1. Spatially constrained hyperpolarized 13C MRI pharmacokinetic rate constant map estimation using a digital brain phantom and a U-Net.
- Author
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Sahin S, Haller AB, Gordon J, Kim Y, Hu J, Nickles T, Dai Q, Leynes AP, Vigneron DB, Wang ZJ, and Larson PEZ
- Subjects
- Algorithms, Animals, Image Processing, Computer-Assisted methods, Neural Networks, Computer, Lactic Acid metabolism, Lactic Acid chemistry, Lactic Acid pharmacokinetics, Computer Simulation, Signal-To-Noise Ratio, Phantoms, Imaging, Brain diagnostic imaging, Brain metabolism, Magnetic Resonance Imaging methods, Pyruvic Acid pharmacokinetics, Pyruvic Acid chemistry, Carbon Isotopes pharmacokinetics
- Abstract
Fitting rate constants to Hyperpolarized [1-
13 C]Pyruvate (HP C13) MRI data is a promising approach for quantifying metabolism in vivo. Current methods typically fit each voxel of the dataset using a least-squares objective. With these methods, each voxel is considered independently, and the spatial relationships are not considered during fitting. In this work, we use a convolutional neural network, a U-Net, with convolutions across the 2D spatial dimensions to estimate pyruvate-to-lactate conversion rate, kPL , maps from dynamic HP C13 datasets. We designed a framework for creating simulated anatomically accurate brain data that matches typical HP C13 characteristics to provide large amounts of data for training with ground truth results. The U-Net is initially trained with the digital phantom data and then further trained with in vivo datasets for regularization. In simulation where ground-truth kPL maps are available, the U-Net outperforms voxel-wise fitting with and without spatiotemporal denoising, particularly for low SNR data. In vivo data was evaluated qualitatively, as no ground truth is available, and before regularization the U-Net predicted kPL maps appear oversmoothed. After further training with in vivo data, the resulting kPL maps appear more realistic. This study demonstrates how to use a U-Net to estimate rate constant maps for HP C13 data, including a comprehensive framework for generating a large amount of anatomically realistic simulated data and an approach for regularization. This simulation and architecture provide a foundation that can be built upon in the future for improved performance., Competing Interests: Declaration of competing interest The authors declare the following financial interests/personal relationships which may be considered as potential competing interests: Peder Larson reports a relationship with GE Healthcare that includes: funding grants. If there are other authors, they declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper., (Copyright © 2025 Elsevier Inc. All rights reserved.)- Published
- 2025
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