González-Ramírez L R, Kramer M A
Departamento de Formación Básica Disciplinaria, Unidad Profesional Interdisciplinaria de Ingeniería Campus Hidalgo del Instituto Politécnico Nacional, San Agustín Tlaxiaca, Hidalgo, México.
Department of Mathematics and Statistics, Boston University, Boston, MA, USA.
J Comput Neurosci. 2018 Jun;44(3):393-409. doi: 10.1007/s10827-018-0685-9. Epub 2018 May 24.
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.
在本文中，我们研究了抑制作用对一个基于活动的神经场模型的影响，该模型由一个具有线性适应项的兴奋性群体组成，该线性适应项直接调节兴奋性群体的活动。这样的模型已被用于复制在高密度局部场电位记录中观察到的行波数据（冈萨雷斯 - 拉米雷斯等人，《公共科学图书馆·计算生物学》，11(2)，e1004065，2015）。在这项工作中，我们表明，通过向该模型添加一个抑制性群体，我们仍然可以复制在癫痫发作终止前的人类临床数据中观察到的波特性，但此类波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以及抑制作用的时间尺度。特别是，如果抑制作用相对于兴奋作用的时间尺度较慢，那么即使抑制作用具有相对较强的效果，仍然有可能复制临床数据中观察到的行波模式。然而，如果抑制作用与兴奋作用的时间尺度相同，或者更快，那么当抑制作用变得足够强时，具有所需特征的行波模式就会消失。
