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Vol 48, No 3 (2017)

Original Paper

Electron-Spin Relaxation Measurements of Biological [2Fe-2S] Cluster System in View of Electron Spin Quantum Bits

Baldansuren A.

Abstract

At 20 K, as long as \(T_m\sim 800-1000\) ns were measured for the [2Fe-2S] cluster in its intrinsic protein environment. Such relaxations are a relatively long coherence time for the low-spin \(S=1/2\) system. For this biological cluster, the phase memory time was found significantly affected by the nuclear hyperfine interactions of \(^{14}\)N with \(I=1\). When labeling the surrounding ligands with the \(^{15}\)N isotope uniformly, \(T_m\) are enhanced between \({\sim }1.1-1.4~\upmu\)s at the canonical orientations. This is already an order of magnitude longer than the duration of a single-spin qubit manipulation \({\sim }10-100\) ns. While \(T_1\) are of the order of \({\sim }130\)\(\upmu\)s at the canonical orientations, the transient nutation experiments reflect on the coherent manipulation of the electron spin.

Applied Magnetic Resonance. 2017;48(3):275-286
pages 275-286 views

Unexpected Features of the Intramolecular Spin Exchange in Imidazoline Nitroxide Biradicals Dissolved in Ionic Liquids

Kokorin A.I., Mladenova-Kattnig B.Y., Grigor’ev I.A., Grampp G.

Abstract

Three imidazoline-type nitroxide biradicals of the similar composition R5NO–CH=N–N=CH–R5N, B1, R5NO–CH=N–N=C(CH3)–R5N, B2, and R5N–C(CH3)=N–N=C(CH3)–R5N, B3, with R5N and R5NO denoting, respectively, the nitroxide rings 1-oxyl-2,2,5,5-tetramethyl-3-imidazoline and 1-oxyl-2,2,5,5-tetramethyl-3-N–oxide imidazoline, have been studied by X-band electron paramagnetic resonance (EPR) spectroscopy. Variations of the intramolecular electron spin exchange in these biradicals dissolved in ethanol and the room temperature ionic liquid bmimBF4 were characterized as a function of temperature by means of the analysis of the EPR lines shape. Thermodynamic parameters of the conformational rearrangements in ethanol were calculated. Analyzing the EPR spectra of these biradicals in bmimBF4, it was revealed that the two-conformational model does not describe their conformational transitions. Moreover, the observed EPR spectra are not central symmetric especially at low temperatures that cannot be described and explained in the framework of the current theory of the intramolecular spin exchange. Probable reasons of this “strange” behavior are discussed.

Applied Magnetic Resonance. 2017;48(3):287-296
pages 287-296 views

Validation of MRI-Based Fiber-Tracking Results

Il’yasov K.A., Konopleva L.V., Nedopekin O.V.

Abstract

A new approach to estimating the probability of the fiber-track existence has been developed and validated on the basis of digital phantoms and diffusion-weighted magnetic resonance imaging measurements on human brain. The proposed approach includes two parameters—the local probability of the tract direction and the Shannon entropy. The local probability of the tract direction characterizes how well tracts “fit” the direction information in a voxel. The Shannon entropy characterizes the shape of diffusivity in the voxel. Calculations on digital phantoms and in vivo data showed that the combination of these parameters makes it possible to verify fiber-tracking results.

Applied Magnetic Resonance. 2017;48(3):241-254
pages 241-254 views

Line Profile Measure as a Stopping Criterion in CG-SENSE Algorithm

Khan M., Aslam T., Shahzad H., Omer H.

Abstract

Conjugate gradient SENSE (CG-SENSE) is a parallel magnetic resonance imaging reconstruction algorithm which solves the inversion problem of SENSE iteratively. One major limitation of CG-SENSE is the appropriate choice of the number of iterations required for good reconstruction results. Fewer iterations result in aliasing artifacts and too many iterations result in an increased noise level. This paper proposes a novel method to define the stopping criterion of CG-SENSE algorithm which is based on the use of correlation measure between the line profiles of the reconstructed images in the current and the previous iterations. The results are compared with Bregman distance-stopping criterion. Artifact power and peak signal-to-noise ratio are used to quantify the quality of the reconstructed images. The results demonstrate that the line profile correlation measure acts as an effective stopping criterion in CG-SENSE.

Applied Magnetic Resonance. 2017;48(3):227-240
pages 227-240 views

Structural Phase Transition of Perovskite-Type N(CH3)4CdBr3 Studied by MAS NMR and Static NMR

Lim A.R.

Abstract

The structural geometry change in the perovskite-type N(CH3)4CdBr3 single crystal near the phase transition temperature of TC = 390 K was investigated using magic angle spinning nuclear magnetic resonance techniques. For 1H and 13C nuclei, the temperature dependences of their chemical shift, spectral intensity, and spin–lattice relaxation time (T) in the rotating frame were obtained and analyzed. While the chemical shift and T of 1H showed change near TC, those of 13C did not. In addition, the 113Cd spin–lattice relaxation time T1 in the laboratory frame near TC show no evidence of anomalous change near the phase transition temperature, which coincides with the measured changes in the 1H T. The driving force for this phase transition was connected to the 1H in the CH3 groups.

Applied Magnetic Resonance. 2017;48(3):297-305
pages 297-305 views

Mimicking the Electromagnetic Distribution in the Human Brain: A Multi-frequency MRI Head Phantom

Neves A.L., Leroi L., Cochinaire N., Abdeddaim R., Sabouroux P., Vignaud A.

Abstract

The purpose of this study was to fabricate and test a multi-frequency human brain-mimicking phantom for magnetic resonance imaging (MRI) assessment purposes. An anatomically realistic human head phantom was elaborated, for different Larmor frequencies, which allows rapid quantification of \({\text{B}}_{1}^{ + }\). It is a simple alternative solution in time and cost as compared to numerical simulations to validate simulation when the coil geometry and components cannot be known as a unique solution. The permittivity \(\varepsilon^{{\prime }}\) and conductivity \(\sigma\) of sucrose/salt/agar aqueous solutions of varying concentrations were determined; a solution with these components and having the adequate concentration to obtain the brain’s dielectric properties at 3, 7 and 11.7T was manufactured. An anthropomorphic polymeric skull was filled with this mixture. To check the behavior of this phantom in a MRI configuration, both numerical and experimental validations were done: a \({\text{B}}_{1}^{ + }\) field distribution inside the phantom was calculated with CST Microwave Studio inside a birdcage coil at 7T; the same mapping was assessed in a 7T MRI. The feasibility of a multi-MRI static field phantom was demonstrated. A solution composed by 54.7 wt% of sucrose, 3.1 wt% of salt and 3.1 wt% of agar was fabricated with good permittivity and conductivity matching for 3, 7 and 11.7T. The results were confirmed by both numerical simulation and MRI acquisition. This work has shown the possibility of manufacturing a head phantom with accessible and cheap components for MRI evaluation, having an adequate \({\text{B}}_{1}^{ + }\) field distribution and the dielectric properties of the human brain.

Applied Magnetic Resonance. 2017;48(3):213-226
pages 213-226 views

Relaxation Model and Mapping of Magnetic Field Gradients in MRI

Protopopov A.V.

Abstract

The purpose of the work is development of algorithms for separate mapping of T2 relaxation time and gradients, using gradient recalled echo (GRE) sequence. Application of three-dimensional (3D) model of gradients and their volumetric averaging within a voxel lead to analytical model of relaxation function, which is consistent with experimental data for both regular macroscopic and randomized micro- and mesoscopic gradients. The model is verified by fitting into experimental data obtained on specially made phantoms. Verification of algorithms is completed by comparing gradient maps obtained on specially made cylindrical phantoms with theoretical maps of their exact 3D electro-dynamic solutions. Analytical model of relaxation function proved to be in good agreement with experimental relaxation curves. On the basis of this model, fast and unambiguous fittingless algorithms were developed. Gradient maps measured on special cylindrical phantoms are in good qualitative agreement with theory. 3D statistical model and fittingless algorithms provide the basis for separating the GRE signal into two meaningful parameters—T2 and gradients, thus doubling information from magnetic resonance imaging.

Applied Magnetic Resonance. 2017;48(3):255-274
pages 255-274 views

A Degenerate Birdcage with Integrated Tx/Rx Switches and Butler Matrix for the Human Limbs at 7 T

Stara R., Tiberi G., Morsani F., Symms M., Fantacci M.E., Marletta M., Zampa V., Pendse M., Retico A., Rutt B.K., Tosetti M.

Abstract

The theoretically known degeneracy condition of the band-pass birdcage coil has rarely been exploited in transmit coil designs. We have created an eight-channel degenerate birdcage for the human limbs at 7 T, with dedicated Tx/Rx switches and a Butler matrix. The coil can be split into two half cylinders, as required for its application to patients with limited mobility. The design of the coil, the Butler matrix, and Tx/Rx switches relied on a combination of analytical, circuital, and numerical simulations. The birdcage theory was extended to the degenerate case. The theoretical and practical aspects of the design and construction of the coil are presented. The performance of the coil was demonstrated by simulations, workbench, and scanner measurements. The fully assembled prototype presents good performance in terms of efficiency, B1 homogeneity, and signal-to-noise ratio, despite the asymmetry introduced by the splittable design. The first in vivo images of the knee are also shown. A novel RF coil design consisting of an eight-channel splittable degenerate birdcage has been developed, and it is now available for 7 T MRI applications of the human lower limbs, including high-resolution imaging of the knee cartilages and of the patellar trabecular structure.

Applied Magnetic Resonance. 2017;48(3):307-326
pages 307-326 views

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