A kinetic and thermodynamic survey of 35 WW domain sequences is used in combination with a model to discern the energetic requirements for the transition from two-state folding to downhill folding. The sequences used exhibit a 600-fold range of folding rates at the temperature of maximum folding rate. Very stable proteins can achieve complete downhill folding when the temperature is lowered sufficiently below the melting temperature, and then at even lower temperatures they become two-state folders again because of cold denaturation. Less stable proteins never achieve a sufficient bias to fold downhill because of the onset of cold denaturation. The model, considering both heat and cold denaturation, reveals that to achieve incipient downhill folding (barrier <3 RT) or downhill folding (no barrier), the WW domain average melting temperatures have to be >50°C for incipient downhill folding and >90°C for downhill folding.activated rate ͉ alkene peptide isosteres ͉ molecular rate ͉ speed limit ͉ stability E nergy landscape theory predicts that the entropic and enthalpic contributions to the free energy of a protein may be able to compensate for one another to the point where no significant (Ͼ3 RT) barrier appears along the folding reaction coordinate (1). Such folding is now referred to as ''type 0'' or ''downhill'' folding (1, 2). The possibility of downhill folding has been supported by a number of experiments (3-7). Kinetic measurements have focused on the transition from simple single exponential (two-state) to nonexponential (low barrier) back toward simpler (pure downhill) kinetics as the thermodynamic bias toward the native state is increased (3,6,8,9). Thermodynamic measurements with probe-dependent baselines and transition temperatures suggest that downhill folding may be possible even at the melting temperature of a protein (10-12). Recently, two engineered proteins with identical melting temperatures were compared by both kinetic and thermodynamic criteria, showing that one can be classified as a two-state folder, whereas the other can be classified as a downhill folder (13). Such results have been debated extensively in the literature (14-17).It has been suggested that the kinetics and thermodynamics of downhill folders must be very sensitive to sequence and environment because of the low barriers involved (18). Indeed, the fast folder lambda repressor has been shown to fold by either two-state, framework intermediate, or downhill mechanisms, depending on solvent conditions and sequence (6,9,13,19,20). Models for protein BBL, another fast folding protein, also indicate that it folds either in a two-state or downhill manner, depending on the exact sequence and solvent conditions (21,22).The diversity of observations suggests that criteria for downhill folding can be developed only by examining a large number of fast-folding proteins. Here, we take a survey approach to the experimental study of downhill folding. We examine a series of 35 engineered WW domains with variation in loops 1 and 2, where sequence...