High Sensitivity Chaotic Behaviour in Sinusoidally Driven Hodgkin-Huxley Equations
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.
KeywordsChaotic Behaviour Membrane Model Membrane Voltage Maximal Lyapunov Exponent Deterministic Chaos
Unable to display preview. Download preview PDF.
- 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
- G. Benettin, L. Galgani and J. M. Strelcyn, Kolmogorov entropy and numerical experiments, Phys. Rev. A14:2338–2345 (1976).Google Scholar
- 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
- 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