(Circulation. 2000;102:1158.)
© 2000 American Heart Association, Inc.
Basic Science Reports |
From the Institute for Surgical Research and The Department of Cardiology, Rikshospitalet, University of Oslo, and the Norwegian University of Science and Technology, Trondheim (H.T., B.A.), Norway.
Correspondence to Otto A. Smiseth, Institute for Surgical Research, Rikshospitalet, The National Hospital, N-0027 Oslo, Norway. E-mail o.a.smiseth{at}rh.uio.no
| Abstract |
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Methods and ResultsIn 13 anesthetized dogs, myocardial longitudinal strain was measured on apical images as the time integral of regional Doppler velocity gradients. Ultrasonic segment-length crystals were placed near the left ventricular (LV) apex and near the base. Apical ischemia was induced by occluding the left anterior descending coronary artery (LAD), and preload was increased by saline. Percentage systolic strain by Doppler correlated well with strain by sonomicrometry (y=0.82x-1.79, r=0.92, P<0.01). During LAD occlusion, apical myocardium became dyskinetic, as indicated by positive strain values and negative Doppler velocities. At the LV base, myocardial strain by Doppler, strain by sonomicrometry, and velocity of shortening by sonomicrometry (dL/dt) were unchanged during apical ischemia. However, myocardial Doppler velocities at the base decreased from 4.2±0.7 (±SEM) to 2.7±0.4 cm/s (P<0.05), probably reflecting loss of motion caused by tethering to apical segments. Volume loading increased myocardial Doppler velocities from 2.2±0.3 to 4.1±0.8 cm/s (P<0.05) and Doppler-derived strain from -12±1% to -22±2% (P<0.05), whereas peak LV elastance remained unchanged.
ConclusionsMyocardial strain by Doppler echocardiography may represent a new, powerful method for quantifying regional myocardial function and is less influenced by tethering effects than Doppler tissue imaging. Like myocardial Doppler velocities, strain is markedly load-dependent.
Key Words: echocardiography strain ischemia ultrasonics contractility
| Introduction |
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Strain (
) is a dimensionless quantity and is produced by application
of stress. It represents the fractional or percentage change
from the original or unstressed dimension and includes both
lengthening, or expansion (positive strains) and shortening, or
compression (negative strains). Ideally, one would like to measure
Lagrangian strain, defined as
(L-L0)/L0, where
L0 is the length corresponding to zero stress and
L is the instantaneous length.10 Because zero stress
lengths are technically difficult to measure, L0
is often replaced by the initial muscle length or the
end-diastolic length. Strain rate is the temporal
derivative of strain and is a measure of the rate of deformation, with
units of 1/s. The strain rate is also equivalent to the shortening
velocity per fiber length.
Previous studies have demonstrated myocardial velocity gradients by tissue Doppler echocardiography and suggest that myocardial strain rate can be calculated from velocity gradients in time and space.11 12 Ultrasound strain rate has recently been implemented as a real-time imaging modality and has been described by Heimdal et al.13
The aim of the present study was to validate Doppler-derived strain as a method to quantify regional myocardial function. In a prototype computer postprocessing program, tissue velocities and strain rate values from multiple points along an M-mode cursor line were extracted. By integrating strain rate over time, we obtained strain throughout the cardiac cycle. The strain estimates were expressed as instantaneous length in percentage of end-diastolic dimension. The mathematics and principles behind this analysis are described in the Appendix. The study was done in acutely anesthetized dogs in which a wide range of strains were induced by coronary occlusion and volume loading, respectively. As reference method for strain, we used myocardial segment lengths measured by sonomicrometry.14
| Methods |
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Pressure Measurements
A 5F micromanometer-tipped catheter (model
MPC-500, Millar Instruments) was positioned in the left ventricle (LV)
through a carotid artery. Via the appendage, a 5F
micromanometer and a fluid-filled catheter were
placed in the left atrium. All pressure transducers were calibrated
with a mercury manometer. The pressures were zero-referenced against
the fluid-filled left atrial catheter. Pressure and ECG data were
processed via preamplifiers and were digitized at 200 Hz for further
analysis on a PC computer station.
Sonomicrometry
A pair of ultrasonic crystals was implanted in the inner half of
the myocardium in the anterior LV wall near the apex, and
another pair was implanted in the anterolateral wall near the base.
Both sets of crystals were aligned parallel to the LV long axis. The
crystals were connected to a sonomicrometer (Triton
Technology Inc or Sonometrics). By calculating the instantaneous length
in percent of end-diastolic length, we obtained strain
throughout the cardiac cycle, and on this trace we measured peak
negative systolic strain (%
L). During ischemia,
there was systolic lengthening, and we report peak positive
strain. In 4 of the dogs, we inserted 3 pairs of endocardial diameter
crystals to measure LV volume; ie, base-apex, equatorial septumfree
wall, and anteroposterior diameters. LV volumes were calculated as a
general ellipsoid.15
Echocardiographic Analysis
We used a System FiVe digital ultrasound machine (GE Vingmed
Ultrasound) with a combined tissue imaging (2.5- to 3.5-MHz) and
Doppler (2.75-MHz) transducer. The strain rate images were
collected with a frame rate varying from 48 to 121 frames per
second, with a mean value of 69 frames per second, and to
minimize the noise level, the pulse repetition frequency was set to 250
to 300 Hz, and second harmonic imaging was used.
Recordings were done from apical views, and we oriented the 2D image planes through the regions in which we had inserted the segment-length crystals; ie, the anterolateral wall near the apex and the anterolateral wall near the base. The measurements were taken in the longitudinal direction from the inner half of the LV wall.
For the measurement of tissue velocities, we used a 2D multiregion technique, which allowed simultaneous processing of multiple velocity traces from optional places on the 2D images. The pulse repetition frequency was set to 1.0 to 1.5 kHz. In this software, the images showing the velocity of tissue motion are superimposed on the 2D echocardiographic images for real-time display in color. These color-coded velocities are automatically decoded into numerical values for quantitative analysis. Peak systolic myocardial velocity was assessed from the apical and basal segments in the same regions as for strain rate measurements.
The strain rates were color-coded, and strain rate images were
superimposed on the tissue images. An experimental application
programmed in Microsoft Visual C++ was used to extract strain rate and
strain along an M-mode line that was oriented in the direction from
apex to base. Measurements were averaged over a region of
10 mm
along the M-mode line. The measurements were taken from the inner half
of the myocardium, as close as possible to the myocardial
segments in which we had placed the ultrasonic crystals. Figure 1
shows schematically how strain rates
are obtained, and the Appendix gives the details.
|
Experimental Protocol
In 8 dogs, after a baseline recording, the LAD was
occluded for 1.0 to 3.5 minutes (mean, 2.3 minutes), and
recordings were repeated. In 5 dogs, after a baseline
recording, we increased stroke volume by infusion of 500 to
1000 mL saline IV. Four of these dogs were instrumented with LV
diameter crystals and were used to determine peak LV systolic
elastance (Emax). Emax was
measured during transient caval occlusions as the slope of the
end-systolic pressure-volume relationships and was used as
index of LV contractility.16
Because of interference between sonomicrometry and Doppler, we first recorded pressures, ECG, and echocardiographic data during 10 seconds and then pressures, ECG, and segment lengths during the subsequent 10 seconds. Pressure and ECG data were processed via preamplifiers and were digitized at 200 Hz for further analysis by CVSOFT (Odessa Computers). Data were recorded with the respirator off.
Statistics
Values are expressed as mean±SEM. Statistical analysis
was performed with Students t test for paired data. The
strain values obtained by the 2 different methods were compared by use
of the method of Bland and Altman17 and by regression
analysis with a least-squares method. We considered results
significant at a value of P<0.05.
| Results |
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Figure 4
shows a
representative experiment and displays myocardial
long-axis strain by Doppler along with myocardial strain by
sonomicrometry. Before LAD occlusion, peak systolic strains in
the apical region were -16±1% and -13±2% (P=NS) by
sonomicrometry and Doppler, respectively. During LAD occlusion,
either technique showed systolic lengthening of
ischemic myocardium, and systolic strains
by sonomicrometry and Doppler were 13±2% and 10±1%
(P=NS), respectively. Myocardial Doppler velocities
changed from positive to negative, consistent with
dyskinesis.
|
In the nonischemic region at the LV base, myocardial
Doppler velocities decreased markedly (P<0.05) during
LAD occlusion, whereas there was no significant change in strain rate
or in strain by either method (Table 1
). Furthermore, the time
derivative of the segment length (dL/dt) was unchanged, indicating no
change in regional velocity of shortening.
|
Volume loading increased LV end-diastolic pressure from
5.6±1.5 to 16.0±1.2 mm Hg (P<0.05) (Table 2
). In these animals, peak
systolic strains in the LAD region by sonomicrometry and
Doppler were -13±1% and -12±1%, respectively, at baseline and
increased to -22±3% (P<0.05) and -22±2%
(P<0.05), respectively, after volume loading. There were
also significant increments in myocardial strain rate and tissue
velocities. Volume loading caused no change in
Emax, indicating unchanged LV
contractility (Table 2
and Figure 5
).
|
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Figure 6
displays individual data and
demonstrates that peak systolic strain by Doppler
correlated well with peak strain by sonomicrometry (r=0.92,
P<0.01). The Bland-Altman plot in Figure 7
shows the agreement between the 2
methods.
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Beat-to-beat variability was obtained in each experiment by measuring strain by Doppler in 2 randomly selected beats. The mean values±SD of differences between measurements were 3.0±2.8% and 2.6±2.4% before and during LAD occlusion, respectively.
Angle Dependency of Doppler-Derived Strain
Figure 8
illustrates the
importance of the angle between the ultrasonic beam and the LV axis. In
3 dogs, we rotated the probe while measuring strain in the same
myocardial region (Figure 8A
). At 0° (long-axis orientation),
there was systolic compression (-16% on average), and at
90° (short-axis orientation), there was systolic expansion
(21% on average) of the anterior LV wall. When the angle approached
45°, however, the measured strain was markedly reduced (3% on
average) (Figure 8B
).
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| Discussion |
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The validity of our approach for calculating strain was confirmed by use of sonomicrometry as reference method. Over a wide range of strains induced by volume loading and coronary occlusion, respectively, the Doppler method showed strains that approximated those measured by implanted ultrasonic crystals. Taken together, these findings indicate that it is feasible to assess regional myocardial strain by Doppler echocardiography. In this model, however, with total coronary occlusion we induced marked depression of regional myocardial function. The present study did not investigate whether more subtle changes in myocardial function can be assessed by the Doppler-derived strain method. For the potential clinical application of the method, this is an important question, in particular for the application of Doppler-derived strain in the assessment of myocardial function during stress echo.
Volume loading markedly increased peak systolic strain rate and strain measured by Doppler. As indicated by the unchanged peak systolic elastance, this could not be attributed to increased LV contractility. This is in keeping with fundamental principles of cardiac mechanics and implies that Doppler-derived strain and strain rate are load-sensitive. Because the primary clinical potential of Doppler-derived strain may be to demonstrate regional differences in function rather than to serve as a marker of global contractility, this limitation may be less important.
Myocardial Strain and Strain Rate Versus Tissue Velocities
Myocardial velocity is a function of the local rate of
deformation, and therefore, myocardial velocities and strain rate to
some extent provide similar diagnostic information. This
was clearly seen during LAD occlusion, in that strain rate, strain, and
tissue velocities all indicated dyskinesis of the ischemic
segment. However, regional myocardial velocities are also generated by
tethering effects from other myocardial segments and by translational
motion of the entire heart, and this could limit the ability of tissue
Doppler imaging to quantify regional function. Such a limitation
was suggested by Yamada et al,18 who studied myocardial
velocity responses to dobutamine in patients with
coronary artery disease compared with normal subjects. They
demonstrated reduced velocity responses to dobutamine in
nonischemic segments in the coronary patients. In the
present study, myocardial velocities in the nonischemic
basal portion of the LV decreased during apical ischemia,
whereas regional strain and regional velocity of shortening (dL/dt) by
sonomicrometry were unchanged. Therefore, the decrease in basal tissue
velocities during apical ischemia could not be attributed to a
decrease in function in the basal segment. Most likely, the reduction
in basal myocardial velocities during LAD occlusion reflects loss of
the apical contribution to long-axis shortening. The
Doppler-derived strain and strain rate values at the base were also
unchanged and were therefore consistent with the sonomicrometry
data. Taken together, these results suggest that Doppler-derived
strain and strain rate are more direct measures of regional function
than tissue velocities, which are also influenced by contractile
function of other myocardial regions due to tethering. This could limit
the ability of tissue Doppler velocities to provide quantitative
data on regional function.
Because strain in principle measures the extent of shortening and
strain rate, the velocity of shortening, the 2 approaches may provide
complementary diagnostic information. More work is needed
to establish how each of the 2 modalities may contribute to the
noninvasive assessment of LV function. In our study, however, strain
rate was more noisy than strain, and with the present version of
the strain rate program, this appeared to be an important limitation.
This problem is illustrated in Figure 2
, where the strain rate,
although mostly negative during systole, has spikes with positive
values throughout systole. The present study did not investigate
the diagnostic potential of the imaging part of
Doppler-derived strain rate. It remains possible that qualitative
assessment of regional strain rate may be possible as part of the
imaging by Doppler echocardiography. However,
more work needs to be done to determine whether gross regional
differences in strain rate can be reliably assessed from color-coded
images.
Limitations
With the present algorithm, the strain rate and strain were
calculated directly from a spatial region of
5 mm, and this
sets the limit for the spatial resolution. This was a compromise
between demands for high spatial resolution and for high
signal-to-noise ratio. When a smaller distance is used for calculating
the Doppler velocity gradient, the random noise becomes relatively
larger. To reduce the noise, we averaged multiple samples from a
10-mm-long segment along the M-mode beam. Improved methods for
filtering may open for better spatial resolution.
A significant limitation of strain rate imaging is marked angle
dependency, more so than for other Doppler modalities. This is due
to the fundamental difference between measurement of fluid velocities,
where particles move freely, and tissue velocities in solid structures,
where deformation in one direction is always associated with
deformations in other directions to keep the mass of the structure
constant. The angle dependency was demonstrated in the present
study by showing directionally opposite strain values when the angle
between the ultrasonic beam and LV axis was off by >45°. In the LV
short-axis view, the intact myocardium shows thickening in
systole and thinning in diastole. The positive
systolic strain rate reflects the faster movement of inner than
outer myocardial layers in systole. Negative strain rates in long-axis
views reflect that the basal portion normally moves faster than the
apex. As indicated in Figure 8
, there is an intermediate angle
of
45° where the present method measures strains close to zero
and therefore does not reflect myocardial function. Understanding of
this limitation and correct orientation of the echo beam is critical
for the application of this imaging modality.
With the present method, we cannot claim to have alignment with any particular fiber orientation. We measured only net shortening of the tissue between the crystals and therefore cannot confirm that we have demonstrated the ability to directly measure fiber shortening. Furthermore, because of cardiac motion and the lack of fixed reference points in the myocardium, we could not maintain identical sampling points throughout the cardiac cycle. In this regard, the Doppler method is inferior to MR tissue tagging.
In conclusion, measurement of myocardial strain by Doppler echocardiography may represent a new, powerful method for assessing regional myocardial function, which appears to be less influenced by tethering effects than Doppler tissue imaging. Further studies are needed to determine whether this approach will be clinically useful.
| Acknowledgments |
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| Appendix 1 |
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) means relative deformation, and strain rate (SR) means
rate of deformation.19 If an object has an initial length
L0 that after a certain time changes to L, strain
is defined as
![]() | (1) |
![]() | (2) |
![]() | (3) |
![]() | (4) |
![]() | (5) |
![]() | (6) |
Strain rates were calculated with
5-mm offset between the 2
sampling points (
r in Equation 4
). To get a more robust
estimate, spatial averaging along the beam, as well as between
neighboring beams, was performed with a prototype GE Vingmed algorithm.
As a compromise between demands for low noise level and good spatial
resolution, we calculated the average of
15 samples from a region
that extended 10 mm along the M-mode line and <5 mm
laterally.
Received February 16, 2000; revision received March 30, 2000; accepted April 3, 2000.
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