论文标题
轴对称B量编码的信号峰分离指数
A Signal Peak Separation Index for axisymmetric B-tensor encoding
论文作者
论文摘要
扩散加权的MRI(DW-MRI)最近对平面,球形和一般B型编码的兴趣不断增加。其中一些序列在估计白质微观结构特征时有助于传统的线性编码,通常是通过使DW-MRI对体素中轴突束的方向不太敏感。然而,对于使信号对筋膜方向更加敏感的潜力,尤其是在交叉卷饼体素中,知之甚少。 尽管平面编码已被称赞,因为其信号与体素的方向分布函数(ODF)的相似度,但线性编码仍然是几乎无可争议的选择方法的方向估计方法。本文提出了一个理论框架,以衡量轴对称B调度对束缚取向的灵敏度。提出了一个信号峰分离指数(SPSI),这是由简单的束横交模型的理论考虑的动机。理论和仿真证实了直觉,即线性编码,因为它最大化了B量各向异性,因此比所有其他轴对称B量都具有内在的优势。然而,在相同的SPSI下,将B量调节器产生更高的信号,并且可能比其Prate噪声更强大。所提出的索引以直接的方式将B型的特性与组织微观结构的属性联系起来,因此可以指导扩散序列的设计,以改善方向估计和拖拉术。
Diffusion-weighted MRI (DW-MRI) has recently seen a rising interest in planar, spherical and general B-tensor encodings. Some of these sequences have aided traditional linear encoding in the estimation of white matter microstructural features, generally by making DW-MRI less sensitive to the orientation of axon fascicles in a voxel. However, less is known about their potential to make the signal more sensitive to fascicle orientation, especially in crossing-fascicle voxels. Although planar encoding has been commended for the resemblance of its signal with the voxel's orientation distribution function (ODF), linear encoding remains the near undisputed method of choice for orientation estimation. This paper presents a theoretical framework to gauge the sensitivity of axisymmetric B-tensors to fascicle orientations. A signal peak separation index (SPSI) is proposed, motivated by theoretical considerations on a simple multi-tensor model of fascicle crossing. Theory and simulations confirm the intuition that linear encoding, because it maximizes B-tensor anisotropy, possesses an intrinsic advantage over all other axisymmetric B-tensors. At identical SPSI however, oblate B-tensors yield higher signal and may be more robust to acquisition noise than their prolate counterparts. The proposed index relates the properties of the B-tensor to those of the tissue microstructure in a straightforward way and can thus guide the design of diffusion sequences for improved orientation estimation and tractography.