Mutation is a critical mechanism by which evolution explores the functional
landscape of proteins. Despite our ability to experimentally inflict mutations
at will, it remains difficult to link sequence-level perturbations to
systems-level responses. Here, we present a framework centered on measuring
changes in the free energy of the system to link individual mutations in an
allosteric transcriptional repressor to the parameters which govern its
response. We find the energetic effects of the mutations can be categorized
into several classes which have characteristic curves as a function of the
inducer concentration. We experimentally test these diagnostic predictions
using the well-characterized LacI repressor of Escherichia coli, probing
several mutations in the DNA binding and inducer binding domains. We find that
the change in gene expression due to a point mutation can be captured by
modifying only a subset of the model parameters that describe the respective
domain of the wild-type protein. These parameters appear to be insulated, with
mutations in the DNA binding domain altering only the DNA affinity and those in
the inducer binding domain altering only the allosteric parameters. Changing
these subsets of parameters tunes the free energy of the system in a way that
is concordant with theoretical expectations. Finally, we show that the
induction profiles and resulting free energies associated with pairwise double
mutants can be predicted with quantitative accuracy given knowledge of the
single mutants, providing an avenue for identifying and quantifying epistatic
interactions.Comment: 11 pages, 6 figures, supplemental info. available via
http://rpgroup.caltech.edu/mwc_mutant