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Dual stable point model of muscle activation and deactivation

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Abstract

Two dynamic models of muscle activation and deactivation based on the concepts of ion transport, reaction rates, and muscle mechanics are proposed. Storage release and uptake of calcium by the sarcoplasmic reticulum, and a two-step chemical reaction of calcium and troponin are included in the first model. This is a concise version of the complex chemical reactions of muscle activation and deactivation in sarcoplasm. The second model is similar to the first, but calcium-troponin reactions are simplified into two nonlinear rates functions. Due to these nonlinear dynamics, the second model can explain the catch-like enhancement of isometric force response. Simulation results which match experimental data are shown. Also, two new phenomena which need further experiment to verify are predicted by the second model.

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References

  • Aidley DJ (1971a) The organization of muscle cells. In: The physiology of excitable cells, chap 11. Cambridge University Press, Cambridge

    Google Scholar 

  • Aidley DJ (1971b) The dynamics of muscular contraction. In: The physiology of excitable cells, chap 12. Cambridge University Press, Cambridge

    Google Scholar 

  • Almers W (1989) Excitation-contraction coupling in skeletal muscle. In: Textbook of physiology, vol 1: excitable cells and neurophysiology, chap 7, 21st edn. Seattle, Washington

  • Baldissera F, Parmiggiani F (1975) Relevance of motoneuronal firing adaptation to tension development in the motor unit. Brain Res 91:315–320

    Google Scholar 

  • Burke RE, Rudomin P, Zajac FE (1970) Catch property in single mammalian motor units. Science 168:122–124

    Google Scholar 

  • Burke RE, Rudomin P, Zajac FE (1976) The effect of activation history on tension production by individual muscle units. Brain Res 109:515–529

    Google Scholar 

  • Ebashi S, Endo M (1968) Calcium ion and muscle contraction. Prog Biophys Mol Biol 18:123–183

    Google Scholar 

  • Gordon AM (1989a) Molecular basis of contraction. In: Textbook of physiology, vol 1: excitable cells and neurophysiology, chap 8, 21st edn. Seattle, Washington

  • Gordon AM (1989b) Contraction in skeletal muscle. In: Textbook of physiology, vol 1: excitable cells and neurophysiology, chap 9, 21st edn. Seattle, Washington

  • Gurfinkel VS, Levik YS (1974) Effects of doublet or omission and their connexion with the dynamics of the active state of human muscles. Problems of information transmission. USSR Academy of Sciences, Moscow

    Google Scholar 

  • Hannaford B (1990) A nonlinear model of the phasic dynamics of muscle activation. IEEE Trans Biomed Eng 37:1067–1075

    Google Scholar 

  • Hannaford B, Kim WS, Lee SH, Stark L (1986) Neurological control of head movements: inverse modeling and electromyographic evidence. Math Biosci 78:159–178

    Google Scholar 

  • Hannaford B, Stark L (1985) Roles of the elements of the tri-phasic control signal. Exp Neurol 90:619–634

    Google Scholar 

  • Hannaford B, Stark L (1987) Late agonist burst (PC) required to optimal head movement: a simulation study. Biol Cybern 57:321–330

    Google Scholar 

  • Hodgkin AL, Huxley AF (1952) A quantitative description of membrane currents and its application to conduction and excitation in nerve. J Physiol 117:500–544

    Google Scholar 

  • Huxley AF (1957) Muscle structure and theories of contraction. Prog Biophys Biophys Chem 7:255–318

    Google Scholar 

  • Lehman SL (1982) A detailed biophysical model of human extraocular muscle. Dissertation of Doctor of Philosophy in Biophysics of the University of California, Berkeley

  • Ling G (1992) A revolution in the physiology of the living cell: and beyond. Krieger, Melbourne, Florida

    Google Scholar 

  • Pollack GH (1990) Muscles & molecules: uncovering the principles of biological motion, Seattle, Washington

  • Pringle J (1949) The excitation and contraction of the flight muscles of insects. J Physiol 149:29–30

    Google Scholar 

  • Zahalek G (1990) Modeling muscle mechanics. In: Winters J, Woo S (eds) Multiple muscle systems. Springer, Berlin Heidelberg New York

    Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Electrical Engineering, University of Washington, FT-10, 98195, Seattle, WA, USA

    Ching-Ping Chou & Blake Hannaford

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  1. Ching-Ping Chou
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  2. Blake Hannaford
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Chou, CP., Hannaford, B. Dual stable point model of muscle activation and deactivation. Biol. Cybern. 66, 511–523 (1992). https://doi.org/10.1007/BF00204116

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  • DOI: https://doi.org/10.1007/BF00204116

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