Abstract
This study aimed to examine the factors that contribute to improvement of exercise tolerance in patients with heart failure (HF) and atrial fibrillation (AF) following cardiac rehabilitation. Our hypothesis is that parasympathetic values are important for recovering exercise tolerance in those patients. We included 84 consecutive patients with HF and AF (mean age: 69 ± 15 years, 80% men). All of the patients underwent a cardiopulmonary exercise test and had pre and post 5 month cardiac rehabilitation assessed. After 155 ± 11 days and 44 ± 8 sessions, 73 patients (86%) showed an increase in peak oxygen uptake (VO2) and VO2 at the anaerobic threshold. In univariate linear regression analysis, the % change in heart rate recovery, plasma B-type natriuretic peptide levels, resting heart rate, and the minute ventilation /carbon dioxide output slope were significantly related to that of peak VO2 (p < 0.01, p = 0.03, p = 0.02, p < 0.01, respectively). Stepwise multivariate linear regression analysis showed that the % change in heart rate recovery was independently related to that of peak VO2 (p < 0.05). Our results suggest that heart rate recovery is closely associated with recovery of exercise tolerance in patients with HF and AF after CR.
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Introduction
Atrial fibrillation (AF) is a major cardiac rhythm disturbance that is frequently encountered in clinical practice. Even though AF is common in patients with underlying cardiac disease, it also occurs in those without cardiac disease and its incidence is increasing yearly. Risk factors for developing AF include age, sex, obesity, and a low fitness level. Current management of AF mainly focuses on rate and rhythm control and reducing the risk of stroke, and its associated morbidity and mortality [1, 2]. Rate control therapy, including heart rate control and anticoagulant therapy, is unable to improve AF-derived exertional dyspnea. However, development of new therapeutic strategies against AF, including catheter ablation, has improved symptoms of these patients [3].
The benefit of cardiac rehabilitation (CR) programs has been shown in many cardiac diseases, including patients with AF [4,5,6,7]. The mechanisms by which exercise improves health outcomes for patients with AF include atrial remodeling, antiarrhythmic effects via changes in autonomic control, reduced blood pressure, reduced body weight, and reduced lipids [8].
In patients with heart failure (HF), worsening of myocardial function is accompanied by the appearance of neurohormonal derangement, with sympathetic activation. Autonomic responsiveness is important in HF and AF. HF and AF have been mechanistically linked to changes, especially in cardiac vagal control. CR can affect sympathovagal balance and reactivity in patients with HF [9]. We hypothesized that parasympathetic values are essential factors in recovery of exercise tolerance of patients with HF and AF.
Methods
Participants
A retrospective analysis of data collected from 245 in to outpatients with HF was performed. The recruitment continued from October 2014 to 2017. HF was diagnosed by a cardiovascular specialist according to the European Cardiology Society HF guidelines [10]. Patients with AF comprised those with an AF rhythm at the time of a cardiopulmonary exercise test (CPX) during 5 months (n = 84). Persistent AF was defined as continuous AF lasting longer than 7 days. Long-standing persistent AF was defined as continuous AF lasting for longer than 1 year. Informed consent regarding CPX was obtained from all patients. All patients were followed during a 5 month CR program with education on medication and lifestyle. The exclusion criteria were as follows: paroxysmal AF; symptomatic HF; acute coronary syndrome; and an implanted pacemaker, inability to achieve an adequate pedal rotation speed, or a maximal respiratory exchange ratio of < 1.05 during CPX. The institutional ethical review board at Kitakyushu Municipal Yahata Hospital approved the study protocol. All patients provided written informed consent.
CPX
Before training, we determined the exercise capacity of each patient by symptom-limited CPX on a bicycle ergometer. To stabilize respiratory exchange, patients were asked to remain still on the ergometer for at least 4 min before starting exercise. After a 4 min warm-up with a fixed workload, a ramp protocol of 10 W/min was started and continued until exhaustion, which was defined as shortness of breath and leg fatigue, or signs of myocardial ischemia. The protocol included a 1 min cool-down period with no added workload at the end. Then they sat down for 4 min with continued monitoring of blood pressure and heart rate. We used 12-lead continuous electrocardiographic monitoring during the test and cuff blood pressure/ was recorded manually every 2 min. Oxygen uptake (VO2), carbon dioxide output (VCO2), minute ventilation (VE), the fraction of end-tidal O2, and the fraction of end-tidal CO2 were measured on a breath-by-breath basis by computerized metabolic monitoring (Cpex-1; Inter Reha Co., Ltd., Tokyo, Japan). Peak VO2 was recorded as the mean value during the last 20 s of the test and is expressed in ml kg−1 min−1. The peak respiratory exchange ratio (RER: ratio of VCO2/VO2 at peak exercise) was used as a measure of the patient’s effort during testing and a value > 1.05 was considered to be sufficient as an objective index [11]. Borg Scale [6,7,8,9,10,11,12,13,14,15,16,17,18,19,20] > 17 was also considered as a subjective index.
The ventilatory anaerobic threshold point was primarily determined using the V-slope method [12] in addition to the following conventional criteria [13, 14]: VE/VO2 increases after registering as flat or decreasing, whereas VE/VCO2 remains constant or decreases, and RER versus exercise time, which is flat or slowly increasing, and begins to increase more sharply; or the fraction of end-tidal O2 increases after registering as flat or decreasing, whereas the fraction of end-tidal CO2 remains constant or increases. The anaerobic threshold was expressed as VO2. The VE/VCO2 slope was calculated as the slope of the linear relationship between VE and VCO2 from 1 min after the beginning of loaded exercise to the end of the isocapnic buffering period. All patients safely completed CPX at their maximum without angina pain or ischemic electrocardiographic changes.
CR program
Patients in the exercise group attended exercise training as outpatients two or three times per week. Training sessions, which were performed under continuous electrocardiographic monitoring, were supervised by a cardiologist and a nurse. Each session was preceded by a 15 min warm-up followed by a 15 min cool-down. Exercise was performed for 20 min on a bicycle ergometer at the anaerobic threshold level as determined by the initial symptom-limited CPX. The workload was adjusted according to the CPX results every 3 months.
Patients attended education classes that were held in-hospital at the beginning of this program. These classes included lectures on coronary artery disease, secondary prevention, diet, smoking cessation, medication, and physical activities that were provided by physicians, physical therapists, nurses, and pharmacists. All patients also received individual counseling on exercise prescription, secondary prevention, and daily life activities from physicians and physical therapists once a week.
Measurement of heart rate recovery for patients with AF
After achieving peak workload, all patients spent at least 5 min in a cool-down period during CPX. The value for heart rate recovery (HRR) was defined as a reduction in heart rate from the rate at peak exercise to the rate at 1 min after cessation of exercise. Heart rate was calculated as a mean of the last ten beats at each point.
Statistical analysis
All statistical analyses were performed with EZR, which is a graphical user interface for R. More precisely, EZR is a modified version of R commander designed to add statistical functions that are frequently used in biostatistics. Continuous variables that followed a normal distribution are shown as mean ± standard deviation and the paired t test was used for comparison. Variables that did not follow a normal distribution are shown as the median and were compared using the Wilcoxon rank-sum test. We estimated unadjusted univariate linear regression coefficients between various variables with the % change in peak VO2 as the dependent variable. Laboratory variables, echocardiographic variables, and CPX parameters were the independent variables. Multiple linear regression analysis was carried out to assess the independent factors affecting the % change in peak VO2. A two-sided p value < 0.05 was considered significant.
Results
Clinical characteristics
Table 1 shows the clinical characteristics of the patients. A total of 84 patients (51 men, mean age: 68.5 ± 10.2 years) were examined. All patients suffered from persistent AF of New York Heart Association functional classes I (57%) and II (43%). Most (90%) patients had long-standing persistent AF. With regard to the cardiovascular background, the percentage of patients with ischemic heart disease was 36%. Beta blockers, renin–angiotensin system blockers, and diuretics were prescribed to most of the patients. There were no patients who prescribed sodium-glucose cotransporter two inhibitors which might reduce sympathetic nerve activity. All patients were medicated with direct oral anticoagulants. Initial medication for all patients did not change during 5 months. The mean attendance time for CR during 5 months was 44 ± 10 sessions (2.2 ± 0.8 sessions per week).
Effects of CR on laboratory and echocardiographic values
Table 2 shows laboratory and echocardiographic values at baseline and 5 months after CR. Plasma low-density lipoprotein cholesterol and B-type natriuretic peptide (BNP) levels were significantly improved after CR compared with baseline (p = 0.03, p < 0.01, respectively). With regard to echocardiographic values, only left atrial dimension was significantly improved after CR compared with baseline (p < 0.01), but the left ventricular ejection fraction did not improve.
Effects of CR on CPX parameters
Table 3 shows CPX parameters at baseline and 5 months after CR. The peak RER, peak heart rate, peak workload, peak VO2, and HRR, and were significantly elevated after CR compared with baseline (p = 0.03, p < 0.01, p = 0.03, p < 0.01, and p < 0.01, respectively). Resting heart rate and the VE/VCO2 slope were significantly reduced after CR compared with baseline (p < 0.01, p < 0.01, respectively). Parameters of blood pressure were not significantly changed 5 months after CR.
Comparison of the % change in all values with that of peak V O2
We investigated the contributions to peak VO2 between baseline and 5 months after CR. The % change is where designated values were compared between baseline and after CR. The % change in peak VO2 was significantly correlated with that of plasma BNP levels, resting heart rate, the VE/VCO2 slope, and HRR in univariate linear regression analysis (Fig. 1). We applied multivariate linear regression analysis to determine which values were independently correlated. Table 4 shows that the % change in HRR was independently correlated with that of peak VO2 (p = 0.02).
Discussion
In this retrospective study, we found that HRR is significantly associated with recovery of exercise tolerance in patients with HF and AF. To the best of our knowledge, it has not previously been shown to be associated with AF.
In patients with HF and AF, abnormal neurohormonal control may explain the mechanism of advancement of disease. The amount of circulating catecholamines in patients is related to the prognosis [15]. Studies of the pathophysiology of autonomic control in the failing heart that analyzed heart rate variability (HRV) showed progressive abnormalities in the power spectral profile of patients [16, 17]. Buchheit et al. reported that the relations between HRV, HRR, and parasympathetic reactivation were low [18]. A lack of these relationships is due to many factors, such as sympathetic activity, ventilation, and environmental effects, which might interfere with parasympathetic outflow during the post-exercise period, and probably to a large extent, during resting conditions. For these reasons, resting HRV is reliable, whereas the reliability of HRR is considered satisfactory [19]. Recently, Astolfi et al. reported that increased HRR after the 6 min walk test was positively correlated with the 6 min walk test distance in patients after acute coronary syndrome [20]. These authors also found that HRR appeared to be more sensitive than post-exercise HRV analysis for monitoring functional and autonomic improvement after acute coronary syndrome. Therefore, HRR after symptom-limited CPX in our study was a good candidate for evaluating parasympathetic reactivation. To date, a lot of evidence has shown that autonomic dysfunction and decreased parasympathetic function play a significant role in development of AF [21,22,23,24]. Maddox et al. reported that impaired HRR was significantly associated with a higher likelihood of new-onset AF, independent of patients and clinical factors [25]. These findings support the concept of the autonomic nervous system as a potential mediator of AF.
Recently, Sydo et al. showed that impaired HRR was associated with a number of well-established cardiovascular risk factors, including diabetes mellitus, hypertension, current smoking, and chronic kidney disease [26]. Increased parasympathetic activity is a protective mechanism of exercise training implemented during CR, in addition to pharmacological treatment and invasive non-pharmacological interventions [27]. In a pioneering study, Coats et al. showed a significant shift towards parasympathetic modulation of autonomic control after a 6 month period of training [28]. Myers et al. also investigated the association between exercise tolerance and improvement in HRR in post-ACS patients after 8 weeks of a rehabilitation program [29]. These authors evaluated exercise tolerance of patients by peak VO2 under CPX, as performed in our study.
The report from Myers et al. [29] showed better HRR improvement in HF patients with sinus rhythm than our patients with AF although training period was different. The parasympathetic portion decrease sinus node automaticity and slows atrioventricular node conduction in patients with sinus rhythm. In patients with AF, however, parasympathetic effect is limited to atrioventricular node. This might be the reason why there is difference between two studies.
In the end of the discussion, we have to mention the sympathetic modulation to HRR. Previous studies have shown that early HRR after exercise is mainly a function of parasympathetic reactivation, with the sympathetic withdrawal becoming important later in recovery. A delayed HRR is, therefore, considered a measure of autonomic imbalance and may be an indicator of a reduction in parasympathetic tone or an exaggerated sympathetic activation [30,31,32]. According to those findings our data of HRR, which indicate very early parameter after exercise, was modulated mainly by parasympathetic tone. However, we did not check the change in adrenaline that would show evidence of enhanced parasympathetic nerve system and reduced sympathetic nerve system activity. Further examination will be needed to clarify what extent the sympathetic improvement contribute to the recovery of exercise tolerance of patients with HF and AF after CR.
Study limitations
This study has several important limitations. First, this was a retrospective observational study although we enrolled consecutive patients meeting the inclusion and exclusion criteria. Second, we did not have enough peripheral parameters other than those of autonomic nerve system, such as skeletal muscle function, vascular endothelial function. We cannot exclude that those factors might influence the changes of peak VO2. Third, we cannot comment on the value of HRR as measured over different time points, such as 2, 3 or 5 min after cessation of exercise, although we identified HRR as the change during the first minute of the active recovery period. Forth, we did not have data of HRV which is one of parameters of autonomic function, although we discussed the relations between HRR and HRV in the discussion section. Fifth, we did not design our study to compare patients between heart failure with reduced ejection fraction and with preserved ejection fraction. We did not have any results of differences between two groups.
Conclusions
This study provides new evidence of the association between improved HRR and improved exercise tolerance in patients with HF and AF. Our findings have interest from a clinical point of view because HRR is easily measurable and was found useful. Future research to validate these findings in other populations will reveal the mechanistic links between HRR and exercise tolerance.
References
Kirchhof P, Benussi S, Kotecha D, Ahlsson A, Atar D, Casadei B, Castella M, Diener HC, Heidbuchel H, Hendriks J, Hindricks G, Manolis AS, Oldgren J, Popescu BA, Schotten U, Van Putte B, Vardas P (2016) 2016 ESC Guidelines for the management of atrial fibrillation developed in collaboration with EACTS. Kardiol Pol 74:1359–1469
An Y, Esato M, Ishii M, Masunaga N, Tsuji H, Wada H, Hasegawa K, Ogawa H, Abe M, Lip GYH, Akao M (2018) Clinical characteristics and cardiovascular outcomes in patients with atrial fibrillation receiving rhythm-control therapy : the Fushimi AF Registry. Heart Vessels 33(12):1534–1546
Jones DG, Haldar SK, Hussain W, Sharma R, Francis DP, Rahman-Haley SL, McDonagh TA, Underwood SR, Markides V, Wong T (2013) A randomized trial to assess catheter ablation versus rate control in the management of persistent atrial fibrillation in heart failure. J Am Coll Cardiol 61:1894–1903
Piepoli MF, Conraads V, Corra U, Dickstein K, Francis DP, Jaarsma T, McMurray J, Pieske B, Piotrowicz E, Schmid JP, Anker SD, Solal AC, Filippatos GS, Hoes AW, Gielen S, Giannuzzi P, Ponikowski PP (2011) Exercise training in heart failure: from theory to practice a consensus document of the heart failure association and the European association for cardiovascular prevention and rehabilitation. Eur J Heart Fail 13(4):347–357
Reibis R, Voller H, Gitt A, Jannowitz C, Halle M, Pittrow D, Hildemann S (2014) Management of patients with ST-segment elevation or non-ST-segment elevation acute coronary syndromes in cardiac rehabilitation centers. Clin Cardiol 37(4):213–221
Taylor RS, Sagar VA, Davies EJ, Briscoe S, Coats AJ, Dalal H, Lough F, Rees K, Singh S (2014) Exercise-based rehabilitation for heart failure. Cochrane Database Syst Rev. https://doi.org/10.1002/14651858
Tanaka S, Sanuki Y, Ozumi K, Harada T, Tasaki H (2018) Heart failure with preserved vs reduced ejection fraction following cardiac rehabilitation: impact of endothelial function. Heart Vessels 33(8):886–892
Gallagher C, Hendriks JM, Mahajan R, Middeldorp ME, Elliott AD, Pathak RK, Sanders P, Lau DH (2016) Lifestyle management to prevent and treat atrial fibrillation. Expert Rev Cardiovasc Ther 14(7):799–809
Malfatto G, Branzi G, Gritti S, Sala L, Bragato R, Perego GB, Leonetti G, Facchini M (2001) Different baseline sympathovagal balance and cardiac autonomic responsiveness in ischemic and non-ischemic congestive heart failure. Eur J Heart Fail 3(2):197–202
Ponikowski P, Voors AA, Anker SD, Bueno H, Cleland JG, Coats AJ, Falk V, González-Juanatey JR, Harjola VP, Jankowska EA, Jessup M, Linde C, Nihoyannopoulos P, Parissis JT, Pieske B, Riley JP, Rosano GM, Ruilope LM, Ruschitzka F, Rutten FH, van der Meer P, ESC Scientific Document Group (2016) ESC Guidelines for the diagnosis and treatment of acute and chronic heart failure. Eur Heart J 37:2129–2200
Mehra MR, Canter CE, Hannan MM, Semigran MJ, Uber PA, Baran DA, Danziger-Isakov L, Kirklin JK, Kirk R, Kushwaha SS, Lund LH, Potena L, Ross HJ, Taylor DO, Verschuuren EAM, Zuckermann A (2016) The 2016 International Society for Heart Lung Transplantation listing criteria for heart transplantation: a 10 year update. J Heart Lung Transplant 35(1):1–23
Beaver WL, Wasserman K, Whipp BJ (1986) A new method for detecting anaerobic threshold by gas exchange. J Appl Physiol 60(6):2020–2027
Wasserman K (1984) The anaerobic threshold measurement to evaluate exercise performance. Am Rev Respir Dis 129:S35-40
Wasserman K, Whipp BJ, Davis JA (1981) Respiratory physiology of exercise: metabolism, gas exchange, and ventilatory control. Int Rev Physiol 23:149–211
Grassi G, Seravalle G, Cattaneo BM, Lanfranchi A, Vailati S, Giannattasio C, Del Bo A, Sala C, Bolla GB, Pozzi M (1995) Sympathetic activation and loss of reflex sympathetic control in mild congestive heart failure. Circulation 92(11):3206–3211
Guzzetti S, Cogliati C, Turiel M, Crema C, Lombardi F, Malliani A (1995) Sympathetic predominance followed by functional denervation in the progression of chronic heart failure. Eur Heart J 16(8):1100–1107
Song T, Qu XF, Zhang YT, Cao W, Han BH, Li Y, Piao JY, Yin LL, Da Cheng H (2014) Usefulness of the heart-rate variability complex for predicting cardiac mortality after acute myocardial infarction. BMC Cardiovasc Disord 14:59
Buchheit M, Papelier Y, Laursen PB, Ahmaidi S (2007) Noninvasive assessment of cardiac parasympathetic function: postexercise heart rate recovery or heart rate variability? Am J Physiol Heart Circ Physiol 293(1):H8-10
Buchheit M, Laursen PB, Ahmaidi S (2007) Parasympathetic reactivation after repeated sprint exercise. Am J Physiol Heart Circ Physiol 293(1):H133-141
Astolfi T, Borrani F, Savcic M, Gremeaux V, Millet GP (2018) Heart rate recovery of individuals undergoing cardiac rehabilitation after acute coronary syndrome. Ann Phys Rehabil Med 61(2):65–71
Olshansky B (2005) Interrelationships between the autonomic nervous system and atrial fibrillation. Prog Cardiovasc Dis 48(1):57–78
Wyse DG, Gersh BJ (2004) Atrial fibrillation: a perspective—thinking inside and outside the box. Circulation 109(25):3089–3095
Folkeringa RJ, Hartgers J, Tieleman RG, Gorgels AP, Dassen WR, Crijns HJ (2006) Atrial extrasystoles after exercise predict atrial fibrillation in patients with left ventricular hypertrophy. Heart 92(2):545–546
Verrier RL, Antzelevitch C (2004) Autonomic aspects of arrhythmogenesis: the enduring and the new. Curr Opin Cardiol 19(1):2–11
Maddox TM, Ross C, Ho PM, Magid D, Rumsfeld JS (2009) Impaired heart rate recovery is associated with new-onset atrial fibrillation: a prospective cohort study. BMC Cardiovasc Disord 9:11
Sydo N, Sydo T, Gonzalez Carta KA, Hussain N, Farooq S, Murphy JG, Merkel B, Lopez-Jimenez F, Allison TG (2018) Prognostic performance of heart rate recovery on an exercise test in a primary prevention population. J Am Heart Assoc 7(7):e008143
Authors/Task Force M, Piepoli MF, Hoes AW, Agewall S, Albus C, Brotons C, Catapano AL, Cooney MT, Corra U, Cosyns B, Deaton C, Graham I, Hall MS, Hobbs FD, Lochen ML, Lollgen H, Marques Vidal P, Perk J, Prescott E, Redon J, Richter DJ, Sattar N, Smulders Y, Tiber M, vanderWorp HB, vanDis I, Verschuren WM, Additional contributor, Simone Binno, Document Reviewers, DeBacker G, Roffi M, Aboyans V, Bachl N, Bueno H, Carerj S, Cho L, Cox J, Sutter J, Egidi G, Fisher M, Fitzsimons D, Franco OH, Guenoun M, Jennings C, Jug B, Kirchhof P, Kotseva K, Lip GY, Mach F, Mancia G, Bermudo FM, Mezzani A, Niessner A, Ponikowski P, Rauch B, Ryden L, Stauder A, Turc G, Wiklund O, Windecker S, Zamorano JL (2016) 2016 European Guidelines on cardiovascular disease prevention in clinical practice: The Sixth Joint Task Force of the European Society of Cardiology and Other Societies on Cardiovascular Disease Prevention in Clinical Practice (constituted by representatives of 10 societies and by invited experts): Developed with the special contribution of the European Association for Cardiovascular Prevention & Rehabilitation (EACPR). Eur J Prev Cardiol 23(11):1–96. https://doi.org/10.1093/eurheartj/ehw106
Coats AJ, Adamopoulos S, Radaelli A, McCance A, Meyer TE, Bernardi L, Solda PL, Davey P, Ormerod O, Forfar C (1992) Controlled trial of physical training in chronic heart failure. Exercise performance, hemodynamics, ventilation, and autonomic function. Circulation 85(6):2119–2131
Myers J, Hadley D, Oswald U, Bruner K, Kottman W, Dubach HL, P, (2007) Effects of exercise training on heart rate recovery in patients with chronic heart failure. Am Heart J 153(6):1056–1063
Imai K, Sato N, Hori M, Kusuoka H, Ozaki H, Yokoyama H (1994) Vagally mediated heart rate recovery after exercise is accelerated in athletes but in patients with chronic heart failure. J Am Coll Cardiol 24:1529–1535
Sears CE, Choate JK, Paterson DJ (1998) Inhibition of nitric oxide synthase slows heart rate recovery from cholinergic activation. J Appl Physiol 84:1596–1603
Schwartz PJ, La Rovere MT, Vanoli E (1992) Autonomic nervous system and sudden cardiac death. Experimental basis and clinical observations for post-myocardial infarction risk stratification. Circulation 85:177–191
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We thank Ellen Knapp, PhD, from Edanz Group for editing a draft of this manuscript.
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Tanaka, S., Miyamoto, T., Mori, Y. et al. Heart rate recovery is useful for evaluating the recovery of exercise tolerance in patients with heart failure and atrial fibrillation. Heart Vessels 36, 1551–1557 (2021). https://doi.org/10.1007/s00380-021-01839-6
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DOI: https://doi.org/10.1007/s00380-021-01839-6