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Clinical Investigations |
1 National Institutes of Health, Bethesda, Maryland
2 Hadassah University Hospital, Jerusalem, Israel
| ABSTRACT |
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55 min after injection) or dynamic imaging 10 or 25 min to
55 min after injection but using only every second or third time point, to permit a 2- or 3-field-of-view study. SKA-S was also calculated. Both SKA-M and SKA-S were compared with the gold standard, Patlak analysis. Results: Both SKA-M (1 field of view) and SKA-S correlated well with Patlak slope (r > 0.99, P < 0.001, and r = 0.96, P < 0.001, respectively), as did multilevel SKA-M (r > 0.99 and P < 0.001 for both). Mean values of SKA-M (25-min start time) and SKA-S were statistically different from Patlak analysis (P < 0.001 and P < 0.04, respectively). One-level SKA-M differed from the Patlak influx constant by only 1.0% ± 1.4%, whereas SKA-S differed by 15.1% ± 3.9%. With 1-level SKA-M, only 2 of 27 studies differed from Ki by more than 20%, whereas with SKA-S, 10 of 27 studies differed by more than 20% from Ki. Conclusion: Both SKA-M and SKA-S compared well with Patlak analysis. SKA-M (1 or multiple levels) had lower variability and bias than did SKA-S, compared with Patlak analysis. SKA-M may be preferred over SUV or SKA-S when a large unmetabolized 18F-FDG fraction is expected and 13 fields of view are sufficient.
Key Words: 18F-FDG Patlak standardized uptake value
| INTRODUCTION |
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| MATERIALS AND METHODS |
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Apart from population A, another population of cancer patients was used solely to generate an average, population-based input function. This second population, population B, consisted of 18 patients: 13 with breast cancer, 3 with ovarian cancer, 1 with melanoma, and 1 with prostate cancer (1 man, 17 women; average age, 57.1 y). These 18 subjects were enrolled in a variety of therapeutic protocols. The data from this group were used only to compute the average input function. These subjects had average blood glucose and insulin levels of 81.4 mg/dL (±13; range, 57113 mg/dL) and 7.3 µU/mL (±4.0; range, 2.420.1 µU/mL), respectively. To avoid bias, only 1 input function from each of the 18 subjects, the input function from their baseline study, was used to compute the average input function for the population. Diabetic patients were not specifically excluded from either population, but 1 subject who was admitted to the protocol but whose blood glucose was >230 mg/dL was not imaged.
Data Acquisition
All 18F-FDG PET studies were acquired on an Advance PET scanner (General Electric Medical Systems) in 2-dimensional mode (11), producing 35 slices over an approximately 15-cm axial field of view. In-plane and axial reconstructed resolution was
7 mm in full width at half maximum, with a slice separation of 4.25 mm. Images were reconstructed into a 256 x 256 array (2 mm/pixel). After an overnight fast (>6 h), approximately 370 MBq (10 mCi) of 18F-FDG were injected over 2 min or less using a constant-infusion pump (population A: 381 ± 9.3 MBq [10.3 ± 0.25 mCi]; population B: 377 ± 13.7 MBq [10.2 ± 0.37 mCi]. The dynamic acquisition began at injection. For both populations, the scanner was always positioned with the heart in the field of view. We selected only subjects whose tumors were in the same field of view as the heart, because an input function from each individual study was needed. Although each subjects individual input function is not needed for either of the SKA methods, it is necessary for doing Patlak analysis, which was the reference method against which the 2 SKA methods were compared.
The tumor data (population A) were sampled with scan times of 30 s/frame for the first 4 min, 3 min/frame for the next 1821 min, and 5 min/frame thereafter, for an average of 58 min (±3.6) total. The dynamic sampling for population B, used to determine the populations average input function, was more rapid. Five seconds/frame were used for the first minute of acquisition, followed by 15 s/frame for the next minute, 30 s/frame for next 2 min, 3 min/frame for next 21 min, and 5 min/frame for the next 30 min.
A static scan was created by summing the last 15 min of the dynamic 18F-FDG images and was used to draw tumor regions of interest (ROIs) on each subject in population A. These ROIs were drawn using an automatic 3-dimensional, threshold-based region-growing program (MedX; Sensor Systems Inc.). All ROIs were confirmed visually. These 3-dimensional tumor regions were then used both for calculation of the 2 SKA values and for calculation of the Patlak influx constant (Ki). We deliberately used the same ROIs when comparing the 2 SKA methods with the Patlak method to eliminate variability due to ROI size or placement. ROIs for obtaining an image-based input function were manually drawn on the cardiac left atrial cavity visualized from the early (arterial phase) 18F-FDG images of each patient.
Data Analysis
Population Input Function.
The input functions from the 18 subjects in population B were temporally aligned (by extrapolating the maximum up-slope of the bolus arrival to the time of zero activity) and averaged to obtain an average population input function (input function B), as shown in Figure 1. The error bars in Figure 1 represent the SE of the left atrial activity across the 18 subjects. As another rough indicator of the variability of the input function, we computed 0
TA(t) (the primary determinant of the Patlak slope) at each time point T for each of the 18 subjects of population B and correlated it with the same quantity from a scaled population average made up of the other 17 subjects. The average SD of the individual input functions was 3% (range, 1%6.2%).
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SKA-S Method.
The SKA-S method has been described in detail by Hunter et al. (5). The SKA-S method normalizes 18F-FDG uptake in the tumor to an estimated integral of the input function up to the time of the static scan. Hunter found that in nondiabetic subjects, the input function could be approximated by 3 decaying exponentials and that the 2 early exponents had minimal variation. Hence, any interpatient variability in the input function was attributed to the late part of the curve. The magnitude of the late part of the curve (the amplitude of the third exponent) was determined from a single late venous sample. Thus, in the SKA-S method, the integral is estimated using a combination of a triexponential function and a late venous sample, as specified by Hunter et al. (5). The resulting estimated integral is then used to normalize the 18F-FDG uptake in the tumor. This normalized uptake, which we call SKA-S, has been shown to be an approximation to Ki.
SKA-M Method.
The hybrid method proposed here (SKA-M) is illustrated in Figure 2. It combines some of the ideas of SKA-S and other previous methods (49) with Patlak analysis. We applied SKA-M to either late 1-level studies, using all the data from 25 to
55 min; late 2-level studies, using every other data point from 25 to
55 min; or 3-level studies, using every third data point between 10 and 55 min. We refer to these as 1-level SKA-M, 2-level SKA-M, and 3-level SKA-M. The concept of doing a dynamic, multilevel scan, alternating between levels, was described in the abstract of Hoh et al. (10). The input function for our SKA-M calculations was obtained by scaling the population-based input function to the patients own blood activity concentration at 40 min. This measurement is easily obtained either from a venous blood sample or from the image data (when the heart is in the field of view). In the latter case, to reduce noise, we smoothed the dynamic blood-pool time-activity curve from 25 to 55 min by fitting it to a biexponential function. The 40-min blood data were extracted from this fitted curve. The scaling factor was then calculated as follows:
![]() | (Eq. 1) |
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![]() | (Eq. 2) |
) is the arterial curve as determined from the scaled population average curve, the integral is from 0 to time t, and Ameas(t) is the blood concentration determined at the times corresponding to the tumor points (e.g., a few points from 25 to 55 min).
A straight line was fit to the plot of tumor(t)/Ameas(t) versus {
0tApop(
)}/Ameas(t). The slope of this line is an estimate of Ki, which we call SKA-M, and the intercept of the line is an estimate of Vd, the fraction of unmetabolized 18F-FDG. The SKA-M value differs from Ki in 2 ways: First, instead of using a patients own input function, a scaled population input function is used. This results in a smoother input function and avoids the need for acquiring an input function for each subject. Second, Equation 1 requires only tumor data from 25 min (or later) to
55 min for 1-level imaging, and tumor data are needed from only every other or every third point for imaging 2 or 3 levels.
Statistical Analysis
The P value given for all correlation coefficients indicates the probability that the correlation coefficients differed significantly from zero. Comparisons of variance were performed using the F distribution. Slopes and intercepts were determined from linear least-squares regression analysis. SKA values were compared with Patlak values using the Student t distribution, unpaired, except where indicated.
| RESULTS |
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55 min) and for 3 levels (i.e., using only every third datum point from 10 min to
55 min), respectively. SKA-M was estimated using the population-B input function, scaled by each subjects 40-min blood sample. Both SKA-M and SKA-S correlated well with Patlak slope (r > 0.99, P < 0.001, for both 1- and 3-level SKA-M and r = 0.96, P < 0.001, for SKA-S). The data scattered more widely about the regression line with SKA-S than with either 1- or 3-level SKA-M (12.9% for SKA-S vs. 1- and 3-level SKA-M values of 3.5% and 4.6%, respectively; P < 0.01). The SKA-S regression line (Fig. 3A) had a slope considerably different from unity and a positive intercept. Both SKA-M regression lines were closer to unity and had a negligible intercept. A similar good correlation was found when only every other point of the 25- to 55-min data was used, as would be required for a 2-level study (r > 0.99, slope = 0.93, and intercept = 0.0012, with a scatter of 4.4% about the regression line).
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2% at 37 min. At later times, bias increased further. Both 1-level SKA-M and SKA-S were found to be statistically significantly different from Patlak analysis (P < 0.01 for SKA-M and P < 0.04 for SKA-S by paired analysis). However, 1-level SKA-M differed from Ki by only 1.0% ± 1.4%, whereas SKA-S differed from Ki by 15.1% ± 3.9%.
Comparison of SKA Methods and Patlak Analysis in Individual Patients
The results describe the average behavior of SKA-S and SKA-M over all subjects. We also calculated the number of tumors in which a given SKA method would differ from Patlak analysis by more than 20% (twice the SD previously reported for reproducibility of SUVs and Patlak values (12)). With 1-level SKA-M, tumors in only 2 of 27 studies differed from Patlak by more than 20%, whereas with SKA-S, tumors in 10 of 27 studies differed by more than 20% from Patlak (P < 0.02 by
2 analysis). Fewer studies disagreed with Patlak using SKA-M than using SKA-S, presumably because of the smaller slope and positive intercept of the SKA-S regression line, as well as the increased variability of SKA-S about its regression line.
| DISCUSSION |
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We found that SKA-S correlated well with Patlak analysis (r = 0.96), in agreement with the findings of Hunter et al. The scatter of the SKA-S values about the regression line was somewhat higher than that found for SKA-M (12.9% vs. 4%5%). In addition, the slope of the SKA-S regression line differed significantly from unity (slope = 0.807), with a significant intercept (0.0049, or 23.3% of the mean value). In contrast, the SKA-M method for 1, 2, or 3 levels had slopes closer to unity (>0.930) and an intercept closer to zero (<0.0007, or <3.7% of the mean). The positive intercept and nonunity slope resulted in a bias of SKA-S compared with Ki of about 15% (range, 18% to 113%), versus a bias of about 1% for SKA-M. Because of this bias, SKA-S differed from Ki by greater than 20% in 10 of 27 studies. The SKA-M 1-level method differed from Ki by greater than 20% in only 2 of 27 studies. We speculate that these differences occurred because SKA-S does not correct for unmetabolized 18F-FDG, whereas SKA-M does.
One might speculate that the bias (but not the variability) in SKA-S could be nearly eliminated by knowledge of the regression line. However, if the presence of unmetabolized 18F-FDG is indeed part of the reason for the low slope and positive intercept of the regression line, then the regression line might well be different for subjects with different amounts of unmetabolized 18F-FDG (e.g., subjects with inflammatory processes). When tumors have low metabolic activity, even a small amount of unmetabolized 18F-FDG becomes a significant fraction of total 18F-FDG uptake in the tumor. For example, we found that SKA-S differed, on average, from Ki by 45% ± 7.3% when Ki was less than 0.015 mL/g/min but by only 1.7% ± 2.5% when Ki was more than 0.015 mL/g/min. On the other hand, the SKA-M 1-level method differed from Ki by 7% ± 3.5% when Ki was less than 0.015 mL/g/min and by 4.7% ± 0.7% when Ki was more than 0.015 mL/g/min. Hence, for tumors with low uptake, neglecting the unmetabolized 18F-FDG concentration may cause large percentage errors in SKA-S. SKA-M may be particularly useful in this situation. Conversely, if our patient population had contained fewer tumors with low uptake (e.g., <0.015 mL/g/min), SKA-S may have had a lower percentage disagreement with Patlak analysis.
The values of SUV, and to a lesser extent SKA-S, depend on the time at which imaging is performed. At the usual acquisition time of around 60 min after injection, many tumors have not reached their uptake plateau. Reaching the plateau has been found to take as long as 256340 min after injection for many tumors (2,13). SKA-M in theory does not depend on the time of imaging because it is a measure of rate of uptake rather than uptake at a specific time. This is confirmed in part by the data in Figure 4B, although there was a small (statistically insignificant) increase in bias at very late times (presumably because of the very small number of points used). We speculate that if very late static images were used, both SKA-S and SKA-M might have agreed equally well with Patlak analysis (with SKA-S being simpler to implement).
In summary, both SKA-M and SKA-S correlated well with Patlak analysis. SKA-M had less variability about the regression line, a regression slope closer to unity, and no significant intercept. In addition, because SKA-M follows the rate of uptake, it can account for unmetabolized 18F-FDG, which may explain the smaller bias (1% vs. 15%) compared with SKA-S. By measuring rate of uptake, SKA-M, in principle, removes the dependence on uptake time that SUV exhibits. The SKA-M 1-level method reduces imaging time by more than 40% and, equally important, avoids the necessity of measuring the input function. A wide range of studies has investigated the therapeutic efficacy of new drugs. Many of these studies follow one or more index tumors in a single organ, as a function of time. The SKA-M 1-level or 2-level method would be well suited to such studies. The small variability in uptake slope determined with SKA-M, even when dynamic imaging is delayed further than 25 min (Fig. 4A), is presumably due to the smoothness of the population-based input function. This possibility, combined with the relatively low bias as a function of time (Fig. 4B), suggests that imaging could be delayed still more, further shortening the acquisition.
We did not attempt to validate the SKA methods using clinical criteria such as survival, time to disease progression, or change in CT tumor size with treatment. Our aim was to develop and validate a simple measure of the glucose metabolic rate of the tumors with only a limited dynamic acquisition. Hence, in this context, we selected the influx constant obtained using a regular Patlak analysis as our gold standard for validating the SKA methods.
A potentially significant drawback of SKA-M is that it requires a longer imaging time than does SKA-S, although conceivably, from Figure 4, this imaging time could be reduced. Finally, although our subjects had a wide range of blood glucose levels, it remains to be seen whether a population average is adequate for characterizing subjects with a drastically altered overall glucose metabolism, as in diabetes. This is also true for most SKA methods.
| CONCLUSION |
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| FOOTNOTES |
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For correspondence or reprints contact: Stephen L. Bacharach, PhD, Bldg. 10, Room 1C401, NIH, Bethesda, MD 20892-1180.
E-mail: steve-bacharach{at}nih.gov
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