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

被引：5

作者：

Bi, Chuan ^{[1
]}

Fishbein, Kenneth ^{[1
]}

Bouhrara, Mustapha ^{[2
]}

Spencer, Richard G. ^{[1
]}

机构：

[1] NIA, Magnet Resonance Imaging & Spect Sect, NIH, Baltimore, MD 21224 USA

[2] NIA, Magnet Resonance Phys Aging & Dementia Unit, NIH, Baltimore, MD 21224 USA

来源：

SCIENTIFIC REPORTS | 2022年 / 12卷 / 01期

基金：

美国国家卫生研究院;

关键词：

INVERSE LAPLACE TRANSFORM; MULTIDIMENSIONAL NMR; FLUORESCENCE DECAY; RELAXATION; DISTRIBUTIONS; RESOLUTION; PITFALLS; SUMS;

D O I：

10.1038/s41598-022-08638-7

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页数：16

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