The relation of heart rate and shortening fraction to echocardiographic indexes of left ventricular relaxation in normal subjects

The relation of heart rate and shortening fraction to echocardiographic indexes of left ventricular relaxation in normal subjects

lACC Vol. 2, No 5 November 1983'926--33 926 The Relation of Heart Rate and Shortening Fraction to Echocardiographic Indexes of Left Ventricular Rela...

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lACC Vol. 2, No 5 November 1983'926--33

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The Relation of Heart Rate and Shortening Fraction to Echocardiographic Indexes of Left Ventricular Relaxation in Normal Subjects ROBERT C. BAHLER, MD, FACC, THOMAS R. VRaBEL, MD, PAUL MARTIN, PhD, with the technical assistance of William E. Lamont, BS, Annette Marie Tolles Cleveland, Ohio

To determine the relation of heart rate and systolic function to echocardiographically derived indexes of left ventricular relaxation, M-mode echocardiograms of the left ventricle and mitral valve with a simultaneous phonocardiogram were recorded at rest from 28 normal men. The effects of altering the inotropic state and ventricular loading conditions were examined during isometric handgrip exercise and the Valsalva maneuver in a subset of 15 men. The left ventricular endocardial echocardiograms were digitized to provide a display of left ventricular internal dimension and its first derivative (dD/dt). The time course of relaxation, defined as the interval from left ventricular minimal systolic dimension to the point when the rate of change of dimension (dD/dt) decreased to 50% of peak, was directly related to the RR interval (r = 0.64, P < 0.0001) in the entire group, and this relation remained throughout the interventions.

Abnormalities of cardiac relaxation, as manifested by changes in the rapid filling phase of the left ventricle, have been described in a variety of disease states (1-5). In these studies the rapid filling phase has been characterized by indexes of the filling rate or by the degree of filling, or both, within a specified proportion of diastole. Intergroup comparisons of these indexes of diastolic function have been based on two implicit assumptions: 1) that they are not affected by systolic function and inotropic state, and 2) that, irrespective of heart

From the Division of Cardiology, Cleveland Metropolitan General Hospital, the DIVISIOn of Investigative Medicine, Mt. Sinai Medical Center and the Departments of Medicine, Physiology and Biomedical Engineering, Case Western Reserve Umversity School of Medicine, Cleveland, Ohio, This study was supported in part by grants from the Northeast Ohio Affiliate of the American Heart Association, Cleveland, Ohio and U.S. Public Health Service Grant HL-22484 from the National Institutes of Health, Bethesda, Maryland. Manuscript received November 23, 1982; revised manuscript received May 31, 1983; accepted June 3, 1983. Address for repnnts: Robert C. Bahler, MD, Cleveland Metropolitan General Hospital, 3395 Scranton Road, Cleveland, Ohio 44109. © 1983 by the Amencan College of Cardiology

The slopes of the regression lines of relaxation time (RT) and electromechanical systole (QSz) on the RR interval were similar. Diastolic time decreased proportionately more than relaxation time as the RR interval decreased, so that the proportion of diastole occupied by the relaxation time varied with cycle length. Peak diastolic dD/dt, normalized for variations in end-diastolic dimensions ([dD/dt]/D), was directly related to left ventricular shortening fraction (r = 0.71 p < 0.0001) and this relation remained during isometric grip. There was no correlation between the heart rate at rest and (dD/dt)/D over the range of 44 to 99 beats/min. It is concluded that the cardiac cycle length and shortening fraction are important variables associated with the time course and peak rate of cardiac muscle lengthening, respectively. Both must be included in any intergroup comparisons of diastolic function.

rate, relaxation time and rapid filling phase occupy a specified proportion of diastole. Systolic time intervals have been widely used as indexes of systolic function. However, these intervals are known to be affected by heart rate and loading conditions (6)-therefore, those factors must be included when quantitating patient responses. It has not been well defined in either animals or man whether indexes of the rapid filling phase are also influenced by loading conditions and heart rate. As heart rate increases, the decrease in the length of diastole is proportionately more than that of systole (7). For this reason, it may also not be appropriate to define the rapid filling phase as a percentage of diastole when heart rates differ between subjects. This question has not been examined over a range of heart rates at rest in human beings. Relaxation of isolated mammalian cardiac muscle is dependent on the interplay of the rate of inactivation of contractile units and the dynamic loading conditions during contraction and relaxation (8). In addition, the velocity of lengthening of cardiac muscle strips is very closely related 0735-1097/83/$300

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BAHLER ET AL. LEFT VENTRICULAR RELAXAnON

to the extent of shortening during contraction (9). In the intact heart, inotropic interventions alter the time constant of left ventricular pressure decay during isovolumic relaxation (10,11), which suggests that the inotropic state can affect relaxation. The relative roles of the inotropic state, systolic shortening and loading factors on the duration of relaxation and the velocity of lengthening have not been defined for the intact heart. The volume of the left ventricle in both animals (12,13) and normal human subjects (1,14) is very closely related to the diameter of the transverse dimension or minor axis of the ventricle. M-mode echocardiography can depict this dimension at rates up to 2,000/s, thus providing a unique tool for examining time intervals and velocities of wall motion. Therefore, this method is well adapted for characterizing relaxation of the left ventricle in normal subjects. In this report, we examine the relations between 1) the inotropic state or heart rate and the time course of left ventricular relaxation, and 2) systolic function and the velocity of lengthening.

Methods Subjects. High quality M-mode echocardiograms were recorded from 28 men ranging in age from 18 to 61 years. Subjects with any known disease were excluded. Subjects above the age of 35 were interviewed to exclude cardiovascular symptoms and they all had a normal 12 lead electrocardiogram. Verbal consent was obtained from all subjects and the protocol was approved by the Human Investigation Committee. Protocol. All subjects rested on an examining table in a quiet room with subdued light for 20 minutes before any recordings were obtained. Blood pressure was measured by a cuff sphygmomanometer just before the echocardiographic study. M-mode echocardiograms of the left ventricle and mitral valve were obtained (Hoffrel 201 System) using a 2.25 MHz focused transducer. For optimal visualization of the left ventricular structures, subjects were examined in a semileft lateral position with a 10 to 15° elevation of the shoulders. An unfiltered phonocardiogram was obtained from the second left interspace along the left sternal border. A 3 lead electrocardiogram was positioned to provide an equivalent lead II. All data were recorded on a Honeywell fiberoptic recorder (model LS6A Visicorder) at paper speeds of 100 or 200 mm/s. Echocardiograms of the left ventricle were obtained using the criteria of Popp et al. (15) and were recorded in a magnified mode with the interventricular septum at the upper margin and the posterior wall at the lower margin of ultraviolet sensitive paper. Increased sympathetic stimulation and increased afterload. After these initial recordings, a subset of 15 younger

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subjects was selected in whom the echographic studies of the left ventricle were most easily obtained. The effects of increased sympathetic stimulation, in conjunction with an increased afterload, were studied by having the subject perform isometric handgrip exercise at 30% of maximal voluntary grip on a hand dynamometer. Maximal voluntary grip was the greatest of three trials performed before the initial rest period. Blood pressure and the echophonocardiographic data were recorded after the second minute of isometric grip. The subjects then rested for 10 to 15 minutes, by which time their blood pressure and heart rate returned to baseline levels, and control data were then recorded again. Valsalva maneuver. The Valsalva maneuver was next performed in this subset of 15 subjects to observe the effects of decreased preload and afterload. The maneuver was initiated by having the subject blow a mercury column to a height of 30 to 40 mm. This effort was begun from endexpiration to avoid an air interface interfering with sound transmission. The echocardiographic recordings were instituted as soon as the left ventricular dimension was seen to decrease. Six to 10 cardiac cycles were recorded, first from the left ventricle and then from the mitral valve. Cuff blood pressures could not be satisfactorily recorded in this 10 to 15 second interval and the muscular effort precluded satisfactory phonocardiograms. Left ventricular studies were technically adequate in only 10 subjects during the Valsalva maneuver. Measurements. All dimension and time interval measurements were digitized at 0.01 inch and 2.5 ms intervals using a commercially available microprocessor system (Graphics Analyzer, Numonics Corporation) and reported as the average of five cycles to minimize respiratory variation effects. A continuous plot of the left ventricular minor axis (dimension) was derived from a digitized trace of the endocardial echos of the interventricular septum and posterior wall. The rate of change of dimension (dD/dt) was derived after a seven point quadratic smoothing technique was applied to the data twice (lower tracing, Fig. 1). Left ventricular internal dimensions were measured from leading edge to leading edge of the endocardial echoes. Left ventricular internal dimension at end-diastole (LVIDd) was obtained at the peak of the R wave, and left ventricular internal dimension at end-systole (LVIDs) was measured as the smallest systolic dimension from the digitized plot of dimension. A line corresponding to the onset of Az was used to help identify this point (illustrated as a vertical dashed line in Figure 1). The shortening fraction was defined as SF =:: (LVIDd LVIDs)/LVIDd. The peak rate of increase in dimension, normalized for the end-diastolic dimension ([dD/dt]/D), was defined as (dD/dt)!D =:: (peak dD/dt)/LVIDd. The normalization of the velocity of lengthening allows a comparison of lengthening velocities 1) between different sized ventricles, and 2) with the systolic shortening fraction. An identical approach has been used in comparing length-

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BAHLER ET AL LEFr VENTRICULAR RELAXATION

ening velocities between isolated cardiac muscle strips of varying lengths (9). The time intervals measuredfrom the original recordings were defined as follows: RR = cardiac cycle length; QS2 = time from the first deflection of the QRS to the onset of the first high frequency deflection of the aortic closure sound (A 2); A 2E = time from the first high frequency deflection of A 2 to the point of maximal anterior movement of the anterior mitral leaflet; ArD = isovolumic relaxation time, defined as the time from A 2 to the initial separation of the anterior and posterior mitral leaflets; and A 2SI = total diastolic time, measured as the time from A 2 to the onset of the first major amplitude deflection of the first heart sound. The microprocessor outputs were utilized for measuring the following intervals: LVIDs-A 2 = protodiastole, defined as the time from the point when - dD/dt reaches zero (minimal left ventricular internal systolic dimension) to A 2; RT = total relaxation time, defined as LVIDs to the point when dD/dt decreases to 50% of peak-an arbitrary point, as judged by visual inspection of several hundred printouts, that corresponds to the latter portion of the transition between the rapid and slow filling phases; and RTp = relaxation time from LVIDs to peak dD/dt (Fig. 1). The duration of the rapid filling period was calculated as RT - ([ArD] + protodiastole) . Statistical analysis. The interobserver variability of velocity measurements was determined by three observers independently measuring 10 randomly selected left ventricular echograms, and the measurement variability of the total relaxation time interval was examined by two observers independently measuring 10 randomly selected digital plots of dimension and dD/dt. The variance between observers versus the intersubject variance was calculated by an analysis of variance (ANOYA). The interobserver variability for all the measurements was significantly less than that of the intersubject variability (p = 0.0001). An analysis of variance was used to compare subjects under 45 years of age with the older subjects, and to quantitate the responses to the interventions. When significant differences (p < 0.05) between groups were found, intergroup differences were evaluated by Tukey's procedure for multiple comparisons and values of p < 0.05 were considered significant. Linear regression analyses were performed to compute the slope, intercept, standard error of the estimate and correlation coefficient for the experimental variable. The equality of regression lines between groups was tested using a small sample t test for parallelism. All values are reported as mean ± standard deviation.

Results Rest observations in all subjects. The indexes of relaxation for the 28 normal men (Table 1) were obtained over a range of heart rates at rest from 44 to 95 beats/min.

lACC Vol. 2. No.5 November 1983:92&-33

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Figure 1. Methods for analysis of left ventricular internal dimension are shown. A, The original left ventricular M-mode echogram and phonocardiogram (phono); B, a traced printout of the digitized endocardial surfaces; C, plot of minor axis dimension versus time; and D, the first derivative of this dimension (dD/dt) versus time. The dashed vertical line within all the plots defines the onset of the aortic closure sound (A2). The measurement points for the intervals QSz, relaxation time (RT), and relaxation time to peak velocity of lengthening (RTp) plus, the dimensions LVIDs and LVIDd are shown. Digitizing only one or two cardiac cycles for each input to the microprocesor resulted in a printout with a time base of 96 to 192 mrn/s. EKG = electrocardiogram; IV = interventricular; LVIDd = left' ventricular internal dimension at enddiastole; LVIDs = minimal left ventricular internal dimension in systole; QSz = electromechanical systole.

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BAHLER ET AL LEFf VENTRICULAR RELAXATION

Table 1. Time Interval and Velocity Values for Left Ventricular Relaxation in Normal Men

480 0

Relaxation time (ms) Protodiastole (ms) Isovolumic relaxanon (ms) Rapid filling penod (ms) RTp (ms) dD/dt peak (cm/s) (dD/dt)1O (s- ')

Range

Mean

127-252 0-55 39-91 33-195 88-203 10.6-247 2.02-5.04

201 ± 30 29 ± 62 ± 110 ± 152 ± 15 2 ± 314 ±

12

14 36 24 3.6 0.85

dD/dt peak = peak lengthening velocity of the left ventncular minor axis; (dD/dt)/D = dD/dt peak divided by the left ventricular internal dimension atend-diastole; RTp = interval from the minimal left ventncular dimension in systole to dD/dt peak.



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Neither the time intervals nor the velocity measurements were significantly related to age. Table 2 shows the relation between indexes of relaxation versus variables of systolic function and the cycle length. The relaxation time interval was directly related to the RR interval. The QSz interval was also dependent on the RR interval and the slopes of the regression lines of relaxation time and QSz on the RR interval were not significantly different (Fig. 2). These relations can also be expressed with the heart rate as the independent variable, which allows comparisons with prior studies of systolic time intervals (Table 3). Neither the isovolumic relaxation time (AzD) nor the interval from A z to the E point of the mitral echogram (AzE) was related to the RR interval, whereas the duration of the rapid filling wave was directly related to the RR interval (r = 0.62, P < 0.001). The time from left ventricular internal dimension at end-systole (L VIDs) to peak dD/dt (RTp), which included only the initial portion of the rapid filling wave, had a weaker relation with the RR interval (Table

Table 2. Correlation Matrix of Relaxation Phase Indexes and Variables of Systolic Function in 28 Normal Men RR RT RTp A 2-D A 2-E

dD/dt peak (dD/dt)/D

0.64* 0.39 -0.15 0.00 -0.25 -0.25

*p os 0.001 ArD = isovolumic

0.54* 0.32 019 0.04 -0.55* -054*

SF

-dD/dt peak

-0.09

-0.27 0.09 0.45 024 069* 0.56*

019

005 0.07 0.60* 071 *

relaxation penod; A 2-E = interval from A 2 tothe E point of the mitral valve echogram; (dD/dt)1O = dD/dt peak divided by the left ventricular internal dimension atend-diastole, dD/dt peak = peak lengthenmg velocity ofthe left ventricular minor axis: -dD/dt peak = peak shortening velocity of the left ventncular mmor axis; QSz = electromecharucal systole, RR = cycle length; RT = relaxanon nrne: RTp = mterval from the rmnimal left ventricular dimension in systole to dD/dt peak: SF = shortening fraction.

120

600

0

700

800

600

1000

II INTERVAL

1100

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1200

1300

1400

Figure 2. Plot of the regression lines for QSz and relaxation time (RT) (ordinate) versus cardiac cyclelength (abscissa). Theregression equations are y = 271 ± 0.13x and y = 96 + Ol lx for QSz and RT, respectively. The closed circles represent subjects under age 45 and the open circles are subjects 45 or older; and their regression lines were not significantly different (p > 0.05). QS2 = electromechanical systole.

2). There was no correlation between either the systolic or diastolic blood pressure and the relaxation time interval. Isovolumic relaxation time tended to be directly related to the systolic blood pressure (r = 0.42, P = 0.05). The normalized velocity of lengthening ([dD/dt]/D) was directly related to the shortening fraction (SF) (Fig. 3) and also to the peak velocity of systolic shortening (- dD/dt) (Table 2). The (dD/dt)/D was inversely related to the relaxation time interval (r = 0.43, P < 0.05). Stepwise linear regression analysis demonstrated that only the shortening fraction and relaxation time independently contributed to the model explaining variability in (dD/dt)/D ([dD/dt]/D = 9.11 SF - 0.10 RT + 16.91, r = 0.80, P < 0.0001). However, (dD/dt)/D was not directly related to the RR interval despite the wide range of heart rates at rest. Velocity measurements did not correlate with either the systolic or thediastolic blood pressure. Both diastole (A 2S I ) and relaxation time increased as cycle length increased. However, relaxation time increased proportionately less so that it occupied a progressively smaller portion of diastole as cycle length increased (Fig. 4). Response to maneuvers (Table 4). Isometric handgrip produced significant increases in heart rate and systolic blood pressure. The decrease in the RR interval was associated with concomitant decreases in the relaxation time and QS2 intervals, and the slopes of the regression lines were not discernibly different from those observed at rest. There was no correlation between the increments in systolic blood pres-

lACC Vol. 2, No.5 November 1983 926--33

BAHLER ET AL LEFf VENTRICULAR RELAXATION

930

Table 3. Regression Equations for Predicting Relaxation Time (RT) and Electromechanical Systole (QSz) From Heart Rate Subjects Variable

Equation

-1.6 -1.9 -1.7 -2.1

RT (ms) QSz (ms) QS2 (ms) QSz (ms) HR

heart rate; SEE

=

=

HR HR HR HR

+ + + +

308 523 508 546

SEE

No.

Age Range (yr)

Source

23.5 20.1 16.7 14.0

28 28 122 121

18-61 18-61 20-80 19-65

This study This study Krayenbuhl et al. (16) Weissler et al. (17)

standard error of the estimate; other abbreviations as before.

sure and the decreases in relaxation time. Ventricular dimensions and shortening fraction did not change with handgrip and the association between the normalized velocity of lengthening ([dD/dt]/D) and the shortening fraction remained (r = 0.51, P = 0.05). The Valsalva maneuver resulted in decreases of the left ventricular dimensions, duration of systole and the RR interval. Although the mean value for relaxation time did not decrease, this interval remained directly related to the RR interval (r = 0.77, P < 0.01). The shortening fraction increased but the (dD/dt)/D remained unaltered; the correlation between these variables (r = 0.55, P = 0.09) was of borderline significance in view of the small number of subjects. Isometric grip resulted in a decrease in the duration of diastole (AzS,) that was almost as great (221 ms) as the absolute decrease in the RR interval (262 ms). On the other Figure 3. A plot of the regression line for (dD/dt)/D versus shortening fraction. The closed circles represent subjects under age 45 and the open circles are subjects 45 or older; their regression lines were not significantly different (p > 0.05). The regression equation for the combined data is y = 9.56X - 0.58. (dD/dt)/D = peak velocity of lengthening divided by the left ventricular internal dimension at end-diastole.

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Discussion Defining the relaxation time interval. Our echocardiographic study of early diastolic events in human subjects demonstrates that the time course of left ventricular relaxation is directly related to cardiac cycle length and this period of relaxation occupies an increasing proportion of diastole as cycle length decreases. Our definition of relaxation time is arbitrary, because there are no experimental data to precisely indicate when ventricular relaxation, or inactivation of the contractile units, begins or ends. We chose the interval from the time of the minimal systolic dimension to an easily definable point that corresponds to the apparent end of the rapid filling wave (the point when the first derivative of dimension has decreased to 50% of the peak value); this interval encompasses protodiastole, isovolurnic relaxation and rapid filling. In view of the nonhomogeneous contraction pattern of the normal heart, there may still be some contractile activity when relaxation is believed to have started. The same problem pertains to using the aortic component of the second heart sound (Az) as the onset of relaxation and, additionally, there is some variability between the point of ventriculoaortic pressure crossover and the onset of Az (18). The relation between relaxation time and the RR interval was similar whether one defined the onset of relaxation time at minimal left ventricular internal dimension in systole (LVIDs) or A z (unpublished observations). We selected minimal systolic dimen-

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1=21 r=G11 SEE=&.l

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hand, QSz decreased only 29 ms; consequently, systole (QSz) occupied a larger proportion of the cardiac cycle. The relative proportions of diastolic intervals also changed as cycle length was altered. As cycle length decreased, the absolute decrease in the relaxation time interval was much less (27 ms) than the decrease in AzS, (221 ms) so that relaxation time occupied a significantly greater proportion of diastole.

.5

.6

sion for defining the onset of the relaxation time because it would be more universally applicable with angiographic, nuclear or echocardiographic studies and a phonocardiogram is not required. Gibson and Traill (1,19) studied diastole extensively, and chose the point of minimal dimension to define the onset

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BAHLER ET AL LEFT VENTRICULAR RELAXATION

Table 4. Effects of Isometric Exercise and the Valsalva Maneuver p Value

Vanable

Handgrip

Control I

Systolic blood pressure (mm Hg) Cardiac cycle length (ms) LVIDd (cm) LV systolic function Shortening fraction QSz (ms) -dD/dt peak (cm/s) LV relaxation Relaxation time (ms) dD/dt peak (cm/s) (dD/dt)/D (s : ') A2S, (ms) A2S,/RR Relaxation time/ AzS,

Control 2*

Valsalva

Control I Versus Handgrip

Control 2 Versus Valsalva

< 0.01

107 ± 9

138 ± 8

104 ± 6

986 ± 132

724 ± 88

978 ± 126

780 ± 188

< 0.01

< 0.01

5.0 ± 0.3

50 ± 0.4

50 ± 03

4.1 ± 0.4

NS

< 0.01

0.38 ± 004 402 ± 22 97 ± 09

036 ± 004 373 ± 24 10.2 ± 1.3

037 ± 005 380 ± 29:j: 10.0 ± 10

0.43 ± 0.04t 287 ± 50:j: 10.4 ± 1.7

NS

< 0.05

< 001 < 0.01

NS

NS

± ± ± ± ± ±

211 ± 30 11.7 ± I 5t 2.88 ± 0.43

< 0.05

NS NS NS

214 13 8 279 625 625 0.34

± ± ± ± ± ±

26 2.6 0.54 121 48 005

187 149 2.97 404 553 0.46

± ± ± ± ± ±

24 40 076 75 44 0.07

205 134 2.69 620 626 0.33

21 3.7 0.73 104 43 004

NS NS < 0.01 < 001 < 001

*No significant differences between Control I and Control 2. tp :5 0 0 I versus handgrip :j:Measured as time from onset of QRS to left ventncular rrnrurnal dimension in systole. AzS, = duration of diastole; dD/dt = peak lengthening velocity of the left ventncular minor axis; (dD/dt)/D = dD/dt peak divided by the left ventncular Internal dimension at end-diastole; -dli/dr peak = peak shortening velocity of the left ventricular nunor axis; LVIDd = left ventricular Internal dimension at end-diastole: NS = not sigruficant: QSz = electromechanical systole. RR = cardiac cycle length.

of relaxation. Their echocardiographic recordings of the left ventricle were, in comparison with the standard left ventricular echogram, focused more superiorly within the ventricle to include the posterior mitral leaflet. Consequently, a portion of membranous septum may have been included and the site for the posterior wall recording would have been

Figure 4. Plot of the inverse relation betweencardiac cycle length and the proportion of diastole (A'zS,) occupied by relaxation time (RT/AzS I ) . The relation is linear (y = 0.61 - 0.265 -3 X) over the range of heart periods (RR intervals) seen in our subjects at rest. 06



r = 0.66 n= 28 SEE = 0.05

0.5



(J)

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0.3



0.2 600

800

RR

1000 1200 Interval (ms)

1400

one of the last areas of the ventricle to be activated. By having used this beam orientation, their minimal dimension actually came after A 2 and was almost synchronous with mitral valve opening (19). Minimal systolic dimension from the standardized ventricular echogram corresponds to the traditional definition of the beginning of protodiastole and would appear to be the most appropriate point from which to initiate a measurement of relaxation time. Rapid filling phase of relaxation. The major component of the relaxation time interval is the rapid filling phase, and its duration is also directly related to the RR interval. This relation implies that the active process of relaxation extends into the rapid filling phase. That is, the duration of the period of rapid lengthening of left ventricular muscle is influenced by the time course for inactivation of the contractile units. Therefore, an interval that is to characterize the time course of relaxation should include the rapid filling phase. Although the time from minimal systolic dimension to peak dD/dt (RTp) correlates with the relaxation time interval (r = 0.74, P < 0.001) and might be a suitable time interval for characterizing the relaxation process, its omission of half of the rapid filling phase makes it a less satisfactory interval. The time to peak dD/dt (RTp) seen in our normal subjects (lSI ± ms) is similar to that reported in two previous studies (20,21). In these reports this interval was derived from the curve of time versus radioactivity of a gated radionuclide angiogram. Bonow et al. (20) did not find a significant

932

BAHLER ET AL. LEFf VENTRICULAR RELAXATION

correlation between heart rate and the time to peak rate of filling (r = -0.32). This correlation coefficient is similar to what we observed between the RTp interval and RR interval (r = 0.39, P = 0.05). Even though their correlation coefficient was not significant, our data would suggest caution in the use of time to peak rate of filling without regard to cycle length. QS2 interval versus relaxation time. Changes in the QS2 interval relate to the inotropic state of the heart (6). The velocities of electrical systole, tension development and fiber shortening are accelerated with positive inotropic interventions (such as increases in heart rate) and the QS2 interval shortens. In studies of papillary muscle under a number of experimental conditions (22,23) the rate of deactivation of the contractile process has been shown to parallel the rate of activation. In the intact heart the time constant (T) of the decline in left ventricular isovolumic pressure decreases with positive inotropic conditions (10,11,24,25). Increases in heart rate have been shown to decrease the time constant in both human subjects and animals (24-26). These data are consistent with the concept that many positive inotropic interventions, such as an increased heart rate, result not only in more rapid activation and contraction, but also a more rapid deactivation of the contractile elements. Our observation that the slopes of the regression lines of QS2 and relaxation time on the RR interval are similar implies that the relaxation time interval, like the QS2 interval, may be affected by the inotropic state of the heart. Irrespective of whether the inotropic state is the underlying cause for the relation between the RR and relaxation time intervals, it is evident that studies of the time course of relaxation must relate this interval to the cardiac cycle length. The additional observation that, even at heart rates at rest, the proportion of diastole occupied by the relaxation time is also dependent on the RR interval, means that studies of indexes characterizing the time course of early relaxation cannot simply express the index as a proportion of diastole. Thus, either the interval must be related to heart rate, or the heart rate must be controlled if group comparisons are to be meaningful. Although the A 2D and A 2E intervals are components of the relaxation time. they were not affected by changes in the RR interval. Both the A2D (isovolumic relaxation) and A2E intervals are influenced by the left ventricular endsystolic pressure and left atrial pressure (27,28), and the A2E interval may also depend on the rate of left ventricular filling (29). Because these intervals are subject to multiple variables, they should not be used as indexes of the time course of left ventricular relaxation. Relation between extent of shortening and velocity of lengthening. We have shown that even in the normal group, the velocity of lengthening is directly related to the extent of preceding shortening. The extent of shortening is anticipated to be a major variable affecting the lengthening

lACC Vol 2. No 5 November 1983:926-33

velocity, because it determines the dimension through which subsequent lengthening is likely to take place. Furthermore, because the extent of shortening and the time constant of isovolumic pressure decay are inversely related (10), it is apparent that the biomechanical events of shortening can affect the relaxation process. Studies of isotonic relaxation in isolated cardiac muscle strips (9,30) have also shown that the peak velocity of lengthening is closely correlated with the extent, and not the velocity, of shortening. Our data and two recent reports (20,21) in which gated radionuclide angiography was used to determine the peak filling rate as related to ejection fraction, confirm that this relation between extent of shortening and velocity of lengthening is present in the human heart. Consequently, for proper comparisons between patient groups and during interventions within a group, the peak velocity of filling must be related to the concurrent extent of systolic shortening. Effect of handgrip and Valsalva maneuver on relaxation time course. Both isometric grip (31,32) and the Valsalva maneuver result in increased sympathetic activity and a modest increase in heart rate, but isometric grip increases and the Valsalva maneuver decreases the systolic wall tension. Preload is generally unaltered during isometric grip exercise and is decreased with the Valsalva maneuver in normal subjects (33). It is unclear how these changing loads would affect the time course of relaxation because there are conflicting data regarding the influence of systolic load on the time constant of isovolumic relaxation (8,10,11,25) and there is no direct information as to how diastolic loads affect the duration of the rapid filling phase. That diastolic load may modify the time course of relaxation in man is suggested by comparing the responses to isometric grip exercise and the Valsalva maneuver (Table 4). Both resulted in comparable sympathetic stimulation as reflected by the increases in heart rate and decreases in the duration of systole, yet the mean relaxation time interval decreased only with handgrip. That the relaxation time interval did not decrease during the Valsalva maneuver could be the result of the influence of differing systolic loads on relaxation, but is more likely to be the consequence of decreased venous return during the Valsalva maneuver. Role of diastolic load. Although the kinetics of the inactivation process probably help define the time frame within which the cardiac muscle can rapidly lengthen in response to a load, the diastolic load itself can modify the velocity of lengthening (34) and thereby could alter the time course of the rapid filling phase. The latter phenomenon has been observed in patients with mitral stenosis (1) and may have contributed to the response we observed during the Valsalva maneuver; that is, (dD/dt)/D and the relaxation time were unaltered despite the respective increases in shortening fraction and heart rate. The decreased venous return reduced the diastolic load so that the velocity of lengthening was decreased relative to the preceding systolic shortening and,

JACC Vol. 2, No 5 November 1983.926-33

BAHLER ET AL. LEFr VENTRICULAR RELAXATION

therefore, the time course of the rapid filling phase did not decrease in conjunction with the shorter RR interval. Conclusions. Even though it is likely that a number of factors influence the time course and rate of lengthening of cardiac muscle, our data indicate that heart rate, extent of systolic shortening and possibly the diastolic load are important variables for these measurements in human beings.

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