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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">medvis</journal-id><journal-title-group><journal-title xml:lang="ru">Медицинская визуализация</journal-title><trans-title-group xml:lang="en"><trans-title>Medical Visualization</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1607-0763</issn><issn pub-type="epub">2408-9516</issn><publisher><publisher-name>RDS-Media Ltd.</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.24835/1607-0763-1549</article-id><article-id custom-type="elpub" pub-id-type="custom">medvis-1549</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ТЕХНОЛОГИИ ЛУЧЕВОЙ ДИАГНОСТИКИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>RADIOLOGICAL TECHNOLOGIES</subject></subj-group></article-categories><title-group><article-title>Роль морфологических магнитно-резонансных признаков в прогнозировании лимфоваскулярной инвазии злокачественных новообразований молочной железы гибридными морфорадиомическими моделями</article-title><trans-title-group xml:lang="en"><trans-title>Role of morphologic magnetic resonance features in predicting lymphovascular invasion of malignant breast neoplasms by hybrid morpho-radiomic models</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-5283-5961</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Васильев</surname><given-names>Ю. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Vasilev</surname><given-names>Yu. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Васильев Юрий Александрович – канд. мед. наук, директор ГБУЗ “Научно-практический клинический центр диагностики и телемедицинских технологий ДЗ города Москвы”, Москва<ext-link xlink:href="https://orcid.org/0000-0002-0208-5218" ext-link-type="uri">https://orcid.org/0000-0002-0208-5218</ext-link></p></bio><bio xml:lang="en"><p>Yuri A. Vasiliev – Cand. of Sci. (Med.), Director, Research and Practical Clinical Center for Diagnostics and Telemedicine Technologies of the Moscow Health Care Department, Moscowhttps://orcid.org/0000-0002-0208-5218</p></bio><email xlink:type="simple">npcmr@zdrav.mos.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-5428-6687</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Скоробогач</surname><given-names>И. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Skorobogach</surname><given-names>I. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Скоробогач Иван Михайлович – заведующий 1 отделением 1 отдела Референс-центра ГБУЗ “Научно-практический клинический центр диагностики и телемедицинских технологий ДЗ города Москвы”, Москва<ext-link xlink:href="https://orcid.org/0000-0002-5428-6687" ext-link-type="uri">https://orcid.org/0000-0002-5428-6687</ext-link></p></bio><bio xml:lang="en"><p>Ivan M. Skorobogach – head of the 1st department of the Reference Center, Research and Practical Clinical Center for Diagnostics and Telemedicine Technologies of the Moscow Health Care Department, Moscow<ext-link xlink:href="https://orcid.org/0000-0002-5428-6687" ext-link-type="uri">https://orcid.org/0000-0002-5428-6687</ext-link></p></bio><email xlink:type="simple">skorobogachim@zdrav.mos.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-5994-0468</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Нуднов</surname><given-names>Н. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Nudnov</surname><given-names>N. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Нуднов Николай Васильевич – доктор мед. наук, профессор, заместитель директора по науке ФГБУ “Российский научный центр рентгенорадиологии” Минздрава России, Москва<ext-link xlink:href="https://orcid.org/0000-0002-2990-7736" ext-link-type="uri">https://orcid.org/0000-0001-5994-0468</ext-link></p></bio><bio xml:lang="en"><p>Nikolay V. Nudnov – Doct. of Sci. (Med.), Professor, Deputy Director, Russian Scientific Center of Roentgenoradiology of the Ministry of Healthcare of the Russian Federation, Moscow<ext-link xlink:href="https://orcid.org/0000-0001-5994-0468" ext-link-type="uri">https://orcid.org/0000-0001-5994-0468</ext-link></p></bio><email xlink:type="simple">nudnov@rncrr.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-2681-9378</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Блохин</surname><given-names>И. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Blokhin</surname><given-names>I. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Блохин Иван Андреевич – канд. мед. наук, начальник сектора исследований в лучевой диагностике ГБУЗ “Научно-практический клинический центр диагностики и телемедицинских технологий ДЗ города Москвы”, Москва<ext-link xlink:href="http://orcid.org/0000-0002-2681-9378" ext-link-type="uri">http://orcid.org/0000-0002-2681-9378</ext-link></p></bio><bio xml:lang="en"><p>Ivan A. Blokhin – Cand. of Sci. (Med.), Head of Research Sector in Diagnostic Radiology, Research and Practical Clinical Center for Diagnostics and Telemedicine Technologies of the Moscow Health Care Department, Moscowhttp://orcid.org/0000-0002-2681-9378</p></bio><email xlink:type="simple">npcmr@zdrav.mos.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-9661-0254</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Решетников</surname><given-names>Р. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Reshetnikov</surname><given-names>R. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Решетников Роман Владимирович – канд. физ.-мат. наук, руководитель отдела научных медицинских исследований ГБУЗ “Научно-практический клинический центр диагностики и телемедицинских технологий ДЗ города Москвы”, Москваhttp://orcid.org/0000-0002-9661-0254 </p></bio><bio xml:lang="en"><p>Roman V. Reshetnikov – Cand. of Sci. (Phys.-Math.), Head of Scientific Medical Research Department, Research and Practical Clinical Center for Diagnostics and Telemedicine Technologies of the Moscow Health Care Department, Moscowhttp://orcid.org/0000-0002-9661-0254</p></bio><email xlink:type="simple">npcmr@zdrav.mos.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-0166-3768</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Коденко</surname><given-names>М. Р.</given-names></name><name name-style="western" xml:lang="en"><surname>Kodenko</surname><given-names>M. R.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Коденко Мария Романовна – канд. техн. наук, руководитель отдела инновационных технологий ГБУЗ “Научно-практический клинический центр диагностики и телемедицинских технологий ДЗ города Москвы”, Москваhttps://orcid.org/0000-0002-0166-3768</p></bio><bio xml:lang="en"><p>Maria R. Kodenko – Cand. of Sci. (Tech.) head of innovative department, Research and Practical Clinical Center for Diagnostics and Telemedicine Technologies of the Moscow Health Care Department, Moscowhttps://orcid.org/0000-0002-0166-3768</p></bio><email xlink:type="simple">npcmr@zdrav.mos.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-0245-4431</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Омелянская</surname><given-names>О. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Omelyanskaya</surname><given-names>O. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Омелянская Ольга Васильевна – руководитель по управлению подразделениями Дирекции наука ГБУЗ “Научно-практический клинический центр диагностики и телемедицинских технологий ДЗ города Москвы”, Москваhttp://orcid.org/0000-0002-0245-4431</p></bio><bio xml:lang="en"><p>Olga V. Omelyanskaya – Head of Division Management, Science, Research and Practical Clinical Center for Diagnostics and Telemedicine Technologies of the Moscow Health Care Department, Moscowhttp://orcid.org/0000-0002-0245-4431</p></bio><email xlink:type="simple">npcmr@zdrav.mos.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-2990-7736</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Владзимирский</surname><given-names>А. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Vladzymyrskyy</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Владзимирский Антон Вячеславович – доктор мед. наук, заместитель директора по научной работе ГБУЗ “Научно-практический клинический центр диагностики и телемедицинских технологий ДЗ города Москвы”, Москва<ext-link xlink:href="http://orcid.org/0000-0002-2990-7736" ext-link-type="uri">http://orcid.org/0000-0002-2990-7736</ext-link></p></bio><bio xml:lang="en"><p>Anton V. Vladzymyrskyy – Doct. of Sci. (Med.), Deputy Director, Research and Practical Clinical Center for Diagnostics and Telemedicine Technologies of the Moscow Health Care Department, Moscowhttp://orcid.org/0000-0002-2990-7736</p></bio><email xlink:type="simple">npcmr@zdrav.mos.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>ГБУЗ города Москвы “Научно-практический клинический центр диагностики и телемедицинских технологий ДЗ города Москвы”</institution></aff><aff xml:lang="en"><institution>Research and Practical Clinical Center for Diagnostics and Telemedicine Technologies of the Moscow Health Care Department</institution></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>ФГБУ “Российский научный центр рентгенорадиологии” Минздрава России</institution></aff><aff xml:lang="en"><institution>Russian Scientific Center of Roentgenoradiology of the Ministry of Healthcare of the Russian Federation</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>28</day><month>03</month><year>2026</year></pub-date><volume>30</volume><issue>1</issue><fpage>100</fpage><lpage>119</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Васильев Ю.А., Скоробогач И.М., Нуднов Н.В., Блохин И.А., Решетников Р.В., Коденко М.Р., Омелянская О.В., Владзимирский А.В., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Васильев Ю.А., Скоробогач И.М., Нуднов Н.В., Блохин И.А., Решетников Р.В., Коденко М.Р., Омелянская О.В., Владзимирский А.В.</copyright-holder><copyright-holder xml:lang="en">Vasilev Y.A., Skorobogach I.M., Nudnov N.V., Blokhin I.A., Reshetnikov R.V., Kodenko M.R., Omelyanskaya O.V., Vladzymyrskyy A.V.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://medvis.rdsmedia.ru/jour/article/view/1549">https://medvis.rdsmedia.ru/jour/article/view/1549</self-uri><abstract><sec><title>Цель исследования</title><p>Цель исследования: повышение достоверности прогноза лимфоваскулярной инвазии (ЛВИ) гибридными морфорадиомическими моделями наивного Байеса у пациентов со злокачественными новообразованиями молочной железы (ЗНМЖ) путем выяснения роли морфологических магнитно-резонансных (м-МР) признаков.</p></sec><sec><title>Материал и методы</title><p>Материал и методы. Проанализированы данные 191 пациента с ЗНМЖ в виде 13 м-МР признаков, 6194 радиомических МР (р-МР)-показателей всего объема опухоли и целевым признаком – ЛВИ. Среди м-МР-признаков с помощью кросстабуляции, многофакторной логистической регрессии, дискретизации методом Entropy-MDL отобраны предикторы ЛВИ. Среди 6194 р-МР-показателей отобраны предикторы ЛВИ дискретизацией методом Entropy-MDL. Отобранные показатели использовались в обучении алгоритма наивного Байеса. Сравнивались показатели эффективности прогноза ЛВИ.</p></sec><sec><title>Результаты</title><p>Результаты. По данным многофакторной логистической регрессии повышается шанс ЛВИ при выявлении признака ободка опухоли на диффузионно-взвешенном изображении (DWI) в 4,05 раза (OR 4,05, 95%ДИ 1,63–10,47, p = 0,003), перитуморального отека в 5,66 раза (OR 5,66, 95%ДИ 2,27–14,94, p &lt; 0,001). Получены 3 гибридные модели с высокими дискриминационными способностями: 1-я модель с признаком DWI-ободка и радиомической сигнатурой из 4 р-МР-показателей (AUС – 0,886, чувствительность – 89,5%, специфичность – 79,1%, классификационная правильность – 89,5%, правильность прогноза ЛВИ – 73,3% и ее отсутствия – 95,2%), 2-я модель с перитуморальным отеком и радиомической сигнатурой из 6 р-МР-показателей (AUС – 0,879, чувствительность – 82,5%, специфичность – 80,9%, классификационная правильность – 82,5%, правильность прогноза ЛВИ – 80,0% и ее отсутствия – 83,3%) и 3-я модель с перитуморальным отеком, признаком DWI ободка и радиомической сигнатурой из 8 р-МР-показателей (AUС – 0,957, чувствительность – 96,5%, специфичность – 90,2%, классификационная правильность – 96,5%, правильность прогноза ЛВИ – 86,7% и ее отсутствия – 100%). Удаление признака DWI ободка из 1-й модели ухудшает ее дискриминационную способность (AUC-ROC 0,801 ± 0,074 vs 0,886 ± 0,059, p = 0,001) и правильность прогноза ЛВИ (40% vs 73%, p = 0,066). Аналогичные, но менее выраженные, не статистически значимые изменения наблюдаются после удаления признака перитуморального отека из 2-й модели (AUC-ROC 0,843 ± 0,067 vs 0,879 ± 0,060, p = 0,190; правильность прогноза ЛВИ 60% vs 80%, p = 0,232). Удаление двух м-МР-признаков из 3-й модели ухудшает ее дискриминационную способность (AUC-ROC 0,957 ± 0,038 vs 0,901 ± 0,055, p = 0,024) и правильность прогноза ЛВИ (80% vs 86,7%, р = 0,624).</p></sec><sec><title>Заключение</title><p>Заключение. Использование гибридных моделей, объединяющей м-МР признаки и р-МР показатели повышают дискриминационную способность прогноза по сравнению с моделями, использующей только интратуморальные р-МР показатели.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Purpose of the study</title><p>Purpose of the study: to improve the reliability of prediction of lymphovascular invasion (LVI) by hybrid morpho-radiomic naive Bayesian models in patients with malignant breast cancer (MBC) by elucidating the role of morphologic magnetic resonance (m-MR) features.</p></sec><sec><title>Materials and Methods</title><p>Materials and Methods. Data from 191 patients with MBC were analyzed in the form of 13 m-MR features, 6194 radiomic MR (r-MR) indicators of the whole tumor volume, and the target feature, LVI. Among the m-MR features, predictors of LVI were selected using crosstabulation, multivariate logistic regression, and Entropy-MDL discretization. Among 6194 r-MR indicators, predictors of LVI were selected by Entropy-MDL discretization. The selected indicators were used in training the naive Bayes algorithm. The performance of LVI predictors was compared.</p></sec><sec><title>Results</title><p>Results. According to multivariate logistic regression, the odds of LVI increased when tumor rim feature was detected on DWI image 4.05-fold (OR 4.05, 95%CI: 1.63–10.47, p = 0.003), peritumoral edema 5.66-fold (OR 5.66, 95%CI: 2.27–14.94, p &lt; 0.001). 3 hybrid models with high discriminatory abilities were obtained: 1 model with DWI rim and radiomic signature from 4 p-MR indicators (AUC = 0.886, sensitivity – 89.5%, specificity – 79.1%, classification correctness – 89.5%, correctness of prediction of LVI – 73.3% and its absence – 95.2%), 2 model with peritumoral edema and radiomic signature from 6 p-MR indicators (AUC = 0.879, sensitivity – 82.5%, specificity – 80,9%, classification correctness – 82.5%, correctness in predicting LVI – 80.0% and its absence – 83.3%) and 3 models with peritumoral edema, rim DWI sign and radiomic signature from 8 p-MR indicators (AUS = 0.957, sensitivity – 96.5%, specificity – 90.2%, classification correctness – 96.5%, correctness in predicting LVI – 86.7% and its absence – 100%). Removing the DWI rim feature from 1 model worsens its discriminatory power (AUC-ROC, 0.801 ± 0.074 vs 0.886 ± 0.059, p = 0.001) and correctness of LVI prediction (40 vs 73%, p = 0.066). Similar but less pronounced, non-statistically significant changes were observed after removal of the peritumoral edema feature from the 2 models (AUC-ROC, 0.843 ± 0.067 vs 0.879 ± 0.060, p = 0.190; LVI prediction correctness, 60 vs 80%, p = 0.232). Removing 2 m-MR features from the 3 model worsens its discriminatory power (AUC-ROC, 0.957 ± 0.038 vs 0.901 ± 0.055, p = 0.024) and correctness of LVI prediction (80 vs 86.7%, p = 0.624).</p></sec><sec><title>Conclusion</title><p>Conclusion. The use of hybrid models combining m-MR traits and r-MR indices improve the discriminatory power of prediction compared to models using only intratumoral r-MR indices.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>инвазивное злокачественное новообразование молочной железы</kwd><kwd>лимфоваскулярная инвазия</kwd><kwd>машинное обучение</kwd><kwd>МРТ</kwd><kwd>гибридная модель</kwd><kwd>дискретизация Entropy-MDL</kwd><kwd>радиомика</kwd></kwd-group><kwd-group xml:lang="en"><kwd>invasive breast malignancy</kwd><kwd>lymphovascular invasion</kwd><kwd>machine learning</kwd><kwd>MRI</kwd><kwd>hybrid model</kwd><kwd>Entropy-MDL discretization</kwd><kwd>radiomics</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Данная статья подготовлена авторским коллективом в рамках НИР «Научное обоснование методов лучевой диагностики опухолевых заболеваний   с использованием радиомического анализа», (№ ЕГИСУ: №  123031500005-2 )   в соответствии с Приказом от 22.12.2023 г. № 1258 "Об утверждении   государственных заданий, финансовое обеспечение которых осуществляется за   счет средств бюджета города Москвы государственным бюджетным (автономным)   учреждениям подведомственным Департаменту здравоохранения города Москвы, на   2024 год и плановый период 2025 и 2026 годов" Департамента здравоохранения города Москвы</funding-statement><funding-statement xml:lang="en">This paper was   prepared by a team of authors as a part of the research project “Scientific   substantiation of diagnostic radiology methods of tumors using radiomic   analysis", (EGISU No.    123031500005-2) in accordance with Order No. 1258 dated December 22,   2023: "On approval of state assignments funded from the Moscow city   budget to state budgetary (autonomous) institutions subordinated to the   Moscow Healthcare Department for 2024 and the planning period of 2025 and 2026."</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Држевецкая К.С., Корженкова Г.П. 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