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Department of Medicine, University of Texas Health Science Center at San Antonio, and South Texas Veterans Health Care System-Audie Murphy Division, San Antonio, Texas 78284
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ABSTRACT |
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To test
the hypothesis that alterations in left ventricular (LV)
mechanoenergetics and the LV inotropic response to afterload manifest
early in the evolution of heart failure, we examined six anesthetized
dogs instrumented with LV micromanometers, piezoelectric crystals, and
coronary sinus catheters before and after 24 h of rapid ventricular
pacing (RVP). After autonomic blockade, the end-systolic
pressure-volume relation (ESPVR), myocardial O2 consumption (M
O2), and LV
pressure-volume area (PVA) were defined at several different afterloads
produced by graded infusions of phenylephrine. Short-term RVP resulted
in reduced preload with proportionate reductions in stroke work and the
maximum first derivative of LV pressure but with no significant
reduction in baseline LV contractile state. In response to increased
afterload, the baseline ESPVR shifted to the left with maintained
end-systolic elastance (Ees). In contrast, after
short-term RVP, in response to comparable increases in afterload, the
ESPVR displayed reduced Ees (P < 0.05)
and significantly less leftward shift compared with control (P < 0.05). Compared with the control
M
O2-PVA relation,
short-term RVP significantly increased the
M
O2 intercept (P < 0.05) with no change in slope. These results indicate that
short-term RVP produces attenuation of afterload-induced enhancement of
LV performance and increases energy consumption for nonmechanical
processes with maintenance of contractile efficiency, suggesting that
early in the development of tachycardia heart failure, there is
blunting of length-dependent activation and increased O2
requirements for excitation-contraction coupling, basal metabolism, or
both. Rather than being adaptive mechanisms, these abnormalities may be
primary defects involved in the progression of the heart failure phenotype.
ventricular function; myocardial energetics; length-dependent activation; dog; pacing
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INTRODUCTION |
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WHEN RAPID TACHYCARDIA persists for several weeks, a dilated cardiomyopathy results with functional, hemodynamic, and neurohormonal changes closely resembling human heart failure (see Ref. 35 for review). This model is commonly used in animal studies to evaluate pathophysiological processes in the failing heart, although its exact pathogenesis remains unclear. At the chamber level, prior studies have reported that reduced left ventricular (LV) pump function in tachycardia heart failure is characterized by several distinct abnormalities, including a decreased capacity to increase contractile performance in response to increased preload, i.e., attenuation of the Frank-Starling mechanism (18), and disturbances in mechanoenergetics (39). Whether these factors are primary defects contributing to the development and progression of the heart failure phenotype or whether they are adaptive responses to more fundamental abnormalities remains unclear. Moreover, data regarding the temporal relationship of these derangements to overt ventricular mechanical dysfunction are few, although such information can yield important mechanistic insights.
In the canine model, the pressure-volume (P-V) plane provides a
comprehensive assessment of LV inotropic and energetic reserve while
maintaining an intact physiological state. Specifically, the
end-systolic pressure-volume relation (ESPVR) and other related derived
mechanical constructs are convenient windows on LV contractile performance (10, 22, 32). Additionally, steady-state increases in
either preload (21, 38) or afterload (8) increase LV volume and induce
concomitant increases in LV contractility. This phenomenon is
postulated to be a manifestation of length-dependent activation (8, 21,
38), a primary determinant of the Frank-Starling mechanism (5).
Finally, simultaneous measurement of myocardial O2
consumption (M
O2) and LV
pressure-volume area (PVA) provides an assessment of contractile
efficiency and M
O2 for
nonmechanical processes (26, 29, 36).
Accordingly, the purpose of this investigation was to examine the following parameters before and after a 24-h period of rapid ventricular pacing (RVP) in the intact dog: 1) the LV inotropic response to steady-state changes in afterload and 2) LV mechanoenergetic performance. The central hypothesis was that alterations in these fundamental mechanical parameters would manifest even at this early time point in the development of pacing-tachycardia cardiomyopathy before the establishment of overt heart failure, suggesting, at the chamber level, a central mechanistic role for these factors in the progression of the heart failure phenotype.
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METHODS |
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Surgical instrumentation. All animal studies were performed in accordance with the National Research Council's Guide for the Care and Use of Laboratory Animals (Revised 1996). Under 1-2% isoflurane general anesthesia, six mongrel dogs of either sex underwent left thoracotomy and surgical instrumentation for long-term monitoring as previously described (29, 30). The instrumentation consisted of 1) fluid-filled catheters in the descending aorta, left atrium (LA), and LV apex; 2) a high-fidelity micromanometer (Konigsberg Instruments) in the LV apex; 3) three sets of piezoelectric crystals (5-mm diameter, 5-MHz frequency) along the anterior-posterior (DAP), septal-lateral (DSL), and long-axis endocardial diameters (DLA); 4) pacing wires sutured to the LA and LV epicardium; 5) balloon occluder cuffs around the inferior vena cavae; and 6) Doppler flow probes (Division of Cardiovascular Sciences, Baylor College of Medicine, Houston, TX), 2.0-3.5 mm in size, around the proximal left circumflex (LCX) and left anterior descending (LAD) arteries. The animals recovered a minimum of 2 wk before experimentation.
Experimental protocol. On the day of the experiment, the dogs were anesthetized with a combination of thiopental sodium (25-30 mg/kg), droperidol (1.5-3.0 mg/kg), and fentanyl (0.03-0.06 mg/kg) and were mechanically ventilated with 100% O2. An external jugular venotomy was performed using sterile technique. Under fluoroscopic guidance, a modified multipurpose coronary catheter was placed via the jugular vein into the coronary sinus (CS). Heparin (5,000 units) was given systemically to minimize thrombus formation, and the catheter was flushed with heparinized saline at regular intervals. The following parameters were recorded on an eight-channel forced-ink oscillograph (Beckman Instruments) and simultaneously digitized at a sampling rate of 500 Hz: LV pressure (P), the first derivative of LVP (dP/dt), an electrocardiogram (ECG), LCX and LAD coronary flow, and the three LV dimensions. Hemodynamic data were collected during 10-s periods of apnea (to avoid respiratory effects on measured parameters) during two general conditions: steady state and caval occlusion. Arterial and CS blood sampling to determine O2 saturation were performed immediately before each steady-state run during normal mechanical ventilation. O2 saturation was measured using either a StatPal analysis system (SenDx Medical) or an AVOXimeter 1000E (A-VOX Systems).
After baseline hemodynamics and blood O2 saturations were measured, intravenous atropine (2 mg) and hexamethonium (20-25 mg/kg) were administered to produce autonomic blockade and minimize reflex effects. After a 15-min stabilization period, data were collected at steady state and during rapid caval occlusion to produce variably loaded beats and define the ESPVR. LV afterload was then increased incrementally by graded infusions of phenylephrine (dose range 1-4 µg · kg
1 · min
1)
in three to four steps. After 10 min of stabilization at each dose,
steady-state and caval occlusion measurements were repeated. Phenylephrine was subsequently discontinued, and data were reacquired after 15 min of stabilization. The oximetric catheter was then removed,
the venotomy was repaired, and the skin was closed using surgical staples.
After animals had at least 2 days of recovery from the initial
experiments, RVP was instituted at a heart rate of 210 beats/min for 24 h using customized pacemakers described previously (9). The pacemaker
was then turned off for at least 30 min, and the entire experimental
protocol was repeated. After this second set of experiments was
completed, the animals were killed by lethal KCl injection following
deep anesthesia with pentobarbital (50 mg/kg). The heart and great
vessels were removed en bloc. The LCX and LAD were cannulated and
injected distal to the flow probe with indocyanine green. The left and
right ventricles were dissected and weighed individually. The stained
LV myocardium, delineating the perfused LCX and LAD territories
corresponding to measured flow, and unstained LV myocardium were
weighed separately.
Data analysis.
The digitized data were analyzed using custom-developed computer
software. Calculated dP/dt (mmHg/s) was derived from
instantaneous LVP using a running five-point Lagrangian fit. The mean
velocity of circumferential fiber shortening (VCF,
circumferences/s) was defined as the systolic excursion of
DAP (mm) divided by the ejection time (s),
normalized for end-diastolic DAP (24). LV volume
(V, ml) was calculated from the three orthogonal diameters using the equation for an ellipse
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1 · s
1)
is the slope and VD (ml) is the volume-axis intercept (22).
VW 1,000 (ml) and VD 2,000 (ml) were
defined as EDV derived at an SW of 1,000 mmHg · ml
and a dP/dtmax of 2,000 mmHg/s, respectively, again
to allow for comparisons in the physiological range.
Isovolumic relaxation was defined as occurring between the time of peak
negative dP/dt to the time when LVP fell to 5 mmHg above the
end-diastolic pressure (EDP) for that beat. The time constant of LV
relaxation (
) was determined by nonlinear regression analysis of the
pressure and time data during isovolumic relaxation using the equation
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is the time constant of
relaxation (ms), and PB (mmHg) is the floating pressure
asymptote as t approaches infinity (28).
The PVA (mmHg · ml), or total ventricular mechanical
energy, was defined as the area bound by the ESPVR, the systolic
segment of the P-V loop, and the EDPVR (36). Because steady-state
changes in afterload shift the ESPVR relation to the left (8), P-V loops obtained during steady-state runs at different afterloads were
not used to determine PVA. Instead, the PVA of the steady-state P-V
loop was determined by matching the steady-state loop to a nearly
identical loop obtained during each corresponding caval occlusion run,
as described by Nozawa et al. (26). Generally, such a beat occurred
within the first four beats of caval occlusion.
The AVO2 difference (ml O2/ml blood)
representing the difference between arterial
(SaO2) and CS O2 saturation
content
(SCSO2) was calculated from the respective steady-state O2
saturations using the formula
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O2
(ml O2/beat) was calculated using the Fick principle (11)
as follows
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O2-PVA relation was
described by its slope and
M
O2 intercept, representing
the contractile efficiency and load-independent
M
O2, respectively (36). To
allow comparison between animals,
M
O2 and PVA were normalized
per 100 g of LV and converted to joules (J) using standard conversion
factors (1 mmHg · ml = 0.000133 J, and 1 ml
O2 consumed = 20 J). After conversion to joules, the slope
was rendered dimensionless and the
M
O2 intercept was expressed
as joules per beat per 100 g of LV. Contractile efficiency (%) was
expressed as 1 divided by (slope × 100).
Statistical analysis. Comparisons of mechanical and energetic parameters before and after RVP were made using the paired t-test. Comparisons of mechanical parameters at low and high afterload were also made using the paired t-test. A P value <0.05 was considered significant. All group data are expressed as means ± SE.
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RESULTS |
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Effect of short-term RVP on steady-state LV mechanical parameters.
Analog tracings recorded before autonomic blockade from a
representative animal before and after 24 h of RVP are shown in Fig.
1. Note the modest reductions in the
end-diastolic DAP, DSL, and
DLA after RVP. Table 1
summarizes mechanical data for the group at control and after 24 h of
RVP, measured before autonomic blockade. Short-term tachycardia pacing
(tachypacing) resulted in significant reductions in
dP/dtmax (P = 0.004), SW (P = 0.005), and LVEDV (P = 0.02) but no significant changes in HR,
LVEDP, LVESP, LVESV, LVESF, VCF, or
. Table
2 shows parameters of LV performance
derived from P-V plane analysis after autonomic blockade before and
after RVP. There were no significant differences in the slopes
(Ees, MW,
dE/dtmax) or the relative positions at
physiological ranges (V100, VW 1,000,
VD 2,000) of either the ESPVR, SW-EDV, or
dP/dtmax-EDV relations, indicating no change in LV
contractile performance after 24 h of tachypacing. For further
confirmation, dP/dtmax was also calculated from
each dP/dtmax-EDV relation before and after RVP at
a matched EDV, defined as the baseline EDV in the control state for
each animal. As shown in Table 2, there was no significant difference
in dP/dtmax at matched EDV. Figure 2 shows a composite EDPVR for the group
(after autonomic blockade) before and after RVP. Tachypacing resulted
in a modest leftward and upward shift of the EDPVR, indicating reduced
passive chamber compliance. Thus, after 24 h of RVP, the LV operated at
a lower EDV or preload, with proportionate reductions in SW and
dP/dtmax. There was no significant reduction in
baseline LV contractile function or relaxation, although the LV
diastolic chamber compliance was decreased.
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Effect of short-term RVP on afterload-induced enhancement of LV
performance.
Figure 3 shows the effect of increased
afterload on the ESPVR in a representative animal before (Fig.
3A) and after (Fig. 3B) short-term RVP. The
increases in LVESP (51-mmHg increase at control, 56-mmHg increase after
RVP) and LVESF (925-g increase at control, 1,099-g increase after RVP)
produced under each experimental condition were comparable. Under
control conditions, increased afterload shifted the ESPVR to the left
(V100 decreasing from 28.2 to 23.7 ml), indicating improved
LV performance without a significant change in the slope
(Ees). After pacing, the slope and volume intercept
of the ESPVR at baseline were similar to control. However, with
equivalent increases in afterload, the leftward shift of the ESPVR was
less pronounced (V100 decreasing from 25.9 to 23.3 ml) and
was associated with a mild reduction in slope (Ees
decreasing from 8.7 to 7.1 mmHg/ml), indicating attenuated load-induced
enhancement of LV performance compared with control. Table
3 shows group data for afterload-induced alterations in LV performance before and after pacing. Data from low
and high load are presented along with percent change in
V100 with high afterload for each condition. Under control
conditions, increased afterload was associated with maintenance of
Ees with a significant shift of the ESPVR to the
left (V100, P = 0.006). After pacing, increased
afterload was associated with reduced Ees
(P = 0.03). Also, a significant leftward shift of the
ESPVR was still present (V100, P = 0.009) but was
much less pronounced compared with control (
V100 pacing
vs. control, P = 0.04). The increase in afterload was
comparable for both conditions (
LVESP and
LVESF pacing vs.
control, P = not significant). Thus, after 24 h of RVP,
afterload-induced enhancement of LV performance was significantly
attenuated.
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Effect of short-term RVP on LV mechanoenergetics.
As shown in Table 4, short-term RVP
resulted in a significant reduction of total LV coronary blood flow
(P = 0.03) but no change in
SCSO2
saturation or baseline M
O2.
Figure 4 shows the relationship between
M
O2 and PVA before and after
RVP from a representative animal. Under both conditions, the
relationship was highly linear with correlation coefficients of 0.962 and 0.952 before and after RVP, respectively. In this animal, pacing
resulted in an increase in the
M
O2-axis intercept with
little change in slope, indicating increased O2 consumption
for nonmechanical processes with maintenance of contractile efficiency.
Table 4 shows group data for variables from the
M
O2-PVA relations determined in each animal. Under control conditions, contractile efficiency was
41.6 ± 4.3% for the group. After pacing, there was a significant increase in the M
O2-axis
intercept (P = 0.044) but no significant change in contractile
efficiency. Thus 24 h of tachypacing resulted in increased
load-independent M
O2 but no
change in the efficiency of conversion of consumed O2 to
mechanical work.
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DISCUSSION |
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Our study shows for the first time that despite unchanged baseline LV
contractile and relaxation indexes, short-term tachypacing results in
1) attenuation of afterload-induced increases in LV performance
and 2) increased M
O2
for nonmechanical processes but with maintenance of contractile
efficiency. The findings suggest that these defects and their
underlying cellular determinants, rather than being adaptive
mechanisms, are primary abnormalities involved in the development and
progression of the heart failure phenotype at the chamber level.
Mechanical effects of short-term tachypacing. Numerous prior investigations have demonstrated that 3-5 wk of tachypacing reliably produces LV dilatation, depressed contractility, and slowed relaxation (17-19, 30, 35, 39). In contrast, as shown in Tables 1 and 2, 24 h of RVP resulted in reduced dP/dtmax and SW in association with reduced preload (LVEDV) and no change in LV relaxation or filling pressure. Surprisingly, on examination of LV contractile performance in the P-V plane (Table 2), no significant differences were seen in slopes or relative positions of the ESPVR, SW-EDV, and dP/dtmax-EDV relations, suggesting that baseline LV contractility was not reduced. Indeed, both VCF, which is preload independent (24), and dP/dtmax adjusted for EDV did not change after short-term RVP (Tables 1 and 2).
Prior studies examining LV function after brief (24-48 h) rapid pacing are few (17, 19, 34). In contrast to our data, these studies reported depression of LV systolic function and relaxation and no change in LV size. The reasons for these discrepancies are not fully clear but may be related to differences in experimental design. First, we used rapid tachypacing of the LV, whereas previous studies used the RV as the pacing site. Although speculative, it is possible that differences in pacing site during the production of tachycardia heart failure may have divergent effects on early ventricular remodeling. Indeed, in our study the EDPVR was consistently shifted upward and to the left, indicating decreased chamber compliance (Fig. 2), whereas studies using RV pacing showed no change (34). Second, to allow sequential catheterization of the CS, the animals in our study were studied under anesthesia and mechanical ventilation. Also, LV performance was evaluated after autonomic blockade to obviate reflex effects. Although these manipulations allowed for careful control of loading conditions and autonomic tone, they may also have contributed to the divergence of our results with prior studies, especially because neural sympathetic tone and plasma norepinephrine are already significantly increased by 1 day of rapid pacing (17).Alterations of afterload-induced enhancement of LV performance with short-term tachypacing. The Frank-Starling mechanism describes the increase in myocardial contractile force resulting from an increase in initial muscle length or preload. An important determinant of this relationship is length-dependent activation of the contractile elements (1, 5). Several underlying mechanisms for length-dependent activation have been proposed, including stretch-induced increases in myofilament and troponin C Ca2+ sensitivity (1, 5), length-dependent increases in intracellular Ca2+ transients (2, 5), and alterations of stretch-activated ion channels (5). In isolated cardiac muscle preparations, this phenomenon manifests as a significantly steeper steady-state tension-length relation compared with the instantaneous tension-length relation such that abrupt increases in initial muscle length produce an immediate increase in peak tension followed by a delayed further increase in peak tension over several minutes (2). Analogous to cardiac muscle preparations, steady-state increases in either preload or afterload in the intact LV result in improved performance manifested by increased LVESP at any given end-systolic diameter or volume, i.e., a leftward shift of the ESPVR (8, 21, 38). The time course of this shift (~10 min) is similar to the time course of length-dependent activation in isolated cardiac muscle and thus is thought to be a manifestation of this phenomenon in the intact LV.
As shown in Fig. 3 and Table 3, under control conditions, acute increases in afterload produced a significant leftward shift of the ESPVR with maintenance of Ees, indicating improved LV performance and confirming prior studies from this laboratory (8). After short-term RVP, however, similar increases in load produced a much smaller leftward shift and decreased Ees, indicating significant attenuation of afterload-induced enhancement of LV performance and reduced inotropic reserve. These results suggest that length-dependent activation is reduced after short-term RVP and may afford one mechanism by which the Frank-Starling effect is altered in the failing heart in vivo. Indeed, in dogs with pacing-tachycardia heart failure, Komamura et al. (18) demonstrated that the failing LV is unable to increase stroke volume in response to an acute volume load. Similarly, the failing human heart is less able to recruit the Frank-Starling mechanism in the face of increased afterload (31). In vitro studies, however, have yielded conflicting results as to the status of the Frank-Starling mechanism in the failing heart. Schwinger et al. (33) reported that isolated papillary muscle strips from terminally failing human hearts were unable to use the Frank-Starling mechanism because of a failure of length-dependent activation. This finding was attributed to increased myofilament Ca2+ sensitivity in failing versus nonfailing myocardium that did not increase further with stretch. Wolff et al. (40) also reported increased myofilament Ca2+ sensitivity in canine pacing-tachycardia heart failure. In contrast, other studies have reported that the Frank-Starling mechanism, although possibly attenuated, is preserved in both human (15) and experimental (7) heart failure and that myofilament Ca2+ sensitivity is unchanged (12). As pointed out by de Tombe (6), these discrepancies may be secondary to experimental conditions and technical considerations in isolated muscle preparations, especially the level of phosphorylation of contractile proteins during the studies. Furthermore, the functional significance of reported changes is not entirely clear as most studies have been performed after the establishment of an advanced or end-stage heart failure phenotype, which limits insights into the causal mechanisms underlying its development. In our study, using an animal model that reproducibly produces heart failure over a well-defined time period, we have demonstrated reduced inotropic reserve in the face of increased afterload before overt mechanical dysfunction or LV dilatation. This suggests that alteration of length-dependent activation is a fundamental defect in the development and progression of the heart failure phenotype in vivo.Alterations of LV mechanoenergetics with short-term tachypacing.
Mechanoenergetic performance of the LV can be assessed using the
relationship between M
O2 and
PVA (26, 29, 36). The M
O2
intercept of this relation represents
M
O2 for nonmechanical processes (unloaded M
O2),
consisting primarily of energy requirements for excitation-contraction
(EC) coupling and basal metabolism. The inverse of the slope of the
relation reflects the efficiency of chemomechanical energy transduction
of the myofilaments (contractile efficiency). As shown in Fig. 4 and
Table 4, short-term RVP resulted in increased unloaded
M
O2 and unchanged contractile
efficiency. Tachycardia is associated with increased transsarcolemmal
Ca2+ flux resulting from increased magnitude and slower
inactivation of inward Ca2+ current (27) as well as
increased intracellular Na+ activity favoring
Ca2+ influx via Na+/Ca2+ exchange
(4). This results in increased peak systolic and end-diastolic
Ca2+ (14), increased sarcoplasmic reticulum (SR)
Ca2+ loading (3), and increased SR Ca2+
available for myofilament activation. As detailed by Suga (36), interventions that increase myofilament Ca2+ delivery also
increase M
O2 requirements for
EC coupling. Additionally, because basal metabolic
M
O2 is thought to primarily
reflect energy requirements for maintenance of the intracellular ionic environment and cellular structures (36), the marked increase in
intracellular Na+ with tachycardia (4) would also be
expected to increase energy requirements for the
Na+-K+ pump needed to maintain intracellular
Na+ concentration. Thus the increase in unloaded
M
O2 after short-term RVP is
likely secondary to increased energy requirements for both EC coupling
and basal metabolism.
O2. Because failing
myocardium has deficient energy reserves (25), increased contractile
efficiency was postulated to be a beneficial adaptation to limited
energy supply and increased stress (16, 39). Additionally, although unloaded M
O2 was unchanged,
given that unloaded M
O2 is
positively correlated with contractile state, it was still increased
relative to the depressed contractility of the failing heart (39). Our data indicate that increased O2 consumption for
nonmechanical processes occurs early in the development of heart
failure before overt mechanical dysfunction, suggesting that
O2 wasting is a primary defect contributing to the reduced
energy reserves seen in advanced disease. Conversely, the absence of
early changes in contractile efficiency would support the hypothesis
that improved efficiency in advanced heart failure is a compensatory
adaptation to reduced energy reserves.
Study limitations.
First, in a prior study examining LV mechanoenergetics in the intact
animal, we used transient changes in loading conditions to define the
M
O2-PVA relation on
a beat-by-beat basis (29). More recently, Nozawa et al.
(26) demonstrated that the
M
O2-PVA relation in
intact dogs determined during transient load alterations was less
linear and not coincident with the relation determined during
steady-state load changes. In view of these results, we chose to use
the steady-state method in this study. Using this protocol, we
calculated an overall efficiency of 41.6% at baseline, well within the
wide range of efficiencies (23-50%) reported by others (16, 26,
36, 39). Second, it was not always possible to place the LAD flow probe
proximal to the first septal perforator branch. Thus we assumed that
coronary flow was proportional per unit mass throughout the LV (26, 29)
both before and after short-term RVP. This assumption is reasonable
given that chronic pacing has not been shown to result in significant
regional alterations in blood flow, ischemia, or LV hypertrophy
(34). Finally, as in many prior studies, our analysis assumes linearity
of the ESPVR. In the intact canine model, Little et al. (23) showed
that although a slight but consistent curvilinearity of the ESPVR
exists regardless of inotropic state, this degree of nonlinearity does
not prevent the relation from being well approximated by a straight
line. In our study, the linear regression correlation coefficients were high, and it is doubtful that a significant quantitative error resulted. Consistent with this, Nozawa et al. (26) demonstrated that
the M
O2-PVA
relation is the same whether the ESPVR is assumed to be linear or nonlinear.
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ACKNOWLEDGEMENTS |
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We gratefully acknowledge the excellent technical assistance of Danny Escobedo and Cindy Ramirez.
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FOOTNOTES |
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This work was supported by a Grant-in-Aid from the American Heart Association, the Research Service of the Department of Veterans Affairs, a grant from the South Texas Health Research Center, and a grant from the San Antonio Area Foundation. S. Prabhu is an Established Investigator of the American Heart Association.
The costs of publication of this article were defrayed in part by the payment of page charges. The article must therefore be hereby marked "advertisement" in accordance with 18 U.S.C. §1734 solely to indicate this fact.
Address for reprint requests and other correspondence: S. D. Prabhu, Division of Cardiology, Univ. of Louisville, ACB, 3rd Flr., 550 S. Jackson St., Louisville, KY 40292.
Received 19 May 1999; accepted in final form 23 August 1999.
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