Factors affecting tumor 18 F-FDG uptake in longitudinal mouse PET studies
© Sha et al.; licensee Springer. 2013
Received: 9 May 2013
Accepted: 19 June 2013
Published: 10 July 2013
Many biological factors of 2-[18 F]fluoro-2-deoxy-d-glucose (18 F-FDG) in blood can affect 18 F-FDG uptake in tumors. In this study, longitudinal 18 F-FDG positron emission tomography (PET) studies were performed on tumor-bearing mice to investigate the effect of blood glucose level and tumor size on 18 F-FDG uptake in tumors.
Six- to eight-week-old severe combined immunodeficiency mice were implanted with glioblastoma U87 (n = 8) or adenocarcinoma MDA-MB-231 (MDA) (n = 11) in the shoulder. When the tumor diameter was approximately 2.5 mm, a 60-min dynamic 18 F-FDG PET scan was performed weekly until the tumor diameter reached 10 mm. Regions of interests were defined in major organs and tumor. A plasma curve was derived based on a modeling method that utilizes the early heart time-activity curve and a late-time blood sample. The 18 F-FDG uptake constant K i was calculated using Patlak analysis on the tumors without an apparent necrotic center shown in the PET images. For each tumor type, the measured K i was corrected for partial volume (PV), and multivariate regression analysis was performed to examine the effects of blood glucose level ([Glc]) and tumor growth. Corrected Akaike's information criterion was used to determine the best model.
The regression model that best fit the PV-corrected K i for U87 data was K i /RC = (1/[Glc]) × (0.27 ± 0.027) mL/min/mL (where [Glc] is in mmol/L), and for MDA, it was K i /RC = (0.04 ± 0.005) mL/min/mL, where K i /RC denotes the PV-corrected K i using an individual recovery coefficient (RC). The results indicated that 18 F-FDG K i /RC for U87 was inversely related to [Glc], while [Glc] had no effect on 18 F-FDG K i /RC of MDA. After the effects of PV and [Glc] were accounted for, the data did not support any increase of 18 F-FDG K i as the tumor (of either type) grew larger in size.
The effect of [Glc] on the tumor 18 F-FDG K i was tumor-dependent. PV- and [Glc]-corrected 18 F-FDG K i did not show significant increase as the tumor of either type grew in size.
Small-animal positron emission tomography (PET) imaging is being used increasingly in preclinical research. The use of glucose analogue 2-[18 F]fluoro-2-deoxy-d-glucose (18 F-FDG) for the in vivo measurement of local glucose utilization rate in oncological animal models has been a valuable tool for evaluation of treatment response. Longitudinal imaging allows tracking of the disease progression and provides more sensitive qualitative and quantitative assessments of the effects of an intervention than non-longitudinal measurements [1, 2]. Reduction in 18 F-FDG uptake from its baseline value is usually used as an indicator of the tumor response to treatment. Standard uptake value (SUV)  is commonly used as a measure of glucose utilization activity, but it can be influenced by a variety of biologic and technical factors, including the plasma time-activity curve and blood glucose level . The effect of blood glucose level on 18 F-FDG uptake in tumors has been investigated before but with conflicting results. Some found benefit in normalizing SUV by blood glucose level [5–7]; others found no benefit [8–10]. Our previous work also indicated that 18 F-FDG uptake in various tissues is affected by blood glucose level differently . It is likely that the value of SUV may not necessarily reflect directly the glucose utilization rate in the tissue of concern, and adjustments for glucose level should not be done indiscriminately.
In this work, we addressed the effect of blood glucose level and tumor growth on both the SUV and 18 F-FDG uptake constant (K i ) in two different types of tumors. The input function for the calculation of 18 F-FDG K i was derived based on a modeling method that utilizes the early-time dynamic PET images of the heart chamber and a single blood sample taken at the end of the scan ; so, the experimental animal did not need to be sacrificed after each scan, and multiple longitudinal studies could be performed. The use of an input function for quantitation of biological function seeks to reduce many effects due to systemic variations.
Tumor models and small-animal imaging
Nineteen 6- to 8-week-old severe combined immunodeficiency (SCID) mice were maintained in a strict defined-flora, pathogen-free environment in the AAALAC-accredited animal facilities at UCLA. Human glioblastoma cell line U87 and breast cancer cell line MDA-MB-231(MDA) were used as a SCID-hu tumor model. Tumor cells were injected (with MDA cells in 11 mice and with U87 cells in 8) subcutaneously as single-cell suspensions in phosphate buffer saline (PBS; about 2 × 106 MDA or about 6 × 105 U87 cells in 100 μL PBS). When the diameter of the tumor grew to approximately 2.5 mm, a PET scan was performed once a week on the same animal until the diameter of the tumor exceeded 10 mm. Tumor size was measured weekly with a caliper, and the volume was calculated as 0.5 × length × width2.
Small-animal PET scans were performed either on a microPET Focus 220 scanner running microPET Manager 184.108.40.206 or on an Inveon dedicated PET running IAW 1.5 (Siemens Preclinical Solutions, Knoxville, TN, USA), but the same scanner was used for multiple longitudinal PET scans of each mouse. These scanners provide the same SUV and % ID values for mice imaged sequentially in both systems (unpublished data). List-mode PET data were acquired for 60 min immediately after 18 F-FDG injection via a tail vein catheter (18.28 ± 1.19 MBq, approximately 60 μL) in a bolus. Frame durations of all the PET studies were 4 × 1 s, 15 × 0.5 s, 1 × 2 s, 1 × 4 s, 1 × 6 s, 1 × 15 s, 3 × 30 s, 1 × 60 s, 1 × 120 s, 3 × 180 s, 3 × 900 s, and 1 × 51 s. After the PET scan was completed, a 10-min CT scan was acquired with a small-animal CT scanner (MicroCAT II, Siemens Preclinical Solutions, Knoxville, TN, USA) for attenuation correction of the PET measurements.
Tail vein blood glucose levels (in mmol/L) were measured using a blood glucose meter (Abbott AlphaTRAK, Abbott Laboratories, Abbott Park, IL, USA) at the beginning and the end of each scan. A single blood sample (approximately 10 to 15 μL) was collected with a 1-cc syringe from the heart at the end of the study (approximately 70 to 80 min). The whole blood in the syringe was released to a pre-weighed test tube and weighed, and the radioactivity was counted in a gamma counter (WIZARD 3"; PerkinElmer Life Sciences, Turku, Finland).
All animal experiments were performed in accordance with institutional guidelines and protocols approved by the Animal Research Committee of the University of California, Los Angeles, USA.
Image analysis was performed using AMIDE (http://amide.sourceforge.net/). The 3D isocontour regions of interest (ROIs) were manually defined for the skeletal muscle of the left ventricle (LV), forelegs, liver, and tumor in each mouse on the last 15-min images (about 60 min post 18 F-FDG injection). Only tumors without an apparent necrotic center on the 18 F-FDG PET images were included in the analysis. The time-activity curves (TAC) in each tissue of interest were calculated. Experimental information for all studies is available online at the UCLA Mouse Quantitation Project website (http://dragon.nuc.ucla.edu/mqp/index.html).
Plasma input function
The sum of the first three exponential terms was used to describe the main part of the input function; the fourth exponential term was needed so that TACp was equal to 0 at time 0. All parameters were estimated by simultaneously fitting the plasma 18 F-FDG blood curve with Equation 3 and the muscle and liver TACs with two separate 4 K compartmental 18 F-FDG models as described by Ferl et al. . The kinetic modeling program SAAM II  was used to solve the systems of differential equations and estimate parameters. The Bayesian maximum a posteriori parameter estimation in SAAM II was used to improve parameter identification and the accuracy of the predicted input function as described by Ferl et al. .
where C T(t) is the total 18 F-FDG concentration in the tissue of interest, C 1(t) is the free 18 F-FDG concentration in the tissue, C p(t) is the 18 F-FDG concentration in the plasma, C B(t) is the blood 18 F-FDG concentration in the vasculature, and V B is the volume fraction of blood in the tissue. The early-time tissue data (for t < 15 min) were not used because only after an equilibration time (t*) will the Patlak plot become linear. The metabolic rate of glucose (MRGlu) was calculated as MRGlu = K i × [Glc]/LC , where [Glc] was the averaged blood glucose level of the two measurements at the beginning and the end of the scan, and LC is the lumped constant. Values of the LC were assumed to be 1.4 for U87  and 1.0 for MDA. The intercept value (Int) shown in Equation 5 is related to the V B and the distribution volume of the tracer in the reversible tissue compartment.
Data analysis and functional relationship determination
The parameters a and c were to account for the effect due to tumor growth in size; b was equivalent to the half saturation glucose concentration of 18 F-FDG uptake . Models were tested separately for U87 and MDA. To account for possible effects introduced through repeated measures, models were fit using standard least-squares method as well as mixed-effects method . For models 3 and 4 (Equations 8 and 9), if fitted values for parameter b were not found to be significant, the model was rebuilt, setting b equal to 0. Mixed-effects models were built assuming no within-group covariance of random effects. For models with more than one fitted parameter, all possible combinations of random effects were tested. If more than one mixed-effect model showed significant improvement over the standard fixed-effect model, the optimal mixed-effect model was chosen by the likelihood ratio test if models were nested or by the corrected Akaike's information criterion (AICc), otherwise. After a fitting method for each model was chosen, the optimal model for each cell line and response variable was chosen based on AICc. Fittings and model comparison were done using the nlme package of the statistical software R .
Tumor 18 F-FDG uptake and metabolic parameters
Partial volume effect (PVE) of 18 F-FDG uptake in tumors with a necrotic core was more difficult to account for since the tumor 18 F-FDG uptake became heterogeneous after the necrotic core development. For evaluation of the effects of blood glucose level and tumor growth, only scans without tumor necrotic cores were investigated in this work. SUV was used for semi-quantitative analysis and model fitting to estimate the model parameter values. SUV was found to significantly correlate with the Patlak analysis-derived K i (P < 0.001 for both tumors) and with MRGlu (P < 0.001 for both tumors).
The Patlak analysis also showed that U87 tumors had on average a larger Int (Equation 5) value (0.50 ± 0.13 for U87 versus 0.33 ± 0.05 for MDA, P < 0.001). Since Int reflects the fractional blood volume V B and the distribution volume of the tracer in the reversible tissue compartment (Equation 5), the higher Int value of U87 signified higher vascular volume and larger K 1 of 18 F-FDG in U87, a possible indication of more angiogenesis, than in MDA tumors.
PV-corrected 18 F-FDG uptake versus blood glucose level and tumor size
Likelihood ratio test on analysis methods and model selection for U87
K i /RC
1.4 × 10−8
4.88 × 10−3
4.87 × 10−3
1.03 × 10−8
4.36 × 10−3
1.03 × 10−8
4.27 × 10−3
4.3 × 10−9
Likelihood ratio test on analysis methods and model selection for MDA
K i /RC
1.46 × 10−4
1.31 × 10−4
2.58 × 10−5
2.29 × 10−9
2.54 × 10−5
7.07 × 10−6
In the case of MDA (Table 2), for both response variables, mixed-effects modeling showed a significant improvement over standard fitting in models 1 (Equation 6) and 2 (Equation 7). RSS and AICc were thus calculated based on the mixed-effects models. For models 3 and 4, they were based on the non-mixed-effects models because incorporation of mixed effects did not lead to a significant improvement over standard fitting. For both response variables, model 1 was ranked as optimal based on AICc.
In this work, a set of longitudinal quantitative 18 F-FDG PET studies was performed on tumor-bearing mice, and a method to account simultaneously for the blood glucose level and tumor growth has been tested. While the impact of medium/blood glucose levels on 18 F-FDG uptake in tumors has previously been investigated in both in vitro and in vivo studies [20, 21], no longitudinal studies have been reported to elucidate the associations of both blood glucose level and tumor size with 18 F-FDG K i in tumors. Our quantitative analysis based on 18 F-FDG uptake, kinetics analysis, and model selection addresses the effect of blood glucose level and tumor size (for tumors without necrotic cores) in two different types of tumors. The results suggested that the need to account for the confounding effects of glucose in the fitting of measured data is tumor cell line dependent and that appropriately taking this into account would lead to improvement in the measurement sensitivity of the true biological signals in the tumors.
Results of the growth rate and Patlak analysis showed that human breast cancer MDA cells have an adequate proliferation rate in SCID mice for longitudinal 18 F-FDG PET studies, as do human glioma U87 cells. In this work, tumor growth was monitored longitudinally, and it was found that MDA and U87 had a similar growth rate for about 30 days after the baseline imaging time point (Figure 2). However, MDA developed necrotic cores much earlier than U87 (Figure 1), probably due to different angiogenesis rates between the two tumor types (U87 > MDA). The larger Int value derived from the U87 tumor 18 F-FDG kinetics is consistent with having more angiogenesis in U87. Although a larger proportion of tumor cells in tissue would increase the FDG uptake rate constant and thus the slope of the Patlak plot, it is not expected to affect the value of Int by a large amount. The larger value of Int also supports the reasoning that the higher angiogenesis rate is the cause of the observed slower development of necrotic core in the U87 tumors as compared to the MDA tumors.
In PET tumor imaging, SUV is the most frequently used index for characterizing tumor 18 F-FDG uptake. However, the value of its use for interpreting 18 F-FDG PET scans was found to be limited because of the considerable overlap between SUV measurements in malignant and benign lesions and subtle changes at early response to therapy . Therefore, large variability in SUV measurements could affect the clinical interpretation. Generally speaking, these variability sources can be categorized into two types. One comes from biological factors (e.g., tumor's size/configuration changes, plasma substrate level, insulin level, and input function variations). Another type is associated with technical factors (e.g., reconstruction parameter changes). Our study was designed to examine the effect of blood glucose level and tumor growth on 18 F-FDG uptake.
Results of MDA showed that SUV, K i , and MRGlu were relatively constant when the tumor grew bigger (Figure 3); no correlation was found between SUV or K i , and blood glucose levels, but MRGlu increased with increasing blood glucose levels (Figure 4). Unlike that in MDA, SUV and K i in the U87 tumor correlate significantly with tumor size and blood glucose levels, indicating that correction for both blood glucose level and tumor size is needed in the calculation of SUV and K i to reflect tumor glucose utilization rate. These results also suggested that the glucose uptake regulation could be different in different tumor types, and correcting for blood glucose level or not in the SUV formula should be done selectively. Reported results in the literature on the effect of blood glucose levels on a few other types of tumors were somewhat controversial. Most studies have demonstrated that 18 F-FDG uptake into human cancer cells is inhibited by increasing blood glucose levels because of saturation of glucose uptake in tumors [6, 7]. Our results from U87 data were consistent with these findings. However, animal studies performed by Torizuka et al.  indicated that the uptake of 18 F-FDG in mammary carcinoma was reduced for insulin-induced hypoglycemia. In our present study, 18 F-FDG SUV in the mammary cancer MDA has a slightly negative slope but with an insignificant correlation, with respect to blood glucose levels (Figure 4).
When tracer uptake in small tumors was measured, large biases could be introduced by the PVE . We used the calculated RC to reduce the errors attributable to PVE. Four models (Equations 6 to 9) with one to three independent parameters were used to account for glucose level and to evaluate if the PV-corrected 18 F-FDG SUV and K i changed as the tumors grew in size. Likelihood ratio tests (Tables 1 and 2) showed that mixed-effects modeling is not necessary for the U87 data but is necessary for the MDA cell line, suggesting that the U87 has more homogenous development than the MDA among different mice. This is consistent with the larger data scatter of 18 F-FDG uptake obtained for the MDA cell line than for U87 in in vitro experiments using multiwell plates . The best model (Equation 8) for U87 indicates that U87 K i was inversely correlated to the blood glucose levels. That is similar to our previous findings on 18 F-FDG K i in the brain  that showed a significant inverse relationship between cerebral 18 F-FDG K i and the blood glucose level. The best model (Equation 1) for MDA is consistent with the results of our in vitro studies, which showed that the 18 F-FDG uptake in MDA was affected little by medium glucose level over the normal physiological glucose range . Since U87 is a human cancer cell line originating from the brain, the finding that U87 behaves like the brain tissue in glucose metabolism is interesting, but not unexpected. The 18 F-FDG SUV and K i , after accounting for the PVE and blood glucose levels (Figures 5 and 6), did not show any significant correlation with tumor size, further confirming that tumor glucose utilization rate was rather stable when the tumor (of either MDA or U87) grew bigger in size (but before necrotic core development). The relationship indicates that without treatment intervention, tumor cells/tissues do not change their metabolic aggressiveness as tumors grow (at least before necrosis appears).
The current results showed that the use of either SUV or K i gave the same conclusion regarding the effects of blood glucose level and tumor growth on glucose utilization rates for MDA and U87. The use of K i , however, was supposed to better account for the systemic variations in 18 F-FDG delivery between studies or animals. In the present study, these variations were small because the animals were obtained from the same source, had the same diet and similar age, and were treated similarly. When the variations in the systemic condition are large, as in a patient population, the use of SUV as an indicator of tumor glucose utilization rate is expected to give a larger variability than that of K i and may not be as sensitive to reveal the same effects. Similar advantages of K i over SUV were also observed in one of our previous studies on the effects of blood glucose level on the brain 18 F-FDG uptake . The main desirable feature of SUV is that it does not need dynamic PET imaging and is thus more practical for human studies.
The present results indicate that 18 F-FDG K i in MDA and U87 differs considerably in response to altered blood glucose level, suggesting that regulation of 18 F-FDG uptake and glucose metabolism are tumor-type dependent. However, more work needs to be done to account for effects due to other possible factors, including blood insulin level and tumor heterogeneity (when a necrotic core appears), to further improve the reliability of the quantitative measurements and to examine the metabolic stability/change after a necrotic core develops. Insulin is known to induce a host of effects on traditional metabolic actions such as glucose transport and utilization . Insulin also has vascular-specific actions that are particular to vascular tissues . Although the effects of insulin on tumor 18 F-FDG uptake have been studied by others before [10, 27], the prior studies all involved insulin injections into the animal or patient that yielded a non-steady state circulating insulin level and also a variable blood glucose level at the same time. As a result, 18 F-FDG uptake could be affected by either or both factors and is more difficult to interpret. Only after the known confounding factors are properly accounted for can one begin to critically assess the temporal changes in 18 F-FDG uptake kinetics during normal growth or due to intervention or treatment.
A frequently asked question about 18 F-FDG uptake in tumors is whether it reflects more tumor biology versus inflammatory response associated with the xenograft. Our present study would not be able to provide a definitive answer. Although inflammatory response is usually considered to be transient, it could be compensated by tumor biology changes. A longitudinal PET study with coordinated tissue autopsy examination could be performed in the future to address this question.
Results from the present study showed that 18 F-FDG K i in the U87 tumor varies inversely with the blood glucose levels. In contrast, MDA 18 F-FDG K i is independent of the blood glucose level, indicating that different transporter/hexokinase adaptations to blood glucose levels exist for the two tumor types. Thus, adjustment of tumor 18 F-FDG uptake for blood glucose level should be applied only for tumor types that have their 18 F-FDG uptake sensitive to blood glucose levels. Moreover, partial volume and glucose-corrected 18 F-FDG K i did not show any significant increase as the tumor of either type grew in size.
The authors would like to thank Dr. Waldemar Ladno for his assistance in performing the mouse PET studies, Dr. Arion Chatziioannou for his advice and guidance in mouse PET imaging, and Dr. Chann Lagadec for providing the MDA-MB-231 cell line. This work was partially supported by NIH grants R01-EB001943 and P50-CA086306.
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