Skip to main content
SpringerLink
Log in

Model of Wave Propagation in the Ring Neural Structures with Chemical Synapses

  • Chapter
  • First Online:
Models of Wave Memory

Part of the book series: Lecture Notes in Morphogenesis ((LECTMORPH))

  • 566 Accesses

Abstract

The presence in the brain of closed neural structures has long been observed (Lorento de Nó in J Neurophysiol 1:207–244, 1938; Eccles in The physiology of synapses. Mir, Moscow, (1966); Rosenblatt in Principles of neurodynamics, Mir, Moscow, 1965), and this points to the importance of the role that closed neural structures may play in ring neural formation in mechanisms of memory.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Lorente de Nó, R. (1938). Analysis of the activity of the chains of internuncial neurons. Journal of Neurophysiology, 1, 207–244.

    Google Scholar 

  • Eccles, J. (1966). The physiology of synapses. Moscow: Mir.

    Google Scholar 

  • Rosenblatt, F. (1965). Principles of neurodynamics. Moscow: Mir.

    Google Scholar 

  • Frolov, A. A., & Shulgina, G. I. (1983). Memory model based on the plasticity of inhibitory neurons. Biophysics, 28(3), 445–480.

    Google Scholar 

  • Schade, J., & Ford, D. (1976). Fundamentals of neurology. Moscow: Mir.

    Google Scholar 

  • Eckert, R., Randall, D., & Augustine, G. (1991). Animal physiology (vol. 1). Moscow: Mir.

    Google Scholar 

  • Rabinovich, M. I., & Trubetskov, G. I. (1984). Introduction to the theory of oscillations and waves. Moscow: Nauka.

    Google Scholar 

  • Anishchenko, V. S., Aranson, I. S., Postnov, D. E., & Rabinovich, M. I. (1986). Spatial synchronization and bifurcation of chaos in the chain of coupled oscillators. Rep Acad Sci USSR, 28(5), 1120.

    Google Scholar 

  • Zaslavsky, G. M., & Sagdeev, R. Z. (1988). Introduction to nonlinear physics. Moscow: Nauka.

    MATH  Google Scholar 

  • Dmitriev, A. S., & Kislov, V. Y. (1989). Stochastic oscillations in radiophysics and electronics. Moscow: Nauka.

    Google Scholar 

  • Chua, L., & Yang, L. (1988a). Cellular neural networks: Theory. IEEE Trans Circ Syst, 35(10), 1257–1272.

    Article  MathSciNet  MATH  Google Scholar 

  • Chua, L. O., & Yang, L. (1988b). Cellular neural networks: Applications. IEEE Trans Circ Syst, 35, 1273.

    Article  MathSciNet  Google Scholar 

  • Osipov, G. V., Rabinovich M. I., & Shalfeev V. D. (1992). Dynamics of nonlinear synchronization networks (Vol. 2, p. 88). In Proceedings of International Seminar “Nonlinear circuits and systems”, June 16–18, Russia, Moscow.

    Google Scholar 

  • Kashchenko, S. A. (1990a). Asymptotic analysis of the dynamics of the system of two coupled oscillators with delayed feedback. Proceedings of Universities. A series of Radiophysics 33(3), 308.

    Google Scholar 

  • Kashchenko, S. A. (1990b). Spatially inhomogeneous structures in the simplest models with delay and diffusion. Mathematical modelling, 2(9), 49–69.

    MathSciNet  MATH  Google Scholar 

  • Zabrodin, J. M., & Lebedev, A. N. (1977). Psychophysiology and psychophysics. Leningrad: Nauka.

    Google Scholar 

  • Lebedev, A. N. (1990). Human memory, its mechanisms and limits. Research of memory (pp. 104–118). Moscow: Nauka.

    Google Scholar 

  • Lebedev, A. N., Mayorov, V. V., & Myshkin, I. Y. (1991). The wave model of memory. In A. V. Holden & V. I. Kryukov (Eds.), Neurocomputers and attention, neurobiology, synchronisation and chaos (Vol. 1, pp. 53–59). Manchester: Manchester University Press.

    Google Scholar 

  • Kogan, A. B. (1967). Problem of the movement of the nervous processes in the cortex of the brain. Rostov-on-Don: RSU.

    Google Scholar 

  • Kogan, A. B. (1979). Functional organization of neural systems of the brain. Leningrad: Nauka.

    Google Scholar 

  • John, E. R. (1982). Neurophysiological model of purposeful behaviour in neurophysiological mechanisms of behaviour (pp. 103–128). Moscow: Nauka.

    Google Scholar 

  • Kryukov, V. I. (1989). Attention and the principle of dominant by Ukhtomskii. In International workshop “Neurocomputers and Attention” (pp. 54–55), Moscow.

    Google Scholar 

  • Kryukov, V. I. (1990). Do phase transitions take place in the brain or in a model? In Neural networks: Theory and architecture (pp. 95–116). UK: Manchester University Press.

    Google Scholar 

  • Livanov, M. N. (1972). Spatial organization of the processes of the brain. Moscow: Nauka.

    Google Scholar 

  • Livanov, M. N. (1989). Spatiotemporal organization of potentials and systemic activity of the brain, in Selected works. Moscow: Nauka.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. P.G. Demidov Yaroslavl State University, Yaroslavl, Russia

    Serguey Kashchenko

Authors
  1. Serguey Kashchenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Serguey Kashchenko .

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Kashchenko, S. (2015). Model of Wave Propagation in the Ring Neural Structures with Chemical Synapses. In: Models of Wave Memory. Lecture Notes in Morphogenesis. Springer, Cham. https://doi.org/10.1007/978-3-319-19866-8_3

Download citation

Publish with us

Policies and ethics

Search

Navigation