A study of 3D radial density adapted trajectories for sodium imaging

Bydder, Mark; Ali, Fadil; Saucedo, Andres; Hagiwara, Akifumi; Wang, Chencai; Pham, Alex D.; Yao, Jingwen; Ellingson, Benjamin M.

doi:10.1016/j.mri.2021.07.004

Cited by 3 publications

(3 citation statements)

References 22 publications

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“…The ELECTRO readout directions were applied to 3D center-out radial trajectories, but these same directions can be used to distribute other trajectories, such as radial-cones 39 , Seiffert's spirals 40 , and corkscrews 41,42 . Development and analysis were carried out for center-out radial, though extension of this method to full spoke radial is possible with minor adjustments.…”

Section: Discussionmentioning

confidence: 99%

Electric Potential Energy Optimized 3D Radial Sampling Trajectories for MRI

Huynh,

Goolaub,

Macgowan

2024

Preprint

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The purpose of this work was to develop and analyze a novel method for creating “golden” 3D center-out radial MRI sampling trajectories, called ELECTRO (ELECTRic potential energy Optimized). This method is based on using repulsive forces to minimize electric potential energy. An objective function G(S) was proposed that contains the electric potential energies of all subsets of consecutive readouts in a 3D radial trajectory. G(S) and its reduced form were minimized using a multi-stage optimization strategy. A new measure called Normalized Mean Nearest neighbor Angular distance (NMNA) was proposed for describing distributions of points on a sphere. ELECTRO and other relevant golden trajectories were compared in silico using NMNA and point spread function analysis. This work demonstrated that any subset of consecutive readouts from an ELECTRO trajectory were well spread out, as indicated by the consistency of NMNA values across sphere sizes (σNMNA=0.005) and between regions on the sphere (NMNA ≈ 1.49 over most regions). Conversely, the commonly used supergolden trajectory had poor consistency in NMNA values (σNMNA=0.090) and had severe clustering of readouts (for instance, NMNA = 1.28 at the pole with 40,000 readouts) that lead to structured aliasing artifact in the point spread function. Compared to performing the optimization all in a single stage, a multi-stage optimization strategy was faster and obtained lower values of G(S) (eg, 0.87 vs. 0.91, for a sphere size of 40). Minimizing a reduced version of G(S) can significantly reduce computation time but may result in a more uneven readout distribution. In conclusion, ELECTRO trajectories are more golden than other 3D center-out radial trajectories, making them a suitable candidate for dynamic 3D MR imaging.

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Section: Discussionmentioning

confidence: 99%

Electric Potential Energy Optimized 3D Radial Sampling Trajectories for MRI

Huynh,

Goolaub,

Macgowan

2024

Preprint

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“…15 Even though UTE radial sampling provides short echo times (TEs), UTE sequences suffer from various artifacts 18 such as altered blurring characteristics during T2 relaxation, 19 and susceptibility-related frequency offsets, resulting in a degraded point spread function when compared to Cartesian sampling. 20,21 In addition, radial sampling is highly sensitive to the gradient system imperfections and eddy currents and therefore, potentially lacks reproducibility across different scanners. Cartesian imaging remains one of the most SNR-efficient sampling strategies due to its equal coverage of low-and high-frequency components in k-space and providing precise voxel sizes.…”

Section: Introductionmentioning

confidence: 99%

“…Utilizing radial UTE, it is possible to acquire conventional sodium images within the evolution time 15 . Even though UTE radial sampling provides short echo times (TEs), UTE sequences suffer from various artifacts 18 such as altered blurring characteristics during T2 relaxation, 19 and susceptibility‐related frequency offsets, resulting in a degraded point spread function when compared to Cartesian sampling 20,21 . In addition, radial sampling is highly sensitive to the gradient system imperfections and eddy currents and therefore, potentially lacks reproducibility across different scanners.…”

Section: Introductionmentioning

confidence: 99%

Low‐rank reconstruction for simultaneous double half‐echo ²³Na and undersampled ²³Na multi‐quantum coherences MRI

Licht,

Reichert,

Bydder

et al. 2024

Magnetic Resonance in Med

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PurposeTo develop a new sequence to simultaneously acquire Cartesian sodium (23Na) MRI and accelerated Cartesian single (SQ) and triple quantum (TQ) sodium MRI of in vivo human brain at 7 T by leveraging two dedicated low‐rank reconstruction frameworks.Theory and MethodsThe Double Half‐Echo technique enables short echo time Cartesian 23Na MRI and acquires two k‐space halves, reconstructed by a low‐rank coupling constraint. Additionally, three‐dimensional (3D) 23Na Multi‐Quantum Coherences (MQC) MRI requires multi‐echo sampling paired with phase‐cycling, exhibiting a redundant multidimensional space. Simultaneous Autocalibrating and k‐Space Estimation (SAKE) were used to reconstruct highly undersampled 23Na MQC MRI. Reconstruction performance was assessed against five‐dimensional (5D) CS, evaluating structural similarity index (SSIM), root mean squared error (RMSE), signal‐to‐noise ratio (SNR), and quantification of tissue sodium concentration and TQ/SQ ratio in silico, in vitro, and in vivo.ResultsThe proposed sequence enabled the simultaneous acquisition of fully sampled 23Na MRI while leveraging prospective undersampling for 23Na MQC MRI. SAKE improved TQ image reconstruction regarding SSIM by 6% and reduced RMSE by 35% compared to 5D CS in vivo. Thanks to prospective undersampling, the spatial resolution of 23Na MQC MRI was enhanced from mm3 to mm3 while reducing acquisition time from min to min.ConclusionThe proposed sequence, coupled with low‐rank reconstructions, provides an efficient framework for comprehensive whole‐brain sodium MRI, combining TSC, T2*, and TQ/SQ ratio estimations. Additionally, low‐rank matrix completion enables the reconstruction of highly undersampled 23Na MQC MRI, allowing for accelerated acquisition or enhanced spatial resolution.

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Renal Sodium 23Na-MRI for Clinical Applications

Crescenzi,

Kon

2023

Advanced Clinical MRI of the Kidney

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A study of 3D radial density adapted trajectories for sodium imaging

Cited by 3 publications

References 22 publications

Electric Potential Energy Optimized 3D Radial Sampling Trajectories for MRI

Electric Potential Energy Optimized 3D Radial Sampling Trajectories for MRI

Low‐rank reconstruction for simultaneous double half‐echo ²³Na and undersampled ²³Na multi‐quantum coherences MRI

Renal Sodium 23Na-MRI for Clinical Applications

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A study of 3D radial density adapted trajectories for sodium imaging

Cited by 3 publications

References 22 publications

Electric Potential Energy Optimized 3D Radial Sampling Trajectories for MRI

Electric Potential Energy Optimized 3D Radial Sampling Trajectories for MRI

Low‐rank reconstruction for simultaneous double half‐echo 23Na and undersampled 23Na multi‐quantum coherences MRI

Renal Sodium 23Na-MRI for Clinical Applications

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Low‐rank reconstruction for simultaneous double half‐echo ²³Na and undersampled ²³Na multi‐quantum coherences MRI