Biomedical Imaging and Instrumentation
Sarah N. Parrett
Master's Student in Biomedical Engineering
University of Florida
Saint Johns, Florida, United States
Hayden J. Good
PHD Candidate
University of Florida, United States
Carlos Rinaldi-Ramos, PhD
Professor and Chair, Chemical Engineering; Professor of Biomedical Engineering
University of Florida
Gainesville, Florida, United States
Magnetic particle imaging (MPI) is an emerging imaging modality that quantifies, with spatial resolution, superparamagnetic iron oxide nanoparticles (SPIONs). MPI enables a direct quantitative measurement of SPIONs [1]. This is done using selection gradient magnetic fields to generate a field free region (FFR) with a net zero magnetization. A weaker uniform alternating magnetic field is then applied to the FFR, exciting the SPIONs within the FFR. The excited SPIONs then relax, inducing a voltage in the receive coils, which is directly related to the amount of SPIONs present in the FFR [1,2,3]. The application of differing scan modes alters the intensities of the applied magnetic fields, producing images with differing sensitivities and resolutions [2]. An important feature of MPI is its ability to directly quantify SPIONs, meaning the signal generated by the SPIONs is directly proportional to their mass [1,3]. However, studies suggest quantification inaccuracies may arise due to the finite resolution of the imaging device [4,5,6]. Using a constant mass dilution series, the goal is to visualize, identify, and quantify resolution errors within the MPI. The identification of these errors introduces the opportunity to initiate correction methods to improve the quantification accuracy and spatial resolution of the MPI.
Custom 3D printed models of varying volumes (Tables 1 and 2) were filled with SPIONs using a constant mass dilution series. The disc models (Figure 1), designed for 2D images, consist of a cylindrical cavity while the sphere models, designed for 3D images, consist of a spherical cavity.
Each calibration curve and model set were filled with a serial dilution of the commercially available SPION, ferucarbotran, and deionized water. The disc models filled with 1μg, 10μg and 100μg of iron were imaged in 2D high sensitivity (HS), high resolution (HR), and high sensitivity/high resolution (HSHR) scan modes. Sepatate calibration curves were constructed using different volumes, specifically 1μL in capillary tubes, 16μL in Eppendorf tubes, and 415μL in disc models F. These calibration curves developed a relationship between iron mass and total signal. The 1μL calibration curve and sphere models filled with 10μg of iron were imaged in 3D in HR to identify any differences from 2D to 3D imaging.
Each MPI scan was analyzed using 3D Slicer. The region of interest was identified and then thresholded to a lower limit of half the maximum voxel intensity signal. From this, the mean voxel intensity signal within the ROI was multiplied by the number of voxels to calculate the ‘total signal’. The averages of the total signals were plotted against iron mass for each calibration curve type, generating a trendline equation relating total signal and iron mass. Estimations of the iron mass within each model were then developed using these equations.
Results and Discussion
The results of this study show iron quantification errors within MPI due to its finite resolution. Figure 2 shows the percent errors of the iron estimations of the 10µg disc set with respect to the true amount of iron filled within each model, considered ground truth. The capillary tube and Eppendorf tube calibration curves typically caused overestimation of the iron mass, while the high volume calibration curve caused underestimation of the iron mass, as shown by the negative percent error. These findings indicate that volume of both calibration standards and models plays a significant role in the accuracy of iron quantification for MPI. Figure 2 also demonstrates a relationship between the calibration curve and model volumes. As the volume of the models approach that of the calibration curves, the iron estimation becomes more accurate. It is this trend that led to more accurate quantifications of models A-C using the capillary and Eppendorf tube models, and more accurate quantifications of model D-F using the high volume calibration curve. Additionally, the impact of the resolution error appears to vary between scan modes, with HS producing the most accurate results.
The iron estimations of the 3D samples were evaluated with respect to the 2D models. Figure 3 shows the percent errors of the 10µg sphere models imaged in the MPI in 3D, HR mode compared to the 10µg disc models imaged in the MPI in 2D, HR mode. Notably, the errors experienced in 3D images are reduced relative to the 2D images, likely due to a more accurate spatial resolution provided within the 3D images.
Conclusion
These results confirm the existence of a resolution related error impacting MPI quantification. The extent of the error varies between scan modes (HS, HR, and HSHR), with HS being the most accurate of the three. The error also varies between 2D and 3D images, with 3D images resulting in more accurate iron quantification, likely due to reduced averaging of the SPIONs. This information introduces the opportunity to study correction methods to improve MPI accuracy.
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