2021
DOI: 10.1002/jmri.28029
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Compressed Sensing in Sodium Magnetic Resonance Imaging: Techniques, Applications, and Future Prospects

Abstract: Sodium ( 23 Na) yields the second strongest nuclear magnetic resonance (NMR) signal in biological tissues and plays a vital role in cell physiology. Sodium magnetic resonance imaging (MRI) can provide insights into cell integrity and tissue viability relative to pathologies without significant anatomical alternations, and thus it is considered to be a potential surrogate biomarker that provides complementary information for standard hydrogen ( 1 H) MRI in a noninvasive and quantitative manner. However, sodium … Show more

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Cited by 9 publications
(8 citation statements)
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“…The RIP having an order of K for A is expressed through the restricted isometry constant 𝛿 𝑘 , where 0 < 𝛿 𝑘 < 1. The RIP condition for order K asserts that the matrix A behaves almost like an isometry on all K-sparse vectors, meaning it approximately preserves their norm and pairwise distances enabling the recovery of the Website: www.ijeer.forexjournal.co.in Improved Magnetic Resonance Image Reconstruction using Compressed Sensing and Adaptive Multi Extreme Particle Swarm Optimization Algorithm original sparse signal from a reduced set of measurements [21]. Mathematically, for any K-sparse vector x, the RIP is characterized by the lower and upper bound conditions as shown in Equation 5.…”
Section: Compressed Sensingmentioning
confidence: 99%
“…The RIP having an order of K for A is expressed through the restricted isometry constant 𝛿 𝑘 , where 0 < 𝛿 𝑘 < 1. The RIP condition for order K asserts that the matrix A behaves almost like an isometry on all K-sparse vectors, meaning it approximately preserves their norm and pairwise distances enabling the recovery of the Website: www.ijeer.forexjournal.co.in Improved Magnetic Resonance Image Reconstruction using Compressed Sensing and Adaptive Multi Extreme Particle Swarm Optimization Algorithm original sparse signal from a reduced set of measurements [21]. Mathematically, for any K-sparse vector x, the RIP is characterized by the lower and upper bound conditions as shown in Equation 5.…”
Section: Compressed Sensingmentioning
confidence: 99%
“…Q.P. Chen et al surveyed the technologies, applications and future prospects of compressive sensing for magnetic resonance imaging [9]. A. Bustin et al reviewed the means of magnetic resonance imaging, including low-rank reconstruction, sparse dictionary learning and deep learning [10].…”
Section: Related Workmentioning
confidence: 99%
“…This can be compensated by reducing the number of signal averages (NSAs), at a cost to SNR. Recently, compressed sensing (CS) has been shown to improve SNR in sodium imaging, [16][17][18] but only a small number of studies have applied it in the leg. 19,20 The focus of this study was to develop a high-resolution 2D UTE- 23 Na MRI sequence with CS reconstruction for rapid and accurate TSC quantification in skeletal muscle and skin.…”
Section: Introductionmentioning
confidence: 99%
“…This can be compensated by reducing the number of signal averages (NSAs), at a cost to SNR. Recently, compressed sensing (CS) has been shown to improve SNR in sodium imaging, 16 , 17 , 18 but only a small number of studies have applied it in the leg. 19 , 20 …”
Section: Introductionmentioning
confidence: 99%