Abstract
A probabilistic model of the impulse activity of single neurons is constructed, assuming that the excitatory neural synapses receive Poisson streams of nervous impulses. Differential equations are derived for the distribution function of the process describing variations of the membrane potential. A Laplace-transformed solution is obtained. The distribution of the number of excitatory postsynaptic potentials arriving at the neuron between impulse generation instants is determined.
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References
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Additional information
Kiev University. Translated from Vychislitel'naya i Prikladnaya Matematika, No. 75, pp. 115–120, 1991.
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Borisova, O.V. Determination of the main probabilistic characteristics of a process describing variations of the neuron membrane potential. J Math Sci 72, 3144–3148 (1994). https://doi.org/10.1007/BF01259487
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DOI: https://doi.org/10.1007/BF01259487