Control of heart rate through guided high-rate breathing

Figures

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  Figure 1. Instantaneous breathing rate (blue) and heart rate (red) are shown from data for volunteer 11. Regions of guided breathing are shaded. Markers ‘x’ and ‘+’ correspond to maxima in respiratory signal and R-peaks in ECG signal respectively. Not all of the 10-minute rest interval at the beginning is shown, as this data is not explicitly analysed in this article.

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  Figure 2. Instantaneous breathing rates, normalised by the mean breathing rate of interval 2, are shown by marker ‘x’. The dashed black lines represent the standard deviation of the rate, while the solid black line is the mean breathing rate for that interval. Assuming a volunteer follows the metronome well, the range between standard deviation lines will be small. The normalisation demonstrates the proportional rate of breathing relative to RHR. Data from volunteer 11.

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  Figure 3. Trends in heart rate during the intervals of guided breathing. Black curves correspond to the trends. Red lines specify the mean value (solid line) and standard deviation (dashed lines) of the breathing rate for each interval. All data normalised by the mean breathing rate of interval 2. The intended heart rate response should mean the black curve falls within the red dashed lines for as much of the interval as possible. Data from volunteer 11.

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  Figure 4. Synchrogram for volunteer 11. Shaded regions correspond to the regions of guided breathing. Phase Ψ is shown in radians.

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  Figure 5. Synchronization measures for volunteer 2 (left) and volunteer 3 (right). Figures (a,e) show the phase difference, figures (b,f) show the synchronization index, figures (c,g) show the synchrogram, and figures (d,h) show smoothed heart (black line) and respiratory (blue line) rates. In figures (d,h) red lines specify the mean value (solid line) and standard deviation (dashed lines) of the breathing rate for each interval.

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  Figure 6. Phase differences φ for three guided breathing intervals are shown for volunteer 2. Blue, red and green curves correspond to the first (90% RHR), second (100% RHR) and third (120% RHR) intervals respectively. Phase differences are normalized by 2π.

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  Figure 7. Synchrogram (a) and synchronization index (b) for surrogate data; the mean is 70 BPM and the standard deviation is 3%. Red and magenta dashed lines correspond to λ = 0.7 and λ = 0.9 respectively.

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  Figure 8. Probability density p(Ψ) for experimental data is shown in a bar chart. Phase Ψ is shown in radians.