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High Sensitivity Chaotic Behaviour in Sinusoidally Driven Hodgkin-Huxley Equations

  • P. Arrigo
  • L. Marconi
  • G. Morgavi
  • S. Ridella
  • C. Rolando
  • F. Scalia
Part of the NATO ASI Series book series (NSSA, volume 138)

Abstract

In this paper the interaction between low frequency, low amplitude electric field and the Hodgkin-Huxley (HH) membrane model is considered in order to study non-thermal biological effects due to small fields applied for long time.

For the situation presented a small change in amplitude can induce a chaotic behaviour. The results are presented in terms of membrane voltage and maximal Lyapunov exponents.

Keywords

Chaotic Behaviour Membrane Model Membrane Voltage Maximal Lyapunov Exponent Deterministic Chaos 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Reference

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    A. L. Hodgkin and A. F. Huxley, A quantitative description of membrane current and its application to conduction and excitation in nerve, J. Physiol. 117:500–544 (1952).Google Scholar
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    G. Benettin, L. Galgani and J. M. Strelcyn, Kolmogorov entropy and numerical experiments, Phys. Rev. A14:2338–2345 (1976).Google Scholar
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    J. H. Jensen, P. L. Christiansen, A. C. Scott and O. Skovgaard, Chaos in nerve, ACI 83, Vol. 2:15.6–15.9 (19).Google Scholar
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    A. V. Holden and M. A. Muhamad, The identification of deterministic chaos in the activity of single meurones, J. Electrophysiol. Tech. 11:135–147 (1984).Google Scholar

Copyright information

© Springer Science+Business Media New York 1987

Authors and Affiliations

  • P. Arrigo
    • 1
  • L. Marconi
    • 1
  • G. Morgavi
    • 1
  • S. Ridella
    • 1
  • C. Rolando
    • 1
  • F. Scalia
    • 1
  1. 1.Istituto per i Circuiti ElettroniciConsiglio Nazionale delle RicercheGenovaItaly

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