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Characterizing diffusion of myelin water in the living human brain using ultra-strong gradients and spiral readout
Chantal MW Tax1, Umesh S Rudrapatna1, Lars Mueller1, and Derek K Jones1

1CUBRIC, School of Psychology, Cardiff University, Cardiff, United Kingdom

Synopsis

Myelin is a key white matter compartment, but myelin water is beyond the detection of conventional diffusion MRI methods because of its short T2. Here we combine ultra-strong gradients and spiral readout to achieve very short echo times (TE=30ms) at very high diffusion weighting (b=6000s/mm^2), with the aim of achieving significant sensitivity to the diffusion of myelin water in the living human brain. We investigated the challenge of disentangling 3 distinct compartments – including the short T2 component from myelin.

Introduction

Biophysical diffusion MRI (dMRI) models aim to characterize water diffusion within individual tissue-compartments. Myelin is a key white matter (WM) compartment that plays a critical role in information transport, and measuring myelin content is important for monitoring pathologies where demyelination, dysmyelination, or remyelination are implicated. However, myelin water is often considered ‘off-limits’ with typical dMRI measurements in the living human brain, because of its short transverse relaxation time (T2) and low volume fraction. Diffusion imaging of myelin water could potentially provide a more holistic characterization than alternative techniques1,2 currently allow, by also providing orientational information. Even though indirect sensitivity to myelin-water diffusion has been hypothesised through its interaction with other compartments3,4, direct characterisation of myelin water as a separate diffusion-compartment has thus far mostly been performed in excised tissue5,6 and simulations7. In this work, we exploit ultra-strong gradients and spiral readout to achieve very short echo times (TE=30$$$ms$$$) at very high diffusion weighting (b=6000$$$s/mm^2$$$), with the aim of achieving significant sensitivity to the diffusion of myelin water in the living human brain.

Methods

In vivo human brain data

A pulsed-gradient-spin-echo (PGSE) sequence with spiral readout8 was implemented on a Siemens Connectom scanner with 300 mT/m gradients. dMRI data from one healthy volunteer were acquired with b=[0,1000,2000,4000,6000]$$$s/mm^2$$$ and a range of TE’s, where the shortest TE was 5.5$$$ms$$$ for b=0$$$s/mm^2$$$, 22$$$ms$$$ for b=1000$$$s/mm^2$$$ and 30ms for b=6000$$$s/mm^2$$$ (Fig. 1).

Simulations

A commonly-used biophysical model with two compartments representing intra- and extra-axonal space (axially symmetric tensors with the former having zero perpendicular diffusivity)9,10 was extended to model compartment-specific T211, and an axially symmetric diffusion tensor was added representing the myelin compartment5. Here, the apparent perpendicular diffusivity includes contributions both from very slow diffusion orthogonal to the lipid bilayer, and faster diffusion circumferentially between layers. Signals were simulated using the in vivo MRI protocol, with a range of ground truth parameters (Fig.2) and Gaussian distributed noise (SNR=150 for b=0$$$s/mm^2$$$, TE=0$$$ms$$$).

Estimation

Parameter estimation was performed using the simplex algorithm12 with a cascaded fit where model complexity was increased in each cascade-step. The fit was initialised from multiple start positions, and the fit with the highest log-likelihood was selected.

Results

Simulations

The two-compartment diffusion model that served as the basis of the extended model proposed here is known to suffer from degeneracies, bias, and low precision13. Adding TE-dependency as an extra dimension has renewed hope for resolving these degeneracies11, and is essential for disentangling the myelin compartment. For the extended 3-pool diffusion-T2 model, Fig.2 studies degeneracies, bias, and precision of estimated signal fractions, apparent perpendicular diffusivities, and apparent T2. A low degree of dispersion was simulated using a Watson fiber orientation distribution (ODF, kappa=25). For low $$$d_{perp,m}$$$ (top row), increasing $$$T2_m$$$ initially increases precision of $$$d_{perp,m}$$$, but ultimately results in a lower discriminating power between $$$d_{perp,m}$$$ and $$$d_{perp,i}$$$. For larger $$$d_{perp,m}$$$ (bottom row), the clouds of solutions for myelin and the extra-axonal compartment start to overlap.

In vivo human brain data

Fig.3 shows results of the fitting of a 2-pool and 3-pool diffusion-T2 model. Including low TE-images achievable with the spiral acquisition into the fit results in a significantly lower T2-estimate for both pools (p=0.005 and p=7.7e-7), while diffusivities remain relatively similar. In agreement with the simulations, the clouds of solutions cannot be unambiguously distinguished, but the data supports the 3-pool over the 2-pool model in all voxels (evidenced by a lower AIC). A compartment with low T2 (<50$$$ms$$$) and low perpendicular diffusivity could be identified, which could indicate contributions from myelin water.

Discussion and Conclusion

We report on the ability to extract three distinct T2-diffusion species in the white matter of the living human brain. This has been facilitated by combining cutting edge hardware with robust spiral sampling of k-space, to drastically shorten TE. This access to a new measurement space (e.g. TE=30$$$ms$$$ for b=6000$$$s/mm^2$$$), gives a tantalising hint (Fig.3) that robustly quantifying the diffusivity of myelin water might be possible. However, it becomes apparent that more work needs to be done to get reliable quantification and to include factors such as exchange and dispersion. Exploring the cause of the dispersion in estimates is the subject of ongoing work, as well as the importance of stronger gradients/higher b-values/shorter TEs. Alternative solutions such as inversion recovery (IR) pulses could be used to suppress the long T1-component in WM, which is often assumed to arise from non-myelin water14. In the case of full suppression, the remaining signal could be represented by a single diffusion-T2 compartment, which should facilitate the fitting.

Acknowledgements

CMWT is supported by a Rubicon grant (680-50-1527) from the Netherlands Organisation for Scientific Research (NWO) and Wellcome Trust grant (096646/Z/11/Z). The data were acquired at the UK National Facility for In Vivo MR Imaging of Human Tissue Microstructure funded by the EPSRC (grant EP/M029778/1), and The Wolfson Foundation. DKJ is supported by a Wellcome Trust Investigator Award (096646/Z/11/Z) and a Wellcome Trust Strategic Award (104943/Z/14/Z)

References

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4. Lin M, He H, Tong Q, Ding Q, Yan X, Feiweier T, Zhong J. Effect of myelin water exchange on DTI-derived parameters in diffusion MRI: Elucidation of TE dependence. Magnetic Resonance in Medicine. 2018; 79(3):1650–1660.

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Figures

Fig.1: Diffusion-weighted images were acquired with b=[1000,2000,4000,6000]$$$s/mm^2$$$ and TE=[21.7,24,30,37.8,57.1,78.8,150]$$$ms$$$. Additional b=0$$$s/mm^2$$$ images were acquired with TE=[5.5,6,8,10,12,14,16,18,20]$$$ms$$$ (not shown).

Fig.2: Simulation results for a three-pool diffusion-T2 model, 50 noise iterations, each initialised 30 times (only the highest log-likelihood solution is shown). The red circles represent the simulated ground truth: $$$d_{perp,e}$$$=0.6$$$um^2/ms$$$, $$$f_e$$$=0.51, $$$T2_e$$$=70$$$ms$$$, $$$d_{perp,i}$$$=0$$$um^2/ms$$$, $$$T2_i$$$=110$$$ms$$$, $$$f_i$$$=0.34, $$$f_m$$$=0.15, and $$$T2_m$$$ and $$$d_{perp,m}$$$ varied between [10,20,30,40]$$$ms$$$ and [0.1,0.2,0.3]$$$um^2/ms$$$ respectively. The observed differences between simulated dispersion and no simulated dispersion were minimal (results not shown). Circles: “intra-axonal”, squares: “extra-axonal”, diamonds: “myelin”.

Fig.3: In vivo human brain results for two-pool (top and middle), and three-pool (bottom) diffusion-T2 model fitted in voxels of the posterior limb of the internal capsule (PLIC). The two-pool model is fitted with TE achievable with conventional EPI readout (top) and spiral readout (middle). Circles: “intra-axonal”, squares: “extra-axonal”, diamonds: “myelin”.

Proc. Intl. Soc. Mag. Reson. Med. 27 (2019)
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