Stability diagrams for bursting neurons modeled by three-variable maps

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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.
7 pages, 3 figures, accepted for publication

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Neurons and Cognition, Disordered Systems and Neural Networks, Chaotic Dynamics, Biological Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/96757

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/q-bio/0402031
 http://arxiv.org/abs/q-bio/0402031
 Physica A, 342, 263-269 (2004)
 doi:10.1016/j.physa.2004.04.087

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arXiv