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Signal compartments modelled from 7T multi-echo GE data showed variation across the corpus callosum
Kiran Thapaliya1, Steffen Bollmann1, Viktor Vegh1, and Markus Barth1

1University of Queensland, St. Lucia, Australia

Synopsis

Quantitative assessment of myelin water fraction using a multi-compartment model can be useful to improve our understanding of white matter diseases. Our work aims to explore tissue microstructure information contained in voxel signals by analysing voxel compartment volume fraction, frequency shift and $$$T_2^*$$$ from data acquired at 7T. We performed our analysis across from the rostrum to the splenium of corpus callosum. Parameterisation of tissue characteristics can potentially delineate structural and chemical changes in tissue with biologically meaningful information. This in turn provides a framework for new imaging biomarker development in neurodegenerative diseases and disorders, such as multiple sclerosis

Introduction

Frequency shifts mapped as a function of echo time from ultra-high field GRE-MRI data show distinct variations which have been suggested to be influenced by white matter microstructure.1–3 Additionally, it was shown that magnetic susceptibility derived from frequency shift maps can also vary as a function of echo time.4 The variation in these values can be explained by compartmentalising the voxel signal into distinct signal compartments.5–8 In white matter, the compartments have been associated with axonal, myelin and extracellular spaces. Each compartment has a volume fraction, frequency shift and $$$T_2^*$$$ relaxation time and it is assumed that these three compartments contribute entirely to the measured voxel signal. In this study, our aim was to investigate how the three compartment model parameters change across the sagittal midline of the corpus callosum (CC), which is known to have variation in myelin levels and axon radii.9,10

Methods

The study was approved by the local human ethics committee and written informed consent was obtained from five healthy volunteers (aged 30-41). The data were acquired using a 3D GRE-MRI sequence on a 7T whole-body MRI research scanner (Siemens Healthcare, Erlangen, Germany) with a 32 channel head coil (Nova Medical, Wilmington, USA) using the following parameters: TE1=2.04ms with echo spacing of 1.53ms and 30 echoes, TR=51ms, flip-angle=15o, voxel-size=1mm$$$\times$$$1mm$$$\times$$$1mm and matrix size=210$$$\times$$$168$$$\times$$$144. A brain mask for each participant was created using MIPAV (Medical Imaging Processing and Visualisation, https://mipav.cit.nih.gov).11 iHARPERELLA (http://people.duke.edu/~cl160,STI Suite12) was used to compute tissue phase at each echo point from which 30 frequency shift maps were generated for each participant. The CC was manually segmented into eight regions using a standardised template,13 regions shown in Fig 1. Signal fitting was performed using the following three compartment model:14 s\left(t\right)=\left(A_{my}e^{-\left(\frac{1}{T_2^*my}+i2\pi\triangle f_{my}\right)t}+A_{ax} e^{-\left(\frac{1}{T_2^*ax}+i2\pi\triangle f_{ax}\right)t}+A_{ex}e^{-\left(\frac{1}{T_2^*ex}+i2\pi\triangle f_{ex}\right)t}+C\right)e^{-i2\pi\triangle f_{bg}t-i\Phi_{0}} where Amy, Aax and Aex are volume fractions for the myelin, axonal, and extracellular compartments, respectively, and corresponding T2,my*, T2,ax* and T2,ex* and $$$\triangle$$$fmy, $$$\triangle$$$fax and $$$\triangle$$$fex are the compartment relaxation times and frequency shifts. Fitting was performed in MATLAB (MathWorks, Natick, MA) using lsqnonlin. We used a term to adjust background offset,14 which contains background frequency shift ($$$\triangle$$$fbg) and phase offset($$$\Phi_{0}$$$). We added a constant term (C) in the model to account for the noise floor in the measured data. We considered the case when T2* values for each region were allowed to vary (11 parameter model–M11) or were fixed (8 parameter model–M8). Fixed T2* values for the M8 were obtained by calculating the median of the voxel-by-voxel computed T2* values for each CC region. We performed a one-way ANOVA to test whether compartment parameters changed across the CC.

Results

Fig 2-3 show how the compartment parameters vary for the five participants across eight CC regions studied using M11 and M8, that show a similar trend except for extracellular T2*. Low variability in volume fraction shown by M11 suggests that it is the more appropriate model, and hence, we used the results from M11 for further analysis. All the compartment parameter values computed using M11 are summarised in Table 1. We found that volume fraction, T2* and frequency shift of the myelin and extracellular compartments did not change significantly whereas axonal volume fraction, T2*, and frequency shift did vary significantly across CC regions, see Fig 2-3. A comparison between our findings and those previously reported for the splenium of the CC are provided in Table 2. A significant difference in axonal volume fraction (p=0.047), T2* (p=0.014) and frequency shift (p=0.009) was present across CC regions.

Discussion

Axon radius, myelination and packing density have been shown to change across the CC,9,10 but white matter signal compartments derived from GRE-MRI data have not reported a dependence on CC structure.7,8 We found volume fraction and T2* of myelin and extracellular compartments to not change significantly across the CC, which may be due to a small sample size (i.e. N=5). We did however find a significant change in axonal compartment parameters.

Conclusion

Our findings suggest that signal compartments derived from 7T multiple-echo GRE-MRI data are sensitive to white matter microstructure. Signal compartmentalisation may play a key role in neuroimaging studies in which white matter is implicated.

Acknowledgements

MB acknowledges funding from Australian Research Council Future Fellowship grant FT140100865. SB acknowledges funding from UQ Postdoctoral Research Fellowship grant and an NVIDIA Hardware Seed Grant. The authors acknowledge the facilities of the National Imaging Facility (NIF) at the Centre for Advanced Imaging, University of Queensland. VV would also like to thank the Australian Research Council for discovery grant funding (DP140103593).

References

1. Wharton, S. & Bowtell, R. Fiber orientation-dependent white matter contrast in gradient echo MRI. Proc. Natl. Acad. Sci. U. S. A. 2012; 109:18559–18564.

2. Lee, J. et al. T2*-based fiber orientation mapping. NeuroImage, 2011; 57: 225–234.

3. Sati, P. et al. In vivo quantification of T2? anisotropy in white matter fibers in marmoset monkeys. NeuroImage, 2012; 59: 979–985.

4. Sood, S. et al. Echo time-dependent quantitative susceptibility mapping contains information on tissue properties. Magn. Reson.2016;26281

5. Sati, P. et al. Micro-compartment specific T2? relaxation in the brain. NeuroImage, 2013; 77:268–278.

6. van Gelderen, P. et al. Non-exponential T2* decay in White Matter. Magn. Reson. Med. 2012; 67; 110–117.

7. Li, X. et al. Detection of demyelination in multiple sclerosis by analysis of relaxation at 7 T. NeuroImage Clin. 2015; 7: 709–714.

8. Hwang, D., Kim, D.-H. & Du, Y. P. In vivo multi-slice mapping of myelin water content using T2* decay. NeuroImage, 2010; 52:198–204.

9. Aboitiz, F., Scheibel, A. B., Fisher, R. S. & Zaidel, E. Fiber composition of the human corpus callosum. Brain Res. 1992, 598:143–153.

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11. McAuliffe, M. J. et al. Medical Image Processing, Analysis and Visualization in clinical research. Proc. 14th IEEE Symposium on 2001; 381–386.

12. Li, W., Avram, A. V., Wu, B., Xiao, X. & Liu, C. Integrated Laplacian-based phase unwrapping and background phase removal for quantitative susceptibility mapping. NMR Biomed. 2014; 27:219–227.

13. Witelson, S. F. Hand and Sex Differences in the Isthmus and Genu of the Human Corpus Callosum. Brain , 1989; 112: 799–835.

14. Nam, Y., Lee, J., Hwang, D. & Kim, D.-H. Improved estimation of myelin water fraction using complex model fitting. NeuroImage, 2015; 116:214–221.

Figures

Fig. 1 Illustration of the location of the eight regions of interest across corpus callosum which were used to study tissue characteristics via signal compartmentalisation

Fig. 2 ROI-based fitting results obtained for the eight regions of the corpus callosum using the three compartment model – 11 parameter model (M11) shown by thick line and 8 parameter model (M8) represented by dashed line – across five subjects (error bars reflect SD over subjects). Fixed T2* values for 8 parameters model were calculated by taking the median of the voxel-by-voxel values for each corpus callosum region and MVF=myelin volume fraction, AVF= axonal volume fraction, EVF=extracellular volume fraction, MT2*=myelin T2*, AT2*= axonal T2*, ET2*=extracellular T2*.

Fig. 3 ROI-based fitting results obtained for the eight regions of the corpus callosum using the three compartment model (11 parameter model (M11) shown by thick line and M8 represented by dashed line) across five subjects (error bars reflect SD over subjects). MFS (=myelin frequency shift) and AFS (=axonal frequency shift) values are plotted taking extracellular frequency shift as the reference frequency.

Table 1. ROI fitting of the three compartment model using eleven parameters (M11) to fit eight subregions of the corpus callosum. Amy, Aax and Aex are the amplitudes, myelin T2* (MT2*), axonal T2* (AT2*) and extracellular (ET2*) are the relaxation time (ms) and ∆fn the frequency shift (Hz) of three compartments. Mean and standard deviation (SD) values over 5 subjects are shown. The goodness of fit is stated using the adjusted R2 values for each region.

Table 2. Comparison of literature values and eleven (M11) parameter (M8) model results for the splenium region only. Amy, Aax and Aex are the amplitudes, myelin T2* (MT2*), axonal T2* (AT2*) and extracellular (ET2*) are the relaxation time (ms), ($$$\triangle$$$f1 -$$$\triangle$$$f3) and ($$$\triangle$$$f2 -$$$\triangle$$$f3) are the frequency shifts (Hz) calculated with reference to extracellular frequency shift. ($$$\triangle$$$f1 -$$$\triangle$$$f2) and ($$$\triangle$$$f3 -$$$\triangle$$$f2) are the frequency shift (Hz) calculated with respect to axonal frequency shift. SCC is the splenium of corpus callosum, ** values in the below table are calculated taking axonal frequency shift as a reference.

Proc. Intl. Soc. Mag. Reson. Med. 25 (2017)
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