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Application of the maximum likelihood principle to separate exponential terms in T2 relaxation of nuclear magnetic resonance by T. Sandor; A.R. Bleier; P.W. Ruenzel; D.F. Adams; F.A. Jolesz is a Medicine article available to read on EtoBox.

What is Application of the maximum likelihood principle to separate exponential terms in T2 relaxation of nuclear magnetic resonance about?

The method of maximum likelihood has been implemented for the estimation of multiple exponential components of T2 decay curves in spin echo NMR measurements on biologic tissues. Each component contributes an exponential term described by two parameters (initial amplitude and T2) to the T2 decay curve. The maximum likelihood method estimates the parameters and their standard errors for all terms simultaneously, avoiding the subjectivity inherent in methods such as graphical peeling. In the model used, it was assumed that water protons are compartmentalized and that the measured spin echo signals from the protons undergoing relaxation obey the Poisson distribution. A system of non-linear equations was derived and solved iteratively for the values of the exponential parameters which maximize the likelihood of obtaining the observed data under these assumptions. The approach was implemented for bi-and triexponential models on a MicroVAX II computer (Digital Equipment Corporation, Maynard, MA). Simulations of bi-and tri-exponential data, with and without system noise, were analyzed to assess the accuracy and reproducibility of the method. A subset of the simulations was repeated with no

Who reads Application of the maximum likelihood principle to separate exponential terms in T2 relaxation of nuclear magnetic resonance?

Author

T. Sandor; A.R. Bleier; P.W. Ruenzel; D.F. Adams; F.A. Jolesz

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0730-725X)

Published

1988

Language

EN

Field

Medicine (Health Sciences)