S1 Stabilization of secondary structure elements by NLIs. The interplay between local secondary structure elements and hydrophobic NLIs Most nucleation models of folding assume that secondary structure elements that form the nucleus (or other sub-domain structures) are formed first and then stabilized by NLIs while in other models (e.g. the loop hypothesis) this stabilization is not the cause for the addition of the NLIs but rather a consequence of the formation of NLIs between disordered segments. Here we review some experiments where this question was addressed. Wright et al. studied the refolding of sperm whale apomyoglobin (Cavagnero, Dyson et al. 1999; Cavagnero, Nishimura et al. 2001) (Kay and Baldwin 1996; Kay, Ramos et al. 1999). It was shown that for the fast intermediate state, even when the local structure is destabilized by mutations, the (hydrophobic) NLIs within the core of the protein are effective. In a complementary study, a polar to hydrophobic substitution that was introduced (in helix E, H64F) (Garcia, Nishimura et al. 2000) resulted in enhanced helix stability due to an enhanced non-local interaction. Redford studied folding of the small (87 residues) four helix bundle protein, Im7 (Knowling, Bartlett et al. ; Knowling, Figueiredo et al. 2009). It was shown that the interaction of the fourth helix is not dependent on its helicity but rather on the presence of non-polar residues that contribute NLIs with the previously formed triple helix bundle of the folding intermediate. These examples suggest that NLIs can be effective even without pre ordering of local elements. Serrano and coworkers studied the relative contribution of LIs vs. NLIs in the folding rate and stability of proteins by engineering enhanced interactions. (Munoz, Cronet et al. 1996; Munoz and Serrano 1996) they concluded that secondary structure elements have low specificity for the native state, also stabilizing alternative conformations which gives a clue as to why natural proteins have such low helical propensities, as compared to what is attainable with synthetic peptides. In another study(Prieto, Wilmans et al. 1997) Serrano group demonstrated that NLIs can overcome strong non-native secondary structure propensities and, more important, that optimisation of folding speed and co-operativity requires the latter to be relatively small. Several other examples were reported where stabilization of LIs increased and sometimes decreased the folding rate.(Bofill, Simpson et al. 2005) Niggemann and Steipe (Niggemann and Steipe 2000) used structural motifs’ engineering and suggest that LIs contribut to stability of the folded molecules while the NLIs are responsible for the cooperativity of the folding transition. . 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