Advertisement
Advertise here Publish your press releases here Sponsor BioPortfolio
Follow us on Twitter Sign up for daily news and research emails Contributors wanted

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

08:21 EDT 28th July 2014 | 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.

Affiliation

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
Pages:

Links

PubMed Articles [9534 Associated PubMed Articles listed on BioPortfolio]

Computationally Efficient Steady-State Solution of the Bloch Equations for Rapid Sinusoidal Scans Based on Fourier Expansion in Harmonics of the Scan Frequency.

Rapid-scan EPR has been shown to improve the signal-to-noise ratio relative to conventional continuous wave spectroscopy. Equations are derived for the steady-state solution to the Bloch equations as...

Some new traveling wave exact solutions of the (2+1)-dimensional boiti-leon-pempinelli equations.

We employ the complex method to obtain all meromorphic exact solutions of complex (2+1)-dimensional Boiti-Leon-Pempinelli equations (BLP system of equations). The idea introduced in this paper can be...

A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential Equations.

We use the fractional transformation to convert the nonlinear partial fractional differential equations with the nonlinear ordinary differential equations. The Exp-function method is extended to solve...

The convergence study of the homotopy analysis method for solving nonlinear volterra-fredholm integrodifferential equations.

We aim to study the convergence of the homotopy analysis method (HAM in short) for solving special nonlinear Volterra-Fredholm integrodifferential equations. The sufficient condition for the convergen...

On the Singular Perturbations for Fractional Differential Equation.

The goal of this paper is to examine the possible extension of the singular perturbation differential equation to the concept of fractional order derivative. To achieve this, we presented a review of...

Clinical Trials [1319 Associated Clinical Trials listed on BioPortfolio]

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...

Speckle Tracking in Pediatric Patients

An echocardiogram, also called a cardiac ultrasound or echo, is a medical test that takes pictures of the heart using sound waves. It shows images of the structures of the heart without us...

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.

Search BioPortfolio: