For a binding neuron with threshold 2 stimulated by a Poisson stream, we determine the intensity of the output stream and the probability density for the lengths of the output interpulse intervals. For threshold 3, we determine the intensity of the output stream.
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O. K. Vidybida, “Inhibition as a binding controller at the single neuron level,” Dopov. Nats. Akad. Nauk Ukr., No. 10, 161–164 (1996).
A. K. Vidybida, “Inhibition as binding controller at the single neuron level,” Biosystems, 48, 263–267 (1998).
A. L. Hodgkin and A. F. Huxley, “A quantitative description of membrane current and its application to conduction and excitation in nerve,” J. Physiol., 125, 221–224 (1952).
J. P. Segundo, D. Perkel, H. Wyman, H. Hegstad, and G. P. Moore, “Input-output relations in computer-simulated nerve cells,” Kybernetik, 4, 157–171 (1968).
A. F. Zaritskii, “On the mathematical theory of representation of information in neural networks,” Ukr. Mat. Zh., 47, No. 12, 1706–1707 (1995).
B. V. Hnedenko, A Course in Probability Theory [in Ukrainian], Radyans’ka Shkola, Kyiv (1950).
A. Ya. Khinchin, Mathematical Methods of Queuing Theory [in Russian], Mathematical Institute, Academy of Sciences of the USSR, Moscow (1955).
D. Alimov, “Three examples of Markov functionals,” Ukr. Mat. Zh., 44, No. 3, 299–304 (1992).
A. N. Kolmogorov, Foundations of Probability Theory [in Russian], Nauka, Moscow (1974).
W. Feller, An Introduction to Probability Theory and Its Applications, Vol. 2, Wiley, New York (1966).
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 12, pp. 1619–1638, December, 2007.
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Vidybida, O.K. Output stream of a binding neuron. Ukr Math J 59, 1819–1839 (2007). https://doi.org/10.1007/s11253-008-0028-5