Stabilization of the inverse Laplace transform of multiexponential decay through introduction of a second dimension.

ABSTRACT: We propose a new approach to stabilizing the inverse Laplace transform of a multiexponential decay signal, a classically ill-posed problem, in the context of nuclear magnetic resonance relaxometry. The method is based on extension to a second, indirectly detected, dimension, that is, use of the established framework of two-dimensional relaxometry, followed by projection onto the desired axis. Numerical results for signals comprised of discrete T1 and T2 relaxation components and experiments performed on agarose gel phantoms are presented. We find markedly improved accuracy, and stability with respect to noise, as well as insensitivity to regularization in quantifying underlying relaxation components through use of the two-dimensional as compared to the one-dimensional inverse Laplace trans

SUBMITTER: Celik H 

PROVIDER: S-EPMC3818505 | biostudies-literature | 2013 Nov

REPOSITORIES: biostudies-literature