<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<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">sapi</journal-id><journal-title-group><journal-title xml:lang="ru">Системный анализ и прикладная информатика</journal-title><trans-title-group xml:lang="en"><trans-title>«System analysis and applied information science»</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2309-4923</issn><issn pub-type="epub">2414-0481</issn><publisher><publisher-name>Belarusian National Technical University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.21122/2309-4923-2025-3-11-16</article-id><article-id custom-type="elpub" pub-id-type="custom">sapi-758</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>Системный анализ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>System analysis</subject></subj-group></article-categories><title-group><article-title>Интеграция биомеханических и психофизиологических данных в модель прогнозирования травм спортсменов с использованием LSTM-сетей</article-title><trans-title-group xml:lang="en"><trans-title>Integration of biomechanical and psychophysiological data into a model for predicting athletes' injuries using lstm networks</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>Солонец</surname><given-names>А. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Solonets</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Солонец Антон Владимирович – кандидат педагогических наук, доцент. Заведующий кафедрой «Спортивная инженерия».</p><p>г. Минск</p></bio><bio xml:lang="en"><p>A. V. Solonets – PhD of Pedagogic Sciences, Associate Professor. Head of the Department of Sports Engineering at the Belarusian National Technical University. </p><p>Minsk </p></bio><email xlink:type="simple">solonets@bntu.by</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>Снарский</surname><given-names>А. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Snarsky</surname><given-names>A. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Снарский Андрей Станиславович – Кандидат технических наук, доцент. Декан факультета промышленной и радиационной безопасности филиала БНТУ «Межотраслевой институт повышения квалификации и переподготовки кадров по менеджменту и развитию персонала».</p><p>г. Минск</p></bio><bio xml:lang="en"><p>A. S. Snarsky – PhD of Engineering Sciences, Associate Professor. Dean of the Faculty of Industrial and Radiation Safety at the BNTU branch "Interindustry Institute for Advanced Training and Retraining of Personnel in Management and Personnel Development".</p><p>Minsk</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Белорусский национальный технический университет</institution><country>Беларусь</country></aff><aff xml:lang="en"><institution>Belarusian National Technical University</institution><country>Belarus</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>16</day><month>10</month><year>2025</year></pub-date><volume>0</volume><issue>3</issue><fpage>11</fpage><lpage>16</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Солонец А.В., Снарский А.С., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Солонец А.В., Снарский А.С.</copyright-holder><copyright-holder xml:lang="en">Solonets A.V., Snarsky A.S.</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://sapi.bntu.by/jour/article/view/758">https://sapi.bntu.by/jour/article/view/758</self-uri><abstract><p>Современный спорт высших достижений предъявляет повышенные требования к физической, технической и психологической подготовке спортсменов, что усиливает проблему спортивных травм и перетренированности. Традиционные методы мониторинга зачастую не обеспечивают достаточной точности для своевременного выявления рисков травматизма. В данном исследовании разработаны и сравнены три модели на базе LSTM для прогнозирования риска травм у бегунов: основанная на биомеханических параметрах, психофизиологических показателях и интегрированная, объединяющая оба типа данных. Модели созданы на основе данных цифровых двойников двух квалифицированных бегунов, включающих физиологические (частота сердечных сокращений, вариабельность сердечного ритма, уровень лактата), биомеханические (углы суставов, симметрия шага, ускорения) и психофизиологические (качество сна, утомляемость, когнитивные реакции) показатели. Интегрированная модель показала наилучшие результаты: Accuracy = 0.89, F1-мера = 0.87, AUC-ROC = 0.91. Анализ SHAP выявил ключевые предикторы: симметрия шага, ударная нагрузка, снижение вариабельности сердечного ритма, ухудшение качества сна и субъективная утомляемость. Результаты подчеркивают преимущества интеграции разнородных данных, создавая надежную основу для персонализированных систем профилактики травм в спорте.</p></abstract><trans-abstract xml:lang="en"><p>Modern high-performance sports place increasing demands on athletes’ physical, technical, and psychological preparedness, intensifying the challenge of sports injuries and overtraining. Traditional monitoring methods often lack predictive precision, hindering timely identification of injury risks.This study develops and compares three LSTM-based models for predicting injury risk in runners: one leveraging biomechanical parameters, another using psychophysiological indicators, and an integrated model combining both. Models were developed using data from digital twins of two professional runners, incorporating physiological (heart rate, heart rate variability, lactate levels), biomechanical (joint angles, step symmetry, accelerations), and psychophysiological (sleep quality, fatigue, cognitive responses) metrics. The integrated model demonstrated superior performance, achieving an Accuracy of 0.89, F1-score of 0.87, and AUC-ROC of 0.91. SHAP analysis identified key predictors, including step symmetry, tibial shock, reduced heart rate variability, sleep quality decline, and subjective fatigue. These findings highlight the enhanced predictive power of integrating diverse data types, offering a robust foundation for personalized injury prevention systems in sports.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>искусственный интеллект</kwd><kwd>LSTM-сети</kwd><kwd>прогнозирование травм</kwd><kwd>биомеханические данные</kwd><kwd>психофизиологические показатели</kwd><kwd>спортсмены</kwd><kwd>цифровые двойники</kwd><kwd>спортивная аналитика</kwd></kwd-group><kwd-group xml:lang="en"><kwd>artificial intelligence</kwd><kwd>LSTM networks</kwd><kwd>injury prediction</kwd><kwd>biomechanical data</kwd><kwd>psychophysiological indicators</kwd><kwd>runners</kwd><kwd>digital twins</kwd><kwd>sports analytics</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">Kakouris N. Yener N, Fong DTR. A systematic review of running-related musculoskeletal injuries in runners. Journal of Sport and Health Science. 2021;10(5):513–522. DOI: 10.1016/j.jshs.2021.04.001</mixed-citation><mixed-citation xml:lang="en">Kakouris N. Yener N, Fong DTR. A systematic review of running-related musculoskeletal injuries in runners. Journal of Sport and Health Science. 2021;10(5):513–522. DOI: 10.1016/j.jshs.2021.04.001</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Lopes AD, Hespanhol Junior LC. Yeung SS, Costa LOP. What are the Main Running-Related Musculoskeletal Injuries?: A Systematic Review. Sports Medicine. 2012;42(10):P. 891–905. DOI: 10.1007/BF03262301</mixed-citation><mixed-citation xml:lang="en">Lopes AD, Hespanhol Junior LC. Yeung SS, Costa LOP. What are the Main Running-Related Musculoskeletal Injuries?: A Systematic Review. Sports Medicine. 2012;42(10):P. 891–905. DOI: 10.1007/BF03262301</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Burke A, Dillon S, O’Connor S, Whyte EF, Gore S, Moran KA. Aetiological Factors of Running-Related Injuries: A 12 Month Prospective “Running Injury Surveillance Centre” (RISC) Study. Sports Medicine – Open. 2023;9(1):46. DOI: 10.1186/s40798-023-00589-1</mixed-citation><mixed-citation xml:lang="en">Burke A, Dillon S, O’Connor S, Whyte EF, Gore S, Moran KA. Aetiological Factors of Running-Related Injuries: A 12 Month Prospective “Running Injury Surveillance Centre” (RISC) Study. Sports Medicine – Open. 2023;9(1):46. DOI: 10.1186/s40798-023-00589-1</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Amendolara A, Pfister D, Settelmayer M, Shah M, Wu V, Donnelly S, et al. An Overview of Machine Learning Applications in Sports Injury Prediction. Cureus. 2023;15(9):e46170. DOI: 10.7759/cureus.46170</mixed-citation><mixed-citation xml:lang="en">Amendolara A, Pfister D, Settelmayer M, Shah M, Wu V, Donnelly S, et al. An Overview of Machine Learning Applications in Sports Injury Prediction. Cureus. 2023;15(9):e46170. DOI: 10.7759/cureus.46170</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Leckey C, van Dyk N, Doherty C, Lawlor A, Delahunt E. Machine learning approaches to injury risk prediction in sport: a scoping review with evidence synthesis. British Journal of Sports Medicine. 2025;59(7):491–500. DOI: 10.1136/bjsports-2024-108576</mixed-citation><mixed-citation xml:lang="en">Leckey C, van Dyk N, Doherty C, Lawlor A, Delahunt E. Machine learning approaches to injury risk prediction in sport: a scoping review with evidence synthesis. British Journal of Sports Medicine. 2025;59(7):491–500. DOI: 10.1136/bjsports-2024-108576</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Ye X. Huang Y, Bai Z, Wang Y. A novel approach for sports injury risk prediction: based on time-series image encoding and deep learning. Frontiers in Physiology. 2023;14:1174525. DOI: 10.3389/fphys.2023.1174525</mixed-citation><mixed-citation xml:lang="en">Ye X. Huang Y, Bai Z, Wang Y. A novel approach for sports injury risk prediction: based on time-series image encoding and deep learning. Frontiers in Physiology. 2023;14:1174525. DOI: 10.3389/fphys.2023.1174525</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Solonets AV, Snarsky AS. Application of artificial intelligence for predicting injury risk in athletes: an approach using recurrent neural networks. System analysis and applied information science. 2025;2:11–16. (In Russ.). DOI: 10.21122/2309-4923-2025-2-11-16</mixed-citation><mixed-citation xml:lang="en">Solonets AV, Snarsky AS. Application of artificial intelligence for predicting injury risk in athletes: an approach using recurrent neural networks. System analysis and applied information science. 2025;2:11–16. (In Russ.). DOI: 10.21122/2309-4923-2025-2-11-16</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Majumdar A, Bakirov R, Hodges D, Scott S, Rees T. Machine Learning for Understanding and Predicting Injuries in Football. Sports Medicine – Open. 2022;8(1):73. DOI: 10.1186/s40798-022-00465-4</mixed-citation><mixed-citation xml:lang="en">Majumdar A, Bakirov R, Hodges D, Scott S, Rees T. Machine Learning for Understanding and Predicting Injuries in Football. Sports Medicine – Open. 2022;8(1):73. DOI: 10.1186/s40798-022-00465-4</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Lundberg S, Lee S. A Unified Approach to Interpreting Model Predictions. arXiv. 2017;arXiv:1705.07874v2. DOI: 10.48550/arXiv.1705.07874</mixed-citation><mixed-citation xml:lang="en">Lundberg S, Lee S. A Unified Approach to Interpreting Model Predictions. arXiv. 2017;arXiv:1705.07874v2. DOI: 10.48550/arXiv.1705.07874</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Hou J, Tian Z. Application of recurrent neural network in predicting athletes' sports achievement. The Journal of Supercomputing. 2022;78(1):5507–5525. DOI: 10.1007/s11227-021-04082-y</mixed-citation><mixed-citation xml:lang="en">Hou J, Tian Z. Application of recurrent neural network in predicting athletes' sports achievement. The Journal of Supercomputing. 2022;78(1):5507–5525. DOI: 10.1007/s11227-021-04082-y</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Bahr R, Krosshaug T. Understanding injury mechanisms: A key component of preventing injuries in sport. British Journal of Sports Medicine. 2005;39(6):324–329. DOI: 10.1136/bjsm.2005.018341</mixed-citation><mixed-citation xml:lang="en">Bahr R, Krosshaug T. Understanding injury mechanisms: A key component of preventing injuries in sport. British Journal of Sports Medicine. 2005;39(6):324–329. DOI: 10.1136/bjsm.2005.018341</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
