Intracellular volume fraction estimation in vivo in single and crossing fibre regions
Sjoerd B Vos1,2, Andrew Melbourne1, John S Duncan2,3, and Sebastien Ourselin1

1Translational Imaging Group, University College London, London, United Kingdom, 2MRI Unit, Epilepsy Society, Chalfont St Peter, United Kingdom, 3Department of Clinical and Experimental Epilepsy, UCL Institute of Neurology, London, United Kingdom

Synopsis

Intracellular volume fraction (ICVF) is a valuable biomarker of neurological disease. As one of two factors in g-ratio estimates it could potentially reveal axonal function from structural MRI measurements. Reliable ICVF estimation is critical for both purposes. With various diffusion models in existence for ICVF estimation, we compared the obtained ICVF values and their reproducibility in voxels with 1, 2, and 3 fibre populations between three diffusion modelling approaches. Absolute ICVF values vary significantly between models as well as between voxels with different fibre complexity.

Introduction

Intracellular volume fraction (ICVF) estimates from diffusion MRI (dMRI) based biophysical models can be a valuable biomarker for pathologies which cause neuronal damage or degradation [1]. As one of the main factors in the recently proposed in vivo g-ratio estimation [2], which could conceptually be linked to axonal conduction velocity and thus axonal function, the extracted intracellular volume fraction estimates must be accurate and reproducible. With recent biophysical diffusion models being devised for specific purposes, we examine the in vivo agreement of publicly available methods (CHARMED, DKI, and NODDI [3-6]) in single and multi-fibre populations throughout the brain.

Methods

Test-retest multi-shell dMRI data was acquired on a 3 T GE MR750 with 11 b=0-images and shells at b=300, 700, and 2500 s/mm2 with 8, 32, and 64 DWIs per shell, respectively. FOV of 24×24 cm was acquired with a 96×96 matrix and 50 slices of 2.5 mm thick. SENSE=2, TE/TR=71.7/5200 ms, and scan time of 9m58s. A 3D-T1-weighted IR-FSPGR was also acquired (1 mm isotropic resolution, TE/TR/TI: 3.1/7.4/400 ms). To determine regions of single and multiple fibre populations, constrained spherical deconvolution (CSD) was performed in ExploreDTI [7] with LMAX=8 and to get the number of fibre populations (as in [8]). CHARMED was fit using default parameters which include two restricted (axonal) compartments (16 fitted parameters), initialising ICVF to 0.3 (as in [3]). Kurtosis tensors were fit in ExploreDTI and the axonal water fraction (AWF [5]) was extracted (21 fitted parameters). NODDI was fit on all data with default parameters, allowing a single dispersing fibre population (5 fitted parameters). ICVF extracted from NODDI was corrected for the isotropic volume fraction (similar to [9]). ICVF were examined separately for regions of one, two, and three fibre populations for DKI, NODDI, and CHARMED. Coefficients of variation (CV) were defined as the absolute difference between the test-retest scans divided by the mean of test-retest. Geodesic Information Flows [10] was used to obtain a white matter (WM) segmentation from the 3D-T1 and all ICVF values were investigated only within the WM.

Results

Example ICVF maps are shown in Fig. 1. A clear difference can be observed between different methods, with NODDI notably giving a larger ICVF estimate than the other three methods. Regional variations are also clear, with particularly the splenium of the corpus callosum showing, on average, a higher ICVF than the rest of the brain. Quantification of ICVF between single and crossing fibre voxel shows very different patterns between methods (Fig. 2 and Table 1). CHARMED and DKI show distinctly different histogram modes and medians for ICVF between one, two, and three-fibre voxels whereas NODDI shows no variation with fibre complexity. Fig. 3 and Table 2 show the repeatability of ICVF estimation measured by the coefficient of variation (CV). Here, CHARMED stand out in having a markedly higher CV than NODDI and DKI.

Discussion

There is pronounced variation in intracellular volume fraction estimates between available methods. Most notably, NODDI estimates ICVF values to be 30-40% larger than CHARMED and DKI-derived values. Determining which of these methods reflects the in vivo ICVF most accurately is difficult, as no ground truth exists. Simulations can provide some indications, e.g., Campbell et al [11] found that NODDI ICVF estimates are comparable between single and crossing fibre voxels but such simulations are limited to rather straightforward crossings [12] that do not necessarily reflect the entirety of complex fibre configurations. In the absence of a ground truth, reproducibility of the ICVF estimation is critical, and NODDI and DKI seem to provide superior reproducibility over CHARMED. Interestingly, both CHARMED and DKI demonstrate a difference in ICVF values between 1, 2, and 3-fibre voxels whereas NODDI does not. Given that NODDI is in essence a single-fibre model whereas CHARMED and DKI are not, this difference between the methods might be attributable to the ability to incorporate crossings. Whether this ICVF-dependence on fibre complexity reflects the microstructure is unknown, but one could imagine that packing efficiency is lower for more complex configurations as observed in CHARMED and DKI. Use of these different methods for g-ratio calculations are therefore likely to vary significantly, and care must be taken when comparing ICVF or g-ratio results across studies.

Acknowledgements

SBV is funded by the National Institute for Health Research UCLH Biomedical Research Centre High Impact Initiative. We are grateful to the Wolfson Foundation and the Epilepsy Society for supporting the Epilepsy Society MRI scanner. The authors are grateful to Shani Ben Amitay for advice in using CHARMED.

References

[1] Winston et al., Epilepsy Research2014; [2] Stikov et al., NeuroImage 2015; [3] Assaf et al., MRM 2004; [4] Jensen et al., MRM 2005; [5] Fieremans et al., NeuroImage 2011; [6] Zhang et al., NeuroImage 2012; [7] Leemans et al., ISMRM 2009 p3537; [8] Jeurissen et al., HBM 2013; [9] Jelescu et al., NeuroImage 2015; [10] Cardoso et al., IEEE TMI 2015; [11]Campbell et al., ISMRM 2014 p393; [12] Ramirez-Manzanares et al., Medical Physics 2011.

Figures

Fig. 1: Intracellular volume fraction maps for the three used methods for two axial slices and a coronal slice. The bottom panel indicates the number of fibre orientation per voxel. All images are colour overlays over the probabilistic WM segmentation in grey with an identical colour scale.

Fig. 2: Histograms of intracellular volume fractions for the three methods split up for voxels with one (red), two (green), and three (blue) fibre populations. The top and bottom rows indicate the test-retest scans, respectively. Clear differences can be observed between the different models.

Table 1: Median±inter-quartile range ICVF values for regions of 1, 2, and 3-fibre populations. Both non-parametric Kruskal-Wallis and parametric ANOVA tests yield p<1e-10 for all within-model comparisons, indicating that although difference in medians are miniscule for NODDI they are statistically significant due to the large amount of voxels.

Fig. 3: Coefficients of variations for ICVF estimation for the three methods.

Table 2: Median±inter-quartile range for the coefficient of variation (1e-2) for regions of 1, 2, and 3-fibre populations. Both Kruskal-Wallis and ANOVA tests yield p<1e-10 for all within-model comparisons, indicating that although difference in medians are miniscule for NODDI they are statistically significant due to the large amount of voxels.



Proc. Intl. Soc. Mag. Reson. Med. 24 (2016)
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