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Sex-specific differences of the number of fiber orientations (NuFO) in the human brain
Szabolcs David1, Alexander Leemans1, and Alberto de Luca1
1UMC Utrecht, Utrecht, Netherlands

Synopsis

Keywords: White Matter, Brain, crossing fibers, biomarker, NuFO, FA

Diffusion MRI-based biomarkers are commonly used to assess brain microstructural properties. Mathematical models have been developed to calculate various metrics; each are sensitive to different tissue features. Here, we investigate whether there are differences in the number of fiber orientations (NuFO) between male and female brains and how these results compare to corresponding DTI-derived fractional anisotropy (FA) findings. Results show NuFO-based differences with high effect size (>1 Cohen’s D) in hippocampi, which are undetected in FA-tests. Therefore, NuFO could provide complementary aspects to DTI metrics to capture differences in microstructural organization.

Introduction

Diffusion MRI is among the most popular techniques to investigate brain microstructure. Most clinical applications are based on the diffusion tensor imaging (DTI) model. DTI metrics have been repeatedly shown as sensitive biomarkers of brain tissue microstructure[1,2].However, in voxels containing multiple fiber orientations, changes in DTI metrics, e.g. fractional anisotropy (FA), are not specific, and can originate from changes in any of the underlying tissue fibers. This conceptual limitation affects a large part of the brain, as multi-fiber configurations are present in the vast majority of the brain white matter[3,4]. More recently, methods investigating fiber orientation distributions (FOD) obtained from spherical deconvolution are becoming an increasingly popular solution to obtain microstructural metrics that overcome the limitations of DTI. In this work, we evaluate whether the number of fiber orientations (NuFO) can provide complementary insights into tissue microstructure when compared to conventional FA-based results. As an example study, we opted to evaluate potential differences between female and male brain microstructure, as such group differences are already established in the literature serving as a reference[5,6].

Methods

Minimally processed dMRI data were collected from the Human Connectome Project (HCP)[7,8]. Briefly, a motion- and distortion corrected dataset consisted of 18 non-DWIs (b-value = 0 s/mm2) and 90 DWIs per shell with b-values equal to 1000/2000/3000 s/mm2, with a voxel size of 1.25mm isotropic and a sample size of 408(243 females) participants.
The diffusion tensor was estimated with 9 non-DWIs and 90 DWIs at b=1000 s/mm2 using the weighted linear least squares[9] method.
NuFO[10] was calculated after estimating the FOD with the Generalized Richardson-Lucy (GRL)[11] spherical deconvolution framework. Corrections for gradient non-linearities were performed both in the DTI fit and the FOD estimation[12–14].
The signal contributions of white matter (WM), grey matter (GM) and cerebrospinal fluid were modelled separately. The WM signal was modelled using DTI. The tensor eigenvalues were derived for each subject by looking at voxels with FA>0.7. The main orientations of the FODs were derived with a gradient descent method and then NuFO was determined while discarding FOD peaks below 20% of maximum peak amplitude. The maximum NuFO was limited to 3.
For the group comparison, we used Permutation Analysis of Linear Models[15–19]. Significance was determined at pcorr<0.05 using family-wise error rate adjustment. Threshold-Free Cluster Enhancement[20] was used to amplify p-values. Total intracranial volumes (TIV) of the subjects were added as a nuisance regressor.

Results

Fig. 1 shows an example subject from the HCP cohort and the population mean maps for NuFO and FA in MNI space. In WM, there is a reverse relationship between the two metrics, for example, in the corpus callosum, a high FA value has a NuFO value of 1. Therefore, this region has single fiber orientation as shown by the population maps. However, DTI estimation in areas with divergent fiber populations results in a lower FA. Deep GM nuclei like the thalamus or caudate also have ~3 NuFO and low FA.
Fig. 2 shows a joint distribution histogram of voxel-wise NuFO and FA. High FA values (>0.8) only occur in WM and coincide with a NuFO value of 1. In other WM regions a higher NuFO corresponds to a lower FA. FA values in GM are generally low (~0.2) and in a narrow range, while NuFO assumes values between 1 and 3 at the same locations.
In Fig. 3, we examine voxel-wise differences in FA and NuFO between females and males. Both NuFO- and FA-based comparisons show widespread differences (left panel). Moreover, the NuFO-based analysis reveals differences in hippocampi with large effect sizes (Cohen’s D>1), whereas the effect sizes observed for FA are remarkably lower. Since there is a reverse relationship between NuFO and FA in WM, as shown in Fig. 2, we compared the effect sizes of ‘Male > Female’ NuFO-tests with ‘Female > Male’ FA-tests. Also, males do not show higher FA than females and females do not show higher NuFO than males, hence both are not shown.
Fig. 4 shows the distribution of effect sizes in voxels where FA or NuFO were significantly different between males and females. The figure shows separate distributions for voxels in which both metrics were significantly different (in section A) or only one of the two (in section B). Fig 4/B shows that the largest amount of differences were observed for NuFO only (340 cm3 or 18.4% of the MNI brain volume), followed by FA only (188 cm3 or 10.2%), and both metrics (125 cm3 or 6.7%).

Discussion and Conclusion

We investigated sex-specific differences in the human brain with DTI-based FA and GRL-based NuFO biomarkers, while adjusting for TIV. NuFO-based comparisons showed considerably more differences between sexes than FA. Of the total significant areas, only 19% of the regions show differences with both metrics, while 52% was showed with NuFO only. NuFO-based tests show large amount of differences with high effect sizes in the hippocampi. Most previous research shows similar patterns of higher FA for females, but are limited to core WM areas[21,22]. NuFO was able to reveal complementary differences compared to FA-based tests when used to investigate sex-specific differences in the brain and may offer new insights into the structure of the brain.

Acknowledgements

No acknowledgement found.

References

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Figures

Fig. 1 (A) shows NuFO of a single individual from HCP, (B) shows mean NuFO from the full HCP cohort, (C) shows FA of a single individual from HCP and (D) shows mean FA from the full HCP cohort. All images are in MNI space. In the middle block, we show DTI fit, raw diffusion MRI signal and CSD fit of the individual subject from voxels with different underlying microstructure. The locations of the example voxels are shown with green (NuFO of 1), white (NuFO of 2) and red (NuFO of 3) boxes on the individual maps, respectively.

Fig. 2 shows the joint distribution of fractional anisotropy (FA) and number of fiber orientations (NuFO) of the full HCP cohort. The individual data points are mean FA and mean NuFO values of the same locations from the MNI normalized images. Blue and red colors mark the tissue-specific distribution from gray matter and white matter, respectively.

Fig. 3 shows the results of the FA-based male vs female voxel-wise comparison on the top and NuFO on the bottom. Only those voxels are shown with the effect size, which survived the significance testing. Left side of the image shows the full scale of the effect sizes, whereas the right only those higher than 1, a relatively high threshold. White arrows emphasize higher NuFO in the hippocampus in males, which is absent from the FA-based comparison. Males do not show higher FA than females and females do not show higher NuFO than males according to the permutation tests, hence, both are not shown.

Fig 4. (A) shows significant effect size distribution from voxel locations, in which both NuFO- and FA-based tests resulted in a significant test, hence these results overlap. (B) shows significant effect size distribution from voxel locations, in which only NuFO- or only FA-based tests resulted in a significant test comparison, hence these are non-overlapping ones.

Proc. Intl. Soc. Mag. Reson. Med. 31 (2023)
3027
DOI: https://doi.org/10.58530/2023/3027