Geir Humborstad Sørland, Henrik Walbye Anthonsen, Sebastien Simon
{"title":"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","authors":"Geir Humborstad Sørland, Henrik Walbye Anthonsen, Sebastien Simon","doi":"10.1007/s00723-024-01718-z","DOIUrl":null,"url":null,"abstract":"<div><p>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.</p></div>","PeriodicalId":469,"journal":{"name":"Applied Magnetic Resonance","volume":"55 11","pages":"1437 - 1453"},"PeriodicalIF":1.1000,"publicationDate":"2024-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00723-024-01718-z.pdf","citationCount":"0","resultStr":"{\"title\":\"A Method for Analyzing Data from 1- and 2-Dimensional Relaxation and Diffusion NMR Experiments by Determination of their Expectation Values and Standard Deviations\",\"authors\":\"Geir Humborstad Sørland, Henrik Walbye Anthonsen, Sebastien Simon\",\"doi\":\"10.1007/s00723-024-01718-z\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>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.</p></div>\",\"PeriodicalId\":469,\"journal\":{\"name\":\"Applied Magnetic Resonance\",\"volume\":\"55 11\",\"pages\":\"1437 - 1453\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2024-09-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s00723-024-01718-z.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applied Magnetic Resonance\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00723-024-01718-z\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"PHYSICS, ATOMIC, MOLECULAR & CHEMICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Magnetic Resonance","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s00723-024-01718-z","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, ATOMIC, MOLECULAR & CHEMICAL","Score":null,"Total":0}
A Method for Analyzing Data from 1- and 2-Dimensional Relaxation and Diffusion NMR Experiments by Determination of their Expectation Values and Standard Deviations
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.
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.