Denatured, unfolded, and intrinsically disordered proteins
(collectively
referred to here as unfolded proteins) can be described using analytical
polymer models. These models capture various polymeric properties
and can be fit to simulation results or experimental data. However,
the model parameters commonly require users’ decisions, making
them useful for data interpretation but less clearly applicable as
stand-alone reference models. Here we use all-atom simulations of
polypeptides in conjunction with polymer scaling theory to parameterize
an analytical model of unfolded polypeptides that behave as ideal
chains (ν = 0.50). The model, which we call the analytical Flory
random coil (AFRC), requires only the amino acid sequence as input
and provides direct access to probability distributions of global
and local conformational order parameters. The model defines a specific
reference state to which experimental and computational results can
be compared and normalized. As a proof-of-concept, we use the AFRC
to identify sequence-specific intramolecular interactions in simulations
of disordered proteins. We also use the AFRC to contextualize a curated
set of 145 different radii of gyration obtained from previously published
small-angle X-ray scattering experiments of disordered proteins. The
AFRC is implemented as a stand-alone software package and is also
available via a Google Colab notebook. In summary, the AFRC provides
a simple-to-use reference polymer model that can guide intuition and
aid in interpreting experimental or simulation results.