Simple MATLAB and Python scripts for multi-exponential analysis (2025)

Afrough, A., Mokhtari, R. (Accepted/In press). Simple MATLAB and Python scripts for multi-exponential analysis. Magnetic Resonance in Chemistry. https://doi.org/10.1002/mrc.5453

Afrough, Armin ; Mokhtari, Rasoul ; Feilberg, Karen L. / Simple MATLAB and Python scripts for multi-exponential analysis. In: Magnetic Resonance in Chemistry. 2024.

@article{87ce5e62efb04f8983261e70354183ec,

title = "Simple MATLAB and Python scripts for multi-exponential analysis",

abstract = "Multi-exponential decay is prevalent in magnetic resonance spectroscopy, relaxation, and imaging. This paper describes simple MATLAB and Python functions and scripts for regularized multi-exponential analysis methods for 1D and 2D data and example test problems and experiments. Regularized least-squares solutions provide production-quality outputs with robust stopping rules in ~5 and ~20 lines of code for 1D and 2D inversions, respectively. The software provides an open-architecture simple solution for transforming exponential decay data to the distribution of their decay lifetimes. Examples from magnetic resonance relaxation of a complex fluid, a Danish North Sea crude oil, and fluid mixtures in porous materials—brine/crude oil mixture in North Sea reservoir chalk—are presented. Developed codes may be incorporated in other software or directly used by other researchers, in magnetic resonance relaxation, diffusion, and imaging or other physical phenomena that require multi-exponential analysis.",

keywords = "1H, Exponential decay, Inverse problems, Magnetic resonance relaxation, Multi-exponential analysis, NMR",

author = "Armin Afrough and Rasoul Mokhtari and Feilberg, {Karen L.}",

note = "Publisher Copyright: {\textcopyright} 2024 The Authors. Magnetic Resonance in Chemistry published by John Wiley & Sons Ltd.",

year = "2024",

doi = "10.1002/mrc.5453",

language = "English",

journal = "Magnetic Resonance in Chemistry",

issn = "0749-1581",

publisher = "JohnWiley & Sons Ltd.",

}

Afrough, A, Mokhtari, R 2024, 'Simple MATLAB and Python scripts for multi-exponential analysis', Magnetic Resonance in Chemistry. https://doi.org/10.1002/mrc.5453

Simple MATLAB and Python scripts for multi-exponential analysis. / Afrough, Armin; Mokhtari, Rasoul; Feilberg, Karen L.
In: Magnetic Resonance in Chemistry, 2024.

Research output: Contribution to journal › Journal article › Research › peer-review

TY - JOUR

T1 - Simple MATLAB and Python scripts for multi-exponential analysis

AU - Afrough, Armin

AU - Mokhtari, Rasoul

AU - Feilberg, Karen L.

N1 - Publisher Copyright:© 2024 The Authors. Magnetic Resonance in Chemistry published by John Wiley & Sons Ltd.

PY - 2024

Y1 - 2024

N2 - Multi-exponential decay is prevalent in magnetic resonance spectroscopy, relaxation, and imaging. This paper describes simple MATLAB and Python functions and scripts for regularized multi-exponential analysis methods for 1D and 2D data and example test problems and experiments. Regularized least-squares solutions provide production-quality outputs with robust stopping rules in ~5 and ~20 lines of code for 1D and 2D inversions, respectively. The software provides an open-architecture simple solution for transforming exponential decay data to the distribution of their decay lifetimes. Examples from magnetic resonance relaxation of a complex fluid, a Danish North Sea crude oil, and fluid mixtures in porous materials—brine/crude oil mixture in North Sea reservoir chalk—are presented. Developed codes may be incorporated in other software or directly used by other researchers, in magnetic resonance relaxation, diffusion, and imaging or other physical phenomena that require multi-exponential analysis.

AB - Multi-exponential decay is prevalent in magnetic resonance spectroscopy, relaxation, and imaging. This paper describes simple MATLAB and Python functions and scripts for regularized multi-exponential analysis methods for 1D and 2D data and example test problems and experiments. Regularized least-squares solutions provide production-quality outputs with robust stopping rules in ~5 and ~20 lines of code for 1D and 2D inversions, respectively. The software provides an open-architecture simple solution for transforming exponential decay data to the distribution of their decay lifetimes. Examples from magnetic resonance relaxation of a complex fluid, a Danish North Sea crude oil, and fluid mixtures in porous materials—brine/crude oil mixture in North Sea reservoir chalk—are presented. Developed codes may be incorporated in other software or directly used by other researchers, in magnetic resonance relaxation, diffusion, and imaging or other physical phenomena that require multi-exponential analysis.

KW - 1H

KW - Exponential decay

KW - Inverse problems

KW - Magnetic resonance relaxation

KW - Multi-exponential analysis

KW - NMR

U2 - 10.1002/mrc.5453

DO - 10.1002/mrc.5453

M3 - Journal article

C2 - 38813596

AN - SCOPUS:85194776232

SN - 0749-1581

JO - Magnetic Resonance in Chemistry

JF - Magnetic Resonance in Chemistry

ER -

Afrough A, Mokhtari R, Feilberg KL. Simple MATLAB and Python scripts for multi-exponential analysis. Magnetic Resonance in Chemistry. 2024. doi: 10.1002/mrc.5453