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On the moments of the firing interval of the diffusion approximated model neuron. (English) Zbl 0391.92005


MSC:

92B05 General biology and biomathematics
Full Text: DOI

References:

[1] Capocelli, R. M.; Ricciardi, L. M., Diffusion approximation and first passage time problem for a model neuron, Kybernetik, 8, 214-223 (1971), Heft 6 · Zbl 0224.92008
[2] Durbin, J., Boundary crossing probabilities for the Brownian motion and Poisson processes and techniques for computing the power of the Kolmogorov-Smirnov test, J. Appl. Probability, 8, 431-453 (1971) · Zbl 0225.60037
[3] Johannesma, P. I.M., Diffusion models for the stochastic activity of neurons, (Caianiello, E. R., Neural Networks (1968), Springer) · Zbl 0466.92006
[4] L.M. Ricciardi, Diffusion approximations to neural activity and to the time dependent threshold problem, in Proc. of the 3rd European Congress on Cybernetics and Systems Research, Vienna, Apr. 1976; L.M. Ricciardi, Diffusion approximations to neural activity and to the time dependent threshold problem, in Proc. of the 3rd European Congress on Cybernetics and Systems Research, Vienna, Apr. 1976
[5] Ricciardi, L. M., Diffusion processes and related topics in biology, (Lecture Notes in Biomathematics, 14 (1977), Springer) · Zbl 0575.92009
[6] S. Sato, Evaluation of the first passage time probability to a square root boundary for the Wiener process, J. of Appl. Probability, to be published.; S. Sato, Evaluation of the first passage time probability to a square root boundary for the Wiener process, J. of Appl. Probability, to be published. · Zbl 0408.60077
[7] Sugiyama, H.; Moore, G. P.; Perkel, D. H., Solutions for a stochastic model of neuron spike production, Math. Biosci., 8, 323-341 (1970) · Zbl 0202.19301
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