Viswanath Pamulakanty Sudarshan1,2,3, Shenpeng Li4, Anthony Fernandez1, Phillip Ward4,5, Sharna Jamadar4,5, Gary Egan4,5, Suyash Awate3, and Zhaolin Chen4
1Monash University, Clayton, Australia, 2IITB Monash Research Academy, Mumbai, India, 3Indian Institute of Technology, Bombay, Mumbai, India, 4Monash Biomedical Imaging, Clayton, Australia, 5Turner Institute for Brain and Mental Health, Clayton, Australia
Synopsis
Simultaneous
positron emission tomography (PET) and magnetic resonance imaging (MRI) provide
complementary structural and functional information. Recent developments in
continuous infusion functional PET (fPET) have shown promising results to track
dynamic changes in brain metabolism. Although fPET provides opportunities to
investigate functional metabolism in the brain, the temporal resolution still remains a major challenge compared to functional MRI (fMRI). In this work, we
use anatomical MRI information modeled as a Bowsher prior to improve the sensitivity of fPET at higher temporal
resolution. We validate our MRI-assisted fPET analysis framework using both in-silico and in-vivo experiments.
Introduction
Conventional 18-F-fluorodeoxyglucose (FDG) - positron emission tomography (PET) based on bolus injection of radiotracer offers only a static snapshot
of brain metabolism a narrow time-window to track the metabolic dynamics at
the beginning of the scan.1 Recently, continuous infusion-based
functional PET (fPET) with dynamic PET image reconstruction was introduced to improve
the temporal dynamics of the metabolic measurements.1,2 Several
studies report usage of fPET to isolate task related glucose metabolism,1,3,4
and resting-state brain metabolic networks.5 However, fPET suffers
from low temporal resolution (> 1 minute) due to radiotracer dosage and
instrumentation limitations. Previous studies, leveraging MRI anatomical knowledge, showed improvement of static low-dose PET image quality using dictionaries,6,7 and deep learning-based solutions.8 A recent study involving an improved version of anatomical MRI-based Bowsher prior, applied to static PET, showed better bias-variance characteristics compared to other gradient-based priors.9 To date, MRI-assisted PET image quality improvement has not been applied and
validated for fPET studies. Instead, standard Gaussian smoothing (with large
kernel size) is used for denoising, resulting in over-smoothed images and partial
volume effects.
We hypothesized
that MRI anatomical information modeled as a Markov Random Field (MRF) based
Bowsher prior can assist in improving fPET image quality by delineating anatomical
boundaries as well as suppressing noise in the fPET images, and consequently increase the
sensitivity of fPET in detection of brain metabolism. Using a simulated
visual task-based experiment we analyze and compare the performance of the
approach in combination with independent component analysis (ICA) of fPET spatio-temporal
data matrices. The performance of the MR assisted method is also validated
using in-vivo data.Methods
The
analysis framework is summarized in Figure 1.
Bowsher prior from MRI. Let $$$U$$$ and $$$\{V^t\}_{t=1}^{T}$$$ denote the MRI anatomical image and $$$T$$$ frames from the dynamic fPET sequence, respectively. We formulate our denoising problem to obtain the denoised $$$t$$$th frame as:
$$\arg \min_{X^t} D(V^t,X^t) + \alpha R(U,X^t)$$.
Here, $$$D(.)$$$ and $$$R(.)$$$ denote the $$$l_2$$$ norm-based data-consistency term and Bowsher prior term (weighted by scalar $$$\alpha$$$),
respectively. The prior $$$R(U,X^t) := \sum_i \sum_j w_{ij} (X^t_i - X^t_j)^2$$$, where $$$w_{ij} \forall i,j$$$s is computed from the MRI image $$$U$$$, such that $$w_{ij}= \begin{cases} 1 ,& \text{if } j \in \mathcal{W_i} \\ 0, & \text{otherwise}\end{cases}.$$ The set $$$\mathcal{W}_i$$$ consists of the closest (in terms of absolute intensity difference) $$$q$$$ out of $$$N$$$ immediate neighbors of voxel $$$i$$$ in the MRI image.
Spatial ICA. The set of denoised images, $$$\{\widehat{X^t}\}_{t=1}^T$$$, are re-arranged into a spatio-temporal matrix $$$Y$$$ and
pre-whitened before performing ICA. While columns of
$$$Y$$$ represent
the time-series of a single voxel, the rows represent measurements at different voxels. The ICA algorithm decomposes $$$Y$$$ into independent
components, $$$S$$$, and corresponding mixing matrix $$$A$$$, such that $$$Y = AS$$$.
Here, both the unknowns $$$A$$$ and $$$S$$$ are estimated by an iterative process.10 The
independent components,$$$S$$$, represent brain metabolic activation.Data Preparation
Simulation data. We generated a synthetic dynamic fPET simulation
consisting of 90 frames using a simulated MNI template T1 weighted MRI image. Task-based brain
activation was simulated using the two-tissue compartment model.5
In vivo data. We collected fPET and T1-weighted MRI datasets from
five healthy subjects (ethics approved) using a 3T Siemens mMR
scanner. The data included 10-minute resting,
10-minute visual stimulation using a checkerboard pattern and another 10-minute resting periods for each subject. The
PET list-mode data were binned to yield frames with temporal resolution of 60 and
30 seconds. Standard OP-OSEM (3 iterations, 21
subsets) reconstruction with corrections was carried out using vendor provided
software.Results and Discussion
Bowsher prior processed fPET images. The processed fPET images using different methods
are shown in Figure 2. The Bowsher-prior based fPET image (Figure 2 (c))
shows well defined anatomical boundaries and reduction of noise. In contrast, the
Gaussian smoothed fPET images (Figure 2 (d) - (e)) show reduced image resolution and strong partial
volume effects.
Simulated data. The ICA components corresponding to
the simulated visual cortex activation are shown in Figure 3. Compared with the ground truth activation maps (Figure 3 (a1) - (a3)), the Bowsher-prior based fPET
images (Figure 3 (b1) – (b3)) with an isotropic kernel size of 5 mm is able
to identify correct brain activation. In contrast, the Gaussian smoothed fPET
images, even with larger kernel sizes of 7 mm isotropic (Figure 3 (c1) – (c3)) and 13 mm isotropic (Figure 3 (d1) – (d3)) show larger errors in estimation of activated regions in the visual cortex.
In-vivo data. ICA components of the processed fPET images
with temporal resolution of 60 and 30 seconds are shown in Figures 4 and 5,
respectively. At higher temporal resolution (30 seconds), as the Gaussian smoothing kernel
increases, a larger activation region is identified and seems to
encompass surrounding regions of the visual cortex. On the other hand, the independent
components from the Bowsher prior based results indicate accurate activation
regions even at higher temporal resolution, consistent with our simulation study. Conclusion
This work proposes an MRI-assisted fPET analysis framework using anatomical information from MRI to improve fPET image
quality. Using in-silico and in-vivo experiments, we observe that
the MRI-assisted fPET analysis method significantly improves the sensitivity to
identify task related brain metabolic activation even using very low-dose PET
at high temporal resolution. Acknowledgements
No acknowledgement found.References
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