Exact solution to the Bloch equations and application to the Hahn echo.

03:53 EDT 30th August 2015 | BioPortfolio

Summary of "Exact solution to the Bloch equations and application to the Hahn echo."

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.


Department of Chemistry and Chemical Biology, McMaster University, 1280 Main St. W., Hamilton, Ontario, Canada L8S 4M1.

Journal Details

This article was published in the following journal.

Name: Journal of magnetic resonance (San Diego, Calif. : 1997)
ISSN: 1096-0856


PubMed Articles [10567 Associated PubMed Articles listed on BioPortfolio]

Bloch-Redfield equations for modeling light-harvesting complexes.

We challenge the misconception that Bloch-Redfield equations are a less powerful tool than phenomenological Lindblad equations for modeling exciton transport in photosynthetic complexes. This view pre...

Exact Correlation Functions in SU(2) N=2 Superconformal QCD.

We report an exact solution of 2- and 3-point functions of chiral primary fields in SU(2) N=2 super-Yang-Mills theory coupled to four hypermultiplets. It is shown that these correlation functions are ...

Analytical solution of cross polarization dynamics.

The first analytical solution under Hartman-Hahn match (ω1I=ω1S) for a stationary sample was derived by Müller et al. After the introduction of magic angle spinning (MAS), the dynamics becomes much...

T2 Quantification from Only Proton Density and T2-Weighted MRI by Modelling Actual Refocusing Angles.

Proton density and transverse relaxation (T2)-weighted fast spin echo images are frequently acquired. T2 quantification is commonly performed by applying an exponential fit to these two images, despit...

Myocardial T1 mapping at 3.0 tesla using an inversion recovery spoiled gradient echo readout and bloch equation simulation with slice profile correction (BLESSPC) T1 estimation algorithm.

To develop an accurate and precise myocardial T1 mapping technique using an inversion recovery spoiled gradient echo readout at 3.0 Tesla (T).

Clinical Trials [1670 Associated Clinical Trials listed on BioPortfolio]

A Phase 2 Study to Evaluate the Safety and Efficacy of CB-03-01 Solution, a Comparator Solution and Vehicle Solution in Males With Androgenetic Alopecia

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...

Tricuspid Regurgitation Study

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...

Measurement of Cerebral Oxygen Extraction Fraction Using MRI Technique

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...

To Determine the Effects of Deodorant, Antiperspirant and Washing on the Pharmacokinetics of 2% Testosterone MD Lotion

Testosterone replacement treatment is the most effective way of treating hypogonadism in men. Acrux has a propriety testosterone replacement product, Testosterone MD-Lotion and this ...

Safety and Efficacy Study of Bimatoprost to Treat Hypotrichosis of the Eyelashes After Application to the Eyelid Margin

This one-year study evaluates the long-term safety and effectiveness of bimatoprost solution application to the eyelid margin (where the eyelashes meet the skin) to treat hypotrichosis of ...

Medical and Biotech [MESH] Definitions

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.


Searches Linking to this Article