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Posted by edward on February 25, 2014 - 17:54:
Author: bugman
Date: Tue Feb 25 17:54:57 2014
New Revision: 22317

URL: http://svn.gna.org/viewcvs/relax?rev=22317&view=rev
Log:
Completed the tutorial for using the dispersion analysis in the GUI.

This is for the relaxation dispersion chapter of the manual.


Modified:
    trunk/docs/latex/dispersion.tex

Modified: trunk/docs/latex/dispersion.tex
URL: 
http://svn.gna.org/viewcvs/relax/trunk/docs/latex/dispersion.tex?rev=22317&r1=22316&r2=22317&view=diff
==============================================================================
--- trunk/docs/latex/dispersion.tex (original)
+++ trunk/docs/latex/dispersion.tex Tue Feb 25 17:54:57 2014
@@ -2598,10 +2598,6 @@
 
 \example{\$ relax --help}
 
-In this example, Gary Thompson's multiprocessor framework (see 
section~\ref{sect: Relaxation dispersion using OpenMPI} on 
page~\pageref{sect: Relaxation dispersion using OpenMPI}) will be used with 
OpenMPI on a single four-core, hyper-threaded computer with the command:
-
-\example{\$ mpirun -np 8 /data/relax/relax-trunk/relax --multi='mpi4py' 
--log $\sim$/tmp/dispersion/log\_non\_clustered --gui}
-
 
 % Two analyses.
 %~~~~~~~~~~~~~~
@@ -2614,6 +2610,13 @@
     This will use model selection to determine if any statistically 
significant relaxation dispersion is present by comparing to the `No Rex' 
dispersion model.
   \item The second analysis will consists of clustering spins with similar 
kinetics and thermodynamics parameters (exchange rates and populations 
respectively) and optimising these clusters using a common set of exchange 
parameters.
 \end{itemize}
+
+In this example, Gary Thompson's multiprocessor framework (see 
section~\ref{sect: Relaxation dispersion using OpenMPI} on 
page~\pageref{sect: Relaxation dispersion using OpenMPI}) will be used with 
OpenMPI on a single four-core, hyper-threaded computer with the command:
+
+\example{\$ mpirun -np 8 /data/relax/relax-trunk/relax --multi='mpi4py' 
--log $\sim$/tmp/dispersion/log\_non\_clustered --gui}
+
+A different command will be used for the clustered analysis to store the log 
messages in a separate file.
+The logs will be used in the end to compare the two analysis types.
 
 
 % Initialisation of the data pipe.
@@ -2975,7 +2978,7 @@
 Change the frequency to 800.0 MHz and continue for the next set of matching 
spectrum IDs.
 Finally click on \guibutton{Next} to move to the next wizard page.
 If you have not used the exact values from the files, the relax controller 
window will appear with the warning:
-\begin{lstlisting}[numbers=none]
+\begin{lstlisting}[language=relax_log,numbers=none]
 relax> spectrometer.frequency(id='500_reference', frq=500.0, units='MHz')
 RelaxWarning: The precise spectrometer frequency should be suppled, a value 
such as 500000000 or 5e8 for a 500 MHz machine is not acceptable.  Please see 
the 'sfrq' parameter in the Varian procpar file or the 'SFO1' parameter in 
the Bruker acqus file.
 \end{lstlisting}
@@ -3138,7 +3141,7 @@
 Firstly, to see which models have been chosen for the spin systems and which 
have no statistically significant dispersion, find the \file{model.out} file 
and double click on it.
 You should see the following:
 
-\begin{lstlisting}[basicstyle=\scriptsize,numbers=none]
+\begin{lstlisting}[basicstyle=\ttfamily \scriptsize,numbers=none]
 # Parameter description:  The dispersion model.
 #
 # mol_name    res_num    res_name    spin_num    spin_name    value          
              error    
@@ -3255,7 +3258,7 @@
 To improve the appearance of this plot, please refer to the Grace software 
documentation.
 
 
-% comparing models.
+% Comparing models.
 %~~~~~~~~~~~~~~~~~~
 
 \subsection{Dispersion GUI mode -- comparing models}
@@ -3283,10 +3286,17 @@
 
 \subsection{Dispersion GUI mode -- the clustered analysis}
 
+Before this second analysis will be performed, the relax state will be saved 
in the file \file{state.bz2} and the program closed.
+Then to store the details of the second analysis, relax will be restarted 
with the command:
+
+\example{\$ mpirun -np 8 /data/relax/relax-trunk/relax --multi='mpi4py' 
--log $\sim$/tmp/dispersion/log\_clustered --gui}
+
+When the GUI has started, load the \file{state.bz2} file.
+
 For the clustered analysis, we will focus on one group of spins -- those 
from residues 59 to 67.
 These can be seen to have very similar dynamics:
 
-\begin{lstlisting}[basicstyle=\scriptsize,numbers=none]
+\begin{lstlisting}[basicstyle=\ttfamily \scriptsize,numbers=none]
 # Parameter description:  The population for state A.
 #
 # mol_name  res_num  res_name  spin_num  spin_name  value                 
error                   
@@ -3303,7 +3313,7 @@
 [snip]
 \end{lstlisting}
 
-\begin{lstlisting}[basicstyle=\scriptsize,numbers=none]
+\begin{lstlisting}[basicstyle=\ttfamily \scriptsize,numbers=none]
 # Parameter description:  The exchange rate.
 #
 # mol_name  res_num  res_name  spin_num  spin_name  value                 
error                   
@@ -3323,7 +3333,7 @@
 All other spins will be deselected.
 
 From the non-clustered results, it could be argued that all spins in the 
entire system experience the same dynamic process, i.e. have the same $\pA$ 
and $\kex$ values.
-Such an analysis could be performed at a later stage.
+Such an analysis could be performed at a later stage if desired.
 
 To start the analysis, open the analysis selection wizard as was performed 
previously.
 Name the analysis as `Dispersion - Hansen (clustered :59 to :67)'.
@@ -3368,5 +3378,123 @@
 \end{minipage}
 
 Start the analysis by clicking on the \guibutton{Execute} button.
-
-
+You should notice that the spin cluster printout in the log messages in the 
relax controller window now show the text:
+
+\begin{lstlisting}[numbers=none]
+The spin cluster [':59', ':60', ':61', ':62', ':63', ':64', ':65', ':66', 
':67'].
+\end{lstlisting}
+
+As residue 60 is deselected, it will not be used in the optimisation or any 
part of the analysis.
+The full analysis should take a few hours to complete.
+
+
+% Comparison of the analyses.
+%~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+\subsection{Dispersion GUI mode -- comparison of the analyses}
+
+To statistically compare the non-clustered and clustered analyses, the 
advanced Akaike's Information Criterion (AIC) as derived in 
\cite{dAuvergneGooley03} can be used.
+This information is stored within the recorded log files.
+Open the \file{$\sim$/tmp/dispersion/log\_non\_clustered} file and search 
for the model selection section.
+The text for residues 59 to 67 should be:
+\begin{lstlisting}[basicstyle=\ttfamily 
\tiny,language=relax_log,numbers=none]
+The spin cluster [':59@N'].
+# Data pipe                                                        
Num_params_(k)    Num_data_sets_(n)    Chi2          Criterion     
+No Rex - relax_disp (Mon Feb 17 18:00:16 2014)                     2         
        31                   1886.14016    1890.14016    
+CR72 - relax_disp (Mon Feb 17 18:00:16 2014)                       5         
        31                   32.15110      42.15110      
+NS CPMG 2-site expanded - relax_disp (Mon Feb 17 18:00:16 2014)    5         
        31                   32.61624      42.61624      
+The model from the data pipe 'CR72 - relax_disp (Mon Feb 17 18:00:16 2014)' 
has been selected.
+
+
+The spin cluster [':60@N'].
+# Data pipe                                            Num_params_(k)    
Num_data_sets_(n)    Chi2          Criterion     
+No Rex - relax_disp (Mon Feb 17 18:00:16 2014)         2                 31  
                 3240.49312    3244.49312    
+The model from the data pipe 'No Rex - relax_disp (Mon Feb 17 18:00:16 
2014)' has been selected.
+
+
+The spin cluster [':61@N'].
+# Data pipe                                                        
Num_params_(k)    Num_data_sets_(n)    Chi2           Criterion      
+No Rex - relax_disp (Mon Feb 17 18:00:16 2014)                     2         
        31                   17285.66217    17289.66217    
+CR72 - relax_disp (Mon Feb 17 18:00:16 2014)                       5         
        31                   95.95234       105.95234      
+NS CPMG 2-site expanded - relax_disp (Mon Feb 17 18:00:16 2014)    5         
        31                   92.56628       102.56628      
+The model from the data pipe 'NS CPMG 2-site expanded - relax_disp (Mon Feb 
17 18:00:16 2014)' has been selected.
+
+
+The spin cluster [':62@N'].
+# Data pipe                                                        
Num_params_(k)    Num_data_sets_(n)    Chi2         Criterion    
+No Rex - relax_disp (Mon Feb 17 18:00:16 2014)                     2         
        31                   851.74421    855.74421    
+NS CPMG 2-site expanded - relax_disp (Mon Feb 17 18:00:16 2014)    5         
        31                   31.48142     41.48142     
+The model from the data pipe 'NS CPMG 2-site expanded - relax_disp (Mon Feb 
17 18:00:16 2014)' has been selected.
+
+
+The spin cluster [':63@N'].
+# Data pipe                                                        
Num_params_(k)    Num_data_sets_(n)    Chi2          Criterion     
+No Rex - relax_disp (Mon Feb 17 18:00:16 2014)                     2         
        31                   6452.87623    6456.87623    
+CR72 - relax_disp (Mon Feb 17 18:00:16 2014)                       5         
        31                   61.70881      71.70881      
+NS CPMG 2-site expanded - relax_disp (Mon Feb 17 18:00:16 2014)    5         
        31                   63.14294      73.14294      
+The model from the data pipe 'CR72 - relax_disp (Mon Feb 17 18:00:16 2014)' 
has been selected.
+
+
+The spin cluster [':64@N'].
+# Data pipe                                                        
Num_params_(k)    Num_data_sets_(n)    Chi2           Criterion      
+No Rex - relax_disp (Mon Feb 17 18:00:16 2014)                     2         
        31                   16028.66123    16032.66123    
+CR72 - relax_disp (Mon Feb 17 18:00:16 2014)                       5         
        31                   29.25973       39.25973       
+NS CPMG 2-site expanded - relax_disp (Mon Feb 17 18:00:16 2014)    5         
        31                   30.24274       40.24274       
+The model from the data pipe 'CR72 - relax_disp (Mon Feb 17 18:00:16 2014)' 
has been selected.
+
+
+The spin cluster [':65@N'].
+# Data pipe                                                        
Num_params_(k)    Num_data_sets_(n)    Chi2          Criterion     
+No Rex - relax_disp (Mon Feb 17 18:00:16 2014)                     2         
        31                   2997.14849    3001.14849    
+CR72 - relax_disp (Mon Feb 17 18:00:16 2014)                       5         
        31                   37.54956      47.54956      
+NS CPMG 2-site expanded - relax_disp (Mon Feb 17 18:00:16 2014)    5         
        31                   38.74910      48.74910      
+The model from the data pipe 'CR72 - relax_disp (Mon Feb 17 18:00:16 2014)' 
has been selected.
+
+
+The spin cluster [':66@N'].
+# Data pipe                                                        
Num_params_(k)    Num_data_sets_(n)    Chi2          Criterion     
+No Rex - relax_disp (Mon Feb 17 18:00:16 2014)                     2         
        31                   1129.05612    1133.05612    
+CR72 - relax_disp (Mon Feb 17 18:00:16 2014)                       5         
        31                   15.81233      25.81233      
+NS CPMG 2-site expanded - relax_disp (Mon Feb 17 18:00:16 2014)    5         
        31                   15.79713      25.79713      
+The model from the data pipe 'NS CPMG 2-site expanded - relax_disp (Mon Feb 
17 18:00:16 2014)' has been selected.
+
+
+The spin cluster [':67@N'].
+# Data pipe                                                        
Num_params_(k)    Num_data_sets_(n)    Chi2           Criterion      
+No Rex - relax_disp (Mon Feb 17 18:00:16 2014)                     2         
        31                   18252.93240    18256.93240    
+CR72 - relax_disp (Mon Feb 17 18:00:16 2014)                       5         
        31                   120.14948      130.14948      
+NS CPMG 2-site expanded - relax_disp (Mon Feb 17 18:00:16 2014)    5         
        31                   113.41542      123.41542      
+The model from the data pipe 'NS CPMG 2-site expanded - relax_disp (Mon Feb 
17 18:00:16 2014)' has been selected.
+\end{lstlisting}
+
+For the log file from the clustered analysis (the 
\file{$\sim$/tmp/dispersion/log\_clustered} file), the text should be as 
follows:
+\begin{lstlisting}[basicstyle=\ttfamily 
\tiny,language=relax_log,numbers=none]
+The spin cluster [':59', ':60', ':61', ':62', ':63', ':64', ':65', ':66', 
':67'].
+# Data pipe                                                        
Num_params_(k)    Num_data_sets_(n)    Chi2           Criterion      
+No Rex - relax_disp (Sun Feb 23 19:36:51 2014)                     16        
        240                  56914.82514    56946.82514    
+NS CPMG 2-site expanded - relax_disp (Sun Feb 23 19:36:51 2014)    26        
        240                  510.96553      562.96553      
+The model from the data pipe 'NS CPMG 2-site expanded - relax_disp (Sun Feb 
23 19:36:51 2014)' has been selected.
+\end{lstlisting}
+
+The numbers for the `NS CPMG 2-site expanded' model can be directly compared.
+This is because the parameter number, data set number, chi-squared value and 
AIC value (labelled as `Criterion' in the logs) can be summed for the 
non-clustered analysis and then compared to the clustered values.
+
+\begin{center}
+\begin{tabular}{lllll}
+\toprule
+
+Analysis        & Parameter     & Data set      & Chi-squared   & AIC value 
\\
+                & number (k)    & number (n)    & value \\
+
+\midrule
+
+Non-clustered   & 40            & 248           & 418.011       & 498.011 \\
+Clustered       & 26            & 240           & 510.966       & 562.966 \\
+
+\bottomrule
+\end{tabular}
+\end{center}
+
+As the Akaike Information Criterion value is much less for the non-clustered 
analysis, then this result is the most parsimonious (the closest to Occam's 
razor as defined in frequentist statistics).
+Therefore the non-clustered analysis is a statistically better description 
of the experimental data.
+If the assumptions of the same dynamics for all spins (both populations 
$\pA$ and exchange rates $\kex$) is correct, the results of the clustered 
analysis are nevertheless useful as it can decrease parameter uncertainty.




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