title: Bifurcation properties of the average activity of interconnected neural populations.
abstract: 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.
mesh_terms: D000818:Animals; D001683:Biological Clocks; D003491:Cybernetics; D019706:Excitatory Postsynaptic Potentials; D008433:Mathematics; D008959:Models, Neurological; D009433:Neural Inhibition; D016571:Neural Networks, Computer; D009474:Neurons / Q000502:physiology*; D009833:Olfactory Pathways / Q000502:physiology; D009991:Oscillometry; D051381:Rats; D013569:Synapses / Q000502:physiology