Shown in Fig. 3 are RA values measured for each image reconstruction series for the four larger sphere sizes in the phantom on Day 0. RA values of the 10 mm and 13 mm spheres are omitted from this figure due to their large uncertainty. With this data we investigated the effects of reconstruction method on RA to validate the accuracy of activity represented in these 90Y PET images to better understand the reliability of activity in patient images. As sphere size decreased so did the calculated RA value which is due to the partial volume effect [10]. Table 3 shows the two-tailed paired p-values comparing the calculated RA for a given sphere size across reconstruction methods over the course of decay. RA values obtained through Q. Clear reconstruction methods with β values of 4000 and 7000 are statistically different and lower than those obtained via β values of 350 and 1000. There is no statistical difference in RA values obtained when comparing based on β values 350 and 1000. There are similar RA values within each sphere when the two OSEM reconstruction methods are compared to one another but moreover cannot make a conclusive statement on differences among Q. Clear methods and OSEM methods I reference to RA. Q.Clear 350 gives the largest RA values for all the spheres, denoting this reconstruction method to be the most accurate representation of activity compared to the known injected value. There is a significant loss in accuracy in the amount of activity recovered in each sphere when looking at Q. Clear 4000 and 7000. However, looking at OSEM methods there are comparable RA values to those obtained through Q. Clear 350 and 1000.
Table 3
Two-tailed paired p-values for RA based on sphere size and reconstruction method
β-value
|
sphere size (mm)
|
Q. Clear 1000
|
Q. Clear 4000
|
Q. Clear 7000
|
OSEM 18
|
OSEM 24
|
Q. Clear 350
|
17
|
0.053*
|
0.030*
|
0.022*
|
0.078*
|
0.002*
|
|
22
|
0.103*
|
0.043*
|
0.027*
|
0.003*
|
0.048*
|
|
28
|
0.061*
|
0.029*
|
0.021*
|
0.917*
|
0.119*
|
|
37
|
0.068*
|
0.068*
|
0.012*
|
0.010*
|
0.001*
|
Q. Clear 1000
|
17
|
|
0.017*
|
0.011*
|
0.874*
|
0.461*
|
|
22
|
|
0.015*
|
0.009*
|
0.203*
|
0.610*
|
|
28
|
|
0.027*
|
0.018*
|
0.527*
|
0.453*
|
|
37
|
|
0.006*
|
0.005*
|
0.438*
|
0.041*
|
Q. Clear 4000
|
17
|
|
|
0.007*
|
0.109*
|
0.172*
|
|
22
|
|
|
0.005*
|
0.196*
|
0.303*
|
|
28
|
|
|
0.010*
|
0.104*
|
0.005*
|
|
37
|
|
|
0.004*
|
0.041*
|
0.148*
|
Q. Clear 7000
|
17
|
|
|
|
0.051*
|
0.072*
|
|
22
|
|
|
|
0.064*
|
0.122*
|
|
28
|
|
|
|
0.040*
|
0.003*
|
|
37
|
|
|
|
0.018*
|
0.038*
|
OSEM 18
|
17
|
|
|
|
|
0.640*
|
|
22
|
|
|
|
|
0.679*
|
|
28
|
|
|
|
|
0.364*
|
|
37
|
|
|
|
|
0.029*
|
*Denotes significance with a p-value less than 0.05 |
The dosimetric effects of these reconstruction methods in patient post-TARE Y90 PET images with support from phantom studies is the focus of the study. Figure 4 shows a dose profile based on our phantom Y90 PET image comparing the different Q.Clear β values while dose calculation algorithm was held constant. Moreover, Fig. 5 shows a representative dose profile for our patient data. In both figures you can see there is a smoothing effect within the dosimetry due to reduction in noise as β value increases which was quantitatively shown by Scott and McGowan[10].
Through comparable RA values and apparent noise reduction as beta values increase[10] there is no added value in using Q. Clear 350 over Q.Clear 1000 and only gives increased noise that effects resulting dosimetry in an unfavorable manner shown through the dose profiles in Figs. 4 and 5. There is a grouping of profiles in Fig. 5 based on Q. Clear 1000, OSEM 18 and OSEM 24 reconstruction methods showing spatial similarity but further analysis is necessary to determine absolute dose similarities.
Initially a complete analysis on all 6 reconstruction methods were performed for all of our patients. For the purposes of presenting data in a clear manner, we chose to present the data for the following four reconstruction methods: Q. Clear 1000, Q. Clear 4000, OSEM 18 and OSEM 24. Our rational behind these four methods was based on our phantom study results which eliminated Q.Clear 350 and Q.Clear 7000. Although Q. Clear 4000 appears to be inferior to Q.Clear 1000, it is included in our presented analysis due to Rowley et al. deeming it to be visually optimal[12].
A large problem with trying to use radioactive emission images for quantitative purposes is the effect of background noise on activity accuracy. We sought to understand the effects of background on dose distributions and how the various reconstruction methods handle this added noise that is patient specific. Overall, both Q. Clear and OSEM methods sufficiently handle background within their algorithms based on this study’s definition of what was background activity. Figure 6 shows an example of the dose profiles comparing dose distributions with and without background subtraction for a representative patient. A two-tailed p-value for each patient comparing these dose profiles was calculated and showed no statistical difference between WFBH and WFBH Bkgrd dose distributions. Furthermore, Table 4 shows the local gamma analysis, which compares percent dose difference relative to the dose at the given point [25], values between WFBH and WFBH Bkgrd dose distributions with 3% dose difference at 3 mm distance with no low dose threshold. Gamma values had an average of 98.01% with standard deviation of 3.75%. Figure 7 then shows DVH curves for the liver contour and treated area for a representative patient. The treated area is defined to be the volume that has a dose value greater than 20% of the max dose. Overall, with both Q. Clear and OSEM reconstruction methods there was no significant effect on 90Y PET based post-TARE dosimetry found when taking the additional step of background subtraction and therefore the reconstruction algorithms themselves handle this appropriately from the beginning.
Table 4
Local gamma analysis values between WFBH and WFBH Bkgrd dose distributions
patient no.
|
Q.Clear 1000
|
Q.Clear 4000
|
OSEM 18
|
OSEM 24
|
1
|
96.05
|
99.30
|
99.99
|
97.97
|
2
|
97.53
|
99.99
|
99.98
|
99.84
|
3
|
99.47
|
99.95
|
99.75
|
99.85
|
4
|
99.91
|
98.82
|
97.21
|
98.67
|
5
|
98.57
|
99.46
|
94.06
|
98.98
|
6
|
98.63
|
99.99
|
99.93
|
86.32
|
7
|
99.64
|
100.00
|
99.79
|
99.90
|
8
|
92.35
|
98.83
|
99.99
|
99.96
|
9
|
90.65
|
99.63
|
99.98
|
98.31
|
10
|
82.74
|
99.69
|
99.80
|
99.96
|
11
|
90.99
|
99.98
|
99.89
|
99.99
|
Comparing our WFBH convolution algorithm to the MIRD convolution algorithm through two tailed paired p-values of dose profiles and DVH curves, no statistical difference among WFBH and MIRD dose algorithms were found. Figure 8 shows representative DVH curves comparing MIRD and WFBH dose algorithms and their agreement. Note that the outlier sets of DVH curves are based on the Q. Clear 4000 reconstruction method.
Comparing LDM dose algorithm to MIRD for post-TARE 90Y PET/CT patient images, LDM was statistically more dependent on reconstruction method than MIRD. For each patient the max dose obtained via LDM and MIRD for each reconstruction method was recorded and it was found that the standard deviation (SD) of the max dose values among the reconstruction methods were statistically higher (p-value = 0.048) within the LDM calculated values compared to the MIRD values. The spread of these deviations are shown in Fig. 9 and highlights how much the max dose fluctuates as a result of reconstruction method when using LDM. This same variance in max dose values based on reconstruction method was found in our phantom study with a SD between the reconstruction methods for LDM being 137.98 and MIRD being 52.51As detailed in Table 5, LDM is giving consistently higher dose values across the reconstruction methods when compared to their MIRD counterpart.
Table 5
Ratio of max dose value calculated by LDM to MIRD, averaged over all patients
|
Q. Clear 1000
|
Q. Clear 4000
|
OSEM 18
|
OSEM 24
|
Average
|
1.987418
|
1.264204
|
1.224291
|
1.265757
|
Standard deviation
|
0.924286
|
0.466666
|
0.425819
|
0.392314
|
This overestimation of high dose regions is not just a scaling factor of the entire dose distribution as shown by the leftward shift in Fig. 10, where the percent of contour max is shown on the x-axis. If this were a scaling factor, then the DVH curves for the two dose algorithms would overlap with this renormalization to their respective max dose in place. However, instead we see that LDM algorithm derived dose distributions have a small percentage of volume with a high dose point thus there is a larger amount of lower dose values in comparison to MIRD derived dose distributions. Additionally, Fig. 11 plots absolute dose on the x-axis and shows that for higher dose values the LDM DVH curves cross over the MIRD DVH curves. Taking Figs. 10 and 11 together, the LDM model underestimates low dose values and over estimates high dose values. The variance in LDM dose estimation, along with the LDM sensitivity to reconstruction method, leads us to recommend the use of MIRD S Voxel algorithms for post-TARE 90Y PET based dosimetry models.
Lastly, comparing our two OSEM reconstruction variations, the dose distributions for OSEM 18 and OSEM 24 are spatially comparable to the dose distributions based on our Q. Clear 1000 reconstruction algorithm. This is shown through dose profiles in Fig. 4 as well as DVH curves in Figs. 7–11. However, when looking at the max dose values in comparison to max dose values obtained via Q. Clear 1000, there is a statistical difference (p-value = 0.035) among the two groups with the average ratio to Q. Clear 1000 for OSEM 18 being 0.85 (SD = 0.15) and the average ratio for OSEM 24 being 0.96 (SD = 0.14) across all of our patients.