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...
Wilson-Cowan modelweakly nonlocal limitWavelet-Galerkin methodWe derive the weakly nonlocal limit of a one - population neuronal field model of the Wilson - Cowan type in one spatial dimension. By transforming this equation to an equation in the firing rate variable, it is shown that stationary...
Wilson-Cowan model of neuronal population with time-varying delays is considered in this paper. Some sufficient conditions for the existence and delay-based exponential stability of a unique almost periodic solution are established. The approaches are based on constructing Lyapunov functionals and the ...
[1]WILSON H R,COWAN J D.Excitatory and inhibitory interactions in localized populations of model neurons[J].Biophys,1972,12(1):1-24. [2]MONTEIRO L H A,BUSSAB M A,CHAUI BERLINCK J G.Analytical results on a Wilson-Cowan neuronal network modified model[J].Theor Biol,2002,219:83-91. ...
In this paper,a model mimicking cortex rhythms is adopted to achieve image enhancement.This model is based on the coupled Wilson-Cowan oscillators with double nodes.The inputs are images to be enhanced and the outputs are node responses of the excited subpopulation.As image experiments show,the ...
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...
We then apply theses results to the homogenization problem of the\nWilson-Cowan type model in a general deterministic setting. Key ingredients in\nthis study are the notion of algebras with mean value and the related concept\nof sigma-convergence.Nils Svanstedt...
Svanstedt, N., Woukeng, J.L.: Homogenization of a Wilson-Cowan model for neural fields in a bounded domain. Nonlinear Anal. Real World Appl. 14, 1705-1715 (2013)N. Svanstedt, J. L. Woukeng, Homogenization of a Wilson-Cowan model for neural fields, Nonlin. Anal. RWA 14 (2013) ...
Here, we derive the mathematical solution for the Wilson-Cowan model under distinct modes of homeostasis and study how they shape model dynamics and the generation of gamma oscillations. That said, we demonstrate that E-I homeostasis, particularly of excitation and intri...
Wilson-Cowan neural-network model in image processing[J] . Kari Mantere,Jussi Parkkinen,Timo Jaaskelainen,Madan M. Gupta.Journal of Mathematical Imaging and Vision . 1992 (2)K. Mantere, J. Parkkinen, T. Jaaskelainen, and M. M. Gupta, "Wilson-Cowan neural-network model in image ...