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The exact symbolic solution of the Bloch equations is given in the Lagrange form and illustrated with R(2) experiments using a Hahn echo. Two different methods are also applied to approximately solve the Bloch equations, we find that splittings with effective-field interpretations are very substantially better than other approximations by comparing the errors. Estimates of transverse relaxation, R(2), from Hahn echos are effected by frequency offset and field inhomogeneity. We use exact solutions of the Bloch equations and simulations to quantify both effects, and find that even in the presence of expected B(0) inhomogeneity, off-resonance effects can be removed from R(2) measurements, when parallelomega parallel0.5gammaB(1), by fitting the exact solutions of the Bloch equations. Further, the experiments and simulations show that the fitting models with the exact solutions of the Bloch equations do not depend on the sampling density and delay times.
This article was published in the following journal.
Name: Journal of magnetic resonance (San Diego, Calif. : 1997)
Although tightly focused intense ultrashort laser pulses are used in many applications from nano-processing to warm dense matter physics, their nonparaxial propagation implies the use of numerical sim...
This paper presents a discrete-time recurrent neural network approach to solving systems of linear equations with two features. First, the system of linear equations may not have a unique solution. Se...
To qualitatively compare a 2D single-shot turbo-spin-echo (ssTSE) diffusion-weighted imaging MRI technique with a spin-echo echo-planar imaging (SE-EPI) approach in pediatric neuroimaging.
To propose and evaluate a parameter tune-up solution to expedite a three-dimensional (3D) variable-flip-angle turbo spin-echo (TSE) sequence for whole-brain intracranial vessel wall (IVW) imaging.
We present an analytical solution of the Bloch-Torrey equation for local spin dephasing in the magnetic dipole field around a capillary and for ensembles of capillaries, and adapt this solution for th...
In this proof-of-concept study, the safety and efficacy of a solution formulation will be investigated in male subjects with androgenetic alopecia (AGA) after twice daily application for u...
The effect of cardiac pacing leads on tricuspid regurgitation is unclear. This study will determine whether using a smaller diameter leads and an alternate position in the ventricle, the p...
All images in this study were acquired on a 1.5 T Sonata whole body scanner (Siemens Medical Inc., Erlangen, Germany) using 2D multi-echo gradient echo/spin echo sequence and 2D single-sho...
Resting state functional MRI is widely used for studying brain functional networks. However, in-scanner head movement and other non-neuronal noise can disproportionately bias connectivity ...
This Phase 2 study (Study 203) has been designed to determine and compare the efficacy and safety of 188-0551 Solution and Vehicle Solution applied twice daily for up to four weeks in subj...
Hypertonic sodium chloride solution. A solution having an osmotic pressure greater than that of physiologic salt solution (0.9 g NaCl in 100 ml purified water).
The application of technology to the solution of medical problems.
The application of mathematical formulas and statistical techniques to the testing and quantifying of economic theories and the solution of economic problems.
The pressure required to prevent the passage of solvent through a semipermeable membrane that separates a pure solvent from a solution of the solvent and solute or that separates different concentrations of a solution. It is proportional to the osmolality of the solution.
Solution that is usually 10 percent glucose but may be higher. An isotonic solution of glucose is 5 percent.