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Circulation. 1995;92:2327-2332

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*Exercise for Children
*Exercise and Physical Fitness

(Circulation. 1995;92:2327-2332.)
© 1995 American Heart Association, Inc.


Articles

Adrenergic Control of the Force-Frequency Relation

John Ross, Jr, MD; Toshiro Miura, MD; Masashi Kambayashi, MD; Gregory P. Eising, MD; Kyu-Hyung Ryu, MD, PhD

From the Division of Cardiology, Department of Medicine, University of California, San Diego.

Correspondence to John Ross, Jr, MD, Department of Medicine, 0613B, University of California, San Diego, 9500 Gilman Dr, La Jolla, CA 92093-0613.


*    Abstract
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*Abstract
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down arrowEffect of Heart Rate...
down arrowAdrenergic Control of Force...
down arrowHeart Rate and Diastolic...
down arrowNormal Physiological Control
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Abstract This article briefly reviews recent experimental studies which show that ß-adrenergic receptor stimulation produces an important enhancement of the force-frequency relation on myocardial contractility. The basic property of the force-frequency effect to progressively enhance myocardial contractility as heart rate increases is augmented at each level of increasing adrenergic stimulation. This newly described intrinsic mechanism for the control of cardiac inotropic state, graded ß-adrenergic amplification of the force-frequency relation, is strongly manifested during normal exercise and infusion of a ß-adrenergic agonist at rest, and it influences both systolic and diastolic ventricular function. Significant impairment of adrenergic amplification of the force-frequency relation is observed in experimental heart failure and could contribute to impaired cardiac function during stress or exercise in this setting.


Key Words: heart rate • ventricles • heart failure • exercise


*    Introduction
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up arrowAbstract
*Introduction
down arrowCardiac Responses During Normal...
down arrowEffect of Heart Rate...
down arrowAdrenergic Control of Force...
down arrowHeart Rate and Diastolic...
down arrowNormal Physiological Control
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In addition to the interrelated effects on cardiac performance of preload, afterload, and myocardial contractility, heart rate has long been known to play an important role by enhancing cardiac output through an increased number of beats per minute when the venous return is increased, as during exercise, and by its action on basal myocardial contractility.1 The latter effect, often called the force-frequency or strength-interval relation (the Bowditch staircase2 ), is known to influence myocardial contractility (inotropic state) in isolated cardiac muscle3 4 and in anesthetized animals.5 6 Such an effect was considered minor in conscious animals,7 although significant enhancement of contractility during rapid atrial pacing in conscious dogs was later suggested on the basis of a sustained maximum first derivative (dP/dtmax) of LV pressure at increased heart rates, despite a fall in LVEDP.8 Thus, because LV dP/dtmax is sensitive to preload,9 10 a reduction in LVEDP alone would have been expected to reduce LV dP/dtmax.8 A positive inotropic effect of increased heart rate produced by pacing also has been demonstrated in healthy human subjects.11 12 More recently, progressive enhancement of the slope of the relation between LVESV and LVESP (an estimate of maximum elastance [Emax] as defined in the isolated heart13 ) was shown as heart rate was increased progressively by atrial pacing in conscious resting dogs,14 although the volume intercept of this relation was variable and often shifted.

Because the relation between LVEDV and LV dP/dtmax was previously shown to be positive and linear and to exhibit an upward shift with increased slope in response to ß-adrenergic stimulation,10 and because LV dP/dtmax (like dF/dt in isolated cardiac muscle15 ) provides a measure of the velocity of contraction and myocardial contractility, provided that the preload is considered, we have relied primarily on dP/dtmax in assessing force-frequency effects.

The force-frequency relation has been shown to be of major importance in the regulation of myocardial contractility in vivo on the basis of recent experiments in conscious animals both during exercise and at rest, as discussed later. These studies indicated that, in addition to the primary intrinsic control of ventricular contractility by neurohormonal ß-adrenergic stimulation, preload and length-dependent activation, and the heart rate under normal conditions, amplification of the force-frequency relation during ß-adrenergic receptor stimulation during stress or severe exercise provides a fourth primary mechanism influencing contractility. Moreover, loss of such adrenergic control of the force-frequency relation may be a significant factor in heart failure.


*    Cardiac Responses During Normal Exercise
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*Cardiac Responses During Normal...
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down arrowNormal Physiological Control
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The remarkable ability of the normal heart to increase its performance during exercise has been attributed chiefly to a direct effect of increased ß-adrenergic stimulation on the myocardium to increase contractility. The influence of exercise on myocardial contractility was shown to shift the ESP-ESV relation upward and to increase end-systolic elastance in conscious dogs.16 This effect, together with decreased systemic vascular resistance, increased venous return, and augmented heart rate, can produce a fourfold to sixfold increase in cardiac output. As shown in conscious dogs,17 the increased myocardial inotropic state during strenuous exercise also permits the LV to relax more rapidly, to enhance stroke volume, and to lower the ESV, thereby producing early LV diastolic pressure that is below zero. As a result, diastolic filling is markedly enhanced during strenuous exercise, despite a decrease in the diastolic filling period by >60%.17 These events have been shown to be accompanied by an increase in the early-diastolic mitral valve pressure gradient18 and to prevent a significant increase in mean left atrial pressure during exercise.17 18


*    Effect of Heart Rate on Cardiac Contractility and Performance During Exercise
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up arrowAbstract
up arrowIntroduction
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*Effect of Heart Rate...
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As suggested above, the primary effects of exercise on myocardial contractility have been attributed to the increased direct effect of myocardial ß-adrenergic receptors to enhance myocardial contraction, but recent studies indicate that ß-adrenergic control of the force-frequency relation is at least as important.19

To study the effects of heart rate alone during exercise, a method was needed in which the normal sequence of AV contraction and normal electric activation of the ventricles could be preserved, obviating the effects of such measures as surgical induction of complete heart block with ventricular pacing or AV sequential pacing. Therefore, we took the approach of controlling the atrial rate by electric stimulation of the atrium after slowing the spontaneous rate with the specific sinus node inhibitor zatebradine (UL-FS 49).19 This agent has been shown to act primarily on the If pacemaker channel20 and to have no direct effect on myocardial contractility.21 22 Thus, contractility changes observed when heart rate is slowed with this agent are mediated only by the force-frequency effect operating in a negative manner.

Experiments were performed in conscious, instrumented dogs trained to run on a treadmill in which high-fidelity LV pressure and LV dP/dtmax were measured, together with LV chamber dimensions and calculated ventricular volumes, by use of implanted ultrasonic crystals. During strenuous exercise at a heart rate of 240 bpm, UL-FS 49 was given to slow the exercise heart rate to <150 bpm while the same level of exercise was continued, which resulted in a reduction in LV dP/dtmax and an increase in stroke volume. Heart rate was then immediately returned to 240 bpm by atrial pacing, and all measurements became identical to those immediately before drug administration, indicating a lack of any direct effect of UL-FS 49 on myocardial contractility. With a pacemaker, it was then possible to lower the atrial rate stepwise for brief periods sufficient to achieve a steady state. Heart rate was reduced from 240 to 210, 180, and 150 bpm; it was returned to 240 bpm between each step while exercise at a constant level was continued. A pronounced negative inotropic effect of slowing the heart rate during exercise was evident, as reflected in a progressive fall in LV dP/dtmax (Fig 1ADown). This occurred despite a progressive increase of LVEDP and LVEDV (Fig 1BDown),19 which alone would be expected to increase LV dP/dtmax.9 10 The ESP-ESV relation was previously shown to be shifted upward and steepened during normal exercise,16 and slowing the heart rate during exercise caused the ESP-ESV points to be shifted downward, reflecting an altered position of the ESP-ESV relation and indicating reduced myocardial contractility (Fig 1CDown).19 These changes, caused by the force-frequency effect, appeared to account for more than one half of the positive inotropic effect of exercise, since ß-adrenergic neurohumoral stimulation to the heart was not likely to have changed during the brief periods of cardiac slowing during steady state exercise.



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Figure 1. A, Diagram of relations between heart rate and LV dP/dtmax in dogs at rest (X), during strenuous exercise (Y), and after maximum heart rate slowing during continued exercise (Z) when the heart rate was slowed by pacing after zatebradine administration (based on the study of Miura et al19 ). B, Diagram of relations between LV dP/dtmax and changes in LVEDV under the same three conditions described above (based on the studies of Miura et al19 and Little10 ). C, Diagram of relations between LV dP/dtmax and LVESP (LVESP-LVESV relations) under the same three conditions described above (based on the studies of Miura et al19 and Little and Cheng16 ).


*    Adrenergic Control of Force-Frequency Effects on LV dP/dtmax
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up arrowAbstract
up arrowIntroduction
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*Adrenergic Control of Force...
down arrowHeart Rate and Diastolic...
down arrowNormal Physiological Control
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The possibility that enhanced ß-adrenergic receptor stimulation caused the augmented positive inotropic effect of increased heart rate during exercise (studied in the above-described experiments by slowing the heart rate to produce a negative inotropic effect) was examined in conscious dogs through the study of force-frequency effects during graded infusions of the ß-adrenergic receptor agonist dobutamine under resting conditions.23 During infusions of low, medium, and high doses of dobutamine, heart rate was varied from 100 to 210 bpm by atrial pacing. A marked dose-dependent effect of dobutamine infusion to enhance the small effect of increasing heart rate on LV dP/dtmax under basal conditions was observed (Fig 2ADown). During the dobutamine infusions, despite the expected progressive fall in LVEDP as heart rate was increased by pacing at rest, LV dP/dtmax progressively increased as heart rate was augmented; the increase was greater at high doses than at low doses of dobutamine, and the range of LV filling pressures was similar to that under resting conditions (Fig 2BDown). The time constant of LV relaxation ({tau}) was decreased under basal conditions by an increase in cardiac frequency, and this frequency effect on {tau} was further magnified by ß-adrenergic stimulation in a dose-dependent manner.23



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Figure 2. A, Diagram of relations between LV dP/dtmax and heart rate as heart rate is progressively increased by pacing at rest and by pacing during low- and high-dose dobutamine infusions (based on the study of Kambayashi et al23 ). B, Diagram of relations between LVEDP and LV dP/dtmax as heart rate is increased from 100 to 200 bpm both under conditions at rest (control) and during low- and high-dose dobutamine infusions. LVEDP falls as heart rate is increased in all three conditions (based on the study of Kambayashi et al23 ).

The importance of a direct myocardial effect of ß-adrenergic receptor stimulation acting together with amplification of the force-frequency relation during exercise is illustrated by experiments with less severe exercise in conscious dogs before and after ß-adrenergic blockade. The resting LV dP/dtmax was reduced, and the early increase of LV dP/dtmax in response to exercise (before the development of regional ischemia in this animal model) was completely prevented by prior ß-adrenergic blockade,24 despite a modest increase in heart rate with exercise. These responses suggest that both direct myocardial ß-adrenergic stimulation and amplification by ß-adrenergic stimulation of the force-frequency effect on myocardial contraction were prevented by ß-blockade.


*    Heart Rate and Diastolic Filling During Exercise
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up arrowAbstract
up arrowIntroduction
up arrowCardiac Responses During Normal...
up arrowEffect of Heart Rate...
up arrowAdrenergic Control of Force...
*Heart Rate and Diastolic...
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The effects of normal exercise to increase the relaxation rate of the LV and to shift the early portion of the EDP-EDV relation downward (below zero) with strenuous exercise17 18 were found to be markedly impaired by a decrease in heart rate.25 During exercise, the influence of heart rate on diastolic function was assessed in conscious dogs in which isolated slowing of the heart rate to 160 bpm during exercise was produced by zatebradine and compared with effects at the spontaneous exercising heart rate of 210 bpm at the same exercise level before drug administration. Not only was the time constant of LV relaxation ({tau}) prolonged at the slowed heart rate, but an upward shift of the early portion of the LV diastolic pressure-volume relation occurred (Fig 3Down); at the same exercise level, the mean left atrial and LVEDPs were higher, and the mean filling rate in the first half of diastole was lower.25 Thus, an important part of the striking improvement in LV diastolic function during normal exercise relates to the positive inotropic and lusitropic effects of amplification of the force-frequency response by ß-adrenergic stimulation. From studies of exercise in dogs with and without ß-adrenergic blockade, Cheng et al26 also concluded that both heart rate and sympathetic stimulation are involved in the reduction of early LV diastolic filling pressure and improved filling during normal exercise.



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Figure 3. Plot showing averaged LV pressure-volume relations during continuous exercise in dogs after UL-FS 49 ({circ}; heart rate [HR], 160 bpm) and after pacing back to the predrug exercise heart rate ({bullet}; heart rate, 210 bpm). The four points used to calculate the curve are at mitral valve opening, minimum LV pressure, end diastole, and the midpoint between minimal LV pressure and end diastole. Relaxation was delayed and the early portion of the curve was shifted upward at the slowed heart rate, whereas the late portions appeared identical. Reproduced with permission of the American Heart Association and the authors of Reference 25.


*    Normal Physiological Control
up arrowTop
up arrowAbstract
up arrowIntroduction
up arrowCardiac Responses During Normal...
up arrowEffect of Heart Rate...
up arrowAdrenergic Control of Force...
up arrowHeart Rate and Diastolic...
*Normal Physiological Control
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These important effects on myocardial contractility and diastolic function of amplification of the force-frequency relation during exercise or ß-adrenergic agonist infusion allow an expanded view of the intrinsic factors responsible for normal physiological control of myocardial contractility. Thus, in addition to the effects of direct neurohumoral stimulation to augment contractility through myocardial ß-adrenergic receptors, length-dependent activation effects on the Ca2+ sensitivity of the myofilaments, and the force-frequency relation at rest, pronounced regulation of the force-frequency effect by altered neurohumoral ß-adrenergic stimulation can be added as a fourth important control mechanism (Fig 4Down).



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Figure 4. Expanded scheme of the intrinsic factors regulating myocardial contractility in vivo showing the direct myocardial effect of ß-adrenergic receptor (ß-AR) stimulation (1), length-dependent activation (2), the basal force-frequency relation (3), and the regulatory effect of enhanced ß-AR stimulation on the force-frequency relation (4).

The mechanisms involved in the force-frequency effects on contractility when heart rate is increased under basal conditions are related primarily to increased Ca2+ availability to the myofilaments. This occurs as a result of enhanced transsarcolemmal Ca2+ influx caused by an increased number of action potentials, corresponding increases in the filling of the SR and augmentation of subsequent Ca2+ transients,27 and the reduced time available for diastolic Ca2+ efflux through the Na+-Ca2+ exchanger.28 A lag in the Na+,K+-ATPase pump leading to a decreased Na+ gradient also appears to contribute.28 Amplification of the force-frequency effect by exercise or ß-adrenergic receptor agonist infusion probably includes a further increase in [Ca2+]i availability owing to phosphorylation of L-type Ca2+ channels by cAMP-dependent protein kinase A, which leads to increased Ca2+ entry,29 and to phosphorylation of phospholamban which causes enhanced SR Ca2+ reuptake, loading, and release.30 The effect on phospholamban also enhances the myocardial relaxation rate. ß-Adrenergic stimulation also causes cAMP-dependent phosphorylation of troponin I with a decrease in myofilament Ca2+ sensitivity. The associated off-loading of Ca2+ from troponin I could contribute further to enhanced myocardial relaxation rate with ß-adrenergic stimulation.31


*    Force-Frequency Relations in Heart Failure
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up arrowAbstract
up arrowIntroduction
up arrowCardiac Responses During Normal...
up arrowEffect of Heart Rate...
up arrowAdrenergic Control of Force...
up arrowHeart Rate and Diastolic...
up arrowNormal Physiological Control
*Force-Frequency Relations in...
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Recent experimental studies indicated that ß-adrenergic amplification of the force-frequency effect on myocardial contractility is impaired in cardiac failure.32 Heart failure was produced in pigs by rapid ventricular pacing for several weeks, which lowered the echocardiographic fractional shortening from 39% to 17% and markedly reduced LV dP/dtmax compared with values before rapid pacing. The effects of dobutamine infusion on the force-frequency response, assessed by the relation between LV dP/dtmax and heart rate (atrial pacing over the range of 100 to 225 bpm), were examined before and after heart failure. The increase in LV dP/dtmax at increasing heart rates during ß-adrenergic stimulation observed in control studies before heart failure (Fig 5Down, left) was lost in the failing heart (Fig 5Down, right).32 Thus, in addition to the known reduction of the direct myocardial inotropic response to ß-adrenergic stimulation in heart failure,33 another significant effect of impaired ß-adrenergic function occurred: loss of adrenergic control of the force-frequency relation. This effect could impair both systolic and diastolic ventricular responses to exercise in heart failure. In this connection, Cheng et al,34 in a study of exercise in dogs with pacing-induced heart failure, showed that exercise caused delayed relaxation, an increase in early diastolic LV pressure, and higher left atrial pressure, effects that could relate in part to impaired adrenergic enhancement of the force-frequency effect.



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Figure 5. Plots showing the relations between paced heart rate (bpm) and the first derivative of LV dP/dtmax in pigs before (left) and after (right) heart failure. Data are also shown without ({bullet}, basal) and during dobutamine (Dobut) infusion ({circ}). Before heart failure, the basal slope of the force-frequency relation was not significant; the force-frequency relation slope (**) was increased with dobutamine infusion, P<.003; and basal vs dobutamine (x), P<.006. After heart failure, the basal slope of the force-frequency relation was P<.001; the force-frequency relation with dobutamine (++), P<.0001; the basal relation was shifted downward during heart failure compared with controls (xx, P<.006); and the basal slope of the force-frequency vs dobutamine slope was NS. Data are mean±SD, n=6. Reproduced with permission from Eising et al.32

Isometrically contracting cardiac muscle taken from failing human hearts at the time of cardiac transplantation often shows a descending limb of the relation between increasing contraction frequency and peak tension.35 Although we failed to find evidence for such a descending limb in the intact pig based on measurements of contraction velocity (LV dP/dtmax, Fig 5Up),32 a descending limb has been observed in the normal rabbit heart at high physiological frequencies (>400 bpm) and after pacing-induced heart failure at lower frequencies (Fig 6Down).36 Such a descending limb could contribute further to dysfunction of the failing heart during stress or exercise. An important reduction of the force-frequency amplification by dobutamine infusion also was observed in the failing rabbit heart in this preliminary report, and the descending limb at high cardiac frequencies in that species could be largely prevented by dobutamine infusion (Fig 6Down).36



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Figure 6. Scatterplots showing an example in a single rabbit of LV dP/dtmax vs heart rate at rest ({circ}, basal) and during dobutamine (Dobut) infusion ({bullet}) before (left, control) and after (right) heart failure. The force-frequency relation (LV dP/dtmax vs paced heart rate) in this rabbit is characterized by ascending and descending limbs before and after heart failure. The control relations ({circ}) develop a clear descending limb at a heart rate of 400 bpm before (left) and at 350 bpm after (right) heart failure; both descending limbs are improved by dobutamine infusion ({bullet}).

Mechanisms of impaired myocardial Ca2+ handling in heart failure that may be important in abnormal force-frequency responses are the subject of ongoing study.37 Abnormalities described in myocardium from patients with end-stage heart failure include impaired [Ca2+]i transients, indicating reduced Ca2+ release from the SR and delayed reuptake,38 a reduction in the number of sarcolemmal calcium channels,39 and abnormal mRNA levels of Ca2+ transport proteins, including the Ca2+ release channel.40 There have been reports of decreased SR Ca2+ ATPase mRNA levels,41 although recent evidence suggests that SR Ca2+ ATPase protein levels are normal in cardiac muscle from failing human hearts.42 It is possible that the descending limb of function of the force-frequency relation in the rabbit, which was more pronounced in heart failure, is related to impaired function of SR Ca2+ ATPase43 or to delayed mechanical restitution as a consequence of slow recovery of the Ca2+ release channel.28 With regard to the latter possibility, it has been shown that mechanical restitution is slowed in failing rabbit and dog hearts,44 45 and it is of interest that studies in normal isolated papillary muscles show enhancement of mechanical restitution by ß-adrenergic stimulation46 ; these observations may relate to the observed correction of the descending limb by dobutamine infusion (Fig 6Up).

A number of steps in the ß-adrenergic stimulation pathway are abnormal in heart failure, including a reduced number of ß-adrenergic receptors and defects in G proteins,38 47 48 which may underlie the observed impairment of ß-adrenergic amplification of the force-frequency effect in heart failure. Better understanding of such mechanisms should lead to improved therapy for the multiple effects of reduced ß-adrenergic stimulation on the failing heart.

In summary, the basic manifestation of the myocardial force-frequency relation to increase contractility progressively with higher heart rates has been shown to be subject to marked enhancement by ß-adrenergic stimulation during normal exercise or during administration of a ß-adrenergic agonist. In the clinical setting, reduction of this amplification effect probably is important in the reduced cardiac response to exercise after ß-adrenergic blockade and in heart failure when ß-adrenergic mechanisms are impaired. Also, loss of amplification of the force-frequency effect during exercise as a consequence of chronotropic incompetence or heart block undoubtedly contributes to impaired cardiac responses in these conditions, despite maintained sympathetic stimulation. Correction of impaired heart rate responses by rate-responsive pacemakers may help to explain their beneficial effect on exercise performance. Thus, the fourth major intrinsic factor regulating myocardial contractility (Fig 4Up) appears to be highly important under normal conditions and may be of functional significance in a variety of disease states.


*    Selected Abbreviations and Acronyms
 
bpm = beats per minute
EDP = end-diastolic pressure
EDV = end-diastolic volume
ESP = end-systolic pressure
ESV = end-systolic volume
LV = left ventricular
SR = sarcoplasmic reticulum

Received February 6, 1995; revision received April 26, 1995; accepted May 10, 1995.


*    References
up arrowTop
up arrowAbstract
up arrowIntroduction
up arrowCardiac Responses During Normal...
up arrowEffect of Heart Rate...
up arrowAdrenergic Control of Force...
up arrowHeart Rate and Diastolic...
up arrowNormal Physiological Control
up arrowForce-Frequency Relations in...
*References
 
1. Ross J Jr. Cardiovascular section. In: West JW, ed. Best & Taylor's Physiological Basis of Medical Practice. 12th ed. Baltimore, Md: Williams & Wilkins; 1991:222-237.

2. Bowditch HP. Über die eigenthümlichkeiten der reizbarkeit welche die muskelfasern des herzens zeigen. Arb Physiol Aust. 1871;6:139-176.

3. Koch-Weser J, Blinks JR. The influence of the interval between beats on myocardial contractility. Pharmacol Rev. 1963;15:601-652. [Abstract/Free Full Text]

4. Buckley NM, Penefsky ZJ, Litwak RS. Comparative force-frequency relationships in human and other mammalian ventricular myocardium. Pflugers Arch. 1972;332:259-270. [Medline] [Order article via Infotrieve]

5. Covell JW, Ross J Jr, Taylor R, Sonnenblick EH, Braunwald E. The effects of increasing frequency of contraction on the force-velocity relation of the left ventricle. Cardiovasc Res. 1967;1:2-8. [Abstract/Free Full Text]

6. Mitchell JH, Wallace AG, Skinner NS Jr. Intrinsic effects of heart rate on left ventricular performance. Am J Physiol. 1963;205:41-48.

7. Higgins CB, Vatner SF, Franklin D, Braunwald E. Extent of regulation of the heart's contractile state in the conscious dog by alteration in the frequency of contraction. J Clin Invest. 1973;52:1189-1194.

8. Mahler F, Yoran C, Ross J Jr. Inotropic effect of tachycardia and poststimulation potentiation in the conscious dog. Am J Physiol. 1974;227:569-575.

9. Mahler F, Ross J Jr, O'Rourke RA, Covell JW. Effects of changes in preload, afterload and inotropic state on ejection and isovolumic phase measures of contractility in the conscious dog. Am J Cardiol. 1975;35:626-633. [Medline] [Order article via Infotrieve]

10. Little WC. The left ventricular dP/dtmax–end-diastolic volume relation in closed-chest dogs. Circ Res. 1985;56:808-815. [Abstract/Free Full Text]

11. Sonnenblick EH, Braunwald E, Williams JF Jr, Glick G. Effects of exercise on myocardial force-velocity relations in intact unanesthetized man: relative role of changes in heart rate, sympathetic activity, and ventricular dimensions. J Clin Invest. 1965;44:2051-2062.

12. Feldman MD, Alderman JD, Aroesty JM, Royal HD, Ferguson JJ, Owen RM, Grossman W, McKay RG. Depression of systolic and diastolic myocardial reserve during atrial pacing tachycardia in patients with dilated cardiomyopathy. J Clin Invest. 1988;82:1661-1669.

13. Suga H, Sagawa K, Shoukas AA. Load independence of the instantaneous pressure-volume ratio of the canine left ventricle and effects of epinephrine and heart rate on the ratio. Circ Res. 1973;32:314-322. [Abstract/Free Full Text]

14. Freeman GL, Little WC, O'Rourke RA. Influence of heart rate on left ventricular performance in conscious dogs. Circ Res. 1987;61:455-464. [Abstract/Free Full Text]

15. Sonnenblick EH. Force-velocity relations in mammalian heart muscle. Am J Physiol. 1962;202:931-939.

16. Little WC, Cheng C-P. Effect of exercise on left ventricular-arterial coupling assessed in the pressure-volume plane. Am J Physiol. 1993;264:H1629-H1633. [Abstract/Free Full Text]

17. Miyazaki S, Guth BD, Miura T, Indolfi C, Schulz R, Ross J Jr. Changes of left ventricular diastolic function in exercising dogs without and with ischemia. Circulation. 1990;81:1058-1070. [Abstract/Free Full Text]

18. Cheng C-P, Igarashi Y, Little WC. Mechanism of augmented rate of left ventricular filling during exercise. Circ Res. 1992;70:9-19. [Abstract/Free Full Text]

19. Miura T, Miyazaki S, Guth BD, Kambayashi M, Ross J Jr. Influence of the force-frequency relation on left ventricular function during exercise in conscious dogs. Circulation. 1992;86:563-571. [Abstract/Free Full Text]

20. Goethals M, Raes A, van Bogaert P-P. Use-dependent block of the pacemaker current If in rabbit sinoatrial node cells by zatebradine (UL-FS 49): on the mode of action of sinus node inhibitors. Circulation. 1983;88(part 1):2389-2401.

21. Guth BD, Heusch G, Seitelberger R, Ross J Jr. Elimination of exercise-induced regional myocardial dysfunction by a bradycardiac agent in dogs with coronary stenosis. Circulation. 1987;75:661-669. [Abstract/Free Full Text]

22. Indolfi C, Guth BD, Miura T, Miyazaki S, Schultz R, Ross J Jr. Mechanisms of improved ischemic regional dysfunction by bradycardia. Circulation. 1989;80:983-993. [Abstract/Free Full Text]

23. Kambayashi M, Miura T, Oh B-H, Rockman HA, Murata K, Ross J Jr. Enhancement of the force-frequency effect on myocardial contractility by adrenergic stimulation in conscious dogs. Circulation. 1992;86:572-580. [Abstract/Free Full Text]

24. Matsuzaki M, Patritti J, Tajimi T, Miller M, Kemper WS, Ross J Jr. Effects of ß-blockade on regional myocardial flow and function during exercise. Am J Physiol. 1984;247:H52-H60.

25. Miura T, Miyazaki S, Guth BD, Indolfi C, Ross J Jr. Heart rate and force-frequency effects on diastolic function of the left ventricle in exercising dogs. Circulation. 1994;89:2361-2368. [Abstract/Free Full Text]

26. Cheng C-P, Igarashi Y, Little WC. Mechanism of augmented rate of left ventricular filling during exercise. Circ Res. 1992;70:9-19.

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28. Bers DM. Excitation-Contraction Coupling and Cardiac Contractile Force. Norwell, Mass: Kluwer Academic Publishers; 1991:155-158, 167-170.

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30. Sasaki T, Inui M, Kimura Y, Kuzuya T, Tada M. Molecular mechanism of regulation of Ca2+ pump ATPase by phospholamban in cardiac sarcoplasmic reticulum. J Biol Chem. 1992;267:1674-1679. [Abstract/Free Full Text]

31. Okazaki O, Suda N, Hongo K, Konishi M, Kurihara S. Modulation of the Ca2+ transients and contractile properties by ß-adrenoceptor stimulation in ferret ventricular muscles. J Physiol. 1990;423:221-240. [Abstract/Free Full Text]

32. Eising GP, Hammond HK, Helmer GA, Gilpin E, Ross J Jr. Force-frequency relations during heart failure in the pig. Am J Physiol. 1994;267:H2516-H2522.[Abstract/Free Full Text]

33. Bristow MR, Ginsburg R, Minobe W, Cubicciotti RS, Sageman WS, Lurie K, Billinghan ME, Harrison DC, Stinson EB. Decreased catecholamine sensitivity and ß-adrenergic-receptor density in failing human hearts. N Engl J Med. 1982;307:205-211. [Abstract]

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