Scaling law for the transient behavior of type-II neuron models
| dc.creator | Roa, Miguel Angel Durán | |
| dc.creator | Copelli, Mauro | |
| dc.creator | Kinouchi, Osame | |
| dc.creator | Caticha, Nestor | |
| dc.date | 2006-06-14 | |
| dc.date | 2007-01-24 | |
| dc.date.accessioned | 2026-07-07T07:51:30Z | |
| dc.date.available | 2026-07-07T07:51:30Z | |
| dc.description | 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. | |
| dc.description | 6 pages, 9 figures, accepted for publication in Phys. Rev. E | |
| dc.identifier | https://arxiv.org/abs/q-bio/0606019 | |
| dc.identifier | http://arxiv.org/abs/q-bio/0606019 | |
| dc.identifier | Phys. Rev. E 75, 021911 (2007) | |
| dc.identifier | doi:10.1103/PhysRevE.75.021911 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125534 | |
| dc.subject | Neurons and Cognition | |
| dc.title | Scaling law for the transient behavior of type-II neuron models | |
| dc.type | text |