Uniqueness of poroelastic and viscoelastic nonlinear inversion MR elastography at low frequencies

Physics in Medicine and Biology
Matthew D J McGarryKeith D Paulsen

Abstract

Intrinsic actuation MR elastography (IA-MRE) exploits natural pulsations of the brain as a motion source to estimate mechanical property maps. The low frequency motion of IA-MRE introduces new considerations for inversion algorithms relative to traditional external actuation MRE. Specifically, inertial forces become very small, which leaves low frequency viscoelastic inversions with a non-unique scalar multiplier. Biphasic poroelastic inversions include additional fluid-solid interaction forces to balance the elastic forces, which avoids the non-uniqueness. Analyzing the convergence behavior from different starting values using 1 Hz simulated data, IA-MRE data from a gelatin phantom and in vivo brain IA-MRE data reveal that higher frequency (50 Hz) viscoelastic inversion reaches the correct, unique solution regardless of initial property estimate; whereas, low frequency viscoelastic inversion recovers relative values of shear modulus. In the presence of measurement noise, the non-unique scalar multiplier is determined by the softest material reaching the prescribed lower bound on shear modulus. Poroelastic inversion produces a unique solution at both 50 Hz and 1 Hz; however, hydraulic conductivity must be known or accurately es...Continue Reading

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Citations

Sep 10, 2020·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Ledia LilajSebastian Hirsch
Dec 17, 2020·Acta Biomaterialia·Helge HerthumIngolf Sack
Jan 29, 2021·Frontiers in Physiology·Bernhard KreftHeiko Tzschätzsch
Feb 23, 2021·NeuroImage·Lucy V HiscoxCurtis L Johnson
Jun 30, 2021·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Ledia LilajIngolf Sack
Jul 17, 2021·Journal of the Mechanical Behavior of Biomedical Materials·E OzkayaM Kurt

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