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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">vestift</journal-id><journal-title-group><journal-title xml:lang="ru">Известия Национальной академии наук Беларуси. Серия физико-технических наук</journal-title><trans-title-group xml:lang="en"><trans-title>Proceedings of the National Academy of Sciences of Belarus. Physical-technical series</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1561-8358</issn><issn pub-type="epub">2524-244X</issn><publisher><publisher-name>The Republican Unitary Enterprise Publishing House "Belaruskaya Navuka"</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.29235/1561-8358-2026-71-2-166-176</article-id><article-id custom-type="elpub" pub-id-type="custom">vestift-948</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>ИНФОРМАЦИОННЫЕ ТЕХНОЛОГИИ И СИСТЕМЫ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>INFORMATION TECHNOLOGIES AND SYSTEMS</subject></subj-group></article-categories><title-group><article-title>Итеративное обучение модели дозиметрического планирования стерео- таксической лучевой терапии при патологиях грудного и поясничного отделов позвоночника</article-title><trans-title-group xml:lang="en"><trans-title>Iterative training of an automated dosimetric planning model for stereotactic radiotherapy in thoracic and lumbar spine pathologies</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Юшкевич</surname><given-names>В. Ю.</given-names></name><name name-style="western" xml:lang="en"><surname>Yushkevich</surname><given-names>V. Yu.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Юшкевич Виктория Юрьевна – медицинский физик отдела по инженерному обеспечению лучевой терапии г</p><p>аг. Лесной, 223040, Минский район, Минская область</p></bio><bio xml:lang="en"><p>Viktoryia Yu. Yushkevich – Medical Physicist of the Department for Engineering Support of Radiation Therapy</p><p>agro-town Lesnoy, 223040, Minsk district</p></bio><email xlink:type="simple">yushkevich.ur@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-5137-3064</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Петкевич</surname><given-names>М. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Pietkevich</surname><given-names>M. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Петкевич Максим Николаевич – кандидат технических наук, начальник отдела по инженерному обеспечению лучевой терапии </p><p>аг. Лесной, 223040, Минский район, Минская область</p></bio><bio xml:lang="en"><p>Maksim N. Pietkevich – Cand. Sci. (Engineering), Head of the Department for Engineering Support of Radiation Therapy </p><p>agro-town Lesnoy, 223040, Minsk district</p></bio><email xlink:type="simple">maxpetkevichn@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Тарутин</surname><given-names>И. Г.</given-names></name><name name-style="western" xml:lang="en"><surname>Tarutin</surname><given-names>I. G.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Тарутин Игорь Германович – доктор технических наук, профессор, медицинский физик отдела по инженерному обеспечению лучевой</p><p>аг. Лесной, 223040, Минский район, Минская область</p></bio><bio xml:lang="en"><p>Ihar G. Tarutin – Dr. Sci. (Engineering), Professor, Medical Physicist of the Medical Physicist and Engineering Department </p><p>agro-town Lesnoy, 223040, Minsk district</p></bio><email xlink:type="simple">itarutin1940@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Государственное учреждение «Республиканский научно-практический центр онкологии и медицинской радиологии имени Н. Н. Александрова»</institution><country>Беларусь</country></aff><aff xml:lang="en"><institution>N. N. Alexandrov National Cancer Centre</institution><country>Belarus</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>09</day><month>07</month><year>2026</year></pub-date><volume>71</volume><issue>2</issue><fpage>166</fpage><lpage>176</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Юшкевич В.Ю., Петкевич М.Н., Тарутин И.Г., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Юшкевич В.Ю., Петкевич М.Н., Тарутин И.Г.</copyright-holder><copyright-holder xml:lang="en">Yushkevich V.Y., Pietkevich M.N., Tarutin I.G.</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://vestift.belnauka.by/jour/article/view/948">https://vestift.belnauka.by/jour/article/view/948</self-uri><abstract><p>Представлены результаты применения итеративного подхода к оптимизации многокритериальных моделей распределения дозы ионизирующего излучения для стереотаксической лучевой терапии позвоночника. В исследовании использовались две модели: базовая многокритериальная модель (SRT_Vert_BM, от англ. Baseline Multicriteria Model) и усовершенствованная многокритериальная модель (SRT_Vert_IM, от англ. Iterative Multicriteria Model). Первая построена на основе клинической выборки дозиметрических планов, вторая создана итеративным методом, при котором обучающая выборка формировалась из планов, сгенерированных исходной моделью. Валидация показала, что SRT_Vert_IM обеспечивает статистически значимое улучшение прогностических характеристик (повышение коэффициента детерминации R², снижение среднеквадратичной ошибки MSE) и дозиметрических параметров для билатеральных паренхиматозных органов риска (p &lt; 0,05) при сохранении клинически приемлемого покрытия целевого объема облучения. Итеративное обучение позволило повысить воспроизводимость и достоверность качества дозиметрических планов, что подтверждает перспективность данного подхода для совершенствования процесса планирования стереотаксической лучевой терапии.</p></abstract><trans-abstract xml:lang="en"><p>The study presents the results of applying an iterative approach to optimizing automated multi-criteria ionizing radiation dose distribution models for stereotactic spine radiotherapy. Two models were used: SRT_Vert_BM (Baseline Multicriteria Model) and SRT_Vert_IM (Iterative Multicriteria Model). The former was built on a clinical dataset of dosimetric plans, while the latter was created using an iterative method where the training dataset was formed from plans generated by the baseline model. Validation demonstrated that SRT_Vert_IM provides statistically significant improvements in predictive performance (increased coefficient of determination R², reduced mean squared error MSE) and dosimetric parameters for bilateral parenchymal organs at risk (p &lt; 0.05) while maintaining clinically acceptable target volume coverage. Iterative training enhanced the reproducibility and reliability of dosimetric plan quality, confirming the potential of this approach for advancing automated treatment planning.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>итеративный метод обучения</kwd><kwd>многокритериальная модель</kwd><kwd>моделирование трехмерного распределения дозы</kwd><kwd>ионизирующее излучение</kwd><kwd>модуль RapidPlan v16.1</kwd><kwd>компьютерная система планирования облучения Eclipse v16.1</kwd><kwd>машинное обучение</kwd></kwd-group><kwd-group xml:lang="en"><kwd>iterative learning method</kwd><kwd>multi-criteria model</kwd><kwd>three-dimensional dose distribution modeling</kwd><kwd>ionizing radiation</kwd><kwd>RapidPlan v16.1 module</kwd><kwd>Eclipse v16.1 radiation treatment planning system</kwd><kwd>machine learning</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Volumetric modulated arc therapy: a review of current literature and clinical use in practice / M. 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