In this paper we study the influence of inhibition on an activity-based neural field model consisting of an excitatory population with a linear adaptation term that directly regulates the activity of the excitatory population. Such a model has been used to replicate traveling wave data as observed in high density local field potential recordings (González-Ramírez et al. PLoS Computational Biology, 11(2), e1004065, 2015). In this work, we show that by adding an inhibitory population to this model we can still replicate wave properties as observed in human clinical data preceding seizure termination, but the parameter range over which such waves exist becomes more restricted. This restriction depends on the strength of the inhibition and the timescale at which the inhibition acts. In particular, if inhibition acts on a slower timescale relative to excitation then it is possible to still replicate traveling wave patterns as observed in the clinical data even with a relatively strong effect of inhibition. However, if inhibition acts on the same timescale as the excitation, or faster, then traveling wave patterns with the desired characteristics cease to exist when the inhibition becomes sufficiently strong.

中文翻译：

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抑制对人类癫痫发作终止神经场模型中行波解的影响。

在本文中，我们研究了抑制对基于活动的神经场模型的影响，该模型由具有线性调节项的兴奋性种群组成，该项直接调节兴奋性种群的活动。这样的模型已被用来复制行波数据，如在高密度局部场电势记录中所观察到的（González-Ramírez等人，《公共科学图书馆·计算生物学》（PLoS Computational Biology），11（2），e1004065，2015年）。在这项工作中，我们表明，通过向该模型中添加抑制性种群，我们仍然可以复制癫痫发作终止之前在人类临床数据中观察到的波动特性，但是这种波动存在的参数范围变得更加受限。这种限制取决于抑制的强度和抑制作用的时间范围。特别是，如果抑制作用相对于激发作用作用的时间范围较慢，则即使在抑制作用相对较强的情况下，仍可以复制临床数据中观察到的行波模式。但是，如果抑制作用与激发作用在相同的时间尺度上或更快速地作用，那么当抑制作用变得足够强时，具有所需特性的行波模式将不复存在。