A popular approach to the computational modeling
of ligand/receptor interactions is to use an empirical
free energy like model with adjustable parameters. Parameters
are learned from one set of complexes, then used to predict
another set. To improve these empirical methods requires
an independent way to study their inherent errors. We introduce
a toy model of ligand/receptor binding as a workbench for
testing such errors. We study the errors incurred from
the two state binding assumption—the assumption that
a ligand is either bound in one orientation, or unbound.
We find that the two state assumption can cause large errors
in free energy predictions, but it does not affect rank
order predictions significantly. We show that fitting parameters
using data from high affinity ligands can reduce two state
errors; so can using more physical models that do not use
the two state assumption. We also find that when using
two state models to predict free energies, errors are more
severe on high affinity ligands than low affinity ligands.
And we show that two state errors can be diagnosed by systematically
adding new binding modes when predicting free energies:
if predictions worsen as the modes are added, then the
two state assumption in the fitting step may be at fault.