Skip to main content

Two Models for Theta Precession Generation Using the Complex Version of the Nagumo-Sato Neuron Model and the Hodgkin-Huxley Equations

  • Conference paper
Neural Information Processing (ICONIP 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3316))

Included in the following conference series:

Abstract

The firing of the so-called place cells in the rat hippocampus shows theta precession, meaning that the probability of firing follows the local theta potential with certain phase lags which depend on the instantaneous position of the animal during running in a given field. In this paper, the precession is modeled by two models, one is the complex version of the Nagumo-Sato single neuron and the other the well-known Hodgkin-Huxley equations.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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.

References

  1. Aihara, K., Matsumoto, G.: Periodic and non-periodic responses of a periodically forced Hodgkin-Huxley oscillator. J. Theor.Biol. 109, 249–269 (1984)

    Article  MathSciNet  Google Scholar 

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

    Google Scholar 

  3. Nemoto, I., Miyazaki, S., Saito, M., Utsunomiya, T.: Behavior of solutions of the Hodgkin-Huxley equations and its relation to properties of mechanoreceptors. Biophys. J. 15, 469–479 (1975)

    Article  Google Scholar 

  4. Nemoto, I., Saito, K.: A complex-valued version of Nagumo-Sato model of a single neuron and its behavior. Neural Networks 15, 833–853 (2002)

    Article  Google Scholar 

  5. Nemoto, I.: Some properties of the network consisting of two complex-valued Nagumo- Sato Neurons. In: Proc. 7th Int.l Conf KES 2003, pp. 351–357 (2003)

    Google Scholar 

  6. O’Keefe, J., Recce, M.: Phase relationship between hippocampal place units and the EEG theta rhythm. Hippocampus 3, 317–330 (1993)

    Article  Google Scholar 

  7. Yamaguchi, Y.: Neural mechanism of hippocampal memory organized by theta rhythm. Jpn J. Neuropsychopharmacol 22, 169–173 (2002)

    Google Scholar 

  8. Yamaguchi, Y.: A theory of hippocampal memory based on theta phase precession. Biological Cybernetics 89, 1–9 (2003)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Nemoto, I. (2004). Two Models for Theta Precession Generation Using the Complex Version of the Nagumo-Sato Neuron Model and the Hodgkin-Huxley Equations. In: Pal, N.R., Kasabov, N., Mudi, R.K., Pal, S., Parui, S.K. (eds) Neural Information Processing. ICONIP 2004. Lecture Notes in Computer Science, vol 3316. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30499-9_19

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-30499-9_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-23931-4

  • Online ISBN: 978-3-540-30499-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics