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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Aihara, K., Matsumoto, G.: Periodic and non-periodic responses of a periodically forced Hodgkin-Huxley oscillator. J. Theor.Biol. 109, 249–269 (1984)
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)
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)
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)
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)
O’Keefe, J., Recce, M.: Phase relationship between hippocampal place units and the EEG theta rhythm. Hippocampus 3, 317–330 (1993)
Yamaguchi, Y.: Neural mechanism of hippocampal memory organized by theta rhythm. Jpn J. Neuropsychopharmacol 22, 169–173 (2002)
Yamaguchi, Y.: A theory of hippocampal memory based on theta phase precession. Biological Cybernetics 89, 1–9 (2003)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights 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