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Brain & Heart                                                          RSA and breathing-specific heart rate



            studies in dogs  found a weaker f resp/f h-ΔHR’ relationship,   increases, the number of heartbeats per breath decreases.
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            likely due to the small sample size and large data variability.  Hypothetically, if a subject’s  f resp matched their  f h, the
                                                               HR’ peak/f resp would be equal to one, and ΔHR’ would be zero.
              What  could  explain  the  physiological  mechanism
            behind the  f resp/f h-ΔHR’ correlation? If RSA is indeed a   The observed stronger correlation (Figure 5) when f h
            mechanism to improve pulmonary gas exchange, it is   was represented by its peak (HR’ peak) rather than its trough
            reasonable to expect that  f resp and  f h would combine to   or  mean  values  supported our  hypothesis.  HR’ peak  is  not
            optimize RSA. In paralyzed dogs ventilated by phrenic   influenced by parasympathetic regulation of  f h, which,
            nerve stimulation (diaphragm pacing) to maintain constant   when present, introduces variability to both f h and HR’ trough.
            ventilation, Hayano and Yasuma 18,19  manipulated  f h to   The  average  f h/f resp  was  approximately  5  beats/min
            either remain constant or synchronize with lung inflation   (Table 1), which is within the range observed in many
            or deflation. These experimental conditions were designed   mammals. In fact, the allometric functions of f h  and f resp
            to simulate, respectively, the absence of RSA, physiological   in terrestrial mammals, spanning body weights from a
            RSA, or “reversed” RSA. The authors found that blood gases   few grams to several tons, show similar slopes and a ratio
            were optimal when f h was increased during the inflation   of about 4 beats/breath.  This could suggest that 4 beats/
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            phase of the breathing cycle. From these experiments on   breath (which, with an average RSA of 20%, corresponds
            anesthetized dogs, the authors proposed that the function   to a 2.4:1.6 distribution of beats between inspiration
            of RSA was to improve ventilation-perfusion matching by   and expiration) represents an optimal compromise for
            adjusting f h to the inspiratory airflow. The present finding   coordinating the two convection systems — the ventilatory
            of a tight  f h/f resp-ΔHR’ relationship (Figure  5) extends   and the cardiovascular — and for maximizing pulmonary
            this concept to healthy humans, supporting Hayano and   gas exchange efficiency.
            Yasuma’s conclusions about RSA. 18,19  To appreciate the   The results of this study clearly indicate that the larger
            significance of the  f h/f resp-ΔHR’ relationship, we must
            consider the fundamental differences between pulmonary   the mismatch between f h and f resp (i.e., the greater f h/f resp),
            air and blood flow.                                the greater the RSA. This finding supports the hypothesis
                                                               that RSA may function to improve gas exchange. A large
              At rest, cardiac output and pulmonary ventilation in   RSA means that heartbeats predominantly occur during
            adult humans are approximately equal, about 5  L/min.   inspiration, keeping the blood flow high when the oxygen
            However, the cardiovascular and respiratory systems   content of air is highest. However, many subjects at rest do
            are designed differently, which leads to contrasting flow   not exhibit a large RSA, and some have a small RSA. Does
            regimes. The parallel arrangement of the chest wall and   this put them at a disadvantage? From the perspective of
            lungs, along with the presence of a dead space, implies   gas exchange, probably yes, but extra-pulmonary factors
            that  pulmonary  ventilation  must  have a  tidal  volume  at   may require a more even distribution of heartbeats than a
            least as large as the dead space, resulting in a relatively   large RSA would allow. For example, excessive arrhythmia
            lower  f resp. Furthermore, the back-and-forth movement   and the resultant irregular blood flow may not be desirable
            of air through the tracheobronchial tree causes airflow to   during  muscle  exercise, when a  more  even  delivery  of
            be highly intermittent: It is zero at the start of inspiration,   oxygen may take precedence over-optimizing pulmonary
            peaks mid-inspiration, and returns to zero again at   gas  exchange.  It  would  be  valuable  to  compare  RSA
            end-inspiration when the air changes direction for the   between resting and exercise conditions in individuals
            expiration. In contrast, the cardiac pump is positioned   with very different resting RSA values. One could predict
            in series with the circulatory system, allowing for high f h   that RSA might decrease during exercise, particularly in
            with small stroke volumes and unidirectional blood flow   subjects with high RSA at rest.
            with minimal oscillation. Although airflow is inherently
            intermittent, the higher the f resp, the less intermittent the   5. Conclusion
            airflow becomes in relation to blood flow. The f h/f resp (also   The breath-by-breath data on ΔHR’ from a large sample
            known as the ratio between HR’ peak to f resp) can be seen as a   revealed that the inspiratory-expiratory difference
            proxy for the difference between cardiac flow and airflow.   averaged approximately 8 beats/min or about 12% of the
            A higher ratio implies greater disparity between the two   mean f h. Variability in sympathetic control was a significant
            flows, suggesting a higher demand for RSA. Conversely, a   contributor  to  the inter-individual  variability  in  RSA.
            lower f h/f resp value may indicate less disparity between the   Consequently, RSA should not be interpreted as an index
            two flows and a lower need for RSA. The slightly better   of parasympathetic control (or “vagal tone”), particularly
            fit of the logarithmic function compared to the linear   considering that  f resp is  a key determinant of RSA.  Most
            function (Figure 5) can be explained by the fact that as f esp   importantly,  f h/f resp showed an excellent correlation with
                                                        r

            Volume X Issue X (2024)                         7                                doi: 10.36922/bh.3956
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