ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Klinshov V. V., Nekorkin V. I. Dynamics of system of neurons with afterdepolarization and inhibitory feedback. Izvestiya VUZ. Applied Nonlinear Dynamics, 2004, vol. 12, iss. 6, pp. 144-158. DOI: 10.18500/0869-6632-2004-12-6-144-158

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Language: 
Russian
Heading: 
Autowaves. Self-organization
Article type: 
Article
UDC: 
621.373.1
DOI: 
10.18500/0869-6632-2004-12-6-144-158

Dynamics of system of neurons with afterdepolarization and inhibitory feedback

Autors: 
Klinshov Vladimir Viktorovich, Lobachevsky State University of Nizhny Novgorod
Nekorkin Vladimir Isaakovich, Institute of Applied Physics of the Russian Academy of Sciences
Abstract: 

The dynamics of a model describing a system of neurons with afterdepolarization and inhibitory feedback is investigated. We show that this system under the influence of an oscillatory stimulus can realize functions of short term memory. One or two different informational images can be stored in the system as the clusters of periodical neural activity. The methods of information input, output and erasing are described. Corresponding parameter regions are estimated.

Key words: 
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Acknowledgments: 
The work supported by the RFBR № 03-02-17135.
Reference: 
  1. Haken G, Haken-Krell M. Tainy Perception. Moscow: Institute for Computer Research; 2002. 272 p.
  2. Hebb DO. The Organization of Behavior. Hoboken: John Wiley and Sons; 1949. 337 p.
  3. Wang XJ. Synaptic reverberation underlying mnemonic persistent activity. TRENDS in Neuroscience. 2001;24(8):455–463. DOI: 10.1016/s0166-2236(00)01868-3.
  4. Nicolle J, Martin P, Vallas B, Fuchs P. From Neuron to Brain. Moskow: URSS; 2003. 672 p.
  5. Malinetsky GG, Potapov AB. Modern Problems of Nonlinear Dynamics. Moskow: Editorial URSS; 2000. 336 p.
  6. White OL, Lee DР, Sompolinsky H. Short-term memory in orthogonal neural networks. Phys. Rev. 2004;92(14):148102. DOI: 10.1103/PhysRevLett.92.148102.
  7. Lisman JE, Idiart А. Storage of 7+/-2 short-term memories in oscillatory subcycles. Science. 1995;267(1):1512–1514. DOI:10.1126/science.7878473.
  8. Klinshov BB, Nekorkin VI. Model of neuron with postdepolarization and short-term memory. Izv. vuzov. Radiophysics. 2005;48(3):228.
  9. FitzHugh R. Impulses and physiological states in model of nerve membrane. Biophys. J. 1961;1(6):445–466.  DOI: 10.1016/s0006-3495(61)86902-6.
  10. Nagumo JS, Arimoto S, Yoshizawa S. An active pulse transmission line simulating nerve ахоn. Proc. of IRF. 1962;50:2061–2070. DOI: 10.1109/JRPROC.1962.288235.
  11. Andronov AA, Witt AA, Haykin SE. Theory of Fluctuations. Moscow: Fizmatgiz; 1959. 918 p.
  12. Arnold VI, Afraimovich BC, Ilyashchenko YS, Shilnikov LP. Theory of bifurcations. Modern problems of mathematics. Fundamental directions. Moscow: VINITI AS USSR. 1986;5:5–218.
  13. Mishchenko EF, Rozov NKh. Differential Equations with Small Parameter and Relaxation Fluctuations. Moscow: Nauka; 1975. 248 p.
Received: 
24.12.2004
Accepted: 
16.03.2005
Published: 
15.06.2005
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