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Chasing the Dot: Diffusion-Weighted MR Spectroscopy with Spherical Tensor Encoding
André Döring1, Frank Rösler2, Kadir Şimşek1,3, Karl Landheer4, Roland Kreis5,6, Wolfgang Bogner7, and Derek K Jones1
1Cardiff University Brain Research Imaging Centre (CUBRIC), School of Psychology, Cardiff University, Cardiff, United Kingdom, 2Department of Mathematics, University of Bern, Bern, Switzerland, 3School of Computer Science and Informatics, Cardiff University, Cardiff, United Kingdom, 4Regeneron Pharmaceuticals, Inc. Tarrytown, New York, NY, United States, 5Magnetic Resonance Methodology, Institute of Diagnostic and Interventional Neuroradiology, University Bern, Bern, Switzerland, 6Translational Imaging Center, sitem-insel, Bern, Switzerland, 7High-field MR Centre, Department of Biomedical Imaging and Image-guided Therapy, Medical University of Vienna, Vienna, Austria

Synopsis

Keywords: Gray Matter, Spectroscopy, Spherical Tensor Encoding, Diffusion, Metabolites

Diffusion-weighted MR spectroscopy (DW-MRS) can measure diffusion properties of cell type-specific and intracellular metabolites. However, for advanced microstructure modeling, diffusion of brain metabolites has to be measured at specific length scales and with specific structural sensitivity. To this end, new diffusion encoding strategies have been developed, but not all have found their ways into DW-MRS. In this work, we fill this gap for spherical-tensor-encoding (STE), providing the first evidence that useful diffusion metrices of human brain metabolites can be quantified by combining DW-MRS, STE, and ultra-strong gradients.

Introduction

Diffusion-weighted MR spectroscopy (DW-MRS) can measure the diffusion properties of cell-type specific intracellular metabolites and be sensitized to specific microstructural features. The latter is achieved via choice of sequence design (e.g., spin-echo at short to intermediate diffusion-times; stimulated-echo at long diffusion-times) or diffusion-encoding strategy[1],[2]. Many diffusion-encoding strategies have been translated from Diffusion-Weighted MR Imaging (DWI) into DW-MRS (e.g., pulsed or oscillating gradients, double-diffusion encoding)[3]-[5]. However, spherical-tensor-encoding (STE) has not. This is particularly useful for inferring on cellular microstructure in isotropic compartments[1]. By using a spherical and isotropic sampling of the diffusion-tensor simultaneously along all gradient axes, relatively high b-values can be achieved even at short diffusion-times. For instance, at an averaged diffusion-time of 6.9ms (Fig. 1) and a free metabolite diffusivity of 0.3∙10-3mm2/s the characteristic length scale is only 2μm. This allows diffusion to be quantified in highly restricted compartments like small dendrites, organelles, mitochondria, or fat droplets and provide elevated sensitivity to cytoplasmic viscosity (e.g., accumulation of macromolecular neurofibrillary tangles in Alzheimer’s disease). Here we provide the first demonstration of combining STE with DW-MRS at ultra-short diffusion-times in human brain.

Methods

Data acquisition: Measurements were conducted on a 3T Connectom-A MR scanner (Siemens Healthcare) with 300mT/m per axis using a 32-channel receive headcoil. MPRAGE images (isotropic 1mm3) were used for voxel positioning and tissue segmentation(Fig. 2). A semiLASER (TE/TRtrig: 114/2800ms) sequence was extended with STE[4](Fig. 1). STE waveforms were created with the NOW-toolbox (symmetric; total duration: 91.3ms [including 8.3ms RF-spacing], 1st-order motion-compensated, Maxwell-compensated: 100mT2/m2∙ms) and applied at b=200, 1000 2000, 4000, 6000, 8000s/mm2 (Gmax,x/ Gmax,y/ Gmax,z: 143.6/ 168.9/ 157.3mT/m)[6],[7]. The diffusion-times of the STE waveform along each axis were derived from the frequency spectrum to be 6.1/7.0/7.5ms (average: 6.9ms, Fig. 1)[8]. Cardiac triggering was applied at every 3rd RR-cycle. FLAIR was used for CSF suppression and metabolite-cycling (MC) to measure water and metabolite diffusion simultaneously[9].
Subjects: Six healthy subjects (31.6±5.7yrs, 3 female) were recruited in agreement with the local ethical guidelines. The VOI was placed in the Posterior Cingulate Cortex (PCC,12.0±1.7mL) in three subjects and in the Cerebellum (CBM, 14.3±0.6mL) in the others(Fig. 2).
Data processing: Beyond coil-channel combination, phase-offset, frequency-drift and eddy-current correction, the inherent water reference was used for motion-compensation to restore signal amplitudes to a reference level presumably unaffected by motion[9].
Analysis, Fitting and Modeling: A neural network with U-NET like architecture was trained on a set of synthetic data for denoising[10]. Metabolic basis-sets for Asp, tCr, GABA, Glc, Gln, Glu, Gly, tCho, GSH, mI, Lac, NAA, NAAG, PE, sI and Tau were simulated with MARSS[11] considering RF-pulse profiles and sequence chronograms. Basis-sets were imported into FiTAID[12] for sequential linear-combination modeling and resulting metabolite amplitudes used for ADC fitting in MatLab.

Results and Discussion

Spectral quality: The spectral quality presented in Fig. 1 allows all major brain metabolites to be identified readily. Moreover, expected stronger eddy-current artifacts could be avoided by using the inherent water reference for direct phase-distortion correction. The spectra at the highest b-values of 8000s/mm2 were excluded from the analysis due to strong variations in the water reference most likely a result of increased table variance.
Metabolite diffusion: Metabolite ADCs, presented in Fig. 3, show an overall strong agreement with a monoexponential Gaussian diffusion model, even for low concentration (mI) or heavily J-coupled (Glu) ones. A high inter-subject agreement between ADCs is found in CBM and more variance in PCC (particularly subject#3pcc reproducibly shows slower metabolite diffusion). The diffusion of NAAG is only trustworthy in CBM with a higher WM concentration(Fig. 2). Diffusion is by average slower in CBM than PCC(Fig. 4).
Water diffusion: While the kurtosis model has high uncertainties in PCC, a good agreement is found in CBM(Fig. 3). The trend towards faster metabolite diffusion in PCC is reproduced by water(Fig. 4). This is supported by a higher kurtosis in CBM indicating more restriction (to note: water diffusion at these short diffusion-times should be unaffected by water exchange).

Conclusion

The presented metabolite ADCs agree with Monte-Carlo simulations of STE in realistic cell samples we reported previously[13]. The inter-subjects consistency of metabolite diffusion in CBM suggests a higher biophysical heterogeneity, where alterations might serve as biomarker for brain pathology. Recent results applying STE in DWI have found a highly restricted “dot-compartment” in CBM where diffusion is considerably slower than in other brain regions[14]. Even though our results show by average slower metabolite diffusion as well, no particular metabolite stick out and the observed difference is most likely related to the higher WM content. This suggests either that the dot-compartment originates from extracellular contribution without metabolites, is restricted to small organelles (e.g., mitochondria) with short metabolite T2 and, in turn, inaccessible at TE of 114ms, or that even higher b-values than used here are required to reach the non-Gaussian diffusion regime.
This work demonstrated for the first time that DW-MRS with STE and ultra-strong gradients can measure metabolite diffusion at ultra-short diffusion-times and relatively high b-values.

Acknowledgements

AD is supported by a Swiss National Science Foundation Fellowship (SNSF #202962). KS is supported by a UKRI Future Leaders Fellowship (MR/T020296/2). DKJ is supported by a Wellcome Trust Strategic Award (104943/Z/14/Z).

References

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[6] Szczepankiewicz F, Westin CF, Nilsson M. Gradient waveform design for tensor-valued encoding in diffusion MRI. J. Neurosci. Methods 2021, 348: 109007.

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[8] Parsons EC, Does MD, Gore JC. Temporal diffusion spectroscopy: Theory and implementation in restricted systems using oscillating gradients. Magn Reson Med 2006, 55:75-84.

[9] Döring A, Adalid V, Boesch C, Kreis R. Diffusion-weighted magnetic resonance spectroscopy boosted by simultaneously acquired water reference signals. Magn Reson Med 2018, 80:2326-38.

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Figures

Figure 1: Top: Sequence diagram for semiLASER with metabolite-cycling (MC) and FLAIR. Bottom: Spherical-tensor-encoding (STE) scheme applied for diffusion-encoding with axes specific gradient modulation spectra, effective frequencies (νeff) and diffusion-times (TD).

Figure 2: Top: Voxel position in posterior cingulate cortex (PCC) and cerebellum (CBM), volumes, and segmentation into gray matter (GM), white matter (WM) and cerebrospinal fluid (CSF). Bottom: Diffusion-Weighted MR Spectra acquired in PCC and CBM.

Figure 3: Top: Signal attenuation of six brain metabolites in semilogarithmic plot with ADC fitting results for the six subjects. Bottom: Signal attenuation of simultaneously acquired water in semilogarithmic plot with kurtosis fitting results: (Note: b-value of 8k s/mm² was excluded for metabolites due to low SNR and strong motion artifacts).

Figure 4: Left: ADCs of brain metabolites in the posterior cingulate cortex (PCC) and cerebellum (CBM). Right: ADC and Kurtosis (K) of simultaneously acquired water in PCC and CBM.

Proc. Intl. Soc. Mag. Reson. Med. 31 (2023)
3546
DOI: https://doi.org/10.58530/2023/3546