5/13/2011
Here I perform derivations of analytical or numeric expressions for all multi-state systems. A number of models were developed previously in EKM16. I copy those derivations here. I always try to reach analytical solution for equilibrium concentrations. When it is not possible I develop expression for numerical solution. After derivations are performed I do 'common sense' testing of the models---try to produce predictable behavior of the population graphs in a titration, etc.
Location: Mathematical_models/Equilibrium_thermodynamic_models.
Summary of simple models: Models.pdf
NOTE: For models that are solved numerically---keep L/R>=0.01, otherwise numeric solutions are unstable! Same applies to values of constants if you want to 'turn off' a specific transition: make them small but not too small!