A Computational Study of a Spatiotemporal Mean Field Model Capturing the Emergence of Alpha and Gamma Rhythmic Activity in the Neocortex

A Computational Study of a Spatiotemporal Mean Field Model Capturing the Emergence of Alpha and Gamma Rhythmic Activity in the Neocortex
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DOI:
10.3390/sym10110568
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发表时间:
2018-11
期刊:
Symmetry
影响因子:
--
通讯作者:
W. Haddad
W. Haddad
中科院分区:
其他
文献类型:
--
作者:
W. Haddad

文献摘要

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在本文中,我们分析了 Liley 等人开发的时空平均场模型。为了增进我们对药物和麻醉剂广泛作用的理解。具体来说,我们使用时空平均场模型来捕获新皮质中的电活动,以计算研究大脑中 α 和 γ 波段节律活动的出现。我们表明,模型解中的 α 振荡出现在整个新皮质的全局范围内,而 γ 振荡则可能由于模型动力学的分叉而局部出现。我们使用有限元求解器包求解模型的动态方程,并表明我们的结果验证了分岔分析的预测。
In this paper, we analyze the spatiotemporal mean field model developed by Liley et al. in order to advance our understanding of the wide effects of pharmacological agents and anesthetics. Specifically, we use the spatiotemporal mean field model for capturing the electrical activity in the neocortex to computationally study the emergence of α - and γ -band rhythmic activity in the brain. We show that α oscillations in the solutions of the model appear globally across the neocortex, whereas γ oscillations can emerge locally as a result of a bifurcation in the dynamics of the model. We solve the dynamic equations of the model using a finite element solver package and show that our results verify the predictions made by bifurcation analysis.