Relative differences
To identify the level of reconstructed spatial resolution that provides minimal relative ASP difference to the reference algorithm (TOF4/16), different combinations of spatial resolution for candidate algorithms (TOF4/8, PSF + TOF2/17, Q.Clear) and the reference algorithm were compared pairwise (Table 2).
Table 2
Relative differences to the reference algorithm
| Relative differences, % (median, IQR) |
| 5 mm vs. 7 mm | 7 mm vs. 7 mm | 9 mm vs. 7 mm | 5 mm vs. 5 mm | 9 mm vs. 9 mm |
ASP | | | | | |
TOF4/8 | 205 (108 to 314) | 7.6 (3.1 to 18.0) | 38.8 (25.1 to 55.7) | 30.7 (22.7 to 42.7) | 9.3 (3.7 to 29.7) |
TOF4/16 | 363 (187 to 603) | --- | 33.5 (23.2 to 58.9) | --- | --- |
PSF + TOF2/17 | 85.3 (35.8 to 162) | 12.8 (6.3 to 26.9) | 34.4 (21.8 to 56.9) | 50.1 (36.4 to 73.5) | 16.2 (4.5 to 34.1) |
Q.Clear | 24.7 (15.4 to 51.4) | 31.3 (11.2 to 43.7) | 47.8 (26.2 to 63.9) | 73.1 (54.1 to 85.1) | 29.1 (9.1 to 44.6) |
SUVmax | | | | | |
TOF4/8 | 34.0 (25.7 to 41.3) | 1.2 (0.6 to 2.0) | 12.8 (10.2 to 17.2) | 6.2 (3.8 to 10.4) | 0.7 (0.4 to 2.0) |
TOF4/16 | 43.1 (35.4 to 53.9) | --- | 12.6 (9.9 to 16.4) | --- | --- |
PSF + TOF2/17 | 39.1 (28.6 to 46.2) | 4.9 (1.9 to 7.2) | 11.2 (7.5 to 13.9) | 12.1 (3.3 to 20.7) | 3.0 (1.6 to 5.1) |
Q.Clear | 17.2 (11.9 to 28.1) | 5.1 (2.4 to 10.6) | 11.7 (5.5 to 21.4) | 14.6 (9.5 to 27.4) | 7.1 (2.2 to 11.2) |
MTV | | | | | |
TOF4/8 | 29.9 (21.4 to 39.8) | 2.3 (1.4 to 4.4) | 11.7 (6.6 to 22.0) | 6.2 (3.9 to 15.9) | 1.3 (0.6 to 2.8) |
TOF4/16 | 36.4 (24.9 to 50.7) | --- | 12.4 (6.4 to 22.4) | --- | --- |
PSF + TOF2/17 | 31.9 (24.2 to 39.4) | 6.1 (3.1 to 12.7) | 9.3 (5.3 to 17.3) | 21.7 (8.4 to 41.3) | 3.4 (1.5 to 7.3) |
Q.Clear | 14.6 (7.6 to 20.7) | 6.3 (3.1 to 13.2) | 10.3 (4.0 to 17.2) | 30.0 (13.2 to 83.7) | 10.8 (5.9 to 16.3) |
Relative differences (interquartile range; IQR) are given for each algorithm relative to the reference algorithm TOF4/16. Different pairs of reconstructed spatial resolution (FWHM) are compared. Missing values reflect pairs of identical datasets. |
Relative ASP differences with TOF4/8 and PSF + TOF2/17 compared to TOF4/16 were significantly lower at 7 vs. 7 mm than at 5 vs. 7 mm, 9 vs. 7 mm and 5 vs. 5 mm (each p < 0.001). In contrast, differences with Q.Clear vs. TOF4/16 at 7 vs. 7 mm (median, 31.3%; IQR, 11.2 to 43.7%) were similar to 9 vs. 7 mm (24.7%; 15.4 to 51.4%; p = 0.25). Relative ASP differences at 7 vs. 7 mm were similar to 9 vs. 9 mm with TOF4/8 (median, 7.6% vs. 9.3%; p = 0.38), PSF + TOF2/17 (12.8% vs. 16.2%; p = 0.25) and Q.Clear (31.3% vs. 29.1%; p = 0.33).
Relative SUVmax and MTV differences at 7 vs. 7 mm were significantly lower than corresponding ASP differences (each p < 0.001; Table 2).
Proportions of discordantly classified cases (original data)
The proportion of discordantly classified cases (ASP > 19.5% vs. ASP ≤ 19.5%) with TOF4/8 compared to the reference algorithm at 7 vs. 7 mm was 2% (95%-CI, 0 to 6.9%) and significantly lower than at 5 vs. 7 mm or 9 vs. 7 mm (38% and 16%, each p < 0.05; Table 3) but similar to 5 vs. 5 mm and 9 vs. 9 mm (6% and 2%, each p > 0.5).
Table 3
Discordant cases relative to the reference algorithm (ASP)
| Discordant proportion, % (95%-CI) |
| 5 mm vs. 7 mm | 7 mm vs. 7 mm | 9 mm vs. 7 mm | 5 mm vs. 5 mm | 9 mm vs. 9 mm |
Strictly 19.5% | | | | | |
TOF4/8 | 38 (23.5 to 52.5) | 2 (0 to 6.9) | 16 (4.8 to 27.2) | 6 (0 to 13.6) | 2 (0 to 6.9) |
TOF4/16 | 44 (29.2 to 58.8) | --- | 14 (3.4 to 24.6) | --- | --- |
PSF + TOF2/17 | 12 (2.0 to 22.0) | 4 (0 to 10.4) | 12 (2.0 to 22.0) | 32 (18.1 to 45.9) | 6 (0 to 13.6) |
Q.Clear | 10 (0.7 to 19.3) | 10 (0.7 to 19.3) | 26 (12.8 to 39.2) | 38 (23.5 to 52.5) | 12 (2.0 to 22.0) |
5% tolerance | | | | | |
TOF4/8 | 36 (21.7 to 50.3) | 0 (0 to 1.0) | 12 (2.0 to 22.0) | 4 (0 to 10.4) | 0 (0 to 1.0) |
TOF4/16 | 36 (21.7 to 50.3) | --- | 10 (0.7 to 19.3) | --- | --- |
PSF + TOF2/17 | 10 (0.7 to 19.3) | 0 (0 to 1.0) | 8 (0 to 16.5) | 30 (16.3 to 43.7) | 0 (0 to 1.0) |
Q.Clear | 10 (0.7 to 19.3) | 6 (0 to 13.6) | 22 (9.5 to 34.5) | 36 (21.7 to 50.3) | 10 (0.7 to 19.3) |
Proportions of discordantly classified cases among all 50 patients are given in % (95%-confidence interval; 95%-CI) for each algorithm relative to the reference algorithm TOF4/16. Different pairs of reconstructed spatial resolution (FWHM) are compared. Missing values reflect pairs of identical datasets. Proportions are provided either for a strict ASP cut-off (high, > 19.5%; low, ≤ 19.5%) or with 5% tolerance (i.e., ASP was also rated concordant if between 18.53% and 20.48%). |
Conversely, PSF + TOF2/17 showed significantly lower proportions at 7 vs. 7 mm (4%; 95%-CI, 0 to 10.4%) compared to 5 vs. 5 mm (32%, p = 0.001) while proportions were similar to 5 vs. 7 mm, 9 vs. 7 mm and 9 vs. 9 mm (12%, 12% and 6%, each p > 0.1).
Q.Clear resulted in significantly lower proportions of discordant cases at 7 vs. 7 mm (10%; 95%-CI, 0.7 to 19.3%) than at 9 vs. 7 mm and 5 vs. 5 mm (26% and 38%, each p < 0.01) while proportions were similar to 5 vs. 7 mm and 9 vs. 9 mm (10% and 12%, each p = 1.0).
Proportions at 7 vs. 7 mm were comparable between TOF4/8 and PSF + TOF2/17 (2% vs. 4%; p = 1.0) while both algorithms showed slightly less discordant cases than Q.Clear (10%; each p > 0.1).
Proportions of discordant cases at 7 vs. 7 mm were comparable between ASP, SUVmax and MTV with TOF4/8 (2% vs. 6% vs. 2%; each p > 0.5), PSF + TOF2/17 (4% vs. 0% vs. 4%; each p = 1.0) and Q.Clear (10% vs. 6% vs. 8%; each p = 1.0; supplementary table 1).
The number of discordantly classified cases tended to decrease when allowing a ± 5% tolerance range around the ASP cut-off value (i.e., low ASP, < 20.48%; high ASP, > 18.53%; Table 3).
Relative differences and discordant cases (retrospectively smoothed data)
Comparing data that were retrospectively smoothed to achieve 7 mm reconstructed spatial resolution with the original 7 mm data, relative differences between TOF4/8 and the reference algorithm TOF4/16 were higher in retrospectively smoothed data for ASP but similar for SUVmax and MTV (details in Table 4). In contrast, relative differences with PSF + TOF2/17 were comparable for ASP and significantly higher in the smoothed data for SUVmax and MTV. With Q.Clear, relative differences for ASP, SUVmax and MTV were each significantly lower in the smoothed data compared to original 7 mm data.
Table 4
Relative differences to the reference algorithm: Smoothed data
| Relative differences, % (median, IQR) | P value |
| Smoothed to 7 mm vs. 7 mm | Original 7 mm vs. 7 mm |
ASP | | | |
TOF4/8 | 13.9 (9.3 to 32.8) | 7.6 (3.1 to 18.0) | 0.001 |
TOF4/16 | 9.1 (4.9 to 26.2) | --- | --- |
PSF + TOF2/17 | 17.7 (5.2 to 37.6) | 12.8 (6.3 to 26.9) | 0.9 |
Q.Clear | 17.6 (5.9 to 37.2) | 31.3 (11.2 to 43.7) | < 0.001 |
SUVmax | | | |
TOF4/8 | 1.6 (0.7 to 2.9) | 1.2 (0.6 to 2.0) | 0.08 |
TOF4/16 | 1.9 (1.0 to 3.3) | --- | --- |
PSF + TOF2/17 | 8.9 (4.4 to 12.6) | 4.9 (1.9 to 7.2) | < 0.001 |
Q.Clear | 4.8 (1.8 to 6.6) | 5.1 (2.4 to 10.6) | 0.021 |
MTV | | | |
TOF4/8 | 3.2 (1.5 to 5.8) | 2.3 (1.4 to 4.4) | 0.18 |
TOF4/16 | 3.1 (1.2 to 4.8) | --- | --- |
PSF + TOF2/17 | 10.6 (5.4 to 16.5) | 6.1 (3.1 to 12.7) | < 0.001 |
Q.Clear | 6.2 (3.4 to 9.8) | 6.3 (3.1 to 13.2) | 0.003 |
Relative differences (interquartile range; IQR) are given for each algorithm relative to the reference algorithm TOF4/16 at 7 mm FWHM (i.e., TOF4/16/6.4). Differences are displayed separately for either the retrospectively smoothed data (5 mm smoothed to 7 mm FWHM) or original 7 mm data. Missing values reflect pairs of identical datasets. Significant p values are printed in bold. |
Proportions of discordantly classified cases at 7 vs. 7 mm were comparable between retrospectively smoothed data and original 7 mm data for TOF4/8 (smoothed vs. original, 2% vs. 2%; p = 1.0), for PSF + TOF2/17 (4% vs. 4%; p = 1.0) and Q.Clear (6% vs. 10%; p = 0.5). The rate of discordant cases between retrospectively smoothed data and original 7 mm data for the reference algorithm TOF4/16 itself was 2% (95%-CI, 0 to 6.9%).
Relative differences and discordant cases (reduced acquisition time)
Relative differences in ASP, SUVmax and MTV at reconstructed spatial resolution of 7 mm (TOF4/8/6, TOF4/16/6.4, PSF + TOF2/17/7 and Q.Clear1750) and shorter acquisition times are displayed in supplementary tables 2 to 4. Independent from the acquisition time for the candidate algorithms, relative differences were always calculated with regard to the reference algorithm TOF4/16/6.4 at 180 s. Briefly, relative ASP, SUVmax and MTV differences with TOF4/8/6 and TOF4/16/6.4 were significantly higher at any shorter acquisition time (i.e., 120 s, 90 s and 60 s) than at 180 s. Relative differences with PSF2/17/7 tended to remain similar between 180 s and 90 s but increased significantly at 60 s. Q.Clear1750 mostly showed similar ASP, SUVmax and MTV differences between all acquisition times.
Proportions of discordantly classified cases of ASP, SUVmax and MTV with TOF4/8/6, PSF + TOF2/17/7 and Q.Clear1750 did not increase significantly with shorter acquisition time (each compared to 180 s; supplementary tables 5 to 7). Discordant cases with TOF4/16/6.4 remained similar at 120 s and 90 s but increased with 60 s acquisition time (McNemar’s test not applicable).