Experimental study of electrical FitzHugh–Nagumo neurons with modified excitability

We present an electronical circuit modelling a FitzHugh–Nagumo neuron with a modified excitability. To characterize this basic cell, the bifurcation curves between stability with excitation threshold, bistability and oscillations are investigated. An electrical circuit is then proposed to realize a...

Full description

Saved in:
Bibliographic Details
Published in:Neural networks 2006-06, Vol.19 (5), p.684-693
Main Authors: Binczak, Stéphane, Jacquir, Sabir, Bilbault, Jean-Marie, Kazantsev, Viktor B., Nekorkin, Vladimir I.
Format: Article
Language:English
Subjects:
Action Potentials - physiology
Animals
Bifurcation
Biological Clocks - physiology
Chaos
Chaotic Dynamics
Cognitive science
Dynamical Systems
Electronic neurons
Electronics
Engineering Sciences
Mathematics
Models, Neurological
Neural Networks (Computer)
Neurons - physiology
Neuroscience
Nonlinear Dynamics
Nonlinear Sciences
Oscillometry - methods
Phase map
Synaptic coupling
Synaptic Transmission - physiology
Synchronization
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We present an electronical circuit modelling a FitzHugh–Nagumo neuron with a modified excitability. To characterize this basic cell, the bifurcation curves between stability with excitation threshold, bistability and oscillations are investigated. An electrical circuit is then proposed to realize a unidirectional coupling between two cells, mimicking an inter-neuron synaptic coupling. In such a master–slave configuration, we show experimentally how the coupling strength controls the dynamics of the slave neuron, leading to frequency locking, chaotic behavior and synchronization. These phenomena are then studied by phase map analysis. The architecture of a possible neural network is described introducing different kinds of coupling between neurons.
ISSN:0893-6080
1879-2782
DOI:10.1016/j.neunet.2005.07.011