Introduction
The introduction of Long-Axial-Field-of-View (LAFOV) PET-CT scanners has marked a new era in molecular imaging. Whole body PET-CT studies can be performed with lower doses of a radiopharmaceutical and within a short acquisition time at least for routine purposes. All these technological improvements have a major impact particularly in oncological patients. Furthermore, LAFOV PET-CT systems allow for the first-time whole body (WB) dynamic imaging and WB pharmacokinetic studies [
1‐
3]. This is in particular interesting for the evaluation of novel radiopharmaceuticals. The potential of WB dynamic imaging including pharmacokinetic modeling and parametric imaging for the most common used radiopharmaceutical, 2-deoxy-2- [fluorine-18] fluoro-D-glucose ([
18F]FDG), is under evaluation. [
18F]FDG is still used in the clinical routine of oncology for several indications, including diagnosis, staging, restaging as well therapy response evaluation [
4].
In most oncological studies, the acquisition protocol includes the skull base to the upper thigh, which covers most relevant portions of the body. The recently introduced LAFOV PET/CT systems, such as the Biograph Vision Quadra (Siemens Healthineers) with approximately one meter FOV and the total body uEXPLORER (United Imaging) with approximately two meters FOV, which are digital total-body PET/CT systems enable both the coverage of one to two meter within one position and a significant increase in system sensitivity [
1,
3,
5,
6]. In dynamic PET in particular, the new scanners dramatically enhance its capabilities, enabling for the first time the dynamic acquisition of the body trunk in a single measurement. This allows the simultaneous evaluation of radiotracer kinetics of most organs and tumor lesions, using large vessels for image-derived input function (IDIF) calculation, thus providing robust information on in vivo tracer biology [
7‐
9].
The dynamic study of the new scanner also produces a much larger dataset than the traditional PET/CT scanner. The feasibility of kinetic modelling methods like two-tissue-compartment model (2TCM) and Patlak model also need to be evaluated with the new LAFOV system [
10,
11]. In addition to volume-of-interest (VOI)-based analyses using the averaged time activity curve (TAC) from a VOI, kinetic modelling can generate parametric images of isolated parameters of the radiotracer pharmacokinetics at the voxel level. Parametric images can be generated from reconstructed dynamic PET images, known as indirect method, or directly from PET sinogram data, known as direct method [
12].
In the present study, we investigated oncological patients with the new LAFOV Biograph Vision Quadra PET/CT after application of low-dose [18F] FDG. Our aim was to evaluate whether Patlak imaging is feasible with a new LAFOV system. The primary aim of this study was the comparison of direct and indirect Patlak imaging as well as the comparison of different time frames for Patlak calculation with the LAFOV PET-CT in oncological patients. Secondary objectives of the study were lesion detectability and comparison of Patlak analysis with a VOI-based two-tissue-compartment model (2TCM) analysis.
Materials and methods
Patients
A total of 50 consecutive oncological patients with different tumor entities (mean age 63.4 years, range 21–91 years) were enrolled in this retrospective analysis of prospectively designed study protocols and underwent dynamic [
18F] FDG PET/CT for staging or re-staging purposes or as baseline study prior to onset to treatment. All patients had histologically confirmed tumors. Patient characteristics are summarized in Table
1. The study was conducted in accordance with the Declaration of Helsinki, and was approved by the Ethics Committee of the University of Heidelberg (S-107/2012, S-879/2020, S-950/2021). All patients gave written informed consent to undergo [
18F]FDG and to have their medical records released. Patient preparation was done according to the EANM guidelines for tumor imaging [
13].
Table 1
Characteristics of the patients investigated
1 | F | 91 | 125 | Melanoma | 26 | F | 76 | 93.48 | Melanoma |
2 | F | 62 | 171 | Melanoma | 27 | M | 64 | 140.04 | Melanoma |
3 | M | 60 | 192 | Melanoma | 28 | M | 66 | 179.63 | Melanoma |
4 | F | 73 | 182 | Non-small cell lung cancer | 29 | M | 37 | 158.8 | Uvea Melanoma |
5 | M | 83 | 251 | Melanoma | 30 | F | 40 | 270.78 | Sarcoma* |
6 | M | 72 | 153.12 | Small cell lung cancer | 31 | M | 83 | 183.44 | Melanoma |
7 | M | 21 | 176.69 | Sarcoma | 32 | M | 60 | 138.27 | Melanoma |
8 | M | 66 | 176 | Melanoma | 33 | M | 65 | 159.77 | Bladder tumor |
9 | F | 70 | 107 | Melanoma | 34 | F | 60 | 121.22 | Melanoma |
10 | M | 79 | 198 | Melanoma | 35 | F | 69 | 138.62 | Non-small cell lung cancer |
11 | M | 47 | 229 | Melanoma | 36 | M | 75 | 173.48 | Uvea Melanoma |
12 | F | 59 | 121. | Non-small cell lung cancer | 37 | F | 60 | 165.68 | Non-small cell lung cancer |
13 | M | 69 | 243.13 | Chondrosarcoma* | 38 | M | 60 | 165.14 | Non-small cell lung cancer |
14 | F | 61 | 117.69 | Small cell lung cancer | 39 | M | 57 | 132.65 | Non-small cell lung cancer |
15 | M | 68 | 199.59 | Uvea Melanoma | 40 | F | 64 | 142.46 | Non-small cell lung cancer |
16 | M | 41 | 139.68 | Melanoma | 41 | M | 61 | 139.15 | Non-small cell lung cancer |
17 | M | 75 | 146.22 | Melanoma | 42 | M | 66 | 170.21 | Small cell lung cancer |
18 | F | 41 | 224.15 | Sarcoma | 43 | M | 64 | 166.54 | Pleural mesothelioma |
19 | M | 65 | 152.4 | Melanoma | 44 | M | 56 | 176.34 | Melanoma |
20 | F | 23 | 175.55 | Sarcoma | 45 | M | 64 | 143.35 | Small cell lung cancer |
21 | F | 72 | 117.39 | Melanoma | 46 | M | 78 | 162.59 | Small cell lung cancer |
22 | M | 80 | 171.82 | Melanoma | 47 | F | 73 | 129.01 | Small cell lung cancer |
23 | M | 67 | 155.52 | Lymphoma | 48 | M | 74 | 158.19 | Bladder tumor |
24 | F | 62 | 169.87 | Uvea Melanoma | 49 | F | 65 | 113.31 | Non-small cell lung cancer |
25 | F | 60 | 94.81 | Non-small cell lung cancer | 50 | F | 66 | 102.02 | Uvea Melanoma |
PET/CT examination
All patients fasted for at least 6 h before [18F]FDG administration. Patients underwent PET/CT with a LAFOV scanner (Biograph Vision Quadra, Siemens Co., Erlangen, Germany) after intravenous administration of a body weight-adjusted activity of 2 MBq/kg [18F]-FDG (mean 160 MBq; range 102–270 MBq).
PET/CT dynamic data acquisition was performed from the top of the head to the upper thigh (FOV 106 cm) for 60 min after i.v. injection of the radiotracer using a 33-frame protocol (10 frames of 15 s, 5 frames of 30 s, 5 frames of 60 s, 5 frames of 120 s, and 8 frames of 300 s).
All PET images were acquired in high resolution mode (HS mode, 18° acceptance angle), attenuation-corrected and an image matrix of 440 × 440 pixels was used for iterative image reconstruction. Images were reconstructed using the manufacturer’s standard reconstruction method (Siemens Healthineers) using the point spread function + time-of-flight algorithm (PSF + TOF, 4 iterations x 5 subsets) without Gaussian filtering into 1.65 × 1.65 × 1.65 mm3 voxels. A low-dose attenuation CT (120 kV, 30 eff. mA) was used for attenuation correction of the dynamic emission PET data and for image fusion.
Patlak imaging
Whole-body parametric images (FOV: 106 cm) were generated using the direct and indirect Patlak methods, with the Image-Derived Input Function (IDIF) of the descending aorta as the exclusive input function. In the direct Patlak reconstruction method, we used a dedicated Patlak module implemented in the e7 tools that is an investigational research prototype software for PET image reconstruction and parametric imaging (Siemens Healthineers). Following the recommendation from the experts of Siemens Healthineers, we only used the short-time 30 min protocol in 6 frames (last 6 frames of 300 s), which is referenced as short-time-direct (STD) protocol. In the indirect Patlak reconstruction method, we used a dedicated software PMOD (PMOD Technologies, Zurich, Switzerland), which can setup time protocol fast and easily. We tested two different time protocols: (1) the same protocol as the one used for direct Patlak which is referenced as short-time-indirect (STI) protocol; (2) A long-time 59.25 min protocol consisted of 30 frames, which skipped the first 3 frames in order to reduce the background of blood vessels and is referenced as long-time-indirect (LTI) protocol.
Data analysis
Visual assessment of Patlak parametric images
Patlak parametric image analysis was performed using a dedicated imaging workstation and software (aycan OsirixPRO). Two experienced, board-certified nuclear medicine physicians well versed in PET oncological diagnosis and pharmacokinetic modeling (CS, ADS) read the datasets together and any disagreements were resolved by consensus.
Visual analysis was based on the identification of sites of focally enhanced [18F]FDG uptake relative to local background, which were considered suggestive of tumor involvement (tumor lesions) after disregarding known benign [18F]FDG avid structures, such as sites of unspecific uptake after comparison with the low dose CT and the patient history, e.g. immune-related adverse events (irAEs) in melanoma patients after immunotherapy or pneumonitis in lung cancer patients etc. The number of tumor lesions was determined in each scan, with a maximum of up to 20 lesions being calculated per patient. With regard to lesion detectability, the results of the 10-min SUV images served as a reference for the comparison with the results of the Patlak Ki images (STD, STI and LTI). Reference for the tumor lesions was the clinical follow-up and other diagnostic imaging modalities, like diagnostic CT and MRI. The majority of the patients (48/50) had a metastatic disease and received therefore oncological treatment. A histological confirmation of every metastasis was not possible.
Objective evaluation of Patlak parametric image quality
Evaluation of the dynamic PET/CT data was also based on VOIs drawn over tumor lesions and normal tissues. Normal tissues included the following organs: liver, kidney, lung, spleen, bone and muscle. In particular, tumor lesions were assessed using irregular VOIs using an isocontour mode and placed over the entire lesions. For normal organs in the liver, spleen and lung, VOIs were drawn after placing spherical VOIs covering approximately five consecutive slices and using an isocontour mode. For the kidneys, manual VOIs were placed in the renal parenchyma (renal cortex). For bone and muscle, irregular VOIs were placed in the 5th lumbar vertebra and the gluteal muscle accordingly. Due to its reasonably uniform tracer uptake, the liver parenchyma was used for background. Blood pool calculations were obtained from the average of the descending aorta VOI data, consisting of at least seven slices in sequential PET/CT images, placed centrally in the lumen of the aorta without including the aortic wall.
To quantitative compare SUV images and different K
i images (STD, STI and LTI), target-to-background ratio (TBR) and contrast-to-noise ratio (CNR) for individual tumor lesions were calculated, as described in Eqs.
1–
4. The liver parenchyma was used as background for these calculations.
$$\:{\text{T}\text{B}\text{R}}_{\text{mean}}\:=\frac{\text{M}\text{e}\text{a}\text{n}\left({\text{V}\text{O}\text{I}}_{\text{L}\text{e}\text{s}\text{i}\text{o}\text{n}}\right)\:}{\text{M}\text{e}\text{a}\text{n}\left({\text{V}\text{O}\text{I}}_{\text{B}\text{a}\text{c}\text{k}\text{g}\text{r}\text{o}\text{u}\text{n}\text{d}}\right)\:}$$
(1)
$$\:{\text{C}\text{N}\text{R}}_{\text{mean}}\:=\frac{\text{M}\text{e}\text{a}\text{n}\left({\text{V}\text{O}\text{I}}_{\text{L}\text{e}\text{s}\text{i}\text{o}\text{n}}\right)\:-\:\text{M}\text{e}\text{a}\text{n}\left({\text{V}\text{O}\text{I}}_{\text{B}\text{a}\text{c}\text{k}\text{g}\text{r}\text{o}\text{u}\text{n}\text{d}}\right)\:}{\text{S}\text{T}\text{D}\left({\text{V}\text{O}\text{I}}_{\text{B}\text{a}\text{c}\text{k}\text{g}\text{r}\text{o}\text{u}\text{n}\text{d}}\right)\:}$$
(2)
$$\:{\text{T}\text{B}\text{R}}_{\text{max}}\:=\frac{\text{M}\text{a}\text{x}\left({\text{V}\text{O}\text{I}}_{\text{L}\text{e}\text{s}\text{i}\text{o}\text{n}}\right)\:}{\text{M}\text{e}\text{a}\text{n}\left({\text{V}\text{O}\text{I}}_{\text{B}\text{a}\text{c}\text{k}\text{g}\text{r}\text{o}\text{u}\text{n}\text{d}}\right)\:}$$
(3)
$$\:{\text{C}\text{N}\text{R}}_{\text{max}}\:=\frac{\text{M}\text{a}\text{x}\left({\text{V}\text{O}\text{I}}_{\text{L}\text{e}\text{s}\text{i}\text{o}\text{n}}\right)\:-\:\text{M}\text{e}\text{a}\text{n}\left({\text{V}\text{O}\text{I}}_{\text{B}\text{a}\text{c}\text{k}\text{g}\text{r}\text{o}\text{u}\text{n}\text{d}}\right)\:}{\text{S}\text{T}\text{D}\left({\text{V}\text{O}\text{I}}_{\text{B}\text{a}\text{c}\text{k}\text{g}\text{r}\text{o}\text{u}\text{n}\text{d}}\right)\:}$$
(4)
VOI-based evaluation of dynamic PET/CT data using 2 tissue-compartment model
Besides the Patlak model, we also used a VOI-based analysis based on a 2 tissue-compartment model (2TCM) to our dynamic data using PKIN module of PMOD software. Due to the complexity of the 2TCM and limited performance of the dedicated software, we only focused on the VOI-based evaluation of 2TCM and not on the calculation of parametric images. In order to simulate the voxelwise 2TCM parametric imaging as closely as possible, we only choose the first fit result of iterative fitting of 2TCM without further manual fitting and without any parameter value restrictions. First fit result is a series of fitting either reaching the max number of iterations or reaching the minimum change of fitting criterions like ChiSquare. In order to compare the Patlak method with the 2TCM, we fixed the k
4 to zero (irreversible 2TCM). Semi-quantitative evaluations were performed based on SUV calculations 50–60 min after tracer injection (the average SUV of the last two frames of the dynamic PET acquisition) generated from the VOIs placed over tumor lesions and normal organs. In addition, a detailed quantitative evaluation of the pharmacokinetics of [
18F]FDG derived from the entire 60-min dynamic PET acquisition in tumor lesions and normal organs mentioned above was performed using a reversible 2TCM. The 2TCM includes the plasma compartment (C
plasma), the transported [
18F]FDG in C
1 and the phosphorylated [
18F]FDG (FGD-6-P) concentration in C
2 [
8]. The 2TCM fitting of averaged time-activity curves (TACs) from VOIs of tumor lesions and normal organs leads to the extraction of the parameters vB (unitless), K
1 (mL/ccm/min), k
2 (min
− 1), k
3 (min
− 1) and k
4 (min
− 1). In particular, vB is the blood volume fraction, K
1 and k
2 are the uptake and clearance rate constants, whereas k
3 represents the phosphorylation by hexokinase and k
4 the dephosphorylation. Furthermore, the global tracer influx K
i (mL/ccm/min) was calculated from the compartment data using the formula:
\(\:{\text{K}}_{\text{i}}=\:({\text{K}}_{1}\times\:{\text{k}}_{3})/({\text{k}}_{2}+{\text{k}}_{3})\). The TBR
mean of K
i and k
3 of VOI-based 2TCM were also calculated using Eq.
1. However,
\(\:\text{M}\text{e}\text{a}\text{n}\left({\text{V}\text{O}\text{I}}_{\text{L}\text{e}\text{s}\text{i}\text{o}\text{n}}\right)\:\)and
\(\:\text{M}\text{e}\text{a}\text{n}\left({\text{V}\text{O}\text{I}}_{\text{B}\text{a}\text{c}\text{k}\text{g}\text{r}\text{o}\text{u}\text{n}\text{d}}\right)\:\) were simulated using single value of K
i or k
3 fitted from the averaged TAC of the tissue VOIs instead of the average value of K
i or k
3 fitted from each voxel TAC in the VOIs.
Statistical analysis
Continuous variables were expressed as mean ± standard deviation (SD). Image quality parameters TBRmean and CNRmean of Patlak images and sumSUV images were compared using Wilcoxon matched-pairs signed-rank test. Further, differences between kinetic parameters of tumor lesions and normal organs were evaluated using the Student’s t-test. Correlations between the kinetic parameters Ki from 2TCM and Ki from Patlak images were investigated using Spearman’s rank correlation analysis. Statistical significance was considered for p-values less than 0.05. Statistical analysis was performed with Stata/MP 14.2 (StataCorp LLC).
Discussion
LAFOV and total body PET/CT systems have opened up new possibilities, particularly in oncological imaging, due to their higher sensitivity, the ability to perform WB imaging in a short time and due to the fact that these systems allow WB dynamic studies and therefore WB parametric imaging. This aspect is of particular importance for the assessment of pharmacokinetics of various, especially novel, radiopharmaceuticals [
5]. Another aspect is the question if dynamic imaging can be introduced into clinical routine. This will be only the case if dynamic scanning and parametric imaging provide additional findings which have a clinical impact, e.g., a change in patient staging by up- or downstaging or a therapeutic decision.
Parametric imaging is a method of feature extraction method that allows the visualization of an isolated parameter of tracer kinetics based on dedicated mathematical models and a voxel-wise calculation. The advantage over a VOI-based pharmacokinetic analysis is the direct visualization of different kinetic parameters, such as tracer influx or transport rates (K
1, k
2, etc.), instead of calculating absolute numbers [
12]. Specifically for [
18F]FDG, Patlak imaging generates two parametric images, the so-called Influx or K
i images, which are related to the phosphorylated [
18F]FDG, and the distribution volume or DV images, which are related to the perfusion-dependent and transported but not metabolized [
18F]FDG.
The published data focusing on [
18F]FDG demonstrate higher contrast of the parametric Patlak images compared to the summed [
18F]FDG images approximately one hour after tracer injection, but do not show more findings on either on a patient or lesion basis. Fahrni et al. evaluated 18 oncological patients with different tumor entities and compared SUV to Patlak K
i images [
14]. The authors also demonstrated a higher TBR and CNR for K
i as compared to SUV, which is comparable to our results. Overall, the results from 40 proven malignant lesions suggested a slightly improved sensitivity (from 92.5 to 95%) and accuracy (from 90.24 to 95.12%), and potentially improved specificity with K
i over SUV imaging. One lesion, later confirmed to be benign, was positive on SUV and negative on K
i .
Dias et al. investigated the impact of direct Patlak imaging in 109 oncological tumor patients with a Standard-Axial-Field-of-View (SAFOV) digital PET system of 26 cm FOV by using a multibed protocol [
15]. The authors could not find any significant differences in the number of pathological lesions detected by direct Patlak as compared to conventional static images. However, they reported a higher TBR and CNR ratio for K
i images as compared to SUV. These results are comparable with our findings. Furthermore, they reported on 4 fewer false positive findings in Patlak K
i than in the SUV images. In our study, we observed three discordant findings in Patlak images as compared to sumSUV including one true positive, one false positive and one true negative.
Most of the published work is based on so-called postprocessing parametric Patlak images, which are based on the reconstructed PET images. However, software tools are available from manufacturers that allow the so-called direct image reconstruction of Patlak images based on the sinograms obtained [
16‐
18]. This approach produces two sets of images, the distribution volume (DV) images, which reflect the perfusion-related part of [
18F]FDG, and the influx or K
i images, which reflect the phosphorylated part of the tracer.
Sari et al. used both direct and indirect Patlak imaging in 24 oncological patients (49 tumor lesions) studied with [
18F]FDG and LAFOV PET-CT (Biograph Vision Quadra) [
8]. The authors reported that both direct and indirect Patlak imaging demonstrated superior TBR as compared with static SUV images. Regarding CNR, they reported a twofold higher CNR for direct than for indirect Patlak in tumor lesions, which is concordant with our results using the short-time protocols. There are some differences between the work of Sari et al. and our data. Firstly, Sari et al. did not use different time intervals for direct and indirect Patlak calculations. Secondly, the authors used the surrounding tissue and not the normal liver parenchyma as background tissue. The choice of background tissue is controversial and there is no general recommendation on the reference tissue, which should be used. However, the liver is used as reference in several papers and most importantly as a criterion for defining response to therapy with different response criteria, e.g. the Deauville criteria [
19] for lymphoma and also in all sets of PERCIST criteria [
20] .Other groups working with the Biograph Vision Quadra have also recently used the liver as a background [
21]. We decided to use the normal liver parenchyma because it is clinically used also within different response criteria. We could demonstrate that TBR for LTI Patlak K
i were higher than for STD Patlak K
i and CNR for LTI Patlak K
i was comparable with CNR for STD Patlak K
i (Table
2). Furthermore, the authors compared the relationship between SUV and K
i values. They report a very strong correlation between SUV values and MRFDG values estimated using the direct Patlak method (
r = 0.96) and the indirect Patlak method (
r = 0.94). We focused on the correlation between K
i of 2TCM and Patlak. We found the highest correlation between the K
i of the VOI-based 2TCM with the K
i of LTI Patlak (
r = 0.95) in tumor lesions group and the highest correlation with the STD Patlak K
i in all tissues group and normal tissues group (
r = 0.93 and
r = 0.74 respectively). We would also like to emphasize that our results are based on a larger cohort of 50 patients and 346 tumor lesions.
Wu et al. evaluated the impact of the time used for Patlak imaging in 65 patients with [
18F]FDG and a total body PET-CT scanner (uExplorer) [
22]. In this paper a voxelwise Patlak analysis was applied to generate K
i images based on IDIF as well as on a population -based- input function (PBIF) with different acquisition times (20–60, 30–60, 40–60, and 44–60 min) and found that the K
i images generated by the PBIF-based Patlak model using a 20-min dynamic scan achieved a similar diagnostic efficiency to images with IDIF from 40-min dynamic data. We used an IDIF in the descending aorta on at least 7 sequential images to create a VOI and did not use a PBIF. Therefore, we cannot compare our results to the work of Wu et al. concerning the impact of input function. Our goal was not to shorten the acquisition time but primarily to find the best time window for high quality Patlak images regarding TBR and CNR. Also Wu et al. reported on a better image quality, image noise and lesion conspicuity for longer time series than for shorter times. A limitation of the work of Wu et al. is that they did not focus on oncological patients but used [
18F]FDG studies in different patients not further specified or in volunteers.
Overall, the selection of the time frame has an impact on the Patlak analysis. This means that even for a simple parametric method like Patlak imaging, there are still some variables that need to be adjusted. From this point of view, the indirect Patlak method has an advantage because the equilibrium time can be easily and quickly adjusted. As there is no generally accepted threshold for the equilibrium time, we wanted to compare the standard approach and assess the potential benefits of a long time protocol. The results demonstrate that the contrast is higher for the long time protocols. The selection of the appropriate time frame for Patlak analysis is crucial. Our original idea was to compare the standard Patlak approach using the last 30 min of the 60 min acquisition with a long time protocol consisting of 59 min by excluding only the initial part of the curve with the peak of the tracer uptake. Additionally to the exclusion of the first 45 s we calculated also a long time protocol by excluding the first 300 s. The 55Min-LTI results were comparable to the 59Min-LTI results, which are presented in the supplement.
The impact of the applied dose with this LAFOV system has been investigated in our previous works [
23,
24]. The standard dose for [
18F]FDG in Germany is 3 MBq/kg. We decided to use 2 MBq/kg in order to reduce the radiation exposure in patients, taking also into consideration that most of them have been studied longitudinally. In terms of image quality it would have been probably better not to reduce the radiopharmaceutical dose, but this was considered a reasonable compromise for performing dynamic [
18F]FDG PET/CT studies in oncological patients combined with a standard static PET/CT protocol, which is necessary for clinical purposes.
In most published papers, researchers either used VOI-based pharmacokinetic modeling depending on the tracer, such as 1TCM or 2TCM, or they used mostly parametric Patlak imaging to differentiate between normal tissue and tumor lesions, but not the combination of both [
23,
25‐
27], with only few exceptions [
28]. In this work, we performed a combined evaluation and observed that different models have different performance between normal tissues and tumor lesions. In particular, we found that K
i from Patlak imaging performed better in normal lung but k
3 based on 2TCM performed better in normal liver. Therefore, a combination of the different models and AI-based approaches that allow for a better image segmentation of normal organs as well as improved compartment modelling may lead to better results and help to calculate parametric images with better TBR in the whole body [
29,
30].
Limitations
There are some limitations in our work. Firstly, we did not evaluate the long time Patlak using the direct approach for technical reasons. Another limitation is that it would be probably preferable to compare Patlak modeling with 2TCM voxel-wise parametric imaging. Patlak imaging is a linear approach and not comparable to the more complex iterative fitting based 2TCM method. However, a general problem and limitation is that 2TCM is based on several assumptions and is operator dependent, depending for example on the type of input function, delay correction, local minimum of iterative fitting, fixed parameters such as VB and k4 etc. Some of these problems can be handled manually for VOI-based approaches, but cannot be easily solved for voxel-based parametric imaging. Therefore, in the current work we couldn’t assess 2TCM parametric imaging and compare it directly with Patlak imaging. However, we will soon have access to the appropriate software for such evaluations and will make this comparison in a future work [
31]. A technical limitation is the fact that we could not use more frames for the reconstruction of a dynamic data acquisition due to the large data volume. This may have an impact on short time indirect Patlak calculations (STI). However, this fact does not affect direct Patlak calculations, which are based on sinograms. Finally, not all metastatic findings were histologically confirmed. However, all patients had a histologically confirmed primary tumor and at least one metastatic lesion prior to treatment. It is well known that it is impossible to have a histologic confirmation of every lesion. Moreover, all patients had additional imaging with either diagnostic, contrast-enhanced CT or MRI. For example, we managed to further assess the questionable finding in LTI Patlak K
i image by additional liver MRI.
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