This invention relates generally to magnetic resonance imaging (MRI), and more particularly the invention relates to MRI data acquisition using a propeller k-space data acquisition.
A known k-space acquisition method is Periodically Rotated Overlapping Parallel Lines with Enhanced Reconstruction, or Propeller. See, for example, Pipe “Motion Correction with PROPELLER MRI: Application to Head Motion and Free-Breathing Cardiac Imaging”, MRM 1999; 42 (5): 963-969. With this method, small strips (blades) of k-space are sampled after slice excitation, with the strips successively rotated by an incremental angle until the entire k-space is sampled. The overlapping circular region of the blades around the center of k-space can be used for self-navigation and calibration.
Single-shot echo-planar imaging (ssEPI) has a leading role in many MR applications, including diffusion-weighted imaging (DWI) and functional MRI (fMRI). Its high frame rate is of particular interest for fMRI and other dynamic scans, such as perfusion-weighted MRI. For nondynamic scans (e.g., DWI), the snapshot feature of EPI is an important factor in avoiding the shot-to-shot random starting phase of each readout induced by the large diffusion gradients in concert with bulk motion. However, there are a multitude of problems associated with ssEPI. Geometric distortions could be considered as the main problem of the technique, along with many other undesired effects such as Nyquist ghosting, T*2 blurring, Maxwell effects, and eddy currents (especially for DW-EPI). The magnitude of these artifacts (aside from Nyquist ghosts) in EPI is inversely scaled by the speed with which k-space is traversed along the phase-encoding (PE) direction (i.e., the pseudo bandwidth). The pseudo bandwidth is determined by two factors: 1) the time between two consecutive echoes in the EPI readout train, and 2) the phase field of view (FOV). The latter may be decreased by the use of parallel imaging, whereby the phase FOV is reduced by a factor of R during the scan and then unfolded to the nominal phase FOV during the reconstruction process. In a similar manner, per-interleave phase FOV reduction is also obtained with interleaved EPI (iEPI). However, with interleaved EPI (in particular DW iEPI and non-DW iEPI) with severe patient motion, the phase inconsistencies between interleaves may cause problematic ghosting.
An alternative fast acquisition technique that is particularly suitable for DWI and is robust in the presence of patient head motion is PROPELLER (
To combine the inherent 2D navigation for motion correction with EPI's rapid acquisition, the RF-refocused readout may be replaced by an EPI readout. This was recently proposed for diffusion imaging and in combination with parallel imaging. However, the off resonance sensitivity of these propeller readouts is in fact identical to a standard ssEPI sequence, since the pseudo receiver bandwidth remains unchanged. In contrast to Cartesian EPI, off-resonance distortions in propeller EPI appear as a blurring effect instead of a simple displacement of the object in the PE direction. Given this undesired blurring, former propeller EPI did not have any advantage over ssEPI because the 2D navigation of several blades can never outperform ssEPI in terms of robustness to motion. Moreover, with ssEPI, the unidirectional geometric distortions resulting from either susceptibility gradients or eddy currents may be corrected with the use of postprocessing techniques.
In accordance with the invention, a Propeller acquisition is provided which reduces echo spacing (ESP) and hence increases the speed by which k-space is traversed. This is accomplished by applying the readout direction along the propeller short-axis and the phase encoding direction along the long-axis of the propeller blades, which is opposite to what has been proposed in prior art. With Echo Planar Imaging (EPI) the geometric distortions are proportional to the ESP. In addition, typical other EPI-related artifacts, such as signal drop-out and radial blurring, are diminished by the same amount as the ESP increases using proposed orthogonal propeller EPI design. Furthermore, with the propeller EPI design proposed herein, the number of phase encoding lines rather than the number of frequency encoding lines determines the final resolution. Hence, the geometric distortions are entirely independent on the desired target resolution, which is a unique and extremely advantageous feature for our propeller EPI pulse sequence.
In accordance with a feature of the invention, parallel imaging techniques can be applied to further reduce distortions by skipping scan lines.
In accordance with another feature of the invention, a reversed gradient polarity method (RGPM), can be employed to correct the remaining geometric distortions from two oppositely acquired propeller blades.
The invention and object and features thereof will be more readily apparent from the following detailed description and appended claims when taken with the drawings.
a, 1b are k-Space trajectories for propeller and LAP-EPI implementations and k-Space trajectory for the SAP-EPI sequence according to the invention, pentagrams denote the center of k-space.
a-2c are (a) trapezoidal readout gradients of the EPI train for three frequency-encoding resolutions (Nro=256, 64, 16), (b) Echo spacing, Tro, which is proportional to the geometric distortions, decreases with Nro and (c) Lower Nro makes the readout less efficient, and without diffusion weighting, the minimum TR per slice is approximately given by the product of the ETL [ms] and the number of blades required to fill k-space; this plot shows that for Nro lower than about 30, the minimum TR and hence the scan time are increased considerably; for DW scans, the scan time penalty is even higher.
a-3c are a: 256×256 ssEPI. b: 256 (freq.) 40 (phase) ssEPI. c: 40 (freq.) 256 (phase) ssEPI, images a-c were acquired with positive PE blips.
a-4d are residual ghosting as a function of the blade angle with reconstructed blades for five different angles are shown (0°, 45°, 90°, 135°, 180°) and for four different values of Nro ((a) 256, (b) 64, (c) 32, and (d) 16), keeping the target resolution at 256×256,
a-5i are simulations with a Shepp-Logan phantom. Synthetic k-space data were generated by inverse regridding using an 8× grid for maximum accuracy. a: Regridded phantom without T2* or off-resonance effects using same regridding routine as for all data in this work. (b-e) SAP-EPI and (f-i) LAP-EPI at different resolutions and off-resonance levels.
a-6e are a: 256×256 ssEPI (positive blips). b: 256×256 ssEPI (negative blips). c: 256×32 LAP-EPI. d: 32×256 SAP-EPI. e: Fat-saturated FSE as reference.
a-7d are (a) FLAIR image for reference onto which an automated contour was drawn and copied to b-d. b: 256×256 DW-ssEPI. c: 256×32 DWLAP-EPI. d: 32×256 DW-SAP-EPI.
a, 8b illustrate use of parallel imaging in accordance with the invention.
Basic Theory for the Principal Idea
The invention will be described with reference to echo-planar imaging (EPI). For EPI, a field inhomogeneity, ΔB0(r), will cause local displacements (in [m]) of the object in the PE direction according to
where prBW is the pseudo-receiver bandwidth defined as (ignoring gradient ramps and gaps between echoes)
where Δtpe denotes the time between two consecutive sampling points in the PE direction, and Tro=Nro Δtro is the readout time for a single echo in the EPI train, where Tro is echo pacing and Nro is resolution. Combining Eqs. [1] and [2] gives
Since the resolution in the PE direction, Npe, is not a part of Eq. [3], it is clear that reducing the number of PE lines will not affect the geometric distortion. Given a non-zero ΔB0(r), the geometric distortions are minimized by reducing either the phase FOV (FOVpe) or the echo spacing, Tro, both of which affect the speed with which k-space is traversed in the PE direction. The imaged object limits the phase FOV, as aliasing is undesired. The echo spacing, Tro, may be reduced by either increasing the receiver bandwidth ((1/Δtro)) or reducing the resolution, Nro, in the frequency-encoding direction. For most EPI applications, the maximum rBW is used in combination with ramp sampling, which involves data acquisition also on the up- and downslope of the readout trapezoid, in order to minimize Tro within the dB/dt limits.
The invention herein further reduces the echo spacing by decreasing Nro for each propeller blade while keeping the desired PE resolution Npe. This results in a propeller blade sampling pattern that covers an area in k-space similar to that reported in previous propeller EPI studies, but with the readout played out along the blade's short axis instead of the long axis.
As a final step in the reconstruction, the propeller blades are combined in a regridding process to a Cartesian k-space based on the correct locations in k-space corresponding to the angulation of the blades.
Current Vs. Prior Propeller-EPI Art
In
Theoretical Geometric Distortions as a Function of Nro for Ramp-Sampled Acquisitions
For ramp-sampled EPI acquisitions, k-space is traversed along kro at a variable speed, which causes the simple relationship between Δtro and Tro given in Eq. [2] to no longer hold. For small Nro, the majority of sampling is done during the ramps of the readout trapezoid. While smaller Nro is desirable to minimize the geometric distortions (Eq. [3]), there are diminishing returns for very narrow blades because the kro velocity is reduced. For an FOV of 24×24 cm and our particular gradient performance, we show in
TE and Half-Fourier Imaging
As illustrated in
Image Artifacts Scales with Nro-Simulations
These results are further supported by the simulations outlined in
Image Artifacts Scales with Nro—Actual Data
In
Ghosting Scales with Nro
In
Scan Time Vs. Distortions
Smaller Nro yields less distortion at the expense of a larger number of blades required to fill k-space, resulting in longer scan times. Moreover, smaller Nro implies that there is less common area between the blades, which may impair the 2D motion correction feature and phase correction capabilities because the spatial resolution in the image domain will become too low for these corrections. Hence there is a lower limit that Nro can have in practice.
Non-Diffusion Weighted MR-Data from Volunteer Using Current Vs. Prior Art
A slice just superior to the auditory canals of the volunteer is displayed in
Diffusion Weighted MR-Data from Volunteer Using Current Vs. Prior Art
In addition, DW images for a slice 15 mm lower than that in
RF Heat Deposition and Scan Time Efficiency Comparisons
In Table 1 some key acquisition parameters are given for DW propeller, LAP-EPI, and SAP-EPI on our 1.5 T and 3 T systems. Some observations can be made from this table, as follows:
An increase in the number of phase encoding lines (i.e. blade width) for PROPELLER from 16 to 24 has also been evaluated (data not shown). This was less favorable for the PROPELLER sequence since the minimum TE increased by 30% from 106.2 ms to 137.1 ms, which reduced SNR. Our preliminary benchmarking tests with DW-LAP/SAP-EPI and PROPELLER on 1.5 T and 3 T indicate that the SAR level is an order of magnitude less for LAP/SAP-EPI, which is also promising for imaging at higher fields, such as 7 T. Moreover, the final scan time may be two or four times less for SAP-EPI compared to PROPELLER at 1.5 T and 3 T, respectively. For non-DW scans, the difference in echo spacing of about 25 times between SAP-EPI and PROPELLER will make the scan time difference even more pronounced. Alternatively, the promising Turbo-prop sequence with mixed gradient and RF refocused readouts may be used; however, that sequence was not available to the inventors.
Enhancements of the Technique 1-Parallel Imaging
Instead of decreasing Nro much below about 16-32, we believe that additional distortion reduction can be achieved by parallel imaging (PI) techniques, which would increase Δkpe by a factor of R. Combining SAP-EPI with a realistic acceleration factor of 3 on a conventional eight-channel RF-system would reduce the image artifacts by about a factor of 9 for a clinically relevant target resolution of 256×256. In
Enhancements of the Technique 2-Distortion (ΔB0) Correction
Additionally, a reversed gradient polarity method (RGPM), such as disclosed by Anderson, Skare, and Ashburner, NeuroImage 20 (2003), pp 870-888, can reduce geometrical distortions between tissues of differing magnetic susceptibility. RGPM uses two magnitudes images that are acquired with opposite k-space traversal. The underlying unknown field inhomogeneity can be estimated and corrected by minimizing the difference between the two images. Following our SAP-EPI acquisition disclosed herein, propeller blades that are oriented 180° relative to each other may be undistorted this way. Patient motion that may have occurred between blade pairs will also be modeled and corrected with this approach. In practice, all blades involved in the scan can be processed this way, leading to a full set of rectified blades that will be used in the final regridding and reconstruction. This is illustrated in
The ΔB0 field estimated using current, variation a-c or any other technique may either be applied on the blades in image domain or by phase rewinding the effect of the ΔB0 field along the blade readout trajectory in k-space.
Enhancements of the Technique 3-Dual/Multi Propeller-Blades per Excitation
Instead of reading out one propeller blade per excitation, two or more blades (at different angles) may be acquired after the same excitation. For optimal performance, a refocusing pulse may be added between each blade readout (except for the last one). However, there may be applications where refocusing pulses are not needed.
Multiple blade readouts can shorten the total acquisition time, in particular for e.g. diffusion weighted PI accelerated SAP-EPI, where the diffusion preparation time is in the order of 40-100 ms followed by an blade readout of about 10-30 ms. One or two extra blades can provide a better balance between the prep time and the readout period(s). This is illustrated in
While the invention has been described with reference to specific embodiments, the description is illustrative of the invention and is not to be construed as limiting the invention.
Various applications may occur to those skilled in the art without departing from the spirit and scope of the invention as defined by the appended claims.
Attached hereto and incorporated by reference for all purposes is the paper by Skare et al. “Propeller EPI in the Other Direction”, Magnetic Resonance in Medicine 55:1298-1307 (May 2006).
The U.S. Government has rights in the disclosed invention pursuant to NIH Grant Nos. R01 EB002771 and P41RR09784 to Stanford University.
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