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Circulation. 1995;91:176-185

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(Circulation. 1995;91:176-185.)
© 1995 American Heart Association, Inc.

Effect of Tachycardia Heart Failure on the Restitution of Left Ventricular Function in Closed-Chest Dogs

Sumanth D. Prabhu, MD; Gregory L. Freeman, MD

From the Department of Medicine, University of Texas Health Science Center at San Antonio, and Audie Murphy Memorial Veterans Hospital, San Antonio, Tex.

Correspondence to Sumanth D. Prabhu, MD, Department of Medicine/Cardiology, University of Texas Health Science Center, 7703 Floyd Curl Dr, San Antonio, TX 78284-7872.


*    Abstract
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*Abstract
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down arrowMethods
down arrowResults
down arrowDiscussion
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Background Cardiac mechanical restitution and relaxation restitution are thought to be physiological correlates of the recovery kinetics of Ca2+ release mechanisms and sequestration capacity of the sarcoplasmic reticulum (SR). Since congestive heart failure is characterized by abnormal intracellular Ca2+ handling, we sought to delineate changes in mechanical and relaxation restitution produced by heart failure.

Methods and Results Six dogs instrumented with left ventricular (LV) micromanometers and piezoelectric dimension crystals were studied under control conditions and after tachycardia heart failure (THF) produced by rapid LV pacing for 3 to 4 weeks. After priming at a basic cycle length of 375 ms, test pulses were delivered at graded extrasystolic intervals (ESIs). Mechanical response was assessed from single-beat elastance. Relaxation was assessed from the time constant of isovolumic relaxation (tau), the average rate of pressure fall during isovolumic relaxation (Ravg), and peak negative dP/dt, the first derivative of LV pressure. Normalized mechanical and relaxation responses plotted against ESI produced monoexponential curves of mechanical and relaxation restitution. THF depressed baseline contractile and relaxation parameters compared with control (end-systolic elastance, 4.7±0.4 versus 7.1±0.5 mm Hg/mL, P<.005; tau, 34.8±2.2 versus 26.7±1.2 ms, P<.05; all values mean±SEM). THF slowed mechanical restitution and delayed development of peak contractile response, with the time constant of mechanical restitution increasing from 61.8±6.9 to 100.2±9.6 ms, P<.01. THF abolished the biphasic behavior of relaxation restitution, and this relation was approximated by a single monoexponential function. There was no difference in the time constants of the first phase of relaxation restitution at control and after THF (TCR1, normalized 1/Ravg, 44.3±5.6 versus 42.0±8.5 ms, P=NS; TCR1, normalized (dP/dtmin)-1, 42.2±6.3 versus 36.7±4.3 ms, P=NS).

Conclusions These results indicate that THF alters the recovery kinetics of SR Ca2+ release to a significantly greater extent than those of SR Ca2+ sequestration and that the abnormal time course of Ca2+ availability to the myofilaments is the rate-limiting step in the recovery of cardiac function after a depolarization.


Key Words: mechanics • calcium • myocardial contraction • heart failure


*    Introduction
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up arrowAbstract
*Introduction
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down arrowResults
down arrowDiscussion
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Congestive heart failure (CHF) is marked by multiple structural and functional derangements of the myocardium. Many investigators have suggested that altered intracellular Ca2+ handling plays an important role in producing the myocardial functional abnormalities in CHF.1 2 3 4 5 6 Such abnormal Ca2+ handling could occur in any one of several sites, including the sarcolemma, the sarcoplasmic reticulum (SR), and the contractile apparatus. Studies of myocardium from humans with CHF and from animals modeled to have heart failure have demonstrated associated alterations of SR function. Myocardial calcium transients (dependent in part on SR function) measured with aequorin or fura-2 are consistently prolonged in heart failure.1 2 3 4 5 6 Human studies have reported higher end-diastolic levels of intracellular Ca2+ (Ca2+i)1 2 3 4 5 and either normal1 2 or decreased5 peak Ca2+i levels. Studies of gene expression7 have revealed that the mRNA for both the SR Ca2+ release channel and Ca2+ ATPase pump is reduced in heart failure and that the greatest reduction occurs in advanced disease.

Mechanical restitution and relaxation restitution of cardiac muscle are the time-dependent processes by which the capacity to contract and the ability to relax return after a stimulation. Mechanical restitution can be described by a monoexponential function relating mechanical response to the extrasystolic interval (ESI)8 and has been described in intact animals9 10 as well as isolated hearts11 12 and isolated muscle preparations.13 14 Wier and Yue14 have shown that the contractile response generated has a linear correlation with intracellular Ca2+ concentration, with a central role for Ca2+ handling by the SR in restoring contractile performance.

Analogous to the restitution of generated force, the ability of the myocardium to relax also recovers in an exponential fashion after a stimulus. We have previously shown15 that relaxation restitution proceeds in two phases: an initial recovery of relaxation occurring from small ESIs until the basic cycle length and a late slowing of relaxation occurring with ESIs greater than the basic cycle length. Each phase can be described by a monoexponential function with a specific time constant of restitution. The time constant of the first phase is generally smaller than the time constant of the second phase, indicating faster initial restitution. Since dissociation of Ca2+ from troponin C, myocardial cross-bridge separation, and sarcomere force decay are dependent on active Ca2+ uptake by the SR,16 17 it follows that this organelle also plays a major role in determining the kinetics of the first phase of relaxation restitution. The late slowing of relaxation is probably not an expression of SR function but may be secondary to loading effects on relaxation evident at long cycle lengths.15

Thus, mechanical restitution and early relaxation restitution are macroscopic measures of cardiac calcium handling and may reflect physiological correlates of SR function. Since alterations of SR function may play a prominent role in the production of Ca2+ handling abnormalities in heart failure, the purpose of this study was to define changes in mechanical and relaxation restitution after the production of heart failure in dogs by prolonged rapid ventricular pacing. Tachycardia heart failure (THF) has been produced in several species, including pigs,18 dogs,19 20 and rabbits21 ; it has hemodynamic, neurohumoral, and biochemical abnormalities identical to clinical systolic heart failure.20 Our results indicate that THF significantly slows mechanical restitution without affecting early relaxation restitution, despite marked depression of baseline contractile and relaxation parameters. Additionally, THF significantly attenuated or abolished the late phase of relaxation restitution, despite similar changes in total load occurring in beats with long ESIs compared with those at the baseline cycle length.


*    Methods
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*Methods
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All animal studies were performed in accordance with guidelines described in the NIH Guide for the Care and Use of Laboratory Animals (DHHS publication No. [NIH] 85-23, revised 1985). Six healthy mongrel dogs of either sex were surgically instrumented for long-term physiological monitoring as previously described by this laboratory.22 23 After premedication with xylazine and induction with pentobarbital, endotracheal intubation was performed under 1% to 2% halothane general anesthesia. Under sterile conditions, a left thoracotomy was performed. Fluid-filled polyvinyl 16-gauge catheters were placed in the descending aorta and the left atrium. A high-fidelity micromanometer (Konigsberg Instruments, Inc) and a fluid-filled catheter for micromanometer calibration were implanted across the left ventricular (LV) apex. Three sets of piezoelectric crystals were implanted in the LV endocardium along the anterior-posterior (DAP), septal-lateral (DSL), and long-axis (DLA) diameters. Pacing electrodes were sutured to the epicardium of the left atrium and left ventricle. Balloon occluder cuffs were placed around the inferior vena cava. After the chest was closed in multiple layers, all wires and tubes were tunneled subcutaneously to exit from the back of the neck. The animals were allowed to recover a minimum of 2 weeks before experimentation.

All experiments were performed with the animal lying in a sling on its right side. The dogs were anesthetized with a combination of thiopental sodium (25 to 30 mg/kg), droperidol (1.5 to 3.0 mg/kg), and fentanyl (0.03 to 0.06 mg/kg). Once anesthetized, the animals were intubated and mechanically ventilated with room air. Autonomic blockade was produced by the administration of intravenous atropine (2 mg) and hexamethonium (20 to 25 mg/kg). All hemodynamic data were collected during 10- to 15-second periods of posthyperventilation apnea to avoid the effects of respiration on the measured parameters. Analog tracings were recorded on an 8-channel forced ink oscillograph (Beckman Instruments Inc). The following signals were recorded: LV pressure (P), the first derivative of the LVP with respect to time (dP/dt), ECG, aortic pressure, and the three LV dimensions. These signals were simultaneously digitized at a sampling rate of 500 Hz with an IBM PC.

For the restitution protocols, the atria were paced at a basic cycle length of 375 ms (160 beats per minute). After a hemodynamic steady state was achieved, data were collected at baseline and during rapid caval occlusions to acutely alter LVP and volumes. Runs that did not display at least a 20 mm Hg drop in peak systolic LVP were discarded. After caval occlusions were performed, mechanical and relaxation restitution were assessed. After an initial series of beats at the basic cycle length, a single test atrial extrastimulus was introduced with a programmable stimulator (Bloom Instruments). The first ESI was timed to be within the absolute refractory period of the AV node. The ESI was then increased at 20-ms intervals, resulting in beats with progressively increasing cycle length. The process was terminated when an intrinsic sinus beat captured the ventricle before the paced beat.

The animals were allowed to recover from the initial experiments for 2 days. At this point, rapid ventricular pacing was instituted at a heart rate of 210 beats per minute for 2 to 3 weeks and 240 beats per minute for 1 to 2 more weeks. Hemodynamic measurements were performed at weekly intervals. When there was clear LV chamber dilatation and hemodynamic evidence for heart failure, the restitution protocol was repeated. After completion of the full study, the animals were killed humanely by lethal injection under general anesthesia.

Data Analysis
The digitized data were analyzed by use of computer software developed in our laboratory. The LV chamber was assumed to be an ellipse, and LV volume (VLV) was calculated from the three orthogonal dimensions by the equation


For the caval occlusion runs, end systole was defined as occurring at the upper left corner of the LVP-volume loop, and the end-systolic pressure-volume (Pes-Ves) relation was determined by the iterative approach of Kono et al.24 The data were fitted to the equation


by least-squares linear regression technique, where Ees is the slope of the relation, and V0 is its volume intercept.

For the mechanical restitution experiments, end systole was considered to occur at the point of maximal time-varying elastance (Emax) for the beat, as previously described by Sagawa et al (see Reference 25 for review). This was defined as the maximal ratio of LVP to corrected LV volume (the absolute volume minus V0 determined from the caval occlusions). End diastole was defined as occurring at the peak of the QRS complex. For purposes of analysis, dP/dt was calculated from the instantaneous LVP by use of a running five-point linear fit. The period of isovolumic relaxation was defined as occurring between the time of peak negative dP/dt and the time when pressure had fallen to 5 mm Hg above the end-diastolic pressure for that beat. The time constant of LV relaxation, {tau}, was determined by nonlinear regression analysis of the pressure and time data during isovolumic relaxation by use of a monoexponential function of the form


where P0 (mm Hg) is an estimate of the pressure at peak negative dP/dt, t is the time (ms), {tau} is the time constant of relaxation (ms), and Pb (mm Hg) is the floating pressure asymptote as t approaches infinity. The computer algorithm used the method described by Hartley.26 The average rate of pressure fall during isovolumic relaxation, Ravg (mm Hg/ms), was defined as the total pressure fall during this period divided by its duration in milliseconds.15 27

To evaluate systolic and diastolic restitution, the following parameters were used. We have previously shown15 that relaxation restitution can be accurately defined by use of the inverse of Ravg or the inverse of dP/dtmin, both model-independent relaxation parameters, in an equivalent manner to analysis using {tau}. These model-independent parameters were used to define relaxation restitution (see below). Emax for each beat (single-beat elastance, SBE) was determined as described above and used as a measure of contractile response. For mechanical restitution analyses, calculated SBE was normalized to the peak absolute SBE achieved for each restitution curve and expressed as a percentage. For relaxation restitution analyses, the relaxation parameter (ie, inverse of Ravg or inverse of dP/dtmin) calculated for the extrasystolic beat was normalized to the value from the control beat immediately preceding the extrasystole and expressed as a percentage.

Mechanical restitution was described by an elastance-based construct10 15 and fitted to the monoexponential function


where SBEn is normalized SBE, CRmax is the maximal (plateau) value of contractile response, ESI0 is the smallest ESI that produces a mechanical response ("initial" ESI), and TCM is the time constant of mechanical restitution. Relaxation restitution was described by two monoexponential functions corresponding to the early and late phases of restitution.15 The early-phase data (up to the basic cycle length) were fitted to the equation


where Rn is the normalized relaxation parameter of interest, ESI0 is the smallest ESI that produces a mechanical response ("initial" ESI), K0 is an estimate of Rn at ESI0, Ka is the plateau asymptote during the first phase of restitution, and TCR1 is the time constant of the first phase of relaxation restitution. When possible, the late-phase data were fitted to the equation


where Kb is the plateau, or asymptote, and TCR2 is the time constant of the second phase of relaxation restitution. All monoexponential function analyses and time constant derivations were performed according to standard nonlinear techniques.

To evaluate the effect of load during the second phase of relaxation restitution, wall stress ({varsigma}) was estimated for onset of ejection (OEJ) and end ejection (EEJ) at the basic cycle length (375 ms) and at an arbitrarily chosen ESI of 500 ms before and after THF. OEJ was considered to occur at the upper right corner of the pressure-volume loop and EEJ at end systole. For the purposes of these approximations, the LV was assumed to be spherical, and {varsigma} was estimated by use of the Laplace relation,


where R is DAP/2 and H is the LV wall thickness. H at OEJ, 375 ms before THF, was considered to be one arbitrary unit. Given that the myocardium is incompressible, H was calculated for the other time points before THF by the principle of conservation of LV wall volume (WVLV). WVLV was determined in the following manner:


where Ri is the radius to the endocardium (DAP/2 or chamber radius). Keeping WVLV constant and assuming H at OEJ, 375 ms, to be 1, relative wall thickness was calculated for the other time points before THF. Since studies of THF in the canine model have revealed that there is no change in LV mass after THF,19 relative wall thickness for each time point after THF was also calculated by use of the principle of conservation of LV wall volume. Relative wall stress for each animal was subsequently calculated; values for {varsigma} at OEJ and EEJ with an ESI of 500 ms were normalized to {varsigma} at OEJ and EEJ with an ESI of 375 ms for each experimental condition and expressed as a percentage.

Statistical Analysis
Comparisons between hemodynamic parameters, relative changes in wall stress, and restitution time constants before and after the development of heart failure were made with the paired t test. A value of P<.05 was considered significant. All group data are expressed as the mean±SEM.


*    Results
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up arrowIntroduction
up arrowMethods
*Results
down arrowDiscussion
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Hemodynamic Effects of Prolonged Rapid Ventricular Pacing
Analog tracings from a representative animal before and after the production of THF are shown in Fig 1Down. Beats with identical ESIs are shown under both conditions. After prolonged ventricular pacing, there is a reduction of LVP and dP/dtmax and increases in the AP, SL, and LA dimensions, indicating chamber dilation. There is no respiratory variation in the recorded parameters. Table 1Down summarizes group hemodynamic and relaxation data under control conditions and after THF (mean±SEM). To control for the influence of variable heart rate, {tau}, Ravg, dP/dtmin, and Ees were recorded after autonomic blockade with atropine and hexamethonium and with atrial pacing at a cycle length of 375 ms. The remaining variables were recorded during baseline conditions without autonomic blockade or atrial pacing. THF produced significant reductions in parameters of contractility (dP/dtmax, 1684±77 versus 2726±188 mm Hg/s, P<.01; Ees, 4.7±0.4 versus 7.1±0.5 mm Hg/mL, P<.005), significant increases in LV filling pressure and chamber size (EDP, 18±2 versus 8±1 mm Hg, P<.005; EDV, 62±8 versus 46±6 mL, P<.005), and significant prolongation of relaxation ({tau}, 34.8±2.2 versus 26.7±1.2 ms, P<.05; Ravg, 0.937±0.037 versus 1.174±0.074 mm Hg/ms, P<.05; dP/dtmin, -1449±85 versus -2113±137 mm Hg/s, P<.01). The hemodynamic and geometric changes are consistent with the production of dilated cardiomyopathy.



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Figure 1. Analog tracings from a representative animal at two extrasystolic intervals after a series of beats at a rate of 160 beats per minute before and after tachycardia heart failure (THF). LV indicates left ventricular; dP/dt, first derivative of LV pressure; AP, anterior-posterior; SL, septal-lateral; and LA, long axis.


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Table 1. Baseline Hemodynamics Before and After Heart Failure

Effect of THF on Mechanical Restitution
Fig 2Down shows the mechanical restitution curves from a representative animal under control conditions and after THF. Fig 2ADown relates absolute SBE to the ESI under each condition. The reduction of peak contractile response after THF production is evident. In Fig 2BDown, the restitution curves from the same animal have been normalized to the peak response generated under each experimental condition. THF produces significant slowing of mechanical restitution, with the time constant increasing from 46.8 to 88.1 ms. Because of slower restitution kinetics in THF, achievement of maximal contractile response is shifted to the right, with significantly less percentage recovery of mechanical function at the basic cycle length of 375 ms. Fig 3Down shows group data for the relation between normalized elastance and ESI before and after THF. Mean responses (±SEM) are shown; error bars for many data points were very small relative to the axis scales used and consequently may not be seen. Group behavior was identical to that shown in Fig 2BDown, with heart failure producing significant slowing of mechanical restitution and delayed recovery of peak contractile response. Table 2Down lists the TCM for each animal under control conditions and after THF. Heart failure consistently resulted in slowing of mechanical restitution in each animal, producing a significant increase in mean TCM (100.2±9.6 versus 61.8±6.9 ms at control, P<.01).



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Figure 2. Mechanical restitution curves from a representative animal under control conditions and after the production of tachycardia heart failure (THF). A, Absolute single-beat elastance (SBE) is plotted as a function of extrasystolic interval (ESI). There is a reduction in peak mechanical response after THF. B, SBE normalized to maximal SBE achieved is plotted as a function of ESI. Note that THF slows mechanical restitution and delays development of maximal contractile response. TC indicates time constant, ms.



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Figure 3. Mechanical restitution curves derived from group data before and after tachycardia heart failure (THF) (mean ±SEM). THF had effects on group mechanical restitution similar to those in Fig 2Up, slowing restitution and delaying achievement of peak response. The time constant (TC, ms) after THF is significantly larger. SBE indicates single-beat elastance; ESI, extrasystolic interval.


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Table 2. Time Constants of Mechanical Restitution Before and After Heart Failure

Effect of THF on Relaxation Restitution
We have previously shown15 that restitution of LV relaxation can be described using either model-dependent parameters (normalized {tau}) or model-independent parameters (the inverse of either normalized Ravg or normalized dP/dtmin). Relaxation restitution is delineated similarly regardless of which parameter is used. The production of THF, however, slowed baseline relaxation as quantified by {tau}, and early extrasystolic beats (ie, beats with small ESIs) would usually display pressure decays during isovolumic relaxation that were small and linear and not well approximated by a monoexponential descriptor. As a result, use of normalized {tau} to quantify relaxation restitution yielded fewer data points with which to describe the restitution curve after THF production. This was not the case if model-independent parameters were used. Given the increased descriptive power of 1/Ravg and (dP/dtmin)-1, we used these normalized parameters to define relaxation restitution before and after THF.

Fig 4ADown displays the relation between normalized relaxation (assessed by use of 1/Ravg) and ESI under control conditions and after THF in a representative animal. Fig 4BDown shows the same relation in the same animal by use of the normalized inverse of dP/dtmin. Regardless of the parameter used, the data points are approximated by the same relation under both conditions. Relaxation restitution curves before and after THF are constructed with group data (±SEM) for both normalized relaxation parameters in Figs 5Down and 6Down. Figs 5ADown and 6ADown demonstrate relaxation restitution under control conditions using normalized 1/Ravg and normalized (dP/dtmin)-1, respectively. As we have described previously,15 relaxation restitution occurs in two phases described by two concatenated monoexponential curves with a breakpoint near the basic cycle length. The early phase exhibits faster kinetics (TCR1, 1/Ravg=45.1 ms; TCR1, (dP/dtmin)-1=45.6 ms) than the slower late phase (TCR2, 1/Ravg=58.4 ms; TCR2, (dP/dtmin)-1=76.7 ms). Figs 5BDown and 6BDown show group data for relaxation restitution after the production of THF. Regardless of parameter used, the data are best described by a single monoexponential function with a time constant that is virtually the same as TCR1 under control conditions (TCR, 1/Ravg=42.6 ms; TCR, (dP/dtmin)-1=47.2 ms). There is no discernible late phase of relaxation restitution.



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Figure 4. Relaxation restitution curves from a representative animal under control conditions and after tachycardia heart failure (THF). A, Relaxation is quantified by use of the inverse of the average rate of pressure fall during isovolumic relaxation, Ravg, normalized to the preceding control beat. B, Relaxation is quantified by use of the inverse of dP/dtmin, normalized to the preceding control beat. Regardless of the parameter used, the data points appear to fall along the same relation before and after THF. dP/dt indicates first derivative of left ventricular pressure; ESI, extrasystolic interval.



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Figure 5. Group data for relaxation restitution under control conditions (A) and after tachycardia heart failure (THF) (B), assessed by use of normalized 1/Ravg. Note that under control conditions, relaxation restitution displays biphasic behavior with an initial rapid recovery of relaxation until the basic cycle length and a slow prolongation of relaxation thereafter. After THF, relaxation restitution is monophasic without prolongation of relaxation at longer cycle lengths. The time constant of early relaxation restitution (TCR1, ms) at control is nearly identical to the time constant of relaxation restitution (TCR, ms) after THF. Ravg indicates average rate of pressure fall during relaxation; ESI, extrasystolic interval; and TCR2, time constant of the second phase of relaxation restitution, ms.



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Figure 6. Group data for relaxation restitution under control conditions (A) and after tachycardia heart failure (THF) (B), assessed by use of the normalized inverse of dP/dtmin. Restitution behavior before and after THF is identical to that observed with normalized 1/Ravg in Fig 5Up. Early restitution kinetics are unchanged; the late phase disappears after THF. dP/dt indicates first derivative of left ventricular pressure; ESI, extrasystolic interval; and TC, time constant, ms.

Relaxation restitution time constants from individual dogs, along with mean values and SEMs, are presented in Tables 3Down and 4Down with normalized 1/Ravg and normalized (dP/dtmin)-1, respectively. There is no significant difference in mean TCR1 under control conditions and after the production of THF (1/Ravg, 44.3±5.6 versus 42.0±8.5 ms, P=NS; (dP/dtmin)-1, 42.2±6.3 versus 36.7±4.3 ms, P=NS). TCR2 at baseline was 55.6±7.0 ms for 1/Ravg and 61.8±9.9 ms for (dP/dtmin)-1. After THF, relaxation restitution did not consistently demonstrate biphasic behavior; consequently, TCR2 after THF is not reported. The control value for TCR2 reported here is somewhat smaller than reported in our previous study (75.94±10.65 ms) but is within the range of SEM. Thus, heart failure does not affect the kinetics of the early phase of relaxation restitution despite baseline prolongation of relaxation (see Table 1Up) and abolishes the late phase in this range of ESIs.


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Table 3. Time Constants of Relaxation Restitution Before and After Heart Failure Assessed With Normalized 1/Ravg


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Table 4. Time Constants of Relaxation Restitution Before and After Heart Failure Assessed With Normalized Inverse of dP/dtmin

To evaluate the effect of load on the second phase of relaxation restitution before and after THF, changes in wall stress occurring at long cycle lengths were assessed. Fig 7Down plots pressure-volume loops at the basic cycle length of 375 ms (solid lines) and at a longer cycle length of 500 ms (dotted lines) at control and after THF in one animal. After THF there is LV dilation, with failing hearts operating at significantly greater volumes than during control conditions. This results in increased wall stress during all parts of the cardiac cycle in THF compared with control. Lengthening the ESI in either experimental condition results in higher chamber volume and pressure at OEJ and lower chamber volume and pressure at EEJ. As a result, early systolic wall stress (contraction load) is higher and end-systolic wall stress (relaxation load) is lower for beats at an ESI of 500 ms.



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Figure 7. Pressure-volume loops from beats at the basic cycle length of 375 ms (solid lines) and a longer cycle length of 500 ms (dotted lines) under control conditions and after tachycardia heart failure (THF) in a representative animal. In both cases, total load at onset of ejection is higher and total load at end ejection is lower for the longer cycle length beat. ESI indicates extrasystolic interval.

Fig 8Down shows the difference in wall stress at an ESI of 500 ms ({varsigma}500) at OEJ and EEJ compared with the same time points at an ESI of 375 ms for each experimental condition. Despite the generalized increase in absolute wall stress in THF, there is no difference in test pulse interval–induced percent changes in contraction load (8.7±2.4% versus 9.1±3.1%, P=NS) and relaxation load (-2.3±1.3% versus -1.5±1.2%, P=NS) for the longer ESI before and after THF. Thus, after THF there is attenuation or disappearance of the second phase of relaxation restitution despite similar relative changes in load during this portion of the curve.



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Figure 8. Bar graph showing group changes in wall stress occurring with beats at an extrasystolic interval (ESI) of 500 ms ({varsigma}500) compared with beats at an ESI of 375 ms (the basic cycle length) before and after tachycardia heart failure (THF). The mean±SEM increase in {varsigma}500 at onset of ejection (OEJ, contraction load) and the mean±SEM decrease in {varsigma}500 at end ejection (EEJ, relaxation load) compared with {varsigma}375 at the same time points are shown. There is no significant difference in changes in contraction and relaxation load at a cycle length of 500 ms relative to the basic cycle length before and after THF.


*    Discussion
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up arrowAbstract
up arrowIntroduction
up arrowMethods
up arrowResults
*Discussion
down arrowReferences
 
The results of these studies demonstrate that despite generalized depression of both systolic and diastolic performance, THF produces differential effects on systolic mechanical and relaxation restitution of the intact canine heart. THF selectively slows the kinetics of mechanical restitution without affecting those of early relaxation restitution. THF also significantly attenuates or abolishes the late phase of relaxation restitution, despite similar changes in load during this phase compared with control. From these findings, it can be inferred that THF alters the recovery kinetics of SR Ca2+ release to a significantly greater extent than those of SR Ca2+ sequestration and that the abnormal time course of Ca2+ availability to the myofilaments is the rate-limiting step in the time-dependent recovery of cardiac function after depolarization.

Studies by Yue et al12 and Wier and Yue14 have shown that mechanical restitution and postextrasystolic potentiation can be described by monoexponential functions with a common time constant. Their studies with ryanodine and aequorin have established that the amount and time course of SR Ca2+ release to the myoplasm is the major determinant of mechanical restitution. On the basis of these studies, these investigators proposed a model of SR Ca2+ handling (Fig 9Down) to explain mechanical restitution. The SR is composed of a Ca2+ uptake pool and release pool. Ca2+ uptake occurs mainly during the Ca2+ transient (predominantly from internally released stores and a smaller amount from transsarcolemmal flux), and sequestered Ca2+ is only gradually available for release for the subsequent beat. The time course of availability of releasable Ca2+ is responsible for mechanical restitution kinetics. The mechanism of this gradual return of releasable Ca2+ can be secondary to either time-dependent transfer (K2) between distinct uptake and release pools or time-dependent recovery of the SR Ca2+ release channel from a closed to an open state. The latter mechanism has more experimental support, given that (1) ultrastructural studies have not demonstrated anatomic membrane boundaries within the SR,28 (2) transfer of sequestered Ca2+ to the release pool by diffusion should occur rapidly (on the order of a few milliseconds29 ), and (3) recovery of SR Ca2+ release channel activity has a time constant (700 to 800 ms30 ) similar to the TCM reported in ferret papillary muscles by Wier and Yue.14 Thus, as suggested by Bers,29 recovery of the SR Ca2+ release channel may be the cellular mechanism governing mechanical restitution.



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Figure 9. Illustration of the compartmental model of Ca2+ transport proposed by Wier and Yue.14 The sarcoplasmic reticulum contains a Ca2+ uptake pool (U) and Ca2+ release pool (R). Ca2+ transport occurs between these pools and the sarcoplasm (S) at specific periods of the cardiac cycle and can be modeled as monoexponential functions with specific time constants (K1, K2, K3).

This model also provides a conceptual basis for predicting early relaxation restitution behavior.15 The major determinant of myocardial relaxation is the active reuptake of Ca2+ by the SR.17 Direct studies of SR have revealed that SR Ca2+ sequestration capacity is not unlimited but rather displays saturation to a steady-state level.31 This plateau level is achieved within 200 ms of initiation,32 at which time internal binding sites are saturated, raising free intraluminal Ca2+ and inhibiting further uptake. This time course would suggest that at the basic cycle length of 375 ms, SR Ca2+ uptake is near the saturation plateau. With short ESIs, less Ca2+ is released from the SR and more Ca2+ remains bound to intraluminal sites. As a result, SR Ca2+ sequestration operates at a point closer to the saturation plateau, and Ca2+ uptake rates are slower. This would be reflected mechanically as slower rates of relaxation. With prolongation of the ESI, SR uptake rates would normalize incrementally to the level of the basic cycle length; the time course of this normalization is delineated by the relaxation restitution curve. Thus, mechanical and early relaxation restitution are direct reflections of SR behavior that result primarily from recovery of SR Ca2+ release channel function and SR Ca2+ uptake capacity, respectively.

Since beat-to-beat Ca2+ handling is the result of interdependent functions of the SR integrated in a closed loop, it is intriguing that THF produces divergent effects on mechanical and early relaxation restitution kinetics. As seen in Figs 2Up and 3Up and Table 2Up, THF slows mechanical restitution kinetics significantly. Given the cellular correlates of mechanical restitution in normal hearts, this probably reflects a reduction in SR Ca2+ release channel function. There are many lines of evidence supporting this contention, including (1) prolonged Ca2+ transients measured with aequorin in human1 2 3 4 and canine6 myopathic papillary muscle, (2) reduced peak systolic Ca2+ (measured with fura-2) in human myopathic isolated myocytes,5 and (3) reduced expression of the mRNA coding for the SR Ca2+ release channel in human heart failure.7 Given the widespread alterations of myocardial function in heart failure, however, mechanisms distal to SR Ca2+ release must also be considered. Theoretically, altered kinetics of Ca2+ binding to troponin C (ie, myofilament Ca2+ sensitivity) could affect mechanical restitution. However, since cardiac muscles from dogs with THF do not show altered myofilament Ca2+ sensitivity compared with controls,6 this mechanism is unlikely.

The effect of THF on relaxation and relaxation restitution is somewhat more complex. THF slows ventricular relaxation rates significantly over control (Table 1Up), suggesting depression of SR Ca2+ uptake mechanisms. Indeed, biochemical and functional studies have revealed (1) significant reductions in SR Ca2+ ATPase pump activity and SR Ca2+ transport in the canine THF model,20 (2) a 50% reduction of SR Ca2+ uptake in homogenates of cardiac biopsies from humans with dilated cardiomyopathy,33 and (3) reduced expression of the mRNA coding for the SR Ca2+ ATPase pump7 34 and the SR Ca2+ pump regulatory protein phospholamban7 in human heart failure.

Despite the prolongation of baseline relaxation, the kinetics of early relaxation restitution remained unchanged after THF (Figs 4 through 6UpUpUp, Tables 3Up and 4Up). This apparent discrepancy can be explained by the model in Fig 9Up. As described above, the restitution of relaxation depends on the degree of availability of SR internal binding sites for Ca2+ (ie, degree of saturation of the SR). The maintenance of early relaxation restitution despite prolonged baseline relaxation would suggest that despite slower Ca2+ uptake, the level of internal Ca2+ site saturation achieved and recovery of intraluminal Ca2+ binding capacity are unchanged after THF. This would require unaltered transfer kinetics between the uptake and release pools (K2) as well as maintenance of SR intraluminal Ca2+ binding proteins in THF. Consistent with this last hypothesis, Takahashi et al35 found no change in the expression of mRNA coding for calsequestrin (the protein that determines SR Ca2+ storage capacity) in human heart failure. Thus, our results would indicate that although both SR Ca2+ release and uptake mechanisms are depressed in THF, recovery of Ca2+ release channel function is the rate-limiting step in the restitution of cardiac function after a depolarization.

The production of THF also led to disappearance of the second phase of relaxation restitution (Figs 4 through 6UpUpUp), and the underlying mechanisms for this are much less clear. In our previous study,15 we postulated that the prolongation of relaxation seen at ESIs greater than the basic cycle length was due to loading effects on relaxation. As illustrated in Fig 7Up, beats following long cycle lengths tend to have higher wall stress at OEJ (higher contraction load) and lower wall stress at EEJ (lower relaxation load) both before and after THF. Both of these effects serve to slow ventricular relaxation rates.36 However, as shown in Fig 8Up, the increases in contraction load and decreases in relaxation load that result from longer cycle lengths are similar before and after THF. Given that data from other investigators have shown increased load sensitivity of relaxation in heart failure,37 38 an accentuation of the second phase would be expected if load were the sole determinant of this portion of the curve. Clearly, other factors are at play in heart failure that attenuate this late phase of relaxation restitution. The nature of these mechanisms is unclear; possibly, Ca2+ transport systems with slower operating kinetics (eg, sarcolemmal Ca2+ flux pathways) play a more prominent role in heart failure, affecting the second phase. Further studies are required to clarify these mechanisms in THF.

Our experimental results must be evaluated in light of possible sources of error. To determine SBE for extrasystolic beats, we used the volume intercept (V0) determined at the basic cycle length. Although steady-state increases in heart rate change V0, the effect of changes in ventricular volume on end-systolic pressure occur over several beats.39 This effect would be minimal in the transient alteration of pacing interval used to produce test beats at different ESIs. Given this and the fact that it would not be possible to perform caval occlusion at each ESI used, a common V0 was used.10 15 Second, as in many prior studies, our analysis assumes the Pes-Ves relation to be linear. In the intact animal model used in our study, Little et al40 showed a slight but consistent curvilinearity of the Pes-Ves relation, with concavity toward the volume axis regardless of inotropic state. Since similar degrees of nonlinearity are present under each condition, the use of a linear model may introduce a small and consistent quantitative error and should not significantly affect our analysis or restitution kinetics.

It must be emphasized that this is a mechanical study, which allows discussion of a phenomenological model: we did not directly measure SR Ca2+ flux or intracellular Ca2+ transients. Importantly, however, measurement of mechanical and relaxation restitution provides a convenient window on SR function while maintaining an intact physiological (or pathophysiological) state. Study of the intact animal in this manner can reflect insights that may not be evident in isolated myocyte or papillary muscle studies of Ca2+ handling. Additionally, the kinetics of force-interval behavior are much slower in isolated hearts than intact hearts10 and even slower in isolated muscles.14 Thus, the ability to study the kinetics of mechanical performance before and after development of THF in the same animal provides a unique opportunity to target and interpret studies at the cellular and biochemical level. Finally, Ca2+ transients measured by aequorin or fura-2 recover well before the corresponding mechanical events,1 2 3 4 5 6 suggesting that direct measurement of Ca2+ fluxes during portions of the cardiac cycle critical to the processes we describe may not be currently possible.

In summary, our results demonstrate that heart failure produced by rapid ventricular pacing selectively prolongs the time course of mechanical restitution without affecting the kinetics of the early phase of relaxation restitution in the intact canine heart. This occurs despite baseline depression of both contractile and relaxation parameters. THF was also associated with attenuation of the late phase of relaxation restitution, despite similar changes in load during this portion of the curve. The data suggest that after the development of THF, the principal defect in restoration of activator Ca2+ and recovery of cardiac performance after a stimulation is at the level of the SR Ca2+ release channel.


*    Acknowledgments
 
This work was supported by the Research Service of the Department of Veterans Affairs, Grants-in-Aid from the American Heart Association and its Texas Affiliate, and the Fraternal Order of the Eagles. Dr Freeman was supported by an Established Investigatorship of the American Heart Association. The authors gratefully acknowledge the excellent technical assistance of Danny Escobedo and Cindy Ramirez and the statistical consultation of John Schoolfield.

Received May 12, 1994; accepted July 31, 1994.


*    References
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*References
 

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