Synopsis
Imperfections in applied gradient fields are
manifest as deviation from ideal temporal waveforms and spatial nonlinearity. Eddy currents induced in conductive surfaces are
mitigated to a great extent by pre-emphasis of gradient demand to compensate
for known inductive loss thereby yielding near-ideal temporal waveforms. However, residual eddy currents do impact demanding
applications and may still require post-acquisition software correction. Spatial non uniformity of applied gradient
fields induce geometric distortions which are effectively removed via automatic
2D or 3D (un)warping, although there is residual bias in diffusion
weighting. This lecture will focus on practical
impact of these effects.Purpose:
Starting
from a brief overview of the origin and nature of applied gradient field
imperfections, this talk will focus on practical consequences of non-ideal gradient
temporal and spatial properties.
Eddy Currents:
As
dictated by Lentz’s law, rapid field changes by pulsed gradient coils
necessarily induce currents in nearby conductive surfaces within the MRI system
that counteract intended magnetic flux change by the gradients. Geometry, conductivity and proximity of these
surfaces relative to the gradient coils determine the mix of spatial and
temporal modes in resultant eddy currents.
Certainly, active shielded gradient coil designs of the mid-1980s were a
major advance to reduce eddy currents by greatly limiting gradient fields
reaching conductive surfaces of the warm bore and cryo-shield. Comprehensive modeling of gradient, shim and
magnet elements is essential for effective integration of subsystems into a
properly functioning MRI system. Despite
proper modeling and an integrated design, eddy currents will remain due to
fundamental physics, but they are controlled to have acceptably small impact in
most applications. Subject to maximum
slew rate and amplitude constraints, pre-emphasis of the gradient amplifier
drive waveform to temporally ‘overshoot’ thereby compensate for predicted eddy-current
‘under-shoot’ to achieve a near-ideal waveform.
However, in more demanding applications such as single-shot echo-planar
particularly in combination with diffusion-weighted imaging, eddy-currents can
still introduce artifacts including: ghosting, blur, geometric warp/shear/scale/shift,
and signal loss. Note, just as their
eddy-current source, severity of these artifacts is spatially-variable. Uncompensated eddy currents that scale with
diffusion pulse amplitude and vary with DW axis direction produce spatially misaligned
DWI and yield artifact when combined as in trace-DWI, ADC, FA, etc. Image registration of individual b-value and
direction DWIs to a common reference (e.g. b0) prior to subsequent mathematical
combination mitigates these errors, and is often automatically performed via
“in-line” routines.
Gradient Non Linearity (GNL):
In the
ideal world, gradients add incremental z-field that scales linearly with offset
from isocenter. Of course, real-world
physics dictate gradients are linear over only a limited range in the
bore. For example, local gradient strength
5% to 10% higher than nominal at locations 15cm off center in R/L and A/P
directions, and 15% to 25% weaker than nominal strength 15cm off center in S/I
direction are common on modern clinical MRI systems. Since spatial encoding of local distance scales
with actual gradient strength, local distances are proportionally in error leading
to 3D geometric distortion. Fortunately,
spatial distortion due to GNL varies smoothly in a predictable manner based on
gradient coil design properties therefore GNL distortion is usually corrected
using in-line 3D gradient (un)warp routines.
For many routine applications high spatial fidelity may not be essential,
but for image-guided biopsy/intervention and spatial conformal therapies,
spatially accurate 3D images are crucial.
Beyond
automatic 3D spatial (un)warp correction of MR images using known GNL
properties, diffusion-weighted images contain additional GNL error that is typically
left uncorrected. Moreover, this error
is unrelated to additional spatial distortion manifest on SS-EPI due to local
B0-inhomogeneity. Instead, the error is in
degree of diffusion weighting that varies spatially due to non uniform gradient
strength. While DWI/DTI/DSI acquisitions
are denoted by a scalar “b-value”, one should instead envision 3D spatial “b-maps”
for each applied diffusion gradient direction.
Since diffusion-weighting scales with the square of gradient amplitude,
systematic GNL bias error in calculated ADC can often be 10% to 20% 15cm off
center in AP/RL direction and 30% to 50% in SI direction. Mathematical formalism of GNL as a tensor, derived
from gradient coil design coefficients allows one to appropriately derive local
diffusion weighting and greatly mitigate GNL bias in ADC maps.
Acknowledgements
No acknowledgement found.References
No reference found.