Abstract

Discharges of different epilepsies are characterized by different signal shape and duration. The authors adhere to the hypothesis that spike-wave discharges are long transient processes rather than attractors. This helps to explain some experimentally observed properties of discharges, including the absence of a special termination mechanism and quasi-regularity. Analytical approaches mostly cannot be applied to studying transient dynamics in large networks. Therefore, to test the observed phenomena for universality one has to show that the same results can be achieved using different model types for nodes and different connectivity terms. Here, we study a class of simple network models of a thalamocortical system and show that for the same connectivity matrices long, but finite in time quasi-regular processes mimicking epileptic spike-wave discharges can be found using nodes described by three neuron models: FitzHugh – Nagumo, Morris – Lecar and Hodgkin – Huxley. This result takes place both for linear and nonlinear sigmoid coupling.

中文翻译：

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癫痫发作振荡网络模型中的通用瞬态动力学

摘要

不同癫痫的放电具有不同的信号形状和持续时间。作者坚持这样的假设：尖波放电是长瞬态过程而不是吸引子。这有助于解释一些实验观察到的放电特性，包括缺乏特殊的终止机制和准规律性。分析方法大多不能应用于研究大型网络中的瞬态动力学。因此，为了测试观察到的现象的普遍性，必须证明使用不同的节点模型类型和不同的连通性项可以实现相同的结果。在这里，我们研究了丘脑皮质系统的一类简单网络模型，并表明对于相同的连接矩阵，长但时间有限的准规则过程可以使用三个神经元模型描述的节点找到模仿癫痫尖波放电的节点： – 南云、莫里斯 – 勒卡和霍奇金 – 赫胥黎。对于线性和非线性 sigmoid 耦合都会出现此结果。