Skip to main content
Log in

Autaptic effects on synchrony of neurons coupled by electrical synapses

  • Published:
Journal of the Korean Physical Society Aims and scope Submit manuscript

Abstract

In this paper, we numerically study the effects of a special synapse known as autapse on synchronization of population of Morris-Lecar (ML) neurons coupled by electrical synapses. Several configurations of the ML neuronal populations such as a pair or a ring or a globally coupled network with and without autapses are examined. While most of the papers on the autaptic effects on synchronization have used networks of neurons of same spiking rate, we use the network of neurons of different spiking rates. We find that the optimal autaptic coupling strength and the autaptic time delay enhance synchronization in our neural networks. We use the phase response curve analysis to explain the enhanced synchronization by autapses. Our findings reveal the important relationship between the intraneuronal feedback loop and the interneuronal coupling.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. G. B. Ermentrout, Mathematical Foundations of Neuroscience, 2010th Ed. (Springer, New York, 2010).

    Book  MATH  Google Scholar 

  2. O. Sporns, Networks of the Brain (MIT Press, Cambridge, 2011).

    MATH  Google Scholar 

  3. A. Pikovsky, M. Rosenblum and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge University Press, Cambridge, 2003).

    MATH  Google Scholar 

  4. M. S. Vitaterna, J. S. Takahashi and F. W. Turek, Alcohol Research and Health 25, 85 (2001).

    Google Scholar 

  5. W. F. Boron and E. L. Boulpaep, Medical Physiology, 3rd Ed. (Elsevier, Amsterdam, 2016).

    Google Scholar 

  6. H. Van der Loos, E. M. Glaser, Brain Research 48, 355 (1972).

    Google Scholar 

  7. J. M. Bekkers, Current Biology 8, R52 (1998).

    Article  Google Scholar 

  8. J. Lübke, H. Markram, M. Frotscher and B. Sakmann, J. Neurosci. 16, 3209 (1996).

    Google Scholar 

  9. C. Wyart, S. Cocco, L. Bourdieu, J-F. Leger, C. Herr and D. Chatenay, J. Neuro. Physiol. 93, 3370 (2005).

    Google Scholar 

  10. H. T. Wang, J. Ma, Y. L. Chen and Y. Chen, Commu. Nonlinear Sci. Numer. Simul. 19, 3242 (2014).

    Article  ADS  Google Scholar 

  11. E. Yilmaz, M. Ozar, V. Baysal and M. Perc, Scientific Reports 6, 30914 (2016).

    Article  ADS  Google Scholar 

  12. B. Wang, Y. Gong, H. Xie and Q. Wang, Chaos, Solitons and Fractals 91, 372 (2016).

    Article  ADS  MathSciNet  Google Scholar 

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

    Google Scholar 

  14. C. Morris and H. Lecar, Biophys J. 35, 193 (1981).

    Article  ADS  Google Scholar 

  15. W. Lim, S-Y. Kim and Y. Kim, Prog. Theo. Physics 121, 671 (2009).

    Article  ADS  Google Scholar 

  16. C. P. Fall, E. S. Marland, J. M. Wagner and J. J. Tyson, Computational Cell Biology (Springer, New York, 2001).

    MATH  Google Scholar 

  17. H. G. Wilson, Spikes, Decisions and Actions (Oxford University Press, New York, 1999).

    MATH  Google Scholar 

  18. J. K. Kim, Z. P. Kilpatrick, M. R. Bennett and K. Josik, Biophysical J. 166, 2071 (2014).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Youngtae Kim.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kim, Y. Autaptic effects on synchrony of neurons coupled by electrical synapses. Journal of the Korean Physical Society 71, 63–69 (2017). https://doi.org/10.3938/jkps.71.63

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3938/jkps.71.63

Keywords

Navigation