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arXiv 1707.07569physics.med-ph
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DCE-MRI重建过程中作为时间约束的示踪剂动力学模型

Tracer Kinetic Models as Temporal Constraints during DCE-MRI reconstruction

Sajan Goud Lingala, Yi Guo, R. Marc Lebel, Yinghua Zhu, Yannick Bliesener, Meng Law, Krishna S. Nayak

摘要:

目的:应用示踪剂动力学模型作为欠采样动态对比增强(DCE)MRI重建过程中的时间约束。方法:模拟一系列生理动力学参数的浓度-时间曲线库。该库被减少到一个字典的时间基地,其中每个配置文件是近似的稀疏线性组合的基地。图像重建被公式化为估计浓度分布和稀疏模型系数与一个固定的稀疏水平。进行模拟,以评估建模误差,并在存在噪声的动力学参数估计的误差统计。在不同信噪比(SNR=20-40)和(k-t)空间欠采样因子(R=20)下对脑肿瘤DCE数字参考对象(DRO)和12个脑肿瘤活体3 T数据集(R=20-40)进行回顾性欠采样实验。该方法与现有的基于压缩感知的时间有限差分(tFD)重建方法进行比较。结果如下:模拟表明,2和3的稀疏水平分别从Patlak和扩展的Tofts-Kety(ETK)模型的库配置文件建模。噪声敏感性分析表明,等效的动力学参数估计误差统计噪声浓度曲线,模型近似的配置文件。基于DRO的实验显示在SNR在10-30之间时从20倍欠采样数据恢复动力学图的良好保真度。体内实验表明,在R>=20时,与tFD相比,所提出的方法在动力学映射中的偏倚和不确定性降低。结论:示踪剂动力学模型可以在DCE-MRI重建期间作为时间约束应用,使得能够从欠采样数据进行更准确的重建。该方法是灵活的,可以使用几个动力学模型,并且不需要调整正则化参数。

英文摘要:

Purpose: To apply tracer kinetic models as temporal constraints during reconstruction of under-sampled dynamic contrast enhanced (DCE) MRI. Methods: A library of concentration v.s time profiles is simulated for a range of physiological kinetic parameters. The library is reduced to a dictionary of temporal bases, where each profile is approximated by a sparse linear combination of the bases. Image reconstruction is formulated as estimation of concentration profiles and sparse model coefficients with a fixed sparsity level. Simulations are performed to evaluate modeling error, and error statistics in kinetic parameter estimation in presence of noise. Retrospective under-sampling experiments are performed on a brain tumor DCE digital reference object (DRO) at different signal to noise levels (SNR=20-40) at (k-t) space under-sampling factor (R=20), and 12 brain tumor in- vivo 3T datasets at (R=20-40). The approach is compared against an existing compressed sensing based temporal finite-difference (tFD) reconstruction approach. Results: Simulations demonstrate that sparsity levels of 2 and 3 model the library profiles from the Patlak and extended Tofts-Kety (ETK) models, respectively. Noise sensitivity analysis showed equivalent kinetic parameter estimation error statistics from noisy concentration profiles, and model approximated profiles. DRO based experiments showed good fidelity in recovery of kinetic maps from 20-fold under- sampled data at SNRs between 10-30. In-vivo experiments demonstrated reduced bias and uncertainty in kinetic mapping with the proposed approach compared to tFD at R>=20. Conclusions: Tracer kinetic models can be applied as temporal constraints during DCE-MRI reconstruction, enabling more accurate reconstruction from under- sampled data. The approach is flexible, can use several kinetic models, and does not require tuning of regularization parameters.

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