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Simple MATLAB and Python scripts for multi-exponential analysis.

Armin Afrough^1,2, Rasoul Mokhtari¹, Karen L Feilberg¹

¹Danish Offshore Technology Centre, Technical University of Denmark, Kongens Lyngby, Denmark.

Magnetic Resonance in Chemistry : MRC

|May 30, 2024

Summary

This summary is machine-generated.

This study presents simple MATLAB and Python code for analyzing multi-exponential decay, crucial in magnetic resonance applications. The software efficiently transforms decay data into lifetime distributions, aiding complex fluid and porous material analysis.

Keywords:

1H NMR exponential decay inverse problems magnetic resonance relaxation multi‐exponential analysis

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Area of Science:

Physics
Chemistry
Data Science

Background:

Multi-exponential decay is a common phenomenon in magnetic resonance (MR) spectroscopy, relaxation, and imaging.
Analyzing such complex decay patterns is essential for understanding various physical systems.

Purpose of the Study:

To develop and present simple, efficient MATLAB and Python functions for regularized multi-exponential analysis.
To provide robust tools for transforming exponential decay data into distributions of decay lifetimes.

Main Methods:

Implementation of regularized least-squares solutions for 1D and 2D data inversion.
Development of concise code (~5 lines for 1D, ~20 lines for 2D) with robust stopping rules.
Application of the methods to real-world examples including crude oil and porous material fluid mixtures.

Main Results:

Production-quality outputs for multi-exponential analysis using minimal code.
Successful transformation of complex decay data into meaningful lifetime distributions.
Demonstration of the software's utility in analyzing magnetic resonance relaxation of diverse samples.

Conclusions:

The developed software offers a simple, open-architecture solution for multi-exponential analysis.
The code is readily usable or incorporable into other research software for magnetic resonance and other fields.
This work facilitates deeper insights into physical phenomena characterized by multi-exponential decay.