Predicting coupling limits from an experimentally determined energy landscape.

Repeat proteins are composed of tandem structural modules in which close contacts do not extend beyond adjacent repeats. Despite the local nature of these close contacts, repeat proteins often unfold as a single, highly coupled unit. Previous studies on the Notch ankyrin domain suggest that this lack of equilibrium unfolding intermediates results both from stabilizing interfaces between each repeat and from a roughly uniform distribution of stability across the folding energy landscape. To investigate this idea, we have generated 15 variants of the Notch ankyrin domain with single and multiple destabilizing substitutions that make the energy landscape uneven. By applying a free energy additivity analysis to these variants, we quantified the destabilization threshold over which repeats 6 and 7 decouple from repeats 1-5. The free energy coupling limit suggested by this additivity analysis ( approximately 4 kcal/mol) is also reflected in m-value analysis and in differences among equilibrium unfolding transitions as monitored by CD versus fluorescence for all 15 variants. All of these observations are quantitatively predicted by analyzing the response of the experimentally determined energy landscape to increasing unevenness. These results highlight the importance of a uniform distribution of local stability in achieving cooperative unfolding.