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Analysis of transmission at interneuronal synapses using a convolution of binomial distributions

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Analysis of discrete distributions of basic EPSP amplitudes at sensorimotor, proprio- and reticulo-motoneuronal synapses in the frog by means of the convolution of two binomial distributions revealed that the number of transmitter release sites operating was greater than that calculated by means of binomial distribution. Probability levels of transmitter release sites responding in unison to nerve impulses are dissimilar (at not more than 0.1–0.3) and remained constant. Interference with the release mechanism induced blockade of release sites. Impairment of the process triggering transmitter release produced a sharp decline in the probability of release sites operating in unison.

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Literature Cited

  1. B. I. Balanter, Probability Methods in Physiology [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  2. A. G. Bart and V. M. Kozhanov, Modeling Synaptic Transmission by a System of Extended Binomial Distributions [in Russian], Biomedical Cybernetics-85, Nauka, Leningrad (1986), pp. 12–14.

    Google Scholar 

  3. A. G. Bart, A. E. Dityatev, and V. M. Kozhanov, “Quantal analysis of postsynaptic potentials at interneuronal synapses: recovery of a signal from noise,” Neirofiziologiya,20, No. 4, 479–487 (1988).

    Google Scholar 

  4. A. L. Babalian and N. M. Chmyckova, “Morphophysiological description of connections between single ventrolateral tract fibers and individual motoneurones in frog spinal cord,” Brain Res.,407, No. 2, 394–397 (1987).

    Google Scholar 

  5. E. F. Barrett and C. F. Stevens, “Quantal independence and uniformity of presynaptic release kinetics at the frog neuromuscular junction,” J. Physiol.,227, No. 3, 665–689 (1972).

    Google Scholar 

  6. M. R. Bennett and N. A. Lavidis, “The effect of calcium ions on the secretion of quanta evoked by an impulse at nerve terminal release sites,” J. Gen. Physiol.,74, No. 4, 429–456 (1979).

    Google Scholar 

  7. G. D. Bittner and J. Harrison, “A reconsideration of the Poisson hypothesis for transmitter release at the crayfish neuromuscular junction,” J. Physiol.,206, No. 1, 1–23 (1970).

    Google Scholar 

  8. T. J. Brown, D. H. Perkel and M. W. Feldman, “Evoked transmission release: statistical effect of nonuniformity and nonstationarity,” Proc. Natl. Acad. Sci., USA,73, No. 8, 2913–2917 (1976).

    Google Scholar 

  9. R. E. Burke and P. Rudomin, “Spinal neurons and synapse,” In: Handbook of Physiology, Vol. 1, Pt. 2 (1977), pp. 877–944.

  10. J. B. Del Castillo and B. Katz, “Quantal components of the end-plate potential,” J. Physiol.,124, No. 3, 560–573 (1954).

    Google Scholar 

  11. J. B. Del Castillo and B. Katz, “Biophysical aspects of neuromuscular transmission,” Progr. Biophys. Biochem. Chem.,6, No. 1, 121–170 (1956).

    Google Scholar 

  12. A. C. Dolphin and R. H. Scott, “Inhibition of calcium current in cultured rat dorsal root ganglion neuron by (−)-baclofen,” Br. J. Pharmacol.,88, No. 1, 213–220 (1986).

    Google Scholar 

  13. J. Dudel, “Transmitter release from nerve terminals evoked by depolarization pulses contains a short phase of repression,” Pflügers Arch.407, No. 2, 134–141 (1986).

    Google Scholar 

  14. J. C. Eccles, “Do mental events cause neural events analogously to the probability of quantum mechanics?”, Proc. R. Soc., London, Ser. B.,227, No. 1249, 411–428 (1986).

    Google Scholar 

  15. R. Grantyn, A. I. Shapovalov, and B. I. Shiriaev,” Tracing of frog sensory-motor synapses by intracellular injection of horseradish peroxidase,” J. Physiol.,349, 441–458 (1984).

    Google Scholar 

  16. R. Grantyn, A. I. Shapovalov, and B. I. Shiriaev, “Relation between structural and release parameters at the frog sensory-motor synapse,” J. Physiol.,349, 459–474 (1984).

    Google Scholar 

  17. J. J. B. Jack, S. J. Redman, and K. Wong, “Modifications to synaptic transmission at group la synapses on cat spinal motoneurones by 4-aminopyridine,” J. Physiol.,321, 111–126 (1981).

    Google Scholar 

  18. H. Korn, A. Mallet, A. Triller, and D. S. Faber, “Transmission at a central inhibitory synapse. 2. Quantal description of release with a physical correlate for binomial n,” J. Neurophysiol.,48, No. 3, 679–707 (1982).

    Google Scholar 

  19. D. H. Perkel and M. W. Feldman, “Neurotransmitter release statistics: moment estimates for inhomogeneous Bernoulli trials,” J. Math. Biol.,7, No. 1, 31–40 (1979).

    Google Scholar 

  20. H. Parnas, J. Dudel, and I. Parnas, “Neurotransmitter release and its facilitation in crayfish. 7. Another voltage dependent process beside Ca entry controls the time course of phasic release,” Pflugers Arch.,406, No. 1, 121–130 (1986).

    Google Scholar 

  21. A. I. Shapovalov and B. I. Shiriaev, “Dual mode of junctional transmission at synapses between single primary afferent fibres and motoneurones in the amphibian,” J. Physiol.,306, 1–15 (1980).

    Google Scholar 

  22. A. I. Shapovalov and B. I. Shiriaev, “Selective modulation of chemical transmission at a dual-action synapse (with special reference to baclofen),” J. Gen. Physiol. Biophys.,1, No. 3, 423–433 (1982).

    Google Scholar 

  23. L. Stjärne and P. Astrand, “Discrete events measure single quanta of adenosine 5-triphosphate secreted from sympathetic nerve of guinea pig and mouse vas deferens,” Neuroscience,13, No. 1, 21–28 (1984).

    Google Scholar 

  24. D. J. Tracey and B. Walmsley, “Synaptic input from identified muscle afferents to neurons of the dorsal spinocerebellar tract in the cat,” J. Physiol.,350, 599–614 (1984).

    Google Scholar 

  25. A. Triller and H. Korn, “Transmission at a central inhibitory synapse. III. Ultrastructure of physiologically identified and stained terminals,” J. Neurophysiol.,48, No. 3, 708–736 (1982).

    Google Scholar 

  26. R. S. Zucker, “Changes in the statistics of transmitter release during facilitation,” J. Physiol.,229, No. 4, 787–810 (1973).

    Google Scholar 

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A. A. Zhdanov State University, Leningrad; I. M. Sechenov Institute of Evolutionary Physiology and Biochemistry, Academy of Sciences of the USSR, Leningrad. Translated from neirofiziologiya, Vol. 20, No. 4, pp. 487–494, July–August, 1988.

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Bart, A.G., Dityatev, A.É. & Kozhanov, V.M. Analysis of transmission at interneuronal synapses using a convolution of binomial distributions. Neurophysiology 20, 357–363 (1988). https://doi.org/10.1007/BF02198444

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  • DOI: https://doi.org/10.1007/BF02198444

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