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Mathematical modeling of fluctuations of the neuronal membrane potential during activation of exciting and inhibiting synapses

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Abstract

A probabilistic model of impulse activation of single neurons is proposed. The mean membrane potential and its limiting values are determined for the case when the impulses reaching the exciting and inhibiting synapses form a Poisson input or an arbitrary renewal process.

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Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 139–152, July–August, 1991.

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Borisova, O.V., Petunin, Y.I. Mathematical modeling of fluctuations of the neuronal membrane potential during activation of exciting and inhibiting synapses. Cybern Syst Anal 27, 599–612 (1991). https://doi.org/10.1007/BF01130372

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  • DOI: https://doi.org/10.1007/BF01130372

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