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Stochastic properties of motoneuron activity and the effect of muscular length

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Abstract

The activity of single motor units contributing to small tonic isometric contractions in human muscle at different muscular lengths was analyzed. The form of motor unit firing patterns shows that the interspike intervals compose independent sequences with about a 10% coefficient of variation and have a gamma distribution. The variability and the distribution shape curves show that as the mean interval decreases the variance also decreases and the interval density function becomes more symmetric. More significant is the fact that the form of the firing pattern remains unchanged when a motor unit has the same mean interval but with the muscle at different lengths. Comparison of these facts with experimental data from neuron models and cat motoneurons indicates that in the human the only relevant input-output relationship in motoneurons is that the net excitation adjusts the firing rate.

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References

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

    Google Scholar 

  • Bracchi, F., Decandia, M., Gualtierotti, T.: Frequency stabilization in the motor centers of spinal cord and caudal brain stem. Amer. J. Physiol.210, 1170–1177 (1966)

    Google Scholar 

  • Burke, R.E., Nelson, P.G.: Synaptic activity in motoneurons during natural stimulation of muscle spindles. Science151, 1088–1090 (1966)

    Google Scholar 

  • Calvin, H., Stevens, C.F.: Synaptic noise and other sources of randomness in motoneuron interspike intervals. J. Neurophysiol.31, 574–587 (1968)

    Google Scholar 

  • Clamann, H.: Statistical analysis of motor unit firing patterns in a human skeletal muscle. Biophysics9, 1233–1251 (1969)

    Google Scholar 

  • Close, J.R., Nickel, E.D., Todd, F.N.: Motor-unit action-potential counts. J. Bone Jt. Surg.42-A, 1207–1222 (1960)

    Google Scholar 

  • Cox, D.R., Lewis, P.A.W.: The statistical analysis of series of events. London: Methuen & Co., 1968

    Google Scholar 

  • Dasgupta, A., Simpson, J.A.: Relation between firing frequency of motor units and muscle tension in the human. Electromyography2, 117–128 (1961)

    Google Scholar 

  • DeLuca, C., Forrest, W.: Some properties of motor unit action potentials recorded during constant force isometric contractions in man. Kybernetik12, 160–168 (1973)

    Google Scholar 

  • Elderton, W., Johnson, N. L.: Systems of frequency curves. Cambridge: University Press 1969

    Google Scholar 

  • Fisz, M.: Probability theory and mathematical statistics. New York: John Wiley & Sons 1967

    Google Scholar 

  • Herman, R., Schaumburg, H., Reiner, S.: A rotational joint apparatus: A device for study of tension-length relations of human muscle. Med. Res. Eng.4, 18 (1967)

    Google Scholar 

  • Kendall, M.G., Stuart, A.: The advanced theory of statistics, Vol. B., New York: Hafner Publishing Co. 1966

    Google Scholar 

  • Leifer, L.J.: Characterization of single muscle fiber discharge during voluntary isometric contraction of the biceps brachii muscle in man. Diss. submitted to Stanford University for the degree of Doctor of Philosophy, Stanford, California, 119 pages, June, 1969

  • Lippold, O., Redfearn, J., Vuco, J.: The frequency analysis of tremor in normal and thyroxic subjects. Clin. Sci.18, 587–595 (1959)

    Google Scholar 

  • Marschiafava, P.L.: Activities of the central nervous system: Motor. Ann. Rev. Physiol.30, 359–400 (1968)

    Google Scholar 

  • Masland, W., Sheldon, D., Hershey, C.: Stochastic Properties of Individual Motor Unit Interspike Intervals. Amer. J. Physiol.217, 1384–1388 (1969)

    Google Scholar 

  • Monster, A.W.: Basic aspects of the communication problem in the clinical use of assistive devices. A dissertation submitted to Case Western Reserve University for the degree of Doctor of Philosophy, Cleveland, Ohio, 182 pages, January, 1970

  • Mori, S.: Discharge patterns of soleus motor units with associated changes in force exerted by foot during quiet stance in Man. J. Neurophysiol.36, 458–471 (1972)

    Google Scholar 

  • Person, R., Kudina, L.: Discharge frequency and discharge pattern of human motor units during voluntary contraction of muscle. Electroenceph. Clin. Neurophysiol.32, 471–483 (1972)

    Google Scholar 

  • Petajan, J.H., Philip, B.A.: Frequency control of motor unit action potentials. Electroenceph. Clin. Neurophysiol.27, 66–72 (1969)

    Google Scholar 

  • Petrov, A.A.: Statistical character of impulse transmission in the nervous system. Biofizika14, 143–154 (1969)

    Google Scholar 

  • Quenouille, M.H.: Notes on the calculation of autocorrelations of linear autoregressive schemes. Biometrika27, 365–367 (1947)

    Google Scholar 

  • Rack, P.M.H., Westbury, D.R.: The effects of length stimulus rate on tension in the isometric cat soleus muscle. J. Physiol. (Lond.)204, 443–460 (1969)

    Google Scholar 

  • Redman, S.J., Lampard, D.G.: Monosynaptic stochastic stimulation of cat spinal motoneurons. I. Response of motoneurons to sustained stimulation. J. Neurophysiol.31, 485–498 (1968)

    Google Scholar 

  • Redman, S.J., Lampard, D.G., Annal, P.: Monosynaptic stochastic stimulation of cat spinal motoneurons. II. Frequency transfer characteristics of tonically discharging motoneurons. J. Neurophysiol.31, 499–508 (1968)

    Google Scholar 

  • Segundo, J.P., Perkel, D.H., Wyman, H., Hegstad, H., Moore, G.P.: Input-output relations in computer-simulated nerve cells. Influence of the statistical properties, strength, number and inter-dependence of excitatory presynaptio terminals. Kybernetik4, 157–171 (1968)

    Google Scholar 

  • Segundo, J.P., Perkel, D.H.: The nerve cell as an analyzer of spike trains. The interneuron, M.A.B. Brazier (Ed.) Berkley and Los Angeles, Calif.: University of California Press 1969

    Google Scholar 

  • Shiavi, R.: A wire multi-electrode for intramuscular recording. Med. Biol. Eng.12, 721–723 (1974)

    Google Scholar 

  • Shiavi, R., Negin, M.: The effect of measurement errors on correlation estimates in spike interval sequences. IEEE Trans. Biomed. Eng.20, 374–378 (1973)

    Google Scholar 

  • Shiavi, R., Negin, M.: Design considerations for and development of a spike data reduction system

  • Stein, R.B.: Some models of neuronal veraibility. Biophys. J.7, 37–68 (1967)

    Google Scholar 

  • Sugiyama, H., Moore, G.P., Perkel, D.H.: Solutions for a stochastic model of neuronal spike production. Math. Biosci.8, 323–341 (1970)

    Google Scholar 

  • Terzuolo, C.A., Llinas, R.: Distribution of synaptic inputs in the spinal motoneuron and its functional significance. Muscular afferents and motor control. R. Granit (Ed.), New York: J. Wiley & Sons 1966

    Google Scholar 

  • Vallbo, A.B.: Slowly adapting muscle receptors in man. Acta physiol. scand.78, 315–333 (1970)

    Google Scholar 

  • Wald, A., Wolfowitz, J.: An exact test for randomness in the non-parametric case based on serial correlation. Ann. Math. Statist.14, 378–388 (1943)

    Google Scholar 

  • Wilson, J.: Regulation and function of renshaw cell discharge. Muscular afferents and motor control. R. Granit (Ed.), New York: J. Wiley & Sons 1966

    Google Scholar 

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This work was supported in part by the Social Rehabilitation Service through the Krusen Research Center, Temple University, Philadelphia, Pennsylvania, while Dr. Shiavi was with the Krusen Research Center and Biomedical Engineering and Science Program, Drexel University, Philadelphia, Pennsylvania.

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Shiavi, R., Negin, M. Stochastic properties of motoneuron activity and the effect of muscular length. Biol. Cybernetics 19, 231–237 (1975). https://doi.org/10.1007/BF02281973

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