Skip to main content
SpringerLink
Log in

Appearance of multistability in a neuron model with network feedback

  • Published:
JETP Letters Aims and scope Submit manuscript

Abstract

The dynamics of a neuron generator with a feedback loop formed owing to the propagation of a signal through a neural network has been examined. It has been found that such a feedback loop makes it possible to control the frequency of oscillations of a neuron under the network signalization conditions, stabilizing a certain average generation frequency. Furthermore, when feedback is increased, the dynamics of the neuron becomes bistable with two stable steady states corresponding to different average frequencies of oscillation generation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. J. G. Nicholls, A. R. Martin, B. G. Wallace, and P. A. Fuchs, From Neuron to Brain (Sinauer, Sunderland, MA, 2001; URSS, Moscow, 2003).

    Google Scholar 

  2. E. R. Kandel, J. H. Schwartz, and T. Jessell, Principles of Neural Science (Prentice-Hall Intern., Englewood Cliffs, 1991).

    Google Scholar 

  3. Y. Ikegaya, G. Aaron, R. Cossart, et al., Science 304, 559 (2004).

    Article  ADS  Google Scholar 

  4. J. D. Rolston, D. A. Wagenaar, and S. M. Potter, Neuroscience 148, 294 (2007).

    Article  Google Scholar 

  5. J. E. Lisman and M. A. Idiart, Science 267, 1512 (1995).

    Article  ADS  Google Scholar 

  6. A. A. Koulakov, S. Raghavachari, A. Kepecs, and J. Lisman, Nature Neurosci. 5, 775 (2002).

    Article  Google Scholar 

  7. Y. Shu, A. Hasenstaub, and D. A. McCormick, Nature 423, 288 (2003).

    Article  ADS  Google Scholar 

  8. D. Wang and D. Terman, Neural Comput. 9, 805 (1997).

    Article  Google Scholar 

  9. J. C. Magee, Trends Neurosci. 26, 14 (2003).

    Article  Google Scholar 

  10. E. M. Izhikevich, Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting (The MIT Press, Cambridge, MA, 2007).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Applied Physics, Russian Academy of Sciences, ul. Ul’yanova 46, Nizhni Novgorod, 603950, Russia

    V. B. Kazantsev, S. Yu. Gordleeva & S. V. Stasenko

  2. Nizhni Novgorod State University, pr. Gagarina 23, Nizhni Novgorod, 603950, Russia

    V. B. Kazantsev, S. Yu. Gordleeva, S. V. Stasenko & A. E. Dityatev

  3. Molekulare Neuroplastizität Group, Deutsches Zentrum für Neurodegenerative Erkrankungen, 39120, Magdeburg, Germany

    A. E. Dityatev

Authors
  1. V. B. Kazantsev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. Yu. Gordleeva
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. V. Stasenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. A. E. Dityatev
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. B. Kazantsev.

Additional information

Original Russian Text © V.B. Kazantsev, S.Yu. Gordleeva, S.V. Stasenko, A.E. Dityatev, 2012, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2012, Vol. 96, No. 11, pp. 825–829.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kazantsev, V.B., Gordleeva, S.Y., Stasenko, S.V. et al. Appearance of multistability in a neuron model with network feedback. Jetp Lett. 96, 739–742 (2013). https://doi.org/10.1134/S0021364012230087

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021364012230087

Keywords

Search

Navigation