A Method for Analyzing Data from 1- and 2-Dimensional Relaxation and Diffusion NMR Experiments by Determination of their Expectation Values and Standard Deviations

IF 1.1 4区 物理与天体物理 Q4 PHYSICS, ATOMIC, MOLECULAR & CHEMICAL Applied Magnetic Resonance Pub Date : 2024-09-20 DOI:10.1007/s00723-024-01718-z
Geir Humborstad Sørland, Henrik Walbye Anthonsen, Sebastien Simon
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Abstract

A method for analyzing ill-posed multi-exponentially decaying data from 1- and 2-Dimensional experiments by Determination of the Expectation Values and their Standard Deviation has been developed. It combines a repeated use of the discrete Anahess approach for analyzing the dynamic data where a regrouping of the noise in the data is performed for each repetition. These resulting expectation values are used as initial and restricting values to produce a distribution using the Inverse Laplace transform, where position and volume of the distribution can then be reported with expectation value and standard deviation. The method is verified on synthetic data and tested on real data in both one and two dimensions.

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通过确定期望值和标准偏差分析一维和二维弛豫与扩散 NMR 实验数据的方法
我们开发了一种通过确定期望值及其标准偏差来分析来自一维和二维实验的多指数衰减数据的方法。该方法结合了离散阿奈斯分析动态数据的重复使用方法,每次重复都会对数据中的噪声进行重新分组。由此产生的期望值被用作初始值和限制值,利用反拉普拉斯变换产生分布,然后用期望值和标准偏差报告分布的位置和体积。该方法在合成数据上得到了验证,并在一维和二维的真实数据上进行了测试。
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来源期刊
Applied Magnetic Resonance
Applied Magnetic Resonance 物理-光谱学
CiteScore
1.90
自引率
10.00%
发文量
59
审稿时长
2.3 months
期刊介绍: Applied Magnetic Resonance provides an international forum for the application of magnetic resonance in physics, chemistry, biology, medicine, geochemistry, ecology, engineering, and related fields. The contents include articles with a strong emphasis on new applications, and on new experimental methods. Additional features include book reviews and Letters to the Editor.
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