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Computational Intelligence and Neuroscience
Volume 2018, Article ID 6858176, 6 pages
Research Article

On Synchronizing Coupled Retinogeniculocortical Pathways: A Toy Model

1Escola de Engenharia, Universidade Presbiteriana Mackenzie, Rua da Consolação, No. 896, 01302-907 São Paulo, SP, Brazil
2Departamento de Engenharia de Telecomunicações e Controle, Universidade de São Paulo, Av. Prof. Luciano Gualberto, Travessa 3, No. 380, 05508-900 São Paulo, SP, Brazil

Correspondence should be addressed to L. H. A. Monteiro; rb.eiznekcam@mziul

Received 31 August 2017; Revised 28 January 2018; Accepted 6 February 2018; Published 8 March 2018

Academic Editor: Christian W. Dawson

Copyright © 2018 B. L. Mayer and L. H. A. Monteiro. 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.


A Newman-Watts graph is formed by including random links in a regular lattice. Here, the emergence of synchronization in coupled Newman-Watts graphs is studied. The whole neural network is considered as a toy model of mammalian visual pathways. It is composed by four coupled graphs, in which a coupled pair represents the lateral geniculate nucleus and the visual cortex of a cerebral hemisphere. The hemispheres communicate with each other through a coupling between the graphs representing the visual cortices. This coupling makes the role of the corpus callosum. The state transition of neurons, supposed to be the nodes of the graphs, occurs in discrete time and it follows a set of deterministic rules. From periodic stimuli coming from the retina, the neuronal activity of the whole network is numerically computed. The goal is to find out how the values of the parameters related to the network topology affect the synchronization among the four graphs.