NS CPMG 2-site 3D
Intro
The relaxation dispersion model for the numeric solution (NS) to the Bloch-McConnell equations for SQ CPMG-type data using 3D magnetisation vectors whereby the simplification $R^0_{2A} = R^0_{2B}$ is assumed. The model is labelled as NS CPMG 2-site 3D in relax.
Parameters
The NS CPMG 2-site 3D model has the parameters {$R_2^0$, $...$, $p_A$, $\Delta\omega$, $k_{ex}$}.
References
The function uses an explicit matrix that contains relaxation, exchange and chemical shift terms. It does the 180deg pulses in the CPMG train. The approach of Bloch-McConnell can be found in chapter 3.1 of Palmer, A. G. Chem Rev 2004, 104, 3623-3640. This function was written, initially in MATLAB, in 2010.
This is the model of the numerical solution for the 2-site Bloch-McConnell equations. It originates as optimization function number 1 from the fitting_main_kex.py script from Mathilde Lescanne, Paul Schanda, and Dominique Marion (see U{http://thread.gmane.org/gmane.science.nmr.relax.devel/4138}, U{https://gna.org/task/?7712#comment2} and U{https://gna.org/support/download.php?file_id=18262}).
Related models
The NS CPMG 2-site 3D model is a parametric restriction of the NS CPMG 2-site 3D full model.
Links
The implementation of the NS CPMG 2-site 3D model in relax can be seen in the: