Parsimonious discretization for characterizing multi-exponential decay in magnetic resonance.,NMR in Biomedicine

当前位置： X-MOL 学术 › NMR Biomed. › 论文详情

Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)

Parsimonious discretization for characterizing multi-exponential decay in magnetic resonance.
NMR in Biomedicine ( IF 2.7 ) Pub Date : 2020-08-12 , DOI: 10.1002/nbm.4366
Jean-Marie Bonny _{1,

2} , Amidou Traore _{1,

2} , Mustapha Bouhrara ₃ , Richard G Spencer ₃ , Guilhem Pages _{1,

2}

Affiliation

We address the problem of analyzing noise‐corrupted magnetic resonance transverse decay signals as a superposition of underlying independently decaying monoexponentials of positive amplitude. First, we indicate the manner in which this is an ill‐conditioned inverse problem, rendering the analysis unstable with respect to noise. Second, we define an approach to this analysis, stabilized solely by the nonnegativity constraint without regularization. This is made possible by appropriate discretization, which is coarser than that often used in practice. Thirdly, we indicate further stabilization by inspecting the plateaus of cumulative distributions. We demonstrate our approach through analysis of simulated myelin water fraction measurements, and compare the accuracy with more conventional approaches. Finally, we apply our method to brain imaging data obtained from a human subject, showing that our approach leads to maps of the myelin water fraction which are much more stable with respect to increasing noise than those obtained with conventional approaches.

中文翻译：

用于表征磁共振多指数衰减的简约离散化。

我们解决了将噪声损坏的磁共振横向衰减信号分析为正振幅的潜在独立衰减单指数叠加的问题。首先，我们指出这是一个病态反问题的方式，使分析在噪声方面不稳定。其次，我们定义了一种分析方法，仅通过非负性约束来稳定而无需正则化。这是通过适当的离散化实现的，它比实践中经常使用的更粗糙。第三，我们通过检查累积分布的平稳状态表明进一步稳定。我们通过分析模拟髓鞘水分数测量来展示我们的方法，并将准确性与更传统的方法进行比较。最后，

更新日期：2020-08-12

点击分享查看原文

点击收藏

阅读更多本刊最新论文本刊介绍/投稿指南11