A phenomenological model of seizure initiation suggests network structure may explain seizure frequency in idiopathic generalised epilepsy.
A phenomenological model of seizure initiation suggests network structure may explain seizure frequency in idiopathic generalised epilepsy.
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DOI：
10.1186/2190-8567-2-1
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发表时间：
2012-01-06
影响因子：
2.3
通讯作者：
Terry JR
中科院分区：
文献类型：
--
作者：
Benjamin O;Fitzgerald TH;Ashwin P;Tsaneva-Atanasova K;Chowdhury F;Richardson MP;Terry JR
我们描述了一个由稳定不动点吸引子和稳定极限环吸引子之间的双稳态切换组成的癫痫发作起始的唯象模型。我们确定了我们的模型在存在噪声的情况下的退出时间问题的准解析公式。这个公式--我们将其等同于癫痫发作频率--在我们扩展我们的研究以探索噪音和网络结构对逃逸时间的综合影响之前，进行了数字验证。在这里，我们观察到具有等价第一传递分量的2、3和4节点的弱连通网络都有相同的渐近逃逸时间。我们最终将这项工作扩展到更大的网络，从35名特发性全面性癫痫患者和40名对照组的脑电记录中推断出这一点。在这里，我们发现患者的网络结构与相对于对照的网络结构更短的逃逸时间相关。这些初步发现提示，网络结构可能在癫痫发作的起始和发作频率中起着重要作用。
We describe a phenomenological model of seizure initiation, consisting of a bistable switch between stable fixed point and stable limit-cycle attractors. We determine a quasi-analytic formula for the exit time problem for our model in the presence of noise. This formula--which we equate to seizure frequency--is then validated numerically, before we extend our study to explore the combined effects of noise and network structure on escape times. Here, we observe that weakly connected networks of 2, 3 and 4 nodes with equivalent first transitive components all have the same asymptotic escape times. We finally extend this work to larger networks, inferred from electroencephalographic recordings from 35 patients with idiopathic generalised epilepsies and 40 controls. Here, we find that network structure in patients correlates with smaller escape times relative to network structures from controls. These initial findings are suggestive that network structure may play an important role in seizure initiation and seizure frequency.