Ukrainian Mathematical Journal

, 59:1819 | Cite as

Output stream of a binding neuron

  • O. K. Vidybida


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.


Sojourn Time Mathematical Expectation Output Pulse Input Pulse Time Length 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. 1.
    O. K. Vidybida, “Inhibition as a binding controller at the single neuron level,” Dopov. Nats. Akad. Nauk Ukr., No. 10, 161–164 (1996).Google Scholar
  2. 2.
    A. K. Vidybida, “Inhibition as binding controller at the single neuron level,” Biosystems, 48, 263–267 (1998).CrossRefGoogle Scholar
  3. 3.
    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).Google Scholar
  4. 4.
    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).CrossRefGoogle Scholar
  5. 5.
    A. F. Zaritskii, “On the mathematical theory of representation of information in neural networks,” Ukr. Mat. Zh., 47, No. 12, 1706–1707 (1995).MathSciNetCrossRefGoogle Scholar
  6. 6.
    B. V. Hnedenko, A Course in Probability Theory [in Ukrainian], Radyans’ka Shkola, Kyiv (1950).Google Scholar
  7. 7.
    A. Ya. Khinchin, Mathematical Methods of Queuing Theory [in Russian], Mathematical Institute, Academy of Sciences of the USSR, Moscow (1955).Google Scholar
  8. 8.
    D. Alimov, “Three examples of Markov functionals,” Ukr. Mat. Zh., 44, No. 3, 299–304 (1992).zbMATHMathSciNetGoogle Scholar
  9. 9.
    A. N. Kolmogorov, Foundations of Probability Theory [in Russian], Nauka, Moscow (1974).Google Scholar
  10. 10.
    W. Feller, An Introduction to Probability Theory and Its Applications, Vol. 2, Wiley, New York (1966).zbMATHGoogle Scholar

Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  • O. K. Vidybida
    • 1
  1. 1.Institute for Theoretical PhysicsUkrainian National Academy of SciencesKyivUkraine

Personalised recommendations