European Heart Journal (2002) 23, 1301–1308 doi:10.1053/euhj.2001.3078, available online at http://www.idealibrary.com on Defining the optimum upper heart rate limit during exercise A study in pacemaker patients with heart failure M. Kindermann1, B. Schwaab2, N. Finkler1, S. Schaller1, M. Böhm1 and G. Fröhlig1 1 Department of Internal Medicine, Division of Cardiology and Angiology, Universitätskliniken des Saarlandes, Homburg/Saar, Germany; 2Curschmann-Clinic for Cardiovascular Diseases, Timmendorfer Strand, Germany Aims There is no non-invasive method to determine the individual optimum of maximum exercise heart rate. Knowledge of this value is of particular interest in patients with structural heart disease who are prone to tachycardia intolerance. The purpose of this study was to define the optimal maximum heart rate using cardiopulmonary exercise testing and exercise Doppler echocardiography and to compare the results of both approaches. Methods and Results In 49 pacemaker patients with chronotropic incompetence, the optimum upper heart rate limit was determined using cardiopulmonary exercise testing and exercise Doppler echocardiography. The optimum upper rate limit was given by the highest pacing rate which still produced an increase in oxygen consumption, or by that pacing rate which was linked to the lowest value for the Doppler-derived myocardial performance index. In patients with normal left ventricular ejection fraction (d55%) the optimum upper rate limit was 86% of age-predicted maximum heart rate, in patients with left ventriuclar dysfunction (ejection fraction c45%) it was 75% of the age-predicted maximum rate (P=0·004). The optimum upper rate limit, as Introduction Dynamic exercise capacity is a function of stroke volume, heart rate and arteriovenous oxygen difference, with the latter two factors accounting for about 70% of the increase in oxygen consumption[1]. In patients with severe chronotropic incompetence, as defined by a maximum exercise heart rate of c90 beats . min 1, pacemaker therapy with rate-adaptive devices leads to a Revision submitted 30 October 2001, accepted 7 November 2001, and published online 31 January 2002. Correspondence: Michael Kindermann, MD, Innere Medizin III (Kardiologie/Angiologie), Universitätskliniken des Saarlandes, Kirrberger Straße, D 66421 Homburg/Saar, Germany. 0195-668X/02/$35.00 defined by cardiopulmonary exercise testing and exercise Doppler echocardiography, were closely correlated (P<0·0001) with a mean deviation of 66 beats . min 1. Conclusion Cardiopulmonary exercise testing and exercise Doppler echocardiography are valuable tools which help to determine the optimum upper rate limit in order to avoid excess heart rates in heart failure patients. The application of these methods is not limited to pacemaker patients but may be helpful in therapeutic interventions with chronotropic drugs. (Eur Heart J, 2002; 23: 1301–1308, doi:10.1053/euhj.2001. 3078) 2002 The European Society of Cardiology. Published by Elsevier Science Ltd. All rights reserved. Key Words: Heart rate, exercise, heart failure, cardiac pacing. See page 1239, doi:10.1053/euhj.2002.3180 for the Editorial comment on this article highly significant increase in aerobic capacity and maximum workload performed[2]. However, there is no agreement upon the haemodynamically optimal upper heart rate limit and methodological approaches to define it in the individual patient. The maximum age-predicted heart rate, as calculated by the well-known formula (220-age)[3], is no more than a calibration standard to estimate the level of physical stress during exercise testing. It is not necessarily identical with the heart rate that produces maximum cardiac output during peak exercise. This holds true particularly in patients with structural heart disease, who are prone to variable degrees of tachycardia intolerance. Induction of ischaemia, impairment of diastolic filling[4] and a blunted or inversed force-frequency relationship[5–7] are the main factors that limit cardiac output augmentation 2002 The European Society of Cardiology. Published by Elsevier Science Ltd. All rights reserved. 1302 M. Kindermann et al. during exercise-induced tachycardia in patients with heart disease. Knowledge of the haemodynamically optimal limit of exercise heart rate is not only useful for patients with bradycardia who are treated with rate adaptive pacemakers, it may also serve to titrate the dosage of negative chronotropic agents in patients with inadequate tachycardia. As tachycardia is considered to be related to an adverse outcome[8], excess heart rates in heart failure patients could be avoided by an optimal setting of the target heart rate during exercise. Since a practical approach for determination of the individual optimum for maximum exercise heart rate is missing, it was the object of this study to propose practical and non-invasive methods to define it. Methods Patients Forty-nine patients with permanent cardiac pacemakers were investigated. All patients gave informed consent for participation in the study, which followed institutional guidelines. All patients revealed an inappropiate heart rate increase during exercise, when the rate response function of their pacing system was turned off. Chronotropic incompetence was defined by a heart rate increase of less than 2 beats . min 1 per oxygen consumption ml . kg 1 min 1[9,10]. During the study, five patients with atrial fibrillation were paced in VVI mode, two patients ran in AAI mode and the majority of 42 patients had their pacemakers programmed to DDD mode. In these patients the programmable atrioventricular delay of the pulse generator was individually optimized prior to the study. Methods used for atrioventricular delay optimization were Doppler echocardiography of transmitral[11] or transaortic[12] blood flow or impedance cardiography[11]. To analyse the impact of left ventricular function on the optimum upper heart rate limit, the patient population was dichotomized into two groups, one with left ventricular dysfunction defined by an ejection fraction c45% (group I) and the other with normal left ventricular function (ejection fraction d55%, group II). Patients with only minor degrees of left ventricular dysfunction (ejection fraction 46–54%) were not included in the study. Ejection fraction was estimated by echocardiography using the Teichholz method or — if left heart catheterization was performed for another clinical indication — by angiography. As the majority of patients from group I had a clinical indication for angiography, ejection fraction was measured by levocardiography in 15 out of 18 patients (83%) from group I, whereas levocardiography was performed in only eight patients (35%) from group II. Cardiopulmonary exercise testing All patients underwent symptom-limited cardiopulmonary exercise testing with breath-by-breath gas Eur Heart J, Vol. 23, issue 16, August 2002 Table 1 Time (min) 0 1 2 3 4 5 6 7 8 9 10 Heart rate increments during exercise Workload (Watt) Pacing rate (beats . min 1) 0 15 30 45 60 75 90 105 120 135 150 70 85 90 100 105 110 120 130 140 150 160 exchange analysis using a MedGraphics CPX/D spiroergometry system (Medical Graphics Corporation, St. Paul, MN, U.S.A.). Patients performed bicycle exercise in a 45 semisupine position lying on an ergometrics 900EL reclining ergometer (Ergoline cardio-systems, Bitz, Germany). After adaptation to the mouthpiece and resting conditions, exercise workload was increased continuously by 15 Watt . min 1 (ramp protocol). During exercise, the rate response function of the pulse generators was turned off and the paced heart rate was increased by manual programming according to a fixed protocol (Table 1). The protocol was based on the finding[9,10] that an increase in oxygen uptake of 1 ml . kg 1 min 1 is related to a heart rate increase between 2 and 4 beats . min 1 in patients without chronotropic incompetence. Thus, the exercise workloads (Watt) were converted into increments of oxygen uptake (ml . kg 1 min 1) which were multiplied by pre-defined heart rate slopes to obtain the heart rate increment for each stage. At the beginning of exercise a low heart rate slope of 2·4 beats . min 1 per ml . kg 1 min 1 was chosen which increased to a maximum slope of 4·8 beats . min 1 per ml . kg 1 min 1 with increasing workload. Due to the limited programming options of the pacemaker models, not all heart rates could be programmed and the target pacing rates in Table 1 represent a compromise between the heart rates required by the pre-defined heart rate slope and the spectrum of programmable pacing rates. In each patient, maximum workload achieved, peak oxygen consumption and oxygen uptake at the ventilatory anaerobic threshold were measured. The anaerobic threshold was determined according to the V-slope method[13]. The optimum upper heart rate limit during exercise was defined as the highest pacing rate which was still producing an increase in oxygen consumption (V ~ O2). The time course of V ~ O2 at the end of exercise was assumed to reflect the time course of cardiac output[14]. This assumption is supported by Fick’s principle where oxygen consumption is the product of cardiac output and arteriovenous oxygen difference. As the increase in arteriovenous oxygen difference during exercise in relation to exercise workload indicates curvilinear behaviour[15], arteriovenous oxygen difference near peak Optimum heart rate limit during exercise a LV outflow FT IRT ET ICT exercise is virtually constant so that oxygen consumption is directly correlated to cardiac output. A significant increase in V ~ O2 was defined by a cutoff value of d10 ml . min 1 Watt 1[16]. It was hypothesized that patients who are overpaced beyond their optimum upper heart rate limit would show a plateau or even a decrease in oxygen consumption. 1303 Doppler echo examination All studies were performed with an Ultramark 9 HDI (Advanced Technology Laboratory, Inc., Bothell, WA, U.S.A.) ultrasound system and a 3·5 MHz phased array transducer used for pulsed wave Doppler recordings. Mitral and aortic flow velocities were obtained with the sample volume placed between the valve leaflets to record valve opening and closure. Recordings were performed at rest and during exercise after each increase in pacing rate and stored on videotape. The following parameters were measured using the flow velocity recordings (Fig. 1): left ventricular filling time, isovolumic contraction time, left ventricular ejection time and isovolumic relaxation time. All measurements were done in triplicate with the mean value used for further analysis. Two Doppler echo indices were calculated: the Tei index[17] and the Z ratio[18]. The Tei index is the sum of isovolumic contraction and relaxation time divided by left ventricular ejection time. It has been shown to be inversely correlated to both left ventricular systolic as well as diastolic function and is supposed to be an overall myocardial performance index[17,19]. The Z ratio is the sum of left ventricular filling and ejection time given as a percentage of cardiac cycle length. Its relationship to systolic and diastolic parameters of left ventricular function is less well established but it has been shown that the Z ratio is highest in patients with normal left ventricular function and a normal QRS duration, while it is minimal in patients with dilated cardiomyopathy and left bundle branch block[18]. The optimum upper heart rate limit, as measured by Doppler echocardiography, was defined by the exercise heart rate where the Tei index reached its minimum and the Z ratio was at its maximum. Mitral inflow CL AOC MVO CL Atrial pacing spike Ventricular pacing spike Figure 1 Doppler echo time intervals given in the study. FT=left ventricular filling time; ICT=isovolumic contraction time; ET=left ventricular ejection time; IRT= isovolumic relaxation time; CL=cycle length. a=interval between mitral valve closure and opening; AOC, MVO=intervals between ventricular pacemaker spike (or beginning of QRS) and aortic valve closure and mitral valve opening, respectively. ET, a, AOC and MVO were directly measured. CL was given by the pacing rate (CL=6000/pacing rate [ms]). The other parameters were calculated using the following formulae: IRT=MVO AOC; ICT=aIRTET; FT=CLa; TEI index= (aET)/ET; Z ratio=(FT+ET)/CL. Results Statistics Values are expressed as meanSD. Differences between both groups of patients were compared using the U-test of Mann and Whitney. Differences between different stages of exercise were evaluated with Friedman’s test. Frequency distributions were compared with Fisher’s exact test. Spearmans rank order correlation and Wilcoxon’s signed rank test were used to analyse the relationship between the different approaches to determine optimum upper heart rate limit. A probability value of P<0·05 was considered significant. Cardiopulmonary exercise testing During spiroergometry, 41 patients (83·7%) reached the anaerobic threshold. Data of the remaining eight patients, who did not exercise until anaerobic threshold, were not considered for further data analysis. Hence, 18 patients were left in group I and 23 in group II. Both groups were comparable with respect to age (Table 2). Gender was not equally distributed as four out of the five female patients of this study were included in group II. Maximum workload achieved, maximum oxygen consumption and oxygen consumption at the anaerobic threshold, the optimum upper heart rate limit in Eur Heart J, Vol. 23, issue 16, August 2002 1304 M. Kindermann et al. Table 2 Results of cardiopulmonary exercise testing Group I Group II P Number, n 18 23 — Age, years 70·09·3 68·512·0 ns Max. workload, Watt 88·218·7 112·722·4 0·002 9·42·4 13·02·8 0·001 V ~ O2AT, ml . min 1 kg 1 14·23·7 19·65·4 0·001 V ~ O2max, ml . min 1 kg 1 1 122·811·3 135·414·2 0·004 HRmax, beats . min 111·910·0 129·615·4 0·001 OURL, beats . min 1 OURL/MHR, % 75·09·0 85·911·2 0·004 1 OURL d130 beats . min , n 2 17 0·001 ~ O2max = V ~ O2AT =oxygen consumption at anaerobic threshold; V maximum oxygen consumption; HRmax =maximum pacing rate achieved; OURL=optimum upper rate limit; MHR=age-predicted maximum heart rate (220-age); OURL/MHR=OURL expressed as a percentage of MHR. ns=not significant. Results are given as mean valuestandard deviation. Table 3 Results of cardiopulmonary exercise testing. Patients with V~O2-plateau Group I Group II P Number, n 15 14 — Age, years 70·98·7 69·75·3 ns Max. workload, Watt 90·315·4 111·921·9 0·015 1 1 kg 9·52·6 12·62·0 0·006 V ~ O2AT, ml . min 14·43·9 18·53·3 0·003 V ~ O2max, ml . min 1 kg 1 HRmax, beats . min 1 124·010·6 133·214·1 0·049 1 110·99·1 123·613·2 0·021 OURL, beats . min OURL/MHR, % 74·78·0 82·28·7 0·034 1 9 0·002 OURL d130 beats . min 1, n For abbreviations see Table 2. absolute terms and as a percentage of maximum agepredicted heart rate were all significantly lower in group I than in group II. The majority (70%) of patients in group II had an optimum upper rate limit of d130 beats . min 1, while this was exceptional (11%) in group I patients (P<0·001). The formation of a V ~ O2-plateau was observed in 29 out of 41 patients (71%); it was more common in group I (83%) than in group II (61%), but this difference did not reach significance. Due to their limited exercise capacity, patients in group I achieved significantly (P<0·004) lower maximum pacing rates as compared to group II patients (12311 beats . min 1 vs 13514 beats . min 1). To rule out that this was the main reason for a lower optimum upper rate limit, this parameter was also compared for patients with a V ~ O2plateau (Table 3). Again, absolute and relative values for the optimum upper rate limit were significantly lower in patients with left ventricular dysfunction. Table 4 gives an overview of the individual relations between the maximum age-predicted heart rate and the optimum upper heart rate limit in both groups. A typical example of normal oxygen kinetics in a patient without left ventricular dysfunction and the early formation of a Eur Heart J, Vol. 23, issue 16, August 2002 Table 4 Individual maximum age predicted and optimal maximum heart rates as assessed by cardiopulmonary exercise testing Group I MHR 146 155 146 143 144 149 162 141 140 169 169 148 147 151 144 156 153 138 Group II OURL 120 90* 120* 105* 110* 130 110* 105* 130* 110* 100 110* 120* 110* 110* 110* 120* 104* 26 65 26 38 34 19 52 36 10 59 69 38 27 41 34 46 33 34 1509 11210† MHR 147 158 147 148 149 136 137 150 148 157 152 143 200 157 151 150 152 158 148 146 152 147 151 OURL 160 130* 130* 140* 130* 140 120* 130* 140 140* 130* 130 150 110 105* 150 130* 110* 105* 100* 130* 140 130 +13 28 17 8 19 +4 17 20 8 17 22 13 50 47 46 0 22 48 43 46 22 7 21 3815‡ 15112 13015 2218 MHR=age-predicted maximum heart-rate (220-age); OURL= optimum upper heart rate limit; =difference (OURLMHR). ~ O2All values are expressed in beats . min 1. Patients with a V plateau are marked by an asterisk. Mean valuesSD are given in the last line. †P<0·001 vs group II. ‡P<0·006 vs group II. V ~ O2-plateau in a patient with impaired left ventricular function is depicted in Fig. 2. Doppler examination Doppler echo examinations were performed in 33 out of the 41 patients whose data could be analysed by cardiopulmonary exercise testing. In general, all Doppler time intervals decreased significantly with exercise (Fig. 3), but differences between both groups were limited to diastolic filling time and isovolumic contraction time during maximum workload or optimum upper pacing rate and thus mainly due to the higher exercise capacity and higher pacing rate achieved in group II. Both Doppler echo indices changed significantly (P<0·001) with exercise: the Tei index decreased from 0·720·21 (group I) and 0·670·12 (group II) to an average minimum of 0·380·16 (group I) and 0·340·13 (group II), respectively. The Z-ratio increased from 77·65·2% (group I) and 78·23·2% (group II) to an average maximum of 83·94·5% (group I) and 84·14·9% (group II), respectively. In 21 out of 33 cases (64%) the Tei index approached to a Optimum heart rate limit during exercise 4 200 Exercise-end #1 MHR (#1) Exercise-end #2 160 OURL (#2) 150 3 ∆ = +13 bpm 140 ∆ = –52 bpm 150 MHR (#2) –1 130 · –1 VO2 (l.min ) 120 100 2 85 105 110 OURL (#1) 100 90 HR 70 Heart rate (beats.min ) Start of exercise Patient #2 1 50 · VO2 0 1305 1 2 Patient #1 3 4 5 6 7 8 Time (min) 9 10 11 12 13 14 15 0 Figure 2 Different oxygen kinetics in relation to the increase in pacing rate in a patient from group I (no. 1, solid line) and group II (no. 2, dotted line). Patient no. 1 was a 58-year-old man with an ejection fraction of 30%. Despite ongoing exercise and a further increment in pacing rate, V ~ O2 failed to increase beyond a pacing rate of 110 beats . min 1 (V ~ O2-plateau). The resulting difference between the maximum age-predicted heart rate (MHR) of 162 beats . min 1 and the optimum upper rate limit (OURL) of 110 beats . min 1 was 52 beats . min 1. Interestingly, V ~ O2 peaked shortly after the end of exercise when pacing rate sharply decreased. In contrast to patient no. 1, in patient no. 2 (73 years, ejection fraction 80%) oxygen consumption was continuously increasing up to the end of exercise without formation of a plateau. The optimum upper rate limit was estimated at 160 beats . min 1, 13 beats . min 1 above the theoretical maximum heart rate of 147 beats . min 1. minimum value during the course of exercise and increased again until the end of exercise. The Z ratio first increased and then decreased during exercise in 25 out of 33 patients (76%). Despite a slightly lower mean Tei index and a slightly higher Z ratio at rest and during maximum workload in group II, these differences were far from being significant. Although neither the Tei index nor the Z ratio nor any other Doppler parameter was able to differentiate between patients with and without left ventricular dysfunction, the intra-individual time course of the Doppler indices allowed for the identification of the optimum upper heart rate limit in the majority of patients. In Table 5, the optimum upper rate limits as determined by cardiopulmonary exercise testing, by the minimum of the Tei index and by the maximum of the Z ratio are given for each of the 33 patients who underwent a combined examination of ventilatory and Doppler echo parameters. The correlation for the relationship between the optimum upper rate limits as determined by spiroergometry and by the two Doppler indices was highly significant (P<0·0001). As indicated by the rank corre- lation coefficient, the correlation was better for the Tei index (r=0·81, see Fig. 4) than for the Z ratio (r=0·66). The mean deviation between spiroergometry and Doppler echo was significantly (P<0·008) smaller for the Tei index (deviation 66 beats . min 1) than for the Z ratio (deviation 1213 beats . min 1). Discussion This is the first study that presents an approach for the determination of the individual optimum for maximum exercise heart rate in patients with heart failure. Pacemaker stimulation in chronotropic incompetence was used as an experimental model to study the effects of heart rate increase on cardiac function during exercise. According to the results presented, both methods, cardiopulmonary exercise testing with evaluation of oxygen uptake kinetics as well as exercise Doppler echocardiography with successive measurements of the Tei index lead to similar results. Eur Heart J, Vol. 23, issue 16, August 2002 1306 M. Kindermann et al. ns ns 350 300 ns p < 0·001 250 p < 0·04 200 150 100 Ejection time (ms) 300 400 ns p < 0·05 250 200 150 100 50 50 0 Isovolumic contraction time (ms) 350 ns 450 Rest 120 100 bpm ns ns 100 ns 80 p < 0·03 60 40 20 0 Rest 100 bpm 0 Max. WL Opt. URL Isovolumic relaxation time (ms) Diastolic filling time (ms) 500 Max. WL Opt. URL 180 160 Rest 100 bpm Max. WL Opt. URL ns 140 120 ns 100 ns ns 80 60 40 20 0 Rest 100 bpm Max. WL Opt. URL Figure 3 Doppler echo time intervals at rest, during exercise with a pacing rate of 100 beats . min 1, at maximum workload (Max. WL) and at the optimum upper rate limit (Opt. URL) as determined by cardiopulmonary exercise testing. Comparisons between groups I and II are given in the figure (ns, not significant). Intra-group comparisons can be summarized as follows. Group I: ( ) for filling and ejection time, all differences were significant with the exception of 100 beats . min 1 vs Opt. URL. For isovolumic contraction time, only Rest vs Max. WL and Rest vs Opt. URL were significant. For isovolumic relaxation time, all comparisons but Rest vs 100 beats . min 1 and Max. WL vs Opt. URL were significant. Group II: ( ) all differences were significant with the following exceptions: Max. WL vs Opt. URL for filling time and isovolumic relaxation time and Rest vs 100 beats . min 1 for ejection time. Optimum upper rate limit – Tei index –1 (beats.min ) The findings of this study which reported significantly lower optimum upper rate limits for patients with left ventricular dysfunction are in accordance with previous Table 5 Comparison of optimum upper rate limits as defined by cardiopulmonary exercise testing and Doppler echo CPx Tei Z 150 130 130 140 130 120 140 120 130 90 140 140 130 150 120 105 110 150 130 140 120 130 120 140 130 130 85 120 140 140 140 120 120 100 150 130 140 120 130 110 80 130 130 70 120 140 110 130 120 120 80 CPx Tei Z 105 150 130 110 130 105 140 130 110 110 120 110 110 110 120 104 105 150 140 120 115 110 140 120 105 110 120 120 120 110 130 104 105 150 140 120 115 110 140 120 105 70 120 120 120 80 110 104 160 150 Spearman's R = 0·81 140 130 120 110 100 Line of equality 90 80 90 100 110 120 130 140 150 160 –1 Optimum upper rate limit – CPx (beats.min ) Figure 4 Correlation between the optimum upper heart rate limits as measured by cardiopulmonary exercise testing (CPx) and by Doppler echo (Tei index). Eightyeight percent of all points are within a 10 beats . min 1 frequency band around the line of equality. Eur Heart J, Vol. 23, issue 16, August 2002 K.Ch. I.S. G.R. F.Lu. H.Bl. A.L. S.Ko. S.B. H.E. J.A. E.K. W.F. D.U. J.S. K.A. K.S. S.N. M.W. H.Be. H.M. S.M. K.Co. H.W. A.S. K.H. D.R. K.P. L.M. F.B. S.Kl. P.T. L.G. F.Lo. CPx/Tei/Z=optimum upper rate limits (in beats . min 1) as defined by cardiopulmonary exercise testing (CPx) or Doppler echocardiography using the Tei-index or Z-ratio criterion. Optimum heart rate limit during exercise studies: Sowton[20] using indicator-dilution cardiac output measurements, was the first to observe that optimal heart rates on exercise were considerably lower in patients with myocardial disease. However, only two studies[21,22] systematically investigated the influence of the upper rate limit in pacemaker patients with and without heart failure. Using cardiopulmonary exercise testing and fixed upper rate limits, they found that patients with advanced heart failure increased their aerobic capacity by rate adaption up to 110 beats . min 1 but had no additional benefit with heart rates between 110 and 130 beats . min 1. One of the main results of this study is that the majority (71%) of patients investigated had optimum upper heart rate limits that were below the maximum pacing rates programmed at peak exercise. These patients were characterized by a levelling off in oxygen uptake, a failure to increase oxygen consumption despite ongoing exercise with increasing workloads and increasing pacing rate. As oxygen consumption is the product of heart rate, stroke volume and arteriovenous oxygen difference and since the latter cannot decrease if workload is still increasing, the lack of an increase in oxygen uptake despite increasing pacing rate can only be explained by a fall in stroke volume. The decrease in stroke volume may be understood as an impairment of cardiac pump performance — a systolic or diastolic or combined malfunction — induced by inadequate tachycardia. Three possible mechanisms may explain tachycardia related decreases in pump function: induction of ischaemia[22], impairment of left ventricular diastolic filling[23,24] and a loss or an inversion of the positive force–frequency relationship[5–7,23]. Although far more frequent in severe structural heart disease, none of these mechanisms is exclusively linked to low ejection fractions: ischaemia may limit exercise and heart rate tolerance even in patients with normal pump function at rest[22], a predominantly disturbed diastolic function with maintained contractility is typical for left ventricular hypertrophy and different degrees of an impaired force–freqency relationship have been observed in various types of heart disease[7]. Thus, the optimum upper heart rate limit is not a function of a single parameter of cardiac haemodynamics but the result of a complex interaction of systolic and diastolic properties. This is the main reason why both groups of this study included patients with a plateau of oxygen uptake kinetics despite a significant group difference for the optimum upper rate limit. Although it can be derived from this study that in patients with a normal ejection fraction the upper pacing rate should be limited to 85% of age-predicted maximum heart rate and in patients with a reduced ejection fraction it should not exceed 75%, these are just rules of thumb. The inability of ejection fraction to predict the optimum upper rate limit in the individual patient is demonstrated by the wide scatter in each study group. Two subjects in the left ventricular dysfunction group had rather high upper rate optima of 130 beats . min 1, which corresponded to 87% and 92% of the age- 1307 predicted maximum heart rate, whereas in the group with a normal left ventricular ejection fraction there were six subjects with optimum upper rate limits of only 68%–75%. This emphasizes the importance of an individualized approach which may be crucial in young, active people who suffer from impaired cardiac function. In these patients the potential span between the physiological optimum of maximum pacing rate and the maximum age-predicted heart rate is particularly large. A maximum pacing rate that is programmed too low will cause an additional impairment of aerobic capacity, while an excess of overpacing during exercise does not contribute to cardiac output and might be harmful. It has been shown that tachycardia at rest[8] and an attenuated heart rate recovery after exercise[25] are predictive of mortality. Whether the same is true for an inadequately high heart rate during exercise is not known and requires further investigations. The methods proposed in this study have been applied to pacemaker patients with chronotropic incompetence for two reasons: firstly, there is a clinical need for a tool to optimize pacing haemodynamics in these patients and secondly, investigations of the heart rate-related impact on haemodynamics can more easily be performed in pacemaker patients because heart rate is under the control of the investigator. However, the approaches of this study may have wider clinical applications. This could be the identification of inappropiate exercise tachycardia in patients with impaired left ventricular function. Basically both methods, cardiopulmonary exercise testing with evaluation of oxygen uptake kinetics as well as repetitive measurements of the Tei index, should permit not only the identification of the optimum upper heart rate limit, they may additionally serve as tools for the titration of drugs with negative chronotropic effects. In patients with inadequate exercise tachycardia due to atrial fibrillation, these methods may be used to control exercise heart rate on a haemodynamically based rationale. In heart failure patients, the information that a given exercise heart rate, which might be far below the maximum age-predicted rate, is haemodynamically useless, may be valuable for tailoring therapy with beta-blockers. Further studies are needed to evaluate the clinical value of these approaches with regard to morbidity and mortality. Interestingly, there was no significant difference in the Tei index between patients with normal and impaired left ventricular function. Tei et al.[17] demonstrated that this index discriminates between normals and patients with different degrees of left ventricular dysfunction. The finding of this study that the Tei index was a good indicator of intra- but not inter-individual cardiac performance may be explained by different patients studied. All patients in the current study had cardiac pacemakers and, with the exception of two patients, were paced in the right ventricle. As right ventricular pacing by itself reduces left ventricular performance[26] this might have worsened the Tei index in both groups resulting in a loss in discriminative power. This hypothesis is supported by the rather high value for the resting Tei index in our Eur Heart J, Vol. 23, issue 16, August 2002 1308 M. Kindermann et al. ‘normal’ population (0·670·12) as compared to 0·390·05 which was reported for normal subjects without pacemaker by Tei et al.[17]. The inability of the Z ratio to distinguish between pacemaker patients with intact and impaired left ventricular function was not too surprising, because this parameter seems to be more susceptible to changes in ventricular activation sequence than to changes in systolic parameters[18]. As the vast majority of patients in both groups had an altered ventricular activation pattern due to right ventricular pacing this might have levelled out the impact of different ejection fractions. Limitations The assumption that arteriovenous oxygen difference at the end of exercise is virtually constant was not confirmed by direct measurements and the influence of different exercise modalities and heart rate protocols was not investigated. The definition of the optimum upper rate limit was guided by the intention to maximize cardiac output. This method of defining optimal rate, however, requires a reminder that cardiac integrity should never be compromised by maximizing output. Thus, in case of ischaemia, hypoxia or arrhythmias, high heart rates are not optimal for the patient even if they produce maximum cardiac output. Conclusions Cardiopulmonary exercise testing and exercise Doppler echocardiography are valuable tools to define the optimum upper heart rate limit in individual patients with rate adaptive cardiac pacemakers. In patients with left ventricular dysfunction, the optimum upper heart rate limit is usually lower than in patients with intact left ventricular function. However, an individualized approach to determine the optimum heart rate limit is mandatory and specifically recommended in young and active patients with severe heart disease to avoid excess heart rates which might be harmful. References [1] Higginbotham MB, Morris KG, Williams RS, McHale PA, Coleman RE, Cobb FR. Regulation of stroke volume during submaximal and maximal upright exercise in normal man. Circ Res 1986; 58: 281–91. [2] Alt EU, Schlegl MJ, Matula MM. 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