Stability diagrams for bursting neurons modeled by three-variable maps

Details Stability diagrams for bursting neurons modeled by three-variable maps Stability diagrams for bursting neurons modeled by three-variable maps

2004-02-13

arxiv.org/abs/q-bio/0402031v1

Physica A, 342, 263-269 (2004)

Biology

Quantitative Biology

Neurons and Cognition

7 pages, 3 figures, accepted for publication

Scientific paper

10.1016/j.physa.2004.04.087

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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