Beta-lactoglobulin (BLG), a bovine dairy protein, is a promiscuously
interacting protein that can bind multiple hydrophobic ligands. Fatty acids
(FAs), common hydrophobic molecules bound to BLG, are important sources of fuel
for life because they yield large quantities of ATP when metabolized. The
binding affinity increases with the length of the ligands, indicating the
importance of the van der Waals (vdW) interactions between the hydrocarbon tail
and the hydrophobic calyx of BLG. An exception to this rule is caprylic acid
(OCA) which is two-carbon shorter but has a stronger binding affinity than
capric acid. Theoretical calculations in the current literature are not accurate
enough to shed light on the underlying physics of this exception. The computed
affinity values are greater for longer fatty acids without respect for the
caprylic exception and those values are generally several orders of magnitude
away from the experimental data. In this work, we used hybrid steered molecular
dynamics to accurately compute the binding free energies between BLG and the
five saturated FAs of 8 to 16 carbon atoms. The computed binding free energies
agree well with experimental data not only in rank but also in absolute values.
We gained insights into the exceptional behavior of caprylic acid in the
computed values of entropy and electrostatic interactions. We found that the
electrostatic interaction between the carboxyl group of caprylic acid and the
two amino groups of K60/69 in BLG is much stronger than the vdW force between
OCA’s hydrophobic tail and the BLG calyx. This pulls OCA to the top of
the beta barrel where it is easier to fluctuate, giving rise to greater entropy
of OCA at the binding site.