update kinetic formalism

git-svn-id: svn+ssh://hemlock.ucr.edu/srv/svn/misc/trunk/origins_of_life@523 25fa0111-c432-4dab-af88-9f31a2f6ac42

diff --git a/kinetic_formalism.Rnw b/kinetic_formalism.Rnw
index 8400db28d408d0733c5968d966df85803d32acd4..9e27187711b8e9f95681c0e76a7cf9596a192c82 100644 (file)
--- a/kinetic_formalism.Rnw
+++ b/kinetic_formalism.Rnw
@@ -323,7 +323,16 @@ into which the specie is entering:
 
 \subsubsection{Unsaturation Backward}
 
-The reverse rate of the reaction
+Unsaturation also influences the ability of a lipid molecule to leave
+a membrane. If a molecule has an unsaturation level which is different
+from the surrounding membrane, it will be more likely to leave the
+membrane. The more different the unsaturation level is, the greater
+the propensity for the lipid molecule to leave. Therefore, an equation
+with the shape
+$x^{\left|y^{-\left<un_\mathrm{ves}\right>}-y^{-un_\mathrm{monomer}}\right|}$
+where $\left<un_\mathrm{ves}\right>$ is the average unsaturation of
+the vesicle, and $un_\mathrm{monomer}$ is the average unsaturation. In
+this equation, as the average unsaturation of the vesicle is larger, 
 
 \begin{equation}
   un_b = 10^{\left|3.5^{-\left<un_\mathrm{ves}\right>}-3.5^{-un_\mathrm{monomer}}\right|}