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Brain electrical activity Obeys Benford's Law

机译:脑电活动遵守本福德定律

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BACKGROUND:: Monitoring and automated online analysis of brain electrical activity are frequently used for verifying brain diseases and for estimating anesthetic depth in subjects undergoing surgery. However, false diagnosis with potentially catastrophic consequences for patients such as intraoperative awareness may result from unnoticed irregularities in the process of signal analysis. Here we ask whether Benford's Law can be applied to detect accidental or intended modulation of neurophysiologic signals. This law states that the first digits of many datasets such as atomic weights or river lengths are distributed logarithmically and not equally. In particular, we tested whether data obtained from electrophysiological recordings of human patients representing global activity and organotypic slice cultures representing pure cortical activity follow the predictions of Benford's Law in the absence and in the presence of an anesthetic drug. METHODS:: Electroencephalographic (EEG) recordings from human subjects and local field potential recordings from cultured cortical brain slices were obtained before and after administration of sevoflurane. The first digit distribution of the datasets was compared with the Benford distribution. RESULTS:: All datasets showed a Benford-like distribution. Nevertheless, distributions belonging to different anesthetic levels could be distinguished in vitro and in human EEGs. With sevoflurane, the first digit distribution of the in vitro data becomes steeper, while it flattens for EEG data. In the presence of high frequency noise, the Benford distribution falls apart. CONCLUSIONS:: In vitro and EEG data show a Benford-like distribution which is altered by sevoflurane or destroyed by noise used to simulate artefacts. These findings suggest that algorithms based on Benford's Law can be successfully used to detect sevoflurane-induced signal modulations in electrophysiological recordings.
机译:背景:脑电活动的监测和自动在线分析经常用于验证脑部疾病和估计接受手术的对象的麻醉深度。但是,对患者可能造成灾难性后果(例如术中意识)的错误诊断可能是由于信号分析过程中未注意到的不规则性造成的。在这里,我们问是否可以应用本福德定律来检测神经生理信号的意外或有意调制。该法则指出,许多数据集的前几位(例如原子量或河流长度)是对数分布的,而不是均等分布的。特别是,我们测试了在没有麻醉药和有麻醉药的情况下,从代表全球活动的人类患者的电生理记录和代表纯皮质活动的器官型切片培养物中获得的数据是否遵循本福德定律的预测。方法:在给予七氟醚之前和之后,获得了来自人类受试者的脑电图(EEG)记录和来自培养的皮质脑片的局部场电位记录。将数据集的第一位数分布与本福德分布进行比较。结果:所有数据集都显示出类似本福德的分布。然而,可以在体外和人脑电图中区分属于不同麻醉水平的分布。使用七氟醚时,体外数据的第一个数字分布变得更陡峭,而对于EEG数据则变平了。在存在高频噪声的情况下,本福德分布会崩溃。结论:体外和脑电数据表明,本福德样分布被七氟醚改变或被用于模拟假象的噪声破坏。这些发现表明,基于本福德定律的算法可以成功地用于检测电生理记录中七氟醚引起的信号调制。

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