A model of spiking-bursting neuronal behavior 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:
IWANN'05 Proceedings of the 8th international conference on Artificial Neural Networks: computational Intelligence and Bioinspired Systems
Year:
2005

Citing 1
Cited 1

Simple model of spiking neurons

IEEE Transactions on Neural Networks

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

ICANN'05 Proceedings of the 15th international conference on Artificial Neural Networks: biological Inspirations - Volume Part I

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Abstract

Models of neurons based on iterative maps allows the simulation of big networks of coupled neurons without loss of biophysical properties such as spiking, bursting or tonic bursting and with an affordable computational effort. A piecewise linear two dimensional map with one fast and one slow variable is used to model spiking–bursting neural behavior. This map shows oscillations similar to other phenomenological models based on maps that require a much higher computational effort. The dynamics of coupled neurons is studied for different coupling strengths.