Xianjun Li1, Miaomiao Wang1, Fan Wu1, Qinli Sun1, Heng Liu1, Yuli Zhang1, Mengxuan Li1, Chao Jin1, Congcong Liu1, Xiaocheng Wei1, and Jian Yang1
1Department of Radiology, the First Affiliated Hospital of Xi’an Jiaotong University, Xi'an, China
Synopsis
Mahalanobis
distance is a feasible multivariate approach. This work compared performances
of Mahalanobis distances based on different combinations of metrics in
assessing the white matter maturation on neonates and toddlers. Mahalanobis
distance based on the combination of diffusion tensor and kurtosis tensor metrics
demonstrated various advantages: stronger correlation with the postmenstrual
age and higher developmental speeds could be revealed; distances from the
developing to the adult brains and the changes from neonates to toddlers were
enlarged. Results in the current work suggest that diffusion kurotsis imaging
with the Mahalanobis distance would benefit the characterization of white
matter maturation.
Introduction
White matter
maturation underpins the development of cognitive functions and behaviors [1].
Mahalanobis
distance with diffusion tensor imaging (DTI) is a powerful multivariate
strategy in assessing white matter development [2, 3].
As an extension of DTI, diffusion kurtosis imaging (DKI) could also provide kurtosis
tensor (KT) metrics (axial kurtosisn, AK; radial kurtosis, RK, etc), besides diffusion
tensor (DT) metrics (fractional anisotropy, FA; axial diffusivity, AD; radial
diffusivity, RD) [4, 5].
However, the influence of KT metrics on the Mahalanobis distance remains to be
investigated. This work compared performances of Mahalanobis distances based on
different combinations of metrics in assessing the white matter maturation on
neonates and toddlers.Methods
This study is
approved by the local institutional review board. Informed written consents have
been obtained from adult participants and the parents of neonates and toddlers.
This study
enrolled two cross-sectional developing subjects: neonates (age at MRI ≤ 28 days) and toddlers
(12 months ≤ age
at MRI < 24
months). This study also enrolled adults with age from 18 to 30 years as the reference.
Subjects with MRI abnormalities and/or any disease that may affect white matter
structure have been excludes.
MRI was performed
on a 3T scanner (Signa HDxt; GE Healthcare; Milwaukee, Wisconsin, USA) with an
8-channel head coil. DKI was performed by using SS-EPI with following
parameters: b values=0, 500, 1000, 2000, 2500 s/mm2; 18 gradient
directions per nonzero b value; Repetition time/Echo time =11000/91.7 ms; voxel
size= 1.41 × 1.41 × 4 mm3.
Post-processing
of DKI was performed by using a robust workflow [6].
To normalize the derived metric images, this study created FA targets for
neonates, toddlers and adults, separately [7].
For the atlas-based analysis, FA template and atlas available in FSL were back
registered to the local FA target of adults, and then to the FA target of
toddlers, and finally to the FA target of neonates (Figure 1). The white matter
structures of interest included left and right regions of 2 projection tracts: corticospinal
tract at the internal capsule level (CST(IC)) and anterior thalamic radiation
(ATR); 2 commissural tracts: forceps major
(F_major) and forceps minor (F_minor); left and right regions of 4 association tracts,
inferior fronto-occipital fasciculus (IFOF), inferior longitudinal fasciculus
(ILF), superior longitudinal fasciculus (SLF), and uncinate fasciculus (UF).
Mahalanobis distances was calculated by using 'independent' DT metrics (DM,DT)
and the combination of DT and KT metrics (DM,DT-KT), separately.
Inter-group differences
of the gestational age, age at MRI, postmenstrual age, and regional values in Mahalanobis
distances were investigated by using the Mann-Whitney U test. The Chi-square
test was used to explore the inter-group differences of the gender ratio. The correlation
between Mahalanobis distances and the postmenstrual age was performed by using
the Spearman correlation. The Wilcoxon signed rank test was used to assess
differences between DM,DT and DM,DT-KT. All the tests
were taken to be statistically significant at P<0.05.Results
A total of 103 term
subjects, including 48 neonates (males/females, 28/20; age, 3-28 days), 25
toddlers (males/females, 13/12; age, 12-23 months), and 30 adults (males/females,
13/17; age, 18-26 years) were enrolled in this study. No significant
differences in the gender ratio across groups could be found (P>0.05).
Significant negative
correlations could be found between Mahalanobis distances and the postmenstrual
age on most of the investigative white matter tracts (Figure 2). The absolute
values of correlation coefficients were larger revealed by DM,DT-KT
than DM,DT (Figure 3). Furthermore, more regions with significant
correlations could be revealed by DM,DT-KT. DM,DT-KT
demonstrated relatively higher changing speeds than DM,DT,
especially on toddlers. Larger absolute changes from neonates to toddlers could
be revealed by DM,DT-KT than DM,DT (Figure 4). Discussion
Similar to results
of the comparison between univariate and multivariate Mahalanobis distances [2, 3],
the dependency of the Mahalanobis distance on the metric selection was also found
in the comparison between DM,DT and DM,DT-KT. Regional values
of DM,DT-KT were higher than those of DM,DT. The enlarged
values in distances may be due to the additional information
provided by KT metrics [8].
DT metrics could provide information related to microstructure alterations
during the white matter development, such as oligodendrocyte proliferation and
myelination [9].
Besides these developmental events, KT metrics are also sensitive to diffusion
heterogeneity associated with axonal packing and/or isotropic diffusion
barriers [8, 10].
Therefore, combing the DT and KT metrics could reasonably enlarge values of
Mahalanobis distances. Furthermore, DM,DT-KT demonstrated larger
changes from neonates to toddlers. These results may be due to the high
sensitivity of KT metrics. Previous studies have found that DKI could offer
more sensitive evaluation of the structural alterations during brain
maturation, in comparisons with DTI [8, 11, 12].
In summary, the enlarged values and the improved sensitivity would benefit the
characterization of the slowly developmental process. Conclusion
Including more
metrics could improve the performance of Mahalanobis distance. Mahalanobis
distance based on the combination of DT and KT metrics in DKI is powerful to
characterize white matter maturation on neonates and toddlers.Acknowledgements
This
study was supported by the National Natural Science Foundation of China
(81901823, 81771810, and 81971581), National Key Research and Development
Program of China (2016YFC0100300), the 2011 New Century Excellent Talent
Support Plan of the Ministry of Education of China (NCET-11-0438), the Project
Funded by China Postdoctoral Science Foundation (2019M653659), and the Natural
Science Basic Research Plan in Shaanxi Province of China (2019JQ-198).References
[1] Gilmore JH, Knickmeyer RC, Gao W. Imaging structural and functional brain development in early childhood. Nat Rev Neurosci 2018;19(3):123-137.
[2] Kulikova S, Hertzpannier L, Dehaenelambertz G, Buzmakov A, Poupon C, Dubois J. Multi-parametric evaluation of the white matter maturation. Brain Struct Funct 2015;220(6):3657-3672.
[3] Iii DCD, Lange N, Travers BG, Prigge MB, Matsunami N, Kellett KA, et al. Multivariate characterization of white matter heterogeneity in autism spectrum disorder. Neuroimage Clin 2017;14(1):54-66.
[4] Jensen JH, Helpern JA. MRI quantification of non-Gaussian water diffusion by kurtosis analysis. NMR Biomed 2010;23(7):698-710.
[5] Jensen JH, Helpern JA, Ramani A, Lu H, Kaczynski K. Diffusional kurtosis imaging: the quantification of non-gaussian water diffusion by means of magnetic resonance imaging. Magn Reson Med 2005;53(6):1432-1440.
[6] Li X, Yang J, Gao J, Luo X, Zhou Z, Hu Y, et al. A robust post-processing workflow for datasets with motion artifacts in diffusion kurtosis imaging. PLoS One 2014;9(4):e94592.
[7] Li X, Gao J, Wang M, Wan M, Yang J. Rapid and reliable tract-based spatial statistics pipeline for diffusion tensor imaging in the neonatal brain: applications to the white matter development and lesions. Magn Reson Imaging 2016;34(9):1314-1321.
[8] Paydar A, Fieremans E, Nwankwo JI, Lazar M, Sheth HD, Adisetiyo V, et al. Diffusional kurtosis imaging of the developing brain. AJNR Am J Neuroradiol 2014;35(4):808-814.
[9] Ouyang M, Dubois J, Yu Q, Mukherjee P, Huang H. Delineation of early brain development from fetuses to infants with diffusion MRI and beyond. Neuroimage 2019;185:836-850.
[10] Ouyang M, Jeon T, Sotiras A, Peng Q, Mishra V, Halovanic C, et al. Differential cortical microstructural maturation in the preterm human brain with diffusion kurtosis and tensor imaging. Proc Natl Acad Sci U S A 2019;116(10):4681-4688.
[11] Grinberg F, Maximov II, Farrher E, Neuner I, Amort L, Thönneßen H, et al. Diffusion kurtosis metrics as biomarkers of microstructural development: a comparative study of a group of children and a group of adults. Neuroimage 2017;144(Pt A):12-22.
[12] Cheung MM, Hui ES, Chan KC, Helpern JA, Qi L, Wu EX. Does diffusion kurtosis imaging lead to better neural tissue characterization? A rodent brain maturation study. Neuroimage 2009;45(2):386-392.