Abstract
Currently, the validation of multimodal quantitative imaging and absorbed dose measurements is impeded by the lack of suitable, commercially available anthropomorphic phantoms of variable sizes and shapes. To demonstrate the potential of 3-dimensional (3D) printing techniques for quantitative SPECT/CT imaging, a set of kidney dosimetry phantoms and their spherical counterparts was designed and manufactured with a fused-deposition-modeling 3D printer. Nuclide-dependent SPECT/CT calibration factors were determined to assess the accuracy of quantitative imaging for internal renal dosimetry. Methods: A set of 4 single-compartment kidney phantoms with filling volumes between 8 and 123 mL was designed on the basis of the outer kidney dimensions provided by MIRD pamphlet 19. After the phantoms had been printed, SPECT/CT acquisitions of 3 radionuclides (99mTc, 177Lu, and 131I) were obtained and calibration constants determined for each radionuclide–volume combination. A set of additionally manufactured spheres matching the kidney volumes was also examined to assess the influence of phantom shape and size on the calibration constants. Results: A set of refillable, waterproof, and chemically stable kidneys and spheres was successfully manufactured. Average calibration factors for 99mTc, 177Lu, and 131I were obtained in a large source measured in air. For the largest phantom (122.9 mL), the volumes of interest had to be enlarged by 1.2 mm for 99mTc, 2.5 mm for 177Lu, and 4.9 mm for 131I in all directions to obtain calibration factors comparable to the reference. Although partial-volume effects were observed for decreasing phantom volumes (percentage difference of up to 9.8% for the smallest volume [8.6 mL]), the difference between corresponding sphere–kidney pairs was small (<1.1% for all volumes). Conclusion: 3D printing is a promising prototyping technique for geometry-specific calibration of SPECT/CT systems. Although the underlying radionuclide and the related collimator have a major influence on the calibration, no relevant differences between kidney-shaped and spherically shaped uniform-activity phantoms were observed. With comparably low costs and submillimeter resolution, 3D printing techniques hold the potential for manufacturing individualized anthropomorphic phantoms in many clinical applications in nuclear medicine.
- anthropomorphic phantom design (kidney)
- 3D printing
- internal radiation dosimetry
- quantitative SPECT imaging
- gamma camera calibration
The kidney represents the critical organ in many radionuclide therapies involving peptides or small molecules (1–4). An important prerequisite for reliable dosimetry based on planar and SPECT/CT images are measurements on quasirealistic anthropomorphic phantoms of a known activity concentration (5–7). However, industrial manufacturing of such phantoms is expensive and profitable only when large quantities are produced. Therefore, only a few phantoms representing very rough approximations of the underlying anatomies—in most cases an arrangement of simple geometric objects such as spheres and cylinders—are commercially available, impeding the validation of quantitative imaging and the related absorbed dose estimation based on patient- or even only organ-specific geometries.
After the introduction of stereolithography more than 2 decades ago (8), a wide range of rapid prototyping technologies (9) has evolved. More recently, some of these techniques have become commercially available under the term 3D printing (10,11), enabling individual production of phantoms with more customized geometries and therefore offering an attractive alternative to industrial phantom construction. Most of the 3D printing setups recently proposed for phantom design are based on stereolithography (12,13), PolyJet (Stratasys Ltd.), or Multi Jet Fusion (HP Inc.) techniques (14–16). Although these photopolymerization-based 3D printing techniques feature the highest resolution that is currently commercially available (as low as ∼20 μm), high investment costs in the 6-digit U.S. dollar range limit their application area to financially well-endowed research centers or commercial and therefore nonindividualized production.
To hold out the prospect for widespread use of 3D printing in clinical applications such as internal radiation dosimetry, the potential of the considerably more affordable fused deposition modeling (FDM) 3D printing technique (initial costs in the 4-digit U.S. dollar range) for manufacturing anthropomorphic phantoms was sounded out in this work. To assess the effect of the phantom geometry on quantitative SPECT/CT imaging, a set of kidney phantoms was designed on the basis of MIRD pamphlet 19 (17) and fabricated using an FDM-based 3D printer. Additionally, a set of volumetrically corresponding spheres, as typically used for SPECT calibration, was produced. Finally, SPECT/CT acquisitions of all combinations of radionuclides and age-models were performed with different radionuclides (99mTc, 177Lu, and 131I) to assess geometric effects as well as radionuclide and collimator dependence on the calibration constants obtained in a volume-of-interest (VOI) analysis.
MATERIALS AND METHODS
Design of Kidney Model Following MIRD Pamphlet 19
Simplified versions of 4 of the 6 age-dependent kidneys described in MIRD pamphlet 19 (17), with volumes of between 8 and 123 mL, were used as kidney models in this work. The renal cortex was characterized by an ellipsoid with 2 half-axes of approximately the same size (aMIRD19 and cMIRD19) as well as a shorter half-axis (bMIRD19). A plane perpendicular to one of the longer half-axes represented the renal pelvis. To simplify the model and thereby the demand on the 3D printer, representations of the medullary pyramids were omitted in this work, reducing the initial multicompartment kidney to a single-compartment model. To additionally reduce the complexity of the computational 3D modeling, the ellipsoidal basic shape of the kidney was turned into a spheroid by averaging the 2 longer half-axes (anew = cnew > bnew). The cut resembling the renal pelvis was performed at a distance dpelvis from the origin. The MIRD19 and adapted kidney dimensions are given in Table 1.
Computational Modeling
Computer-aided designs (CADs) of the kidney models were created in Inventor Professional, version 2016 (Autodesk Inc.), using basic drawing commands (extrude, revolve, thicken, fillet). A wall thickness of 1.2 mm was applied to make the phantoms sufficiently rigid while minimizing the amount of filament used. The CAD models are depicted in Figure 1. To enable filling of the phantom, a cylinder of 17-mm height and 6-mm diameter was added to the top of each kidney model. Additionally, 2 cylinders of 6-mm diameter were added to both sides to fix the phantoms in PET body phantom L981602 (PTW-Freiburg). The completed CAD models were exported in the stereolithography interface format (STL).
In addition, 4 spheres matching the respective kidney volumes were constructed to validate the kidney phantoms against the spherical geometry typically used for calibration of SPECT/CT systems. After the kidney fill volumes (VK) had been extracted using the Inventor Professional iProperties function, the radii (rs) of the reference spheres were calculated according to , where Vs is the volume of the reference spheres. On the basis of these radii, spheres were modeled in Inventor Professional using basic drawing commands (depicted in Supplemental Fig. 1; supplemental materials are available at http://jnm.snmjournals.org). The fill volumes and radii are given in Table 1.
Slicing and 3D Printing of Models
3D printing was performed using a Renkforce RF1000 3D printer (Conrad Electronic SE), which works by FDM. In this technique, a plastic filament is heated by an extrusion nozzle (Fig. 2A). The melted material is extruded onto a movable printing plate (Fig. 2B). As the filament hardens immediately after extrusion from the nozzle, an entire 3D object can be created by laying down successive layers of material. In this work, ExcelFil (Voltivo Group Ltd.) transparent polylactic acid (PLA) with a thickness of 3 mm was used as filament. These filaments lie in the range of 100–200 Hounsfield units (18).
The printer was controlled through a personal computer using Repetier-Host, version 1.5.0. An embedded slicing software (Slic3r, version 1.2.9) takes the imported STL model and combines it with all necessary printing parameters (e.g., layer height, extrusion thickness, and number of perimeters per layer) to create the machine-readable G-code required for printing each layer. Supplemental Figure 2 shows an example of the slicing of the adult kidney and the corresponding sphere.
Because it is impossible to print overhangs or other horizontal parts without an underlying structure (such as the upper half of the spheres in Supplemental Fig. 1), support material, which is printed with a lower fill density, and which is only loosely attached to the main object, is added in the slicing procedure (Supplemental Fig. 2). To enable retrospective removal of the support material, each kidney was separated into renal pelvis and renal cortex (Supplemental Fig. 2A shows part of the sliced cortex without the pelvis). Similarly, the spheres had to be divided into halves (Supplemental Fig. 2B). Images of the procedure for 3D printing of the renal pelvis are shown in Figure 2.
After completion of printing, the support material was removed and the different components were agglutinated using a 2-component epoxy adhesive of medium viscosity (Loctite EA 3430; Henkel Ltd.). Subsequently, a filling hole of M1.2 was drilled into the filling cylinder, which was widened to M3.0 in the top half to make it sealable with a plastic screw and O-ring. Additionally, M6.0 thread profiles were cut at the ends of the attachment cylinders. Finally, the phantoms were coated with a low-viscosity epoxy casting resin (Epoxi-System E300GB; Breddermann Kunstharze) to ensure water tightness and chemical stability against the typically alkaline isotope solutions. A photograph of the final set of phantoms is given in Figure 3.
Attachment System for Body Phantom
An attachment system for the PET body phantom was printed to ensure easy insertion and removal of the kidney and sphere inserts. The associated CAD model is shown in Figure 4A. It includes 3 holes (width, M6.0) for height adjustment of the inserts within the body phantom. Additionally, it contains 4 screw holes (width, M4.0) for insertion of spacers to fix the attachment system to the body phantom’s lid. 3D printing was performed using the same setup and parameters as described above. The attachment of the kidney insert is shown in Figure 4B: after the kidney insert was screwed into the bottom of the body phantom, 2 screw nuts (M6.0) were used to mount the attachment system. Finally, the 4 spacers were adjusted to fix the position of the lid before the phantom was closed.
Determination of Filling Weights
Before the measurements, all phantoms were weighed with a PCB 3500-2 precision mass scale (Kern & Sohn GmbH) with a readability of 0.01 g. Subsequently, they were filled with water and weighed again to determine the filling volumes and to ensure water tightness.
Preparation of Phantoms with Isotope Solution
In each experiment, one of the kidneys or spheres and a 100-mL plastic bottle were filled with a homogeneous isotope solution of a desired specific activity, aspec. The isotope solution was produced by dissolving a highly concentrated radionuclide solution of a known activity, Atotal, in a nonradioactive liquid. Atotal was determined using a VDC-405 dose calibrator with a VIK-202 ionization chamber (Comecer SpA), which had previously been cross-calibrated to a high-purity germanium detector (HPGe; Canberra Industries Inc.) whose energy-dependent efficiency was calibrated with several NIST-traceable standards over the energy range considered. While 99mTc was combined with water, 177Lu and 131I were combined with 0.1 M HCl and 1 M NaOH, respectively, to keep the ions dissolved.
After the activity had been added to the liquid, the total weight wsolution of the solution was obtained using the precision scale (difference between filled and empty container). After the activity Aback remaining in the syringe had been measured, the specific activity was calculated as follows:Eq. 1For consistency, all activities were recalculated to a reference time tref—typically the time of the initial activity measurement. After the kidney/sphere and the plastic bottle had been filled with the isotope solution, the kidney/sphere was attached to the body phantom, the rest of which was filled with water to emulate soft tissue. The plastic bottle was placed next to the phantom as a reference. Because there was no attenuation from surrounding materials such as acrylic glass or water, we call this reference bottle the “attenuation-free reference.”
SPECT/CT Acquisition
SPECT/CT acquisitions of this setup were obtained using a Symbia T2 system (Siemens Healthineers) with a 15.9-mm-thick crystal.
First, the SPECT images were acquired using automatic contouring, a detector configuration of 180°, a pixel size (px) of 4.8 × 4.8 mm2, a matrix size of 128 × 128, an acquisition time of 30 min, and 60 views. The collimators were chosen according to the isotope used in the respective acquisition (low-energy high-resolution for 99mTc, medium-energy low-penetration for 177Lu, and high-energy for 131I). After the SPECT acquisition, the CT images were acquired using 17 mAs, 130 kVp, a slice thickness of 5.0 mm, a field of view of 500 × 500 mm2, and a matrix size of 512 × 512.
The SPECT images were reconstructed using an ordered-subsets expectation maximization algorithm with collimator-depth–dependent 3D resolution recovery (Flash 3D [Siemens Healthineers], 6 subsets, 6 iterations, and no filtering). Attenuation correction was based on the CT μ-maps. Scatter correction was performed using a double-energy window for 99mTc and a triple-energy window for 177Lu and 131I. The energy windows for the main emission photopeak and the adjacent lower and upper scatter energy windows are defined in Table 2.
Finally, CT acquisitions of an additionally printed 15 × 15 × 15 mm3 PLA cube were obtained to determine the Hounsfield units of the PLA filament.
Determination of Calibration Factors
The calibration factor was determined as follows: CT-based VOIs were drawn using the provided software tool (syngo MI Applications, VA60C; Siemens Healthineers). Although ellipsoids with the theoretically known dimensions were used in the case of the spherical phantoms, layer-by-layer polygons were drawn for the more irregular shapes of the kidney and the reference bottle. On the basis of these VOIs, calibration factors were calculated by dividing the total number of counts by the activity at the start of the acquisition and the duration of the acquisition.
To compensate for spill-out effects caused by the limited resolution of the imaging system, all VOIs were extended by an isotope-dependent enlargement factor, ∆ρ, in all directions. The enlargement factor was determined separately for each isotope by matching the calibration factor of the largest sphere to the calibration factor of the associated reference bottle. By comparison of the radius of the corresponding sphere to the nominal radius, ∆ρ—defined as a multiple of px—was determined (e.g., ∆ρ = 0.5px for an enlargement by 2.4 mm for a px of 4.8 mm). This factor was subsequently applied to all other acquisitions of the associated isotope. All calibration factors given in this work were obtained using the enlarged VOIs.
RESULTS
Accuracy of 3D Printing Technique
Supplemental Table 1 shows the theoretic and measured filling volumes of all phantoms. To simplify the conversion, unit density was assumed.
The error between the filling volumes of the CAD design and the actual 3D printout increases with decreasing dimensions of the object (adult kidney and sphere, 2.4% and 0.5%, respectively; newborn kidney and sphere, 5.8% and 1.2%, respectively). Additionally, the error is considerably smaller for the spherical phantoms (maximum error of 1.2% for the smallest volume).
SPECT/CT Acquisition and Reconstruction
An average Hounsfield unit of approximately 142 was observed in the CT acquisition of the PLA cube.
The average (±SD) specific activities used for the calibration measurements were 0.90 ± 0.06 MBq/mL for 99mTc, 0.99 ± 0.05 MBq/mL for 177Lu, and 0.26 ± 0.01 MBq/mL for 131I. In this case, the SD describes the variation in specific activity between subsequent SPECT/CT acquisitions. These differences can be caused by radioactive decay of the isotope solution between subsequent SPECT/CT acquisitions (especially for 99mTc, with the shortest half-life), but they can also result from slight changes in the initial specific activity of the repeatedly prepared isotope solutions. Figure 5 shows the reconstructed SPECT/CT images and the VOIs used in the adult kidney phantom for the 177Lu experiment and the corresponding spherical phantom for the 131I experiment.
SPECT/CT Calibration
Table 3 shows the calibration factors determined from the enlarged VOIs for all kidneys and spheres, as well as the average of all reference bottle calibration factors for all isotope solutions. Considerable deviations of up to 9.8% from the attenuation-free reference were observed with decreasing volume. However, the percentage difference between spherical and kidney phantoms of comparable volume stayed below 1.1% for all ages and volumes.
The applied enlargement factors ∆ρ and the nominal and VOI radii and volumes are given in Table 4. Deviations from the ideal ∆ρ of the largest volume (adult column) can be attributed solely to inaccuracies in the VOI drawing. Although only a quarter of a voxel has to be added to the radius in the 99mTc acquisition, this factor increases to half a voxel for 177Lu and even one voxel for 131I.
The graphs of the calibration factors in Figure 6 illustrate the volume-dependent decrease in calibration factor, which is independent of the phantom geometry.
DISCUSSION
Assessment of 3D Printing Technique
In this work, FDM 3D printing was successfully used to manufacture a set of refillable, waterproof, and chemically stable phantoms. With a maximum volumetric deviation of about 6% between the CAD model and the final 3D object—even in case of the smallest kidney (volume, ∼9 mL)—the printing accuracy was sufficient for SPECT/CT calibration measurements.
A large part of these deviations was caused by the major drawback of the single-extruder FDM 3D printing technique, namely the fact that horizontal layers or overhangs have to be underlaid by support material, making it necessary for many designs to be split into two parts, which are then separately printed (Supplemental Fig. 2B). In this case the seams have to be made thicker for better adhesion of the epoxy adhesive, potentially causing volume differences between the initial design and the actually printed object. This problem might be addressed by upgrading the 3D printing system to dual extrusion, in which a second extruder in combination with a second filament—typically with different chemical properties—is used to print support structures that can later be dissolved off the actual print. Although polyvinyl acetate, the most commonly used support material, is dissolvable in nothing but water, other filaments are dissolvable in more specific chemical solutions such as acetone (acrylonitrile butadiene styrene) or sodium hydroxide (PLA). As alkaline solutions—such as the 1 M NaOH used in case of the 131I experiment in this work—are used for storage and transport of many radionuclides, PLA-based phantoms should always be coated with epoxy casting resin to prevent potential decomposition. In combination with the high layer bonding of PLA-printed objects (tensile strength ∼57 MPa), the coating results in durable and chemically stable phantoms (19). Despite minor differences between the designed models and the final printed objects, the presented setup—with submillimeter layer height and in-plane resolution—holds the potential for the design and fabrication of a wide range of anthropomorphic phantoms for SPECT/CT and PET/CT imaging systems with a resolution in the range of several millimeters. Moreover, the wide range of filaments available for FDM 3D printing, with Hounsfield units from −60 to more than 3,000 (18), enables the emulation of almost every tissue of interest.
The size of objects to be 3D-printed is generally limited by the dimensions of the printer—in the case of FDM, the dimensions of the printing bed in combination with the vertical printer dimensions. Although these limitations are irrelevant for the kidney model of this study, they might be relevant if larger organs such as the liver, or even whole-body models, are to be printed (20).
SPECT/CT Calibration
Similar calibration factors were obtained for the attenuation-free reference and the largest phantoms (volume, ∼120 mL). The volume-dependent decrease can be explained by an increasing influence of partial-volume effects for small volumes.
The increase in enlargement factor from 99mTc (low-energy high-resolution collimator: <∆ρ> = 0.25px = 1.2 mm) and 177Lu (medium-energy low-penetration collimator: <∆ρ> = 0.52px = 2.5 mm) to 131I (high-energy collimator: <∆ρ> = 1.02px = 4.9 mm) can be explained by the resolution of the collimators, which is deteriorating in this exact order (<·> indicates the averages as given in the last column of Table 4). As the spatial resolution of the imaging system largely depends on the collimator, spill-out effects play the largest role for the high-energy collimator with the worst resolution. Although the enlarged VOIs represent a reasonable correction of partial-volume effects for calibration measurements, care has to be taken in clinical settings when there is background activity or other structures near the target.
The difference in the volumes of the kidney and the spherical VOIs can be explained by the type of VOI that was chosen in the analysis. Although it is straightforward to draw an ellipsoidal VOI based on the diameter of the underlying sphere, it takes much more effort to draw a layer-by-layer polygon as was done for the irregular shapes of the kidneys. The main problem is that the size of the smallest kidney dimension (newborn: bnew = 9.3 mm) can be on the order of several voxels (px of 4.8 mm), and small changes in the positioning of the phantom relative to the patient bed may considerably affect the volume needed to include all relevant counts in a CT-based VOI. Additionally, transitions between adjacent slices can cause problems in the VOI drawing: inclusion of too many counts from one slice has to be compensated for by including fewer counts in the adjacent slice to minimize potential errors (Fig. 5A). For these reasons, the volumes of all kidney VOIs were 5%–30% larger than the volumes of the corresponding spherical VOIs.
In Figure 6, although, visually, there seem to be fewer partial-volume errors for the calibration factors of the kidney geometry than for the spheres, no relevant numeric differences were found (difference < 1.1%).
Comparison to Previously Presented Clinical Prototyping
The use of phantoms for the development and testing of clinical imaging modalities is widespread. Because of the nonavailability of anthropomorphic phantoms, most of the typically used phantoms consist of an arrangement of commercially available acrylic glass or silicone components mimicking organ function or morphology without, however, accurately modeling the shape or the structure of the organs themselves (21).
Recently, the commercial availability of various 3D printing modalities has created the possibility that phantoms can be individually manufactured for specific applications. In this context, commercially available phantoms reprinted using stereolithography (13) and Multi Jet Fusion 3D printing (14) were shown to be functionally equivalent for SPECT and PET quality controls. Similarly, the PolyJet 3D printing technique has been used to create models with pathologic entities to enhance the training experience of neurosurgeons (16) or develop patient-specific molecular imaging phantoms (15). These photopolymerization-based 3D printing techniques feature the highest resolution that is currently commercially available (600 × 600 dpi in layers of 16–32 μm), in turn leading to a very smooth surface finish. In contrast, the lower-resolving FDM technique (with layers no thinner than ∼100 μm) can produce visible layer lines on the side walls, resulting in a rough surface finish, which—in this work— was compensated for by the coating. The major disadvantage of the photopolymerization-based techniques—and at the same time the greatest advantage of FDM printing—is of a financial nature. With a purchase price in the 6-digit U.S. dollar range, both the Objet500 Connex and the Objet Eden500V (Stratasys Inc.) used in some investigations (15,16) by far exceed the lower 4-digit price of the Renkforce RF1000 used in this work. The same applies to the ProJet 3500 HD (3D Systems Corp.), which was used in another investigation (14), with a purchase price in the higher 5-digit range. Together with a lower cost per printed volume, the FDM workflow presented in this work represents a serious low-cost alternative for manufacturing anthropomorphic or even patient-specific molecular imaging phantoms and might facilitate the application of 3D printing for clinical prototyping even in small clinics and research sites.
Limitations of and Possible Improvements to Single-Compartment Kidney Model
The single-compartment—or, equivalently, uniform-activity—kidney phantom designed in this study served a main purpose of demonstrating the general feasibility of SPECT quantification based on FDM-printed, anthropomorphic phantoms. From the results of this work, it can be concluded that PLA-based FDM 3D printing along with an epoxy coating enables the production of chemically stable, fillable phantoms that are sufficiently durable for SPECT/CT calibration studies. Although no significant differences in partial-volume effects were found between the kidney-shaped and the spherically shaped single-compartment phantoms, this conclusion will have to be reevaluated for more realistic kidney geometries, in which a low-activity inner region is typically surrounded by a ring of higher activity (5).
In a next step, a medullary compartment could be added to the simplified kidney model of this work. The resulting double-compartment kidney phantom would be fillable with nonuniform distributions of activity and therefore enable a more realistic analysis of partial-volume effects typically occurring in kidneys.
Although an increasing number of production steps (e.g., coating and agglutination of individually printed parts) would have to be incorporated, the setup could eventually be used to produce structures of high complexity—from multicompartment MIRD organs to patient-specific organ models obtained from MRI- or CT-based image data.
CONCLUSION
The presented 3D printing setup holds the potential for the design and fabrication of a wide range of quasirealistic anthropomorphic phantoms for testing and validation of internal radiation dosimetry. Despite comparably low initial and material costs, FDM-based techniques still hold the potential for printing 3D objects with submillimeter resolution, an accuracy sufficient with respect to the resolution of clinically available SPECT/CT and PET/CT systems.
In a calibration study, quantitative SPECT/CT acquisitions showed no relevant differences between the calibration constants of uniform-activity kidney designs derived from MIRD pamphlet 19 (17) and the additionally manufactured reference spheres as typically used to determine SPECT/CT calibration factors (difference < 1.1%).
The setup could be used in the future to improve internal radiation dosimetry by calibrating SPECT/CT imaging systems for different MIRD organs or more sophisticated and even patient-specific organ models. Similarly, height-specific calibration factors for planar imaging could be derived for various geometries using the height-adjustable attachment system.
In a next step, more complex structures such as a medullary compartment could be added to the simplified kidney model of this work. In this manner, organ-specific distributions of radionuclide-labeled peptides or metabolites could be examined more comprehensively.
Ultimately, affordable 3D printing techniques could be combined with patient-specific MRI or CT data to establish reliable and reproducible quantitative imaging for individualized, patient-specific pre- or peritherapeutic internal radiation dosimetry of the kidneys or other critical organs.
DISCLOSURE
The costs of publication of this article were defrayed in part by the payment of page charges. Therefore, and solely to indicate this fact, this article is hereby marked “advertisement” in accordance with 18 USC section 1734. No potential conflict of interest relevant to this article was reported.
Footnotes
Published online Jul. 21, 2016.
- © 2016 by the Society of Nuclear Medicine and Molecular Imaging, Inc.
REFERENCES
- Received for publication May 11, 2016.
- Accepted for publication June 21, 2016.