Stabilization of parameter estimates from multiexponential decay through extension into higher dimensions

Analysis of multiexponential decay has remained a topic of active research for over 200 years. This attests to the widespread importance of this problem and to the profound difficulties in characterizing the underlying monoexponential decays. Here, we demonstrate the fundamental improvement in stabi...

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Autores principales: Bi, Chuan, Fishbein, Kenneth, Bouhrara, Mustapha, Spencer, Richard G.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8986819/
https://www.ncbi.nlm.nih.gov/pubmed/35388008
http://dx.doi.org/10.1038/s41598-022-08638-7
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author Bi, Chuan
Fishbein, Kenneth
Bouhrara, Mustapha
Spencer, Richard G.
author_facet Bi, Chuan
Fishbein, Kenneth
Bouhrara, Mustapha
Spencer, Richard G.
author_sort Bi, Chuan
collection PubMed
description Analysis of multiexponential decay has remained a topic of active research for over 200 years. This attests to the widespread importance of this problem and to the profound difficulties in characterizing the underlying monoexponential decays. Here, we demonstrate the fundamental improvement in stability and conditioning of this classic problem through extension to a second dimension; we present statistical analysis, Monte-Carlo simulations, and experimental magnetic resonance relaxometry data to support this remarkable fact. Our results are readily generalizable to higher dimensions and provide a potential means of circumventing conventional limits on multiexponential parameter estimation.
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spelling pubmed-89868192022-04-08 Stabilization of parameter estimates from multiexponential decay through extension into higher dimensions Bi, Chuan Fishbein, Kenneth Bouhrara, Mustapha Spencer, Richard G. Sci Rep Article Analysis of multiexponential decay has remained a topic of active research for over 200 years. This attests to the widespread importance of this problem and to the profound difficulties in characterizing the underlying monoexponential decays. Here, we demonstrate the fundamental improvement in stability and conditioning of this classic problem through extension to a second dimension; we present statistical analysis, Monte-Carlo simulations, and experimental magnetic resonance relaxometry data to support this remarkable fact. Our results are readily generalizable to higher dimensions and provide a potential means of circumventing conventional limits on multiexponential parameter estimation. Nature Publishing Group UK 2022-04-06 /pmc/articles/PMC8986819/ /pubmed/35388008 http://dx.doi.org/10.1038/s41598-022-08638-7 Text en © This is a U.S. Government work and not under copyright protection in the US; foreign copyright protection may apply 2022 https://creativecommons.org/licenses/by/4.0/ Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Bi, Chuan
Fishbein, Kenneth
Bouhrara, Mustapha
Spencer, Richard G.
Stabilization of parameter estimates from multiexponential decay through extension into higher dimensions
title Stabilization of parameter estimates from multiexponential decay through extension into higher dimensions
title_full Stabilization of parameter estimates from multiexponential decay through extension into higher dimensions
title_fullStr Stabilization of parameter estimates from multiexponential decay through extension into higher dimensions
title_full_unstemmed Stabilization of parameter estimates from multiexponential decay through extension into higher dimensions
title_short Stabilization of parameter estimates from multiexponential decay through extension into higher dimensions
title_sort stabilization of parameter estimates from multiexponential decay through extension into higher dimensions
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8986819/
https://www.ncbi.nlm.nih.gov/pubmed/35388008
http://dx.doi.org/10.1038/s41598-022-08638-7
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