Abstract
This paper outlines an extension of Krausz' (1975) approach to nonlinear analysis of physiological systems with random impulse train inputs. This extension concerns multiple (here two) inputs and spike train outputs in addition to analogue outputs. The respective theoretical formula are given, and the approach is illustrated by experimental data relating to the nonlinear interaction of cat motor units activated with random pulse trains. As outputs are considered muscle tension (as an example for an analogue signal) and discharge frequency of a Ia fibre (as an example for a spike output).
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Krausz, H.I.: Identification of nonlinear systems using random impulse train inputs. Biol. Cybern.19, 217–230 (1975)
Marmarelis, P.Z., Marmarelis, V.Z.: Analysis of physiological systems: the white noise approach. New York: Plenum Press 1978
Parmiggiani, F., Stein, R.B., Rolf, R.: Slow changes and Wiener analysis of nonlinear summation in contractions of cat muscles. Biol. Cybern.42, 177–188 (1982)
Perkel, D.H., Gerstein, G.L., Moore, G.P.: Neuronal spike trains and stochastic point processes. I. The single spike train. Biophys. J.7, 391–418 (1967a)
Perkel, D.H., Gerstein, G.L., Moore, G.P.: Neuronal spike trains and stochastic processes. II. Simultaneous spike trains. Biophys. J.7, 419–440 (1967b)
Schwestka, R., Windhorst, U., Schaumberg, R.: Patterns of parallel signal transmission between multiple alpha efferents and multiple Ia afferents in the cat semitendinosus muscle. Exp. Brain Res.43, 34–46 (1981)
Windhorst, U., Schwestka, R.: Interactions between motor units in modulating discharge patterns of primary muscle spindle endings. Exp. Brain Res.45, 417–427 (1982)
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Windhorst, U., Niemann, U. & Koehler, W. Analysis of nonlinear physiological systems with single or multiple spike inputs and analogue or spike outputs. Biol. Cybern. 48, 159–163 (1983). https://doi.org/10.1007/BF00318083
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DOI: https://doi.org/10.1007/BF00318083