The design of new HIV protease inhibitors requires an improved understandin
g of the physical basis of inhibitor/protein binding. Here, the binding aff
inities of seven aliphatic cyclic ureas to HIV-1 protease are calculated us
ing a predominant states method and an implicit solvent model based upon fi
nite difference solutions of the Poisson-Boltzmann equation. The calculatio
ns are able to reproduce the observed U-shaped trend of binding free energy
as a function of aliphatic chain length. Interestingly, the decrease in af
finity for the longest chains is attributable primarily to the energy cost
of partly desolvating charged aspartic and arginine groups at the mouths of
the active site. Even aliphatic chains too short to contact these charged
groups directly are subject to considerable desolvation penalties. We are n
ot aware of other systems where binding affinity trends have been attribute
d to long-ranged electrostatic desolvation of ionized groups. A generalized
Born/surface area solvation model yields a much smaller change in desolvat
ion energy with chain length and, therefore, does not reproduce the experim
ental binding affinity trends. This result suggests that the generalized Bo
rn model should be used with caution for complex, partly desolvated systems
like protein binding sites. We also find that changing the assumed protona
tion state of the active site aspartyl dyad significantly affects the compu
ted binding affinity trends. The protonation state of the aspartyl dyad in
the presence of cyclic ureas is discussed in light of the observation that
the monoprotonated state reproduces the experimental results best. (C) 2001
Academic Press.