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Quantitative Two‐Dimensional time Correlation Relaxometry
Author(s) -
English A. E.,
Whittall K. P.,
Joy M. L. G.,
Henkelman R. M.
Publication year - 1991
Publication title -
magnetic resonance in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.696
H-Index - 225
eISSN - 1522-2594
pISSN - 0740-3194
DOI - 10.1002/mrm.1910220250
Subject(s) - relaxometry , exponential function , a priori and a posteriori , relaxation (psychology) , inverse , correlation , mathematics , inverse problem , nuclear magnetic resonance , computer science , algorithm , mathematical analysis , physics , magnetic resonance imaging , medicine , spin echo , geometry , philosophy , epistemology , radiology
An experimental and analytical method is presented for obtaining two‐dimensional NMR time correlation spectra of T 1 and ( T 2 and T 2 ) exponential relaxation in heterogeneous samples. The numerical algorithms used in this study do not bias the solution by any a priori assumptions as to the number of required components. The constraints used to overcome the ill‐posed and ill‐conditioned nature of this inverse problem are also described. With this method, the correlations of T 1 (or T 1 ) and T 2 exponential components in systems of nonexchanging standards and rat muscle tissues are obtained. © 1991 Academic Press, Inc.