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.
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.
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.
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