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Clinical Investigations |
1 Department of Nuclear Medicine, Unité Propre de Recherche de lEnseignement SuperieurEquipe dAccueil 3447, Centre Hospitalier Universitaire, Nancy, France
2 Department of Cardiology, Unité Propre de Recherche de lEnseignement SuperieurEquipe dAccueil 3447, Centre Hospitalier Universitaire, Nancy, France
3 Laboratory of Hematology, Faculty of Medicine, Université Henri Poincaré, Nancy, France
| ABSTRACT |
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Key Words: 201Tl idiopathic dilated cardiomyopathy SPECT MRI myocardial wall stress
| INTRODUCTION |
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| MATERIALS AND METHODS |
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Segmental Determination of Left Ventricular End-Diastolic Wall Stress
Using MRI, we calculated local wall stress at end-diastole on a 13-segment division of the left ventricle (Fig. 1) by applying Laplaces law (7): (r-1 + R -1)-1 x P, where r and R are the principal radii of curvature of the ellipsoid and P is the pressure difference across the surface (Fig. 2). When the surface is a left ventricular wall, P may be considered related to the hydrostatic pressure induced by blood from only the left ventricular cavity (7,8). However, this pressure was not determined in our study because such a determination would have required invasive cardiac catheterization at the time of MRI. Therefore, we calculated an index of end-diastolic wall tension only, which was expressed per millimeter of mercury of the left ventricular hydrostatic pressure at end-diastole. This parameter, which did not take into account the value of hydrostatic pressure, was sufficient to determine whether the myocardial segments showing defects on SPECT were subjected to a diastolic wall tension higher than that of segments not showing defects on SPECT. Indeed, within the left ventricle, segments with defects and segments without defects are subjected to the same level of hydrostatic pressure.
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MRI Procedure
Local myocardial thickness and curvature radii were calculated from images obtained with a 1.5-T MRI scanner (Signa 1.5; General Electric Medical Systems, Milwaukee, WI) using a recently developed "black blood" fast-spin-echo sequence (10), which allows clear delineation of the left ventricular walls at end-diastole. So that the MRI and SPECT slices would be oriented similarly, pilot MR scans were obtained in the same planes as those used for orientating the SPECT images: multiple slices in the coronal plane, followed by a transverse/sagittal slice in the vertical long axis of the left ventricle and, then, a horizontal long-axis slice. The imaging parameters were a 28- to 34-cm field of view, a 256 x 128 matrix, an echo train length of 16, a 20-ms echo time, a 500- to 700-ms inversion time, and a 5-mm slice thickness.
Each image was acquired at end-diastole, at the time of the QRS waves on electrocardiography and during a 10- to 15-s breath-hold. Vertical and horizontal long-axis slices crossing the apical extremity of the left ventricular cavity were acquired. The left ventricle was then divided into 4 equal short-axis areas along the vertical long-axis slice, and a short-axis slice was acquired in the middle of each of the 3 most basal areas (Fig. 1).
Segmental Determination of Myocardial Thickness and Curvature Radii
Each left ventricular segment was analyzed using one orthogonal MRI slice orientated in a meridional direction (vertical or horizontal long-axis slice) and another in a circumferential direction (short-axis slice), except for the apical segments, which were analyzed on both vertical and horizontal long-axis slices (Fig. 1). The images were transferred to a personal computer containing software specially developed to measure myocardial thickness and analyze curvature by positioning points on the ventricular wall.
With the point-positioning software, the borders of the left ventricular walls were directed along radial and parallel lines orthogonal to the walls, as shown in Figure 1. Briefly, 2 points were positioned on each line, one on the epicardial border of the wall and another on the endocardial border of the wall, and myocardial thickness was determined by measuring the distance separating them (a midwall point was also automatically positioned between these 2 points). For each segment, 3 such pairs of points were positioned on the 2 orthogonal slices used to analyze the segment. The thickness of the segment was then calculated by averaging the values from its pairs of points.
The curvature of a segment was also determined for each of the 2 orthogonal slices by calculating the radius of the circle that included the 3 midwall points. According to elementary geometry, the curvature radius of the segment was calculated using:
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SPECT Procedure
Conventional ungated SPECT was performed using a double-head camera (DST-XL; SMV International, Buc, France) 10 min after the rest injection of 201Tl (37 MBq/25 kg of body weight) and after 34 h of redistribution. The techniques for imaging, reconstruction, and visual image analysis were previously described (11). SPECT images were analyzed on the same 13-segment division of the left ventricle as that used for MRI (Fig. 1) and with a 4-point grading scale (0 = normal uptake; 1 = equivocal reduction of uptake; 2 = moderate reduction of uptake; 3 = severe reduction of uptake) (11). Perfusion abnormality at rest was defined as a moderate to severe (>grade 1) reduction in 201Tl uptake on rest SPECT and was considered reversible when the uptake score decreased by
1 point on redistribution imaging (11).
To assess the partial-volume effect occurring during SPECT, we also applied our acquisition protocol on a phantom consisting of tubes of various diameters (from 0.1 to 25 mm) that contained a constant concentration of 201Tl. The relationship between tube diameter and maximal voxel activity was determined.
Statistical Analysis
Continuous variables were expressed as mean ± SD, and discrete variables were expressed as percentages. Multiple paired comparisons were performed using the KruskalWallis test, with P < 0.05 being considered significant.
| RESULTS |
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To evaluate the reproducibility of the measurements, the MRI parameters were calculated twice, 1 mo apart, in 4 different investigations (52 segments). The differences between the 2 measurements, expressed as a percentage of their average, were 6% ± 5% for segment thickness, 11% ± 11% for segment wall tension, and 12% ± 13% for segment wall stress.
SPECT Findings
In patients, uptake defects were documented with 201Tl SPECT at rest for 22 of the 91 analyzed segments (24%), and 11 were judged to be at least partly reversible at redistribution, with none normalizing completely. Defects at rest were more frequent in the apical (71%), inferior (52%), and anterior (14%) segments (within the vertical long-axis plane of the left ventricle) than in the lateral (5%) and septal (10%) segments.
MRI Findings and Relationship with SPECT Findings
Results from the MRI analysis are detailed in Tables 1 and 2 and are illustrated by an example in Figure 3. Seven segments (3 from patients and 4 from healthy volunteers) were excluded because their borders could not be precisely delineated on MRI slices.
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Phantom SPECT Study
The SPECT results for the phantom are given in Figure 4. Because of partial-volume effects, a strong relationship existed between tube diameter and maximal voxel activity. Moreover, a 38% decrease in maximal voxel activity was associated with the decrease in tube size, corresponding to the decrease documented for averaged diastolic myocardial thickness between segments without and segments with SPECT defects (from 12.3 to 8.8 mm).
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| DISCUSSION |
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In this study, by contrast, the use of 3-dimensional imaging (MRI) allowed us to determine the orthogonal curvature radii from segmentsan essential condition for the use of Laplaces law (Fig. 2). In addition, determination of left ventricular wall stress was required only at end-diastole, because that is when most myocardial perfusion occurs within the left ventricle. At end-diastole, the ratio of wall thickness to cavity diameter is sufficiently low to allow the use of Laplaces law (7). Nevertheless, we must point out that the averaged values of left ventricular wall stress predicted here at end-diastole and per millimeter of mercury of hydrostatic pressure were in the range of those already predicted by other mathematic models for healthy humans and patients with dilated cardiomyopathy (12,13).
Using a segmental analysis we found that, by contrast to what had been hypothesized (2,3), the 201Tl SPECT perfusion abnormalities of patients with dilated cardiomyopathy were unrelated to any local excess in left ventricular wall stress at end-diastole. However, we also found that these abnormalities were in segments where thickness was, on average, 28% lower than in the other segments, thereby explaining the presence of 201Tl SPECT defects.
Indeed, because of partial-volume effects, SPECT is known to underestimate the concentration of radioactivity in small structures. To illustrate this point, we applied our protocol for cardiac SPECT acquisition to tubes of various diameters containing a constant concentration of 201Tl. Under such conditions, a 38% decrease in maximal voxel activity was associated with a decreased tube size, corresponding to the decrease documented for averaged diastolic myocardial thickness between segments without and segments with SPECT defects. This finding indicates that the magnitude of the partial-volume effect on patient SPECT images was dramatic, but the precise degree of that magnitude is not known because myocardial walls are of far more complex shape than are cylindric tubes. Nevertheless, these data from the phantom strongly support our observation that, for SPECT performed on patients with dilated cardiomyopathy, a decreased level of 201Tl uptake reflects mainly a decreased mass of myocardial tissue and may therefore be unrelated to any insufficiency of myocardial perfusion.
The segments with 201Tl SPECT defects were thinner than those from healthy volunteers. A possible explanation is that such segments correspond to the areas of myocardial fibrotic involution already documented in patients with dilated cardiomyopathy (14). In these patients, however, the SPECT abnormalities are known to decrease when left ventricular function improves (3); thus, irreversible fibrosis is not a satisfactory explanation and additional mechanisms likely play a role. One additional mechanism could be a lower contractility of the abnormally thin segments, leading to a much lower segment thickness (compared with the other segments) during systole and, thus, to a further decrease in the uptake recorded by conventional ungated SPECT within these segments. Another mechanism could be a higher photon attenuation, because SPECT defects are predominantly in areas (especially the inferior and apical walls (15)) known to be subjected to a high level of such attenuation. The impact of these additional mechanisms remains to be determined.
Previous studies have shown that, in idiopathic cardiomyopathy, the left ventricle is remodeled from the normal elliptic shape to one more spheric (16,17). This remodeling is caused by both an increased curvature radius in the circumferential direction and a decreased curvature radius in the meridional direction (16,17), as shown in Figure 5. In this study, similar results were documented with MRI, but at the level of a local segmental analysis. However, as Figure 5 illustrates, the thin segments showing SPECT defects were also more curved than were the other segments. This additional remodeling may be related to a bending of thin segments under the force of the pressure arising from the blood cavity. Whatever the mechanism, our results show that this shortening of curvature radii leads to a lowering of the wall tension applied to the surface of the abnormally thin segments, thereby protecting their myocardial diastolic perfusion from any excess in diastolic wall stress or tension.
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| CONCLUSION |
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| ACKNOWLEDGMENTS |
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| FOOTNOTES |
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For correspondence or reprints contact: Nathalie Hassan, MD, Service de Médecine Nucléaire, Hôpital de Brabois, rue du Morvan, 54500 Vandoeuvre, France.
E-mail: n.hassan-sebbag{at}chu-nancy.fr
| REFERENCES |
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