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A repetitive modular oscillation underlies human brain electric activity

机译:重复的模块化振荡下潜人脑电动活动

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摘要

The modular function j, central in the assessment of abstract mathematical problems, describes elliptic, intertwined trajectories that move in the planes of both real and complex numbers. Recent clues suggest that the j-function might display a physical counterpart, equipped with a quantifiable real component and a hidden imaginary one, currently undetectable by our senses and instruments. Here we evaluate whether the real part of the modular function can be spotted in the electric activity of the human brain. We assessed EEGs from five healthy males, eyes-closed and resting state, and superimposed the electric traces with the bidimensional curves predicted by the j-function. We found that the two trajectories matched in more than 85% of cases, independent from the subtending electric rhythm and the electrode location. Therefore, the real part of the j-function's peculiar wave is ubiquitously endowed all over normal EEGs paths. We discuss the implications of such correlation in neuroscience and neurology, highlighting how the j-function might stand for the one of the basic oscillations of the brain, and how the still unexplored imaginary part might underlie several physiological and pathological nervous features. (C) 2017 Elsevier B.V. All rights reserved.
机译:模块化函数J,Central在评估抽象数学问题中,描述了在实际和复杂数字的平面中移动的椭圆形,交错的轨迹。最近的线索表明,J函数可能会显示物理对应物,配备可量化的真实组件和隐藏的想象,目前我们的感官和仪器无法察觉。在这里,我们评估模块化功能的真实部分是否可以在人脑的电活动中被发现。我们评估了来自五个健康的男性,眼睛闭合和休息状态的脑电图,并叠加电迹线,其中j函数预测的趋势曲线。我们发现,两种轨迹在超过85%的情况下匹配,独立于布线电气节奏和电极位置。因此,j函数的特殊波的实际部分普遍存在于正常的egs路径。我们讨论了神经科学和神经内容中这种相关性的影响,突出了J函数如何掌握大脑的基本振荡之一,以及仍然未开发的虚构部分如何利用几种生理和病理神经功能。 (c)2017年Elsevier B.V.保留所有权利。

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