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Brain & Heart                                                          RSA and breathing-specific heart rate



            data  were  reported as  means  ±  1  standard error  of the   (12.1%  ±  0.4%)  and  females  (12.9%  ±  0.5%).  The  mode
            mean and as the coefficient of variation (CV = standard   and the median RSA values were slightly lower than the
            deviation/mean; %). A  two-tailed  t-test was used to   average (10.4% and 10.9%, respectively).
            compare the two groups. Critical values for correlation
            coefficients, differences between slopes (b) and intercepts   3.2. Correlations
            (a) of the linear function, and differences in mean values   3.2.1. Body weight and height
            were considered statistically significant at p < 0.05. Since
            each X-Y relationship contained seven data points (with   Neither  f h nor  f resp showed statistically significant
            7 – 2 = 5° of freedom), the critical value for statistical   correlations with body height or weight, whether males,
            significance of the correlation coefficient r (for a two-tailed   females, or the combined group were considered. Similarly,
            test at  α = 0.05) was 0.754, which corresponds to a   no significant correlation was found between  ΔHR’ and
            coefficient of determination (R ) of 0.569.        body height or weight.
                                    2
            3. Results                                         3.2.2. Breathing frequency and HR

            3.1. Resting values                                Table 2 presents the intercepts (a) and slopes (b) of
                                                               the linear regressions between the cardiorespiratory
            Table  1  summarizes  the  average  anthropometric  and   variables pertinent to RSA and ΔHR’. In all three groups
            cardiorespiratory values relevant to RSA.
              ΔHR’ was observed in all 635 subjects. On average,   Table 2. Respiratory sinus arrhythmia correlations:
            ΔHR’ was 8.6 ± 0.3 bpm, which was similar between males   Cardiorespiratory variables relevant to respiratory sinus
            (8.3 ± 0.3 bpm) and females (8.8 ± 0.3 bpm), but with   arrhythmia
            considerable variability among subjects (Figure 2), ranging   X           A     b      r      p
            from 1 bpm (observed in one male and one female) to
            46 bpm. Normalizing  ΔHR’ by the mean  f h (ΔHR’ as a   All subjects  fresp  16.6  −0.57  0.97  <0.001
            percentage of  f h) did not reduce the variability, because   fh         3.1   0.078  0.85   <0.02
            ΔHR’ showed no correlation with  f h (see below). On          HR’trough  13.3  −0.072  0.903  <0.01
            average, RSA accounted for 12.6% ± 0.5% of f h, with a CV     HR’peak    −4.4   0.18  0.996  <0.001
            of 60%. This was not significantly different between males    fh/fresp   2.2    1.16  0.96   <0.001
                                                                                     3.5    0.98  0.96   <0.001
                                                                          HR’trough/fresp
            Table 1. Respiratory sinus arrhythmia correlations:                      0.7    1.34  0.98   <0.001
            Anthropometric and cardiorespiratory values                   HR’peak/fresp
                                                               Males      fresp      15.9  −0.56  0.98   <0.001
            Parameters  Males (n=272)  Females   Combined                 fh         1.3    0.10  0.86   <0.02
                                     (n=363)     (n=635)
                                                                          HR’trough                       ns
            Age, years   19.5±0.1 (5.1)  19.5±0.1 (4.9)  19.5±0.1 (5.0)
                                                                          HR’peak    −6.5   0.20  0.98   <0.001
            Height, cm   177±0.4 (3.8)  *164±0.5 (4.9)  170±0.6 (5.9)
                                                                          fh/fresp   1.8    1.10  0.91   <0.01
            Weight, kg   74±0.7 (14.9)  *59±0.7 (19.0)  65.4±0.8 (20.4)
                                                                          HR’trough/fresp  2.7  1.002  0.94  <0.01
            fh, bpm     68.6±0.7 (15.6) 69.4±0.7 (15.6)  69.1±0.7 (15.6)
                                                                          HR’peak/fresp  0.8  1.22  0.95  <0.001
            fresp, br/min  13.6±0.3 (30.9)  14±0.2 (27.4)  13.8±0.2 (28.9)
                                                               Females    fresp      17.4  −0.59  0.94   <0.01
            HR’peak, bpm  72.8±0.7 (15.7) 73.8±0.7 (15.4)  73.4±0.7 (15.5)
                                                                          fh                              ns
            HR’trough, bpm  64.5±0.6 (16.4)  65±0.7 (16.9)  64.8±0.7 (16.7)
                                                                          HR’trough  14. 8  −0.091  0.957  <0.001
            ΔHR’, bpm    8.3±0.3 (61.6)  8.8±0.3 (60.0)  8.6±0.3 (60.6)
                                                                          HR’peak    −1.3   0.14  0.961  <0.001
            RSA, %      12.1±0.4 (61.0) 12.9±0.5 (59.7)  12.6±0.5 (60.2)
                                                                          fh/fresp   2.9    1.16  0.96   <0.001
            fh/fresp, beats/  5.6±0.1 (38.6)  5.4±0.1 (34.3)  5.5±0.1 (36.3)
            breath                                                        HR’trough/fresp  4.1  0.98  0.94  <0.01
            Notes: Values are means±1 standard error of the mean in brackets   HR’peak/fresp  0.8  1.43  0.98  <0.001
            or the coefficient of variations (CV=standard deviation/mean,   Notes: Linear regression Y=a + b·X, where Y is the HR’peak-HR’through
            %). fh: Mean heart rate (bpm=beats/min). fresp: Breathing rate   difference (ΔHR’), b is the slope of the linear function, and a is the
            (br/min=breaths/min). HR’: Instantaneous heart rate (bpm).   intercept of the linear function. r: Correlation coefficient. p: Probability
            ΔHR’: Peak-trough difference in instantaneous heart rate (bpm).   of the null hypothesis (i.e., no correlation at the level indicated) to
            RSA: Respiratory sinus arrhythmia expressed in percent of fh (ΔHR’/fh   be correct. fresp: Breathing frequency (breaths/min). fh: Heart rate
            100). fh/fresp: Breathing-specific heart rate (beats/breath). *Statistically   (beats/min). fh/fresp: Breathing-specific heart rate (beats/breath).
            significant difference between genders (p<0.001).  ns: Not significant (p>0.05). Critical value r for two-tail test=0.754).

            Volume X Issue X (2024)                         4                                doi: 10.36922/bh.3956
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