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Circulation. 2000;101:2696-2702

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(Circulation. 2000;101:2696.)
© 2000 American Heart Association, Inc.


Clinical Investigation and Reports

Magnetic Resonance–Based Assessment of Global Coronary Flow and Flow Reserve and Its Relation to Left Ventricular Functional Parameters

A Comparison With Positron Emission Tomography

J. Schwitter, MD; T. DeMarco, MD; S. Kneifel, MD; G. K. von Schulthess, MD, PhD; M. Ciopor Jörg, MD, PhD; Hakan Arheden, MD, PhD; S. Rühm, MD; K. Stumpe, MD; A. Buck, MD; W. W. Parmley, MD; T. F. Lüscher, MD; C. B. Higgins, MD

From the Division of Cardiology (J.S., M.C.J., T.F.L.), Section of Nuclear Medicine (S.K., K.S., A.B., G.v.S.), and MR Center (S.R.), Department of Radiology, University Hospital Zurich, Zurich, Switzerland, and Division of Cardiology (T.D., W.W.P.) and Department of Radiology (H.A., C.B.H.), University of California, San Francisco.

Correspondence to J. Schwitter, MD, Cardiology, University Hospital Zurich, Raemistrasse 100, CH-8091 Zurich, Switzerland. E-mail karscz{at}usz.unizh.ch


*    Abstract
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Background—Measurement of coronary sinus blood flow (CSF) by phase-contrast magnetic resonance (PC-MR) imaging at rest and during hyperemia may allow noninvasive assessment of global coronary hemodynamics.

Methods and Results—Sixteen healthy volunteers (age, 22 to 32 years) were examined with MR and PET in random order within 1 to 2 days. At rest and during hyperemia (dipyridamole 0.56 mg/kg), CSF was measured by a cine PC-MR technique (temporal resolution, 40 ms; spatial resolution, 1.25x0.8 mm2), and myocardial blood flow (MBF) was measured by [13N]NH3 PET. PET and MR agreed closely for coronary flow reserve (CFR; mean difference, 2.2±14.7%; Bland-Altman method). CSF divided by either total left ventricular mass or an estimate of drained myocardium (LVMdrain) correlated highly with PET flow data (r=0.93 and 0.95, respectively) and with measures of oxygen demand, ie, heart rate, afterload-corrected fiber shortening, and peak systolic stress determined by MR (overall correlation coefficients, 0.81 and 0.87, respectively, multivariate analysis). CSF/LVMdrain did not differ significantly from PET-derived MBF (difference, 3.6±16.6%). In orthotopic heart transplant recipients (n=9), CFR was reduced and blood supply-demand relationships at rest were shifted toward higher flows (P<0.0001).

Conclusions—This integrated MR approach allows comprehensive assessment of autoregulated and hyperemic coronary flow and is suitable for serial measurements in patients. In transplanted hearts, elevated resting flow is the major cause of reduced CFR.


Key Words: magnetic resonance imaging • tomography • circulation • transplantation


*    Introduction
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In the past decade, there has been increasing interest in the use of coronary flow reserve (CFR) measurements to investigate coronary pathophysiology.1 The introduction of intracoronary Doppler wires and PET considerably improved our understanding of how coronary hemodynamics are affected by physiological2 3 and pathological conditions.3 4 5 However, far fewer studies have addressed the reversibility of alterations in coronary hemodynamics.6 This fact may reflect the need for noninvasive methods for coronary blood flow quantification that ideally can be repeated in patients without restrictions.

Phase-contrast magnetic resonance (PC-MR) techniques have emerged recently as an attractive tool for noninvasive quantification of blood flow.7 8 9 In disease states that affect most of or the entire coronary circulation, flow measurements might be most sensitive for detection of coronary flow alterations when performed in the coronary sinus (CS), which drains a large portion of the left ventricular (LV) myocardium.10 11 With this in mind, we optimized a PC-MR sequence for this vessel to quantify flow at rest and during drug-induced hyperemia. The present study was designed to assess the accuracy of CFR determinations by PC-MR technique in comparison with PET.12 Furthermore, we hypothesized that MBF (mL · min-1 · g-1) can be quantified from PC-MR data if CS flow is related to the amount of myocardium drained by the CS and its tributaries. In addition, various determinants of oxygen demand, ie, indexes of contractility and ventricular loading, were derived from the MR data to characterize blood supply-demand relationships in normal hearts and in hypertrophied hearts of orthotopic heart transplant (OHT) recipients.13 14


*    Methods
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Study Population and Protocol
For the PET-MR comparison, 16 healthy volunteers (8 men; mean age, 28±3 years) without a history of cardiovascular disease, with a normal physical examination, and with normal 12-lead ECGs at rest and during dipyridamole infusion were studied with both MR and PET in random order within 1 to 2 days. During both PET and MR studies, blood pressure (BP) and heart rate (HR) were acquired at 2-minute intervals, and ECG was monitored continuously. All data were compiled, analyzed, and stored without knowledge of the findings obtained during the other procedure.

In addition, 10 male OHT recipients were examined by MR imaging 11±4 months after transplantation. The control group (matched to donors’ ages and sexes) comprised 15 healthy male subjects (8 also had a PET study). In all OHT recipients, coronary angiography (performed within 6 months of the MR study) and endomyocardial biopsies (performed within 12±16 days of the MR study) revealed absence of transplant coronary artery disease and rejection (ISHT grading 2), respectively. Immunosuppressive therapy included cyclosporine (CsA), prednisone, and mycophenolate mofetil in all patients plus azathioprine in 5 patients. CsA was withheld for 12 hours before the study; all other drugs were continued. Before the MR examination, blood was drawn for CsA determination (Sandoz Pharmaceutical). Study protocols were approved by the local ethics committees, and written informed consent was obtained from all subjects. All study participants refrained from ingesting caffeinated beverages or food 24 hours before examinations.

MR Examination
Data Acquisition
Each subject was imaged in the supine position in a 1.5-T system (Horizon Echospeed, GE Medical Systems) with a 2-coil phased array (GP-Flex Coils, GE) as a radiofrequency receiver. For LV volume and mass measurements, short-axis gradient echo images covering the entire LV were acquired.13 On a localizer depicting the CS in plane, the site of flow measurement was defined by an imaging plane transecting the center of both the left atrium and the aortic valve, thereby cutting the CS perpendicularly (Figure 1aDown). Imaging parameters were as follows: repetition time/echo time, 20/7.4 ms; flip angle, 15°; retrospective ECG gating; 2 excitations averaged; respiratory compensation (respiratory ordered-phase encoding); field of view, 20x20 cm2 with a matrix of 256x160 (linearly interpolated before display yielding a spatial resolution of 0.8x0.8 mm2); and velocity encoding, ±0.80 and ±1.40 m/s for baseline and hyperemic conditions, respectively. CS flow measurements were performed twice during baseline conditions (at an interval of 5 minutes to determine short-term reproducibility) and were repeated 4 minutes after dipyridamole administration (0.56 mg/kg IV over 4 minutes, Perfusor VI).



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Figure 1. Schematic representation of MR (a, b) and PET (c) images. a, Relationship of posterior veins and middle cardiac vein (MCV) to site of CSF measurement (double line). b, Projection of site of flow measurement onto stack of MR short-axis images. Inferoposterior segment (light gray) and inferior third of interventricular septum (dark gray) are assumed to be drained by posterior veins and MCV, respectively. Accordingly, remaining myocardium (white) represents myocardium drained by CS (LVMdrain). c, Regions of interest 1 through 3, 7, and 8 correspond to LVMdrain as defined on MR images.

Data Analysis
CS blood flow (mL/min) was calculated by summing the flow per cardiac phase over the cardiac cycle and multiplying by the mean HR during the measurement. Flow per cardiac phase equals mean velocity at that phase times vessel area determined manually on the magnitude images (whereby border pixels were included in the area measurement). Phase offset errors were minimized for each cardiac phase by subtracting phase shifts averaged from 2 regions of stationary tissue (chest wall and skeletal muscle of the back). CFR was defined as the ratio of hyperemic to baseline CS flow. For calculation of CFRnorm, baseline flows were corrected for differences in rate-pressure product (RPP) (see below).

LV mass and volumes were calculated from Simpson’s rule.13 In a first approach, a measure of MBF (mL · min-1 · g-1) was obtained by dividing CS flow by total LV mass. Because the inferior third of the interventricular septum is almost exclusively drained by the middle cardiac vein10 11 that enters the CS distal to the site of MR flow measurement (see Figure 1aUp) and the inferoposterior wall of the heart is typically drained by 1 to 3 posterior veins,10 11 15 LV mass that drains into the CS (LVMdrain) was defined as total LV mass minus the inferior third of the interventricular septum minus the inferoposterior segment (extending between the site of flow measurement and the inferior insertion of the interventricular septum; Figure 1bUp).

Indexes of Contractility and Loading
As an index of LV contractility, midwall circumferential fiber shortening (cFS) was calculated from the MR data14 by applying a 2-shell cylindrical model.16 cFS was negatively correlated with circumferential end-systolic wall stress (cSES) (see Results section), and the slope of the regression equation was used to correct cFS for differences in cSES (cFSnorm) by calculating cFS at the mean cSES of all volunteers. Systolic wall thickening and LV ejection fraction were calculated as described earlier.13 14

In the formulas for calculations of end-systolic circumferential17 and meridional18 LV wall stresses, cuff systolic BP was substituted for end-systolic BP as proposed by Reichek at al.18 For estimation of peak systolic stress indexes, LV dimensions and wall thicknesses were obtained at a point one third of ejection17 by linear interpolation between end diastole and end systole. Furthermore, cuff systolic BP was substituted for systolic LV pressure.

PET Examination
Dynamic PET measurements were performed with a whole-body PET scanner (Advance, GE Medical Systems). Images were reconstructed with filtered back projection (Hanning filter; cutoff, 5 mm transaxial, 8.5 mm axial) and a 128x128-pixel output matrix. Beginning with the intravenous bolus administration of 700 to 800 MBq [13N]NH3, serial images were acquired for 15 minutes. After a delay time of >=50 minutes to allow for 13N decay (physical half-life, 9.9 minutes), hyperemia was induced by dipyridamole (same regimen as for the MR study), and the flow measurement was repeated. Finally, a 20-minute transmission scan was acquired for attenuation correction.

On reformatted short-axis views, 8 regions of interest (ROIs) were placed in 8 slices each as demonstrated in Figure 1cUp. From all 64 ROIs, regional myocardial tissue time-activity curves were obtained. The arterial input function was derived from an ROI in the LV blood pool. As a direct estimator of MBF, K1 (mL · min-1 · g-1) was calculated from the time-activity curves with a previously validated 2-compartment model (K1, k2, spillover correction).12 In analogy to the LVMdrain, as defined on the MR data set, MBF values of ROIs 1 through 3, 7, and 8 of all 8 slices were averaged (see Figure 1cUp). This analysis was performed for baseline and hyperemic flow states.

Both MR and PET baseline flows correlated with the RPP (see Results section), and the slope of the regression equation was used to correct flows for differences in the RPP by calculating their values at the mean RPP of all subjects (pooled MR and PET data).

Statistical Analysis
Values are given as mean±SD. Limits of agreement between PET- and MR-derived flow and flow reserve measurements are reported as mean±2 SD of differences calculated from paired PET and MR measurements.19 Additionally, a repeated-measures ANOVA was performed (2 within factors: MR versus PET and baseline versus hyperemia), followed by paired t tests and Bonferroni’s correction (P<0.05/4 is significant because of 4 comparisons). Correlations between determinants of oxygen demand and MBF data were sought through univariate and stepwise linear regression analysis. Intraobserver and interobserver variabilities and short-term reproducibility of MR flow measurements are reported as mean±2 SD of differences of paired analyses.19 Comparisons between OHT recipients and control subjects were performed with unpaired Student’s t tests. We considered P<0.05 to be statistically significant.


*    Results
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In 1 OHT recipient and 1 healthy volunteer, CS flow could not be measured by MR because of dipyridamole-induced nausea and for technical reasons, respectively. Representative examples of MR images of the CS and corresponding flow profiles are given in Figures 2Down and 3Down, respectively.



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Figure 2. Representative example of 4 magnitude images (A through D) and corresponding phase images (E through H) of series of 25 images representing 1 cardiac cycle in healthy volunteer at rest (corresponding flow profile is shown in Figure 3Up, gray line). Arrows show CS; time after R wave is given in top left corners. At end of left ventricular ejection (B, F), cross-sectional area of CS is largest (B) and flow is retrograde (F). During early diastole (C, G), CS is sharply depicted even during its rapid motion occurring in this phase of cardiac cycle. During atrial contraction, reflux into CS occurs (D, H).



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Figure 3. Representative plot demonstrating influence of flow volume on flow profile in CS (corresponding MR images are shown in Figure 2Up). During baseline conditions, flow is biphasic with high flow in mid systole and early diastole (gray line); during hyperemia, highest flow occurs during systole (black line).

Comparison of MR and PET results
The hemodynamic data for the PET-MR comparison are given in Table 1Down. Figure 4Down demonstrates the close agreement of the 2 techniques for measurements of CFRnorm (mean difference, 2.2%; limits of agreement, -27.2% to 31.6%).


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Table 1. Systemic and Coronary Hemodynamics: PET-MR Comparison



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Figure 4. Comparison of PET and MR measurements of global CFR (Bland-Altman analysis). Differences are given in absolute values (a) and as percentage (b). CFRnorm is ratio of hyperemic to baseline CSF with baseline flow normalized for RPP.

CS flow in these healthy volunteers increased from 68.8±16.1 mL · min-1 at baseline to 290.2±70.2 mL · min-1 during hyperemia (P<0.0001). MBF calculated as CS flow divided by total LV mass correlated highly with PET flow data; however, the slope was considerably less than unity (Figure 5aDown and Table 1Up). If CS flow was divided by LVMdrain, the slope approached unity (Figure 5bDown and Table 1Up). Resting MBF correlated with RPP (slope, 7x10-5 mL · g-1 · mm Hg-1, r=0.61, P<0.001; pooled PET and MR data). The difference for RPP-corrected MR and PET flow data at baseline was 3.4±12.8% and was similar for hyperemic condition (3.9±20.2%, P=NS versus baseline; Figure 6Down).



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Figure 5. Correlations between estimates of MBF (mL · min-1 · g-1) derived from PET (x axis) and MR (y axis) measurements. For both MR-derived measures of MBF, ie, CSF divided by total left ventricular mass (LVMtotal; a) and divided by drained myocardium (LVMdrain; b), correlations with PET flow data are high. For CSF divided by LVMdrain, slope of regression line approximates unity (dashed line).



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Figure 6. Comparison of MBF as measured by PET and MR (CSF divided by drained myocardium) with baseline flows normalized for RPP (Bland-Altman analysis). Mean differences between PET and MR measurements during baseline (3.4±12.8%) and hyperemia (3.9±20.2%) were not significantly different.

For the intraobserver variability of CS flow and CFR, the mean difference (with 95% CI in parentheses) was -0.3% (-19.7% to 19.1%) and 2.4% (-15.6% to 18.4%), respectively. For the interobserver variability, the results were 5.0% (-9.8% to 19.8%) and -1.6% (-19% to 15.8%), respectively. The short-term reproducibility for baseline CS flow measurements was 1.3% (-29.7% to 32.3%).

Determinants of Coronary Flow in Healthy Volunteers
LV anatomical and functional data of the study population are given in Table 2Down. The negative correlation between cFS and cSES (slope, -0.07, r=-0.76, P<0.001) was used for calculation of cFSnorm. Both measures of MBF (CS flow divided by total LV mass and by LVMdrain) were positively correlated with HR (r=0.76, P<0.001 and r=0.77, P<0.001, respectively), cFSnorm (r=0.54, P<0.05 and r=0.70, P<0.005, respectively), and mSpeak (r=0.51, P<0.05 and r=0.58, P<0.03, respectively; univariate analysis; Figure 7aDown through 7c). No correlations were found for systolic BP, cSES, and mSES. In a stepwise regression analysis, HR and cFSnorm were identified as independent predictors of baseline MBF (CS flow/LVMdrain) and together explained 67% (adjusted R2) of autoregulated MBF (r=0.85, P<0.0001; Figure 7dDown).


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Table 2. LV Anatomic and Functional Parameters



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Figure 7. Blood supply-demand relationships in normal hearts derived from MR data. MBF (CSF flow divided by drained myocardium) was positively correlated with HR (bpm; a), afterload-corrected midwall cFS (cFSnorm; b), and peak systolic meridional wall stress (mSpeak; c). HR and cFSnorm were used to calculate MBFpredicted and explained 67% (adjusted R2) of variability in baseline flow (d).

Blood Supply-Demand Relationship in OHT Recipients
OHT recipients exhibited a marked concentric LV hypertrophy, along with a reduction in LV systolic loading and reduced indexes of contractility (Table 2Up). Nevertheless, MBF (CSF/LVMtotal) per heart beat was increased in these patients (0.011±0.001 versus 0.008±0.002 mL · g-1 · beat-1 in control subjects, P<0.002). Because HR and cFSnorm were identified as independent predictors of blood flow in normal hearts (see above), this blood supply-demand relationship (represented by the equation MBF=0.0086xHR+0.029xcFSnorm-0.667) was applied to control and transplanted hearts, yielding MBFpredicted (MBF predicted by HR and cFSnorm). In the control hearts, MBFpredicted closely matched MBFmeasured (slope, 0.997; intercept, -0.00363 mL · min-1 · g-1; mean difference, 0.001±0.047 mL · min-1 · g-1; P=0.92 versus 0; Figure 8Down). However, in transplanted hearts, MBFmeasured was substantially higher than MBFpredicted (difference, 0.378±0.123 mL · min-1 · g-1, P<0.0001 versus 0; Figure 8Down). This difference, reflecting the degree of blood supply-demand imbalance, was positively correlated (r=0.72, P=0.026) with blood CsA (trough levels on the day of MR examination). No relations were found for azathioprine dose, prednisone dose (mg/kg), type of antihypertensive treatment, LV mass, and time after transplantation. Similar results were obtained for CSF divided by LVMdrain, with MBFmeasured higher than MBFpredicted (1.23±0.16 versus 0.87±0.21 mL · min-1 · g-1, P<0.002) and the difference correlating with CsA levels (r=0.74, P=0.024).



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Figure 8. In control subjects, MBF predicted by heart rate and afterload-corrected midwall circumferential fiber shortening (MBFpredicted) correlated highly with measured MBF (slope=0.997; r=0.92, P<0.0001; dotted lines represent 95% CI). In OHT recipients, MBFmeasured exceeded MBFpredicted (difference, 0.378±0.123 mL · min-1 · g-1, P<0.0001 vs 0), suggesting alterations in coupling of blood supply and oxygen demand in transplanted hearts.

CFR was reduced in transplanted patients compared with control subjects (Table 3Down). Further analysis revealed a weak negative correlation between hyperemic MBF and LV mass index (r=-0.56, P<0.005; n=24).


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Table 3. Comparison of Hemodynamics in Control Subjects and OHT Recipients


*    Discussion
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*Discussion
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The major findings in the present study are as follows: (1) the presented MR approach allowed noninvasive measurement of global CFR in healthy volunteers and patients and yields absolute units of MBF (mL · min-1 · g-1) by relating CS flow to estimates of drained myocardium, and (2) it determines coronary blood supply-demand relationships and in chronically denervated hearts demonstrated an increased resting flow in relation to major determinants of oxygen demand.

CFR Measurements by Means of Cine PC-MR Technique
PET with [13N]NH3 is well established as an accurate method for blood flow quantification.12 20 The agreement between PC-MR and PET measurements of CFR was excellent, with a difference of 2.2±14.7% over a wide range of flow reserves, and the limit of agreement of ±29.4% is acceptable if one considers the reproducibility of PET for CFR measurements of approximately ±30% (estimated from the method of Nagamachi et al21 ).

PC-MR techniques accurately measured blood flow in the coronary arteries7 8 and CS.9 Extensive in-plane motion of the CS during the cardiac cycle and the highly pulsatile flow pattern necessitate high temporal resolution of flow data acquisition.7 In the present study, this was achieved by acquisition of k lines without segmentation. Furthermore, recent improvements in scanner hardware and software allowed us to shorten the acquisition time to assess coronary hemodynamics not only during autoregulation but also during pharmacological stimulation. Prolonged breath holds may affect the hemodynamics of the right atrium and hence could change flow dynamics in the CS. This source of error was avoided in the present study by the non–breath hold approach. Furthermore, in hemodynamically compromised patients, data acquisition without breath holding might be advantageous.

Assessment of Myocardial Blood Supply-Demand Relationship in Control Hearts
Blood supply to the heart was assessed by measuring CS outflow. Both estimates of MBF, ie, CS flow divided by total LV mass or LVMdrain, correlated highly with PET flow data (r=0.93 and r=0.95, respectively), indicating that both measures of MBF are useful for assessing blood supply. Further, indexes of contractility and LV systolic loading derived from the MR data set correlated with both measures of MBF, indicating that the presented MR technique provides all components necessary to establish blood supply-demand relationships noninvasively.

It is advantageous to relate CS flow to LVMdrain because it allows direct quantitative comparison between MR and PET data. The limits of agreement for the MR and PET measurements of MBF were -29.6% and 36.8%, which are in the range for the reproducibility of PET measurements of ±25% to ±32.4% (calculated from the methods of Nagamachi et al21 and Czernin et al,5 respectively).

Uncoupling of Myocardial Blood Supply and Demand in Transplanted Hearts
In the present study, resting MBF (CS flow/LVMdrain) of OHT recipients was 1.23 mL · min-1 · g-1, which is in agreement with results of PET studies ranging from 0.94 to 1.63 mL · min-1 · g-1.22 23 24 25 In the present study, MBF of OHT recipients was significantly higher than in control subjects as demonstrated in several PET studies.22 23 24 25 Despite this increase in resting MBF, indexes of contractility and systolic loading were reduced in these concentrically hypertrophied hearts. Accordingly, predicted MBF that reflects MBF dictated by oxygen demand was significantly less than measured MBF, supporting the notion that coupling between oxygen demand and blood supply is altered in human denervated myocardium. Furthermore, this study provides evidence that supply-demand uncoupling is modulated by CsA. Similarly, in rat hearts, coronary blood flow was increased during CsA treatment while contractile function was depressed.26 One may speculate whether CsA-induced alterations in mitochondrial calcium handling26 27 could be responsible for this observation.

Study Limitations
Regional assessment of myocardial flow and flow reserve is not achieved by the presented MR approach. However, progression of coronary artery disease is not limited to individual coronary arteries but is a generalized disease process of the coronary vasculature. Therefore, serial measurements of global CFR by the proposed technique might be useful for monitoring the progression of coronary artery disease and assessing the effects of drug interventions in these patients. Another disadvantage of the presented MR technique is its inability to assess flow and flow reserve in different myocardial layers, a limitation, however, that is shared by most other noninvasive techniques aimed at perfusion measurements in the heart. Whereas CFR measurements by means of the proposed MR technique are not affected by the anatomic variability of the coronary venous system, absolute flows (mL · min-1 · g-1) depend on estimated mass of drained myocardium. Accordingly, alterations in absolute coronary flows may be inferred from appropriately sized patient populations rather than from a single measurement.

Implications and Conclusions
PC-MR imaging, as presented in this study, could become a valuable research tool thanks to its noninvasiveness and an integrated evaluation of coronary flow and LV function. To the best of our knowledge, this is the first report to demonstrate in humans the capability of an integrated MR approach to quantitatively measure MBF under resting and hyperemic conditions and to simultaneously provide quantitative estimates of major determinants of myocardial oxygen demand. Thus, the technique may be ideal for studying coronary hemodynamics in generalized diseases of the LV, such as hypertensive heart disease, valvular heart disease, cardiomyopathies, and others, and for assessment of therapeutic interventions in these disease states. In OHT recipients, the presented data suggest an uncoupling between blood supply and demand under resting conditions. Further studies are warranted to clarify the role of cardiac denervation and immunosuppressive therapy in this setting.


*    Acknowledgments
 
This work was supported in part by the Swiss National Science Foundation (Drs von Schulthess and Schwitter) and the Swiss Heart Foundation. We wish to thank Dr Burkhardt Seifert (Institute of Biostatistics, University of Zurich, Switzerland) for his assistance in performing the statistical analyses, Dr Daniel Nanz for his invaluable technical support, and Thomas Berthold for his excellent assistance in performing the PET studies. We also wish to thank Dr P. August Schubiger and his staff of Cyclotron for providing [13N]NH3.

Received June 11, 1999; revision received December 29, 1999; accepted January 4, 2000.


*    References
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*References
 

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