An efficient approach to optimal experimental design for magnetic resonance fingerprinting with B-splines.
An efficient approach to optimal experimental design for magnetic resonance fingerprinting with B-splines.
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DOI：
10.1002/mrm.29212
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发表时间：
2022-07
影响因子：
3.3
通讯作者：
Zhao, Bo
中科院分区：
文献类型：
--
作者：
Crafts, Evan Scope;Lu, Hengfa;Ye, Huihui;Wald, Lawrence L.;Zhao, Bo
介绍一种计算高效的方法，利用克拉美 - 罗界（Cramér - Rao bound）优化磁共振指纹（MR Fingerprinting）实验的数据采集参数。
本文针对磁共振指纹提出了一种解决最优实验设计（OED）问题的新方法，该方法利用了早期的一个观察结果，即磁共振指纹实验的优化数据采集参数具有高度的结构性。具体而言，所提出的方法通过用一类特殊的分段多项式（即B样条）表示数据采集参数序列来捕捉所需的结构。这将低维样条子空间约束纳入到最优实验设计问题中，显著减小了问题的搜索空间，从而提高了计算效率。借助丰富的B样条表示，所提出的方法还允许纳入关于不同采集参数结构的先验知识，这有利于实验设计。
通过数值模拟、体模实验和体内实验对所提出方法的有效性进行了评估。所提出的方法相较于现有方法，计算效率提高了两个数量级，同时在信噪比效率方面具有相当的优势。它能够在大约一分钟内解决具有典型采集长度的磁共振指纹最优实验设计问题。
所提出的方法显著提高了磁共振指纹最优实验设计的计算效率，增强了其在各种定量磁共振成像应用中的实际效用。
To introduce a computationally efficient approach to optimizing the data acquisition parameters of MR Fingerprinting experiments with the Cramér-Rao bound. This paper presents a new approach to the optimal experimental design (OED) problem for MR Fingerprinting, which leverages an early observation that the optimized data acquisition parameters of MR Fingerprinting experiments are highly structured. Specifically, the proposed approach captures the desired structure by representing the sequences of data acquisition parameters with a special class of piecewise polynomials, i.e., B-splines. This incorporates low-dimensional spline subspace constraints into the OED problem, which significantly reduces the search space of the problem, thereby improving the computational efficiency. With the rich B-spline representations, the proposed approach also allows for incorporating prior knowledge on the structure of different acquisition parameters, which facilitates the experimental design. The effectiveness of the proposed approach was evaluated using numerical simulations, phantom experiments, and in vivo experiments. The proposed approach achieves a two-order-of-magnitude improvement of the computational efficiency over the state-of-the-art approaches, while providing a comparable signal-to-noise ratio efficiency benefit. It enables an optimal experimental design problem for MR Fingerprinting with a typical acquisition length to be solved in approximately one minute. The proposed approach significantly improves the computational efficiency of the optimal experimental design for MR Fingerprinting, which enhances its practical utility for a variety of quantitative MRI applications.
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