IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v44y2011i4p342-347.html
   My bibliography  Save this article

Chaotic neuron clock

Author

Listed:
  • Bershadskii, A.
  • Ikegaya, Y.

Abstract

A chaotic model of spontaneous (without external stimulus) neuron firing has been analyzed by mapping the irregular spiking time-series into telegraph signals. In this model the fundamental frequency of chaotic Rössler attractor provides (with a period doubling) the strong periodic component of the generated irregular signal. The exponentially decaying broad-band part of the spectrum of the Rössler attractor has been transformed by the threshold firing mechanism into a scaling tale. These results are compared with irregular spiking time-series obtained in vitro from a spontaneous activity of hippocampal (CA3) singular neurons (rat’s brain slice culture). The comparison shows good agreement between the model and experimentally obtained spectra.

Suggested Citation

  • Bershadskii, A. & Ikegaya, Y., 2011. "Chaotic neuron clock," Chaos, Solitons & Fractals, Elsevier, vol. 44(4), pages 342-347.
    • Handle: RePEc:eee:chsofr:v:44:y:2011:i:4:p:342-347
    DOI: 10.1016/j.chaos.2011.03.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S096007791100035X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2011.03.001?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Alberto Mazzoni & Frédéric D Broccard & Elizabeth Garcia-Perez & Paolo Bonifazi & Maria Elisabetta Ruaro & Vincent Torre, 2007. "On the Dynamics of the Spontaneous Activity in Neuronal Networks," PLOS ONE, Public Library of Science, vol. 2(5), pages 1-12, May.
    2. Tal Kenet & Dmitri Bibitchkov & Misha Tsodyks & Amiram Grinvald & Amos Arieli, 2003. "Spontaneously emerging cortical representations of visual attributes," Nature, Nature, vol. 425(6961), pages 954-956, October.
    3. Grigolini, Paolo & Aquino, Gerardo & Bologna, Mauro & Luković, Mirko & West, Bruce J., 2009. "A theory of 1/f noise in human cognition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(19), pages 4192-4204.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Bershadskii, Alexander, 2018. "Stock market activity and hormonal cycles," MPRA Paper 85298, University Library of Munich, Germany.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Roberto F Galán, 2008. "On How Network Architecture Determines the Dominant Patterns of Spontaneous Neural Activity," PLOS ONE, Public Library of Science, vol. 3(5), pages 1-10, May.
    2. Bashkirtseva, Irina A. & Ryashko, Lev B. & Pisarchik, Alexander N., 2020. "Ring of map-based neural oscillators: From order to chaos and back," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).
    3. Adrián Ponce-Alvarez & Biyu J He & Patric Hagmann & Gustavo Deco, 2015. "Task-Driven Activity Reduces the Cortical Activity Space of the Brain: Experiment and Whole-Brain Modeling," PLOS Computational Biology, Public Library of Science, vol. 11(8), pages 1-26, August.
    4. Dimitri Yatsenko & Krešimir Josić & Alexander S Ecker & Emmanouil Froudarakis & R James Cotton & Andreas S Tolias, 2015. "Improved Estimation and Interpretation of Correlations in Neural Circuits," PLOS Computational Biology, Public Library of Science, vol. 11(3), pages 1-28, March.
    5. West, B.J. & Turalska, M., 2013. "Network of echoes," Chaos, Solitons & Fractals, Elsevier, vol. 55(C), pages 109-119.
    6. Rong J. B. Zhu & Xue-Xin Wei, 2023. "Unsupervised approach to decomposing neural tuning variability," Nature Communications, Nature, vol. 14(1), pages 1-16, December.
    7. Mite Mijalkov & Joana B Pereira & Giovanni Volpe, 2020. "Delayed correlations improve the reconstruction of the brain connectome," PLOS ONE, Public Library of Science, vol. 15(2), pages 1-22, February.
    8. Azarnoosh, Mahdi & Motie Nasrabadi, Ali & Mohammadi, Mohammad Reza & Firoozabadi, Mohammad, 2011. "Investigation of mental fatigue through EEG signal processing based on nonlinear analysis: Symbolic dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 44(12), pages 1054-1062.
    9. Protachevicz, Paulo R. & Batista, Antonio M. & Caldas, Iberê L. & Baptista, Murilo S., 2024. "Analytical solutions for the short-term plasticity," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    10. Christian Donner & Klaus Obermayer & Hideaki Shimazaki, 2017. "Approximate Inference for Time-Varying Interactions and Macroscopic Dynamics of Neural Populations," PLOS Computational Biology, Public Library of Science, vol. 13(1), pages 1-27, January.
    11. Guido Gigante & Gustavo Deco & Shimon Marom & Paolo Del Giudice, 2015. "Network Events on Multiple Space and Time Scales in Cultured Neural Networks and in a Stochastic Rate Model," PLOS Computational Biology, Public Library of Science, vol. 11(11), pages 1-23, November.
    12. Werner, Gerhard, 2013. "Consciousness viewed in the framework of brain phase space dynamics, criticality, and the Renormalization Group," Chaos, Solitons & Fractals, Elsevier, vol. 55(C), pages 3-12.
    13. West, B.J. & Grigolini, P., 2010. "Habituation and 1/f-noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(24), pages 5706-5718.
    14. Dejan Pecevski & Lars Buesing & Wolfgang Maass, 2011. "Probabilistic Inference in General Graphical Models through Sampling in Stochastic Networks of Spiking Neurons," PLOS Computational Biology, Public Library of Science, vol. 7(12), pages 1-25, December.
    15. West, B.J. & Grigolini, P., 2010. "A psychophysical model of decision making," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(17), pages 3580-3587.
    16. Simone Orcioni & Alessandra Paffi & Francesca Apollonio & Micaela Liberti, 2020. "Revealing Spectrum Features of Stochastic Neuron Spike Trains," Mathematics, MDPI, vol. 8(6), pages 1-13, June.
    17. Haleigh N. Mulholland & Matthias Kaschube & Gordon B. Smith, 2024. "Self-organization of modular activity in immature cortical networks," Nature Communications, Nature, vol. 15(1), pages 1-16, December.
    18. Lars Buesing & Johannes Bill & Bernhard Nessler & Wolfgang Maass, 2011. "Neural Dynamics as Sampling: A Model for Stochastic Computation in Recurrent Networks of Spiking Neurons," PLOS Computational Biology, Public Library of Science, vol. 7(11), pages 1-22, November.
    19. Marc Benayoun & Jack D Cowan & Wim van Drongelen & Edward Wallace, 2010. "Avalanches in a Stochastic Model of Spiking Neurons," PLOS Computational Biology, Public Library of Science, vol. 6(7), pages 1-13, July.
    20. Matteo Carandini, 2004. "Amplification of Trial-to-Trial Response Variability by Neurons in Visual Cortex," PLOS Biology, Public Library of Science, vol. 2(9), pages 1-1, August.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:44:y:2011:i:4:p:342-347. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.