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A Continuous and Differentiable Mechanical Model of Muscle Force and Impedance

  • Matthew Millard
  • David Franklin
  • Walter Herzog
Conference paper
Part of the Biosystems & Biorobotics book series (BIOSYSROB, volume 22)

Abstract

No single muscle model exists that has the same mechanical impedance and force development properties as biological muscle. It is essential to develop a muscle model with the same force limitations and impedance as biological muscle, especially for predictive simulations, as these properties are taken into account when choosing a posture for a specific task. We propose a mechanics-based muscle model that has the same impedance and force development properties as biological muscle by making a small topology change that turns titin, an enormous viscoelastic protein, from acting in parallel to the cross-bridges to acting in series with the cross-bridges.

References

  1. 1.
    Trumbower, R.D., Krutky, M.A., Yang, B.S., Perreault, E.J.: Use of self-selected postures to regulate multi-joint stiffness during unconstrained tasks. PloS One 4(5), e5411 (2009)CrossRefGoogle Scholar
  2. 2.
    Millard, M., Uchida, T., Seth, A., Delp, S.L.: Flexing computational muscle: modeling and simulation of musculotendon dynamics. J. Biomech. Eng. 135(2), 021005 (2013)CrossRefGoogle Scholar
  3. 3.
    van den Bogert, A.J., Gerritsen, K.G.M., Cole, G.K.: Human muscle modelling from a user’s perspective. J. Electromyogr. Kinesiol. 8(2), 119–124 (1998)CrossRefGoogle Scholar
  4. 4.
    Tee, K.P., Burdet, E., Chew, C.M., Milner, T.E.: A model of force and impedance in human arm movements. Biol. Cybern. 90(5), 368–375 (2004)CrossRefGoogle Scholar
  5. 5.
    McGowan, C.P., Neptune, R.R., Herzog, W.: A phenomenological model and validation of shortening-induced force depression during muscle contractions. J. Biomech. 43(3), 449–454 (2010)CrossRefGoogle Scholar
  6. 6.
    Herzog, W., Leonard, T.R.: Force enhancement following stretching of skeletal muscle: a new mechanism. J. Exp. Biol. 205(9), 1275–1283 (2002)Google Scholar
  7. 7.
    Krylow, A.M., Sandercock, T.G.: Dynamic force responses of muscle involving eccentric contraction. J. Biomech. 30(1), 27–33 (1997)CrossRefGoogle Scholar
  8. 8.
    Herzog, J.A., Leonard, T.R., Jinha, A., Herzog, W.: Are titin properties reflected in single myofibrils? J. Biomech. 45(11), 1893–1899 (2012)CrossRefGoogle Scholar
  9. 9.
    Schappacher-Tilp, G., Leonard, T.R., Desch, G., Herzog, W.: A novel three-filament model of force generation in eccentric contraction of skeletal muscles. PLoS One 10(3), e0117634 (2015)CrossRefGoogle Scholar
  10. 10.
    Gregorio, C.C., et al.: The NH2 terminus of titin spans the Z-disc: its interaction with a novel 19-kD ligand (T-cap) is required for sarcomeric integrity. J. Cell Biol. 143(4), 1013–1027 (1998)CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Matthew Millard
    • 1
  • David Franklin
    • 2
  • Walter Herzog
    • 3
  1. 1.Optimization, Robotics and Biomechanics GroupHeidelberg UniversityHeidelbergGermany
  2. 2.Neuromuscular Diagnostics GroupTechnical University of MunichMunichGermany
  3. 3.Human Performance LaboratoryUniversity of CalgaryCalgaryCanada

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