r25027 - /trunk/docs/latex/dispersion.tex -- August 15, 2014 - 15:11

Author: tlinnet
Date: Fri Aug 15 15:11:09 2014
New Revision: 25027

URL: http://svn.gna.org/viewcvs/relax?rev=25027&view=rev
Log:
Modification to the relax manual, regarding the Linear Constraints for the 
exchange rate.

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=25027&r1=25026&r2=25027&view=diff
==============================================================================
--- trunk/docs/latex/dispersion.tex     (original)
+++ trunk/docs/latex/dispersion.tex     Fri Aug 15 15:11:09 2014
@@ -1952,7 +1952,10 @@
     \end{pmatrix},
 \end{equation}
 
-and for the exchange rate and time parameters as
+Reasonable limits for the exchange rate can be found in \citet[p. 
224]{PalmerKroenkeLoria01}.
+``In most cases of practical interest, CPMG experiments in proteins will be 
applicable to chemical exchange processes with values of $kex < 1e^4$ 
\ldots''.
+``$\Ronerho$ experiments will be limited to values of $kex < 1e5$, or 
approximately an order of magnitude faster than CPMG experiments.''
+The linear constraints for exchange rate is therefore set dependent on 
experiment type, and is set to
 \begin{equation}
     \begin{pmatrix}
          1 & 0 & 0 & 0 & 0 & 0 & 0 \\
@@ -1982,17 +1985,17 @@
     \geqslant
     \begin{pmatrix}
         0 \\
-        -2e^6 \\
+        -1e^4 / -1e^5 \\
         0 \\
-        -2e^6 \\
+        -1e^4 / -1e^5 \\
         0 \\
-        -2e^6 \\
+        -1e^4 / -1e^5 \\
         0 \\
-        -2e^6 \\
+        -1e^4 \\
         0 \\
-        -2e^6 \\
+        -1e^4 \\
         0 \\
-        -2e^6 \\
+        -1e^4 \\
         0 \\
     \end{pmatrix}.
 \end{equation}
@@ -2017,12 +2020,12 @@
     0 \leqslant \pB \leqslant \pA, \\
     0 \leqslant \pC \leqslant \pA, \\
     \pA \geqslant 0.85 \quad (\textrm{the skewed condition, } \pA \gg \pB), 
\\
-    0 \leqslant \kex \leqslant 2e^6, \\
-    0 \leqslant \kexAB \leqslant 2e^6, \\
-    0 \leqslant \kexBC \leqslant 2e^6, \\
-    0 \leqslant \kA \leqslant 2e^6, \\
-    0 \leqslant \kB \leqslant 2e^6, \\
-    0 \leqslant \kAB \leqslant 2e^6, \\
+    0 \leqslant \kex \leqslant 1e^4 / 1e^5, \\
+    0 \leqslant \kexAB \leqslant 1e^4 / 1e^5, \\
+    0 \leqslant \kexBC \leqslant 1e^4 / 1e^5, \\
+    0 \leqslant \kA \leqslant 1e^4, \\
+    0 \leqslant \kB \leqslant 1e^4, \\
+    0 \leqslant \kAB \leqslant 1e^4, \\
     \tex \geqslant 0.
 \end{gather} 
 \end{subequations}