UNLABELLED Measurements of neuronal signals during human seizure activity and evoked epileptic activity in experimental models suggest that, in these pathological states, the individual nerve cells experience an activity driven depolarization block, i.e. they saturate. We examined the effect of such a saturation in the Wilson-Cowan formalism by adapting the nonlinear activation function; we substituted the commonly applied sigmoid for a Gaussian function. We discuss experimental recordings during a seizure that support this substitution. Next we perform a bifurcation analysis on the Wilson-Cowan model with a Gaussian activation function. The main effect is an additional stable equilibrium with high excitatory and low inhibitory activity. Analysis of coupled local networks then shows that such high activity can stay localized or spread. Specifically, in a spatial continuum we show a wavefront with inhibition leading followed by excitatory activity. We relate our model simulations to observations of spreading activity during seizures. ELECTRONIC SUPPLEMENTARY MATERIAL The online version of this article (doi:10.1186/s13408-015-0019-4) contains supplementary material 1.

中文翻译：

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用去极化阻滞在Wilson-cowan模型中模拟局灶性癫痫活动。

在实验模型中对癫痫发作和诱发癫痫发作活动期间神经元信号的测量表明，在这些病理状态下，单个神经细胞会受到活动驱动的去极化阻滞，即饱和。通过调整非线性激活函数，我们研究了威尔逊-科恩形式主义中这种饱和的影响。我们用通用的S形代替高斯函数。我们讨论了癫痫发作期间支持这种替代的实验性录音。接下来，我们对具有高斯激活函数的Wilson-Cowan模型进行分叉分析。主要作用是具有高兴奋性和低抑制活性的附加稳定平衡。然后，对耦合的本地网络的分析表明，这样的高活动可以保持本地化或扩散。具体而言，在空间连续体中，我们显示了波前，先是抑制，然后是兴奋性活动。我们将模型模拟与癫痫发作期间传播活动的观察联系起来。电子补充材料本文的在线版本（doi：10.1186 / s13408-015-0019-4）包含补充材料1。