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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">jkto</journal-id><journal-title-group><journal-title xml:lang="ru">Кафедра травматологии и ортопедии</journal-title><trans-title-group xml:lang="en"><trans-title>Department of Traumatology and Orthopaedics</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2226-2016</issn><publisher><publisher-name>ПРОФИЛЬ — 2С</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17238/2226-2016-2024-2-45-52</article-id><article-id custom-type="elpub" pub-id-type="custom">jkto-71</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>ОРИГИНАЛЬНОЕ ИССЛЕДОВАНИЕ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>ORIGINAL RESEARCH</subject></subj-group></article-categories><title-group><article-title>БИОМЕХАНИЧЕСКАЯ МОДЕЛЬ НАДКОЛЕННИКА В НОРМЕ И ПРИ ПОВРЕЖДЕНИИ МЕДИАЛЬНОЙ ПАТЕЛЛОФЕМОРАЛЬНОЙ СВЯЗКИ</article-title><trans-title-group xml:lang="en"><trans-title>BIOMECHANICAL MODEL OF THE PATELLA IN NORMAL CONDITIONS AND WITH RUPTURE OF THE MEDIAL PATELLOFEMORAL LIGAMENT</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-8103-5613</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Калинский</surname><given-names>E. Б.</given-names></name><name name-style="western" xml:lang="en"><surname>Kalinsky</surname><given-names>E. B.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Калинский Евгений Борисович – доктор медицинских наук, профессор кафедры травматологии, ортопедии и хирургии катастроф</p><p>Москва, 119991</p></bio><bio xml:lang="en"><p>Eugene B. Kalinsky – MD, PhD, Department of Trauma, Orthopedics and Disaster Surgery</p><p>119991 Moscow</p></bio><email xlink:type="simple">kalinskiy_e_b@staff.sechenov.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/0000-0002-4288-9069</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Юрова</surname><given-names>А. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Yurova</surname><given-names>A. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Юрова Александра Сергеевна – канд. физ.-мат. наук, научный сотрудник</p><p>г. Москва, 119333</p></bio><bio xml:lang="en"><p>Alexandra S. Yurova – PhD, researcher</p><p>Moscow, 119333</p></bio><email xlink:type="simple">alexandra.yurova@gmail.com</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-2202-8149</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Лычагин</surname><given-names>А. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Lychagin</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Лычагин Алексей Владимирович – доктор медицинских наук, профессор, заведующий кафедрой травматологии, ортопедии и хирургии катастроф</p><p>Москва, 119991</p></bio><bio xml:lang="en"><p>Alexey V. Lychagin – Doctor of Medical Sciences, Professor, Head of the Department of traumatology, orthopedics and disaster surgery</p><p>Moscow, 119991</p></bio><email xlink:type="simple">lychagin_a_v@staff.sechenov.ru</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>Кавалерский</surname><given-names>Г. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Kavalersky</surname><given-names>G. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Кавалерский Геннадий Михайлович – доктор медицинских наук, профессор кафедры травматологии, ортопедии и хирургии катастроф</p><p>Москва, 119991</p></bio><bio xml:lang="en"><p>Gennadiy M. Kavalersky – Doctor of Medical Sciences, Professor of the Department of traumatology, orthopedics and disaster surgery</p><p>Moscow, 119991</p></bio><email xlink:type="simple">gkavalerskiy@mail.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/0000-0002-4718-1377</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Василевский</surname><given-names>Ю. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Vassilevski</surname><given-names>Y. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Василевский Юрий Викторович – доктор физ.-мат. наук, заместитель директора по науке; зав. кафедрой высшей математики, механики и математического моделирования</p><p>Москва, 119991</p></bio><bio xml:lang="en"><p>Yuri V. Vassilevski – Dr. of Sci. (Mathematics), Deputy Director for science; Head of Mathematics, Mechanics and MathematicalModelling Department</p><p>Moscow, 119048</p><p>Moscow, 119333</p><p>Sochi, 354340</p></bio><email xlink:type="simple">yuri.vassilevski@gmail.com</email><xref ref-type="aff" rid="aff-3"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0007-6921-6423</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Тягунова</surname><given-names>А. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Tyagunova</surname><given-names>A. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Тягунова Александра Игоревна – магистрант</p><p>Москва, 119991</p><p>г. Сочи, 354340</p></bio><bio xml:lang="en"><p>Alexandra I. Tyagunova – student</p><p>Moscow, 119048</p><p>Sochi, 354340</p></bio><xref ref-type="aff" rid="aff-4"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0001-3901-750X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Логинов</surname><given-names>Ф. Б.</given-names></name><name name-style="western" xml:lang="en"><surname>Loginov</surname><given-names>F. B.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Логинов Федор Борисович – магистрант</p><p>119991, Москва</p></bio><bio xml:lang="en"><p>Fedor B. Loginov – student</p><p>Moscow, 119048</p></bio><email xlink:type="simple">loginov.f@mail.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/0000-0003-4202-4468</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Грицюк</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Gritsyuk</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Грицюк Андрей Анатольевич – доктор мед. наук, профессор кафедры травматологии, ортопедии и хирургии катастроф</p><p>119991, Москва</p></bio><bio xml:lang="en"><p>Andrey A. Gritsyuk – MD, PhD, Department of Trauma, Orthopedics and Disaster Surgery I.M. Sechenov</p><p>119991 Moscow</p></bio><email xlink:type="simple">drgaamma@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>Тарабарко</surname><given-names>И. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Tarabarko</surname><given-names>I. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Тарабарко Иван Николаевич – ассистент кафедры травматологии, ортопедии и хирургии катастроф</p><p>Москва, 119991</p></bio><bio xml:lang="en"><p>Ivan N. Tarabarko – assistant of the Department of Traumatology, Orthopedics and Disaster Surgery</p><p>Moscow, 119048</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Алиев</surname><given-names>Р. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Aliev</surname><given-names>R. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Алиев Руслан Исаевич – ассистент кафедры травматологии, ортопедии и хирургии катастроф</p><p>Москва, 119991</p></bio><bio xml:lang="en"><p>Ruslan I. Aliev – assistant of the Department of Traumatology, Orthopedics and Disaster Surgery</p><p>Moscow, 119048</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Богданов</surname><given-names>М. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Bogdanov</surname><given-names>M. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Богданов Максим Михайлович – ассистент кафедры травматологии, ортопедии и хирургии катастроф</p><p>119991, Москва</p></bio><bio xml:lang="en"><p>Maxim M. Bogdanov – assistant of the Department of Traumatology, Orthopedics and Disaster Surgery</p><p>Moscow, 119048</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-1240-4064</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Липина</surname><given-names>М. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Lipina</surname><given-names>M. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Липина Марина Михайловна – кандидат медицинских наук, доцент кафедры травматологии, ортопедии и хирургии катастроф</p><p>119991, Москва</p></bio><bio xml:lang="en"><p>Marina M. Lipina – PhD, assistant professor at Department of traumatology, orthopedics and disaster surgery</p><p>Moscow, 119048</p></bio><email xlink:type="simple">lipina_m_m@staff.sehenov.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/0009-0005-4882-3553</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Азаркин</surname><given-names>К. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Azarkin</surname><given-names>K. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Азаркин Кирилл Михайлович – аспирант кафедры травматологии, ортопедии и хирургии катастроф</p><p>Москва, 119991</p></bio><bio xml:lang="en"><p>Kirill M. Azarkin – postgraduate student at Department of traumatology, orthopedics and disaster surgery</p><p>Moscow, 119991</p></bio><email xlink:type="simple">wilopt@mail.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/0000-0003-4857-8621</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Бабкова</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Babkova</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Анна Анатольевна Бабкова – доцент кафедры лучевой диагностики и лучевой терапии ИКМ им. Н.В. Склифосовского</p><p>119991, Москва</p></bio><bio xml:lang="en"><p>Anna A. Babkova – Ph.D., Assistant professor of the Radiology department</p><p>Moscow, 119048</p></bio><email xlink:type="simple">babkova_a_a@staff.sechenov.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>ФГАОУ ВО Первый Московский государственный медицинский университет им. И.М. Сеченова Минздрава России (Сеченовский Университет)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Sechenov First Moscow State Medical University (Sechenov University)</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>ФГБУН Институт вычислительной математики им. Г.И. Марчука Российской академии наук</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru"><institution>ФГАОУ ВО Первый Московский государственный медицинский университет им. И.М. Сеченова Минздрава России (Сеченовский Университет); ФГБУН Институт вычислительной математики им. Г.И. Марчука Российской академии наук</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Sechenov First Moscow State Medical University (Sechenov University); Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences; Sirius University</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-4"><aff xml:lang="ru"><institution>ФГАОУ ВО Первый Московский государственный медицинский университет им. И.М. Сеченова Минздрава России (Сеченовский Университет); Автономная некоммерческая образовательная организация высшего образования Научно-технологический университет&#13;
«Сириус»</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Sechenov First Moscow State Medical University (Sechenov University); Sirius University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>13</day><month>03</month><year>2026</year></pub-date><volume>0</volume><issue>2</issue><fpage>45</fpage><lpage>52</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Калинский E.Б., Юрова А.С., Лычагин А.В., Кавалерский Г.М., Василевский Ю.В., Тягунова А.И., Логинов Ф.Б., Грицюк А.А., Тарабарко И.Н., Алиев Р.И., Богданов М.М., Липина М.М., Азаркин К.М., Бабкова А.А., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Калинский E.Б., Юрова А.С., Лычагин А.В., Кавалерский Г.М., Василевский Ю.В., Тягунова А.И., Логинов Ф.Б., Грицюк А.А., Тарабарко И.Н., Алиев Р.И., Богданов М.М., Липина М.М., Азаркин К.М., Бабкова А.А.</copyright-holder><copyright-holder xml:lang="en">Kalinsky E.B., Yurova A.S., Lychagin A.V., Kavalersky G.M., Vassilevski Y.V., Tyagunova A.I., Loginov F.B., Gritsyuk A.A., Tarabarko I.N., Aliev R.I., Bogdanov M.M., Lipina M.M., Azarkin K.M., Babkova A.A.</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://www.jkto.moscow/jour/article/view/71">https://www.jkto.moscow/jour/article/view/71</self-uri><abstract><p>Цель исследования: Разработать биомеханическую модель коленного сустава с детальным представлением пателлофеморального сегмента, учитывающую нормальную анатомию костей, суставов, связок и мышц, а также изучить движение надколенника при пассивном сгибании колена.Материалы и методы: Архитектура модели была создана с использованием платформы OpenSim. В модель включены пателлофеморальный сустав с 6 степенями свободы, стабилизаторы надколенника – медиальная пателлофеморальная связка (MPFL), медиальная пателлотибиальная связка (MPTL), латеральный ретинакулум (LR) и контактные поверхности надколенника. Для создания контактных поверхностей использовались Gmsh и Paraview. Моделирование пассивного сгибания коленного сустава с последовательным исключением стабилизаторов надколенника проводилось для оценки их влияния на движение надколенника.Результаты: Разработанная биомеханическая модель позволяет детально анализировать нормальную динамику надколенника и роль различных анатомических структур в его функционировании, что делает её пригодной для дальнейших исследований. Эксперимент с участием всех связок показывает физиологическую норму. Отключение MPTL минимально влияет на наклон и перемещение надколенника, что связано с её небольшим размером. Деактивация MPFL приводит к увеличению латерального наклона и смещения надколенника. Деактивация компонентов LR 1 и 2 вызывает больший медиальный наклон и смещение, а деактивация компонентов 3 и 4 LR приводит к увеличенному латеральному смещению и небольшому дополнительному медиальному наклону.Заключение: результаты показывают, что все связки важны для нормального движения надколенника, подчеркивая важность стабилизирующих структур для поддержания его стабильности при сгибании колена.</p></abstract><trans-abstract xml:lang="en"><p>The aim of the study is to develop a biomechanical model of the knee joint with a detailed representation of the patellofemoral segment, taking into account the normal anatomy of bones, joints, ligaments and muscles, and to study the movement of the patella during passive knee flexion.Materials and Methods: The model architecture was created using the OpenSim platform. The model includes a 6-DOF patellofemoral joint, patellar stabilizers—medial patellofemoral ligament (MPFL), medial patellotibial ligament (MPTL), lateral retinaculum (LR), and patellar contact surfaces. Gmsh and Paraview were used to create contact surfaces. Simulations of passive knee flexion with sequential exclusion of patellar stabilizers were performed to evaluate their effect on patellar motion.Results: The developed biomechanical model allows a detailed analysis of the normal dynamics of the patella and the role of various anatomical structures in its functioning, which makes it suitable for further research. An experiment involving all ligaments shows the physiological norm. Disabling the MPTL has minimal effect on patellar tilt and movement due to its small size. Deactivation of the MPFL results in increased lateral tilt and patellar displacement. Deactivation of LR components 1 and 2 causes greater medial tilt and displacement, and deactivation of LR components 3 and 4 results in increased lateral displacement and small additional medial tilt.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>ортопедия</kwd><kwd>биомеханическая модель</kwd><kwd>модель коленного сустава</kwd><kwd>надколенниково-бедренный сустав</kwd><kwd>кинематика надколенника</kwd></kwd-group><kwd-group xml:lang="en"><kwd>orthopedics</kwd><kwd>biomechanical model</kwd><kwd>model of the knee joint</kwd><kwd>patellofemoral joint</kwd><kwd>kinematics of the patella</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Исследование выполнено при поддержке Российского научного фонда, грант №. 21-71-30023</funding-statement><funding-statement xml:lang="en">The study was supported by the Russian Science Foundation, project no. 21-71-30023</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">Duthon VB. 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