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<article article-type="research-article" dtd-version="1.3" xml:lang="ru" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation="https://metafora.rcsi.science/xsd_files/journal3.xsd">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">moitvivt</journal-id>
      <journal-title-group>
        <journal-title xml:lang="ru">Моделирование, оптимизация и информационные технологии</journal-title>
        <trans-title-group xml:lang="en">
          <trans-title>Modeling, Optimization and Information Technology</trans-title>
        </trans-title-group>
      </journal-title-group>
      <issn pub-type="epub">2310-6018</issn>
      <publisher>
        <publisher-name>Издательство</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.26102/2310-6018/2025.50.3.004</article-id>
      <article-id pub-id-type="custom" custom-type="elpub">1942</article-id>
      <title-group>
        <article-title xml:lang="ru">Автоматическая детекция событий походки с использованием рекуррентных нейронных сетей</article-title>
        <trans-title-group xml:lang="en">
          <trans-title>Automatic detection of gait events using recurrent neural networks</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Клишковская</surname>
              <given-names>Татьяна Алексеевна</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Klishkovskaia</surname>
              <given-names>Tatiana Alekseevna</given-names>
            </name>
          </name-alternatives>
          <email>tatianaklishkov@mail.ru</email>
          <xref ref-type="aff">aff-1</xref>
        </contrib>
        <contrib contrib-type="author">
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Аксенов</surname>
              <given-names>Андрей Юрьевич</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Aksenov</surname>
              <given-names>Andrey</given-names>
            </name>
          </name-alternatives>
          <email>a.aksenov@hotmail.com</email>
          <xref ref-type="aff">aff-2</xref>
        </contrib>
        <contrib contrib-type="author">
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Богданов</surname>
              <given-names>Илья Владимирович</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Bogdanov</surname>
              <given-names>Ilia</given-names>
            </name>
          </name-alternatives>
          <email>ibo@mail.ru</email>
          <xref ref-type="aff">aff-3</xref>
        </contrib>
        <contrib contrib-type="author">
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Некрасова</surname>
              <given-names>Екатерина Александровна</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Nekrasova</surname>
              <given-names>Ekaterina</given-names>
            </name>
          </name-alternatives>
          <email>necrasova.ekaterina@yandex.ru</email>
          <xref ref-type="aff">aff-4</xref>
        </contrib>
        <contrib contrib-type="author">
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Щербаков</surname>
              <given-names>Сергей Валерьевич</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Shcherbakov</surname>
              <given-names>Sergey</given-names>
            </name>
          </name-alternatives>
          <email>shcherbakov@sutd.ru</email>
          <xref ref-type="aff">aff-5</xref>
        </contrib>
      </contrib-group>
      <aff-alternatives id="aff-1">
        <aff xml:lang="ru">Санкт-Петербургский государственный электротехнический университет «ЛЭТИ» имени В.И. Ульянова (Ленина)</aff>
        <aff xml:lang="en">Saint Petersburg Electrotechnical University “LETI”</aff>
      </aff-alternatives>
      <aff-alternatives id="aff-2">
        <aff xml:lang="ru">Санкт-Петербургский государственный университет промышленных технологий и дизайна</aff>
        <aff xml:lang="en">Saint Petersburg State University of Industrial Technologies and Design</aff>
      </aff-alternatives>
      <aff-alternatives id="aff-3">
        <aff xml:lang="ru">Санкт-Петербургский государственный университет промышленных технологий и дизайна</aff>
        <aff xml:lang="en">Saint Petersburg State University of Industrial Technologies and Design</aff>
      </aff-alternatives>
      <aff-alternatives id="aff-4">
        <aff xml:lang="ru">Санкт-Петербургский государственный университет промышленных технологий и дизайна</aff>
        <aff xml:lang="en">Saint Petersburg State University of Industrial Technologies and Design</aff>
      </aff-alternatives>
      <aff-alternatives id="aff-5">
        <aff xml:lang="ru">Санкт-Петербургский государственный университет промышленных технологий и дизайна</aff>
        <aff xml:lang="en">Saint Petersburg State University of Industrial Technologies and Design</aff>
      </aff-alternatives>
      <pub-date pub-type="epub">
        <day>01</day>
        <month>01</month>
        <year>2026</year>
      </pub-date>
      <volume>1</volume>
      <issue>1</issue>
      <elocation-id>10.26102/2310-6018/2025.50.3.004</elocation-id>
      <permissions>
        <copyright-statement>Copyright © Авторы, 2026</copyright-statement>
        <copyright-year>2026</copyright-year>
        <license license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/">
          <license-p>This work is licensed under a Creative Commons Attribution 4.0 International License</license-p>
        </license>
      </permissions>
      <self-uri xlink:href="https://moitvivt.ru/ru/journal/article?id=1942"/>
      <abstract xml:lang="ru">
        <p>Клинический анализ походки является ключевым инструментом диагностики и планирования реабилитационных мероприятий у пациентов с двигательными нарушениями, однако точная и автоматическая детекция событий походки остается сложной задачей в условиях ограниченных ресурсов. Золотым стандартом автоматического определения событий походки является применение силовых платформ, но их применение ограничено при патологических паттернах ходьбы и использовании пациентами вспомогательных технических средств реабилитации. В данной работе представлен подход к автоматической детекции событий походки y детей с патологией походки на основе рекуррентных нейронных сетей. Представленная методология позволяет эффективно обнаруживать ключевые события походки (касание пяткой и отрыв пальцев). В исследовании использованы кинематические данные пациентов с нарушениями походки, полученные с помощью оптической системы захвата движений в различных условиях: при ходьбе босиком, в ортопедической обуви, с использованием ортезов и других технических средств реабилитации. Для обнаружения событий походки были обучены 4 модели (для каждой ноги и события). Модели продемонстрировали высокую чувствительность при малых временных задержках между предсказанным и реальным событием. Предложенный метод может быть использован в условиях клинической практики для автоматизации разметки данных и ускорения обработки данных анализа походки.</p>
      </abstract>
      <trans-abstract xml:lang="en">
        <p>Clinical gait analysis is a key tool for diagnosis and rehabilitation planning in patients with motor disorders; however, accurate and automatic detection of gait events remains a challenging task in resource-limited settings. Force plates are considered the gold standard for automatic gait event detection, but their application is limited in cases of pathological gait patterns and when patients use assistive rehabilitation devices. This paper presents an approach to automatic detection of gait events in children with pathological gait using recurrent neural networks. The presented methodology effectively identifies key gait events (heel strike and toe off). The study used kinematic data from patients with gait disorders, collected using an optical motion capture system under various conditions: barefoot walking, in orthopedic footwear, with orthoses, and other technical rehabilitation aids. Four models were trained to detect gait events (one for each leg and event type). The models demonstrated high sensitivity with small time delays between predicted and actual events. The proposed method can be used in clinical practice to automate data annotation and reduce processing time for gait analysis results.</p>
      </trans-abstract>
      <kwd-group xml:lang="ru">
        <kwd>события походки</kwd>
        <kwd>нейронные сети</kwd>
        <kwd>рекуррентные нейронные сети</kwd>
        <kwd>захват движений</kwd>
        <kwd>биомеханика</kwd>
        <kwd>детский церебральный паралич</kwd>
        <kwd>кинематика стопы</kwd>
        <kwd>машинное обучение</kwd>
      </kwd-group>
      <kwd-group xml:lang="en">
        <kwd>gait events</kwd>
        <kwd>neural networks</kwd>
        <kwd>recurrent neural networks</kwd>
        <kwd>motion capture</kwd>
        <kwd>biomechanics</kwd>
        <kwd>cerebral palsy</kwd>
        <kwd>foot kinematics</kwd>
        <kwd>machine learning</kwd>
      </kwd-group>
      <funding-group>
        <funding-statement xml:lang="ru">Исследование выполнено без спонсорской поддержки.</funding-statement>
        <funding-statement xml:lang="en">The study was performed without external funding.</funding-statement>
      </funding-group>
    </article-meta>
  </front>
  <back>
    <ref-list>
      <title>References</title>
      <ref id="cit1">
        <label>1</label>
        <mixed-citation xml:lang="ru">Wren T.A.L., Gorton III G.E., Õunpuu S., Tucker C.A. Efficacy of Clinical Gait Analysis: A Systematic Review. Gait &amp; Posture. 2011;34(2):149–153. https://doi.org/10.1016/j.gaitpost.2011.03.027</mixed-citation>
      </ref>
      <ref id="cit2">
        <label>2</label>
        <mixed-citation xml:lang="ru">States R.A., Krzak J.J., Salem Ya., Godwin E.M., Bodkin A.W., McMulkin M.L. Instrumented Gait Analysis for Management of Gait Disorders in Children with Cerebral Palsy: A Scoping Review. Gait &amp; Posture. 2021;90:1–8. https://doi.org/10.1016/j.gaitpost.2021.07.009</mixed-citation>
      </ref>
      <ref id="cit3">
        <label>3</label>
        <mixed-citation xml:lang="ru">Del Din S., Elshehabi M., Galna B., et al. Gait Analysis with Wearables Predicts Conversion to Parkinson Disease. Annals of Neurology. 2019;86(3):357–367. https://doi.org/10.1002/ana.25548</mixed-citation>
      </ref>
      <ref id="cit4">
        <label>4</label>
        <mixed-citation xml:lang="ru">Cicirelli G., Impedovo D., Dentamaro V., Marani R., Pirlo G., D’Orazio T.R. Human Gait Analysis in Neurodegenerative Diseases: A Review. IEEE Journal of Biomedical and Health Informatics. 2022;26(1):229–242. https://doi.org/10.1109/JBHI.2021.3092875</mixed-citation>
      </ref>
      <ref id="cit5">
        <label>5</label>
        <mixed-citation xml:lang="ru">Veilleux L.-N., Raison M., Rauch F., Robert M., Ballaz L. Agreement of Spatio-Temporal Gait Parameters Between a Vertical Ground Reaction Force Decomposition Algorithm and a Motion Capture System. Gait &amp; Posture. 2016;43:257–264. https://doi.org/10.1016/j.gaitpost.2015.10.007</mixed-citation>
      </ref>
      <ref id="cit6">
        <label>6</label>
        <mixed-citation xml:lang="ru">Zeni Jr J.A., Richards J.G., Higginson J.S. Two Simple Methods for Determining Gait Events During Treadmill and Overground Walking Using Kinematic Data. Gait &amp; Posture. 2008;27(4):710–714. https://doi.org/10.1016/j.gaitpost.2007.07.007</mixed-citation>
      </ref>
      <ref id="cit7">
        <label>7</label>
        <mixed-citation xml:lang="ru">Ghoussayni S., Stevens Ch., Durham S., Ewins D. Assessment and Validation of a Simple Automated Method for the Detection of Gait Events and Intervals. Gait &amp; Posture. 2004;20(3):266–272. https://doi.org/10.1016/j.gaitpost.2003.10.001</mixed-citation>
      </ref>
      <ref id="cit8">
        <label>8</label>
        <mixed-citation xml:lang="ru">Hreljac A., Marshall R.N. Algorithms to Determine Event Timing During Normal Walking Using Kinematic Data. Journal of Biomechanics. 2000;33(6):783–786. https://doi.org/10.1016/S0021-9290(00)00014-2</mixed-citation>
      </ref>
      <ref id="cit9">
        <label>9</label>
        <mixed-citation xml:lang="ru">De Asha A.R., Robinson M.A., Barton G.J. A Marker Based Kinematic Method of Identifying Initial Contact During Gait Suitable for Use in Real-Time Visual Feedback Applications. Gait &amp; Posture. 2012;36(3):650–652. https://doi.org/10.1016/j.gaitpost.2012.04.016</mixed-citation>
      </ref>
      <ref id="cit10">
        <label>10</label>
        <mixed-citation xml:lang="ru">Bruening D.A., Ridge S.T. Automated Event Detection Algorithms in Pathological Gait. Gait &amp; Posture. 2014;39(1):472–477. https://doi.org/10.1016/j.gaitpost.2013.08.023</mixed-citation>
      </ref>
      <ref id="cit11">
        <label>11</label>
        <mixed-citation xml:lang="ru">Gómez-Pérez C., Martori J.C., Diví A.P., Casanovas J.M., Samsó J.V., Font-Llagunes J.M. Gait Event Detection Using Kinematic Data in Children with Bilateral Spastic Cerebral Palsy. Clinical Biomechanics. 2021;90. https://doi.org/10.1016/j.clinbiomech.2021.105492</mixed-citation>
      </ref>
      <ref id="cit12">
        <label>12</label>
        <mixed-citation xml:lang="ru">Prasanth H., Caban M., Keller U., et al. Wearable Sensor-Based Real-Time Gait Detection: A Systematic Review. Sensors. 2021;21(8). https://doi.org/10.3390/s21082727</mixed-citation>
      </ref>
      <ref id="cit13">
        <label>13</label>
        <mixed-citation xml:lang="ru">Niswander W., Kontson K. Evaluating the Impact of IMU Sensor Location and Walking Task on Accuracy of Gait Event Detection Algorithms. Sensors. 2021;21(12). https://doi.org/10.3390/s21123989</mixed-citation>
      </ref>
      <ref id="cit14">
        <label>14</label>
        <mixed-citation xml:lang="ru">Voisard C., de l’Escalopier N., Ricard D., Oudre L. Automatic Gait Events Detection with Inertial Measurement Units: Healthy Subjects and Moderate to Severe Impaired Patients. Journal of NeuroEngineering and Rehabilitation. 2024;21. https://doi.org/10.1186/s12984-024-01405-x</mixed-citation>
      </ref>
      <ref id="cit15">
        <label>15</label>
        <mixed-citation xml:lang="ru">Romijnders R., Warmerdam E., Hansen C., Welzel J., Schmidt G., Maetzler W. Validation of IMU-Based Gait Event Detection During Curved Walking and Turning in Older Adults and Parkinson’S Disease Patients. Journal of NeuroEngineering and Rehabilitation. 2021;18. https://doi.org/10.1186/s12984-021-00828-0</mixed-citation>
      </ref>
      <ref id="cit16">
        <label>16</label>
        <mixed-citation xml:lang="ru">Zampier V.C., Simonsen M.B., Barbieri F.A., Oliveira A.S. On the Accuracy of Methods Identifying Gait Events Using Optical Motion Capture and a Single Inertial Measurement Unit on the Sacrum. [Preprint]. bioRxiv. URL: https://doi.org/10.1101/2025.03.09.642234 [Accessed 28th March 2025].</mixed-citation>
      </ref>
      <ref id="cit17">
        <label>17</label>
        <mixed-citation xml:lang="ru">Narayan V., Awasthi Sh., Fatima N., Faiz M., Srivastava S. Deep Learning Approaches for Human Gait Recognition: A Review. In: 2023 International Conference on Artificial Intelligence and Smart Communication (AISC), 27–29 January 2023, Greater Noida, India. IEEE; 2023. P. 763–768. https://doi.org/10.1109/AISC56616.2023.10085665</mixed-citation>
      </ref>
      <ref id="cit18">
        <label>18</label>
        <mixed-citation xml:lang="ru">Dehzangi O., Taherisadr M., ChangalVala R. IMU-Based Gait Recognition Using Convolutional Neural Networks and Multi-Sensor Fusion. Sensors. 2017;17(12). https://doi.org/10.3390/s17122735</mixed-citation>
      </ref>
      <ref id="cit19">
        <label>19</label>
        <mixed-citation xml:lang="ru">Su B., Smith Ch., Gutierrez Farewik E. Gait Phase Recognition Using Deep Convolutional Neural Network with Inertial Measurement Units. Biosensors. 2020;10(9). https://doi.org/10.3390/bios10090109</mixed-citation>
      </ref>
      <ref id="cit20">
        <label>20</label>
        <mixed-citation xml:lang="ru">Romijnders R., Warmerdam E., Hansen C., Schmidt G., Maetzler W. A Deep Learning Approach for Gait Event Detection from a Single Shank-Worn IMU: Validation in Healthy and Neurological Cohorts. Sensors. 2022;22(10). https://doi.org/10.3390/s22103859</mixed-citation>
      </ref>
      <ref id="cit21">
        <label>21</label>
        <mixed-citation xml:lang="ru">Wang F.-Ch., Li Yo.-Ch., Kuo T.-Yu., Chen S.-F., Lin Ch.-H. Real-Time Detection of Gait Events by Recurrent Neural Networks. IEEE Access. 2021;9:134849–134857. https://doi.org/10.1109/ACCESS.2021.3116047</mixed-citation>
      </ref>
      <ref id="cit22">
        <label>22</label>
        <mixed-citation xml:lang="ru">Kreuzer D., Munz M. Deep Convolutional and LSTM Networks on Multi-Channel Time Series Data for Gait Phase Recognition. Sensors. 2021;21(3). https://doi.org/10.3390/s21030789</mixed-citation>
      </ref>
      <ref id="cit23">
        <label>23</label>
        <mixed-citation xml:lang="ru">Hochreiter S., Schmidhuber J. Long Short-Term Memory. Neural Computation. 1997;9(8):1735–1780. https://doi.org/10.1162/neco.1997.9.8.1735</mixed-citation>
      </ref>
      <ref id="cit24">
        <label>24</label>
        <mixed-citation xml:lang="ru">Lee J., Hong W., Hur P. Continuous Gait Phase Estimation Using LSTM for Robotic Transfemoral Prosthesis Across Walking Speeds. IEEE Transactions on Neural Systems and Rehabilitation Engineering. 2021;29:1470–1477. https://doi.org/10.1109/tnsre.2021.3098689</mixed-citation>
      </ref>
      <ref id="cit25">
        <label>25</label>
        <mixed-citation xml:lang="ru">Sarshar M., Polturi S., Schega L. Gait Phase Estimation by Using LSTM in IMU-Based Gait Analysis-Proof of Concept. Sensors. 2021;21(17). https://doi.org/10.3390/s21175749</mixed-citation>
      </ref>
      <ref id="cit26">
        <label>26</label>
        <mixed-citation xml:lang="ru">Nazmi N., Rahman M.A.A., Yamamoto Sh.-I., Ahmad S.A. Walking Gait Event Detection Based on Electromyography Signals Using Artificial Neural Network. Biomedical Signal Processing and Control. 2019;47:334–343. https://doi.org/10.1016/j.bspc.2018.08.030</mixed-citation>
      </ref>
      <ref id="cit27">
        <label>27</label>
        <mixed-citation xml:lang="ru">Kim Yo.K., Visscher R.M.S., Viehweger E., Singh N.B., Taylor W.R., Vogl F. A Deep-Learning Approach for Automatically Detecting Gait-Events Based on Foot-Marker Kinematics in Children with Cerebral Palsy – Which Markers Work Best for Which Gait Patterns? PLoS ONE. 2022;17(10). https://doi.org/10.1371/journal.pone.0275878</mixed-citation>
      </ref>
      <ref id="cit28">
        <label>28</label>
        <mixed-citation xml:lang="ru">Kidziński Ł., Delp S., Schwartz M. Automatic Real-Time Gait Event Detection in Children Using Deep Neural Networks. PLoS ONE. 2019;14(1). https://doi.org/10.1371/journal.pone.0211466</mixed-citation>
      </ref>
      <ref id="cit29">
        <label>29</label>
        <mixed-citation xml:lang="ru">Lempereur M., Rousseau F., Rémy-Néris O. A New Deep Learning-Based Method for the Detection of Gait Events in Children with Gait Disorders: Proof-Of-Concept and Concurrent Validity. Journal of Biomechanics. 2020;98. https://doi.org/10.1016/j.jbiomech.2019.109490</mixed-citation>
      </ref>
      <ref id="cit30">
        <label>30</label>
        <mixed-citation xml:lang="ru">Leardini A., Sawacha Z., Paolini G., Ingrosso S., Nativo R., Benedetti M.G. A New Anatomically Based Protocol for Gait Analysis in Children. Gait &amp; Posture. 2007;26(4):560–571. https://doi.org/10.1016/j.gaitpost.2006.12.018</mixed-citation>
      </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>