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Quantitative stray-field T1 relaxometry with the matrix pencil method.

Dennis Wörtge1, Matthew Parziale2, Jan Claussen3

  • 1Institut für Technische Physik, TU Ilmenau, PO Box 100 565, 98684 Ilmenau, Germany; P&G Service GmbH., German Inovation Center, Sulzacher Straße 40, 65824 Schwalbach am Taunus, Germany.

Journal of Magnetic Resonance (San Diego, Calif. : 1997)
|April 15, 2023
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The matrix pencil method (MPM) effectively processes low-field NMR T1 relaxometry data. MPM demonstrates superior performance in separating and quantifying multiple relaxation components, outperforming inverse Laplace transformation.

Keywords:
Data processingMatrix pencil methodNMR relaxometry

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Area of Science:

  • Nuclear Magnetic Resonance (NMR) Spectroscopy
  • Relaxometry and Magnetic Resonance Imaging (MRI)

Background:

  • Low-field NMR T1 relaxometry is crucial for material characterization.
  • Quantitative analysis of multiexponential T1 relaxation data presents challenges.
  • Stray-field sensors offer a unique platform for NMR measurements in inhomogeneous fields.

Purpose of the Study:

  • To evaluate the matrix pencil method (MPM) for quantitative processing of multiexponential T1 relaxometry data.
  • To compare MPM's performance against inverse Laplace transformation (ILT) as a benchmark.
  • To assess MPM's capabilities in resolving multiple relaxation components and quantifying their contributions.

Main Methods:

  • T1 saturation recovery curves were measured using a stray-field sensor in inhomogeneous magnetic fields.
  • Test liquids included 0.9% brine solutions with varying Gd3+ contrast agent concentrations.
  • Data was processed using both the matrix pencil method (MPM) and inverse Laplace transformation (ILT).

Main Results:

  • MPM demonstrated superior performance in separating two and three distinct relaxation components.
  • MPM effectively quantified the time constants of these components.
  • The study explored MPM's resolution limits and sensitivity to component volume ratios.

Conclusions:

  • The matrix pencil method is a powerful tool for quantitative analysis of multiexponential T1 relaxometry data.
  • MPM offers advantages over ILT in resolving and quantifying multiple relaxation components in low-field NMR.
  • This method holds promise for advanced characterization using stray-field NMR sensors.