Model of a Neuron with Afterdepolarization and Short-Term Memory
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In this paper, we propose a model describing the dynamics of a neuron capable of storing the so-called short-term memory. From the dynamical viewpoint, the effect of short-term memory means that the neuron “ remembers” the fact of its short-pulse excitation and the action potential is periodically generated for a long time after it. This mechanism of memory storage is realized due to the property of afterdepolarization included in the model. This property is well known in real (live)neurons of cortex and hippocampus.
KeywordsQuantum Electronics Nonlinear Optic Memory Storage Dynamical Viewpoint
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- 1.H. Haken and M. Haken-Krelle, Erfolgsgeheimnisse der Wahrnehmung (Secrets of Successful Perception), DVA, Stuttgart (1992).Google Scholar
- 3.D. O. Hebb, The Organization of Behavior, Wiley, New York (1949).Google Scholar
- 6.R. FitzHugh, Biophys. J., 1, 445 (1961).Google Scholar
- 7.J. S. Nagumo, S. Arimoto, and S. Yoshizawa, Proc. IRF, 50, 2061 (1962).Google Scholar
- 8.A. A. Andronov, A. A. Vitt, and S. E. Khaikin, Theory of Oscillations, Pergamon, Oxford (1966).Google Scholar
- 9.E. F. Mishchenko and N. Kh. Rozov, Differential Equations with a Small Parameter and the Relaxation Oscillations [in Russian], Nauka, Moscow (1975).Google Scholar
- 10.V. I. Arnold, V. S. Afraimovich, Yu. S. Il’yashchenko, and L. P. Shil’nikov, Modern Problems in Mathematics. The Fundamental Trends [in Russian], VINITI Akad. Nauk USSR, Moscow (1986), No. 5, p. 165.Google Scholar
- 11.J. G. Nicholls, A. R. Martin, B. G. Wallace, and P. A. Fuchs, From Neuron to Brain, Sinauer Accociates, Sunderland, MA (2001).Google Scholar