Abstract
Background
Postexercise heart rate (HR) recovery presents an exponential decay, with two distinct phases: a fast phase, characterized by abrupt decay of HR, and determined by parasympathetic reactivation; and a slow phase, characterized by gradual decay of HR, and predominantly determined by sympathetic withdrawal. Although several methods have been proposed to assess postexercise HR recovery, none of those methods selectively assesses the time of transition from the fast to the slow phase of the HR recovery curve (HRRPT), and the magnitude of decay prior to (HRRFP) and after this point (HRRSP). Therefore, the aim of the present study was to propose a method to identify HRRPT, HRRFP, and HRRSP and to verify the effects of exercise intensity and physical fitness on such parameters.
Methods
Ten healthy young participants (24 ± 3 years; 23.6 ± 1.7 kg/m2) randomly underwent two exercise sessions (30 min of cycling), at moderate (MI) and high intensity (HI); followed by 5 min of inactive recovery. HR was continuously recorded during the sessions. The algorithm for HRRPT analysis was written in Python and is freely available online.
Results
HRRPT and HRRSP were increased in HI session compared with MI (81 ± 24 vs. 60 ± 20 s; 8 ± 10 vs. 1 ± 5 bpm; p = .04), and there was no difference in HRRFP between sessions (49 ± 15 vs. 46 ± 10 bpm; p = .17). In addition, HRRPT for MI exercise session was significantly and negatively associated with VO 2max (r = ‐0.85, p < .05).
Conclusion
The method herein presented was sensitive to exercise intensity, and partially responsive to aerobic fitness. Next studies should perform the pharmacological and clinical validations of the method.
Keywords: autonomic nervous system, heart rate variability
1. INTRODUCTION
Postexercise heart rate (HR) recovery is a noninvasive method for the assessment of cardiac autonomic function recovery after a stressful stimulus (Peçanha, Silva‐Junior, & Forjaz, 2014). HR recovery presents an exponential decay (Bartels‐Ferreira, R., de Sousa, E. D., Trevizani, G. A., Silva, L. P., Nakamura, F. Y., & Forjaz, C. L. 2015) with two distinct phases: a fast phase, characterized by parasympathetic‐mediated abrupt decay of HR (Imai, K., Sato, H., Hori, M., Kusuoka, H., Ozaki, H., & Yokoyama, H. 1994), and a slow phase, characterized by more gradual HR reduction, determined by both parasympathetic reactivation and sympathetic withdrawal (Imai et al., 1994; Perini, R., Orizio, C., Comande, A., Castellano, M., Beschi, M., & Veicsteinas, A. 1989).
Reduced HR recovery—caused by slow parasympathetic reactivation and/or sympathetic withdrawal (Peçanha, T., Silva‐Junior, N. D., & Forjaz, C. L. 2014)—is a strong predictor of cardiovascular morbidity and mortality, even in asymptomatic subjects (Cole, Foody, Blackstone, & Lauer, 2000). For this reason, in the last years several methods for HR recovery assessment have been proposed and tested (Bartels‐Ferreira et al., 2015; Goldberger, Johnson, Subacius, Ng, & Greenland, 2014; Imai et al., 1994; Johnson & Goldberger, 2012; Perini et al., 1989; Pierpont, Stolpman, & Gornick, 2000). Most of these methods rely on simple arithmetic differences between peak HR and HR after 60 or 120 s in recovery (Cole, Blackstone, Pashkow, Snader, & Lauer, 1999; Cole et al., 2000; Mora et al., 2003; Vivekananthan, Blackstone, Pothier, & Lauer, 2003); other approaches include mathematical fitting of the initial or entire recovery curve (Bartels‐Ferreira et al., 2015; Imai et al., 1994; Perini & Veicsteinas, 2003; Pierpont et al., 2000).
Despite the variety of methods for HR recovery assessment, as far as we know, none of those methods selectively assesses the time of transition from the fast to the slow phase of the HR recovery curve. This information is useful since this transition point ultimately quantifies the time required for HR to achieve most of its parasympathetic‐mediated decay; and the HR decay prior to and after this point respectively quantify the parasympathetic‐ and sympathetic‐mediated HR recovery (Peçanha et al., 2014). For this reason, the aim of this study was to propose a method for the identification of fast‐to‐slow phase transition time of HR recovery (HRRPT) and to test the feasibility of this method by assessing the effects of exercise intensity and physical fitness on HRRPT. Our hypothesis was that HRRPT would be delayed after a high‐intensity exercise (Pecanha et al., 2014) and would present an inverse relationship with physical fitness (Guerra et al., 2014).
2. METHODS
2.1. Participants
Ten healthy, sedentary nonsmokers and nonmedicated males participated in this study. Subjects were young (24 ± 3 years), eutrophic (body mass index = 23.6 ± 1.7 kg/m2), and moderately fit (VO2peak = 42.6 ± 10.7 ml.kg−1 .min−1). After receiving written and verbal explanation of the protocol, participants signed the consent form. This study was approved by the University Human Ethics Review Board and followed the recommendations from the Declaration of Helsinki.
2.2. Experimental protocol
The experimental protocol was conducted on 3 nonconsecutive days between 2 p.m. and 4 p.m. All subjects were instructed to avoid alcohol or caffeinated beverages, and also not to engage in any physical exercise in the 24 h preceding the tests.
In the first day, subjects answered the Physical Activity Readiness Questionnaire (PAR‐Q) (Shephard, 1988), underwent assessments of body mass and height, and performed an incremental maximal exercise test, on an electromagnetically braked cycle ergometer (Ergo‐Fit, Ergo Cycle 167, Pirmasens, Germany). Initial power was set to 50 W and increments of 25 W were applied every minute until participants reached maximum voluntary exhaustion. Analysis of the expired gases was continuously performed with a metabolic analyzer (VO2000, MedGraphics, St. Paul, Minnesota, USA) properly calibrated before each test. Anaerobic threshold (AT) was identified from the loss of linearity of ventilatory equivalent for oxygen (VE/VO2), and respiratory compensation point (RCP) was identified from loss of linearity of ventilatory equivalent for carbon dioxide (VE/VCO2) (Wasserman, Whipp, Koyl, & Beaver, 1973). The workloads (in watts) of these physiologic transition points were registered for the prescription of subsequent sessions. Maximal workload, HR, and VO2 attained during maximal exercise testing were defined as WLpeak, HRpeak, and VO2peak, respectively.
In the second and third days, subjects randomly performed 30 min of cycle ergometer exercise, followed by 5 min of inactive recovery seated in the ergometer. In one of the sessions, subjects performed moderate‐intensity exercise (MI; i.e., 30 min at the workload of the anaerobic threshold); while in the other session, exercise was performed at high intensity (HI; i.e., 15 min at anaerobic threshold workload, plus 15 min at respiratory compensation point workload). Beat‐by‐beat HR was continuously monitored throughout the session (Polar RS800CX, Kempele, Finland) (Nunan et al., 2009).
2.3. Data processing and identification of heart rate recovery phase transition time
After experimental session, data were transferred to a personal computer and imported into Python for HRRPT analysis (Python Software Foundation, Wilmington, Delaware, USA). The algorithm developed to detect HRRPT was based on a similar approach proposed by Cheng et al. (1992) to determine both ventilatory and lactate thresholds, and by Kara et al. (1996) to identify the deflection point of the HR curve during a maximal effort test. The algorithm was written in Python and is freely available at https://rhenanbartels.github.io/hrrpt/. Firstly, to reduce the influence of HR fluctuations on HRRPT detection, HR recovery series is filtered using the Savitzky‐Golay filter (Savitzky & Golay, 1964). The algorithm then fits a main straight line using the first and last points of the series. After that, the Euclidean distance between each HR point and the main line is calculated. The distance corresponds to the length of a perpendicular segment from a HR point to the main line. This procedure is repeated until HR recovery series is completed. HRRPT is considered the point presenting the largest distance (DMAX) between HR values and the main line. Besides HRRPT, the algorithm also returns the fast phase HR recovery (HRRFP), which is calculated by the difference between the median of the first five HR points at the beginning of recovery (HRi) and the median of five HR points around the HRRPT (HRPT); and the slow phase HR recovery (HRRSP), which is calculated by the difference between HRPT and the median of the last five HR points at the end of recovery (HRo) (Figure 1).
Figure 1.

Identification of heart rate (HR) recovery phase transition time (HRRPT) in one representative participant. (a) Presents the postexercise HR recovery curve. The light gray line represents the actual signal, the black line represents the filtered signal. HRRPT is the point in seconds with the largest perpendicular distance (DMAX) between HR recovery and the main line (i.e., dashed line). HRRFP quantifies the fast phase of HR recovery. HRRSP quantifies the HR decay in the slow phase of recovery. (b) Presents the variations in the perpendicular distance from all HR recovery points to the main line. The first and the last points coincide with the main line and the DMAX determinates the HRRPT
2.4. Statistical analysis
Normality was tested using the Lilliefors test. Descriptive data were compared between sessions using Student t test, and main outcomes were compared using the Wilcoxon signed‐rank test. Correlations between the HRRPT, HRRFP, HRRSP, and VO2peak, in MI and HI sessions, were calculated by the Spearman test. Significance level was set to 0.05. All statistical analysis was conducted using R (A Language and Environment for Statistical Computing, Vienna, Austria). Values are presented in mean ± standard deviation, or median (interquartile range).
3. RESULTS
HR attained during MI and HI sessions were 129 ± 22 and 165 ± 20 bpm (p < .01), corresponding 67 ± 10 and 85 ± 10% of HRpeak (p < .01), respectively. Figure 2 presents the postexercise HR recovery curves of one representative participant. HRRPT was delayed after HI compared with MI session (HRRPT = 46.6 and 38.6 s, respectively).
Figure 2.

Heart rate recovery curve of one representative participant after MI (a) and HI (b) sessions. The vertical arrow indicates the HRRPT in each curve
Figure 3 shows the median values and interquartile range of HRRPT (Figure 3a), HRRFP (Figure 3b) and HRRSP (Figure 3c) in MI and HI exercise sessions. HRRPT and HRRSP were increased in HI compared with MI (p = .04 for both comparisons), and there was no difference in HRRFP between sessions (p = .17). Regarding the secondary parameters returned from the algorithm, HRi (158 ± 19 vs. 128 ± 22 bpm.; p = .02), HRpt (108 ± 18 vs. 81 ± 19 bpm; p < .01), and HRo (100 ± 15 vs. 80 ± 18 bpm; p = .01) were higher in HI when compared with MI.
Figure 3.

Comparisons of HRRPT, HRRFP, and HRRSP between moderate‐intensity (MI) and high‐intensity (HI) exercise sessions. * = p < .01 vs. MI. Data from 1 outlier were excluded of the final analysis
HRRPT in MI exercise session was significantly and negatively correlated with VO2max (r = ‐0.85, p < .05; Figure 4). There were no significant associations between the other parameters and VO2peak (r = ‐0.20–0.40; p > .05).
Figure 4.

Correlation between HRRPT and physical fitness (VO 2 max). Data from 1 outlier were excluded of the final analysis
4. DISCUSSION
The present study was the first to propose a method to identify the transition of the fast‐to‐slow phase of HR recovery (i.e., HRRPT). Furthermore, we tested the feasibility of the method by: (1) assessing HRRPT during recovery after HI and MI cycling exercise, which has been previously shown to produce different cardiac autonomic recovery (Pecanha et al., 2014), and (2) testing the correlations between HRRPT, HRRFP, HRRSP, and physical fitness assessed by VO2peak. HRRPT was sensitive to exercise intensity, since HI produced greater HRRPT than MI, and partially responsive to aerobic fitness, once the expected correlations between HRRPT and fitness occurred only for MI exercise.
Postexercise recovery represents crucial moment for the cardiac autonomic regulation. Immediate postexercise recovery is characterized by fast decrease in HR promoted by a prompt reactivation of parasympathetic activity, followed by slow decrease in HR evoked by gradual sympathetic withdrawal. This byphasic behavior of HR recovery after exercise is caused by complex integrative interaction of the mechanisms controlling the cardiovascular system, and modifications in such profile indicate cardiac autonomic dysfunction and may underline cardiovascular abnormalities (Imai et al., 1994). Accordingly, slow HR recovery after exercise has been observed in several cardiovascular diseases (Peçanha et al., 2014) and is independently associated with increased cardiovascular (Arena et al., 2010) and overall (Cole et al., 1999) mortality risks. For these reasons, the assessment of HR recovery provides pivotal information for detecting cardiac autonomic abnormalities and for predicting mortality risks.
Several methods have been proposed for the assessment of HR recovery (Peçanha et al., 2017). Most of these methods are based on simple subtractions of HR at a designed time in recovery from the peak HR. Despite these methods being predictive of poor cardiovascular outcomes and mortality, their physiological limitations rely on the fact that they generally do not take into account which phase of HR recovery is being covered. In the present study, we proposed a method for identification of fast to slow phase of HR recovery transition, otherwise known as HRRPT; and assessed the magnitude of HR recovery prior to and after this transition (i.e., HRRFP and HRRSP). In a theoretical basis, it is expected that HRRPT and HRRFP measure respectively, the time required for most of parasympathetic‐mediated HR decay, and the magnitude of the parasympathetic reactivation; and HRRSP predominantly measures the magnitude of sympathetic withdrawal (Peçanha et al., 2017).
Although the present study did not perform selective autonomic blockade to verify the specific roles of the parasympathetic and sympathetic nervous systems subdivisions on HRRPT, HRRFP, and HRRSP, comparisons of such parameters between different intensity exercises allow making conjectures. In this sense, it has been demonstrated that high‐intensity exercises delay both parasympathetic reactivation and sympathetic withdrawal (Imai et al., 1994; Perini, Orizio, Baselli, Cerutti, & Veicsteinas, 1990). In this sense, it was expected that HRRPT would be delayed (i.e., increased), and HRRFP and HRRSP would be blunted after HI compared with MI session. This hypothesis was partially confirmed, since HRRPT was higher in HI than MI, confirming a slower cardiac autonomic recovery after a high‐intensity exercise. On the other hand, there was no difference in HRRFP between HI and MI, and HRRSP was increased in HI compared with MI, which diverge from the study's hypothesis.
Comparisons of HR recovery between different exercise intensities are laborious. HR at the start of the recovery is greater at higher intensities (Peçanha et al., 2014), as it can be seen by the greater values of HRi in the HI session. This greater HRi ultimately increases the range of HR decay until the end of recovery in HI session. Supporting this hypothesis, when HRRFP and HRRSP are normalized by the total decay of HR recovery from the start to the end of recovery, the reported difference in HRRSP between MI and HI is no longer evident, and there is even a slight trend (p = .10) for greater HRRFP after MI than HI. The normalized analysis also reveals that HRRFP accounts for almost all of the HR decay seen in MI session (≈ 98%), remaining only a minor portion of the decay for HRRSP (≈ 2%). On the other hand, slightly different contributions are observed in HI session (91% and 9%). For these reasons, percentage values of HRRFP and HRRSP might provide complementary information when comparing different exercise intensities.
The present study proposed a method for identification of the transition phase of HR recovery. The aims of this preliminary study were to verify the performance of the algorithm using real exercise data, and to perform a “physiological validation” of the algorithm by verifying the influences of exercise intensity and aerobic fitness on the primary parameters, namely HRRPT, HRRFP, and HRRSP. In this sense, the results herein presented are consistent with the expected responses to these physiological parameters, which support further investigation of the proposed method. The main limitation of this study was the absence of pharmacological validation of the autonomic mechanisms behind the calculated parameters. Next studies should test the effects of selective autonomic blockade of sympathetic and parasympathetic subdivisions of the autonomic nervous system on HRRPT, HRRFP, and HRRSP. Data on clinical populations would also help to verify the sensitivity and specificity of the method in abnormal conditions.
CONFLICT OF INTEREST
The authors declare that they have no conflicts of interest.
ACKNOWLEDGMENTS
The authors thank the volunteers for their willingness to participate in this study.
Bartels R, Prodel E, Laterza MC, Lima JRP de, Peçanha T. Heart rate recovery fast‐to‐slow phase transition: Influence of physical fitness and exercise intensity. Ann Noninvasive Electrocardiol. 2018;23:e12521 10.1111/anec.12521
Funding information
This study was supported by Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP–2016/23319‐0), and Fundação de Amparo à Pesquisa do Estado de Minas Gerais (FAPEMIG).
REFERENCES
- Arena, R. , Myers, J. , Abella, J. , Peberdy, M. A. , Bensimhon, D. , & Chase, P. (2010). The prognostic value of the heart rate response during exercise and recovery in patients with heart failure: Influence of beta‐blockade. International Journal of Cardiology, 138(2), 166–173. doi: 10.1016/j.ijcard.2008.08.010. [DOI] [PubMed] [Google Scholar]
- Bartels‐Ferreira, R. , de Sousa, E. D. , Trevizani, G. A. , Silva, L. P. , Nakamura, F. Y. , & Forjaz, C. L. (2015). Can a first‐order exponential decay model fit heart rate recovery after resistance exercise? Clinical Physiology and Functional Imaging, 35(2), 98–103. 10.1111/cpf.12132 [DOI] [PubMed] [Google Scholar]
- Cheng, B. , Kuipers, H. , Snyder, A. C. , Keizer, H. A. , Jeukendrup, A. , & Hesselink, M. (1992). A new approach for the determination of ventilatory and lactate thresholds. International Journal of Sports Medicine, 13(7), 518–522. 10.1055/s-2007-1021309 [DOI] [PubMed] [Google Scholar]
- Cole, C. R. , Blackstone, E. H. , Pashkow, F. J. , Snader, C. E. , & Lauer, M. S. (1999). Heart‐rate recovery immediately after exercise as a predictor of mortality. New England Journal of Medicine, 341(18), 1351–1357. 10.1056/NEJM199910283411804 [DOI] [PubMed] [Google Scholar]
- Cole, C. R. , Foody, J. M. , Blackstone, E. H. , & Lauer, M. S. (2000). Heart rate recovery after submaximal exercise testing as a predictor of mortality in a cardiovascularly healthy cohort. Annals of Internal Medicine, 132(7), 552–555. https://doi.org/10.7326%2F0003-4819-132-7-200004040-00041 [DOI] [PubMed] [Google Scholar]
- Goldberger, J. J. , Johnson, N. P. , Subacius, H. , Ng, J. , & Greenland, P. (2014). Comparison of the physiologic and prognostic implications of the heart rate versus the RR interval. Heart Rhythm: the Official Journal of the Heart Rhythm Society, 11(11), 1925–1933. 10.1016/j.hrthm.2014.07.037 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Guerra, Z. F. , Pecanha, T. , Moreira, D. N. , Silva, L. P. , Laterza, M. C. , & Nakamura, F. Y. (2014). Effects of load and type of physical training on resting and postexercise cardiac autonomic control. Clinical Physiology and Functional Imaging, 34(2), 114–120. 10.1111/cpf.12072 [DOI] [PubMed] [Google Scholar]
- Imai, K. , Sato, H. , Hori, M. , Kusuoka, H. , Ozaki, H. , & Yokoyama, H. (1994). Vagally mediated heart rate recovery after exercise is accelerated in athletes but blunted in patients with chronic heart failure. Journal of the American College of Cardiology, 24(6), 1529–1535. https://doi.org/0735-1097(94)90150-3 [DOI] [PubMed] [Google Scholar]
- Johnson, N. P. , & Goldberger, J. J. (2012). Prognostic value of late heart rate recovery after treadmill exercise. The American Journal of Cardiology, 110(1), 45–49. doi: 10.1016/j.amjcard.2012.02.046. [DOI] [PubMed] [Google Scholar]
- Kara, M. , Gokbel, H. , Bediz, C. , Ergene, N. , Ucok, K. , & Uysal, H. (1996). Determination of the heart rate deflection point by the Dmax method. Journal of Sports Medicine & Physical Fitness, 36(1), 31–34. [PubMed] [Google Scholar]
- Mora, S. , Redberg, R. F. , Cui, Y. , Whiteman, M. K. , Flaws, J. A. , & Sharrett, A. R. (2003). Ability of exercise testing to predict cardiovascular and all‐cause death in asymptomatic women: A 20‐year follow‐up of the lipid research clinics prevalence study. JAMA, 290(12), 1600–1607. 10.1001/jama.290.12.1600 [DOI] [PubMed] [Google Scholar]
- Nunan, D. , Donovan, G. , Jakovljevic, D. G. , Hodges, L. D. , Sandercock, G. R. , & Brodie, D. A. (2009). Validity and reliability of short‐term heart‐rate variability from the Polar S810. Medicine & Science in Sports & Exercise, 41(1), 243–250. 10.1249/MSS.0b013e318184a4b1 [DOI] [PubMed] [Google Scholar]
- Peçanha, T. , Bartels, R. , Brito, L. C. , Paula‐Ribeiro, M. , Oliveira, R. S. , & Goldberger, J. J. (2017). Methods of assessment of the post‐exercise cardiac autonomic recovery: A methodological review. International Journal of Cardiology, 227, 795–802. 10.1016/j.ijcard.2016.10.057 [DOI] [PubMed] [Google Scholar]
- Pecanha, T. , Prodel, E. , Bartels, R. , Nasario‐Junior, O. , Paula, R. B. , & Silva, L. P. (2014). 24‐h cardiac autonomic profile after exercise in sedentary subjects. International Journal of Sports Medicine, 35(3), 245–252. 10.1055/s-0033-1349873 [DOI] [PubMed] [Google Scholar]
- Peçanha, T. , Silva‐Junior, N. D. , & Forjaz, C. L. (2014). Heart rate recovery: Autonomic determinants, methods of assessment and association with mortality and cardiovascular diseases. Clinical Physiology and Functional Imaging, 34(5), 327–339. 10.1111/cpf.12102 [DOI] [PubMed] [Google Scholar]
- Perini, R. , Orizio, C. , Baselli, G. , Cerutti, S. , & Veicsteinas, A. (1990). The influence of exercise intensity on the power spectrum of heart rate variability. European Journal of Applied Physiology and Occupational Physiology, 61(1), 143–148. 10.1007/bf00236709 [DOI] [PubMed] [Google Scholar]
- Perini, R. , Orizio, C. , Comande, A. , Castellano, M. , Beschi, M. , & Veicsteinas, A. (1989). Plasma norepinephrine and heart rate dynamics during recovery from submaximal exercise in man. Eur J Appl Physiol Occup Physiol, 58(8), 879–883. 10.1007/BF02332222 [DOI] [PubMed] [Google Scholar]
- Perini, R. , & Veicsteinas, A. (2003). Heart rate variability and autonomic activity at rest and during exercise in various physiological conditions. European Journal of Applied Physiology, 90(3–4), 317–325. 10.1007/s00421-003-0953-9 [DOI] [PubMed] [Google Scholar]
- Pierpont, G. L. , Stolpman, D. R. , & Gornick, C. C. (2000). Heart rate recovery post‐exercise as an index of parasympathetic activity. Journal of the Autonomic Nervous System, 80(3), 169–174. doi: 10.1016/s0165-1838(00)00090-4 [DOI] [PubMed] [Google Scholar]
- Savitzky, A. , & Golay, M. J. E. (1964). Smoothing + Differentiation of data by simplified least squares procedures. Analytical Chemistry, 36(8), 1627–1639. 10.1021/Ac60214a047 [DOI] [Google Scholar]
- Shephard, R. J. (1988). PAR‐Q, Canadian Home Fitness Test and exercise screening alternatives. Sports Medicine, 5(3), 185–195. 10.2165/00007256-198805030-00005 [DOI] [PubMed] [Google Scholar]
- Vivekananthan, D. P. , Blackstone, E. H. , Pothier, C. E. , & Lauer, M. S. (2003). Heart rate recovery after exercise is a predictor of mortality, independent of the angiographic severity of coronary disease. Journal of the American College of Cardiology, 42(5), 831–838. https://doi.org/S0735109703008337 [DOI] [PubMed] [Google Scholar]
- Wasserman, K. , Whipp, B. J. , Koyl, S. N. , & Beaver, W. L. (1973). Anaerobic threshold and respiratory gas exchange during exercise. Journal of Applied Physiology, 35(2), 236–243. [DOI] [PubMed] [Google Scholar]
