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The characterization of the transition state is a central issue in biophysical studies of protein folding. NMR is a multiprobe measurement technique that provides residue-specific information. Here, we used exchange spectroscopy to characterize the transition state of the two-state slow topological isomerization of a 27-residue lantibiotic peptide. The exchange kinetic rates varied on a per-residue basis, indicating the reduced kinetic cooperativity of the two-state exchange, as well as the previously observed reduced thermodynamic cooperativity. Furthermore, temperature-dependent measurements revealed large variations in the activation enthalpy and entropy terms among residues. Interestingly, we found a linear relationship between the logarithm of the equilibrium constants and that of the exchange rates. Because the data points are derived from amino acid residues in one polypeptide chain, we refer to the linear relationship as the residue-based linear free energy relationship (rbLFER). The rbLFER offers information about the transition state of the two-state exchange.

Slow polypeptide conformational changes on time scales of >1 s are generally assumed to be highly cooperative two-state transitions, reflecting the high energy barrier. However, few experimental characterizations have tested the validity of this assumption. We performed residue-specific NMR thermodynamic analysis of the 27-residue lantibiotic peptide, nukacin ISK-1, to characterize the isomerization between two topological states on the second time scale. Unexpectedly, the thermal transition behaviors were distinct among peptide regions, indicating that the topological isomerization process is a mosaic of different degrees of cooperativity. The conformational change path between the two NMR structures was deduced by a targeted molecular dynamics simulation. The unique side-chain threading motions through the monosulfide rings are the structural basis of the high energy barrier, and the nonlocal interactions in the hydrophobic core are the structural basis of the cooperativity. Taken together, we provide an energetic description of the topological isomerization of nukacin ISK-1.