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Brain & Heart                                                          RSA and breathing-specific heart rate
































            Figure 2. Frequency distribution of respiratory sinus arrhythmia in the entire sample, expressed as ΔHR’ (HR’peak - HR’trough, beats/min; left panel) and
            as a percentage of the mean heart rate (ΔHR’/fh, %; right panel)

            (males, females, and combined),  ΔHR’ showed strong
            negative correlations with f resp (Figure 3), with correlation
            coefficients ranging from 0.94 to 0.97. On the contrary,
            the relationships between  f h and  ΔHR’ exhibited lower
            correlation  coefficients,  with  the  correlation  being
            non-significant in females.

            3.2.3. Peak and trough of instantaneous HR
            Both HR’ peak and HR’ trough were significantly correlated
            with ΔHR’ in the combined group, with HR’ peak showing
            an almost perfect linear correlation (r = 0.996, Figure 4).
            However, HR’ trough showed lower correlation coefficients
            in females and in the combined group, and did not reach   Figure  3.  Relationship  between  breathing  frequency  (fresp,  breaths/
            statistical significance in males.                 min) and  ΔHR’ (HR’peak-HR’trough, beats/min). Data were grouped
                                                               into bins, with symbols representing the average value of each bin. Bars
            3.2.4. Breathing-specific HR                       show bidirectional standard errors (where not visible, they fall within
                                                               the symbol size). The oblique dotted line represents the best-fit linear
            The ratio between  f h and  f resp showed a very strong   regression through the data points
            correlation with ΔHR’ in all three groups of subjects. The   Note: r: Correlation coefficient
            correlations between HR’ peak/f resp and  ΔHR’ were even
            stronger,  with correlation  coefficients  ranging  from 0.95   allowing us to construct statistically meaningful functions.
            to 0.98 (Table 2). An almost perfect positive correlation   The results demonstrated an excellent correlation between
            was obtained by fitting a logarithmic function to the data:   f h/f resp and ΔHR’, supporting the concept that RSA may be a
            ΔHR’ = 7.54 ln (HR’ peak/f resp) – 4.10, which resulted in a   mechanism to improve pulmonary gas exchange.
            correlation coefficient of 0.9992 (Figure 5).
                                                               4.1. RSA variability
            4. Discussion                                      The average  ΔHR’ of the group was 8.6 ± 0.3 bpm

            The primary goal of the this analysis is to test the   (approximately 12.5% of the resting f h), with considerable
            hypothesis that RSA is strongly correlated with  f h/f resp.   inter-individual variability that was not correlated with
            The large dataset used in this study helped minimize   anthropometric traits or gender. A similar ΔHR’ (~10 bpm)
            the confounding effects of the inter-subject variability,   emerged from an earlier study by Hirsch and Bishop.  No
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            Volume X Issue X (2024)                         5                                doi: 10.36922/bh.3956
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