Skip to main content
Log in

A Neuro-Muscular Elasto-Dynamic Model of the Human Arm Part 2: Musculotendon Dynamics and Related Stress Effects

  • Published:
Journal of Bionic Engineering Aims and scope Submit manuscript

Abstract

In this paper we develop an elasto-dynamic model of the human arm that includes effects of neuro-muscular control upon elastic deformation in the limb. The elasto-dynamic model of the arm is based on hybrid parameter multiple body system variational projection principles presented in the companion paper. Though the technique is suitable for detailed bone and joint modeling, we present simulations for simplified geometry of the bones, discretized as Rayleigh beams with elongation, while allowing for large deflections. Motion of the upper extremity is simulated by incorporating muscle forces derived from a Hill-type model of musculotendon dynamics. The effects of muscle force are modeled in two ways. In one approach, an effective joint torque is calculated by multiplying the muscle force by a joint moment arm. A second approach models the muscle as acting along a straight line between the origin and insertion sites of the tendon. Simple arm motion is simulated by utilizing neural feedback and feedforward control. Simulations illustrate the combined effects of neural control strategies, models of muscle force inclusion, and elastic assumptions on joint trajectories and stress and strain development in the bone and tendon.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Barhorst A A. Modeling hybrid parameter multiple body systems: A different approach. International Journal of Nonlinear Mechanics, 1995, 30, 1–21.

    Article  MATH  Google Scholar 

  2. Barhorst A A. On the efficacy of pseudo-coordinates — Part 1: Moving interior constraints. International Journal of Nonlinear Mechanics, 2004, 39, 123–135.

    Article  MATH  Google Scholar 

  3. Barhorst A A. On the efficacy of pseudo-coordinates — Part 2: Moving boundary constraints. International Journal of Nonlinear Mechanics, 2004, 39, 137–151.

    Article  MATH  Google Scholar 

  4. Barhorst A A. Systematic closed form modeling of hybrid parameter multiple body systems. International Journal of Nonlinear Mechanics, 2004, 39, 63–78.

    Article  MATH  Google Scholar 

  5. Barhorst A A, Schovanec L. A neuro-muscular elastodynamic model of the human arm — Part 1: Model development. Journal of Bionic Engineering, 2009, 6, 93–107.

    Article  Google Scholar 

  6. Munih M, Kralj A. Modelling muscle activity in standing with considerations for bone safety. Journal of Biomechanics, 1997, 30, 49–56.

    Article  Google Scholar 

  7. Markey K L. Stress fractures. Clinics in Sports Medicine, 1989, 6, 405–421.

    Google Scholar 

  8. Zajac F E. Muscle and tendon: Properties, models, scaling, and application to biomechanics and motor control. Critical Reviews in Biomedical Engineering, 1989, 17, 359–411.

    Google Scholar 

  9. He J P, Levine W S, Loeb G E. Feedback gains for correcting small perturbations to standing posture. IEEE Transactions on Automatic Control, 1991, 36, 321–332.

    Article  MATH  Google Scholar 

  10. Meador D. The Dynamics and Control of a Planar, Articulating Segmental Model, Master’s thesis, Texas Tech University, USA, 2000.

    Google Scholar 

  11. Zheng Y F, Hemami H. Muscle dynamics, size principle, and stability. IEEE Transactions on Biomedical Engineering, 1984, 31, 489–496.

    Article  Google Scholar 

  12. Nijhof E, Kouwenhoven E. Simulation of multi-joint arm movements. Journal of Biomechanical Systems, 1977, 20, 48–62.

    Google Scholar 

  13. Audu M L, Davy D T. The influence of muscle model complexity in musculoskeletal motion modeling. Journal of Biomechanical Engineering, 1985, 107, 147–157.

    Article  Google Scholar 

  14. DeWoody Y, Martin C, Schovanec L. A forward dynamic model of gait with application to stress analysis of bone. Journal of Mathematical and Computer Modeling, 2001, 33, 121–143.

    Article  MATH  Google Scholar 

  15. Polgar K, Gill H S, Viceconti M, Murray D W, O’Connor J J. Strain distribution within the human femur due to physiological and simplified loading: Finite element analysis using the muscle standardized femur model. Proceedings of the Institution of Mechanical Engineers, Part H, Journal of Engineering in Medicine, 2003, 217, 173–189.

    Article  Google Scholar 

  16. van der Helm F C T, Veenbaas R. Modeling the mechanical effect of muscles with large attachment sites: Application to the shoulder mechanism. Journal of Biomechanics, 1991, 24, 1151–1163.

    Article  Google Scholar 

  17. Pigeon P, Yahia L H, Feldman A G. Moment arms and lengths of human upper limb muscles as functions of joint angle. Journal of Biomechanics, 1996, 29, 1365–1370.

    Article  Google Scholar 

  18. van Zuylen E J, van Velzen A, Denier van der Gon J J. A biomechanical model for flexion torques of human arm muscles as a function of elbow angle. Journal of Biomechanics, 1988, 21, 183–190.

    Article  Google Scholar 

  19. Moody C B. A Neuro-Muscular Elasto-Dynamic Approach to Modeling Biomechanical Systems — The Human Upper Extremity, Master’s thesis, Texas Tech University, USA, 2004.

    Google Scholar 

  20. Pring D J, Amis A A, Coombs R R H. The mechanical properties of human flexor tendons in relation to artificial tendons. Journal of Hand Surgery (European Volume), 1985, 10, 331–336.

    Article  Google Scholar 

  21. Cooper D E, Deng X H, Burstein A L, Warren R F. The strength of the central third patellar tendon graft. American Journal of Sports Medicine, 1993, 21, 818–824.

    Article  Google Scholar 

  22. van der Perre G, Cornelissen P, On the mechanical resonances of a human tibia in vitro. Journal of Biomechanics, 1983, 16, 549–552.

    Article  Google Scholar 

  23. Abe H, Hayashi K, Sato M. Data Book on Mechanical Properties of Living Cells, Tissues, and Organs, Springer, Tokyo, 1996.

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Alan A. Barhorst.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Moody, C.B., Barhorst, A.A. & Schovanec, L. A Neuro-Muscular Elasto-Dynamic Model of the Human Arm Part 2: Musculotendon Dynamics and Related Stress Effects. J Bionic Eng 6, 108–119 (2009). https://doi.org/10.1016/S1672-6529(08)60108-0

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1016/S1672-6529(08)60108-0

Keywords

Navigation