A Small Morris-Lecar Neuron Network Gets Close to Critical Only in the Small-World Regimen. (7th November 2013)

• Record Type: Journal Article
• Authors: Cabrera, Juan Luis; Hoenicka, Johans; Macedo, Daniel
• Other Names: Candia Julián Academic Editor.
• Is Part Of: Journal of complex systems. Volume 2013(2013)
• Publication Date: 2013-11-07
• Subjects: System analysis -- Periodicals; Computational complexity -- Periodicals; Coupled problems (Complex systems) -- Periodicals; Systems engineering -- Periodicals; Computational complexity; Coupled problems (Complex systems); System analysis; Systems engineering; Electronic journals; Periodicals; 003
• DOI: 10.1155/2013/675818
• Languages: English
• ISSNs: 2356-7244

Abstract

Abstract : Spontaneous emergence of neuronal activity avalanches characterized by power-law distributions is known to occur in different types of nervous tissues suggesting that nervous systems may operate at a critical regime. Here, we explore the possible relation of this dynamical state with the underlying topology in a small-size network of interconnected Morris-Lecar neurons. Studying numerically different topological configurations, we find that, very close to the efficient small-world situation, the system self-organizes near to a critical branching process with observable distributions in the proximity of a power law with exponents similar to those reported in the experimental literature. Therefore, we conclude that the observed scaling is intimately related only with the small-world topology.