Abstract
This paper deals with some properties of temporal pattern discrimination performed by single digital-computer simulated synaptic cells. To clarify these properties, the Shannon's entropy method which is a basic notion in the information theory and a fundamental approach for the design of pattern classification system was applied to input-output relations of the digital computer simulated synaptic cells. We used the average mutual information per symbol as a measure for the temporal pattern sensitivity of the nerve cells, and the average response entropy per symbol as a measure for the frequency transfer characteristics. To use these measures, the probability of a post-synaptic spike as a function of the recent history of pre-synaptic intervals was examined in detail. As the results of such application, it was found that the EPSP size is closely related to the pattern of impulse sequences of the input, and the average mutual information per symbol for EPSP size is given by a bimodal curve with two maximum values. One is a small EPSP size and the other is a large EPSP size. In two maximum points, the structure of the temporal pattern discrimination reverses each other. In addition, the relation between the mean frequency, or the form of impulse sequences of the input, and the average mutual information per symbol has been examined. The EPSP size at one maximum point of average mutual information is in inverse proportion to the magnitude of input mean frequency which relates to the convergence number of input terminal, while that at the other maximum point is proportional to that of the mean frequency. Moreover, the temporal pattern discrimination is affected remarkably by whether successive interspike intervals of the input are independent or not in the statistical sense. Computer experiments were performed by the semi-Markov processes with three typical types of transition matrixes and these shuffling processes. The average mutual informations in the cases of these semi-Markov processes are in contrast to those of the shuffling processes which provide a control case. The temporal structure of successive interspike intervals of the input is thus a significant factor in pattern discrimination at synaptic level.
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References
Cox, O.R.: Renewal theory. New York: Wiley 1966
Gerstein, G.L.: Mathematical model for the all or none activity of some neurons. IRE Trans. IT-8, 137–143 (1962)
Hermann, H.T., Olsen, R.E.: Dynamic statistics of crayfish caudal photoreceptors. Biophys. J. 7, 279–296 (1967)
Naylor, T.H., Balintfy, J.L., Burdick, D.S., Chu, K.: Computer simulation techniques. New York: Wiley 1966
Perkel, D.H., Gerstein, G.L., Moore, G.P.: Neural spike trains and stochastic point processes. 1. The single spike train. Biophys. J. 7, 391–418 (1967)
Segundo, J.P., Moore, G.P., Stensaas, L., Bullock, T.H.: Sensitivity of neurons in Aplysia to temporal patterns of arriving impulses. J. exp. Biol. 40, 643–667 (1963)
Segundo, J.P., Perkel, D.H., Moore, G.P.: Spike probability in neurons: Influence of temporal structure in the train of synaptic events. Kybernetik 3, 67–82 (1966)
Segundo, J.P., Perkel, D.H., Wyman, H., Hegstad, H., Moore, G.P.: Input-output relations in computer simulated nerve cells. Kybernetik 4, 157–171 (1968)
Smith, D.R., Smith, G.K.: A statistical analysis of the continual activity of single cortical neurons in the cat unanaesthetized isolated forebrain. Biophys. J. 5, 47–74 (1965)
Stein, R.B.: The information capacity of nerve cells using a frequency code. Biophys. J. 7, 797–826 (1967)
Ten Hoopen, M.: Multimodal interval distributions. Kybernetik 3, 17–24 (1966)
Tsukada, M., Sato, R.: Statistical analysis and functional interpretation of input-output relation in computer simulated nerve cells. Jap. J. med. Electron. 10, 370–378 (1972) (in Japanese)
Werner, G., Mountcastle, V.B.: Neural activity in mechanoreceptive cutaneous afferents-stimulus response relations, Weber functions and information transfer. J. Neurophysiol. 28, 359–397 (1965)
Wiersma, C.A.G., Adams, R.T.: The influence of nerve impulse sequence on the contractions of different crustacean muscles. Physiol. Comp. 2, 20–33 (1950)
Wilson, D.M.: Relative refractoriness and patterned discharge of locust flight motor neurons. J. exp. Biol. 41, 191–205 (1964)
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Tsukada, M., Ishii, N. & Sato, R. Temporal pattern discrimination of impulse sequences in the computer-simulated nerve cells. Biol. Cybernetics 17, 19–28 (1975). https://doi.org/10.1007/BF00326706
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DOI: https://doi.org/10.1007/BF00326706