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.
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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).
G. Benettin, L. Galgani and J. M. Strelcyn, Kolmogorov entropy and numerical experiments, Phys. Rev. A14:2338–2345 (1976).
J. H. Jensen, P. L. Christiansen, A. C. Scott and O. Skovgaard, Chaos in nerve, ACI 83, Vol. 2:15.6–15.9 (19).
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).
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© 1987 Springer Science+Business Media New York
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Arrigo, P., Marconi, L., Morgavi, G., Ridella, S., Rolando, C., Scalia, F. (1987). High Sensitivity Chaotic Behaviour in Sinusoidally Driven Hodgkin-Huxley Equations. In: Degn, H., Holden, A.V., Olsen, L.F. (eds) Chaos in Biological Systems. NATO ASI Series, vol 138. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9631-5_14
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DOI: https://doi.org/10.1007/978-1-4757-9631-5_14
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-9633-9
Online ISBN: 978-1-4757-9631-5
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