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Article Dans Une Revue Biological Cybernetics (Modeling) Année : 2003

Bifurcation properties of the average activity of interconnected neural populations

Arnaud Tonnelier

Résumé

The relevant scale for the study of the electrical activity of neural networks is a problem of mathematical and biological interest. From a continuous model of the cortex activity we derive a simple model of an interconnected pair of excitatory and inhibitory neural populations that describes the activity of a homogeneous network. Our model depends on three parameters that stand for the scale variability of the network. A bifurcation analysis reveals a great variety of patterns that arise from the interplay of excitatory and inhibitory populations provided by synaptic interactions. We emphasize the differences between the dynamical regimes when considering a moderate and a high inhibitory scale. We discuss the consequences on a propagating activity.
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Dates et versions

hal-00393679 , version 1 (09-06-2009)

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  • HAL Id : hal-00393679 , version 1

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Arnaud Tonnelier. Bifurcation properties of the average activity of interconnected neural populations. Biological Cybernetics (Modeling), 2003, 89 (3), pp.179-189. ⟨hal-00393679⟩
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