منابع مشابه
Analytical results on a Wilson-Cowan neuronal network modified model.
Wilson-Cowan model is employed in studies concerning neuronal networks. This model consists of two nonlinear differential equations that represent the interaction between excitatory and inhibitory populations of neurons. The mutual influence of these populations is described through a sigmoidal function, which is usually chosen as the hyperbolic tangent or the logistic curve. Both choices make ...
متن کاملWilson-Cowan Model
The Wilson-Cowan model describes the evolution of excitatory and inhibitory activity in a synaptically coupled neuronal network. As opposed to being a detailed biophysical model, the system is a coarse-grained description of the overall activity of a large-scale neuronal network, employing just two differential equations. Key parameters in the model are the strength of connectivity between each...
متن کاملWilson–Cowan Equations for Neocortical Dynamics
In 1972-1973 Wilson and Cowan introduced a mathematical model of the population dynamics of synaptically coupled excitatory and inhibitory neurons in the neocortex. The model dealt only with the mean numbers of activated and quiescent excitatory and inhibitory neurons, and said nothing about fluctuations and correlations of such activity. However, in 1997 Ohira and Cowan, and then in 2007-2009 ...
متن کاملSynchronization and desynchronization in a network of locally coupled Wilson-Cowan oscillators
A network of Wilson-Cowan (WC) oscillators is constructed, and its emergent properties of synchronization and desynchronization are investigated by both computer simulation and formal analysis. The network is a 2D matrix, where each oscillator is coupled only to its neighbors. We show analytically that a chain of locally coupled oscillators (the piecewise linear approximation to the WC oscillat...
متن کاملPeriodic Solutions of a One Dimensional Wilson-cowan Type Model
We analyze a time independent integral equation defined on a spatially extended domain which arises in the modeling of neuronal networks. In our survey, the coupling function is oscillatory and the firing rate is a smooth “heaviside-like” function. We will derive an associated fourth order ODE and establish that any bounded solution of the ODE is also a solution of the integral equation. We wil...
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ژورنال
عنوان ژورنال: BMC Neuroscience
سال: 2015
ISSN: 1471-2202
DOI: 10.1186/1471-2202-16-s1-p271