To explore the plasticity and structural constraints of the proteinfolding nucleus we have constructed through circular permutation four topological variants of the ribosomal protein S6. In effect, these topological variants represent entropy mutants with maintained spatial contacts. The proteins were characterized at two complementary levels of detail: by -value analysis estimating the extent of contact formation in the transition-state ensemble and by Hammond analysis measuring the site-specific growth of the folding nucleus. The results show that, although the loop-entropy alterations markedly influence the appearance and structural location of the folding nucleus, it retains a common motif of one helix docking against two strands. This nucleation motif is built around a shared subset of side chains in the center of the hydrophobic core but extends in different directions of the S6 structure following the permutant-specific differences in local loop entropies. The adjustment of the critical folding nucleus to alterations in loop entropies is reflected by a direct correlation between the -value change and the accompanying change in local sequence separation.O ur current understanding of the protein-folding nucleus is based on a synthesis of results from simulation (1) and experimental mapping of site-specific contacts in the transitionstate ensemble by protein engineering (2, 3). From these results it is apparent that the free-energy landscape controlling the folding process is highly evolved, with few traps and a characteristic bias toward native contacts (4, 5). Consistent with the general insensitivity of the transition-state structure to point mutation and the remarkable success of reproducing experimental data with simplistic Go models, the prediction from such biased landscapes is that the sequence of folding events is largely determined by the topology of the native structure (1, 4, 6, 7). One intriguing possibility is that folding follows a trajectory of the lowest successive loop-entropy cost (8, 9). To directly test this idea we have analyzed the folding behavior of four S6 variants in which the loop-entropy cost of forming pairwise contacts has been systematically altered through circular permutation (10-12). The results show that the -value distribution defining the S6 nucleus is plastic and responds to circular permutation in a systematic manner. Contacts are recruited in directions with decreased sequence separation, and contacts are lost at the entropically penalized regions of the backbone incisions. Even so, the critical nuclei of the permuted proteins share a minimal two-strand-helix motif with variable but overlapping composition of secondary-structure elements. Moreover, it is apparent that a specific number of side-chain contacts are required to turn the folding free energy profile downhill, and that the dimension of this cluster matches the size of the smallest cooperatively folding proteins.
Results and DiscussionPronounced Changes of the -Value Distribution upon Circular Permutation. Ch...