Scaling law for the transient behavior of type-II neuron models
Miguel Angel Durán Roa, Mauro Copelli, Osame Kinouchi, Nestor Caticha
Abstract
We study the transient regime of type-II biophysical neuron models and determine the scaling behavior of relaxation times τ near but below the repetitive firing critical current, τ C (Ic-I)-Δ. For both the Hodgkin-Huxley and Morris-Lecar models we find that the critical exponent is independent of the numerical integration time step and that both systems belong to the same universality class, with Δ= 1/2. For appropriately chosen parameters, the FitzHugh-Nagumo model presents the same generic transient behavior, but the critical region is significantly smaller. We propose an experiment that may reveal nontrivial critical exponents in the squid axon.
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