Studying the thermodynamics of biochemical association reactions at th
e microscopic level requires efficient sampling of the configurations
of the reactants and solvent as a function of the reaction pathways. I
n most cases, the associating ligand and receptor have complementary i
nterlocking shapes. Upon association, loosely connected or disconnecte
d solvent cavities at and around the binding site are formed. Disconne
cted solvent regions lead to severe statistical sampling problems when
simulations are performed with explicit solvent. it was recently prop
osed that, when such limitations are encountered, they might be overco
me by the use of the grand canonical ensemble. Here we investigate one
such case and report the association free energy profile (potential o
f mean force) between trypsin and benzamidine along a chosen reaction
coordinate as calculated using the grand canonical Monte Carlo method.
The free energy profile is also calculated for a continuum solvent mo
del using the Poisson equation, and the results are compared to the ex
plicit water simulations. The comparison shows that the continuum solv
ent approach is surprisingly successful in reproducing the explicit so
lvent simulation results. The Monte Carlo results are analyzed in deta
il with respect to solvation structure. In the binding site channel th
ere are waters bridging the carbonyl oxygen groups of Asp-189 with the
NH2 groups of benzamidine, which are displaced upon inhibitor binding
. A similar solvent-bridging configuration has been seen in the crysta
l structure of trypsin complexed with bovine pancreatic trypsin inhibi
tor. The predicted locations of other internal waters are in very good
agreement with the positions found in the crystal structures, which s
upports the accuracy of the simulations.