Skip to main content
Log in

A model for a motor unit train recorded during constant force isometric contractions

  • Published:
Biological Cybernetics Aims and scope Submit manuscript

Abstract

A model for the motor-unit action-potential train is developed, based on previously obtained empirical information. The auto and cross-correlation functions are calculated. The autocorrelation function is used to derive the mean rectified value, the variance and the root-mean-squared value of a motor-unit action-potential train. These parameters are solved by using two approximations for the motor-unit action-potential; a piece-wise approximation and a Dirac Delta function approximation. The Dirac Delta function approximation sufficiently simplifies the mathematics so that the model can be extended to myoelectric signals. The cross-correlation function contains information about the synchronization of motorunit action-potential trains that may be useful as an objective indicator of muscle fatigue.

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. Basmajian,J.V., Cross,G.L.: Duration of motor unit potentials from fine-wire electrodes. Amer. J. Phys. Med. 50, 144–148 (1971)

    Google Scholar 

  2. Bernshtein,V.M.: Statisal parameters of the electric signal of a muscle model. Biophysics 12, 693–703 (1967a)

    Google Scholar 

  3. Bernshtein,V.M.: Modelling the electric signal of a group of muscle fibers. Biophysics 12, 1212–1218 (1967b)

    Google Scholar 

  4. Bigland,B., Lippold,O.C.J.: Motor unit activity in the voluntary contraction of human muscle. J. Physiol. 125, 322–335 (1954)

    Google Scholar 

  5. Brody,G., Balasubramanian,R., Scott,R.N.: A model for myoelectric signal generation. Med. Biol. Eng. 12, 29–41 (1974)

    Google Scholar 

  6. Buchthal,F., Gould,C., Rosenfalk,P.: Action potential parameters in normal human muscle and their dependence on physical variables. Acta Physiol. Scand. 32, 200–218 (1954)

    Google Scholar 

  7. Buchthal,F., gould,C., Rosenfalck,P.: Multielectrode study of the territory of a motor unit. Acta Physiol. Scand. 39, 83–104 (1957)

    Google Scholar 

  8. Clamann, P.H.: A quantitative analysis of the firing pattern of single motor units of a skeletal muscle of man, and their utilization in isometric contractions. Ph. D. Dissertation, John Hopkins 1967

  9. Coggshall,J.C., Bekey,G.A.: A stochastic model of skeletal muscle based on motor unit properties. Math. Biosc. 7, 405–419 (1970)

    Google Scholar 

  10. De Luca, C.J.: Myoelectric analysis of isometric contractions of the human biceps brachii. M. Sc. Thesis Fredericton, N.B., Canada: University of New Brunswick 1968

  11. De Luca,C.J., Forrest,W.J.: Some properties of motor unit action potential trains recorded during constant force isometric contractions in man. Kybernetik 12, 160–168 (1973)

    Google Scholar 

  12. Henneman,E., Somjen,G., Carpenter,D.O.: Functional significance of cell size in spinal motorneurons. J. Neurophysiol. 28, 560–580 (1965)

    Google Scholar 

  13. Knowlton,G.C., Bennett,R.C., McClure,R.: Electromyography of fatigue. Arch. Phys. Med. 32, 648–652 (1951)

    Google Scholar 

  14. Libkind,M.S.: II. Modelling of interference bioelectrical activity. Biofizika 13, 685–693 (1968)

    Google Scholar 

  15. Lindquist,C.: The motor unit potential in severely paretic muscles after acute anterior poliomyelitis. Acta Psychiat. Neurol. Scand. 34, Suppl. 131 (1959)

    Google Scholar 

  16. Lindström,L., Magnusson,R., Petersén,I.: Muscular fatigue and action potential conduction velocity changes studied with frequence analysis of EMG signals. Electromyography 10, 341–353 (1970)

    Google Scholar 

  17. Lindsley,D.B.: Electrical activity of human motor units during voluntary contraction. Amer. J. Physiol. 114, 90–99 (1935)

    Google Scholar 

  18. Lippold,O.C.J., Redfearn,J.W.T., Vučo,J.: The electromyography of fatigue. Ergonomics 3, 121–131 (1960)

    Google Scholar 

  19. Milner-Brown,H.S., Stein,R.B., Yemm,R.: The orderly recruitment of human motor units during voluntary isometric contractions. J. Physiol. 230, 359–370 (1973)

    Google Scholar 

  20. Morris,F.H.,Jr., Gasteiger,E.L.: Action potentials of single motor units in normal muscle. EEG Clin. Neurophysiol. 7, 115–126 (1955)

    Google Scholar 

  21. Person,R.S., Mishin,L.N.: Autor-und cross-correlation analysis of the electrical activity of muscles. Med. Electron Biol. Engng. 2, 155–159 (1964)

    Google Scholar 

  22. Petersén,I., Kugelberg,E.: Duration and form of action potential in the norman human muscle. J. Neurosurg. Psychiat. 12, 124–128 (1949)

    Google Scholar 

  23. Seyffarth,H.: The behaviour of motor units in voluntary contraction. Univ. of Oslo: Jacob Dybwad 1940

  24. Shiavi,R.: Control and interaction between motor units in a human skeletal muscle during isometric contractions. Ph. D. Dissertation Drexel University 1972

  25. Stålberg,E.: Propagation velocity in human muscle fibers in situ. Acta Physiol. Scand. 70, Suppl. 287 (1966)

    Google Scholar 

  26. Stern, M.M.: A model that relates low frequency EMG power to fluctuations in the number of active motor units: Application to local muscle fatigue. Ph. D. Dissertation, University of Michigan 1971

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

De Luca, C.J. A model for a motor unit train recorded during constant force isometric contractions. Biol. Cybernetics 19, 159–167 (1975). https://doi.org/10.1007/BF00337255

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00337255

Keywords

Navigation