Feedback Effects in Simulated Stein’s Coupled Neurons | SpringerLink
Skip to main content
Springer Nature Link
Log in

Feedback Effects in Simulated Stein’s Coupled Neurons

  • Conference paper
Computer Aided Systems Theory – EUROCAST 2005 (EUROCAST 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3643))

Included in the following conference series:

Abstract

A network consisting of two Stein-type neuronal units is analyzed under the assumption of a complete interaction between the neurons. The firing of each neuron causes a jump of constant amplitude of the membrane potential of the other neuron. The jump is positive or negative according to whether the firing neuron is excitatory or inhibitory.

Making use of a simulation procedure designed by ourselves, we study the interspike intervals of the two neurons by means of their histograms, of some descriptive statistics and of empirical distribution functions. Furthermore, via the crosscorrelation function, we investigate the synchronization between the neurons firing activity in the special case when one neuron is excitatory and the other is inhibitory.

This work has been performed under partial support by MIUR (cofin 2003) and by G.N.C.S. (INdAM).

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

Access this chapter

Log in via an institution

Subscribe and save

Springer+ Basic
¥17,985 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
JPY 3498
Price includes VAT (Japan)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
JPY 11439
Price includes VAT (Japan)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
JPY 14299
Price includes VAT (Japan)
  • 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. Dayan, P., Abbott, L.F.: Theoretical Neuroscience. Computational and Mathematical Modeling of Neural Systems. MIT Press, Cambridge (2001)

    Google Scholar 

  2. Borisyuk, R.: Oscillatory activity in the neural network of spiking elements. BioSystems 67, 3–16 (2002)

    Article  Google Scholar 

  3. Borst, A., Theunissen, F.E.: Information Theory and neural coding. Nature Neuroscience 2(11), 947–957 (1999)

    Article  Google Scholar 

  4. Burkitt, A.N.: Balanced neurons: analysis of leaky integrate-and-fire neurons with reversal potential. Biological Cybernetics 85, 247–255 (2001)

    Article  MATH  Google Scholar 

  5. Cartling, B.: Control of computational dynamics of coupled integrate-and-fire neurons. Biological Cybernetics 76, 383–395 (1997)

    Article  MATH  Google Scholar 

  6. Di Crescenzo, A., Martinucci, B., Pirozzi, E., Ricciardi, L.M.: On the interaction between two Stein’s neuronal units. In: Trappl, R. (ed.) Cybernetics and Systems 2004, vol. 1, pp. 205–210. Austrian Society for Cybernetic Studies, Vienna (2004)

    Google Scholar 

  7. Di Crescenzo, A., Martinucci, B., Pirozzi, E.: On the dynamics of a pair of coupled neurons subject to alternating input rates. BioSystems 79, 109–116 (2005)

    Article  Google Scholar 

  8. Elson, R.C., Selverston, A.I., Huerta, R., Rulkov, N.F., Rabinovich, M.I., Abarbanel, H.D.I.: Synchronous Behavior of Two Coupled Biological Neurons. Physical Review Letters 81(25), 5692–5695 (1998)

    Article  Google Scholar 

  9. Shaked, M., Shantikumar, J.C.: Stochastic Orders and Their Applications. Academic Press, San Diego (1994)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dipartimento di Matematica e Informatica, Università di Salerno, Via Ponte don Melillo, I-84084, Fisciano (SA), Italy

    A. Di Crescenzo & B. Martinucci

  2. Dipartimento di Matematica e Applicazioni, Università di Napoli Federico II, Via Cintia, I-80126, Napoli, Italy

    E. Pirozzi

Authors
  1. A. Di Crescenzo
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. B. Martinucci
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. E. Pirozzi
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Instituto Universitario de Ciencias y Tecnologícas Cibernéticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira, 35017, Las Palmas de Gran Canaria,, Las Palmas, Spain

    Roberto Moreno Díaz

  2. Systems Theory, Johannes Kepler University Linz, Altenbergerstrasse 69, A-4040, Linz, Austria

    Franz Pichler

  3. Universidad de Las Palmas de Gran Canaria, Instituto Universitario de Ciencias y Tecnologícas Cibernéticas, Campus de Tafira, 35017, Las Palmas de Gran Canaria, Las Palmas, Spain

    Alexis Quesada Arencibia

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Di Crescenzo, A., Martinucci, B., Pirozzi, E. (2005). Feedback Effects in Simulated Stein’s Coupled Neurons. In: Moreno Díaz, R., Pichler, F., Quesada Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2005. EUROCAST 2005. Lecture Notes in Computer Science, vol 3643. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11556985_57

Download citation

  • DOI: https://doi.org/10.1007/11556985_57

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-29002-5

  • Online ISBN: 978-3-540-31829-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation