Ningzhi Li1, Shizhe Steve Li1, and Jun Shen1
1National Institute of Mental Health, Bethesda, MD, United States
Synopsis
The present study proposes and evaluates a novel
under-sampled decoupling strategy in which no decoupling was applied during
randomly selected segments of data acquisition. By taking advantage of the
sparse spectral pattern of carboxylic/amide region of in vivo 13C
spectra of brain, an iterative algorithm was developed to reconstruct spectra
from under-sampled data. Simulations and in
vivo experiments show that this novel decoupling and data processing
strategy can effectively reduce decoupling power deposition by >30%. Purpose
In
in vivo 13C
experiments, the specific absorption rate (SAR) accumulates linearly with the
duration of decoupling and increases quadratically with field strength. The
purpose of the present study is to demonstrate a novel decoupling and data
processing strategy to significantly reduce decoupling power deposition. This
new strategy uses a windowed decoupling scheme in the time domain in which no
decoupling was applied during randomly selected segments of data sampling. The spectra
are iteratively reconstructed only using data points when decoupling is present.
Because the decoupling is not present over a significant portion of data
acquisition, this novel approach effectively reduces the required decoupling
power and thus the SAR.
Methods
An iterative
algorithm was developed to reconstruct spectra from under-sampled datasets. This
algorithm takes advantage of the sparse spectral pattern of carboxylic/amide
region of
13C spectra. It iteratively reconstructs the
13C spectra from
under-sampled data until the calculated data are consistent with the under-sampled
experimental data. Reconstruction of the fully sampled data was also performed to validate
the proposed approach. Signals including GABA1, Glu5, NAA1, NAA4, Gln5, Asp4,
Glu1, Asp1, Gln1 and NAA5 were simulated using a global linewidth and
individual intensities. Two undersampling strategies were compared: a total
random sampling pattern (A) and a gradually decreasing sampling pattern (B).
Both strategies begin with a fully sampled core. Spectra were iteratively
reconstructed using the under-sampled datasets. Different core sizes and
under-sampling rates were evaluated by the residuals and signal intensity
errors between the reconstructed spectra from under- and fully sampled datasets.
Four sets of
in vivo 13C data acquired at 7 Tesla were
used.
1,2 Since the spectral baseline in the carboxylic/amide region
remains fairly constant, a baseline model was determined experimentally by averaging
all
in vivo baselines using an in-house developed fitting software.
3 Results
Figures
1-3 displays numerical simulation examples. Figure 1 shows the effects of the two
different under-sampling strategies. Spectra from fully sampled datasets are
also displayed for comparison. Strategy A resulted in very small fitting
residuals. In comparison, strategy B shows relatively large residuals for the
same under-sampling rate. Only results from under-sampling strategy A are shown
below. Figure 2 compares the spectra with different size of the fully sampled
core. The mean signal intensity errors (between the under- and fully sampled
spectra) from 10 simulated chemicals are 1.16%, 0.49% and 1.29% for 10%, 20% and
30% of the fully sampled core, respectively. The size of fully sampled core has
relatively small influence on the final results as the mean signal intensity
errors did not change sizably when the core size varies. Figure 3 shows two
examples of the reconstructed spectra with different under-sampling rates. The
first 20% of the FID was fully sampled. The reconstructed spectrum associated
with lower under-sampling rate has smaller residuals and signal intensity
errors compared to the reconstructed spectrum with larger under-sampling rate. Figure
4 shows the four
in vivo
reconstructed spectra with under-sampling rate of 30%. Because the
in vivo data decayed rapidly at the
beginning, a 5% fully sampled core was used. With a 30% under-sampling rate, excellent
reconstructed spectra were obtained from all four
in vivo datasets. Figure 4E shows the changes of the mean signal
intensity error of Glu5 averaged over 4 subjects when the under-sampling rate
varies.
Discussion
This study aims to propose
and evaluate a novel approach to acquire
13C data with decreased decoupling
power deposition and reconstruct spectra using under-sampled data. Since the decoupling
power has been turned off for a significant period of time through the data
sampling, the accumulated SAR could be significantly reduced, and thus benefits
the
in vivo 13C
experiments at high field and for frontal lobe studies. Because the carboxylic/amide
region of 13C spectra has a relatively
sparse distribution, random sampling allows cancellation of reconstruction
errors in a manner bearing certain similarity to compressed sensing.
Conclusion
A novel approach for decreasing
decoupling power and thus SAR for the
in vivo 13C experiments is developed. A total random sampling pattern
works much better than a gradually decreased sampling pattern. The size of the
fully sample core has relatively small influence on the final results. Both
simulations and
in vivo experiments
show that excellent spectra reconstruction could be achieved with a ~30% under-sampling
rate. Further optimization of the under-sampling pattern may further reduce
decoupling power deposition.
Acknowledgements
This work was supported by the
Intramural Research Program of the National Institute of Mental Health,
National Institutes of Health.References
1.
Li S, et al., J Magn Reson 2012;218:16-21. 2. Li
S, et al., Magn Reson Med 2015 [Epub ahead of print]. 3. Li N, et al., NMR Biomed 2015 [Epub ahead of print].