Research Article | | Peer-Reviewed

Analysis of Electroencephalographic Signals Using the Root Mean Square (RMS) Fluctuation Function: Applicable Sample Test

Received: 19 August 2024     Accepted: 9 September 2024     Published: 29 September 2024
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Abstract

Brain signals extracted through brain-computer interface systems (BCI2000- http://www.bci2000.org) allow researchers and computer scientists to cooperate with techniques, mathematical models and statistical inferences that allow the interpretation of a variety of signals provided by people with conditions that significantly affect the ability to move or perform motor activities due to limitations in muscles, bones or nervous system. For this study, we propose a preliminary test with the root mean square (rms) fluctuation function, with EEG data, whose task was the response given to real/imaginary motor stimulus. To validate the model and all the steps up to the configuration of the rms function, we chose the information contained in the EEG of subject S003, available in the public database https://physionet.org/content/eegmmidb/1.0.0/. Considering the distribution of electrodes in the brain (lobes: frontal, parietal, temporal and occipital) and given the data availability conditions (10 - 10 system, EDF format and 160 samples per second), we analyzed 12 of the 64 channels and four stimuli, namely: opening and closing the left or right fist, imagining opening and closing the left or right fist, opening and closing both fists or both feet and imagining opening and closing both fists or both feet. We evaluated their fluctuations individually and the amplitudes of channels 32 and 37 in relation to the others (11, 22, 24, 43, 44, 49, 54, 61, 63 and 64). We observed quantitative similarities when the brain performs the same real/imaginary motor task and that the time of the amplitude changes with the increase of the scale n (time scales). In all experiments (S003_R3, S003_R4, S003_R5, S003_R6), channel 32 x 24, for n > 20 (15 seconds) was smaller than the others, showing that channel 32 (left hemisphere) has the largest fluctuation. From data processing (.EDF) to visualization of FDFA/∆log curves, we conclude that it is possible to replicate the study for more channels, as well as to investigate other types of activities in the human brain adapted to potential variations (DDP) generated by neurons via signals extracted from the EEG device.

Published in Mathematical Modelling and Applications (Volume 9, Issue 3)
DOI 10.11648/j.mma.20240903.13
Page(s) 70-75
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Time Series, RMS Fluctuation Function, Electroencephalogram (EEG)

References
[1] BLINOWSKA, Katarzyna; DURKA, Piotr. Electroencephalography (eeg). Wiley encyclopedia of biomedical engineering, 2006.
[2] SOUFINEYESTANI, Mahsa; DOWLING, Dale; KHAN, Arshia. Electroencephalography (EEG) technology applications and available devices. Applied Sciences, v. 10, n. 21, p. 7453, 2020.
[3] Beres, A. M. Time is of the Essence: A Review of Electroencephalography (EEG) and Event-Related Brain Potentials (ERPs) in Language Research. Appl Psychophysiol Biofeedback 42, 247–255 (2017).
[4] WILDE, Elisabeth A. et al. Loss of consciousness is related to white matter injury in mild traumatic brain injury. Journal of neurotrauma, v. 33, n. 22, p. 2000-2010, 2016.
[5] BAGNATO, S. et al. Prognostic value of standard EEG in traumatic and non-traumatic disorders of consciousness following coma. Clinical Neurophysiology, v. 121, n. 3, p. 274-280, 2010.
[6] HAUSER, W. Allen. Seizure disorders: the changes with age. Epilepsia, v. 33, p. 6-14, 1992.
[7] MESQUITA, Victor Barreto; OLIVEIRA FILHO, Florêncio Mendes; RODRIGUES, Paulo Canas. Detection of crossover points in detrended fluctuation analysis: an application to EEG signals of patients with epilepsy. Bioinformatics, v. 37, n. 9, p. 1278-1284, 2021.
[8] FAHY, Brenda G.; CHAU, Destiny F. The technology of processed electroencephalogram monitoring devices for assessment of depth of anesthesia. Anesthesia & Analgesia, v. 126, n. 1, p. 111-117, 2018.
[9] ZHANG, X.-S.; ROY, Rob J.; JENSEN, Erik W. EEG complexity as a measure of depth of anesthesia for patients. IEEE transactions on biomedical engineering, v. 48, n. 12, p. 1424-1433, 2001.
[10] Zebende, G. F., Oliveira-Filho, F. M., and Leyva-Cruz, J. A. (2017). Autocorrelation in the motor/imaginary human EEG signals: A vision about the FDFA fluctuations. PLOS ONE, 12(9).
[11] Oliveira-Filho, F. M., Leyva-Cruz, J. A., and Zebende, G. F. (2019). Analysis of the EEG bio-signals during the reading task by DFA method. Physica A, 525: 664-671.
[12] SAMIEE, Kaveh; KOVACS, Peter; GABBOUJ, Moncef. Epileptic seizure classification of EEG time-series using rational discrete short-time Fourier transform. IEEE transactions on Biomedical Engineering, v. 62, n. 2, p. 541-552, 2014.
[13] Schalk, G., McFarland, D. J., Hinterberger, T., Birbaumer, N., Wolpaw, J. R. BCI2000: A General-Purpose Brain-Computer Interface (BCI) System. IEEE Transactions on Biomedical Engineering 51(6): 1034-1043, 2004.
[14] Goldberger, A., Amaral, L., Glass, L., Hausdorff, J., Ivanov, P. C., Mark, R.,... & Stanley, H. E. (2000). PhysioBank, PhysioToolkit, and PhysioNet: Components of a new research resource for complex physiologic signals. Circulation [Online]. 101 (23), pp. e215–e220.
[15] OLIVEIRA FILHO, F. M. et al. Statistical study of the EEG in motor tasks (real and imaginary). Physica A: Statistical Mechanics and its Applications, v. 622, p. 128802, 2023.
[16] FILHO, Florencio Mendes Oliveira; ZEBENDE, Gilney Figueira. Temporal Coherence in the Synchronization of Brain Electrical Activity Patterns: An Application with the RMS Fluctuation Function. Journal ISSN, v. 2766, p. 2276, 2024.
[17] OLIVEIRA FILHO, Florêncio Mendes; GUEDES, Everaldo Freitas; RODRIGUES, Paulo Canas. Networks analysis of Brazilian climate data based on the DCCA cross-correlation coefficient. Plos one, v. 18, n. 9, p. e0290838, 2023.
[18] Zebende, G. F. (2011). DCCA cross-correlation coefficient: Quantifying level of crosscorrelation. Physica A, 390(4): 614–618.
[19] VASSOLER, R. T.; ZEBENDE, G. F. DCCA cross-correlation coefficient apply in time series of air temperature and air relative humidity. Physica A: Statistical Mechanics and its Applications, v. 391, n. 7, p. 2438-2443, 2012.
[20] MENDES OLIVEIRA FILHO, FLORÊNCIO; SANTANA, J. P. C. Difference in the Range of Floating in Individuals Diagnosed with Amyotrophic Lateral Sclerosis: A Preliminary Study with the RMS Float Function. INTERNATIONAL JOURNAL OF RESEARCH IN ENGINEERING AND SCIENCE, v. 10, p. 01-06, 2022. ISSN (Online): 2320-9364, ISSN (Print): 2320-9356.
Cite This Article
  • APA Style

    Filho, F. M. O., Oliveira, P. H. B. D., Santos, S. E. D. F., Santos, A. A. B., Zebende, G. F. (2024). Analysis of Electroencephalographic Signals Using the Root Mean Square (RMS) Fluctuation Function: Applicable Sample Test. Mathematical Modelling and Applications, 9(3), 70-75. https://doi.org/10.11648/j.mma.20240903.13

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    ACS Style

    Filho, F. M. O.; Oliveira, P. H. B. D.; Santos, S. E. D. F.; Santos, A. A. B.; Zebende, G. F. Analysis of Electroencephalographic Signals Using the Root Mean Square (RMS) Fluctuation Function: Applicable Sample Test. Math. Model. Appl. 2024, 9(3), 70-75. doi: 10.11648/j.mma.20240903.13

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    AMA Style

    Filho FMO, Oliveira PHBD, Santos SEDF, Santos AAB, Zebende GF. Analysis of Electroencephalographic Signals Using the Root Mean Square (RMS) Fluctuation Function: Applicable Sample Test. Math Model Appl. 2024;9(3):70-75. doi: 10.11648/j.mma.20240903.13

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  • @article{10.11648/j.mma.20240903.13,
      author = {Florêncio Mendes Oliveira Filho and Pedro Henrique Barros de Oliveira and Sanval Ebert de Freitas Santos and Alex Alisson Bandeira Santos and Gilney Figueira Zebende},
      title = {Analysis of Electroencephalographic Signals Using the Root Mean Square (RMS) Fluctuation Function: Applicable Sample Test
    },
      journal = {Mathematical Modelling and Applications},
      volume = {9},
      number = {3},
      pages = {70-75},
      doi = {10.11648/j.mma.20240903.13},
      url = {https://doi.org/10.11648/j.mma.20240903.13},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.mma.20240903.13},
      abstract = {Brain signals extracted through brain-computer interface systems (BCI2000- http://www.bci2000.org) allow researchers and computer scientists to cooperate with techniques, mathematical models and statistical inferences that allow the interpretation of a variety of signals provided by people with conditions that significantly affect the ability to move or perform motor activities due to limitations in muscles, bones or nervous system. For this study, we propose a preliminary test with the root mean square (rms) fluctuation function, with EEG data, whose task was the response given to real/imaginary motor stimulus. To validate the model and all the steps up to the configuration of the rms function, we chose the information contained in the EEG of subject S003, available in the public database https://physionet.org/content/eegmmidb/1.0.0/. Considering the distribution of electrodes in the brain (lobes: frontal, parietal, temporal and occipital) and given the data availability conditions (10 - 10 system, EDF format and 160 samples per second), we analyzed 12 of the 64 channels and four stimuli, namely: opening and closing the left or right fist, imagining opening and closing the left or right fist, opening and closing both fists or both feet and imagining opening and closing both fists or both feet. We evaluated their fluctuations individually and the amplitudes of channels 32 and 37 in relation to the others (11, 22, 24, 43, 44, 49, 54, 61, 63 and 64). We observed quantitative similarities when the brain performs the same real/imaginary motor task and that the time of the amplitude changes with the increase of the scale n (time scales). In all experiments (S003_R3, S003_R4, S003_R5, S003_R6), channel 32 x 24, for n > 20 (15 seconds) was smaller than the others, showing that channel 32 (left hemisphere) has the largest fluctuation. From data processing (.EDF) to visualization of FDFA/∆log curves, we conclude that it is possible to replicate the study for more channels, as well as to investigate other types of activities in the human brain adapted to potential variations (DDP) generated by neurons via signals extracted from the EEG device.
    },
     year = {2024}
    }
    

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  • TY  - JOUR
    T1  - Analysis of Electroencephalographic Signals Using the Root Mean Square (RMS) Fluctuation Function: Applicable Sample Test
    
    AU  - Florêncio Mendes Oliveira Filho
    AU  - Pedro Henrique Barros de Oliveira
    AU  - Sanval Ebert de Freitas Santos
    AU  - Alex Alisson Bandeira Santos
    AU  - Gilney Figueira Zebende
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    JF  - Mathematical Modelling and Applications
    JO  - Mathematical Modelling and Applications
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    EP  - 75
    PB  - Science Publishing Group
    SN  - 2575-1794
    UR  - https://doi.org/10.11648/j.mma.20240903.13
    AB  - Brain signals extracted through brain-computer interface systems (BCI2000- http://www.bci2000.org) allow researchers and computer scientists to cooperate with techniques, mathematical models and statistical inferences that allow the interpretation of a variety of signals provided by people with conditions that significantly affect the ability to move or perform motor activities due to limitations in muscles, bones or nervous system. For this study, we propose a preliminary test with the root mean square (rms) fluctuation function, with EEG data, whose task was the response given to real/imaginary motor stimulus. To validate the model and all the steps up to the configuration of the rms function, we chose the information contained in the EEG of subject S003, available in the public database https://physionet.org/content/eegmmidb/1.0.0/. Considering the distribution of electrodes in the brain (lobes: frontal, parietal, temporal and occipital) and given the data availability conditions (10 - 10 system, EDF format and 160 samples per second), we analyzed 12 of the 64 channels and four stimuli, namely: opening and closing the left or right fist, imagining opening and closing the left or right fist, opening and closing both fists or both feet and imagining opening and closing both fists or both feet. We evaluated their fluctuations individually and the amplitudes of channels 32 and 37 in relation to the others (11, 22, 24, 43, 44, 49, 54, 61, 63 and 64). We observed quantitative similarities when the brain performs the same real/imaginary motor task and that the time of the amplitude changes with the increase of the scale n (time scales). In all experiments (S003_R3, S003_R4, S003_R5, S003_R6), channel 32 x 24, for n > 20 (15 seconds) was smaller than the others, showing that channel 32 (left hemisphere) has the largest fluctuation. From data processing (.EDF) to visualization of FDFA/∆log curves, we conclude that it is possible to replicate the study for more channels, as well as to investigate other types of activities in the human brain adapted to potential variations (DDP) generated by neurons via signals extracted from the EEG device.
    
    VL  - 9
    IS  - 3
    ER  - 

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