Comparison of single neuron models in terms of synchronization propensity

Year: 2008

Authors: Sungar N., Allaria E., Leyva I., Arecchi F.T.

Autors Affiliation: Calif Polytech State Univ San Luis Obispo, San Luis Obispo, CA 93407 USA;
Istituto Naionale di Ottica Applicata, Largo E. Fermi6, 50125 Florence, Italy;
Sincrotrone Trieste, I-34012 Trieste, Italy;
Univ Rey Juan Carlos, Mostoles Madrid 28933, Spain;
Univ Florence, Dept Phys, Florence, Italy

Abstract: A plausible model for coherent perception is the synchronization of chaotically distributed neural spike trains over wide cortical areas. A recently introduced propensity criterion provides a tool for a quantitative comparison of different neuron models in terms of their ability to synchronize to an applied perturbation. We explore the propensity of several systems and indicate the requirements to be satisfied by a plausible candidate for modeling neuronal activity. Our results show that the conflicting requirements of stability and sensitivity leading to high propensity to synchronization can be satisfied by a strongly nonuniform attractor made of two distinct regions: a saddle focus plus a sufficiently separated saddle node.

Journal/Review: CHAOS

Volume: 18 (3)      Pages from: 033108  to: 033108

KeyWords: thermally sensitive neurons; hodgkin-huxley model; signal-transduction; chaotic systems;
DOI: 10.1063/1.2959101

Citations: 5
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