02-13630" ref-type="bibr">5</xref>). In this context, the diagnosis of tumors using a minimal panel of molecular techniques, where immunodetection of hormonal receptors [estrogen receptor (ER) and progesterone receptor (PR)], Ki67 antigen, and epidermal growth factor receptor 2 (HER2), is central to pathological analyses due to their fundamental role in appropriately establishing the therapeutic strategy and prognosis for each patient, and for ultimately reducing breast cancer-associated deaths (<xref rid="b5-ol-25-02-13630" ref-type="bibr">5</xref>,<xref rid="b7-ol-25-02-13630" ref-type="bibr">7</xref>,<xref rid="b8-ol-25-02-13630" ref-type="bibr">8</xref>).</p>
<p>Specifically, HER2 protein is overexpressed in 10&#x2013;25&#x0025; of invasive breast cancer cases (<xref rid="b2-ol-25-02-13630" ref-type="bibr">2</xref>,<xref rid="b7-ol-25-02-13630" ref-type="bibr">7</xref>). Detection of HER2 in tumor cells through histological analysis is an important measure of prognostic and predictive outcomes in invasive tumors (<xref rid="b2-ol-25-02-13630" ref-type="bibr">2</xref>,<xref rid="b9-ol-25-02-13630" ref-type="bibr">9</xref>,<xref rid="b10-ol-25-02-13630" ref-type="bibr">10</xref>). The detection of HER2 by microscopy is more challenging than for the other antigens due to the complex pattern of HER2 expression within cells, which often requires the use of complementary techniques such as fluorescent <italic>in situ</italic> hybridization (FISH) to detect the gene encoding ERBB2 (<xref rid="b8-ol-25-02-13630" ref-type="bibr">8</xref>,<xref rid="b11-ol-25-02-13630" ref-type="bibr">11</xref>,<xref rid="b12-ol-25-02-13630" ref-type="bibr">12</xref>). The American Society for Clinical Oncology (ASCO) has proposed a specific qualitative algorithm for HER2 using immunohistochemistry (IHC), based on the intensity of the signal, the completeness of the pattern of expression in the cell membrane, and the approximate minimum percentage of expression (<xref rid="b8-ol-25-02-13630" ref-type="bibr">8</xref>). Following this approach, invasive tumor samples can be categorized as HER2 0, 1&#x002B;, 2&#x002B;, or 3&#x002B;, where the last category corresponds to upregulated expression protein and represents cases that should be treated with anti-HER2 therapy (<xref rid="b12-ol-25-02-13630" ref-type="bibr">12</xref>,<xref rid="b13-ol-25-02-13630" ref-type="bibr">13</xref>). Being able to adequately differentiate the HER2-IHC 2&#x002B; category (equivocal) from a false positive, or 3&#x002B;, by traditional microscopy is crucial from several points of view, including appropriate referral to the oncology service and subsequent suitable adjuvant treatment with trastuzumab in this pathology and in gastric cancer (<xref rid="b14-ol-25-02-13630" ref-type="bibr">14</xref>&#x2013;<xref rid="b16-ol-25-02-13630" ref-type="bibr">16</xref>). However, due to the analytical complexity of this biomarker, the HER2 category represents an important obstacle when it comes to determining the histopathological diagnosis under the St. Gallen protocol, with unfavorable consequences on the diagnostic procedure, treatment strategy, and public health (<xref rid="b17-ol-25-02-13630" ref-type="bibr">17</xref>).</p>
<p>Analyzing the intensity and distribution of the IHC signal <italic>in situ</italic> provides important information for the diagnosis and prognosis of cancer. Visual scoring of markers is currently employed, using light microscopy with medium magnification capacity (&#x00D7;20 or &#x00D7;40 objective lenses) (<xref rid="b15-ol-25-02-13630" ref-type="bibr">15</xref>,<xref rid="b18-ol-25-02-13630" ref-type="bibr">18</xref>). The tumor can be scored as 0/1&#x002B; (negative), 2&#x002B; (equivocal), or 3&#x002B; (positive) according to official guidelines such as those proposed by ASCO (<xref rid="b8-ol-25-02-13630" ref-type="bibr">8</xref>,<xref rid="b12-ol-25-02-13630" ref-type="bibr">12</xref>); however, the microscopic observation of the IHC performed by the pathologist is highly time-consuming and suffers from high inter- and intra-observer variability, with the results being conditioned by subjective factors (<xref rid="b19-ol-25-02-13630" ref-type="bibr">19</xref>,<xref rid="b20-ol-25-02-13630" ref-type="bibr">20</xref>). In contrast, analysis performed by computational tools shortens the time required and decreases inter-operator variation in the evaluation of staining levels (<xref rid="b20-ol-25-02-13630" ref-type="bibr">20</xref>,<xref rid="b21-ol-25-02-13630" ref-type="bibr">21</xref>). Used for the first time for immunostaining in 1980, computerized image analysis has since been applied in several studies, in combination with innovations in laboratory techniques for protein and gene detection; some examples include AQUA Technology (<xref rid="b22-ol-25-02-13630" ref-type="bibr">22</xref>), HERmark (<xref rid="b23-ol-25-02-13630" ref-type="bibr">23</xref>), Mammaprint (<xref rid="b24-ol-25-02-13630" ref-type="bibr">24</xref>), Oncotype Dx (<xref rid="b25-ol-25-02-13630" ref-type="bibr">25</xref>), and PAM50 Breast Cancer Intrinsic Classifier (<xref rid="b26-ol-25-02-13630" ref-type="bibr">26</xref>). Unfortunately, most assays that provide quantitative data work with reference centers and laboratories that do not fit the needs and capabilities of public health systems in Latin America (<xref rid="b27-ol-25-02-13630" ref-type="bibr">27</xref>). This strengthens the importance of developing low-cost technologies for high-precision analysis and generating digital references of existing material. In addition to this problem, the existing computerized analysis techniques of immunohistochemical signals only integrate 1&#x2013;2 image parameters to qualify the diagnosis through defined thresholds based on controls (<xref rid="b15-ol-25-02-13630" ref-type="bibr">15</xref>,<xref rid="b21-ol-25-02-13630" ref-type="bibr">21</xref>,<xref rid="b23-ol-25-02-13630" ref-type="bibr">23</xref>). Due to these limitations, innovative techniques are needed to integrate a large number of quantitative parameters to build a mathematical classification model that could be optimized by data training itself (<xref rid="b28-ol-25-02-13630" ref-type="bibr">28</xref>,<xref rid="b29-ol-25-02-13630" ref-type="bibr">29</xref>).</p>
<p>Machine learning (ML) and observation with computational tools have been used in a wide variety of clinical tasks ranging from the segmentation of medical images to generation, classification, and clinical prediction (<xref rid="b30-ol-25-02-13630" ref-type="bibr">30</xref>&#x2013;<xref rid="b33-ol-25-02-13630" ref-type="bibr">33</xref>). Different research centers and biotechnology corporations have been exploring the use of artificial intelligence (AI) and ML in key clinical areas (<xref rid="b30-ol-25-02-13630" ref-type="bibr">30</xref>,<xref rid="b34-ol-25-02-13630" ref-type="bibr">34</xref>&#x2013;<xref rid="b36-ol-25-02-13630" ref-type="bibr">36</xref>). Specifically, ML classified as Supervised Learning allows for the resolution of classification problems where the machine must learn to be able to predict discrete values. This means that the machine can predict the most likely category, class, or label for new examples, or solve regression problems to predict the value of a continuous variable (<xref rid="b28-ol-25-02-13630" ref-type="bibr">28</xref>,<xref rid="b37-ol-25-02-13630" ref-type="bibr">37</xref>). In certain problems, the response variable is not normally distributed, for example, a coin toss can only have two outcomes: Positive or negative. In these cases, the use of logistic regression as a classification model is relatively popular and has been used regularly in both industry and medicine (<xref rid="b38-ol-25-02-13630" ref-type="bibr">38</xref>). The performance of this response is shaped thanks to a mathematical optimization procedure; the use of the cost function in conjunction with the downward gradient that derives from the maximum likelihood makes it possible to find weight coefficients for each input parameter that maximize the performance of the classifier (<xref rid="b39-ol-25-02-13630" ref-type="bibr">39</xref>).</p>
<p>Despite the promising properties described for the ML classification, the constant increase in the complexity of learning algorithms has led to the frequent appearance of &#x2018;black box&#x2019; models, where the interpretation of their internal functioning is very difficult with traditional analytical methods (<xref rid="b40-ol-25-02-13630" ref-type="bibr">40</xref>). These models are increasingly used in decision-making in important contexts, such as in clinical development, implying that the demand for transparency is essential when decisions based on AI are unjustifiable in real life (<xref rid="b41-ol-25-02-13630" ref-type="bibr">41</xref>,<xref rid="b42-ol-25-02-13630" ref-type="bibr">42</xref>). In this context, the concept of explainability makes it possible to detect and correct the training bias, provides robustness by detecting disturbances in the prediction, and establishes arguments that allow us to understand changes in the performance of the classification tasks. Different systems that are coupled to ML models allow opening the black box, such as decision trees, visualization of inputs and outputs through graphs, and Shapley Additive exPlanation (SHAP) values, where the latter stands out primarily for being applicable to any classification model, with easily understandable graphic interpretation and allowance of both explanation and advice (<xref rid="b41-ol-25-02-13630" ref-type="bibr">41</xref>,<xref rid="b43-ol-25-02-13630" ref-type="bibr">43</xref>).</p>
<p>The primary question of this study is whether it is possible to obtain a classification as good as pathologists&#x0027; using ML and photomicrographs features. Additionally, we attempt to understand how the classifier is modified when including information provided by FISH.</p>
</sec>
<sec sec-type="materials|methods">
<title>Material and methods</title>
<sec>
<title/>
<sec>
<title>Type of study</title>
<p>The present study was a retrospective diagnostic assessment performed to analyze images of anonymized microscopic slides of paraffin-embedded tissues with a histological diagnosis of breast cancer.</p>
</sec>
<sec>
<title>Collection of images</title>
<p>Histological slides of IHC-stained breast cancer tissues from 2019 were randomly collected for the lab technician team of Carlos Van Buren Hospital Pathology Service (Valpara&#x00ED;so, Chile) with prior authorization from the Chief pathologist. Only those classed as HER2-positive and a corresponding pathologist&#x0027;s diagnosis reported by IHC and IHC &#x002B; FISH were included. Data from 141 samples were tabulated from the local database, and anonymized using the internal code of each sample together with its IHC-HER2 diagnosis as 0, 1, 2, or 3 and its FISH diagnosis as 0 or 1. These two classifications were considered for the ML classification to be compared. The histological slides were imaged using a Leica microscope (DM750) with a CCD ICC50-W digital camera integrated into the Las EZ software (Leica Microsystems). Three images were obtained at an &#x00D7;400 magnification with 3 different areas imaged for each tumor sample, with staining in at least 10&#x0025; of the tumor area. We used automatic parameters for light exposure, hue, saturation, and &#x03B3;, calibrated by the factory with <italic>in vitro</italic> diagnostics standard (<uri xlink:href="https://www.leica-microsystems.com/products/light-microscopes/p/leica-dm2000/">https://www.leica-microsystems.com/products/light-microscopes/p/leica-dm2000/</uri>). The pathologist provided coded and tabulated data in a password-protected file. The use of digital image samples and anonymized data was approved by the Carlos van Buren Hospital directive (Valparaiso, Chile) and by the V Region, Valpara&#x00ED;so-San Antonio, Scientific Ethics Committee SSVSA (approval no.: 1765-07.10.2021).</p>
</sec>
<sec>
<title>Automated image quantification</title>
<p>Using ImageJ 1.53 (National Institutes of Health), automatic batch analysis was performed to extract four features per image, and these were used to differentiate the expression levels of HER2 according to the ASCO algorithm with the following protocol (<xref rid="f1-ol-25-02-13630" ref-type="fig">Fig. 1</xref>): i) Resize images to 1,000&#x00D7;750 pixels with bilinear interpolation; ii) separate colors based on an 8-bit channel red/green/blue (RGB) color set; iii) determine the region of interest associated with cell membranes, based on a pixel-by-pixel analysis of RGB information: The retained pixels are denoted as &#x2018;signal&#x2019;; iv) Obtain the average intensity value of the total signal (feature 1: 8 bit mean gray value, named as MGV); v) convert the 8-bit signal into binary; vi) invert the binary code to transform the fully enclosed empty spaces delimited by the surrounding signal into black particles of a similar size to cells; vii) determine the individual particles meeting two criteria: Area ranging from 250-2,500 pixles<sup>2</sup> with a circularity between 0.3&#x2013;1.0 (feature 2: Circ count, or cells that meet the criterion of fully stained membrane, named as COUNT), quantification of the total percentage area (feature 3: &#x0025; Area circ, named as &#x0025;AREA) and average area of the previous counts (feature 4: Mean size, named as M.SIZE). The data (4 features) obtained from 423 photographs (131 patient samples and 10 controls) were tabulated in Excel 365 (Microsoft Corporation). The data corresponding to the patient cohort was subsequently imported into the classifier&#x0027;s input data. The controls (30 samples) corresponded to reference cases (both healthy and non-healthy) and were used to illustrate controlled cases.</p>
</sec>
<sec>
<title>Training and testing of logistic regression classifiers</title>
<p>ANACONDA open-source toolkit (<uri xlink:href="https://www.anaconda.com">https://www.anaconda.com</uri>) was used to train, implement, and test a logistic amplified (&#x002B;3) vs. non-amplified (0, &#x002B;1, or &#x002B;2) signal classifier, and the Spyder 4 IDE (<uri xlink:href="https://www.spyder-ide.org/">https://www.spyder-ide.org/</uri>) to program the instruction set in Python 3.7, using Scikit-learn packages for machine learning (<uri xlink:href="https://scikit-learn.org/stable/index.html">https://scikit-learn.org/stable/index.html</uri>). The previously stored data was first divided into: i) Set of input data, corresponding to the 4 features in each image, to represent the variables of the X axis of the 4-dimensional distribution; ii) output data set 1 (first Y variable), corresponding to the IHC diagnoses of each image, where the scores were grouped according to whether it is an amplified signal or not, such that 0, 1&#x002B;, and 2&#x002B; were merged into a unique output 0 (HER2 normal expression) and 3&#x002B; corresponded to output 1 (HER2 overexpression); and iii) output data set 2 (second Y variable), corresponding to the IHC diagnoses corrected by FISH. This converted all the IHC diagnoses that had negative FISH (0) to 0 if they were declared as 1 and <italic>vice versa</italic>.</p>
<p>Subsequently, the previous data sets were divided into training_set and test_set with a ratio of 0.65:0.35 respectively using the Scikit tool &#x2018;train_test_split&#x2019;. Next, we implemented a logistic regression model with the default parameters and the model coefficients were automatically adjusted to the training_set. Finally, we used the adjusted model to predict the diagnoses in the test_set and compared them with the original diagnoses to obtain the prediction probabilities and build a confusion matrix, calculate the efficiency parameters of the model, and perform receiver operating characteristic (ROC) curve analysis between the IHC diagnoses and IHC &#x002B; FISH corrected data.</p>
<p>The whole procedure was tested 20 times to obtain the best performance model.</p>
</sec>
<sec>
<title>Model performance explainability using SHapley Additive exPlanations (SHAP) values analysis</title>
<p>To obtain an overview of the most important features for the model output, and how their analytic priority order affected the HER2 diagnostic performance, we plotted the SHAP values of each feature for every sample and mean absolute SHAP values for all features, using SHAP libraries for python (<uri xlink:href="https://shap.readthedocs.io/en/latest/index.html">https://shap.readthedocs.io/en/latest/index.html</uri>) coupled with the classifier code. SHAP values can further show positive and negative relationships of the predictor, and by plotting all dots in the training data with a blue-to-red color gradient, the following information can be obtained: i) Single value impact: The horizontal location shows whether the effect of that value is associated with higher or lower predictive performance; ii) original value: Color shows whether that variable is high (in red) or low (in blue) for that observation; <italic>iii</italic>) Mean feature importance: Using mean absolute values, data can be summarized in a simplified bar plot to show the overall impact of each feature on model output. Variables were ranked in descending order.</p>
</sec>
<sec>
<title>Classifier performance evaluation</title>
<p>To assess the performance of the model, a confusion matrix was constructed with the ML-predicted diagnoses vs. the actual diagnoses to define true positives and negatives (TP/TN) and false positives and negatives (FP/FN). With this, matrix, precision, recall, specificity, accuracy, and FPR were calculated to perform ROC analysis to determine, using the area under the curve (AUC), the set of diagnoses that allowed building a better predictor (<xref rid="b44-ol-25-02-13630" ref-type="bibr">44</xref>). ROC analysis was performed using binary prediction probabilities of positive class over test_dataset to calculate false rates (FPR) and true positive rates (TPR) with Sklearn metrics libraries. Next, the FPR and TPR were plotted to calculate the AUC score, and the 95&#x0025; confidence intervals were determined by bootstrapped scores (n_bootstraps=1,000, random state=42).</p>
</sec>
<sec>
<title>Statistical analysis</title>
<p>Bar graph results are presented as the mean &#x00B1; standard deviation from at least three independent evaluations for each experimental condition. Data were analyzed with Origin Pro 9.0 (OriginLab Corporation Northampton). Differences between multiple groups were compared using a Fisher&#x0027;s least significant difference test and ANOVA followed by a Bonferroni posthoc test in Statgraphics Plus version 5.0 (GraphPad Software, Inc.). P&#x003C;0.05 was considered to indicate a statistically significant difference.</p>
</sec>
</sec>
</sec>
<sec sec-type="results">
<title>Results</title>
<sec>
<title/>
<sec>
<title>Automated image analysis</title>
<p>The first approach was to test if the distribution values of the four features, MGV, COUNT, &#x0025;AREA and M.SIZE, were statically different between the control samples, as references in the laboratory.</p>
<p>Through the previously described procedure, it was possible to differentiate the samples according to their immunohistochemical expression levels through the average intensity of the signal and the parameters derived from the particle count in the binary results. The negative control samples (corresponding to known diagnoses 0/1&#x002B;) presented a low overall signal intensity with an average of 65 (&#x00B1;2) 8 bit-grayscale, and a particle count under the positivity criterion of 21 (&#x00B1;9) by visual field (<xref rid="f2-ol-25-02-13630" ref-type="fig">Fig. 2A</xref>). Conversely, in the positive control samples (corresponding to known diagnoses 3&#x002B;) the global intensity and the particle count under the criterion were significantly higher (<xref rid="f2-ol-25-02-13630" ref-type="fig">Fig. 2A</xref>), with values of 155 (&#x00B1;3) and 101 (&#x00B1;20), respectively (<xref rid="f2-ol-25-02-13630" ref-type="fig">Fig. 2B</xref>). With this procedure, the MGV, COUNT, &#x0025;AREA determined by this count, and the M.SIZE were obtained for the cohort samples, resulting in a data matrix for the training with dimensions: (3,934).</p>
</sec>
<sec>
<title>Classifier performance evaluation</title>
<p>The logistic model was trained with the training data set, and the classifier performance was evaluated with the data intended for testing (n=99). In this manner, a confusion matrix for training based on the diagnoses reported with HER2 IHC, and another matrix for the trained classifier based on confirmed diagnoses after FISH (IHC &#x002B; FISH) were obtained to calculate the performance indicators. The best accuracy, precision, and recall calculated for the IHC model were 0.88, 0.89, and 0.43 respectively, while for the IHC &#x002B; FISH classifier they were 0.93, 1.00, and 0.55, respectively (<xref rid="f3-ol-25-02-13630" ref-type="fig">Fig. 3A</xref>). Subsequently, to illustrate the sensitivity vs. specificity using the compared ROC curves, we calculated the TPR and FPR. The resulting AUC value for the IHC classifier was 0.81 (0.71&#x2013;0.89), and for the IHC &#x002B; FISH model, it was 0.94 (0.92&#x2013;0.98). Confidence intervals are based on 20 samples (<xref rid="f3-ol-25-02-13630" ref-type="fig">Fig. 3B</xref>).</p>
</sec>
<sec>
<title>Model explanation by SHAP values</title>
<p>Differences in classifier performance trained based on the IHC diagnosis provided by the pathologist vs. the training based on IHC &#x002B; FISH can be explained primarily by changes in the order of the analytical priority of the features. As the graphs in <xref rid="f4-ol-25-02-13630" ref-type="fig">Fig. 4A</xref> show, the MGV primarily influenced the negative output of the logistic classifier (appearance of 0), while in the case of the COUNT value, at higher values the impact was positive (appearance of 1) and <italic>vice versa</italic>. Meanwhile, M.SIZE and &#x0025;AREA values showed a more diffuse impact pattern on the binary output; however, it was possible to observe how the distribution of the points became more evident towards the binary output with IHC &#x002B; FISH training. The summary of this effect is shown in <xref rid="f4-ol-25-02-13630" ref-type="fig">Fig. 4B</xref>, where it can be seen that MGV and COUNT had a greater absolute average impact than the other two variables; however, the first parameter loses priority below the count of cells that meet the membrane completeness criteria when the training is based on IHC &#x002B; FISH.</p>
</sec>
</sec>
</sec>
<sec sec-type="discussion">
<title>Discussion</title>
<p>The complex expression pattern of HER2 within cells presents a challenge for pathologists and the high inter-observer variability highlights the necessity of tools that allow for improved predictive results to better tailor treatment strategies. Deep learning automatic-assisted diagnosis is the most suitable and potentially accurate solution. Automatic quantification of images allows for the factorization of two key points highlighted in the HER2 classification algorithm recommended by ASCO. First, the visual field signal intensity in the low, medium, and high categories, a continuous variable of 256 dimensions (8-bit depth), is internationally used in other immune detection techniques in brightfield and fluorescence formats (<xref rid="b45-ol-25-02-13630" ref-type="bibr">45</xref>,<xref rid="b46-ol-25-02-13630" ref-type="bibr">46</xref>). The second parameter corresponds to the completeness of the staining around the cell membrane, whose quantitative estimation still represents a significant challenge for the pathologist. In the present study, the signal was transformed into an inverted binary, where the surrounding blanks by the nuclear signal were converted into particles with a size ranging between 250 and 2,500 pixels2 and medium circularity when working with images with a standardized resolution of 1,000 pixels in width (<xref rid="b47-ol-25-02-13630" ref-type="bibr">47</xref>). This strategy allows for the generation of statistically significant differences when comparing amplified vs. normal HER2 expression samples (set of positive vs. negative controls), based on a reduced analytical complexity in comparison with current analytical methods of membrane signals from other research groups that use a skeletonization technique or cell segmentation through the specialized filters (<xref rid="b48-ol-25-02-13630" ref-type="bibr">48</xref>,<xref rid="b49-ol-25-02-13630" ref-type="bibr">49</xref>). Moreover, our automated process also used a low complexity method to extract the IHC signal by decomposing the colors into RGB data matrices pixel by pixel, where the combinatorial intensity in red, green, and blue allowed the pixels to be separated. A promising approach to refine the signal could be to use the technique proposed by Fu <italic>et al</italic> (<xref rid="b18-ol-25-02-13630" ref-type="bibr">18</xref>), with a filter detection complex for brown color generated by the DAB chromogen typically used in immunohistochemistry.</p>
<p>With the parameters obtained, it was possible to train a logistic regression ML model for classification and explainability, and we were able to show significant changes in the classification performance when the training was performed based on the diagnosis supplemented with FISH results: When evaluating the basic performance parameters, the classifier showed high precision and accuracy in the two trained models (IHC: 0.84 and 0.72 vs. IHC &#x002B; FISH: 0.97 and 0.89, respectively), highlighting that both values increased when the FISH criterion was added. This obtained data increases the performance and seems to be primarily explained by reducing the output impact of the parameter associated with the global intensity of IHC MGV and increasing the weight of the subcellular location of the protein, in this case towards the plasma membrane through the positive cells, the criterion of completeness (COUNT). In this regard, although IHC takes advantage of the high affinity of the antigen-antibody reaction that allows identifying the expression of biomarkers or proteins, its results, known as immunoexpression, immunostaining, and/or chromogenic signal intensity, are influenced by multiple factors from the pre-analytical to the post-analytical phase, and depending on the performance of these stages, several results can be obtained even using the same antibody, affecting clinical interpretation (<xref rid="b50-ol-25-02-13630" ref-type="bibr">50</xref>,<xref rid="b51-ol-25-02-13630" ref-type="bibr">51</xref>). If each stage of the preanalytical phase of histopathology is analyzed in detail, the first step of taking a sample for biopsy and fixing the tissue in formaldehyde solution is one of the most important steps, as the result of the IHC is highly dependent on the time required to fix a sample after extraction: The cold ischemic time must be as low as possible, since a prolonged cold ischemic time leads to tissue acidosis, enzymatic degradation, and altered immunoreactivity, resulting in artifactual lower antigenic expression (<xref rid="b50-ol-25-02-13630" ref-type="bibr">50</xref>,<xref rid="b51-ol-25-02-13630" ref-type="bibr">51</xref>). Conversely, over-fixing may occur if fixing times exceed 72 h in small samples such as core breast biopsies. This increases variability and can generate false negatives/positives at the time of interpretation when qualitatively assessing the staining intensity (<xref rid="b50-ol-25-02-13630" ref-type="bibr">50</xref>). Finally, another preanalytical factor is the histological paraffin section technique. In IHC, the optimal section thickness is 3 &#x00B5;m, when these sections are thicker (&#x003E;5 &#x00B5;m), they can generate an overgrowth of the staining intensity during the IHC-reveal stage, due to overlapping of the cell layers, which saturates the reaction and may produce an more intense signal, inappropriately augmenting intensity instead of the completeness of the cell membrane, which can generate a false diagnosis of &#x002B;3 HER2, translating into a completely different treatment and prognosis (<xref rid="b52-ol-25-02-13630" ref-type="bibr">52</xref>&#x2013;<xref rid="b54-ol-25-02-13630" ref-type="bibr">54</xref>).</p>
<p>Based on the performance improvements obtained by including the FISH results as an extra dimension in the reference diagnosis, it is hypothesized that the addition of more features to the ML algorithm training, that include the construction of a training supervision matrix based on unsupervised learning will improve predictive ability. This complementary information may include the basic histological subtype of the tumor, the expression pattern in lymph node metastases, the response to treatment, and patient survival, to better study the predictive variables of each tumor (<xref rid="b2-ol-25-02-13630" ref-type="bibr">2</xref>,<xref rid="b55-ol-25-02-13630" ref-type="bibr">55</xref>&#x2013;<xref rid="b57-ol-25-02-13630" ref-type="bibr">57</xref>). With this increase in the dimension of the known output variables, the performance of the test may potentially improve, specifically in the recall values, which were low in this study (IHC: 0.43 and IHC &#x002B; FISH: 0.55), this may assist in determining the proportion of actual positives that were correctly identified (<xref rid="b58-ol-25-02-13630" ref-type="bibr">58</xref>). Low false positive detection is very attractive in practice regarding the implications of a diagnosis of breast cancer and referring the patient to the oncology service, with tremendous burden in terms of complexity of health services, costs, and impact to the patient in vain (<xref rid="b2-ol-25-02-13630" ref-type="bibr">2</xref>,<xref rid="b59-ol-25-02-13630" ref-type="bibr">59</xref>). In addition, the general performance of the test through the ROC analysis, showed that this HER2 classifier had AUC values of 0.81 and 0.94 for training with the IHC and IHC &#x002B; FISH sets respectively, a very positive scenario since values between 0.8&#x2013;0.9 are considered very good for complex and high-throughput detection, such as in blood biochemical profiling (<xref rid="b60-ol-25-02-13630" ref-type="bibr">60</xref>,<xref rid="b61-ol-25-02-13630" ref-type="bibr">61</xref>).</p>
<p>Finally, the classification model presented here can potentially be trained with a larger number of samples to generate a robust digital pathological reference, through a free access interoperability platform for public health services, just as pathology laboratories do in developed countries, applying data management systems currently available on the market, but at a high cost (<xref rid="b62-ol-25-02-13630" ref-type="bibr">62</xref>&#x2013;<xref rid="b64-ol-25-02-13630" ref-type="bibr">64</xref>). Furthermore, the methods and technology proposed here have been developed motivated by previous research in this field, to test the performance of different classification algorithms for breast cancer, through the unitary evaluation of multiple molecular markers in existing protocols such as Ki67, ER, and PR (<xref rid="b6-ol-25-02-13630" ref-type="bibr">6</xref>,<xref rid="b65-ol-25-02-13630" ref-type="bibr">65</xref>,<xref rid="b66-ol-25-02-13630" ref-type="bibr">66</xref>), or in proposals under development for molecular classification including new markers such as PDL1, Claudin, MCL-1, and TRPV1 (<xref rid="b67-ol-25-02-13630" ref-type="bibr">67</xref>&#x2013;<xref rid="b70-ol-25-02-13630" ref-type="bibr">70</xref>). The ability of ML classifiers to decrease the inter-observer variability improves the accuracy of breast cancer diagnoses, which may have important implications since treatment is based on the subtype of tumor diagnosed (<xref rid="b5-ol-25-02-13630" ref-type="bibr">5</xref>,<xref rid="b54-ol-25-02-13630" ref-type="bibr">54</xref>,<xref rid="b71-ol-25-02-13630" ref-type="bibr">71</xref>). This approach has the potential to reduce breast cancer mortality with a significant impact on health systems and affected populations. Our approach however has some limitations. The model presented here is only limited to diagnosis and does not provide analytical evidence to improve tumor prognosis, as it does not integrate other relevant immunohistochemical biomarkers such as Ki67, or hormone receptors to subclassify the tumor according to the risk and the treatment corresponding to the standard categories (<xref rid="b6-ol-25-02-13630" ref-type="bibr">6</xref>). Additionally, the model requires an image preprocessing phase, which increases the level of complexity and time required for analysis. Therefore, the implementation of deep learning models based on convolutional neural networks that allow working directly with the images and integrating other biomarkers in a 4-dimensional hyperimage (<xref rid="b32-ol-25-02-13630" ref-type="bibr">32</xref>,<xref rid="b35-ol-25-02-13630" ref-type="bibr">35</xref>), could be explored in the future to propose an easy-to-use procedure to be assessed in clinical trials.</p>
<p>In conclusion, our current findings suggest that ML classifiers may be an important contribution to pathology services and pathologists as, despite their limitations, they can assist in obtaining a more accurate diagnosis of HER2 immunohistochemical expression as a tool to predict future potential patient outcomes.</p>
</sec>
</body>
<back>
<ack>
<title>Acknowledgements</title>
<p>Not applicable.</p>
</ack>
<sec sec-type="data-availability">
<title>Availability of data and materials</title>
<p>The datasets used and/or analyzed during the present study are available from the corresponding author on reasonable request.</p>
</sec>
<sec>
<title>Authors&#x0027; contributions</title>
<p>CC, PO, and JGM conceived and designed the study. CL, PG and IM collected, prepared, and anonymized the histological samples. CC and JGM designed and executed the automated image analysis. CC, RO, and RM implemented and tested the explainable machine learning model. CC, WGA and PO analyzed the data and performed the statistical tests. CC, WGA, PO, PG, and IM wrote the manuscript. CC, JGM, CL, IM and PO confirm the authenticity of all the raw data. All authors have read and approved the final manuscript.</p>
</sec>
<sec>
<title>Ethics approval and consent to participate</title>
<p>The use of digital image samples and anonymized data was approved by the Carlos van Buren Hospital directive and by the V Region, Valpara&#x00ED;so-San Antonio, Scientific Ethics Committee SSVSA (approval no.: 1765-07.10.2021).</p>
</sec>
<sec>
<title>Patient consent for publication</title>
<p>The need for informed consent was waived with authorization from V Region, Valpara&#x00ED;so-San Antonio, Scientific Ethics Committee SSVSA (approval no.: 1765-07.10.2021).</p>
</sec>
<sec sec-type="COI-statement">
<title>Competing interests</title>
<p>The authors declare that they have no competing interests.</p>
</sec>
<glossary>
<def-list>
<title>Abbreviations</title>
<def-item><term>IHC</term><def><p>immunohistochemistry</p></def></def-item>
<def-item><term>ML</term><def><p>machine learning</p></def></def-item>
<def-item><term>AI</term><def><p>artificial intelligence</p></def></def-item>
<def-item><term>HER2</term><def><p>human epidermal growth factor 2</p></def></def-item>
<def-item><term>FISH</term><def><p>fluorescence <italic>in situ</italic> hybridization</p></def></def-item>
<def-item><term>SHAP</term><def><p>Shapley Additive exPlanations</p></def></def-item>
</def-list>
</glossary>
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<floats-group>
<fig id="f1-ol-25-02-13630" position="float">
<label>Figure 1.</label>
<caption><p>Automated analysis procedure in ImageJ. (A) Pattern extraction procedure from the IHC signal. By means of RGB deconvolution, it was possible to convert the brown signal into an 8-bit scale with which the binary mask for counting cells with a completely stained membrane was generated. (B) From the 8-bit image and the binary mask, the four features obtained where MGV corresponds to feature 1, the count to feature 2. and the average size plus the total area of the positive cells corresponds to features 3 and 4, respectively. MGV, mean gray value; count, count of cells with completely stained membrane; IHC, immunohistochemistry; RGB, red/green/blue.</p></caption>
<graphic xlink:href="ol-25-02-13630-g00.tif"/>
</fig>
<fig id="f2-ol-25-02-13630" position="float">
<label>Figure 2.</label>
<caption><p>Results of automated image analysis in control cases. (A) Representative images of the results of the automatic analytical procedure in the negative controls (top, 0&#x2013;1) and positive controls (bottom, &#x002B;3). The original image was decomposed into the total signal and the binary mask of the circular spaces, which then showed the substantial differences between the two groups. (B) Graphs of the quantification in the controls (positive and negative) of the MGV (left) and the particle count of interest (right). Data are presented as the mean &#x00B1; SD. &#x002A;&#x002A;P&#x003C;0.01, &#x002A;&#x002A;&#x002A;P&#x003C;0.001. n=30. MGV, mean grey value.</p></caption>
<graphic xlink:href="ol-25-02-13630-g01.tif"/>
</fig>
<fig id="f3-ol-25-02-13630" position="float">
<label>Figure 3.</label>
<caption><p>Classification model of the performance metrics. (A) Confusion matrices for the IHC vs. IHC &#x002B; FISH classifier models and the resulting best accuracy, precision, and recall. (B) ROC analysis and graphical representation of the AUC for the two models. The intervals are adjusted to 95&#x0025; confidence. n=20. IHC, immunohistochemistry; FISH, fluorescence <italic>in situ</italic> hybridization; ROC, receiver operating characteristic; AUC, area under the curve.</p></caption>
<graphic xlink:href="ol-25-02-13630-g02.tif"/>
</fig>
<fig id="f4-ol-25-02-13630" position="float">
<label>Figure 4.</label>
<caption><p>Model classification differences explained by the SHAP values. (A) A plot was used to sort the features based on the sum of SHAP value magnitudes over all samples and show the distribution of the impact that each feature had on the model output. The color represents the feature value (red high, blue low) and the x-axis represents the impact score according to binary output (HER2- or &#x002B;). (B) The mean absolute value of the SHAP values for each feature to get a standard bar plot showed the average impact on global model output. SHAP, Shapley Additive exPlanations.</p></caption>
<graphic xlink:href="ol-25-02-13630-g03.tif"/>
</fig>
</floats-group>
</article>
