A method for echo planar imaging dynamic B0 field correction based on phase unwrapping is presented. For gradient-echo functional studies, the phase of the natively acquired images is used to estimate the accumulated B0-induced dephasing. For spin-echo diffusion, a matched echo planar imaging field echo navigator is acquired after the spin-echo readout so that motion-induced phase components can be subtracted before unwrapping. Application to both functional and diffusion in-vivo 3T fetal brain imaging is illustrated.
Test
data for fMRI and dMRI has been respectively acquired from 10 and 2
pregnant subjects (gestational ages 27-34 weeks) using a Philips 3T
Achieva scanner with a 32 channel cardiac coil. All subjects were
scanned supine, axially, and with anterior-posterior phase
encoding (PE). Simultaneous multi-slice (SMS) acceleration was
applied and complex data was reconstructed using a hybrid space
sensitivity encoding reconstruction8.
fMRI is acquired with a 2x SMS, 2x PE subsampling, ascending slice order, no half-scan, echo time TE=60ms,
voxel size Δ=2.2mm3,
and repeat time TR=2.8s. dMRI is acquired with 2x SMS, 2x
PE subsampling, odd-even slice interleave, and 0.75x half-scan. The
scanner software was modified to allow a dual hybrid echo comprised
of a standard spin-echo (SE) diffusion readout followed immediately
by a matched field echo (FE) readout. This spin and field echo (SAFE) method was
operated with TSE=70ms / TFE=135ms, Δ=2mm3,
four b-values at b={0,0.4,0.7,1}ms/μm2,
and TR=6.5s.
In this setting the SE
and FE are in the same distorted frame, and
complex phase subtraction is used to remove the component due
to motion during the diffusion gradient9,
so that phase-based dynamic B0 estimation techniques6
can be used in dMRI. Field estimation is based on a 3D+T
extension of the phase unwrapping max-flow/min-cut (PUMA) approach10. The unwrapped phase is low pass filtered to limit field singularities and the distortion is reversed by a conjugate phase reconstruction. When required in the experiments, per-shot motion correction11 is applied subsequently.
Fig. 1 illustrates the effect of distortion and motion correction at two different time instants of a fMRI series. The estimated B0 (Figs. 1c,f) changes substantially between the two time instants, which is consistent with the apparent changes in brain shape (Figs. 1a,d), largely corrected with our method (Figs. 1b,e). Fig. 2 includes an animation to illustrate the temporal stability of the signal after both corrections (bottom row) as compared with no corrections (top row). Fig. 3 shows the application of the method to adult brain dMRI acquired using the fetal protocol. A better match of the brain structures with the isolines from an anatomical scan is observed after (Figs. 3e-h) than before (Figs. 3a-d) correction, and the estimated field remains largely insensitive to the applied b-value (Figs. 3i-l). In Fig. 4 we show both magnitude (Figs. 4a-d) and phase (Figs. 4e-h) information from a dMRI fetal examination together with the estimated B0 (Figs. 4i-l) for different b-values. The estimations follow a similar trend, without the slice inconsistencies observed in the original phase data, although with an increased variance in low SNR regimes. In Fig 5, we provide examples in fetal dMRI acquired with opposite PE directions. Namely, we compare averaged unprocessed b=0 datasets (Figs. 5a,d), the result of only correcting for motion (Figs. 5b,e) and the combined result of motion and dynamic distortion correction (Figs. 5c,f). Areas enclosed in red show improved contrast (Fig. 5f versus 5e) and boundary localization (Fig. 5c versus 5b) when using the full model.
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