Skip to main content

Mathematical Modeling of the Biomechanical Rehabilitation System of Foot Exoskeleton in Frontal and Sagittal Planes

  • Chapter
  • First Online:
Frontiers in Robotics and Electromechanics

Abstract

Ankle injuries are the most common injuries to the lower extremities. Despite the close attention of traumatologists, both abroad and in our country, the problem of treating injuries of the ankle joint remains unresolved. This is due to the difficulties of treatment, the frequent occurrence of complications and not always positive results, which were noted in more than one third of patients. Therefore, the relevance of the apparatus for mechanotherapy of the ankle joint is high. It is necessary for the rehabilitation complex to be able to change the position of a person’s foot, thereby performing the trajectories of movement chosen by the rehabilitation therapist, which are necessary for the restoration of the joint. Due to the observance of the correct angles of inclination of the patient’s foot, as well as its precise positioning, rehabilitation should take place faster and better than therapy without a specialized apparatus. Such a device can be in demand both among professional athletes who are prone to injuries of this type, and in trauma departments of hospitals. The purpose of this study is to create a rehabilitation device that provides programmable spatial movement of the foot around a virtual hinge.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Wang, C., Fang, Y., Guo, S., Zhou, C.: Design and kinematic analysis of redundantly actuated parallel mechanismsfor ankle rehabilitation. Robotica 33(2), 366–384 (2015)

    Article  Google Scholar 

  2. Zeng, D., Wu, H., Zhao, X., Lu, W., Luo, X.: A new type of ankle-foot rehabilitation robotbased on muscle motor characteristics. IEEE Trans. Autom. Sci. Eng. 8, 189–195 (2020)

    Google Scholar 

  3. Antonellis, P., Galle, S., Clercq, D.D., Malcolm, P.: Altering gait variability with an ankle exoskeleton 13(10) (2018)

    Google Scholar 

  4. Alvarez-Perez, M.G., Garcia-Murillo, M.A., Cervantes-Sánchez, J.J.: Robot-assisted ankle rehabilitation: a review, disability and rehabilitation. Disabil. Rehabil. Assist. Technol. 15(4), 394–408 (2020)

    Article  Google Scholar 

  5. Zhang, L., Li, J., Dong, M, Fang, B., Cui, Y., Zuo, S., Zhang, K.: Design and workspace analysis of a parallel ankle rehabilitation robot (PARR). J. Healthcare Eng. 10 (2019)

    Google Scholar 

  6. Jamwal, P.K., Xie, S., Aw, K.C.: Kinematic design optimization of a parallel ankle rehabilitation robot using modified genetic algorithm. Robot. Auton. Syst. 57(10), 1018–1027 (2009)

    Article  Google Scholar 

  7. Vallés, M., Cazalilla, J., Valera, Á., Mata, V., Page, Á., Díaz-Rodríguez, M.: A 3-PRS parallel manipulator for ankle rehabilitation: towards a low-cost robotic rehabilitation. Robotica 35(10), 1939–1957 (2017)

    Article  Google Scholar 

  8. Zhang, M., McDaid, A., Veale, A.J., Peng, Y., Xie, S.Q.: Adaptive robot with trajectory tracking control of a parallel ankle rehabilitation joint-space force distribution 7, 85812–85820 (2019)

    Google Scholar 

  9. Jamwal, P., Hussain, S., Xie, S.: Restage design analysis and multicriteria optimization of a parallel ankle rehabilitation robot using genetic algorithm. IEEE Trans. Autom. Sci. Eng. 12(4), 1433–1446 (2014)

    Article  Google Scholar 

  10. Khalid, Y.M., Gouwanda, D., Parasuraman, S.: A review on the mechanical design elements of ankle rehabilitation robot. Proc. Inst. Mech. Eng. [H] 229(6), 452–463 (2015)

    Article  Google Scholar 

  11. Zeng, X., Zhu, G., Zhang, M., Xie, S.Q.: Reviewing clinical effectiveness of active training strategies of platform-Based ankle rehabilitation robots. J. Healthcare Eng. 1–12 (2018)

    Google Scholar 

  12. Wang, C., Fang, Y., Guo, S.: Multi-objective optimization of a parallel ankle rehabilitation robot using modified differential evolution algorithm. Chinese J. Mech. Eng. 28(4), 702–715 (2015)

    Article  Google Scholar 

  13. Hassan, M., Khajepour, A.: Optimization of actuator forces in cable-based parallel manipulators using convex analysis. IEEE Trans. Rob. 24, 736–740 (2008)

    Article  Google Scholar 

  14. Farjadian, A.B., Nabian, M., Hartman, A., Corsino, J., Mavroidis, C., Holden, M. K.: Position versus force control: using the 2-DOF robotic ankle trainer to assess ankle’s motor control. In: 2014 36th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, pp. 1186–1189 (2014)

    Google Scholar 

  15. ORMED FLEX 02 ankle apparatus. https://www.ormed.ru/katalog/passivnaya-reabilitatsiya/ormed-flex-02-dlya-golenostopnogo-sustava/ 08 May 2022

  16. ARTROMOT SP3 trainer for continuous passive development of the ankle joint. https://reamed.su/catalog/product/artromot-sp3/ 08 May 2022

  17. Rehabilitation simulator for passive development of the ankle joint. https://www.beka.ru/ru/katalog/domashnyaya-reabilitatsiya/kinetec-breva-ankle-cpm/ 08 May 2022

  18. Anatomy of the foot. https://www.sportmedicine.ru/foot_anatom.php/ 08 May 2022

  19. Jatsun, S.M., Jatsun, A.S., Korenevskiy, N.: Experience in the development of rehabilitation exoskeletons. Biomed. Eng. 51(3) (2017)

    Google Scholar 

  20. Zhang, M., Davies, T.C., Xie, S.: Effectiveness of robot-assisted therapy on ankle rehabilitation—a systematic review. J. Neuroeng. Rehabil. 10(1), 1–16 (2013)

    Article  Google Scholar 

  21. Li, J., Fan, W., Dong, M.: Research on control strategies for ankle rehabilitation using parallel mechanism. Cognitive Comput. Syst. 2(3), 105–111 (2020)

    Article  Google Scholar 

  22. Jatsun, S.M., Jatsun, A.S., Rukavitsyn, A.N., Politov, E.N.: New approaches to rehabilitation of the ankle joint using a mechanotherapeutic apparatus. Biomed. Eng. 52, 37–41 (2018)

    Article  Google Scholar 

  23. Nakayama, A., Ruelas, D., Savage, J., Bribiesca, E.: Teleoperated service robot with an immersive mixed reality interface. Inf. Automat. 20(6), 1187–1223 (2021). https://doi.org/10.15622/ia.20.6.1

  24. Jatsun, S.M., Jatsun, A.S., Rukavitsyn, A.N.: Designing a mechanotherapy device for rehabilitation of lower extremities of humans. Biomed. Eng. 50, 128–133 (2016)

    Article  Google Scholar 

Download references

Acknowledgements

The article was prepared with the support of the Strategic Project “Priority-2030. Creation of robotic tools to expand human functionality”.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Andrey Knyazev .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Knyazev, A., Jatsun, A., Fedorov, A. (2023). Mathematical Modeling of the Biomechanical Rehabilitation System of Foot Exoskeleton in Frontal and Sagittal Planes. In: Ronzhin, A., Pshikhopov, V. (eds) Frontiers in Robotics and Electromechanics. Smart Innovation, Systems and Technologies, vol 329. Springer, Singapore. https://doi.org/10.1007/978-981-19-7685-8_2

Download citation

Publish with us

Policies and ethics