Synopsis
Diffusion kurtosis imaging (DKI) is an extension
of DTI with the ability to provide additional information about tissue
microstructure. To evaluate the diffusion time dependence of diffusion
kurtosis, kurtosis is measured perpendicular to white matter tracts in rat
spinal cord for diffusion times ranging from 12 to 100 ms. In this study, kurtosis
increased as a function of diffusion time in white matter, yet decreased in
gray matter. Assessing the change in diffusion kurtosis across diffusion time
could potentially inform upon the underlying white matter microstructure.Purpose
Diffusion kurtosis imaging (DKI) is a
higher-order extension of diffusion tensor imaging (DTI) shown to provide
additional information about tissue microstructure
1. Although the
dependence of the water diffusion MRI signal on diffusion time has previously
been assessed for a wide spectrum of diffusion times in a variety of tissue
types, current knowledge is limited regarding the effects that changes in
diffusion time have on diffusion kurtosis. Previous studies have examined the
diffusion time dependence of kurtosis through simulations
2, applied
to ischemic stroke
3, in rat brain
4-6, and in muscle
7,
but experimental data of kurtosis perpendicular to white matter (WM) tracts
covering a wide spectrum of diffusion times have not previously been shown. In
this study, apparent diffusion kurtosis is measured perpendicular to white
matter tracts in ex vivo rat spinal cord for diffusion times ranging from 12-100
ms.
Methods
Adult female Sprague-Dawley rats (N=3) were
perfusion fixed with 4% paraformaldehyde (PFA) in PBS and the spinal cords were
excised, post-fixed, and washed in PBS before imaging. Single-slice 2D imaging
of the cervical spinal cord was performed on a 15.2T 11-cm bore Bruker scanner
with slice thickness = 2 mm, FOV = 4.8 x 4.8 mm
2, and matrix size =
48 x 48 for an in-plane resolution of 100 µm. Diffusion-weighted imaging (DWI)
data were acquired using a diffusion-weighted stimulated echo sequence with TR/TE
= 1800/16 ms. Diffusion weighting was achieved with δ = 5 ms, Δ = 12, 25, 40,
60, and 100 ms, 5 b-values ranging from 0 to 16000 s/mm
2, 1
direction (perpendicular to the spinal cord), and 20 signal averages with
gradient polarity reversal for a scan time of ≈ 12h. After images were
zero-padded 2x, perpendicular diffusivity (D
⊥) and kurtosis (K
⊥) were estimated for each diffusion time using a
non-linear least squares approach. ROI analysis was performed for six different
white matter tracts: dorsal corticospinal (dCST), funiculus gracilis (FG),
funiculus cuneatus (FC), rubrospinal (RST), vestibulospinal (VST), and
reticulospinal (ReST), as well as gray matter (GM).
Results
Fig. 1 shows maps of K
⊥ for diffusion times of 12 and 40 ms. Visually, there
is an apparent increase in K
⊥ of WM and a slight decrease in K
⊥ of GM as Δ increases from 12 to 40 ms. Fig. 2 shows a
plot of ROI means of K
⊥ for Δ = 12 to 100 ms. Each of the 6 white matter
tracts demonstrated an increase in K
⊥ (20-42%) as Δ increased from 12 to 100 ms, whereas K
⊥ decreased in GM (23%). Additionally, in general,
white matter tracts with smaller axons and higher axon density (e.g. dCST and
FG) had higher K
⊥ than those with larger axons and lower axon density
(e.g. FC and VST).
Discussion
This study showed an increase in K
⊥ in WM and a decrease in K
⊥ in GM of rat spinal cord between diffusion times of
12 and 100 ms. Previous simulation work demonstrated an initial rise in
kurtosis at short diffusion times and a decrease at longer diffusion times,
with the time where maximum kurtosis occurs dependent on the tissue
microstructure
2. Experimentally, this was shown in rat brain gray
matter, where kurtosis peaked at 10 ms and decreased at longer diffusion times
6,
consistent with the decrease demonstrated in GM in this study. However, for the
diffusion times utilized in this study, K
⊥ in WM only increased, indicating that the period of
time where kurtosis rises is much longer than that shown in other tissues. This
is potentially due to the significant contrast in water diffusion in the
extra-axonal space versus the highly restricted intra-axonal space, which
prevents the diffusion displacement distribution from approaching Gaussian for
a relatively long period of time. Because of this, assessment of diffusion kurtosis
changes as a function of diffusion time could provide useful information
concerning WM microstructure. Additionally, significant changes in K
⊥ for these common diffusion times demonstrate the
importance of considering diffusion time when comparing values of kurtosis
across different studies.
Conclusion
The diffusion time dependence of diffusion
kurtosis was examined in ex vivo rat spinal cord, demonstrating an increase in
WM K
⊥ and a decrease in GM K
⊥. Future work will focus on extending the range of
diffusion times to observe whether K
⊥ reaches a maximum at longer diffusion times and
experiments with other tissue types such as rat brain white matter or rat peripheral
nerve.
Acknowledgements
NIH
R01 EB001744, NIH S10 RR029523References
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p. 40. 4. Wu EX and Cheung MM. NMR Biomed. 2010;23(7):836-848. 5. Portnoy S, et
al. MRM. 2012;69(4):1131-1145. 6. Pyatigorskaya N, et al. MRM.
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