2074

Modelling inhomogeneous magnetization transfer in myelin and intra-/extra-cellular water in normal and injured rat spinal cords
Michelle H Lam1,2, Andrew Yung2, Jie Liu3, Wolfram Tetzlaff3, and Piotr Kozlowski1,2,3,4
1Physics and Astronomy, University of British Columbia, Vancouver, BC, Canada, 2UBC MRI Research Centre, University of British Columbia, Vancouver, BC, Canada, 3International Collaboration on Repair Discoveries, Vancouver, BC, Canada, 4Radiology, University of British Columbia, Vancouver, BC, Canada

Synopsis

An MR imaging technique called inhomogeneous magnetization transfer (ihMT) could potentially be used for quantitative myelin imaging by using T1D filtering to filter out the short dipolar relaxation time (T1D) components. However, to show that ihMT with T1D filtering is myelin-specific, we need to confirm that myelin has the longest T1D in nerve tissue. Here, we combined ihMT and myelin water imaging (MWI) to separate the ihMT signal in myelin water from intra-/extra-cellular water, which we fitted using a four-pool model with dipolar order reservoirs. Our model allowed us to connect myelin with myelin water and measure myelin’s T1D.

Introduction

Inhomogeneous magnetization transfer(ihMT) aims to quantitatively image myelin but is known to exhibit nonzero ihMT signal in substances other than myelin1. However, if myelin has the longest dipolar relaxation time(T1D), we can improve myelin specificity by using T1D filtering to filter out the short T1D components2. To measure T1D of myelin in ex-vivo rat spinal cord, we combined ihMT with CPMG to measure the ihMT signal of myelin water(MW) and intra-/extra-cellular water(IEW), and modelled the signal by integrating the bi-component T1D model3 with the four-pool model4–6.

Methods

The MR data was collected using a solenoid coil on a 7T Bruker Biospec system(Bruker Biospin, Ettlingen, Germany).

MR experiments: We imaged nine formalin-fixed rat spinal cords at 38 ± 1°C, with an ihMT prepulse module combined with a CPMG readout. Three healthy rats were sacrificed, and six rats were injured with a dorsal column transection at the C5 region. The injured rats were sacrificed 3-weeks post-injury(n=3) and 8-weeks post-injury(n=3), and imaged 5mm cranial to the injury site. We performed five scans with the saturation schemes: single negative offset(S­-­­­­), single positive offset(S+­), two alternating-frequency dual offset(S+- , S-+­), and no saturation(S0). Scan parameters were Δf = +9655Hz and -10345Hz, B1,rms = 5.8μT, number of Hann-shaped pulses = 1440, pulse width = 1ms, interpulse spacing = 0.3ms, TR/TE = 2750/6.753ms, 48 echoes, echo spacing = TE, FOV = 1x1cm2 , matrix = 64x128, and slice thickness = 4mm, and 2 averages. We manipulated our T1D filter by varying τswitch at 11 different switch times: 0.8ms, 1.6ms, 2.4ms, 4ms, 4.8ms, 6.4ms, 8ms, 9.6ms, 12ms, 16ms, and 19.2ms(Fig. 1). An extra CPMG scan with identical scan parameters using 6 averages and no presaturation was collected at room temperature. A diffusion tensor imaging(DTI) scan was acquired at 38 ± 1°C using a multi-slice spin-echo sequence. The DTI scan parameters were TR = 1050ms, TE = 21.337ms, matrix = 64x128, FOV = 1x1cm2, slice thickness = 1mm, and 4 averages.

Data analysis: We used a Non-Local Means algorithm7 to denoise our raw images before performing non-negative least squares(NNLS)8, with 32 echoes to improve fitting, on the CPMG scan taken at room temperature. The resulting T2 distribution was used to obtain the T2 modal value and area, under each peak. The no saturation ihMT-CPMG scan was then fitted with a bi-exponential with 48 echoes, using the previous peak area and T2 modes as initial guesses to obtain the new amplitudes and T2 times for MW and IEW. To fit the pre-saturated ihMT-CPMG data(S+, S-, S+-, S-+), we fixed the T2 times in the bi-exponential model with the fitted T2 values from S0, and used the fitted S0 amplitudes as initial guesses to find the new amplitudes. The ihMT ratio(ihMTR = (S+ + S- - S+- – S-+)/(2*S0)) was calculated for MW and IEW by replacing S with the fitted MW and IEW amplitudes, and the conventional ihMTR was calculated from the 1st echo images. These three ihMTR(τswitch) decay curves were fitted using a four-pool model including dipolar order reservoirs(Fig. 2). Note, some model parameters were taken from previous MT measurements9. For each pixel in our ROI, we measured the T1D(myelin), T1D(non-myelin), fraction of the semisolid pool related to myelin(fD), and the cross-relaxation time between MW and IEW(Tcr). Myelin water fraction(MWF) was calculated by taking the ratio of the area under the MW peak(T2<25ms) to the total signal.

Results and Discussion

The ihMTR-MW/-IEW/-1st echo maps at each τswitch were simultaneously fitted using our four-pool model with dipolar order reservoirs to obtain the parameter maps seen in Fig. 3. To visualize how well our model fitted the ihMTR(τswitch) decay curves we fitted the mean ihMTRs from the ventral white matter (WM) and fasciculus gracilis(FG) ROIs, which appears to overestimate ihMTR-IEW at short τswitch times(Fig. 4).

Fig. 5 compares our fitted parameters between the ventral WM and FG across the cord groups, and we see the fitted parameters for the ventral WM agrees for all groups. The most significantly different parameter was T1D(myelin) in the FG of the 3 weeks post-injury cords compared to the controls, which is when myelin debris is still present. Note, we expect the myelin debris to be cleared 8 weeks post-injury. This lower T1D(myelin) in the 3 weeks post-injury cord suggests a lower dipolar coupling strength from the myelin debris versus functional myelin.

Note, our MWF and fractional anistrotropy(FA) maps agreed with previous results of this injury model10, except for the no significant difference between the MWF in the 8 weeks post-injury versus healthy cord. We believe this is due to the partial volume effect since our images were acquired at a lower resolution.

Conclusion

Our study combined ihMT with CPMG to measure the ihMT signal in MW and IEW, and the overall ihMTR, which were fitted with our expanded four pool model to measure T1D. We could not fully model the ihMTR-IEW at short τswitch times, indicating our T1D(non-myelin) may not be accurate, and the model needs improvement. We saw a significant drop in T1D(myelin) in the 3 weeks post-injury cords compared to healthy controls, suggesting T1D(myelin) could potentially distinguish between functional myelin and myelin debris, although more studies are warranted to confirm this.

Acknowledgements

No acknowledgement found.

References

1. Manning, A. P., Chang, K. L., MacKay, A. L. & Michal, C. A. The physical mechanism of “inhomogeneous” magnetization transfer MRI. J. Magn. Reson. 274, 125–136 (2017).

2. Prevost, V. H. et al. Optimization of inhomogeneous magnetization transfer (ihMT) MRI contrast for preclinical studies using dipolar relaxation time (T1D) filtering. NMR Biomed. 30, (2017).

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4. Kalantari, S., Laule, C., Bjarnason, T. A., Vavasour, I. M. & Mackay, A. L. Insight into In Vivo Magnetization Exchange in Human White Matter Regions. Magn. Reson. Med. 66, 1142–1151 (2011). 5. Barta, R. et al. Modeling T1 and T2 relaxation in bovine white matter. J. Magn. Reson. 259, 56–67 (2015).

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7. Coupe, P. et al. An Optimized Blockwise Nonlocal Means Denoising Filter for 3D Magnetic Resonance Images. IEEE Trans. Med. Imaging 27, 425–441 (2008).

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9. Gochberg, D. F. & Gore, J. C. Quantitative Magnetization Transfer Imaging via Selective Inversion Recovery With Short Repetition Times. Magn. Reson. Med. 57, 437–441 (2007).

10. Kozlowski, P. et al. Characterizing White Matter Damage in Rat Spinal Cord with Quantitative MRI and Histology. J. Neurotrauma 25, 653–676 (2008).

Figures

ihMT-CPMG pre-saturation module. ihMT and MWI is combined by using a CPMG readout combined with an ihMT pre-saturation module. The positive offset frequency (+Δf) is 9655Hz and the negative offset frequency (-Δf) is -10345Hz, i.e. an offset of 10kHz but slightly off-centred from the water resonance peak due to chemical shift. The T1D filter is varied by changing the τswitch time, which is related to the number of repeated pulses at the same offset before switching when carrying out the alternating pulses dual pre-saturation, S+- and S-+.

Four pool model with dipolar order reservoirs. The semisolid pools are the myelin and non-myelin reservoirs, and the aqueous pools are the myelin water and intra-/extra-cellular water reservoirs. The Zeeman magnetizations are outlined in blue and the dipolar order reservoirs are outlined in red. To simplify our model we assumed Tcr12 = Tcr34, and T1mw = T1iew and T1m = T1nm based on previously measured values9. Note, fD is the fraction of the macromolecular magnetization belonging to myelin and 1-fD to non-myelin, and Tcr23 is referred to as Tcr in this study.

Example of parameter maps for each cord group. The parameter maps were obtained from fitting the ihMTR(τswitch) decay with our expanded four-pool model (Fig. 2), for each pixel. The units for the colourbar of T1D(myelin) and T1D(non-myelin) are in [ms] and for Tcr in [s]. The ROIs are outlined on the fractional anisotropy(FA) maps for the ventral WM(green) and the fasciculus gracilis(red). Note, the gray matter has been asked out since we did not include it in our analysis.

Example of fitting the ihMTR(τswitch) decay using the average ihMTR-MW (red), ihMTR-IEW(blue), and ihMTR(black) of each region of interest (ROI). The ROIs were the ventral WM and the fasciculus gracilis and the 1st echo fit refers to the overall ihMTR.

Boxplots of the fitted parameters fD, Tcr, T1D(myelin), T1D(non-myelin), and MWF and fractional anisotropy (FA) for each pixel within a cord group (n=3 each group). The boxplots are also separated by the ventral WM in blue and fasciculus gracilis(FG) in orange. On average, the T1D(myelin) was approx. 9ms and the T1D (non-myelin) was approx. 1ms.

Proc. Intl. Soc. Mag. Reson. Med. 30 (2022)
2074
DOI: https://doi.org/10.58530/2022/2074