Table of Contents
Journal of Complex Systems
Volume 2013 (2013), Article ID 675818, 7 pages
Research Article

A Small Morris-Lecar Neuron Network Gets Close to Critical Only in the Small-World Regimen

1Laboratorio de Dinámica Estocástica, Centro de Física, Instituto Venezolano de Investigaciones Científicas, Caracas 1020-A, Venezuela
2Instituto de Física de Líquidos y Sistemas Biológicos, CCT-CONICET La Plata, UNLP, 789 Calle 59, 1900 La Plata, Argentina

Received 29 March 2013; Revised 11 September 2013; Accepted 16 September 2013

Academic Editor: Julián Candia

Copyright © 2013 Juan Luis Cabrera et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.