TY - JOUR
T1 - Spectral Simulations Incorporating Gradient Coherence Selection
AU - Young, Karl
AU - Matson, Gerald B.
AU - Govindaraju, Varanavasi
AU - Maudsley, Andrew A.
N1 - Funding Information:
This work was supported by PHS Grant AG12119 (A.A.M.). We thank Dr. Scott Smith for his assistance in our implementation of GAMMA, and Dr. John Shriver for making available the Mathematica notebooks that provided the basis for the product operator calculations.
PY - 1999/9
Y1 - 1999/9
N2 - Computer-aided methods can considerably simplify the use of the product operator formalism for theoretical analysis of NMR phenomena, which otherwise becomes unwieldy for anything but simple spin systems and pulse sequences. In this report, two previously available programming approaches using symbolic algebra (J. Shriver, Concepts Magn. Reson. 4, 1-33, 1992) and numerical simulation using object-oriented programming (S. A. Smith, T. O. Levante, B. H. Meier, and R. R. Ernst, J. Magn. Reson. A 106, 75-105, 1994) have been extended to include the use of gradient operators for simulation of spatially localized NMR spectroscopy and gradient coherence selection. These methods are demonstrated using an analysis of the response of an AX3 spin system to the STEAM pulse sequence and verified with experi-mental measurements on lactate.
AB - Computer-aided methods can considerably simplify the use of the product operator formalism for theoretical analysis of NMR phenomena, which otherwise becomes unwieldy for anything but simple spin systems and pulse sequences. In this report, two previously available programming approaches using symbolic algebra (J. Shriver, Concepts Magn. Reson. 4, 1-33, 1992) and numerical simulation using object-oriented programming (S. A. Smith, T. O. Levante, B. H. Meier, and R. R. Ernst, J. Magn. Reson. A 106, 75-105, 1994) have been extended to include the use of gradient operators for simulation of spatially localized NMR spectroscopy and gradient coherence selection. These methods are demonstrated using an analysis of the response of an AX3 spin system to the STEAM pulse sequence and verified with experi-mental measurements on lactate.
KW - GAMMA
KW - Mathematica
KW - NMR
KW - Product operator formalism
KW - Spectral simulation
KW - STEAM
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U2 - 10.1006/jmre.1999.1809
DO - 10.1006/jmre.1999.1809
M3 - Article
C2 - 10479557
AN - SCOPUS:0033185618
VL - 140
SP - 146
EP - 152
JO - Journal of Magnetic Resonance
JF - Journal of Magnetic Resonance
SN - 1090-7807
IS - 1
ER -