Entropy Analysis of High-Definition Transcranial Electric Stimulation Effects on EEG Dynamics

A foundation of medical research is time series analysis—the behavior of variables of interest with respect to time. Time series data are often analyzed using the mean, with statistical tests applied to mean differences, and has the assumption that data are stationary. Although widely prac...

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Main Authors: Diego C. Nascimento, Gabriela Depetri, Luiz H. Stefano, Osvaldo Anacleto, Joao P. Leite, Dylan J. Edwards, Taiza E. G. Santos, Francisco Louzada Neto
Format: Article
Language:English
Published: MDPI AG 2019-08-01
Series:Brain Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3425/9/8/208
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spelling doaj-cebd65d3be37493e90f204fb109559692020-11-25T02:53:05ZengMDPI AGBrain Sciences2076-34252019-08-019820810.3390/brainsci9080208brainsci9080208Entropy Analysis of High-Definition Transcranial Electric Stimulation Effects on EEG DynamicsDiego C. Nascimento0Gabriela Depetri1Luiz H. Stefano2Osvaldo Anacleto3Joao P. Leite4Dylan J. Edwards5Taiza E. G. Santos6Francisco Louzada Neto7Institute of Mathematical Science and Computing, University of Sao Paulo, Sao Carlos 13566-590, BrazilInstitute of Mathematical Science and Computing, University of Sao Paulo, Sao Carlos 13566-590, BrazilRibeirao Preto Medical School, University of Sao Paulo, Ribeirao Preto 14049-900, BrazilInstitute of Mathematical Science and Computing, University of Sao Paulo, Sao Carlos 13566-590, BrazilRibeirao Preto Medical School, University of Sao Paulo, Ribeirao Preto 14049-900, BrazilMoss Rehabilitation Research Institute, Elkins Park, PA 19027, USARibeirao Preto Medical School, University of Sao Paulo, Ribeirao Preto 14049-900, BrazilInstitute of Mathematical Science and Computing, University of Sao Paulo, Sao Carlos 13566-590, BrazilA foundation of medical research is time series analysis—the behavior of variables of interest with respect to time. Time series data are often analyzed using the mean, with statistical tests applied to mean differences, and has the assumption that data are stationary. Although widely practiced, this method has limitations. Here we present an alternative statistical approach with sample analysis that provides a summary statistic accounting for the non-stationary nature of time series data. This work discusses the use of entropy as a measurement of the complexity of time series, in the context of Neuroscience, due to the non-stationary characteristic of the data. To elucidate our argument, we conducted entropy analysis on a sample of electroencephalographic (EEG) data from an interventional study using non-invasive electrical brain stimulation. We demonstrated that entropy analysis could identify intervention-related change in EEG data, supporting that entropy can be a useful “summary” statistic in non-linear dynamical systems.https://www.mdpi.com/2076-3425/9/8/208complexity measureapproximated entropytime seriesbiosignal
collection DOAJ
language English
format Article
sources DOAJ
author Diego C. Nascimento
Gabriela Depetri
Luiz H. Stefano
Osvaldo Anacleto
Joao P. Leite
Dylan J. Edwards
Taiza E. G. Santos
Francisco Louzada Neto
spellingShingle Diego C. Nascimento
Gabriela Depetri
Luiz H. Stefano
Osvaldo Anacleto
Joao P. Leite
Dylan J. Edwards
Taiza E. G. Santos
Francisco Louzada Neto
Entropy Analysis of High-Definition Transcranial Electric Stimulation Effects on EEG Dynamics
Brain Sciences
complexity measure
approximated entropy
time series
biosignal
author_facet Diego C. Nascimento
Gabriela Depetri
Luiz H. Stefano
Osvaldo Anacleto
Joao P. Leite
Dylan J. Edwards
Taiza E. G. Santos
Francisco Louzada Neto
author_sort Diego C. Nascimento
title Entropy Analysis of High-Definition Transcranial Electric Stimulation Effects on EEG Dynamics
title_short Entropy Analysis of High-Definition Transcranial Electric Stimulation Effects on EEG Dynamics
title_full Entropy Analysis of High-Definition Transcranial Electric Stimulation Effects on EEG Dynamics
title_fullStr Entropy Analysis of High-Definition Transcranial Electric Stimulation Effects on EEG Dynamics
title_full_unstemmed Entropy Analysis of High-Definition Transcranial Electric Stimulation Effects on EEG Dynamics
title_sort entropy analysis of high-definition transcranial electric stimulation effects on eeg dynamics
publisher MDPI AG
series Brain Sciences
issn 2076-3425
publishDate 2019-08-01
description A foundation of medical research is time series analysis—the behavior of variables of interest with respect to time. Time series data are often analyzed using the mean, with statistical tests applied to mean differences, and has the assumption that data are stationary. Although widely practiced, this method has limitations. Here we present an alternative statistical approach with sample analysis that provides a summary statistic accounting for the non-stationary nature of time series data. This work discusses the use of entropy as a measurement of the complexity of time series, in the context of Neuroscience, due to the non-stationary characteristic of the data. To elucidate our argument, we conducted entropy analysis on a sample of electroencephalographic (EEG) data from an interventional study using non-invasive electrical brain stimulation. We demonstrated that entropy analysis could identify intervention-related change in EEG data, supporting that entropy can be a useful “summary” statistic in non-linear dynamical systems.
topic complexity measure
approximated entropy
time series
biosignal
url https://www.mdpi.com/2076-3425/9/8/208
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