Details

Autor(en) / Beteiligte

• Roxin, Alex
• Riecke, Hermann
• Solla, Sara A

Titel

Self-sustained activity in a small-world network of excitable neurons

Ist Teil von

• Physical review letters, 2004-05, Vol.92 (19), p.198101-198101, Article 198101

Ort / Verlag

United States

Erscheinungsjahr

2004

Link zum Volltext

Quelle

American Physical Society [PROLA]

Beschreibungen/Notizen

• 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 either in 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 follow a stretched-exponential distribution, which depends sensitively on the propagation velocity of the excitation.