Scaling law for the transient behavior of type-II neuron models

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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, $τ\simeq C (I_c-I)^{-Δ}$. 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.
6 pages, 9 figures, accepted for publication in Phys. Rev. E

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Neurons and Cognition

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http://salesiana.dossiersoluciones.com/handle/123456789/125534

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/q-bio/0606019
 http://arxiv.org/abs/q-bio/0606019
 Phys. Rev. E 75, 021911 (2007)
 doi:10.1103/PhysRevE.75.021911

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arXiv