Optimization of spin-lock times in T mapping of knee cartilage: Cramér-Rao bounds versus matched sampling-fitting

Magn Reson Med. 2022 Mar;87(3):1418-1434. doi: 10.1002/mrm.29063. Epub 2021 Nov 4.

Abstract

Purpose: To compare different optimization approaches for choosing the spin-lock times (TSLs), in spin-lattice relaxation time in the rotating frame (T ) mapping.

Methods: Optimization criteria for TSLs based on Cramér-Rao lower bounds (CRLB) are compared with matched sampling-fitting (MSF) approaches for T mapping on synthetic data, model phantoms, and knee cartilage. The MSF approaches are optimized using robust methods for noisy cost functions. The MSF approaches assume that optimal TSLs depend on the chosen fitting method. An iterative non-linear least squares (NLS) and artificial neural networks (ANN) are tested as two possible T fitting methods for MSF approaches.

Results: All optimized criteria were better than non-optimized ones. However, we observe that a modified CRLB and an MSF based on the mean of the normalized absolute error (MNAE) were more robust optimization approaches, performing well in all tested cases. The optimized TSLs obtained the best performance with synthetic data (3.5-8.0% error), model phantoms (1.5-2.8% error), and healthy volunteers (7.7-21.1% error), showing stable and improved quality results, comparing to non-optimized approaches (4.2-13.3% error on synthetic data, 2.1-6.2% error on model phantoms, 9.8-27.8% error on healthy volunteers).

Conclusion: A modified CRLB and the MSF based on MNAE are robust optimization approaches for choosing TSLs in T mapping. All optimized criteria allowed good results even using rapid scans with two TSLs when a complex-valued fitting is done with iterative NLS or ANN.

Keywords: Cramér-Rao bounds; T1ρ relaxation; quantitative MRI; spin-lock times.

Publication types

  • Research Support, N.I.H., Extramural
  • Research Support, Non-U.S. Gov't

MeSH terms

  • Cartilage, Articular* / diagnostic imaging
  • Humans
  • Knee
  • Knee Joint / diagnostic imaging
  • Magnetic Resonance Imaging*
  • Phantoms, Imaging