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The use of frequency domain techniques in the study of signal transmission in skeletal muscle

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Abstract

Spectral analysis provides a description of the moments of random signals and enables the characterization of the behaviour of systems in terms of input-output relations. The merits of such an approach in the study of signal transmission in skeletal muscle are described in this paper. The representation of neural spike trains as impulse sequences and the subsequent treatment appropriate for this kind of analysis are discussed together with some practical problems. Spectral analysis of muscle afferent signals is applied to data obtained from cat experiments, and the use of the related frequency-domain techniques is demonstrated on a subsystem of the stretch reflex.

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References

  1. Bartlett MS (1963) The spectral analysis of point processes. J R Soc Med B 25:264–280

  2. Bendat JS, Piersol AG (1971) Random data: analysis and measurement procedures. Wiley-Interscience. New York London Sydney Toronto

  3. Binder MD, Stuart DG (1980) Responses of la and spindle group II afferents to single motor unit contractions. J Neurophysiol 43:621–629

  4. Binder MD, Kroin JS, Moore GP, Stauffer EK, Stuart DG (1976) Correlation analysis of muscle spindle responses to single motor unit contractions. J Physiol [Lond] 257:325–336

  5. Christakos CN, Rost I, Windhorst U (1983) Modulation of muscle stretch receptor discharge by motor unit activity in the cat as revealed by spectral analysis. J Physiol [Lond] 341:17–18P

  6. Cleveland S, Ross H-G (1977) Dynamic properties of Renshaw cells: frequency response characteristics. Biol Cybern 27:175–184

  7. Cox DR, Lewis PAW (1966) The statistical analysis of series of events. Methuen, London

  8. French SA, Holden AV (1971) Alias-free sampling of neuronal spike trains. Kybernetik 8:165–171

  9. French SA, Holden AV, Stein RB (1972) The estimation of the frequency response function of a mechanoreceptor. Kybernetik 11:15–23

  10. Hasan Z, Houk JC (1975) Analysis of response properties of deefferented mammalian spindle receptors based on frequency response. J Neurophysiol 38:663–672

  11. Krausz HI (1975) Identification of nonlinear system using random impulse train inputs. Biol Cybern 19:217–230

  12. Lago PJA, Jones NB (1982) Note on the spectral analysis of neural spike trains. Med Biol Eng Comput 20:44–48

  13. Lange GD, Hartline PH (1979) Fourier analysis of spike train data. Biol Cybern 34:31–34

  14. Mannard A, Stein RB (1973) Determination of the frequency response of isometric soleus muscle in the cat using random nerve stimulation. J Physiol [Lond] 229:275–296

  15. Matoušek M (1973) Frequency and correlation analysis. Handbook of electroencephalography and clinical neurophysiology, vol 5, part A. Elsevier, Amsterdam

  16. Matthews PBC, Stein RB (1969) The sensitivity of muscle spindle afferents to small sinusoidal changes of length. J Physiol [Lond] 200:723–743

  17. McKeon B, Burke D (1983) Muscle spindle discharge in response to contraction of single motor units. J Neurophysiol 49:291–302

  18. Moore GP, Segundo JP, Perkel DH, Levitan H (1970) Statistical signs of synaptic interactions in neurons. Biophys J 10:876–900

  19. Otnes RK, Enochson L (1972) Digital time series analysis. Wiley, New York

  20. Papoulis A (1962) The Fourier integral and its applications. McGraw-Hill Book Co Inc, New York San Francisco London Toronto

  21. Papoulis A (1965) Probability, random variables and stochastic processes. McGraw-Hill Book Co Inc, London

  22. Perkel DH (1970) Spike trains as carriers of information. In: Schmitt FO (ed) The Neurosciences, Rockefeller University Press, New York, pp 587–596

  23. Poppele RE, Bowman RJ (1970) Quantitative description of linear behaviour of mammalian muscle spindles. J Neurophysiol 33:59–72

  24. Rabiner LR, Gold B (1975) Theory and application of digital signal processing. Prentice-Hall Inc, Englewood Cliffs NJ

  25. Rosenthal NP, McKean TA, Roberts WJ, Terzuolo CA (1970) Frequency analysis of the stretch reflex and its main subsystems in triceps surae muscle of the cat. J Neurophysiol 33:713–749

  26. Schild D (1982) An efficient method for the Fourier transform of a neuronal spike train. Int J Neurosci 17:179–182

  27. Schwestka R, Windhorst U, Schaumberg R (1981) Patterns of parallel signal transmission between multiple alpha efferents and multiple I afferents in the cat semitendinosus muscle. Exp Brain Res 43:34–46

  28. Stein RB, French AS, Holden AV (1972a) The frequency response, coherence and information capacity of two neuronal models. Biophys J 12:295–322

  29. Stein RB, French AS, Mannard A, Yemm R (1972b) New methods for analysing motor function in man and animals. Brain Res 40:187–192

  30. Windhorst U, Schwestka R (1982) Interactions between motor units in modulating discharge patterns of primary muscle spindle endings. Exp Brain Res 45:417–427

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Correspondence to C. N. Christakos.

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Christakos, C.N., Rost, I. & Windhorst, U. The use of frequency domain techniques in the study of signal transmission in skeletal muscle. Pflugers Arch. 400, 100–105 (1984). https://doi.org/10.1007/BF00670543

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Key words

  • Spike train
  • Spectral analysis
  • Coherence
  • Frequency response
  • Motor unit
  • Muscle spindle