Exchange-induced relaxation in the presence of a fictitious field

•A theory of exchange-induced relaxation in the presence of a fictitious field was derived.•The method can be generalized for description of relaxation in the rotating frames of rank n⩾3.•The derived expressions provide a means to analyze data from MRI experiments with the RAFFn method. In the prese...

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Veröffentlicht in:Journal of magnetic resonance (1997) 2014-08, Vol.245, p.12-16
Hauptverfasser: Sorce, Dennis J., Mangia, Silvia, Liimatainen, Timo, Garwood, Michael, Michaeli, Shalom
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container_end_page 16
container_issue
container_start_page 12
container_title Journal of magnetic resonance (1997)
container_volume 245
creator Sorce, Dennis J.
Mangia, Silvia
Liimatainen, Timo
Garwood, Michael
Michaeli, Shalom
description •A theory of exchange-induced relaxation in the presence of a fictitious field was derived.•The method can be generalized for description of relaxation in the rotating frames of rank n⩾3.•The derived expressions provide a means to analyze data from MRI experiments with the RAFFn method. In the present study we derive a solution for two site fast exchange-induced relaxation in the presence of a fictitious magnetic field as generated by amplitude and frequency modulated RF pulses. This solution provides a means to analyze data obtained from relaxation experiments with the method called RAFFn (Relaxation Along a Fictitious Field of rank n), in which a fictitious field is created in a coordinate frame undergoing multi-fold rotation about n axes (rank n). The RAFF2 technique is relevant to MRI relaxation methods that provide good contrast enhancement for tumor detection. The relaxation equations for n=2 are derived for the fast exchange regime using density matrix formalism. The method of derivation can be further extended to obtain solutions for n>2.
doi_str_mv 10.1016/j.jmr.2014.04.019
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subjects Algorithms
Amplitudes
Density
Derivation
Electromagnetic Fields
Exchange
Fictitious fields
Formalism
Frames
High rotating frames
Image Enhancement - methods
Image Interpretation, Computer-Assisted - methods
Magnetic fields
Magnetic Resonance Imaging - methods
Mathematical analysis
Relaxations
title Exchange-induced relaxation in the presence of a fictitious field
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