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Self-sustained activity in a small-world network of excitable neurons | | Alex Roxin
; Hermann Riecke
; Sara A. Solla
; | | Date: |
25 Sep 2003 | | Subject: | Pattern Formation and Solitons; Disordered Systems and Neural Networks; Neurons and Cognition | nlin.PS cond-mat.dis-nn q-bio.NC | | Abstract: | We study the dynamics of excitable integrate-and-fire neurons in a small-world network. At low densities $p$ of directed random connections, a localized transient stimulus results in either self-sustained persistent activity or in a brief transient followed by failure. Averages over the quenched ensemble reveal that the probability of failure changes from 0 to 1 over a narrow range in $p$; this failure transition can be described analytically through an extension of an existing mean-field result. Exceedingly long transients emerge at higher densities $p$; their activity patterns are disordered, in contrast to the mostly periodic persistent patterns observed at low $p$. The times at which such patterns die out are consistent with a stretched-exponential distribution, which depends sensitively on the propagation velocity of the excitation. | | Source: | arXiv, nlin.PS/0309067 | | Other source: | [GID 89341] pmid15169447 | | Services: | Forum | Review | PDF | Favorites | |
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