Skip to main content
SpringerLink
Log in

Instrumental implementation of a neuronlike generator with spiking and bursting dynamics based on a phase-locked loop

  • Published:
Technical Physics Letters Aims and scope Submit manuscript

Abstract

An instrumental model of a neuron based on a phase-locked loop with a bandpass filter in the control loop is proposed. The main constructive elements of the system are described. The existence of different dynamic modes that are qualitatively similar to the spiking and bursting neuron dynamics has been experimentally demonstrated.

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. C. Mead, Analog VLSI and Neural Systems (Addison-Wesley, Boston, 1989).

    MATH  Google Scholar 

  2. M. Mahowald and R. Douglas, Nature 354 (6354), 515 (1991).

    Article  ADS  Google Scholar 

  3. A. L. Hodgkin and A. F. Huxley, J. Physiol. 117, 500 (1952).

    Article  Google Scholar 

  4. R. FitzHugh, Biophys. J. 1, 445 (1961).

    Article  ADS  Google Scholar 

  5. J. L. Hindmarsh and R. M. Rose, Proc. R. Soc. B: Biol. Sci. 221 (1222), 87 (1984).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  7. G. Indiveri, R. Douglas, and L. Smith, Scholarpedia 3, 1887 (2008).

    Article  ADS  Google Scholar 

  8. G. Indiveri, B. Linares-Barranco, T. J. Hamilton, et al., Front. Neurosci. 5, 73 (2011).

    Google Scholar 

  9. M. F. Simoni, G. S. Cymbalyuk, M. E. Sorensen, et al., IEEE Trans. Biomed. Eng. 51, 342 (2004).

    Article  Google Scholar 

  10. T. Nishigami and H. Torikai, Neuron Networks 22, 664 (2009).

    Article  Google Scholar 

  11. J. H. B. Wijekoon and P. Dudek, Neuron Networks 21, 524 (2008).

    Article  Google Scholar 

  12. G. V. Savino and C. M. Formigli, Biosystems 97, 9 (2009).

    Article  Google Scholar 

  13. A. van Schaik, Neuron Networks 14, 617 (2001).

    Article  Google Scholar 

  14. T. Kohno and K. Aihara, Neurocomputing 71, 1619 (2008).

    Article  Google Scholar 

  15. J. V. Arthur and K. Boahen, IEEE Trans. Neural Networks 18, 1815 (2007).

    Article  Google Scholar 

  16. C.-S. Poon and K. Zhou, Front. Neurosci. 5, 108 (2011).

    Article  Google Scholar 

  17. T. Kohno, M. Sekikawa, J. Li, et al., Front. Neurosci. 10, 273 (2016).

    Google Scholar 

  18. J. Li, Y. Katori, and T. Kohno, Front. Neurosci. 6, 183 (2012).

    Article  Google Scholar 

  19. P. A. Merolla, J. V. Arthur, R. Alvarez-Icaza, et al., Science 345 (6197), 668 (2014).

    Article  ADS  Google Scholar 

  20. A. Aggarwal, Neuron Networks 77, 29 (2016).

    Article  Google Scholar 

  21. J. Misra and I. A. Saha, Neurocomputing 74, 239 (2010).

    Article  Google Scholar 

  22. M. A. Mishchenko, Vestn. Nizhegor. Univ. im. N.I. Lobachevskogo 5, 279 (2011).

    Google Scholar 

  23. M. A. Mishchenko, V. D. Shalfeev, and V. V. Matrosov, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelin. Dinam. 20 (4), 122 (2012).

    Google Scholar 

  24. V. V. Matrosov, M. A. Mishchenko, and V. D. Shalfeev, Eur. Phys. J. Spec. Top. 222, 2399 (2013).

    Article  Google Scholar 

  25. F. C. Hoppensteadt and E. M. Izhikevich, IEEE Trans. Neural Networks 11, 734 (2000).

    Article  Google Scholar 

  26. F. C. Hoppensteadt, Scholarpedia 1, 1599 (2006).

    Article  ADS  Google Scholar 

  27. R. E. Best, Phase-Locked Loops: Design, Simulation, and Applications, 5th ed. (McGraw-Hill, New York, 2003).

    Google Scholar 

  28. A. S. Dmitriev, A. V. Kletsov, and L. V. Kuz’min, Usp. Sovrem. Radioelektron., No. 1, 46 (2008).

    Google Scholar 

  29. D. K. Morgan, TI Appl. Rep. SCHA002A (2003).

    Google Scholar 

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

    Google Scholar 

  31. M. Jensen and Y. Yaari, J. Neurophysiol. 77, 1224 (1997).

    Google Scholar 

  32. I. V. Chernyshev, M. A. Mishchenko, and V. V. Matrosov, RF Patent No. 158122 (2015).

    Google Scholar 

  33. S. Binczak, S. Jacquir, J.-M. Bilbault, et al., Neural Networks 19, 684 (2006).

    Article  Google Scholar 

  34. Neuroprosthetics: Theory and Practice, Ed. by K. W. Horch and G. S. Dhillon (World Scientific, Singapore, 2004), Vol. 2.

  35. P. Bonifazi, F. Difato, P. Massobrio, et al., Front. Neural Circuits 7, 40 (2013).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, 603950, Russia

    M. A. Mishchenko, D. I. Bolshakov & V. V. Matrosov

Authors
  1. M. A. Mishchenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. I. Bolshakov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. V. V. Matrosov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. A. Mishchenko.

Additional information

Original Russian Text © M.A. Mishchenko, D.I. Bolshakov, V.V. Matrosov, 2017, published in Pis’ma v Zhurnal Tekhnicheskoi Fiziki, 2017, Vol. 43, No. 13, pp. 10–18.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Mishchenko, M.A., Bolshakov, D.I. & Matrosov, V.V. Instrumental implementation of a neuronlike generator with spiking and bursting dynamics based on a phase-locked loop. Tech. Phys. Lett. 43, 596–599 (2017). https://doi.org/10.1134/S1063785017070100

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063785017070100

Search

Navigation