dorsal/arxiv
View SchemaScaling law for the transient behavior of type-II neuron models
| Authors | Miguel Angel Durán Roa, Mauro Copelli, Osame Kinouchi, Nestor Caticha |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0606019 |
| URL | https://arxiv.org/abs/q-bio/0606019 |
| DOI | 10.1103/PhysRevE.75.021911 |
| Journal | Phys. Rev. E 75, 021911 (2007) |
Abstract
We study the transient regime of type-II biophysical neuron models and determine the scaling behavior of relaxation times $\tau$ near but below the repetitive firing critical current, $\tau \simeq C (I_c-I)^{-\Delta}$. 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 $\Delta = 1/2$. 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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"abstract": "We study the transient regime of type-II biophysical neuron models and\ndetermine the scaling behavior of relaxation times $\\tau$ near but below the\nrepetitive firing critical current, $\\tau \\simeq C (I_c-I)^{-\\Delta}$. For both\nthe Hodgkin-Huxley and Morris-Lecar models we find that the critical exponent\nis independent of the numerical integration time step and that both systems\nbelong to the same universality class, with $\\Delta = 1/2$. For appropriately\nchosen parameters, the FitzHugh-Nagumo model presents the same generic\ntransient behavior, but the critical region is significantly smaller. We\npropose an experiment that may reveal nontrivial critical exponents in the\nsquid axon.",
"arxiv_id": "q-bio/0606019",
"authors": [
"Miguel Angel Dur\u00e1n Roa",
"Mauro Copelli",
"Osame Kinouchi",
"Nestor Caticha"
],
"categories": [
"q-bio.NC"
],
"doi": "10.1103/PhysRevE.75.021911",
"journal_ref": "Phys. Rev. E 75, 021911 (2007)",
"title": "Scaling law for the transient behavior of type-II neuron models",
"url": "https://arxiv.org/abs/q-bio/0606019"
},
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