元胞自动机作为一种模拟方式,可以完成诸多复杂现象的模拟,它的运作方式可以对重整化得到的模型加以模拟验证,近些年来,很多近临界态(Critical Point)的数值计算都可以通过搭建元胞自动机完成(Ising模型——物理上的临界态、Wilson-Conway模型——神经科学的临界态等) Wilson-Conway模型: 终于来到本文的主角Wilson-Conway模...
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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 equationsVisual maskingContrast perceptionDivisive Normalization and the Wilson–Cowan equations are well-known influential models of nonlinear neural interaction (Carandini and Heeger in Nat Rev Neurosci 13(1):51, 2012; Wilson and Cowan in Kybernetik 13(2):55, 1973). However, they ...
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...
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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 ...
The Wilson-Cowan (WC) equations represent a common means of studying the dynamics between excitatory and inhibitory populations of neurons. A number of recent experimental papers suggest that the cerebral cortex lies in the so-called inhibitory stabilized network (ISN) state, which means that there...
The model is a transformation of the Wilson–Cowan model, which is used to analyze the relationship between two groups of neurons that produce excitatory and inhibitory interactions, and it can simulate the motoneurons and Renshaw intermediate neurons in the hippocampal cells. In addition, it is ...
Wilson–Cowan equations for neocortical dynamics. J Math Neurosci. 2016;6(1):1. MathSciNetJD Cowan, J. Neuman, Wim van Drongelen, "Wilson-Cowan equations for neocortical dynamics", Journal of Mathematical Neuroscience, Vol 6 (1), 2016....