Vastly accelerated linear least-squares fitting with numerical optimization for dual-input delay-compensated quantitative liver perfusion mapping

Magn Reson Med. 2018 Apr;79(4):2415-2421. doi: 10.1002/mrm.26888. Epub 2017 Aug 22.

Abstract

Purpose: To propose an efficient algorithm to perform dual input compartment modeling for generating perfusion maps in the liver.

Methods: We implemented whole field-of-view linear least squares (LLS) to fit a delay-compensated dual-input single-compartment model to very high temporal resolution (four frames per second) contrast-enhanced 3D liver data, to calculate kinetic parameter maps. Using simulated data and experimental data in healthy subjects and patients, whole-field LLS was compared with the conventional voxel-wise nonlinear least-squares (NLLS) approach in terms of accuracy, performance, and computation time.

Results: Simulations showed good agreement between LLS and NLLS for a range of kinetic parameters. The whole-field LLS method allowed generating liver perfusion maps approximately 160-fold faster than voxel-wise NLLS, while obtaining similar perfusion parameters.

Conclusions: Delay-compensated dual-input liver perfusion analysis using whole-field LLS allows generating perfusion maps with a considerable speedup compared with conventional voxel-wise NLLS fitting. Magn Reson Med 79:2415-2421, 2018. © 2017 International Society for Magnetic Resonance in Medicine.

Keywords: bolus arrival time; dynamic contrast-enhanced MRI; hepatic lesion perfusion analysis; linear and nonlinear least squares fitting; linear inversion.

Publication types

  • Research Support, N.I.H., Extramural

MeSH terms

  • Algorithms
  • Computer Simulation
  • Contrast Media
  • Humans
  • Image Processing, Computer-Assisted / methods*
  • Kinetics
  • Least-Squares Analysis
  • Linear Models
  • Liver / diagnostic imaging*
  • Liver Neoplasms / diagnostic imaging*
  • Models, Theoretical
  • Perfusion
  • Reproducibility of Results

Substances

  • Contrast Media