Here we describe a novel method for 3D, quantitative, silent MR parameter mapping based on 1) combined T1 and T2 magnetization preparation, 2) Zero TE image encoding and 3) least-squares dictionary matching.
Introduction
Zero TE1-4 provides efficient, fast and robust 3D radial image encoding. This is because of its negligibly short RF pulses (i.e. RF pulse width ≤ (Imaging Bandwidth)-1), short repetition times (i.e. TR ~ number of readout points*sampling time) and high sampling efficiency (most of the repetition time used for data acquisition). Furthermore, it allows silent imaging (due to minimal gradient switching) and is robust against motion (3D radial) and off-resonance (TE=0).Figure
1 illustrates the pulse sequence, starting with 1) IR preparation followed by
2) six Zero TE readout segments, followed by 3) T2 preparation, followed by 4) another
six Zero TE readout segments. Each Zero TE
readout module, consists of NSpkSeg=256 radial spokes per segment. The sequence is repeated (total number of
spokes / NSpkSeg=96 times) for full 3D spatial
encoding.
The
evolution of an initial longitudinal magnetization (Mz,0) following
a Zero TE readout of n repetitions with flip angle α and repetition time TR can be
stated as:
Mz,n
= Mz,0 E1n cosnα + M0
(1- E1) (1- E1n cosnα)
/ (1- E1 cosα)
with
M0 the thermal equilibrium magnetization (i.e. proton density), and E1
= e-TR/T1, assuming perfect spoiling of transverse magnetization for
each TR. Perfect magnetization
preparation was assumed for both inversion recovery (i.e. Mz,n -> -1.0*Mz,n) and T2
preparation (i.e. Mz,n -> e-TE/T2*Mz,n). The twelve Zero TE signals can be modeled as the
average of Mz,n over the corresponding NSpkSeg spokes per
segment (cf. Figure 1).
Quantitative
PD, T1 and T2 parameter maps were obtained via pixel-wise, least-squares
matching of the measured Zero TE signals (Measurem) to the
dictionary of modeled Zero TE signals (Modelm(T1,T2)):
Minimize: ∑m | Measurem(r)
– PD(T1,T2)*Modelm(T1,T2) |2, with
PD=∑m(Measurem(r)*Modelm)/∑m(Modelm*Modelm).
The
dictionary was calculated for a 384x384 equidistant grid of T1 (0.2s to 7s) and
T2 (0.01s to 1.5s) values.
The magnetization
prepared Zero TE sequence (Figure 1) was implemented on a 3T MR750w scanner (GE
Healthcare, Chicago, IL, USA) and tested in a T1/T2 phantom10
and healthy volunteers. Preparation was performed with adiabatic tanh/tan inversion and numerically
optimized T2 preparation designed to be robust against ±40% B1 variation and
±250Hz B0 off-resonance9. Zero TE imaging parameters
were set to FOV=192mm, 1.5mm isotropic resolution, BW=±31.25kHz, FA=2°,
TR=1.4ms per spoke, 24576 total spokes per image, NSpkSeg=256 spokes
per segment, scan time ~7min. Data
processing, including 3D gridding image reconstruction, least-squares
dictionary matching and visualization was done using Matlab (Mathworks, Natick,
MA).
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