J Appl Physiol 99: 1104-1111, 2005.
First published May 19, 2005; doi:10.1152/japplphysiol.00191.2005
8750-7587/05 $8.00
Biphasic tissue Doppler waveforms during isovolumic phases are associated with asynchronous deformation of subendocardial and subepicardial layers
Partho P. Sengupta,
Bijoy K. Khandheria,
Josef Korinek,
Jianwen Wang, and
Marek Belohlavek
Division of Cardiovascular Diseases, Mayo Clinic, Rochester, Minnesota
Submitted 16 February 2005
; accepted in final form 16 May 2005
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ABSTRACT
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Subendocardial and subepicardial layers of the left ventricle (LV) are characterized with right- and left-handed helical orientations of myocardial fibers. We investigated the origin of biphasic deformations of the LV wall during isovolumic contraction (IVC) and relaxation (IVR). In eight open-chest adult pigs, strain rates were measured along the right- and left-handed helical directions in the LV anterior wall by implanting 16 sonomicrometry crystals. Sonomicrometry strain rates were compared with the longitudinal subendocardial strain rates obtained by tissue Doppler imaging. During ejection and diastolic filling, shortening and lengthening occurred synchronously along the right- and left-handed helical directions. However, during IVC and IVR, the deformations were dissimilar in the two directions. Transmural shortening during IVC occurred along the right-handed helical direction and was accompanied with transient lengthening in the left-handed helical direction. Conversely, during IVR, the LV lengthened along the left-handed helical direction and shortened in the right-handed helical direction. Peak subendocardial strain rates obtained by tissue Doppler imaging during IVC and IVR correlated with corresponding sonomicrometry strain rate values obtained along the right- and left-handed helical directions (r = 0.81, P < 0.001 and r = 0.70, P = 0.001, respectively). Our data suggest that brief counterdirectional movements occur within the LV wall during IVC and IVR. Shortening along the right-handed helical direction is accompanied with reciprocal lengthening in the left-handed helical direction during IVC and vice versa during IVR. The results support an association between asynchronous deformation of subendocardial and subepicardial muscle fibers and the biphasic isovolumic movements observed with high-resolution tissue Doppler imaging.
myocardial contraction; mechanics; echocardiography; tissue Doppler imaging; isovolumic contraction; isovolumic relaxation
DURING A CARDIAC CYCLE, the left ventricle (LV) undergoes a complex three-dimensional deformation and a sequence of movements that are temporally and spatially coordinated. Close analysis of isovolumic contraction (IVC) and relaxation (IVR) phases of the cardiac cycle reveals biphasic movements (11, 12, 22, 26, 31, 32) that may have an important role in presystolic and postsystolic ventricular reshaping (26).
Investigation of the short-lived and highly localized isovolumic movements demands the use of a high temporal and spatial resolution imaging method. Tissue Doppler imaging (TDI) and strain rate (SR) imaging are relatively recent ultrasonographic techniques that measure myocardial velocities and deformation rates, respectively (4, 9, 12, 23, 26, 35, 49). These techniques are suitable for a quantitative assessment of myocardial function within different phases of a cardiac cycle and selectively within myocardial layers (29, 48).
It has been speculated that IVC waveforms may not reflect regional myocardial shortening but, rather, result from oscillations caused by atrial contraction, mitral valve closure, or isometric tensing of the myocardial wall (27, 38). Likewise, no explanation exists regarding the TDI waveforms during IVR. Whether biphasic waveforms could result from functional nonhomogeneity and the anisotropic properties of the myocardial wall remains to be clarified.
Anatomical dissections have highlighted the helical orientation of myocardial fibers: subepicardial fibers spiral along a left-handed helix, whereas the subendocardial fibers course in a nearly orthogonal right-handed helical direction (8, 13, 15, 20, 43). Mathematical models and experimental observations suggest that this complementary arrangement of myocardial fibers provides increased efficiency and contributes to uniform redistribution of stresses and strains across and along the cardiac wall (45). Limited data exist regarding transmural synchrony of deformation during cardiac isovolumic phases. Shortening of the subendocardium precedes that of the subepicardium (2). Initiation of shortening in the subendocardium during IVC would likely result in transient asynchronous motion, since shortening within the isovolumic period would require compensatory expansion in an adjoining segment or the same segment in a different direction. Asynchronous shortening and lengthening of the LV could explain the occurrence of biphasic TDI waveforms during IVC and IVR (12).
The present study investigated the differences in velocity and deformation rates selectively within the subendocardial and subepicardial layers of apical, mid, and basal segments of the LV wall during isovolumic phases. We hypothesized that the regional biphasic motion observed by TDI during IVC and IVR occurs because of two counterdirectional regional deformations in which shortening in one direction is accompanied with reciprocal lengthening in the other direction or vice versa.
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METHODS
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Pilot study.
The right- and left-handed helical orientations of myocardial fibers within the LV anterior wall were studied in six explanted porcine heart specimens. External glass beads were placed on the LV surface to mimic different possible positions of sonomicrometry crystals. The hearts were dissected after boiling in water for 15 min. The muscle fibers were studied after stripping off the visceral pericardium, fat, and superficial blood vessels. The fascicles were peeled off layer by layer and compared with anatomical landmarks and the beads. The term myocardial "fiber" used in this study refers to the macroscopic appearance of muscle bundles or fascicles as defined by Greenbaum et al. (15).
Based on the knowledge gained from the anatomical studies, we practiced implantation, standardization, and optimization of the arrangement of sonomicrometry crystals in four porcine beating hearts in situ to reproducibly record strains from the oblique right- and left-handed helical directions in the subepicardial and subendocardial regions. The anterior wall was divided into apical, mid, and basal segments. Regional linear myocardial deformation was measured using ultrasonic crystals (Sonometrics, London, Ontario, Canada) implanted subendocardially and subepicardially so that they formed corners of quadrangles in each of the three anterior LV segments (Fig. 1). The long axis of the LV was defined by a crystal implanted on the tip of the LV apex and another implanted at the base of the LV near the bifurcation of the left main coronary artery. Each segment had a quadrangular arrangement, one on the subepicardial and the other on the subendocardial region, with each of the sides measuring 1.52 cm in length. Two sides of each quadrangular array of sonomicrometry crystals were parallel to the LV long axis (90°), and the other two were parallel to the circumferential plane (0°). The right and left diagonals defined the directions along 45° and 135°, respectively. It was possible to implant crystals accurately in the subepicardial region since the subepicardial left-handed helical myocardial fiber direction is evident even on the surface of a beating heart. The epicardial crystals were secured with 4-0 polypropylene sutures. For placement of the subendocardial crystal, the end-diastolic thickness of myocardium was measured at the site of implantation using a 13-MHz, high-resolution linear array transducer (GE Healthcare, Milwaukee, WI). The epicardial surface was punctured using a needle with a smaller diameter than the wire of the crystal. The crystals were inserted in the subendocardial region at a desired location using a plastic introducer with a preplaced marker that indicated the desired depth. The relation between the crystal location and subendocardial and subepicardial muscle fiber arrangement was confirmed by dissecting the explanted cardiac specimens. The subepicardial fibers aligned with the left-hand diagonal direction (135°). The subendocardial fiber direction aligned with the crystals placed along the right-hand diagonal direction (45°). The utility of such a grid-like arrangement, which samples oblique deformations from the LV wall within sectors spanning limits of 22.5°, has been previously reported (21).

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Fig. 1. A: position and arrangement of sonomicrometry crystals in the left ventricle (LV). The anterior wall was divided into basal, mid, and apical segments. Sonomicrometry crystals were placed in each segment in a quadrangular array, one in the subendocardial region (crystals shown in blue) and the other in the subepicardial region (shown in red). B: quadrangular grid of 6 pairs of crystals used for recording regional deformations (4 sides and 2 diagonals). C: subendocardial and epicardial myofiber fiber alignment in relation to the sonomicrometry crystals. Subepicardial fibers aligned within 22.5° of the left-hand diagonal direction (135°), whereas the subendocardial fiber aligned within 22.5° of the right-handed diagonal direction (45°).
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Main study.
All animals were treated in accordance with the National Institutes of Health Guide for the Care and Use of Laboratory Animals (NIH pub. no. 85-23, revised 1996), and the study protocol was approved by the institutional animal care and use committee. Eleven adolescent pigs weighing 5060 kg were anesthetized with an infusion of ketamine, fentanyl, and amidate. Electrocardiography acquired from limb leads was monitored continuously throughout the experiment. After the sternotomy, a pericardial cradle was constructed. Introducer sheaths (SciMed, Burnsville, MN) were placed in both common carotid arteries, both internal jugular veins, and the left femoral artery for obtaining blood samples, infusing anesthesia and fluids, monitoring blood pressure, and insertion of catheters. The animals were fully anticoagulated after insertion of crystals (activated clot times > 240 s) with repeated bolus injections of heparin. Three manometer-tipped catheters (Millar Instruments, Houston, TX) were placed (1 each) into the LV, aorta, and left atrium. The LV free wall was divided into apical, mid, and basal segments.
Sonomicrometry.
Regional linear myocardial deformation was measured using 16 (2 mm) ultrasonic crystals (Sonometrics) implanted in groups of four at equal distances to form corners of quadrangles that defined each segment of the LV wall, following the design developed in the pilot studies. Sonomicrometry data were digitized at a sampling frequency of 250300 Hz and analyzed offline with dedicated software (Cardiosoft, Sonometrics). The use of sonomicrometry has been validated for direct measurement of motion in cardiac muscles (9, 14).
Echocardiography.
Echocardiography was performed using a Vivid 7 ultrasound system (GE Healthcare) and a 2.5-MHz transducer. Two-dimensional color Doppler myocardial imaging data were recorded from the LV using apical views at a scan rate of >200 frames/s. For real-time Doppler myocardial imaging scanning, the sector was limited to 30°. The anterior wall was aligned in parallel with the central axis of the transducer, and the velocity scale was optimized to avoid aliasing. Offline measurements were performed with dedicated software (EchoPAC, GE Healthcare) for analyzing regional myocardial velocities and SRs.
Hemodynamic and bipolar electrical activation.
Surface electrocardiography, intracardiac pressures, bipolar regional myocardial electrical potential, and myocardial deformation obtained by sonomicrometry were recorded simultaneously. Heart rate and pressure data were measured and averaged over three continuous cardiac cycles in sinus rhythm for each sampling period.
Four crystals had special bipolar electrodes sealed on the surface. One pair was positioned in the subendocardial and subepicardial region of the apical segment. Another pair was placed in the subendocardial and subepicardial region of the basal segment. Electrical signals from the bipolar electrodes were digitized by an analog-to-digital converter (Sonometrics) and stored in a computer for offline analysis. The onset of the bipolar signals was marked at the steepest portion of the initial deflection of the QRS complex for calculating the electrical activation delay between the subendocardial and subepicardial electrodes.
Sonomicrometry.
Optimal sonomicrometry recordings were present in 23 of the 24 LV segments (7 basal, 8 mid, and 8 apical segments). Linear deformations were obtained from six different locations within each segment (4 sides and 2 diagonals of the quadrangular crystal array), and instantaneous linear deformation rate (natural SR) was calculated from sonomicrometry data tracings. After each study, animals were euthanized, and the hearts explanted and were dissected to confirm that the position of crystals closely matched the fiber direction.
IVC was defined from the LV, aortic, and left atrial pressure tracings as the interval between LV and left atrial pressure crossover to LV and aortic pressure crossover. IVR was defined as the interval between the peak negative LV change in pressure over time to the crossover between LV and left atrial pressure in diastole.
Peak shortening and lengthening SRs were measured for each phase, and the net deformation rate was expressed as the difference of the peak shortening and lengthening SRs.
Regional myocardial velocities and SRs.
Tracings of mean myocardial velocity and SRs were obtained from the basal, mid, and apical segments of the anterior LV wall. Measurements were taken from the subendocardial region with a sampling area of 3 x 3 mm. Longitudinal SR was estimated by measuring the spatial velocity gradient over a distance of 6 mm. The region of interest was tracked spatially throughout the cardiac cycle for obtaining values from the same region of subendocardium and for avoiding sampling of the LV cavity. Peak contraction and expansion waves during different periods of the cardiac cycle were identified. The IVC phase was identified as the interval between the Q-wave and opening of the aortic valve on the two-dimensional echocardiographic cine loop. IVR was defined as the period between the end of the T-wave on electrocardiography and the opening of the mitral valve. The IVC and IVR time phases were extrapolated on the TDI curves for cardiac cycles with similar R-R interval. SR waveforms were biphasic in 18 of the 24 LV segments during IVC and 20 of the 24 segments during IVR.
Statistical analysis.
All data are expressed as means ± SD. After the data for normal distribution were assessed, the SR values obtained in the fiber vs. cross-fiber directions and circumferential vs. longitudinal directions for different phases of the cardiac cycle were compared by using a two-tailed paired t-test. Linear regression was used for comparing SR obtained by TDI and sonomicrometry, and the SRs were expressed with their correlation coefficient (r) and P value. A P value of <0.05 was considered statistically significant.
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RESULTS
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Animals.
Data acquisition in one pig was prematurely aborted due to the occurrence of ventricular arrhythmias. Data from two animals could not be analyzed because of discontinuities in tracings. Hemodynamic, bipolar electrical sonomicrometry and ultrasound data tracings in the remaining eight pigs were used for analysis.
Electrical activation sequence.
The earliest electrical activation within the LV free wall was recorded from bipolar electrodes implanted in the apical subendocardium. The apex-to-base endocardial activation delay measured 8.3 ± 4.2 ms. The transmural delay of electrical activation between the subendocardial and the subepicardial region was 9.2 ± 5.8 ms at apex and 9.6 ± 6.2 ms at base (P > 0.99). The time interval between the onset of electrical depolarization in the apical subendocardial and basal subepicardial region was significantly longer than the time interval between electrical depolarization of the apical and basal subendocardial region (18.5 ± 9.3 vs. 8.3 ± 3.5 ms; P = 0.01) (Fig. 2).

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Fig. 2. Bipolar electrical activation sequence of the LV free wall. Dashed line is a reference line for comparing the steepest portion of initial deflection of the bipolar electric signal. Solid line indicates the time when the electrical activation of both subendocardial and epicardial regions of the anterior wall is completed. Earliest electrical activation is seen in the apical subendocardial region (arrow 1). A, apical subendocardium; B, basal subendocardium; C, apical subepicardium; D, basal subepicardium; ECG, electrocardiogram.
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Transmural deformation phases.
The highest shortening SRs were obtained during IVC from subendocardial crystals aligned along the fiber direction (Fig. 3, Table 1). SRs along the cross-fiber direction were lower and biphasic, with transient lengthening occurring before ejection shortening (Fig. 3). During ejection, the SR waveforms in both directions were monophasic, with the higher magnitude of shortening SR along the fiber direction than in the cross-fiber direction. During IVR, the SR waveforms again became dissimilar in the two directions. The rate of lengthening was higher along the cross-fiber direction, whereas the fiber direction either did not lengthen or showed transient shortening. Subsequently, early and late diastolic lengthening occurred along both fiber and cross-fiber directions but with a rate that was higher along the fiber direction.

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Fig. 3. Top left: ECG trace and pressure measured in the aorta (Ao; brown), LV (black), and left atrium (LA; gray). Bottom left: rate of myocardial deformation measured by sonomicrometry along (red) and across (blue) subendocardial fibers in the mid segment of the left ventricle. Rate of deformation is higher along the subendocardial fiber direction (a). Note the presence of transient expansion along the cross-fiber direction during isovolumic contraction (b). Similarly, during isovolumic relaxation, the rate of lengthening is highest along the cross-fiber direction (c) with transient shortening along the fiber direction (d). Phases of the cardiac cycle are labeled as follows: 1, isovolumic contraction; 2, ejection; 3, isovolumic relaxation; 4, early diastole; and 5, late diastole. Right: photograph of dissected specimen indicating the directions and the location of the sonomicrometry crystals.
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Table 1. Comparison of the rates of myocardial deformation in the fiber and cross-fiber directions measured with sonomicrometry
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Similar to the subendocardium, SRs recorded from subepicardial crystals showed phase variations during the isovolumic phases of the cardiac cycle. During IVC, subepicardial shortening was tethered in the cross-fiber direction, whereas lengthening occurred along the fiber direction (Fig. 4, Table 1). Shortening occurred in both directions during ejection and was followed by the reappearance of phase variations during IVR. The rate of lengthening was higher along the subepicardial fiber direction during IVR. Subsequent phases of early and late diastolic filling produced a higher rate of lengthening along the cross-fiber direction.

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Fig. 4. Left: rate of myocardial deformation measured by sonomicrometry along (red) and across (blue) subepicardial fibers in the mid segment of the LV. Rate of deformation is highest along the cross-fiber direction (a). Note the presence of transient expansion along the fiber direction during isovolumic contraction (b). Similarly, during isovolumic relaxation, the rate of lengthening is highest along the fiber direction (c) with transient shortening along the cross-fiber direction (d). Phases of the cardiac cycle are labeled as follows: 1, isovolumic contraction; 2, ejection; 3, isovolumic relaxation; 4, early diastole; and 5, late diastole. Right: photograph of the dissected specimen indicating the direction of the subepicardial fibers and the location of the sonomicrometry crystals.
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Circumferential vs. longitudinal deformation.
When we compared the deformations in each segment along the longitudinal and circumferential directions of the LV during IVC, the initial rate of deformation was similar for both directions in the subendocardium (Table 2). Subsequently, during ejection, the rate of subendocardial deformation increased along the circumferential direction. IVR and early diastole were also characterized by a higher rate of subendocardial relaxation in the circumferential direction. However, late diastolic relaxation proceeded with a similar rate of deformation in both directions.
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Table 2. Comparison of the rates of myocardial deformation in the circumferential and longitudinal directions of the left ventricular free wall measured with sonomicrometry
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Comparison of SRs obtained from TDI and sonomicrometry.
The subendocardial longitudinal SRs obtained by TDI from the mid and basal segments of the LV were compared with corresponding SRs obtained from sonomicrometry crystals placed in subendocardial fiber and cross-fiber directions (Figs. 5 and 6). During IVC, the peak shortening SR on sonomicrometry was higher along the subendocardial fiber direction and showed good correlation with peak isovolumic shortening SR obtained by TDI. Conversely, the subendocardial rate of relaxation was higher in the cross-fiber direction during IVR and correlated with peak IVR SR obtained by TDI.

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Fig. 5. Comparison of strain rate (SR) waveforms recorded by sonomicrometry and tissue Doppler imaging (TDI). A: SR waveforms recorded along (red) and across (blue) the subendocardial fibers in the basal segment of the LV during isovolumic contraction (IVC). Note the peaks (arrows) of contraction wave along the fiber direction and expansion wave in cross-fiber direction occur in succession. B: photograph of the dissected specimen indicating the direction of the subendocardial fibers (red) and cross-fiber direction (blue). Dashed white line shows the direction of ultrasound beam for measuring longitudinal SRs by TDI. C and D: waveforms on SR and tissue velocity imaging, respectively. Note the presence of biphasic waves during the IVC phase delineated by rectangular boxes.
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Fig. 6. Linear regression analysis and correlation between subendocardial SRs measured by TDI and sonomicrometry from the basal and mid segments of LV anterior wall. , Peak deformation measured from 1 segment of 1 pig heart. A: peak shortening SRs during IVC measured from sonomicrometry crystals placed along the subendocardial fiber direction vs. peak longitudinal shortening SRs obtained by TDI during IVC. B: peak lengthening SRs during IVR measured from sonomicrometry crystals placed along the subendocardial cross-fiber direction and longitudinal SRs obtained by TDI during IVR.
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DISCUSSION
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We demonstrate that biphasic waves, observed by tissue Doppler echocardiography during IVC and IVR in the anterior LV wall, are associated with counterdirectional asynchronous deformations of subendocardial and subepicardial myocardial fibers.
Earlier studies have described the transmural variations in myocardial fiber and cross-fiber strains and documented substantial transmural tethering of fiber deformation (5, 28, 44, 47). This tethering has been used to explain shortening of the subendocardium in its cross-fiber direction during ejection. An association between subepicardial fiber shortening and subendocardial cross-fiber shortening has also been documented (36). Our results are consistent with the presence of extensive transmural tethering, wherein shortening of fibers in outer layers, which lie orthogonal to the subendocardial fibers, influence cross-fiber SRs in the subendocardial region during LV ejection.
Cardiac isovolumic phases are characterized by transient LV reshaping, which produces rapid variations in regional velocities (26). Rushmer (39) showed that LV geometric changes during the initial phases of systole were not isometric but were characterized by abrupt expansion of the external circumference such that the chamber assumed a more spherical configuration with a rise in LV pressure. Subsequent investigations showed that the external LV could assume a spherical (18, 40) or an elliptical configuration (19, 33) and that this change was a function of the LV volume (37). Advent of TDI facilitated quantification of LV function at the regional level, and positive and negative components of myocardial velocities during IVC and IVR were observed in both open-chest experimental animal models and human studies (11, 12, 26, 31). The isovolumic waveforms were, however, shown to be susceptible to temporal averaging and filtering algorithms (16). It remained unclear whether the negative and positive waves reflect random noise, asynchronous deformations, or oscillations arising elsewhere. Lyseggen et al. (27) hypothesized that IVC waves represented vibrations caused by atrial contraction; however, in their study, IVC signals were recorded even in the absence of atrial contractions. It was further suggested that LV isovolumic movements may only indicate vibrations produced by "isometric" tensing of the LV wall (27, 38). However, our observations, like some earlier investigations (18, 19, 33, 39, 40), confirm that cardiac muscle behavior during IVC and IVR cannot be considered isometric. TDI waves, therefore, most likely capture an asynchronous myocardial wall movement that results from nonuniform deformations of different myocardial layers.
For the first time, there is clarification of the selective contributions of the subendocardial and subepicardial layers during IVC and IVR. IVC is initiated with subendocardial fiber shortening, whereas IVR results from subepicardial fiber lengthening. Because the two layers are tethered and have a near orthogonal fiber arrangement, deformation of one layer in the fiber direction influences the cross-fiber deformation of the other layer and vice versa. The observations regarding subepicardium driving relaxation during IVR is in close agreement with a recent study that used cineangiographic analysis of implanted transmural markers in the LV wall and showed considerable transmural heterogeneity in three-dimensional fiber sheet strains in the LV anterior wall during the isovolumic phases of the cardiac cycle. IVR was characterized with significant stretch along the epicardial myofiber direction and accompanied with shortening and shear along the endocardial fiber sheets (1).
We observed transient endocardial cross-fiber expansions during IVC and transient subendocardial fiber shortening during IVR. These movements during IVC and IVR occurred as part of two orthogonal movements of each layer in which shortening in one direction is accompanied with expansion in the other direction and vice versa. These reciprocal movements, seen more commonly near the mid and basal segments, probably reflect a movement that occurs without a change in LV volume, i.e., displacement in one direction is balanced by an opposite displacement in the orthogonal direction. Because Doppler shift is one dimensional, it registers components of the shortening and lengthening vectors that project along the line of ultrasound propagation.
Variations in subendocardial and subepicardial deformations may reflect the differences in physiological properties of the subendocardial and subepicardial myocytes. Subendocardial compared with subepicardial myocytes have a greater force of contraction and operate on a steeper active tension-sarcomere length relationship (7). Functional asynchrony at different depths has also been demonstrated in isolated papillary muscles (41). During isometric contraction, while the segments in the central portion of the muscle shorten, segments near the end either lengthen or show nonuniform patterns of shortening. This nonuniform pattern of segment length change has also been used for explaining how the central segments of papillary muscle continue to shorten beyond the time at which the developed force begins to fall. A "well-organized" functional heterogeneity is probably a characteristic feature and a prerequisite for normal performance of the cardiac muscle (30).
TDI is being increasingly used for guiding resynchronization therapy for heart failure. A recent study (3) indicated that patients undergoing cardiac resynchronization therapy may have near-normal LV endocardial activation times and a conduction block that is primarily transmural. Understanding the electrical and mechanical sequencing across the myocardial layers and how these phenomena associate with velocity and deformation waveforms seen by TDI would help to further refine the cardiac resynchronization therapy.
Isovolumic indices have also been reported to increase the ability to detect ischemic myocardium. The IVC phase during coronary ischemia may be altered by presystolic myocardial lengthening, whereas the IVR phase is characterized by postsystolic contraction (11, 17, 24, 25, 34). Such functional assessment is, however, nonspecific since postsystolic shortening has been found, for example, in hypertensive hearts (6, 42) and in normal individuals (46). Our sonomicrometry recordings indicate that physiological postsystolic shortening results from shortening along the endocardial fiber direction during IVR, particularly near the base. A positional variation of the ultrasonographic scan plane can result in preferential sampling of the shortening vector and explains the recording of postsystolic shortening in normal individuals.
Limitations.
Derumeaux et al. (10) reported a reduction in magnitude of myocardial velocities after opening the chest. Nevertheless, biphasic waves during IVC and IVR have been reported in both open-chest models and clinical studies (11, 12, 26, 31). The variable effects of open-chest surgical preparation and varying loading conditions necessitate further confirmation in future investigations.
The quadrangular grid arrangement resulted in a pair of sonomicrometry crystals sampling SR within 22.5° of the true fiber orientation. Although this angular error would reduce the magnitude of the vector component of the measured deformation, our interpretations regarding the presence of shortening or lengthening should not be affected. SRs measured by sonomicrometry in the apical segment were higher than those measured by TDI. This likely resulted from the curvature of the apical segment and the resulting angle between the Doppler beam and the myocardial wall. Variations in the absolute value of SR measured by the two techniques could also have resulted from subsequent rather than simultaneous data acquisitions by sonomicrometry and echocardiography; this was unavoidable because acoustic signals generated by the two modalities interfere when used simultaneously. In addition, the absolute values of SRs are likely to differ to some extent since sonomicrometry provides the instantaneous vector of deformation, whereas TDI represents only a component of the resultant vector that is subtended along the ultrasonographic scan line.
In conclusion, subendocardial and subepicardial layers of anterior myocardium deform simultaneously during systolic ejection and diastolic filling. During isovolumic phases, however, transitional counterdirectional deformations occur. This is because IVC starts along the subendocardial myocardium, which forms a right-handed helix, whereas IVR is initiated along the subepicardial myocardium, which forms a subepicardial left-handed helix. The features of isovolumic deformation asynchrony confirm our hypothesis and establish the association between asynchronous motion of subendocardial and subepicardial layers and the biphasic isovolumic waves observed on TDI. The results reported here are steps toward improved noninvasive characterization of cardiac mechanical properties during the isovolumic phases of the cardiac cycle.
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GRANTS
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This study was supported in parts by National Heart, Lung, and Blood Institute Grants HL-70363 and HL-68555.
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ACKNOWLEDGMENTS
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We thank Randall R. Kinnick, Steve Krage, and Kay D. Parker for technical and veterinary assistance and William D. Edwards for advice concerning anatomical dissections.
P. P. Sengupta is Recipient of the Young Investigator Award presented at the Young Investigator Award Sessions of the 15th Annual Scientific Sessions of the American Society of Echocardiography, San Diego, CA, June 2630, 2004. GE Healthcare provided technical support.
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FOOTNOTES
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Address for reprint requests and other correspondence: M. Belohlavek, Division of Cardiovascular Diseases, Mayo Clinic Rochester, 200 First St. SW, Rochester, MN 55905 (E-mail: Belohlavek.marek{at}mayo.edu)
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. Section 1734 solely to indicate this fact.
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