Department of Diagnostic Radiology, The University of Hong Kong, Hong Kong, People's Republic of China.
Institute for Diagnostic and Interventional Radiology, University Medical Center Göttingen, Göttingen, Germany.
Magn Reson Med. 2024 Sep;92(3):945-955. doi: 10.1002/mrm.30053. Epub 2024 Mar 5.
We aimed to incorporate a deep learning prior with k-space data fidelity for accelerating hyperpolarized carbon-13 MRSI, demonstrated on synthetic cancer datasets.
A two-site exchange model, derived from the Bloch equation of MR signal evolution, was firstly used in simulating training and testing data, that is, synthetic phantom datasets. Five singular maps generated from each simulated dataset were used to train a deep learning prior, which was then employed with the fidelity term to reconstruct the undersampled MRI k-space data. The proposed method was assessed on synthetic human brain tumor images (N = 33), prostate cancer images (N = 72), and mouse tumor images (N = 58) for three undersampling factors and 2.5% additive Gaussian noise. Furthermore, varied levels of Gaussian noise with SDs of 2.5%, 5%, and 10% were added on synthetic prostate cancer data, and corresponding reconstruction results were evaluated.
For quantitative evaluation, peak SNRs were approximately 32 dB, and the accuracy was generally improved for 5 to 8 dB compared with those from compressed sensing with L1-norm regularization or total variation regularization. Reasonable normalized RMS error were obtained. Our method also worked robustly against noise, even on a data with noise SD of 10%.
The proposed singular value decomposition + iterative deep learning model could be considered as a general framework that extended the application of deep learning MRI reconstruction to metabolic imaging. The morphology of tumors and metabolic images could be measured robustly in six times acceleration using our method.
我们旨在将深度学习先验与 k 空间数据保真度相结合,以加速基于人工智能的碳-13 MRSI,这在合成癌症数据集上得到了验证。
首先,使用源于磁共振信号演化布洛赫方程的双位点交换模型,对训练和测试数据(即合成幻影数据集)进行模拟。从每个模拟数据集生成的五个奇异图被用于训练深度学习先验,然后将其与保真度项一起用于重建欠采样的 MRI k 空间数据。在三个欠采样因子和 2.5%的加性高斯噪声下,对合成人脑肿瘤图像(N=33)、前列腺癌图像(N=72)和小鼠肿瘤图像(N=58)进行了评估。此外,在合成前列腺癌数据上添加了具有标准差为 2.5%、5%和 10%的不同水平的高斯噪声,并对相应的重建结果进行了评估。
在定量评估中,峰值 SNR 约为 32dB,与基于压缩感知的 L1 范数正则化或全变分正则化的重建结果相比,精度普遍提高了 5 到 8dB。得到了合理的归一化均方根误差。即使在噪声标准差为 10%的数据上,我们的方法也能稳健地工作。
所提出的奇异值分解+迭代深度学习模型可以被视为一个通用框架,将深度学习 MRI 重建的应用扩展到代谢成像。使用我们的方法可以在六倍加速下稳健地测量肿瘤的形态和代谢图像。