An experimental demonstration of ensemble epistasis in the lac repressor

Epistatic, non-additive, interactions between mutations reveal the functional architecture of living systems, strongly shape evolution, and present a difficult challenge for bioengineers. Interpreting and modeling epistasis requires knowledge of the mechanisms that bring it about. We recently argued that "ensemble epistasis" could be a generic mechanism for epistasis between mutations introduced into a single macromolecule. Because proteins exist as ensembles of interconverting conformations, a mutation could induce epistasis by subtly altering ensemble composition and thus the effects of subsequent mutations. Here we show experimentally that the thermodynamic ensemble does indeed yield high magnitude epistasis in the lac repressor. We observed two- and three-way epistasis in DNA binding, with magnitudes as large or larger than the individual effects of mutations. This biophysical effect propagated to substantial epistasis in gene expression in vivo. As predicted in previous theoretical work, IPTG concentration tunes the magnitude of ensemble epistasis. Further, our observations could all be captured with a rigorous mathematical model of the lac repressor ensemble. Given that conformational ensembles are unavoidable features of macromolecules, we expect this is a ubiquitous and underappreciated cause of intramolecular epistasis.