Anagha Deshmane1, Moritz Zaiss1, Kai Herz1, Benjamin Bender2, Tobias Lindig2, and Klaus Scheffler1
1High-field magnetic resonance center, Max Planck Institute for biological cybernetics, Tübingen, Germany, 2Diagnostic & Interventional Neuroradiology, University Clinic Tuebingen, Tübingen, Germany
Synopsis
Multi-Lorentzian analysis of
chemical exchange saturation transfer (CEST) Z-spectra by non-linear least
squares (NLLS) fitting is common at ultra-high field strengths but particularly
challenging at clinical field strengths due to broad, coalesced peaks and low
SNR. Here we demonstrate that a neural network (NN) trained on just 3 slices of
a single subject can robustly predict CEST Lorentzian pool parameters in other
subjects, in the presence of motion, and in a brain tumor patient, with a 95 %
reduction in computing time, allowing for quick estimation of NLLS initial
conditions or initial online reconstruction of spectrally selective CEST
contrasts.
Purpose
Chemical Exchange Saturation Transfer (CEST) can detect the presence of
proteins, metabolites, and other macromolecular structures. At ultra-high field
strengths, CEST effects produce distinct dips in the Z-spectrum and can be
quantified by non-linear least squares (NLLS) fitting of a multi-Lorentzian model
[1]. At clinical field strengths, broad and coalesced peaks make NLLS sensitive
to noise and measurement errors. Moreover, pixel-wise NLLS fitting is
computationally expensive and unsuitable for online reconstruction of CEST
contrast images. Here, we investigate
the use of neural networks for fast quantification of CEST pool parameters from
noisy Z-spectra acquired at 3T.Methods
Spectrally selective CEST contrast was acquired at
B0=3T with 3D-GRE snapshot CEST (1.7x1.7x3 mm resolution, Tacq=6 min 35sec) with
4s of pulsed low-power presaturation (Gauss pulses, B1=0.6µT, tp=20.48ms)
applied at 54 variably-spaced offsets between +/–100ppm [2,3]. Data were
acquired in 3 healthy subjects (Siemens Prisma) and in 1 brain tumor patient
(Siemens Verio PET/MR). Brain matter Z-spectra were manually segmented and de-noised
using principle component analysis (first 7 components retained) [2,3].
De-noised Z-spectra were fitted pixel-wise by NLLS with a 4-pool Lorentzian
model [1] of direct water saturation, semisolid magnetization transfer (MT),
amide (APT), and NOE pools.
Noisy Z-spectra from 3 slices in different brain
regions of one subject were used as input for a 3-layer deep neural network
(NN, 400 neurons in total) with the NLLS fitted Lorentzian pool parameters from
de-noised Z-spectra as target values. The dataset was divided randomly into
training (70%), validation (15%), and test sets (15%) used to avoid
overfitting. Trained with about 3000 iterations, the NN was applied to noisy
Z-spectra from other slices in the same volunteer, two additional healthy
subjects, and one brain tumor patient.Results
Lorentzian NLLS fitting of de-noised, 3D Z-spectra
takes approximately 6.5 minutes for 14 slices using parallel computation. Training
the NN on 3 slices from a single subject took 5.8 minutes, but applying the NN
to predict 4-pool Lorentzian model parameters in 14 slices takes only 2 seconds.
Figure 1 compares quantitative CEST maps in a
representative test slice from NLLS fitting and the NN prediction in the
training subject and a test subject. The predicted contrasts have the same
amplitude, spatial distribution, and smoothness as the de-noised NLLS fitting
results. Similar results are seen in untrained data from the test subject.
Figure 2 shows results from a subject with motion
during the scan. NLLS fitting results exhibit disrupted contrast and elevated
signal. However, the NN prediction is more robust to motion errors, with the
pool sizes similar to Figure 1 and the expected contrasts in healthy tissues.
Figure 3 shows predicted CEST contrast in a brain
tumor patient. NLLS fitting results in better contrast between normal gray and
white matter, tumor core (white arrow) and the surrounding edema. However, the NN
prediction highlights more subtle details, such as increased APT and NOE
signals coinciding with slightly increased FET uptake (pink arrow).Discussion & Conclusion
In low SNR data typically acquired at clinical field strengths,
stable results from NLLS fitting of multi-Lorentzian models require careful
consideration of boundary and initial conditions. This proof-of-concept study
demonstrates that a NN trained on one subject can be successfully applied to estimate
CEST pool parameters in another subject, and also yields reasonable results in
pathology, with a 95% reduction in computing time. This approach can be used to
estimate initial conditions in a NNLS fit, or for fast online calculation of
quantitative CEST images.
While surprisingly
consistent results were obtained in healthy subjects with training on just a
few slices from one volunteer, there are many possibilities for further
research. The NN can still be optimized, and its properties and learned
features further investigated. The NN
prediction yields different contrast in the brain tumor data, which has lower
SNR than the training dataset. Predicted CEST contrast may improve if more healthy
subjects and patients are included in training.
Acknowledgements
Max
Planck Society; German Research Foundation (DFG, grant ZA 814/2-1, support to
MZ); European Union Horizon 2020 research and innovation programme (Grant
Agreement No. 667510, support to MZ, AD).References
[1] Windschuh et al. NMR in Biomed (2015)
28:529-537.
[2] Deshmane et al. Proc. ISMRM-ESMRMB 2018, p.
2249.
[3] Deshmane et al. MRM in press.
http://doi.org/10.1002/mrm.27569.