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The action potential is a complex electrical event that occurs in excitable cells, such as neurons and muscle cells. It consists of several distinct phases, each with specific characteristics.
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A phase diagram combines plots of pressure versus temperature for the liquid-gas, solid-liquid, and solid-gas phase-transition equilibria of a substance. These diagrams indicate the physical states that exist under specific conditions of pressure and temperature and also provide the pressure dependence of the phase-transition temperatures (melting points, sublimation points, boiling points). Regions or areas labeled solid, liquid, and gas represent single phases, while lines or curves represent...
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Whether solid, liquid, or gas, a substance's state depends on the order and arrangement of its particles (atoms, molecules, or ions). Particles in the solid pack closely together, generally in a pattern. The particles vibrate about their fixed positions but do not move or squeeze past their neighbors. In liquids, although the particles are closely spaced, they are randomly arranged. The position of the particles are not fixed—that is, they are free to move past their neighbors to...
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Understanding the inductance of transmission lines is crucial for efficient design and operation in electrical power systems. This discussion delves into the inductance characteristics of single-phase two-wire and three-phase three-wire transmission lines with equal phase spacing.
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Optimizing auditory stimulation timing in NREM sleep using brain-heart rhythms: continuous phase analysis and

Sepehr Sardooeinasab1, Massimiliano de Zambotti2, Fiona C Baker2

  • 1Department of Electrical Engineering, École de Technologie Supérieure, 1100 Notre-Dame St W, Montreal, QC H3C 1K3, Canada.

Sleep
|January 28, 2026
PubMed
Summary
This summary is machine-generated.

Auditory stimulation during sleep is enhanced by precisely timed cues. Integrating heart rate phases with brain oscillations offers a novel, more effective method for improving deep sleep quality.

Keywords:
acoustic stimulationbrain–heart couplingelectroencephalogramheart rateslow oscillationsslow-wave activity

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Area of Science:

  • Neuroscience
  • Sleep Science
  • Cardiology

Background:

  • Auditory stimulation during non-rapid eye movement (NREM) sleep can enhance slow oscillations (SOs) and slow-wave activity (SWA).
  • Precise timing of auditory stimulation to specific SO phases is crucial but challenging.
  • Heart rate (HR) components show potential as complementary timing cues for sleep modulation.

Purpose of the Study:

  • To identify optimal heart rate (HR) phases for auditory stimulation during sleep.
  • To evaluate a multidimensional phase-comparison approach integrating HR and EEG SO phases.
  • To compare the effectiveness of unimodal (EEG SO or HR only) versus combined (EEG-HR) phase-locking strategies.

Main Methods:

  • Analysis of polysomnography (PSG) recordings from 133 adolescents during NREM sleep.
  • Delivery of auditory tones and extraction of instantaneous phases for EEG SO and HR components (LF and HF bands).
  • Comparison of tone-evoked SO amplitude and SWA across unimodal and combined phase-locking strategies.

Main Results:

  • Optimal auditory stimulation timing was near HR-LF up-peak and HR-HF down-peak.
  • Tones at optimal HR phases increased SO amplitude (~22 μV) and SWA (12%).
  • Combined EEG-HR phase-locking yielded the strongest effects: ~38 μV SO amplitude and 32% SWA increase.

Conclusions:

  • Heart rate oscillatory phases provide effective timing cues for closed-loop auditory stimulation.
  • Brain-heart coupling during sleep can be leveraged for sleep modulation.
  • A multidimensional EEG-HR phase-based approach enhances deep sleep more effectively than unimodal strategies, offering a new neuromodulation framework.