Skip to main content

Exploiting Reciprocity Between Constraints and Instantaneous Motion to Reconstruct Individual Knee Kinematics

  • Conference paper
  • First Online:
Advances in Robot Kinematics 2022 (ARK 2022)

Part of the book series: Springer Proceedings in Advanced Robotics ((SPAR,volume 24))

Included in the following conference series:

  • 917 Accesses

Abstract

Musculoskeletal models are limited in their clinical application by the complexity of their personalization. In this work we present a novel and general approach for the reconstruction of the individual joint kinematics that may provide a reference for the personalization of more complex models. The approach relies on the principle of virtual work and obtains the joint motion by imposing reciprocity between instantaneous helical axis and joint constraints. As a case of study, we investigate a cadaveric knee, whose motion was experimentally measured for validation. Comparison between computed and experimental motion resulted in maximum mean rotational and translational errors of 2.6 ± 0.9° and 1.2 ± 0.7 mm, respectively, supporting the efficacy of the presented approach.

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 189.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 249.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 249.99
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. Smith, S.H., Coppack, R.J., van den Bogert, A.J., Bennett, A.N., Bull, A.M.: Review of musculoskeletal modelling in a clinical setting: current use in rehabilitation design, surgical decision making and healthcare interventions. Clin. Biomech. 83, 105292 (2021)

    Article  Google Scholar 

  2. Beillas, P., Papaioannou, G., Tashman, S., Yang, K.H.: A new method to investigate in vivo knee behavior using a finite element model of the lower limb. J. Biomech. 37(7), 1019–1030 (2004)

    Article  Google Scholar 

  3. Harris, M.D., et al.: A combined experimental and computational approach to subject-specific analysis of knee joint laxity. J. Biomech. Eng. 138(8), 081004 (2016)

    Article  Google Scholar 

  4. Jung, Y., Phan, C.B., Koo, S.: Intra-articular knee contact force estimation during walking using force-reaction elements and subject-specific joint model. J. Biomech. Eng. 138(2), 021016 (2016)

    Article  Google Scholar 

  5. Sancisi, N., Parenti-Castelli, V.: A sequentially-defined stiffness model of the knee. Mech. Mach. Theory 46(12), 1920–1928 (2011)

    Article  Google Scholar 

  6. Sancisi, N., Parenti-Castelli, V.: A 1-dof parallel spherical wrist for the modelling of the knee passive motion. Mech. Mach. Theory 45(4), 658–665 (2010)

    Article  Google Scholar 

  7. Blankevoort, L., Huiskes, R.: Validation of a three-dimensionalmodel of the knee. J. Biomech. 29(7), 955–961 (1996)

    Google Scholar 

  8. Guess, T.M., Thiagarajan, G., Kia, M., Mishra, M.: A subject specific multibody model of the knee with menisci. Med. Eng. Phys. 32(5), 505–515 (2010)

    Article  Google Scholar 

  9. Mootanah, R., et al.: Development and validation of a computational model of the knee joint for the evaluation of surgical treatments for osteoarthritis. Comput. Methods Biomech. Biomed. Eng. 17(13), 1502–1517 (2014)

    Article  Google Scholar 

  10. Conconi, M., Leardini, A., Parenti-Castelli, V.: Joint kinematics from functional adaptation: a validation on the tibio-talar articulation. J. Biomech. 48(12), 2960–2967 (2015)

    Article  Google Scholar 

  11. Conconi, M., Sancisi, N., Parenti-Castelli, V.: Prediction of individual knee kinematics from an MRI representation of the articular surfaces. IEEE Trans. Biomed. Eng. 68(3), 1084–1092 (2020)

    Article  Google Scholar 

  12. Smale, K.B., et al.: Effect of implementing magnetic resonance imaging for patient-specific OpenSim models on lower-body kinematics and knee ligament lengths. J. Biomech. 83, 9–15 (2019)

    Article  Google Scholar 

  13. Martelli, S., et al.: The relationship between tibiofemoral geometry and musculoskeletal function during normal activity. Gait Posture 80, 374–382 (2020)

    Article  Google Scholar 

  14. Conconi, M., Montefiori, E., Sancisi, N., Mazzà, C.: Modeling musculoskeletal dynamics during gait: evaluating the best personalization strategy through model anatomical consistency. Appl. Sci. 11(18), 8348 (2021)

    Article  Google Scholar 

  15. Conconi, M., Sancisi, N., Parenti-Castelli, V.: The geometrical arrangement of knee constraints that makes natural motion possible: theoretical and experimental analysis. J. Biomech. Eng. 141(5), 051001 (2019)

    Article  Google Scholar 

  16. Conconi, M., Sancisi, N., Parenti-Castelli, V.: The geometrical arrangement of joint constraints that makes natural motion possible: experimental verification on the ankle. In: Lenarčič, J., Siciliano, B. (eds.) ARK 2020. SPAR, vol. 15, pp. 109–116. Springer, Cham (2021). https://doi.org/10.1007/978-3-030-50975-0_14

  17. Forlani, M., Sancisi, N., Conconi, M., Parenti-Castelli, V.: A new test rig for static and dynamic evaluation of knee motion based on a cable-driven parallel manipulator loading system. Meccanica 51(7), 1571–1581 (2015). https://doi.org/10.1007/s11012-015-0124-1

    Article  MATH  Google Scholar 

  18. Tashman, S., Anderst, W.: In-vivo measurement of dynamic joint motion using high speed biplane radiography and CT: application to canine ACL deficiency. J. Biomech. Eng. 125(2), 238–245 (2003)

    Article  Google Scholar 

  19. Grood, E.S., Suntay, W.J.: A joint coordinate system for the clinical description of three-dimensional motions: application to the knee. J. Biomech. Eng. 105(2), 136–144 (1983)

    Article  Google Scholar 

  20. Braz, P., Silva, W.: Meniscus morphometric study in humans. J. Morphol. Sci. 27(2), 62–66 (2010)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Michele Conconi .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Conconi, M., Sancisi, N., Parenti-Castelli, V. (2022). Exploiting Reciprocity Between Constraints and Instantaneous Motion to Reconstruct Individual Knee Kinematics. In: Altuzarra, O., Kecskeméthy, A. (eds) Advances in Robot Kinematics 2022. ARK 2022. Springer Proceedings in Advanced Robotics, vol 24. Springer, Cham. https://doi.org/10.1007/978-3-031-08140-8_40

Download citation

Publish with us

Policies and ethics