- Original research
- Open Access
Assessing the kidney function parameters glomerular filtration rate and effective renal plasma flow with dynamic FDG-PET/MRI in healthy subjects
EJNMMI Research volume 8, Article number: 37 (2018)
A method was developed to assess the kidney parameters glomerular filtration rate (GFR) and effective renal plasma flow (ERPF) from 2-deoxy-2-[18F]fluoro-d-glucose (FDG) concentration behavior in kidneys, measured with positron emission tomography (PET) scans.
Twenty-four healthy adult subjects prospectively underwent dynamic simultaneous PET/magnetic resonance imaging (MRI) examination. Time activity curves (TACs) were obtained from the dynamic PET series, with the guidance of MR information. Patlak analysis was performed to determine the GFR, and based on integrals, ERPF was calculated. Results were compared to intra-individually obtained reference values determined from venous blood samples.
Total kidney GFR and ERPF as estimated by dynamic PET/MRI were highly correlated to their reference values (r = 0.88/p < 0.0001 and r = 0.82/p < 0.0001, respectively) with no significant difference between their means.
The study is a proof of concept that GFR and ERPF can be assessed with dynamic FDG PET/MRI scans in healthy kidneys. This has advantages for patients getting a routine scan, where additional examinations for kidney function estimation could be avoided. Further studies are required for transferring this PET/MRI method to PET/CT applications.
Glomerular filtration rate (GFR) and effective renal plasma flow (ERPF) are important clinical measures for general kidney functionality. They have a high clinical value for detection, treatment, and prevention of kidney disease. In nuclear medicine these, parameters can effectively be determined or assessed by examinations using different radio tracers [1, 2].
The most commonly used radio tracer for positron emission tomography (PET) examinations predominantly for oncological issues is the glucose analogue 2-deoxy-2-[18F]fluoro-d-glucose (FDG). FDG enters the kidney from blood vessels, is filtered in the glomeruli, is partially reabsorbed in the proximal tubule, and is finally excreted [3, 4]. Although it appears demanding to obtain information about renal function from a substance which is involved in that many different physiological processes, it would be of great advantage, if basic kidney function parameters, such as GFR and ERPF, could be extracted from the tracer’s behavior over time in a spatially resolved manner, allowing to even access the single kidney status. Because the according examination could happen within the accumulation time of FDG in the clinical routine, a determination of kidney functionality accompanying a routine dynamic FDG PET scan of the first 30 min after injection (p.i.) could save time and also applied radiation dose on patients (Fig. 1). This is of interest for patients, where kidney health status needs to be examined, e.g., in the case of patients getting a nephrotoxic chemotherapy.
Several approaches based on kinetic models [5, 6] have been proposed earlier to assess the renal clearance of FDG. Kinetic modeling approaches often require long scan times and are often followed by complex fitting routines to extract the kinetic parameters from the time activity curves (TACs). Fully integrated PET/MRI systems offer the possibility to perform simultaneous PET and magnetic resonance imaging (MRI) acquisitions in a single scan. The high-resolution MR volumes can be used to delineate different regions-of-interest, which in turn can be used to derive TACs from tissue to perform kinetic modeling. In this study, our aim was to find a simplistic clinically viable method to extract the kidney function parameters from routine PET/MRI scans.
For the study, 25 adult and healthy subjects have been recruited; one female subject was excluded due to diabetes. All remaining 24 subjects fulfilled the requirements for the examinations (healthy condition, no metal in body, no claustrophobia, no pregnancy). Informed consent was obtained from all individual participants included in the study. They were examined twice between January and November 2016 at the General Hospital in Vienna. First is to obtain the reference values GFRref from drawn blood samples before and ERPFref from drawn blood samples after injection with 99mTc-labeled mercaptoacetyltriglycine (MAG3). Secondly, 9 ± 5 days before or after that, a 30-min FDG PET/MRI scan was performed to obtain GFRFDG and ERPFFDG. Basic subject data are summarized in Table 1.
Reference examination protocol
First, a blood sample was drawn to determine hematocrit (Hct) and creatinine. All subjects underwent a routine dynamic renal scintigraphy according to the EANM standardized protocol  (for details, see below). In the course of this, another blood sample was drawn 41 ± 2 min after injection of around 80 MBq MAG3, which was used to determine MAG3 clearance. For this purpose, a standard of around 20 MBq in 1 ml was measured both in the dose calibrator for syringes and, after dilution by 1:100, in a gamma counter for blood sample measurement.
PET/MRI examination protocol
Similar to renal scintigraphy, volunteers were hydrated with water (10 ml/kg body weight) for 20 min and asked to empty their bladder directly before injection of FDG (~ 3 MBq/kg body weight). The FDG is prepared in our institution on a routine basis to a well-known and established method  based on a GE FASTlab platform (General Electric Healthcare, USA). With a combined PET/MRI scanner (Siemens Biograph mMR, Siemens Healthcare Diagnostics GmbH, Germany), PET acquisition started immediately after tracer injection and continued for 30 min. The PET list-mode data was re-binned into a dynamic sequence: 60 × 5 s, 25 × 60s, and each PET frame was reconstructed (Siemens e7 tools) into a 172 × 172 × 127 matrix using the ordinary Poisson ordered subsect expectation maximization (OP-OSEM) 3D algorithm (3 iterations, 21 subsets, Gaussian filter). Scatter correction along with Dixon-based MR-attenuation correction was performed. The MR imaging protocol consisted of a T1 weighted MRI sequence (axial breath holding and fat suppression, VIBE SPAIR). A contrast-enhanced (Dotarem: 0.2 ml/kg body weight) TWIST dynamic MR sequence was performed on 10 subjects (group 2, see Table 1). To perform quantitative analysis, five volumes-of-interest (VOIs) were chosen with the Hermes Hybrid Viewer tool (Hermes Medical Solutions AB, Stockholm, Sweden): (1) aorta descendens (between diaphragm and arteria renalis), drawn by hand in several layers (2) left kidney, (3) right kidney, (4) left kidney cortex, and (5) right kidney cortex. VOIs (2–3) were carefully drawn by hand in each layer; VOIs (4–5) were delineated randomly in about 30% of all layers by threshold ROI selection tool in the outer part of the parenchyma. In Fig. 2, aorta, right cortex, and right total kidney ROIs are presented. VOIs were then copied to the PET images, from which the TACs, i.e., the FDG concentration in the VOIs over time, were exported in units of kilobecquerel per milliliter.
FDG TAC analysis was performed using an in-house Java-based tool (programmed with openjdk version 1.8.0_162), for which the aorta input function (AIF) along with the TACs (Fig. 3) was used as inputs. With a machine learning approach (see Additional file 1 and ), it was found that TACs need to be smoothed with a filter for which a Bezier curve was calculated to overcome noise and fluctuations especially appearing in the initial part of the TACs. Since we observed a hump in the total kidney TACs between 3 and 5 min p.i, which was paralleled by an increase of concentration in the renal pelvis (see Fig. 3a), we assume that FDG remains in the kidney compartment during the first minutes (irreversible process within the minimal transit time) before it was forwarded into the pelvis or re-absorbed. Therefore, a graphical analysis was performed with a Patlak plot [10, 11].
Determination of GFR and ERPF
The rapid decay of the peak might be affected by several processes, such as glomerular filtration, re-absorption, and forwarding to the renal pelvis. If many processes occur, a Patlak plot results in a complicated, curved shape , which can be clearly observed in Fig. 3b. To calculate GFRFDG, regression analysis was used to obtain the slope K of the Patlak plot (see Fig. 3b). To unambiguously identify the relevant linear part, a machine learning approach was used (see Additional file 1), showing that the linear part within the first 2 min, starting at the point which corresponds to the TAC peak maximum, was most suitable. Final GFRFDG was then defined as the sum of the right and the left cortex or total kidney value V:
GFRFDG[ml/min] = Kright[min−1]Vright[ml] + Kleft[min−1]Vleft[ml]
As reference value, GFRref was estimated from creatinine values with the CKD-EPI formula .
Initial FDG blood flush is represented by the integral of the TAC peak, while the TAC peak maximum Pmax gives the largest by the kidney physically graspable quantity of fluid. The ratio between these two quantities consequently results in a time value representing the capability of the kidney to forward the maximum quantity of fluid and was therefore taken as a measure for the ERPF, i.e., ERPFFDG. This value was then multiplied with the corresponding kidney volume V. Final cortex and total kidney ERPFFDG were taken as sum of the corresponding left and right single kidney values.
The integral over the peak was calculated from peak rise to 1 min after peak rise, which was found with the machine learning approach.
For reference values, GFRref error was set to 12% according to . ERPFref error was estimated with 10%, because the blood sample measurement protocol was identical to , showing that errors, usually not higher than 10%, mainly arise from the measurement procedure.
To estimate errors of GFRFDG and ERPFFDG, the reproducibility of the VOI choice for FDG TAC analysis was assessed with data from subject group 1 (Table 1), having high differences between their reference values, age, and gender. For each subject, the above described procedure for calculating GFRFDG and ERPFFDG was repeated using three different VOIs for each aorta, cortex, and total kidney, leading to seven different combinations of cortex/total kidney TACs and AIF. Different layers, VOI sizes, and regions have been chosen to alter the aorta and cortex VOIs. Note that the aorta VOIs were still located between diaphragm and arteria renalis. Either total kidney VOIs were delineated more inaccurately or every second layer was used for manual delineation, and a Hermes Hybrid Viewer tool was used to automatically fill up the missing layers. For each subject, the deviations from the mean GFRFDG and ERPFFDG were then calculated from all different VOIs and averaged over all three subjects.
In the case of GFRFDG, total error was taken as square root of the squared sum of all contributing errors, which was the standard error from just described reproducibility checks as well as the standard error from the linear fit of the Patlak plot.
Estimation of AIF correction effects
After image fusion, it was observable that the FDG distribution in the PET images was blurred, i.e., it exceeded the border of the aorta region in the MRI scans, in particular during the first frames (see Fig. 4), mainly due to motion and partial volume effects. Due to these effects, FDG concentration was falsely spread over a larger volume, leading to an underestimation of concentration. The effect was studied on the basis of a method described by Khalighi et al. [16, 17] with the dataset of the subjects from subject group 2, who additionally had contrast-enhanced MRI examination. The active contour algorithm from ITK snap (version 3.6.0) was used to extract the aorta volume VA from the contrast-enhanced MR data. Spill-out region was defined by summing up the early PET frames and segmenting the aorta from the summed PET images. Using Matlab R2016a (MathWorks, USA), a background sampling region was defined by radially dilating the spill-out mask by three voxels (12 mm); the activity CB and the volume VB in this region were measured. Similarly, the volume of the aorta, VA, was also determined. The total area comprises of the spill-out and background region with activity CT and volume VT. The activity balance in these three volumes can be then modeled by CTVT = CAVA + CBVB. Finally, this equation was solved for CA, the FDG tracer concentration in the aorta (AIF), and was repeated for all frames. GFRFDG from cortex and total kidney TACs of each subject was then re-calculated with the corrected AIF. The deviation of the GFRFDG obtained from the corrected AIF to the uncorrected AIF was calculated, averaged over all subjects and expressed in percent.
Statistical analysis was performed with Gnumeric (open source software, version 1.12.20) and LibreOffice Calculator (open source software, version 18.104.22.168). First, reference values, values from FDG TACs, and basic subject data were tested for normal distribution with Kolmogorov-Smirnov test. Correlations have been calculated with Pearson product-moment correlation coefficient r from which p value was derived. The significance of the differences between reference and FDG value was assessed by a paired Student’s t test (p < 0.05 was considered as a statistically significant difference).
Subject demographics are summarized in Table 1. Total evaluation time per subject was 80 min (blood sample measurement and ERPFref/GFRref calculation: 60 min, FDG TAC extraction and analysis: 20 min). One male subject had horseshoe kidneys, and in another male subject, Tarlov cysts were found in the lower back, both without any health effects. Kolmogorov-Smirnov tests delivered a possible normal distribution for all evaluated parameters, except age, gender, and total kidney GFRFDG.
GFR and ERPF
As shown in Fig. 5, cortex GFRFDG showed an excellent correlation with GFRref (r = 0.85; p < 0.0001) and total kidney GFRFDG showed an excellent correlation with GFRref (r = 0.88; p < 0.0001). ERPFFDG correlated with cortex ERPFref by r = 0.81 (p < 0.0001) and with total kidney by r = 0.82 (p < 0.0001) (see Fig. 5).
The linear part of the Patlak plot below 2 min was used for the linear regression to obtain GFRFDG. It should be noted that using more fit points of the Patlak plot up to 4 min did not change the correlation significantly (r > 0.84), but the differences between the means of GFRFDG and GFRref were higher (+ 65 ml/min in average).
All results as well as differences from the Bland-Altman analysis are summarized in Table 2 and Figs. 5 and 6. Paired Student’s t test showed no significant difference between FDG and reference values, neither for cortex and total kidney values nor for GFR and ERPF.
Total errors are also summarized in Table 2 and presented as error bars in Fig. 5. Note that total error of GFRFDG, in contrary to ERPFFDG, arises not only from reproducibility checks but also from Patlak fit errors, leading to an individual error for each value which is indicated as range in Table 2. Reproducibility checks showed a variation of 7% in case of total kidney and 11% in case of cortex GFRFDG and a variation of 7% in case of total kidney and 9% in case of cortex ERPFFDG. Furthermore, no significant difference was found within subject group 1. Accuracy of kidney volume determination was found to be 6%.
Estimation of aorta correction effects
The effect of the observed blurring of the FDG distribution in the aorta region was estimated with a corrected AIF. GFRFDG varied in the case of cortex by (6 ± 17) % in case of total kidney by (− 1 ± 7) %. Note that ERPFFDG is not affected by this correction because its calculation does not depend on the AIF.
The main result of our study was that GFR and ERPF can be accurately calculated from renal and aortic FDG TACs obtained by dynamic PET/MRI scans.
FDG excretion from TACs of kidneys, aorta, and bladder was previously studied with a detailed kinetic model in mice treated with metformin , where an excellent correlation (r = 0.95) was obtained between the rate coefficient associated with GFR and urinary clearance. Although the computation seems to be robust with respect to initialization, this model needs a sophisticated algorithm and is based on seven rate coefficients (to be fitted) describing many renal processes, which might overshoot our challenges. Furthermore, a PET field of view covering aorta descendens, kidneys, and bladder in humans is not practical to realize, and the kinetic model was optimized for mice under medical treatment. Another approach considering bladder TACs and integrals over the AIF was also performed in mice . The obtained FDG clearance correlated well with MAG3 tubular extraction rate (r = 0.73) and with creatinine clearance (r = 0.78) from blood samples. However, despite of a challenging broad field of view, a model for mice under anesthesia cannot be directly transferred to humans. For human studies, a kinetic model using a delay constant and less rate coefficients was developed by Qiao et al. . Plasma clearance was estimated from FDG excretion by multiplying the kidney volume with the corresponding rate coefficient after fitting the model to total kidney TACs. Not unusual for kinetic modeling, long scan times of 60 min were used. With datasets of 10 humans, a deviation of 10% was obtained compared to normal GFR value (125 ml/min), which was used as reference value.
Our aim was to assess kidney function without complex models or fitting algorithms. In a simplified understanding of the renal FDG processes, the TAC peak represents the initial blood flush and therefore ERPF, while its decay reflects subsequent processes, e.g., re-absorption, forwarding, and also glomerular filtration (and therefore GFR). We observed a hump between 3 and 5 min p.i. in all total kidney TACs, which was accompanied by an increase in FDG concentration in the renal pelvis. We therefore concluded that FDG is trapped in the kidney during the first minutes, allowing to apply a Patlak plot analysis to study initial processes, such as glomerular filtration. Certainly, the usage of the first 2 min of the Patlak plot lead to a low set of data points to be fitted and therefore relatively high fit errors. However, both GFRFDG and ERPFFDG derived from this approach showed an excellent correlation with the reference methods and small difference between their means. Furthermore, only small differences between cortex and total kidney results were noted. In particular, errors arising from reproducibility checks were higher in the case of cortex values, indicating that cortex TACs are in general less reliable (probably due to partial volume and motions effects). Thus, total kidney TACs were sufficient to assess GFR and ERPF. Moreover, even inaccurately drawn VOIs resulted in a deviation of 7% in total kidney GFRFDG and ERPFFDG, a detailed and time-consuming drawing of total kidney VOIs thus appears not necessary and assisting tools such as interpolation of ROIs can be used. Blurring effects of the FDG distribution around the aorta showed a negligible effect of − 1% in the case of total kidney after an appropriate correction; therefore, it can be disregarded for the GFRFDG calculation.
The described Patlak analysis is only valid for our reconstruction conditions and chosen aorta VOI, because the Patlak plot shape—and therefore the calculated GFRFDG—strongly depends on the time binning of the TACs and (due to partial volume effects) on the position of the aorta VOI. Note that the aorta descendens was chosen to minimize (a) partial volume effects because of the wide aorta diameter, (b) motion effects because of mainly axial movement in this aortic area, and (c) disturbances from heart activity because of its position located beneath the heart.
The length of linear fit in the Patlak analysis might be adopted for different conditions. Consequently, the presented methods for GFR and ERPF calculation might be transferred to other PET modalities. Furthermore, since only the peak is used for all calculations, PET acquisition time can be reduced to below 10 min.
There are several limitations of the present study, which have to be mentioned.
Firstly, the reference value GFRref was estimated from creatinine level in the blood to keep the subject comfort in mind . Clearance of MAG3 is usually connected to the so-called tubular extraction rate, but it can be used as a reliable estimator of ERPF after a conversion [13, 20].
Secondly, FDG physiology is complex, a simple approach as the presented one therefore has obvious shortcomings, especially if one of the initial processes forming the peak shape is affected, e.g., in the case of chronic kidney diseases or in the case of diabetes where renal glucose re-absorption is changed . The current study was based on healthy subjects; the efficiency of the method needs to be evaluated in the context of patients with pathology.
Thirdly, the method according to  used to correct partial volume effects in the aorta might only be applicable to PET/MRI scans, for which this method was proven to be reliable [16, 17] with even thinner cervical arteries used for the AIF.
Regarding a possible transfer of our method to different PET modalities, we focused in the present study on an evaluation of PET data in comparison to reference values. Due to this reason, the MRI part of our PET/MRI system was only used to separate renal cortex from other renal parts, even if several methods exist to obtain reliable values for kidney function parameters such as renal blood flow  or in particular GFR [22,23,24,25] with different sequences, with contrast agents, based on Patlak plots or kinetic models.
In summary, we present a proof of concept to assess total and even single kidney GFR and ERPF from a single dynamic FDG PET. For clinical usage, total kidney VOI and a PET acquisition time of a few minutes are sufficient. This allows a simultaneous estimation of relevant kidney function parameters within a routine PET scan. Further studies are required for transferring this PET/MRI method to PET/CT applications and to check the findings in the case of insufficient kidney function.
Aorta input function
Effective renal plasma flow
Glomerular filtration rate
Positron emission tomography/magnetic resonance imaging
Time activity curve
Russell CD, Taylor A, Eshima D. Estimation of technetium-99m-MAG3 plasma clearance in adults from one or two blood samples. J Nuc Med. 1989;30:1955–9.
Garnett ES, Parsons V, Veall N. Measurement of glomerular filtration-rate in man using a 51 Cr-edetic-acid complex. Lancet. 1967;1:818–9.
Scafoglio C, Hirayama BA, Kepe V, Liu J, Shezzi C, Styamurthy N, et al. Functional expression of sodium-glucose transporter in cancer. Proc Nat Acad Sci. 2015;20:E4111–9.
Landau BR, Spring-Robinon CL, Muzic RF, Rachdaoui N, Rubin D, Berridge MS, et al. 6-Fluoro-6-deoxy-d-glucose as a tracer of glucose transport. Am J Physiol Endocrinol Metab. 2007;293:E237–45.
Qiao H, Bai J, Chen Y, Tian J. Modeling the excretion of FDG in human kidneys using dynamic PET. Comp Biol Med. 2008;38:1171–6.
Garbarino S, Caviglia G, Sambuceti G, Benvenuto F, Piana M. A novel description of FDG excretion in the renal system: application to metformin-treated models. Phys Med Biol. 2014;59:2469–84.
Gordon I, Piepsz A, Sixt R. Guidelines for standard and diuretic renogram in children. Eur J Nucl Med Mol Imaging. 2011;38(6):1175–88.
Hamacher K, Coenen HH, Stocklin G. Efficient stereospecific synthesis of no-carrier-added 2-[18F]-fluoro-2-deoxy-D-glucose using aminopolyether supported nucleophilic substitution. J Nucl Med. 1986;27:235–8.
Jung M, Zscheischler J. A guided hybrid genetic algorithm for feature selection with expensive cost functions. Proc Comp Sci. 2013;18:2337–46.
Patlak CS, Blasberg RG, Fenstermacher JD. Graphical evaluation of blood-to-brain barrier transfer constants from multiple time-uptake data. J Cereb Blood Flow Metab. 1983;3:1–7.
Peters AM. Graphical analysis of dynamic data: the Patlak-Rutland plot. Nuc Med Commun. 1994;15:669–72.
Levey AS, Stevens LA, Schmid CH, Zhang YL, Castro AF, Feldman HI, Kusek JW, Eggers P, Van Lente F, Greene T, Coresh J. A new equation to estimate glomerular filtration rate. Ann Intern Med. 2009;150(9):604–12.
Russell CD, Li Y, Kahraman HN, Dubovsky EV. Renal clearance of 99mTc-MAG3: normal values. J Nucl Med. 1995;36:706–8.
Michels WM, Grootendorst DC, Verduijn M, Elliott EG, Dekker FW, Krediet RT. Performance of the Cockcroft-Gault, MDRD and new CKD-EPI formulas in relation to GFR, age, and body size. Clin J Am Soc Nephrol. 2010;5:1003–9.
Geist BK, Diemling M, Staudenherz A. Glomerular filtration rate and error calculation based on the slope-intercept method with chromium-51 ethylenediaminetetraacetic acid via a new clinical software: GFRcalc. Med Princ Pract. 2016;25:368–73.
Khalighi MM, Deller TW, Fan AP, Gulaka PK, Shen B, Singh P, Park JH, Chin FT, Zaharchuk G. Image-derived input function estimation on a TOF-enabled PET/MR for cerebral blood flow mapping. J Cereb Blood Flow Metab. 2017; https://doi.org/10.1177/0271678X17691784.
Khalighi MM, Engstrom M, Fan A, Gulaka P, Appel L, Lubberink M, Zaharchuk G. Validation of an image derived input function estimation method on PET/MR. J Nuc Med. 2017;58:661.
Schnoeckel U, Reuter S, Stegger L, Schlatter E, Schaefers K, Hermann S, et al. Dynamic 18 F-fluoride small animal PET to noninvasively assess renal function in rats. J Nuc Med Mol Imaging. 2008;35:2267–74.
Fleming JS, Zivanovic MA, Blake GM, Burniston M, Cosgriff PS. Guidelines for the measurement of glomerular filtration rate using plasma sampling. Nuc Med Commun. 2004;25:759–69.
Itoh K. 99mTc-MAG3: review of pharmacokinetics, clinical application to renal diseases and quantification of renal function. Ann Nuc Med. 2001;15:179–90.
Cersosimo E, Solis-Herrera C, Triplitt C. Inhibition of renal glucose reabsorption as a novel treatment for diabetes patients. J Brasileiro Nefrologia. 2014;36:80–92.
Grenier N, Basseau F, Ries M, Tyndal B, Jones R, Moonen C. Functional MRI of the kidney. Abdom Imaging. 2003;28:164–75.
Nikken JJ, Krestin GP. MRI of the kidney—state of the art. Eur Radiol. 2007;17:2780–93.
Hackstein N, Kooijman H, Tomaselli S, Rai WS. Glomerular filtration rate measured using the Patlak plot technique and contrast-enhanced dynamic MRI with different amounts of gadolinium-DTPA. J Magn Reson Imaging. 2005;22:406–14.
Sourbron SP, Henrik M, Reise MF, Schoenberg SO. MRI-measurement of perfusion and glomerular filtration in the human kidney with a separable compartment model. Investig Radiol. 2008;43:40–8.
Personnel costs during the study were partially funded by Siemens Healthioneers.
Availability of data and materials
Data are available on request due to privacy or other restrictions.
All procedures and studies were in accordance with the ethics committee of the Medical University of Vienna (acceptance no. 1068/2015). This article does not contain any studies with animals performed by any of the author.
Parts of the manuscript have been presented at the ESONM-2016 meeting held in Platja-d-Aro, Spain, and EANM 2016 meeting in Barcelona.
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.