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Applications of EEG Neuroimaging Data: Event-related Potentials, Spectral Power, and Multiscale Entropy
Published on: June 27, 2013
A-phase Occurrence During Sleep in the Deep Brain Recordings: Multiscale-Entropy and Multiscale-DFA Analysis
Raquel Delgado-Aranda1,2, Juergen Fell3, David Ibarra-Medina4
1Department of Electronics, Information and Bioengineering, Politecnico di Milano, Milano, Italy. r.delgadoaranda@gmail.com.
Brain Topography
|June 16, 2026
Summary
Temporal occurrence of A-phases (TOAP) shows consistent scaling across brain regions during sleep, suggesting a unified temporal structure. Variations in entropy indicate that anatomical location and scale influence A-phase occurrence, potentially linking to sleep instability.
Area of Science:
- Neuroscience
- Sleep Science
- Signal Processing
Background:
- The temporal occurrence of A-phases (TOAP) is a key characteristic of sleep dynamics.
- Understanding TOAP across different brain depths is crucial for elucidating sleep regulation mechanisms.
- Electroencephalogram (EEG) signals provide insights into brain activity during sleep.
Purpose of the Study:
- To evaluate the temporal occurrence of A-phases (TOAP) in superficial and deep EEG recordings.
- To investigate the self-similarity and regulation dynamics of TOAP across different brain depths during sleep.
- To characterize TOAP in scalp, neocortex (NC), and hippocampus (HPC) signals.
Main Methods:
- Analysis of sleep EEG recordings from 10 epileptic patients.
- Representation of TOAP as a binary series (1 for presence, 0 for absence).
- Application of Detrended Fluctuation Analysis (DFA) and entropy metrics (Shannon entropy) for scale-free and pattern analysis.
Main Results:
- Consistent correlation properties in TOAP were found across scalp and deep brain recordings via DFA.
- Monoscale DFA showed persistent long-range correlations; multiscale DFA revealed scale-dependent changes in the scaling exponent.
- Entropy analysis indicated that TOAP pattern distribution varies with brain region and scale, with higher diversity at the scalp and lower in NC and HPC. Shannon entropy correlated positively with cyclic alternating pattern rate.
Conclusions:
- TOAP exhibits consistent scaling across brain regions, suggesting a unified temporal structure and a potential global EEG modulation mechanism during sleep.
- Entropy variations highlight the influence of anatomical location and analysis scale on A-phase occurrence.
- A potential relationship exists between the symbolic entropy of TOAP patterns and sleep instability.
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Before sleep begins, in wakefulness, the brain exhibits primarily beta waves, which are high in frequency and low in amplitude, indicating alertness...
Brain Waves
Brain waves are electrical signals generated by the neurons in the brain, which are regularly monitored to measure mental activities. Brain waves and their frequency ranges can be measured using an electroencephalogram or EEG. There are four main types of brain waves, each with distinct characteristics:

