The aspartyl dyad of free HIV-1 protease has apparent
pKas of ∼3 and ∼6,
but recent NMR studies indicate that the aspartyl dyad
is fixed in the doubly protonated form over a wide pH
range when cyclic urea inhibitors are bound, and in
the monoprotonated form when the inhibitor KNI-272 is
bound. We present computations and measurements related
to these changes in protonation and to the thermodynamic
linkage between protonation and inhibition. The Poisson–Boltzmann
model of electrostatics is used to compute the apparent
pKas of the aspartyl dyad in the free
enzyme and in complexes with four different inhibitors.
The calculations are done with two parameter sets. One
assigns ε = 4 to the solute interior and uses a detailed
model of ionization; the other uses ε = 20 for the
solute interior and a simplified representation of ionization.
For the free enzyme, both parameter sets agree well with
previously measured apparent pKas of
∼3 and ∼6. However, the calculations with an internal
dielectric constant of 4 reproduce the large pKa
shifts upon binding of inhibitors, but the calculations
with an internal dielectric constant of 20 do not. This
observation has implications for the accurate calculation
of pKas in complex protein environments.
Because binding of a cyclic urea inhibitor shifts the
pKas of the aspartyl dyad, changing the
pH is expected to change its apparent binding affinity.
However, we find experimentally that the affinity is
independent of pH from 5.5 to 7.0. Possible explanations
for this discrepancy are discussed.