dorsal/arxiv
View SchemaStability diagrams for bursting neurons modeled by three-variable maps
| Authors | M. Copelli, M. H. R. Tragtenberg, O. Kinouchi |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0402031 |
| URL | https://arxiv.org/abs/q-bio/0402031 |
| DOI | 10.1016/j.physa.2004.04.087 |
| Journal | Physica A, 342, 263-269 (2004) |
Abstract
We study a simple map as a minimal model of excitable cells. The map has two fast variables which mimic the behavior of class I neurons, undergoing a sub-critical Hopf bifurcation. Adding a third slow variable allows the system to present bursts and other interesting biological behaviors. Bifurcation lines which locate the excitability region are obtained for different planes in parameter space.
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"abstract": "We study a simple map as a minimal model of excitable cells. The map has two\nfast variables which mimic the behavior of class I neurons, undergoing a\nsub-critical Hopf bifurcation. Adding a third slow variable allows the system\nto present bursts and other interesting biological behaviors. Bifurcation lines\nwhich locate the excitability region are obtained for different planes in\nparameter space.",
"arxiv_id": "q-bio/0402031",
"authors": [
"M. Copelli",
"M. H. R. Tragtenberg",
"O. Kinouchi"
],
"categories": [
"q-bio.NC",
"cond-mat.dis-nn",
"nlin.CD",
"physics.bio-ph"
],
"doi": "10.1016/j.physa.2004.04.087",
"journal_ref": "Physica A, 342, 263-269 (2004)",
"title": "Stability diagrams for bursting neurons modeled by three-variable maps",
"url": "https://arxiv.org/abs/q-bio/0402031"
},
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