Charles G Cantrell1, Parmede Vakil1,2, Donald R Cantrell3, Yong Jeong1, Sameer A Ansari3, and Timothy J Carroll1,3
1Biomedical Engineering, Northwestern, Chicago, IL, United States, 2College of Medicine, University of Illinois, Chicago, IL, United States, 3Radiology, Northwestern, Chicago, IL, United States
Synopsis
We have found that performing iterative PLCG dramatically (on average 55% better) improves reconstruction quality of an MR-PARSE acquisition. Moreover, iterative PLCG has shown to be capable of
reconstruction in regions with large susceptibility artifact. Consistent frequency measurements allow us to
remove static offsets caused by air interfaces near the earholes and sinuses
leaving dynamic frequency offsets which transpose linearly to OEF. Furthermore, our approach to prevent local
minima solutions, through the use of an iterative PLCG, represents a new
approach that may improve upon many other complex reconstruction methods.Introduction
Parameter Assessment by Retrieval from Signal
Encoding (PARSE) is a multi-parameter imaging technique [1]. PARSE simultaneously extracts relaxation rate
(R
2*), local frequency offsets (δω), and proton density (M
0) maps from a single FID by utilizing a longer acquisition window to exacerbate
R
2* decay and ω shifts in the signal received by the scanner. The speed of PARSE (65ms per image) and its
ability to measure phase shifts make it ideal for measuring temporal BOLD
fluctuations (used in reactive Oxygen Extraction Fraction (OEF) calculations). Here we develop an improved PARSE
reconstruction algorithm that prevents local minima solutions and provides higher quality images.
Sequence and Recon
For measurement, we use a rosette trajectory--characterized
by fast oscillating frequency (ω
1 = 3874.8
Hz) and a slow rotating frequency (ω
2 = 1610.8 Hz). PARSE
provides us with the ability to measure high Signal-to-Noise (SNR) phase
accrual because of the frequent re-sampling of the low frequency/center of
k-space. An iterative Progressive Length
Conjugate Gradient (PLCG) algorithm is used to solve a discretized form of
Equation 1. $$ S(t) = \int\int{M_0(x,y)e^{-(R_2^*(x,y)-i\omega(x,y))t}e^{-2\pi i(k_xx+k_yy)}dxdy} $$ Between every iteration of PLCG the
result is perturbed and the solution is again allowed to relax using conjugate
gradient. At each iteration the least
squares estimate is obtained by minimizing the residual between the observed
signal and model estimate. The estimate
is determined to be adequate when the same minimal square error is reached on 3
separate PLCG iterations. This occurred
within (10.4 ± 4.3) iterations.
Methods
Utilizing the sequence described above, ten
hemodynamically compromised subjects (M/F 5/5, <age> = 58.2 ± 9.9 years)
and 3 healthy volunteers (M/F, 2/1, <age> = 31.3 ± 2.5) were tested. For each subject we acquired a single slice 2D
image (5.0 mm thick, 220 mm x 220 mm FOV, 96x96 matrix, resolution = 2.3 x 2.3
x 5.0 mm3). In one healthy
volunteer we acquired five slices separated by 15 mm from the ventricles up. FID data were exported and reconstructed
offline. The iterative PLCG
reconstruction sum squared signal error was compared against that of the more
standard PLCG algorithm. To examine the
reconstruction effect on OEF reactivity, estimated local frequency offsets were
transposed to OEF using a linear relationship (assuming constant Hematocrit of
18 p.p.m.) [2].
Results
Student’s t-test analysis shows a statistically
significant reduction of sum squared error in the iterative PLCG reconstruction
vs the more standard PLCG (p< 0.001, Figure 1a) with an average error
reduction of 55%. The more accurate
fitting results in better anatomical images (shown in Figure 1b). Iterative
PLCG yielded improved measured mean OEF in non-affected normal brain parenchyma
to 36.87 ± 6.6% and showed affected regions in symptomatic patients reaching
84.05 ± 4.54%--both of which correlate well with literature. Reconstruction has shown to be quite robust
even in regions with large susceptibility artifact (Figure 2).
Discussion/Conclusion
We have found that performing
iterative PLCG dramatically improves reconstruction quality of an MR-PARSE
acquisition. Moreover, iterative PLCG
has shown to be capable of reconstruction in regions with large susceptibility
artifact (near earholes and sinus, Figure 2).
For the purpose of OEF measurements, our primary goal, stable and
accurate measurements of frequency shifts are vital. Consistent frequency measurements allow us to
remove static offsets caused by air interfaces near the earholes and sinuses
leaving dynamic frequency offsets which transpose linearly to OEF. Furthermore, our approach to prevent local
minima solutions, through the use of an iterative PLCG, represents a new
approach that may improve upon other complex reconstruction methods.
Acknowledgements
AHA 14PRE20380810,
NIH/NHLBI R01 HL088437 References
[1] Twieg, MRM 2002, [2]
Menon, JCBFM 2014