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Phys Rev Lett. 2000 Mar 20;84(12):2758-61.

Fast response and temporal coherent oscillations in small-world networks.

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Grupo de Neurocomputación Biológica, E.T.S. de Ingeniería Informática, Universidad Autónoma de Madrid, 28049 Madrid, Spain.


We have investigated the role that different connectivity regimes play in the dynamics of a network of Hodgkin-Huxley neurons by computer simulations. The different connectivity topologies exhibit the following features: random topologies give rise to fast system response yet are unable to produce coherent oscillations in the average activity of the network; on the other hand, regular topologies give rise to coherent oscillations, but in a temporal scale that is not in accordance with fast signal processing. Finally, small-world topologies, which fall between random and regular ones, take advantage of the best features of both, giving rise to fast system response with coherent oscillations.

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