Interactions between denaturants and proteins are commonly used to probe the structures of the denatured state ensemble and their stabilities. Osmolytes, a class of small intracellular organic molecules found in all taxa, also profoundly affect the equilibrium properties of proteins. We introduce the molecular transfer model, which combines simulations in the absence of denaturants or osmolytes, and Tanford T o function proteins fold (1), whereas misfolding is linked to a number of conformational diseases (2, 3), thus making it important to determine the factors that control stability of proteins (1) and their assembly mechanisms (4-6). A molecular understanding of protein folding requires quantitative estimates of the energetic changes (7,8) in the folding reaction and characterization of the populated structures along the folding pathways. A large number of studies have dissected the interactions that contribute to the stability of proteins (1,(7)(8)(9)(10)(11)(12)(13)(14)(15).In contrast, only relatively recently has there been a concerted effort to determine the structures of the denatured state ensemble (DSE) (16) whose experimental resolution is difficult because of fluctuations in the unfolded structures. In particular, it is difficult to determine the properties of the DSE under conditions in which the native state is stable because the population of the unfolded structures is low (17). Single-molecule FRET experiments have begun to investigate the variations in the global properties of the DSE under native conditions (18)(19)(20). Despite these intense efforts, structural characterization of the DSE and its link to global thermodynamic properties and the folding process is lacking.Denaturants, such as urea and guanidinium chloride (GdmCl), destabilize proteins. In contrast, osmolytes that protect cells against environmental stresses such as high temperature, desiccation, and pressure can stabilize proteins (21). Thus, a complete understanding of the stability of proteins and a description of the structures in the diverse DSEs requires experimental and theoretical studies that provide a quantitative description of the effects of both osmolytes and denaturants.From a theoretical perspective, significant advances in our understanding of how proteins fold have come from molecular simulations by using coarse-grained (CG) off-lattice models (22)(23)(24)(25)(26)(27). However, the CG models only probe the folding of proteins by changing temperature, making it difficult to compare the predictions directly with many experiments that use denaturants. In principle, all-atom simulations of proteins in aqueous denaturant solutions can be used to calculate the conformational properties of proteins. However, the difficulty in adequately sampling the protein conformational space makes most of these simulations inherently nonergodic (28). Here, we overcome these problems by combining Tanford's transfer model (TM) (29, 30) with simulations using an off-lattice side chain representation of polypeptide chains (26) to predi...