Fast computation of full density matrix of multispin systems for spatially localized in vivo magnetic resonance spectroscopy.

ABSTRACT:

Purpose

Numerical simulations of three-dimensionally localized MRS spectra have been very time consuming for multispin systems because the current state-of-the-art method requires computation of a large ensemble of spins pixel-by-pixel in three dimensional space. This paper describes a highly accelerated technique for computing spatially localized MRS spectra using the full solution to the Liouville-von Neumann equation.

Methods

The time evolution of spatially localized multispin density matrix as the full solution to the Liouville-von Neumann equation was analyzed. A new technique based on one dimensional spatial projection of the full density matrix was proposed. This method was implemented using a computer program written in Java language.

Results

The MRS spectra c

SUBMITTER: Zhang Y 

PROVIDER: S-EPMC5578626 | biostudies-literature | 2017 Aug

REPOSITORIES: biostudies-literature