Novel modes in a Wilson-Cowan network
© Neuman et al. 2015
Published: 4 December 2015
Spontaneous  and synaptically-driven neural activity exhibit a wide variety of dynamics. In the latter case, recent experiments using spike-triggered LFPs  have been able to classify stimulated behavior into two distinct categories: 1) traveling waves with smooth attenuation when the input is weak; and, 2) localized responses when the impulse is strong. Unfortunately, our knowledge of the mechanisms behind these differences is lacking on both the cellular and network scales.
This study, employing the spatiotemporal mean-field Wilson-Cowan equations , provides a model for the nature of these two modes at the population level. Just as in , we detect damped traveling waves with exponential decay when the input is relatively small. When the stimulus increases, the activity stays localized as evidenced by the large slope in the peaks of the activity.
This work was supported by the Dr. Ralph and Marian Falk Medical Research Trust Fund.
- Mao B, Aronov D, Froemke R, Yuste R: Dynamics of Spontaneous Activity in Neocortical Slices. Neuron. 2001, 32 (6): 883-898.PubMedView ArticleGoogle Scholar
- Nauhaus I, Busse L, Ringach D, Carandini M: Robustness of Traveling Waves in Ongoing Activity of Visual Cortex. J. Neuroscience. 2012, 32 (9): 3088-3094.PubMedView ArticleGoogle Scholar
- Wilson H, Cowan J: A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue. Kybernetik. 1973, 13 (2): 55-80.PubMedView ArticleGoogle Scholar
This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated.