The coexistence of the broad-band fluctuation and alpha rhythm of the brain dynamics is studied based on the zero-crossing property of the local electroencephalographic (EEG) recording in eyes closed and eyes open. A two-component zero-crossing scenario, consisting of a broad-band fractal and narrow-band rhythm components, is assumed. Scaling is found in the power law distribution p(tau) approximately tau(-nu) of the crossing time interval tau of the broad-band fluctuation. In alpha dominant brain state, the alpha rhythm interval L also exhibits scaling in the form of power law distribution: p(L) approximately L(phi). Our main result is the relationship nu + phi approximately 3 that characterizes the organization of these two prominent features of the brain dynamics. The possible role of self-organized criticality of punctuated equilibrium in this organization is discussed.

译文

基于闭眼和睁眼局部脑电图 (EEG) 记录的零交叉特性,研究了大脑动力学的宽带波动和 α 节律的共存。假设由宽带分形和窄带节奏分量组成的两分量过零方案。在宽带波动的交叉时间间隔tau的幂律分布p(tau) 中发现了约tau(-nu) 的缩放。在 α 显性大脑状态下,α 节律间隔L还表现出幂律分布形式的缩放: p(L) 近似L(phi)。我们的主要结果是nu phi大约3的关系,该关系表征了大脑动力学这两个突出特征的组织。讨论了点状平衡的自组织临界性在该组织中的可能作用。

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