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A Simple Generalized Excitability Model Mimicking Salient Features of Neuron Dynamics

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Abstract

A generalization of the FitzHugh—Nagumo model for excitability is provided to account for salient features of Inferior Olive neurons. The base state is a limit cycle and excitability appears as spiking over peaks of the oscillations. The response of the model to various types of external stimulus is also presented. In particular, we show the relevance of an appropriate balance between amplitude and duration of the stimulus.

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REFERENCES

  1. R. Llinás and Y. Yarom, J. Physiol. 315:569 (1981).

    Google Scholar 

  2. R. Llinás and Y. Yarom, J. Physiol. 376:163 (1986).

    Google Scholar 

  3. L. S. Benardo and R. E. Foster, Brain Res. Bull. 17:773 (1986).

    Google Scholar 

  4. For a survey see E. Meron, Pattern Formation in Excitable Media (Springer, New York, 1992).

    Google Scholar 

  5. R. FitzHugh,Biophys. J. 1:445 (1961).

    Google Scholar 

  6. J. S. Nagumo, S Arimoto, and S. Yoshizawa, Proc. I.R.E. 50:2061 (1962).

    Google Scholar 

  7. X. Wang and J. Rinzel, in The Handbook of Brain Theory and Neural Networks, M. Arbib, ed. (MIT Press, 1995), pp. 686-691.

  8. H. D. I. Abarbanel, M. I. Rabinovich, A. Selverston, M. V. Bazhenov, R. Huerta, M. M. Sushchik, and L. L. Rubchinsky, Physics-Uspekhi 39:337 (1996).

    Google Scholar 

  9. H. Haken, Principles of Brain Functioning (Springer-Verlag, Berlin, 1996).

    Google Scholar 

  10. A. L. Hodgkin and A. F. Huxley, J. Physiol. 177:500 (1952).

    Google Scholar 

  11. J. Cronin, Mathematical Aspects of Hodgkin-Huxley Neural Theory (Cambridge University Press, Cambridge, 1987).

    Google Scholar 

  12. B. van der Pol, London, Edinburgh and Dublin Phil. Mag. 3:65-80 (1927).

    Google Scholar 

  13. H. A. Braun, H. Wissing, K. Schäfer, and M. C. Hirsh, Nature 367:270 (1994).

    Google Scholar 

  14. E. J. Doedel, H. B. Keller, and J. P. Kernévez, Int. J. Bifurcation Chaos 1:3, 493 (1991). 678 Giaquinta et al.

    Google Scholar 

Download references

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Authors and Affiliations

  1. Instituto Pluridisciplinar, Paseo Juan XXIII, no. 1, 28040, Madrid, Spain

    A. Giaquinta, M. Argentina & M. G. Velarde

Authors
  1. A. Giaquinta
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  2. M. Argentina
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  3. M. G. Velarde
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Giaquinta, A., Argentina, M. & Velarde, M.G. A Simple Generalized Excitability Model Mimicking Salient Features of Neuron Dynamics. Journal of Statistical Physics 101, 665–678 (2000). https://doi.org/10.1023/A:1026401819366

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  • DOI: https://doi.org/10.1023/A:1026401819366

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