Much computational research aimed at understanding
ionizable group interactions in proteins has focused on
numerical solutions of the Poisson–Boltzmann (PB)
equation, incorporating protein exclusion zones for solvent
and counterions in a continuum model. Poor agreement with
measured pKas and pH-dependent stabilities
for a (protein, solvent) relative dielectric boundary of
(4,80) has lead to the adoption of an intermediate (20,80)
boundary. It is now shown that a simple Debye–Hückel
(DH) calculation, removing both the low dielectric and
counterion exclusion regions associated with protein, is
equally effective in general pKa calculations.
However, a broad-based discrepancy to measured pH-dependent
stabilities is maintained in the absence of ionizable group
interactions in the unfolded state. A simple model is introduced
for these interactions, with a significantly improved match
to experiment that suggests a potential utility in predicting
and analyzing the acid pH-dependence of protein stability.
The methods are applied to the relative pH-dependent stabilities
of the pore-forming domains of colicins A and N. The results
relate generally to the well-known preponderance of surface
ionizable groups with solvent-mediated interactions. Although
numerical PB solutions do not currently have a significant
advantage for overall pKa estimations,
development based on consideration of microscopic solvation
energetics in tandem with the continuum model could combine
the large ΔpKas of a subset of
ionizable groups with the overall robustness of the DH
model.