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Circulation. 1995;91:1143-1153

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*Cardiomyopathy

(Circulation. 1995;91:1143-1153.)
© 1995 American Heart Association, Inc.


Articles

Effect of Coronary Artery Reperfusion on Transmural Myocardial Remodeling in Dogs

Presented in part at the 67th Scientific Sessions of the American Heart Association, Atlanta, Ga, November 11, 1993, and presented in abstract form in Circulation 1993;88:I-627.

Shiro Ono, MD; Lewis K. Waldman, PhD; Hirohisa Yamashita, MD; James W. Covell, MD; John Ross, Jr, MD

From the Division of Cardiology, Department of Medicine, University of California, San Diego, La Jolla.

Correspondence to John Ross, Jr, MD, Department of Medicine, 0613B, University of California, San Diego, 9500 Gilman Dr, La Jolla, CA 92093-0613.


*    Abstract
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*Abstract
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Background The effects of reperfusion after coronary occlusion on transmural remodeling of the ischemic region early and late after nontransmural infarction must importantly affect the recovery of regional function. Accordingly, analysis of local volume and three-dimensional strain was performed using a finite element method to determine regional remodeling. Systolic and remodeling strains were measured using radiographic imaging of three columns ({approx}1 cm apart) of four to six gold beads implanted across the left ventricular posterior wall in 6 dogs.

Methods and Results After a control study, infarction was produced by 2 to 4 hours of proximal left circumflex coronary artery occlusion followed by reperfusion. Follow-up studies were performed at 2 days, 3 weeks, and 12 weeks with the dogs under anesthesia and in closed-chest conditions. Biplane cineradiography was performed to obtain the three-dimensional coordinates of the beads. At 2 days, end-systolic strains were akinetic with loss of normal transmural gradients of shortening and thickening. Remodeling strains (RS) were determined by use of a nonhomogeneous finite element method by referring the end-diastolic configuration during follow-up studies to its control state at matched end-diastolic pressures and heart rates. Tissue volume at 2 days increased substantially, more at the endocardium (30±7%) than at the epicardium (5±12%, P<.01); the increase was associated with an average RS in the wall-thickening direction of 0.18±0.15 (P<.01) with all other RS near zero. At 12 weeks systolic function partially recovered, with normal wall thickening in the epicardium (radial strain, 0.081±0.056 [control] versus 0.113±0.088 [12 weeks]) but with dysfunction in the endocardium (0.245±0.108 [control] versus 0.111±0.074 [P<.01] [12 weeks]). This inability of the inner wall to recover function may be related to increased transmural torsional shear and negative longitudinal-radial transverse shear in the inner wall. Volume loss occurred at 12 weeks in the endocardium (-36±16%) corresponding to transmural gradients in longitudinal RS and both transverse shear RS. Negative longitudinal RS was greater at the endocardium (-0.20±0.10) than at the epicardium (-0.06±0.05, P<.01).

Conclusions These results indicate the presence of marked subendocardial edema 2 days after reperfusion following 2 to 4 hours of coronary occlusion. At 3 months after reperfusion, however, there was volume loss in the inner wall due to shrinkage along the myofiber direction with reduced transmural function and loss of longitudinal shortening, while both tissue volume and function recovered completely in the outer wall.


Key Words: myocardial contraction • myocardial infarction • edema • radiography


*    Introduction
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up arrowAbstract
*Introduction
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down arrowResults
down arrowDiscussion
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Coronary artery reperfusion has several favorable effects on left ventricular remodeling and function after acute myocardial infarction. In experimental animals the effects of coronary occlusion followed by reperfusion vary by species,1 but reperfusion before infarction is complete results in salvage of myocardial tissue and variable recovery of regional2 3 4 5 and global6 function, with prevention of infarct expansion.7 Also, clinical studies8 9 10 11 have demonstrated that early reperfusion by thrombolysis after acute coronary artery occlusion reduces infarct size and improves regional wall motion and left ventricular function. In the dog, the outer wall is usually spared by early reperfusion,12 13 and although late recovery of overall regional function in the ischemic zone after coronary artery reperfusion has been demonstrated, the transmural variation of functional recovery is uncertain. It has been speculated that sparing of the outer wall might play a role in remodeling after reperfusion of the myocardium, and recent studies from our laboratory have shown myocardial cell hypertrophy of surviving regions of the infarcted wall after reperfusion, particularly in the outer wall,14 suggesting that a hypertrophic response might contribute to late recovery of regional function in the ischemic zone.

Histological techniques and uniaxial dimension measurements, however, do not directly address the questions of whether regional tissue volumes change, what the time course of such changes is, and whether reperfused myocardium is functional in directions other than the single measured dimension. In this study, we characterized regional transmural deformation in the reperfused myocardium by measuring three-dimensional finite strains. This method can be used to directly address the time course of changes in tissue volume using local material markers as well as to determine the temporal course and directions of both systolic and diastolic (remodeling) strains. To measure regional three-dimensional finite strains, three columns of gold beads were implanted in dogs across the left ventricular posterior wall by use of the technique of Waldman and coworkers.15


*    Methods
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up arrowIntroduction
*Methods
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The animals in this study were handled according to the animal welfare regulations of the University of California, San Diego, and the guidelines of the American Association for Accreditation of Laboratory Animal Care, which are in accord with the animal use principles of the American Heart Association. The experimental protocol was approved by the Animal Subjects Committee of the University of California, San Diego.

Animal Preparation
Twenty-six mongrel dogs of both sexes, weighing between 22.6 and 42.0 kg (mean weight, 31.0 kg), were used in this study. Results reported are from 6 animals for which complete data were available at control and after 48 hours, 3 weeks, and 3 months of reperfusion. There were 3 operative deaths at the initial surgery, and 4 animals died within the first postoperative week (2 were found dead and 2 had thromboembolism). Five animals exhibited no dyskinesia during the coronary occlusion and their data were excluded; 4 died of ventricular arrhythmia during coronary occlusion or reperfusion, and 4 died or were euthanized late (infection, instrumentation failure, death of unknown causes). On the day of the initial surgery, dogs were premedicated with morphine (10.5 mg/kg IM) and anesthetized with sodium thiamylal (20 mg/kg IV). After endotracheal intubation, anesthesia was maintained with isoflurane (1% to 2%). Arterial blood gases were measured repeatedly during the surgery to keep PO2 above 150 mm Hg and PCO2 and pH within the physiological range. A left thoracotomy was performed at the fifth intercostal space, and the pericardium was opened. A high-fidelity micromanometer (Konigsberg P7) and a Tygon fluid-filled catheter (diameter, 1.27 mm) were inserted through a stab wound in the apex to measure left ventricular pressure. The zero-pressure reference of the fluid-filled catheter was taken at the level of the right atrium, and the micromanometer was calibrated by matching the left ventricular pressure with the fluid-filled catheter (Statham P-23Db). A 2-cm length of the proximal left circumflex coronary artery was dissected free to place a Silastic hydraulic cuff occluder and a Doppler ultrasonic flowmeter probe around the artery. All visible epicardial coronary collateral vessels between the left anterior descending artery and the circumflex artery below the coronary occluder were ligated. Bipolar pacing electrodes constructed from Teflon-coated stainless steel wire were sutured to the left atrial appendage.

Three columns of five gold beads (diameter, 0.9 mm) were implanted in the posterior free wall of the left ventricle using the technique described by Waldman and coworkers.15 Five additional reference markers (gold beads 1.5 mm in diameter) were sutured to the epicardium: three directly above the three columns, one at the bifurcation of the left coronary artery (base reference marker), and one at the apical dimple (apex reference marker), as shown in Fig 1ADown. In 17 dogs one pair of ultrasonic crystals was implanted circumferentially in the posterior wall near the three columns of beads for assessment of wall motion abnormality during coronary occlusion. The pericardium was left open, and all wires and catheters were exteriorized to the back of the animal. The thorax was closed and the animal was allowed to recover.



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Figure 1. Schematic diagrams showing the experimental setup (A), the tetrahedral method for computing regional volume changes from myocardial markers (B), and the use of a transmural bead set for three-dimensional finite strain measurement with the finite element method (C). LCx indicates left circumflex coronary artery; LAD, left anterior descending coronary artery; and LV, left ventricular.

Experimental Protocols
Control studies were performed 1 to 2 weeks after instrumentation surgery, when the animal had recovered fully. On the day of the study, animals were anesthetized with sodium thiamylal (20 mg/kg IV). After endotracheal intubation, anesthesia was maintained with halothane (0.8% to 1.0%) during the study. High-speed biplane cineradiography (120 frames/s) was performed to image the bead movements during the cardiac cycle. Cine cameras were free running, and the maximum temporal difference between the anteroposterior and lateral cameras was 4 milliseconds. Respiration was halted at end-expiration while simultaneous recordings of ECG, left ventricular pressure, left ventricular dP/dt, and camera shutter marks were also made. Data were recorded on an eight-channel chart recorder at the speed of 200 mm/s (Gould, Brush), and digitized data (sampling interval, 4 milliseconds) were simultaneously recorded on a microcomputer. In the control study, data were taken at three different left ventricular end-diastolic pressures to facilitate matching of end-diastolic pressure between control and later studies. End-diastolic pressure was increased by intravenous infusion with dextran (70% in 0.9% NaCl). At the end of each study, a calibration phantom was imaged for subsequent reconstruction of three-dimensional bead coordinates from the biplane views.

Within a week after the control study, circumflex coronary occlusion was performed after analgesia and sedation with acepromazine (0.3 mg/kg IM) and buprenorphine (0.3 mg/kg IM). Before coronary occlusion, a bolus of lidocaine (40 to 50 mg IV) was injected through the left ventricular catheter and then continuously infused at 1 to 2 mg/min to minimize ventricular arrhythmias. Coronary artery occlusion was performed by inflating the Silastic cuff occluder with air or mineral oil. The initial occlusion was maintained for 2 hours while ECG, left ventricular pressure, segment length, and coronary flow were simultaneously monitored. If wall motion in the ischemic region was not severely hypokinetic at 2 hours after coronary occlusion, the occlusion was extended to 3 or 4 hours to induce myocardial infarction. Before reperfusion, a bolus of lidocaine (20 to 40 mg) was administered, and the atrium was paced at a rate of 150 beats per minute for overdrive suppression of ventricular arrhythmias during the first 5 minutes after reperfusion. Two hours after reperfusion, or after a stable condition was achieved, animals were transferred to a recovery cage. Tocainide (600 mg/day PO) was given for the first 3 days.

Follow-up studies were performed at 2 days and at 3, 8, and 12 weeks after reperfusion. Data are presented in this manuscript from 6 animals in which suitable data were available at each time point. In each study, the animals were again anesthetized and ventilated with a halothane mixture. High-speed cineradiography and hemodynamic data acquisition were repeated with left ventricular end-diastolic pressure adjusted as described above to match that of the control study.

The animals were euthanized after 12 weeks of reperfusion. With the dog under general anesthesia, as described above, the chest was opened by means of median sternotomy. The heart was arrested with an injection of saturated KCl or by hypoxia and perfused retrogradely from the aorta with glutaraldehyde (2% in buffer) at a constant intraventricular pressure of 10 to 12 mm Hg. After the heart was fixed, it was excised for morphological analysis. We carefully examined the position of beads using fluoroscopy, and excluded beads in the papillary muscle from the strain analysis.

Morphological Analysis
The fixed left ventricle was cut transversely perpendicular to the left ventricular long axis into rings approximately 1 cm thick. Muscle and scar areas were traced on sheets of clear plastic, and slices that contained the bead set were measured by planimetry. The degree of infarction was expressed as the percentage of total left ventricular ring area that was scar.

A transmural block of tissue was then cut across the ventricular wall from the center of the region in which beads had been implanted. The block was embedded in paraffin, sliced at a thickness of 10 µm, and stained with Milligan trichrome stain for analysis of scar formation. Percent scar area was measured by a point-counting method.

Strain and Tissue Volume Analysis
Corresponding images of the calibration phantom were used to compute a perspective transformation, which was then applied to the corresponding two-dimensional coordinates of implanted myocardial markers to reconstruct their three-dimensional coordinates.15 The three-dimensional x-ray coordinates of the beads were transformed to a right-handed Cartesian cardiac coordinate system defined by the apex and base reference beads and the three surface beads above each column.15 16 The cardiac coordinate system consists of three mutually orthogonal coordinates (circumferential, longitudinal, and radial) at the center of the triangle formed by the surface beads above the three columns. The lateral and anterior-posterior cineradiographic views of the end-diastolic and end-systolic frames were separately projected onto a digitizing pad (Sketchpro, Hewlett-Packard) to obtain two-dimensional bead coordinates. End-diastole was defined as the time immediately following the A wave coincident with rapid onset of a positive left ventricular dP/dt, and end-systole was defined as 20 milliseconds before peak negative dP/dt. Regional myocardial volumes were determined from tetrahedral volumes defined by four noncoplanar markers as described previously15 (Fig 1BUp). Tetrahedra were selected with the criteria of being 2.0 to 4.0 mm in radial height and 15 to 70 mm3 in volume in the end-diastolic reference state of the control study, and the same tetrahedra were used to determine the regional myocardial volumes throughout the study in each animal. Tetrahedra whose centroids were located 0% to 30% of the distance from the epicardium were averaged to represent epicardial volume, and tetrahedra with depths of 31% to 60% and 61% to 90% were averaged for midwall and endocardial volumes, respectively.

For calculating systolic and remodeling strains, we followed a finite element method that can be used to determine continuous, nonhomogeneous strain variations across the wall from the same bead coordinates17 (Fig 1AUp). In this approach, each bead was assigned to a material point on the element and the element was fitted to the coordinates of the set of markers using a least-squares method, with a bilinear variation in the plane of the wall and a quadratic polynomial basis function in the transmural direction. Finally, the single bilinear-quadratic lagrangian finite element incorporated coordinate data from the entire bead set, and strains were determined from the deformation of the finite element between a given reference and deformed states. The mean results for transmural distributions of strain were obtained at seven discrete locations spanning the entire transmural bead set. Normal strains expressed by E11, E22, and E33 represent extensional deformations along the circumferential, longitudinal, and radial directions, respectively. Shear strains (E12, E13, and E23) represent changes in angle between pairs of line segments in each of the three respective mutually orthogonal coordinate planes; for example, if two line segments are initially orthogonal and parallel to the circumferential and longitudinal directions and the angle between them becomes acute during a deformation, positive E12 has occurred. Systolic strains were calculated by relative changes of the end-systolic configuration (deformed state) from the end-diastolic configuration (reference state) in the same cardiac cycle. To determine the change in the end-diastolic configuration between the control and subsequent studies, remodeling strains were calculated by choosing end-diastole of the control study as the reference state and end-diastole of a later study as the deformed state at the same end-diastolic pressure.

Statistical Analysis
All values are expressed as mean±SD. Hemodynamic variables were analyzed with a one-factor repeated-measures ANOVA (P<.05 considered significant) in which values at 2 days, 3 weeks, and 12 weeks were compared with control values. There were no significant differences in any hemodynamic indexes throughout the study (Table 1Down). To compare strains and tissue volumes over time between animals, it was necessary to compare them at the same depth. Volumes of tetrahedra determined directly from the coordinates of four beads were grouped according to the percent wall thickness calculated from the distance of the centroid of the tetrahedron from the epicardium and the wall thickness at 12 weeks. Strains and volume changes calculated using the finite element method were grouped at corresponding Gauss points of the finite elements. The bases of the elements averaged 95.4% of the total wall thickness (mean, 11.2 mm) determined at postmortem. Any bead accidentally placed in a papillary muscle was ignored. Systolic and remodeling strains were analyzed with a two-factor ANOVA. Strains were compared at three depths: midwall (MID=50% of wall thickness), subendocardium (ENDO=97% of wall thickness), and subepicardium (EPI=3% of wall thickness). Systolic strains at 2 days, 3 weeks, and 12 weeks were compared with those at control. Here, average or mean transmural values were compared as well as strains at the three depths. The significance of differences of remodeling strains from zero was also analyzed with t tests. Bonferroni corrections were applied to account for multiple comparisons.


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Table 1. Summary of Hemodynamics


*    Results
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Systolic Strains
Control
End-systolic circumferential strain (E11) under control conditions in the region to be rendered ischemic was negative, indicating shortening, as shown in Fig 2Down from a representative animal. Longitudinal strain (E22) was also negative (Fig 2Down), and there was a significant transmural gradient for this component, showing greater shortening with depth (Table 2Down: mean, -0.041 at EPI versus -0.087 at ENDO). Average radial strain (E33) was positive (Fig 2Down) and also exhibited a significant transmural gradient, with greater thickening toward the inner wall (Table 2Down: mean, 0.081 at EPI versus 0.245 at ENDO). Mean transmural in-plane or torsional shear (E12) and both transverse shear strains (E13 and E23) were small and positive (Table 2Down). E12 showed a significant transmural gradient, becoming more positive with depth (Table 2Down: mean, -0.005 at EPI versus 0.040 at ENDO), but there were no significant transmural gradients in either transverse shear strains, both with means of 0.04.



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Figure 2. Plots of end-systolic normal and shear strains at control, 2 days, and 12 weeks after reperfusion in 1 animal (see time legend in upper left panel). At control, greater shortening, as indicated by more negative circumferential (E11) and longitudinal (E22) strains, and greater thickening, as shown by more positive radial strains (E33), were found in the subendocardium (100% depth), with substantial transmural gradients in longitudinal and radial strains. At 2 days after reperfusion, function was akinetic, as indicated by strain components with magnitudes near zero. At 12 weeks after reperfusion, transmural variations in shortening and thickening were small. For longitudinal strain, progressive systolic dysfunction was observed in the subendocardium. In-plane shear strain (E12) became substantially more positive, and one of the transverse shear strains (E23) developed a substantial transmural gradient with more negative shear toward the endocardium. Normal strains, left column; shear strains, right column.


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Table 2. Summary of End-Systolic Strains at Three Depths (EPI, MID, and ENDO)

Two Days After Reperfusion
Compared with control, overall function as indicated by the three normal strains (E11, E22, and E33) at 2 days after reperfusion was severely depressed, with loss of the transmural gradients of E22 and E33, as shown in 1 animal (Fig 2Up). Mean values of transmural E11, E22, and E33 were close to zero, indicating akinesis (Table 2Up). Although there were no significant changes in mean shear strains, significant transmural gradients were observed in both in-plane and transverse shear strains. E12 and E13 showed more positive shear with depth, and E23 was more negative with depth. Both transverse shear strains indicated substantially smaller or more negative values than control, particularly in the inner wall (Table 2Up: 0.021 at 2 days versus 0.061 at control for E13 at ENDO; -0.036 at 2 days versus 0.033 at control for E23 at ENDO).

Three Weeks After Reperfusion
Normal strains indicated partial recovery at 3 weeks after reperfusion, and compared with 2 days there was significant shortening and wall thickening (Table 2Up). Mean E11 (-0.033) and E33 (0.082) were still significantly depressed compared with control, with loss of the transmural gradient in E33. E11 in the outer half of the wall was depressed (Table 2Up: -0.012 at 3 weeks versus -0.059 during control at EPI; -0.016 at 3 weeks versus -0.084 during control at MID), while E33 in the inner half had recovered only partially (0.082 at 3 weeks versus 0.177 during control at MID; 0.083 at 3 weeks versus 0.245 during control at ENDO). Average E22 (-0.039) recovered to near the control level but was still significantly depressed near the endocardium (-0.052 at 3 weeks versus -0.087 at control). Mean in-plane shear, E12, increased significantly (0.053 at 3 weeks versus 0.016 at control), with loss of the transmural gradient. Mean E13 and E23 showed no significant changes, but near the endocardium both transverse shears were smaller or more negative, similar to observations at 2 days (Table 2Up: 0.017 at 3 weeks versus 0.061 at control for E13 and -0.011 at 3 weeks versus 0.033 at control for E23). At 3 weeks after reperfusion, shear in the longitudinal-radial plane (E23) continued to exhibit a negative transmural gradient.

Twelve Weeks After Reperfusion
At 12 weeks after reperfusion (Fig 2Up and Table 2Up), average circumferential shortening (E11) was not significantly different from control, but longitudinal function (E22) was akinetic, shortening having been lost in that direction that had partially recovered at 3 weeks. Compared with control, both in-plane normal strains (E11 and E22) showed normal function near the epicardium but significantly depressed function in the inner half of the wall (-0.035 at 12 weeks versus -0.095 during control at ENDO for E11; 0.010 at 12 weeks versus -0.087 during control at ENDO for E22). Circumferential shortening (E11), which had recovered near the endocardium after 3 weeks, was again abnormal. Average radial strain (E33) also decreased significantly (0.098 at 12 weeks versus 0.169 at control) with loss of normal wall thickening near the endocardium and at midwall (0.111 at 12 weeks versus 0.245 during control at ENDO), but E33 near the epicardium completely recovered. Mean E23 decreased (-0.020 at 12 weeks versus 0.040 during control), being more negative in the inner half of the wall (-0.019 at 12 weeks versus 0.042 during control at MID; -0.060 at 12 weeks versus 0.033 during control at ENDO), resulting in a negative transmural gradient at 12 weeks (0.018 at EPI versus -0.019 at MID and -0.060 at ENDO) similar to that at both 2 days and 3 weeks after reperfusion.

Remodeling: Tissue Volume Changes
Tissue volume changes were determined in two ways from the three-dimensional bead positions (see "Methods"): by use of local tetrahedral volumes or of the finite element method. Average results from both methods are given in Table 3Down. Transmural trends using the finite element method, shown in Fig 3Down, were also used because of the added capability to interpolate at more depths.


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Table 3. Summary of Percent Changes of Regional Myocardial Volumes at Three Depths (EPI, MID, and ENDO)



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Figure 3. Plot of percent change of regional myocardial volumes, determined by the finite element method, at 2 days and 12 weeks after reperfusion. At 2 days, greater increases in volumes were found in the subendocardium, with a substantial transmural gradient, suggesting that more severe myocardial edema occurs in the subendocardium. Later, large volume losses were found in the subendocardium, with preservation of subepicardial tissue volumes.

At 2 days after reperfusion, regional myocardial volumes were increased transmurally with a significant transmural gradient. Average increases in myocardial volumes were 18% using the finite element method (Table 3Up, top) and 22% using the tetrahedral method (Table 3Up, bottom). Increases in regional volumes were significantly greater with depth (Table 3Up, top: 5.4% increase at EPI versus 19.0% at MID and 29.5% at ENDO).

At 3 weeks, marked decreases in volume were observed in the subendocardium with a significant transmural gradient (2.0% decrease at EPI versus 14.6% at MID and 33.0% at ENDO). At 12 weeks, changes of regional volumes showed trends very similar to those at 3 weeks, with a similar transmural gradient (2.0% increase at EPI versus 14.4% decrease at MID and 36.3% decrease at ENDO) (see also Fig 3Up). Further decreases in volumes were observed in the subendocardium, while subepicardial volumes were preserved.

Remodeling: Finite Strains
Remodeling strains were calculated from finite elements fitted to end-diastolic marker coordinates at control (reference configuration) and at 2 days, 3 weeks, and 12 weeks after reperfusion. Two-dimensional projections of the marker positions and fitted finite elements in one experiment are shown (Fig 4Down). At day 2, wall thickness was increased, with an increase in myocardial volume. In contrast, at week 12, endocardial and midwall tissue shrinkage was observed.



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Figure 4. Projections of three-dimensional end-diastolic finite elements fitted to marker positions at control, 2 days, and 12 weeks after reperfusion in one animal. Upper surface is epicardium. Note significant wall thickening at 2 days and subendocardial shrinkage at 12 weeks.

Remodeling strains at 2 days and 12 weeks after reperfusion are shown for a representative animal in Fig 5Down and for all animals in Table 4Down.



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Figure 5. Plots of remodeling normal and shear strains at 2 days and 12 weeks after reperfusion in 1 animal (see time legend in upper left panel). At 2 days after reperfusion, a large increase in radial strain (thickening) was observed, particularly in the subendocardium. At 12 weeks, circumferential and longitudinal strains became negative, particularly in the subendocardium, indicating substantial tissue shrinkage; in addition, substantial gradients in both transverse shear remodeling strains had developed. Normal strains, left column; shear strains, right column.


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Table 4. Summary of End-Diastolic Remodeling Strains at Three Depths (EPI, MID, and ENDO)

Two Days After Reperfusion
Average circumferential (E11) and longitudinal (E22) remodeling strains were not significantly different from zero and were transmurally uniform at 2 days after reperfusion (Fig 5Up, Table 4Up). Average radial strain (E33), which indicates changes in local wall thickness, was positive and significantly different from zero (Table 4Up: mean E33, 0.185). E33 also indicated an increase in thickening with depth, resulting in a large transmural gradient (0.039 at EPI versus 0.186 at MID and 0.330 at ENDO). Mean in-plane and transverse shear strains were small and not significantly different from zero. However, remodeling shear in the circumferential-radial plane (E13) developed a significant transmural gradient (-0.009 at EPI versus 0.015 at MID and 0.055 at ENDO).

Three Weeks After Reperfusion
In contrast to 2 days after reperfusion, both E11 and E22 became negative and were significantly different from zero (Table 4Up: mean E11, -0.114; mean E22, -0.115) at 3 weeks after reperfusion, indicating shrinkage in both directions. E22 became more negative at all depths compared with 2 days after reperfusion and developed a large transmural gradient (-0.052 at EPI versus -0.118 at MID and -0.163 at ENDO). E33 was positive and significantly different from zero (mean E33, 0.159). Compared with 2 days after reperfusion, there were significant increases in epicardial E33 at 3 weeks after reperfusion (0.174 versus 0.039 at 2 days) and decreases in endocardial E33 (0.190 versus 0.330 at 2 days), with a loss of the transmural gradient. E12 became uniformly negative across the wall and on average was significantly different from zero (mean E12, -0.030). Although there were no significant differences from zero in mean transverse shear strains, E23 developed a very large transmural gradient, changing sign near midwall (-0.064 at EPI versus 0.033 at MID and 0.145 at ENDO).

Twelve Weeks After Reperfusion
Transmural trends in one experiment are shown in Fig 5Up. Although the circumferential shrinkage (E11) observed at 3 weeks after reperfusion was less marked by 12 weeks, mean E22 was still significantly different from zero, indicating additional longitudinal shrinkage (Table 4Up: mean E22, -0.144), and was more negative at midwall and the subendocardium, with a significant transmural gradient similar to but even larger than that observed at 3 weeks after reperfusion (-0.065 at EPI versus -0.154 at MID and -0.197 at ENDO). E33 indicated substantial thickening (mean E33, 0.155) with no transmural gradient, but a tendency for further increases in epicardial E33 (0.228) and decreases in endocardial E33 (0.121) was observed at 12 weeks after reperfusion compared with 3 weeks.

On average, E12 was significantly different from zero (mean E12, -0.041) and was uniformly negative across the wall, with values similar to those at 3 weeks. Transverse shear strains at 12 weeks after reperfusion showed trends similar to those at 3 weeks. Although E13 was not significantly different from zero, a more positive epicardial E13 and negative endocardial E13 resulted in a significant transmural gradient (0.110 at EPI versus 0.073 at MID and -0.055 at ENDO). On average E23 was positive and significantly different from zero (mean E23, 0.068), and it maintained the large transmural gradient observed at 3 weeks after reperfusion (-0.022 at EPI versus 0.063 at MID and 0.172 at ENDO). By computing principal remodeling strains and associated principal directions from the average remodeling strain components (Table 4Up), we found maximum shrinkage in the subendocardium, as indicated by the most negative principal value, of -0.274 with an orientation of 85° from circumferential. The relation between a principal stretch and strain is calculated from the equation {lambda}=(2E+1)1/2; this corresponds to a stretch ratio of 0.672 or a shrinkage of 32.8%, occurring predominantly in the plane of the myofibers and directed longitudinally.

Histology
Global scar area in myocardial slices containing the beads was from 4.5% to 14.2% (average, 7.9±3.5%). Histological examination indicated that scar formation was least in the subepicardium and greatest in the subendocardium: 4.9% in the subepicardium, 13.7% in the midmyocardium, and 44.1% in the subendocardium.


*    Discussion
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up arrowMethods
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*Discussion
down arrowReferences
 
The present study demonstrated for the first time that function and tissue volume recover to normal values in the outer infarcted reperfused myocardium while the inner wall of the infarcted area undergoes remodeling, which, after initial marked edema, is associated with tissue loss and reduced systolic function. This remodeling process is clearly different from that recently observed in a pig model of coronary occlusion without reperfusion.18 In that model the wall thinned, and there was extensive scar (80% at the endocardium) and little return of function in either the outer or inner wall. In the present study, 2 days after myocardial infarction and reperfusion in the dog, myocardial tissue volume was substantially increased and systolic function was absent. After 12 weeks, epicardial tissue had thickened while almost normal systolic function was regained. The endocardium remodeled in a unique fashion: there was significant tissue loss, with fibrosis and shrinkage in the plane of the myofibers, and the wall thickened somewhat. Substantial shearing deformation was also involved in the remodeling process, including uniform negative torsional shear, an overall increase in longitudinal-radial shear, and large gradients in both transverse shear remodeling strains, especially in the longitudinal radial plane. Therefore, previous uniaxial measurements could substantially underestimate the extent of remodeling. Moreover, complex deformations involving both torsion and bending may be involved in the remodeling process. Endocardial function remained depressed because of a loss of the normal transmural gradients of systolic shortening and thickening and the development of negative systolic shear in the longitudinal radial plane after 12 weeks of reperfusion.

Tissue Remodeling
Forty-eight hours after reperfusion, regional myocardial volumes were increased at all sites, with a large transmural gradient increasing more toward the subendocardium. Cell swelling, vascular endothelial damage, and interstitial edema have been observed in reperfused myocardium in previous studies.19 20 21 22 23 Whalen et al22 demonstrated that tissue water in the ischemic myocardium rapidly increased after reperfusion and that tissue edema was primarily the result of cell swelling. Jennings et al24 demonstrated a transmural difference of tissue water in the reperfused myocardium, there being more water in the endocardial tissue, a finding similar to ours. During coronary occlusion, endocardial ischemia is usually more severe than epicardial ischemia.2 25 26 A likely mechanism for the nonuniform tissue edema is that more severe ischemia in the subendocardium causes more severe cell damage after reperfusion in that region.

Reconfiguration of the ischemic myocardium with reperfusion has not been examined in detail. In previous studies using uniaxial dimension gauges, it was demonstrated that a significant increase in end-diastolic wall thickness in the ischemic zone was observed immediately after reperfusion, whereas the change in end-diastolic segment length with reperfusion was small.2 3 14 Villarreal et al27 assessed transmural myocardial deformation during acute ischemia by measuring three-dimensional finite strains and demonstrated a significant passive reconfiguration that varied transmurally with lengthening in the epicardial tangent plane, and wall thinning increased from epicardium toward endocardium. In contrast, a much different reconfiguration with tissue edema occurred after reperfusion compared with acute ischemia in the present study. The remodeling strains showed that greater increases in radial lengths with depth occurred without significant changes in circumferential and longitudinal lengths at 2 days after reperfusion, indicating greater increases in end-diastolic wall thickness with depth. This transmural trend in radial strain was similar to that of the regional myocardial volume changes, so the local increases in myocardial volumes were caused primarily by corresponding increases in local wall thickness. May-Newman et al28 found large radial strains with a transmural gradient (ENDO>EPI), as well as a positive transverse shear strain (E13), due to perfusion without ischemia in an unloaded isolated heart model, results similar to those in the present study. Why the tissue edema with reperfusion develops predominantly in the radial direction after reperfusion is uncertain. One possible mechanism is a change in the collagen matrix with ischemia. Some studies have demonstrated breakage of the collagen network after ischemia.29 30

Theroux et al2 demonstrated progressive decreases in end-diastolic length in ischemic segments after reperfusion, compatible with tissue loss, and some improvement in shortening. However, subendocardial tissue loss with reperfusion seems to be less than that with permanent coronary occlusion.31 Similar late subendocardial tissue loss with reperfusion was observed in a study by Lavallee et al.4 In sustained coronary occlusion in the pig, tissue volume loss in the inner wall averaged 60%, nearly twice the amount observed in the present study.18 Sasayama et al32 reported disproportional late shrinkage between the subendocardial segment and the wall thickness after chronic circumflex artery occlusion, suggesting the possibility of compensatory hypertrophy of residual myocytes in the ischemic zone. Experimentally, cellular hypertrophy was shown in the noninfarcted and marginal regions in rats with transmural infarction,33 34 and Kambayashi et al14 recently demonstrated larger cross-sectional areas of cells in reperfused than in nonischemic myocardium, concluding that hypertrophy of surviving regions of the infarcted wall, particularly the outer wall, might play a role in the late partial recovery of regional function. In the present study, marked reductions of regional myocardial volumes in the subendocardium, compatible with subendocardial tissue shrinkage, were observed from 3 through 12 weeks after reperfusion. There was no significant change of subepicardial tissue volume at 12 weeks. Thus, tissue volumes in this reperfusion model were substantially preserved compared with those in the model of permanent coronary occlusion.18 However, the significant shrinkage in the fiber plane in the subepicardium probably indicates that there was a combination of tissue loss with significant hypertrophy.

Analysis of remodeling strains gives more detailed information about the process of tissue shrinkage and hypertrophy with reperfusion after coronary occlusion. In a model of volume overload,35 uniform increases in myocardial mass were observed across the wall, and end-diastolic growth or remodeling strains obtained in the hypertrophic state with respect to the control state showed positive strains in both the circumferential and longitudinal components with small radial growth strains. These results indicated that remodeling due to volume overload was predominantly parallel to the epicardial tangent plane. In contrast, quite a different growth or remodeling process with ischemia and reperfusion was found in the present study. In-plane radial strains, on average negative, and radial strains, on average positive, were observed transmurally at 12 weeks after reperfusion, accompanied by positive transverse shear (E23). Longitudinal strain was more negative than circumferential strain, and showed a large transmural gradient, with much greater shrinkage at the endocardium. The general pattern of in-plane shrinkage and tissue loss was similar to that observed in the pig without reperfusion,18 but the shrinkage direction was substantially different, being much more longitudinal. Whether this is due to species differences or the presence of viable myocytes and extracellular matrix after reperfusion is not possible to determine. However, the latter explanation seems more likely because there were still myocytes in the subendocardial tissue and because the contraction direction corresponded much more to the local architecture seen at control than it does in the pig without reperfusion. Moreover, the modest transmural increase in wall thickness is unique to this model.

Recovery of Systolic Function
The control measurements in the present study showed greater systolic shortening and thickening in the inner layers, compatible with results of previous studies,36 37 38 39 and normal transmural strain gradients were observed, as in previous studies.15 40

A number of studies have demonstrated postischemic dysfunction after coronary reperfusion in various experimental settings, as discussed earlier, and it has generally been accepted that in the dog model, reperfusion after 20 minutes to 3 hours of coronary occlusion can salvage subepicardial tissue despite subendocardial infarction.1 In the present study at 2 days after reperfusion, there was no active shortening or thickening in the ischemic zone and there was loss of normal transmural strain gradients, in agreement with the echocardiographic data of Ellis et al41 ; these investigators reported that active wall thickening assessed by serial two-dimensional echocardiography was not observed until 72 hours of reperfusion after 2 hours of coronary occlusion.

Late partial recovery of systolic function after reperfusion was observed in the ischemic zone, as described previously,2 3 4 5 14 42 43 and even after permanent coronary occlusion some recovery of function has been seen in the ischemic region.31 32 In the present study, transmural systolic function recovered partially by 12 weeks after reperfusion, but the degree of recovery of systolic function in each strain component was not uniform; the circumferential and radial strains showed gradually progressive recovery but wall thickening in the inner wall remained depressed compared with control. Longitudinal strain never recovered and at 12 weeks was essentially akinetic across the wall. The loss of longitudinal shortening in the inner wall implies a loss of fiber shortening, which in turn probably reduces the normal longitudinal-radial shear. Because this shearing deformation contributes to normal wall thickening,44 its reduction may be responsible for decreased wall thickening in the inner wall. Fibrosis and scarring may constrain myocardial sheets from moving relative to one another,45 causing this abnormal shearing. In combination with loss of fiber shortening, this abnormal shear may provide an explanation for the severe loss of endocardial wall thickening and regional function.

Limitations
Technical limitations of three-dimensional strain analysis have been discussed previously.15 17 46 The resolution of the radiographic technique is one of the potentially limiting factors. The spatial resolution for identifying the marker centroids is about 0.2 mm in our system. With tissue shrinkage, the beads, particularly in the subendocardium, would be moving closer together, and overlapping of beads could make their identification difficult. To minimize this cause of error, we carefully chose the best position in both anterior-posterior and lateral projections in which all beads were identifiable.

The finite element method was used to calculate transmural distributions of finite deformation because transmural myocardial deformation is not homogeneous and ischemia might be expected to have a significant influence on the strain variation within a tetrahedron. Root-mean–square fitting errors in the fitted coordinates showed ranges in both end-diastolic and end-systolic configurations similar to those reported in previous studies,17 indicating that fitting errors in this study were at an acceptable level and that transmural distributions of strains were accurately computed from the coordinate data using the finite element method. When determining remodeling strains, we compared diastolic configurations between the control state and the subsequent studies at matched end-diastolic pressures in each animal to avoid apparent remodeling that was actually due to changes in loading conditions alone. It is generally accepted that the ischemic region usually becomes more stiff with scar formation and that regional diastolic properties after infarction might be different from control. However, we did not measure absolute left ventricular volumes, and how much the diastolic pressure–volume relation was changed with ischemia in our study is unknown.


*    Acknowledgments
 
This study was supported by National Institutes of Health research grant HL-17682, Ischemic Heart Disease Specialized Center of Research (SCOR), awarded by the National Heart, Lung, and Blood Institute. We thank Denice J. Brannigan, Farid Abdel-Wahhab, Barry Peters, and Richard Pavalec for their valuable technical assistance. We also thank Kazuya Murata and Gregory Eising for assistance with surgery and Noa Katrin and Cheryl Bugsch for the preparation of the manuscript.

Received August 24, 1994; accepted October 9, 1994.


*    References
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up arrowAbstract
up arrowIntroduction
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*References
 
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