Author: bugman Date: Fri Oct 11 15:37:38 2013 New Revision: 21074 URL: http://svn.gna.org/viewcvs/relax?rev=21074&view=rev Log: Rearranged the 'Implemented models' subsection of the dispersion chapter of the manual. Modified: branches/relax_disp/docs/latex/dispersion.tex Modified: branches/relax_disp/docs/latex/dispersion.tex URL: http://svn.gna.org/viewcvs/relax/branches/relax_disp/docs/latex/dispersion.tex?rev=21074&r1=21073&r2=21074&view=diff ============================================================================== --- branches/relax_disp/docs/latex/dispersion.tex (original) +++ branches/relax_disp/docs/latex/dispersion.tex Fri Oct 11 15:37:38 2013 @@ -62,14 +62,21 @@ \subsection{Implemented models} \label{sect: dispersion: implemented models} -A number of analytic models are supported within relax. -If the model you are interested in is not available, see Section~\ref{sect: dispersion: model tutorial} on page~\pageref{sect: dispersion: model tutorial} for how new models can be added to relax. -The analytic models are dependant upon whether the data originates from a CPMG-type or $\Ronerho$-type experiment. -For the CPMG-type experiments, the models currently supported are: +A number of analytic and numeric models are supported within relax. +These cover CPMG-type, $\Ronerho$-type, and multi-quantum (MQ) CPMG-type experiments. +If the model you are interested in is not available, please see Section~\ref{sect: dispersion: model tutorial} on page~\pageref{sect: dispersion: model tutorial} for how you can add new models to relax. + +Models which are independent of the experiment type include: \begin{description} -\item[`R2eff':]\index{relaxation dispersion!R2eff model} This is the model used to determine the $\Rtwoeff$ values and errors required as the base data for all other models. See Section~\ref{sect: dispersion: R2eff model} on page~\pageref{sect: dispersion: R2eff model}. +\item[`R2eff':]\index{relaxation dispersion!R2eff model} This is the model used to determine the $\Rtwoeff$ or $\Ronerho$ values and errors required as the base data for all other models. See Section~\ref{sect: dispersion: R2eff model} on page~\pageref{sect: dispersion: R2eff model}. \item[`No Rex':]\index{relaxation dispersion!No Rex model} This is the model for no chemical exchange being present. See Section~\ref{sect: dispersion: No Rex model} on page~\pageref{sect: dispersion: No Rex model}. +\end{description} + + +For the CPMG-type experiments, the analytic models currently supported are: + +\begin{description} \item[`LM63':]\index{relaxation dispersion!LM63 model} The original \citet{LuzMeiboom63} 2-site fast exchange equation with parameters $\{\Rtwozero, \dots, \Phiex, \kex\}$. See Section~\ref{sect: dispersion: LM63 model} on page~\pageref{sect: dispersion: LM63 model}. \item[`LM63 3-site':]\index{relaxation dispersion!LM63 3-site model} The original \citet{LuzMeiboom63} 3-site fast exchange equation with parameters $\{\Rtwozero, \dots, \PhiexB, \kB, \PhiexC, \kC\}$. The equations of \citet{OConnell09} can be used to approximately convert the parameters $\{\PhiexB, \kB, \PhiexC, \kC\}$ to more biologically relevant parameters. See Section~\ref{sect: dispersion: LM63 3-site model} on page~\pageref{sect: dispersion: LM63 3-site model}. \item[`CR72':]\index{relaxation dispersion!CR72 model} The reduced \citet{CarverRichards72} 2-site equation for all time scales whereby the simplification $\RtwozeroA = \RtwozeroB$ is assumed. It has the parameters $\{\Rtwozero, \dots, \pA, \dw, \kex\}$. See Section~\ref{sect: dispersion: CR72 model} on page~\pageref{sect: dispersion: CR72 model}. @@ -79,25 +86,9 @@ Applicable in the limit of slow exchange, when $|\RtwozeroA - \RtwozeroB| \ll \kAB, \kBA \ll 1/\taucpmg$. $2*\taucpmg$ is the time between successive 180 degree pulses. Parameters are $\{\RtwozeroA, \dots, \dw, \kAB\}$. See Section~\ref{sect: dispersion: TSMFK01 model} on page~\pageref{sect: dispersion: TSMFK01 model}. \end{description} -For the $\Ronerho$-type experiment, the currently supported models are: +For the CPMG-type experiments, the numeric models currently supported are: \begin{description} -\item[`R2eff':]\index{relaxation dispersion!R2eff model} This is the same model model as for the CPMG-type experiments except that the $\Ronerho$ and not $\Rtwoeff$ values are determined. See Section~\ref{sect: dispersion: R2eff model} on page~\pageref{sect: dispersion: R2eff model}. -\item[`No Rex':]\index{relaxation dispersion!No Rex model} This is the model for no chemical exchange being present. See Section~\ref{sect: dispersion: No Rex model} on page~\pageref{sect: dispersion: No Rex model}. -\item[`M61':]\index{relaxation dispersion!M61 model} The \citet{Meiboom61} 2-site fast exchange equation for on-resonance data with parameters $\{\Ronerhoprime, \dots, \Phiex, \kex\}$. See Section~\ref{sect: dispersion: M61 model} on page~\pageref{sect: dispersion: M61 model}. -\item[`DPL94':]\index{relaxation dispersion!DPL94 model} The \citet{Davis94} 2-site fast exchange equation for off-resonance data with parameters $\{\Ronerhoprime, \dots, \Phiex, \kex\}$. See Section~\ref{sect: dispersion: DPL94 model} on page~\pageref{sect: dispersion: DPL94 model}. -\item[`M61 skew':]\index{relaxation dispersion!M61 skew model} The \citet{Meiboom61} 2-site equation for all time scales with $\pA \gg \pB$ and with parameters $\{\Ronerhoprime, \dots, \pA, \dw, \kex\}$. This model is disabled by default in the dispersion auto-analysis. See Section~\ref{sect: dispersion: M61 skew model} on page~\pageref{sect: dispersion: M61 skew model}. -\item[`TP02':]\index{relaxation dispersion!TP02 model} The \citet{TrottPalmer02} 2-site equation for all time scales with parameters $\{\Ronerhoprime, \dots, \pA, \dw, \kex\}$. See Section~\ref{sect: dispersion: TP02 model} on page~\pageref{sect: dispersion: TP02 model}. -\end{description} - - -Like the analytic models, a number of numerical models are supported within relax. -These models are also dependant upon whether the data originates from a CPMG-type or $\Ronerho$-type experiment. -For the CPMG-type experiments, the models currently supported are: - -\begin{description} -\item[`R2eff':]\index{relaxation dispersion!R2eff model} This is the model used to determine the $\Rtwoeff$ values and errors required as the base data for all other models. See Section~\ref{sect: dispersion: R2eff model} on page~\pageref{sect: dispersion: R2eff model}. -\item[`No Rex':]\index{relaxation dispersion!No Rex model} This is the model for no chemical exchange being present. See Section~\ref{sect: dispersion: No Rex model} on page~\pageref{sect: dispersion: No Rex model}. \item[`NS CPMG 2-site 3D':]\index{relaxation dispersion!NS CPMG 2-site 3D model} The reduced model for 2-site exchange using 3D magnetisation vectors whereby the simplification $\RtwozeroA = \RtwozeroB$ is assumed. It has the parameters $\{\Rtwozero, \dots, \pA, \dw, \kex\}$. See Section~\ref{sect: dispersion: NS CPMG 2-site 3D model} on page~\pageref{sect: dispersion: NS CPMG 2-site 3D model}. \item[`NS CPMG 2-site 3D full':]\index{relaxation dispersion!NS CPMG 2-site 3D full model} The full model for 2-site exchange using 3D magnetisation vectors with parameters $\{\RtwozeroA, \RtwozeroB, \dots, \pA, \dw, \kex\}$. See Section~\ref{sect: dispersion: NS CPMG 2-site 3D full model} on page~\pageref{sect: dispersion: NS CPMG 2-site 3D full model}. \item[`NS CPMG 2-site star':]\index{relaxation dispersion!NS CPMG 2-site star model} The reduced model for 2-site exchange using complex conjugate matrices whereby the simplification $\RtwozeroA = \RtwozeroB$ is assumed. It has the parameters $\{\Rtwozero, \dots, \pA, \dw, \kex\}$. See Section~\ref{sect: dispersion: NS CPMG 2-site star model} on page~\pageref{sect: dispersion: NS CPMG 2-site star model}. @@ -106,16 +97,21 @@ \end{description} -For the $\Ronerho$-type experiment, the models currently supported are: +For the $\Ronerho$-type experiments, the analytic models currently supported are: \begin{description} -\item[`R2eff':]\index{relaxation dispersion!R2eff model} This is the model used to determine the $\Rtwoeff$ values and errors required as the base data for all other models. See Section~\ref{sect: dispersion: R2eff model} on page~\pageref{sect: dispersion: R2eff model}. -\item[`No Rex':]\index{relaxation dispersion!No Rex model} This is the model for no chemical exchange being present. See Section~\ref{sect: dispersion: No Rex model} on page~\pageref{sect: dispersion: No Rex model}. +\item[`M61':]\index{relaxation dispersion!M61 model} The \citet{Meiboom61} 2-site fast exchange equation for on-resonance data with parameters $\{\Ronerhoprime, \dots, \Phiex, \kex\}$. See Section~\ref{sect: dispersion: M61 model} on page~\pageref{sect: dispersion: M61 model}. +\item[`DPL94':]\index{relaxation dispersion!DPL94 model} The \citet{Davis94} 2-site fast exchange equation for off-resonance data with parameters $\{\Ronerhoprime, \dots, \Phiex, \kex\}$. See Section~\ref{sect: dispersion: DPL94 model} on page~\pageref{sect: dispersion: DPL94 model}. +\item[`M61 skew':]\index{relaxation dispersion!M61 skew model} The \citet{Meiboom61} 2-site equation for all time scales with $\pA \gg \pB$ and with parameters $\{\Ronerhoprime, \dots, \pA, \dw, \kex\}$. This model is disabled by default in the dispersion auto-analysis. See Section~\ref{sect: dispersion: M61 skew model} on page~\pageref{sect: dispersion: M61 skew model}. +\item[`TP02':]\index{relaxation dispersion!TP02 model} The \citet{TrottPalmer02} 2-site equation for all time scales with parameters $\{\Ronerhoprime, \dots, \pA, \dw, \kex\}$. See Section~\ref{sect: dispersion: TP02 model} on page~\pageref{sect: dispersion: TP02 model}. +\end{description} + + +For the $\Ronerho$-type experiments, the numeric models currently supported are: + +\begin{description} \item[`NS R1rho 2-site':]\index{relaxation dispersion!NS R1rho 2-site model} The model for 2-site exchange using 3D magnetisation vectors. It has the parameters $\{\Ronerhoprime, \dots, \pA, \dw, \kex\}$. See Section~\ref{sect: dispersion: NS R1rho 2-site model} on page~\pageref{sect: dispersion: NS R1rho 2-site model}. \end{description} - - - % Dispersion model summary.