Folding Cooperativity in a Three-stranded β-Sheet Model

The thermodynamic behavior of a previously designed three-stranded β-sheet was studied via several microseconds of standard and replica exchange molecular dynamics simulations. The system is shown to populate at least four thermodynamic minima, including two partially folded states in which only a single hairpin is formed. Simulated melting curves show different profiles for the C and N-terminal hairpins, consistent with differences in secondary structure content in published NMR and CD/FTIR measurements, which probed different regions of the chain. Individual β-hairpins that comprise the three-stranded β-sheet are observed to form cooperatively. Partial folding cooperativity between the component hairpins is observed, and good agreement between calculated and experimental values quantifying this cooperativity is obtained when similar analysis techniques are used. However, the structural detail in the ensemble of conformations sampled in the simulations permits a more direct analysis of this cooperativity than has been performed on the basis of experimental data. The results indicate the actual folding cooperativity perpendicular to strand direction is significantly larger than the lower bound obtained previously.