scholarly journals A New Hybrid Inversion Method for 2D Nuclear Magnetic Resonance Combining TSVD and Tikhonov Regularization

2021 ◽  
Vol 7 (2) ◽  
pp. 18
Author(s):  
Germana Landi ◽  
Fabiana Zama ◽  
Villiam Bortolotti

This paper is concerned with the reconstruction of relaxation time distributions in Nuclear Magnetic Resonance (NMR) relaxometry. This is a large-scale and ill-posed inverse problem with many potential applications in biology, medicine, chemistry, and other disciplines. However, the large amount of data and the consequently long inversion times, together with the high sensitivity of the solution to the value of the regularization parameter, still represent a major issue in the applicability of the NMR relaxometry. We present a method for two-dimensional data inversion (2DNMR) which combines Truncated Singular Value Decomposition and Tikhonov regularization in order to accelerate the inversion time and to reduce the sensitivity to the value of the regularization parameter. The Discrete Picard condition is used to jointly select the SVD truncation and Tikhonov regularization parameters. We evaluate the performance of the proposed method on both simulated and real NMR measurements.

Catalysts ◽  
2021 ◽  
Vol 11 (4) ◽  
pp. 431
Author(s):  
Tentu Nageswara Rao ◽  
Nalla Krishnarao ◽  
Faheem Ahmed ◽  
Suliman Yousef Alomar ◽  
Fadwa Albalawi ◽  
...  

A simple and highly efficient protocol for the synthesis of derivatives 7, 7-dimethyl-4-phenyl-2-thioxo-2, 3, 4, 6, 7, 8-hexahydro-1H-quinazoline-5-one from 5, 5-dimethyl cyclohexane-1, 3-dione (4a–4h) (dimedone) has been described. The aryl aldehydes were substituted with thiourea in the presence of synthesized zinc ferrite nanocatalyst, which increased the yield under reflux through condensation, followed by cyclization to give desired products. The other advantages are that it is eco-friendly and economically affordable for large-scale production. Structural validation and characterization of all the newly synthesized compounds were evaluated by spectral analysis (mass spectrometry, proton nuclear magnetic resonance (1HNMR), and Carbon-13 nuclear magnetic resonance(13CNMR)spectroscopies. The structure of antibacterial and antifungal assays was performed with the newly synthesized compounds. The antimicrobial activity of title compounds possessing electron-withdrawing groups such as (4e–4h) (Cl, Br, and cyano group) exhibited more active potential than the electron-donating groups, C6H5,4-C6H4, 3-OC2H5-4OH-C6H3, etc., (4a–4d) containing moiety.


2019 ◽  
Vol 52 (9) ◽  
pp. 541-552 ◽  
Author(s):  
Xuewen Hou ◽  
Guanqun Su ◽  
Bing Lu ◽  
Xin Wang ◽  
Shengdong Nie

2015 ◽  
Vol 9 (3) ◽  
Author(s):  
Alessandro Morotti ◽  
Dario Gned ◽  
Leonardo Di Martino ◽  
Claudia Vaccheris ◽  
Salvatore Lia ◽  
...  

The diagnosis of small intestine tumors is challenging. Even in the era of modern medicine, standard approaches including echography, computed tomography-scan and conventional endoscopy are unable to reveal small bowel lesions. Video-capsule has substantially improved the evaluation of small bowel; however this procedure cannot be proposed to all patients and in particular to those experiencing intestine sub-occlusion. Nuclear magnetic resonance (NRM) of the abdomen is an additional diagnostic approach that offers high sensitivity in the identification of small bowel lesions. Here, we describe a case of small bowel neoplasia indentified with NRM of the abdomen.


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