Skip to main content

Zero-Lag Long Range Synchronization of Neurons Is Enhanced by Dynamical Relaying

  • Conference paper
Artificial Neural Networks – ICANN 2007 (ICANN 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4668))

Included in the following conference series:

Abstract

How can two distant neural assemblies synchronize their firings at zero-lag even in the presence of non-negligible delays in the transfer of information between them? Here we propose a simple network module that naturally accounts for zero-lag neural synchronization for a wide range of temporal delays. In particular, we demonstrate that isochronous (without lag) millisecond precise synchronization between two distant neurons or neural populations can be achieved by relaying their dynamics via a third mediating single neuron or population.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Von der Malsburg, C., Schneider, W.: A neural cocktail-party processor. Biological Cybernetics 54, 29–40 (1986)

    Article  Google Scholar 

  2. Rieke, F., Warland, D., De Ruyter van Steveninck, R.: Spikes: Exploring the Neural Code. MIT Press, Cambridge (1997)

    Google Scholar 

  3. Varela, F.J., Lachaux, J.P., Rodriguez, E., Martinerie, J.: The brainweb: phase synchronization and large-scale integration. Nature Reviews Neuroscience 2, 229–239 (2001)

    Article  Google Scholar 

  4. Singer, W.: Neuronal Synchrony: A Versatile Code for the Definition of Relations? Neuron 24, 49–65 (1999)

    Article  Google Scholar 

  5. Van Vreeswijk, C., Abbott, L.F., Ermentrout, B.: When inhibition not excitation synchronizes neural firing. Journal of Computational Neuroscience 1, 313–321 (1994)

    Article  Google Scholar 

  6. Lago-Fernandez, L.F., Huerta, R., Corbacho, F., Siguenza, J.A.: Fast response and temporal coherent oscillations in small-world networks. Physical Review Letters 84, 2758–2761 (2000)

    Article  Google Scholar 

  7. Freeman, W.: Characteristics of the synchronization of brain activity imposed by finite conduction velocity of axons. International Journal of Bifurcation and Chaos 10, 2307–2322 (2000)

    Google Scholar 

  8. Fischer, I., Vicente, R., Buldu, J.M., Peil, M., Mirasso, C.R., Torrent, M.C., Garcia-Ojalvo, J.: Zero-lag synchronization via dynamical relaying. Physical Review Letters 97, 123902(1)–123902(4) (2006)

    Google Scholar 

  9. Salami, M., Itami, C., Tsumoto, T., Kimura, F.: Change of conduction velocity by regional myelination yields to constant latency irrespective of distance between thalamus and cortex. PNAS 100, 6174–6179 (2003)

    Article  Google Scholar 

  10. Hodgkin, A.L., Huxley, A.F.: A quantitative description of the membrane current and its application to conduction and excitation in nerve. Journal of Physiology 117, 500–544 (1952)

    Google Scholar 

  11. Pikovsky, A., Rosenblum, M., Kurths, J.: Synchronization: A universal concept in nonlinear sciences. Cambridge University Press, Cambridge (2001)

    MATH  Google Scholar 

  12. Goel, P., Ermentrout, B.: Synchrony, stability and firing pattern is pulse-coupled oscillators. Physica D 163, 191–216 (2002)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Joaquim Marques de Sá Luís A. Alexandre Włodzisław Duch Danilo Mandic

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Vicente, R., Pipa, G., Fischer, I., Mirasso, C.R. (2007). Zero-Lag Long Range Synchronization of Neurons Is Enhanced by Dynamical Relaying. In: de Sá, J.M., Alexandre, L.A., Duch, W., Mandic, D. (eds) Artificial Neural Networks – ICANN 2007. ICANN 2007. Lecture Notes in Computer Science, vol 4668. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74690-4_92

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-74690-4_92

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74689-8

  • Online ISBN: 978-3-540-74690-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics