Neuronal behavior with sub-threshold oscillations and spiking/bursting activity using a piecewise linear two-dimensional map

Authors:
Carlos Aguirre;Doris Campos;Pedro Pascual;Eduardo Serrano
Affiliations:
GNB, Escuela Politécnica Superior, Universidad Autonoma de Madrid, Madrid, Spain;GNB, Escuela Politécnica Superior, Universidad Autonoma de Madrid, Madrid, Spain;GNB, Escuela Politécnica Superior, Universidad Autonoma de Madrid, Madrid, Spain;GNB, Escuela Politécnica Superior, Universidad Autonoma de Madrid, Madrid, Spain
Venue:
ICANN'05 Proceedings of the 15th international conference on Artificial Neural Networks: biological Inspirations - Volume Part I
Year:
2005

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Abstract

A phenomenological neuronal model based on a coupled piecewise linear two–dimensional map is presented. The model mimics many of the neuronal features such as spiking, bursting and subthreshold activity. The model requires a computational effort lower than most of the phenomenological or differential neuronal models and its behavior is coherent with the one present in the other models. The regimes of synchronization of a pair of coupled maps is also explored.