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Stability diagrams for bursting neurons modeled by three-variable maps | | M. Copelli
; M. H. R. Tragtenberg
; O. Kinouchi
; | | Date: |
13 Feb 2004 | | Journal: | Physica A, 342, 263-269 (2004) | | Subject: | Neurons and Cognition; Chaotic Dynamics; Disordered Systems and Neural Networks; Biological Physics | q-bio.NC cond-mat.dis-nn nlin.CD physics.bio-ph | | 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. | | Source: | arXiv, q-bio.NC/0402031 | | Services: | Forum | Review | PDF | Favorites | |
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