Coincidental equilibrium unfolding transitions observed by multiple structural probes are taken to justify the modeling of protein unfolding as a two-state, N <==> U, cooperative process. However, for many of the large number of proteins that undergo apparently two-state equilibrium unfolding reactions, folding intermediates are detected in kinetic experiments. The small protein barstar is one such protein. Here the two-state model for equilibrium unfolding has been critically evaluated in barstar by estimating the intramolecular distance distribution by time-resolved fluorescence resonance energy transfer (TR-FRET) methods, in which fluorescence decay kinetics are analyzed by the maximum entropy method (MEM). Using a mutant form of barstar containing only Trp 53 as the fluorescence donor and a thionitrobenzoic acid moiety attached to Cys 82 as the fluorescence acceptor, the distance between the donor and acceptor has been shown to increase incrementally with increasing denaturant concentration. Although other probes, such as circular dichroism and fluorescence intensity, suggest that the labeled protein undergoes two-state equilibrium unfolding, the TR-FRET probe clearly indicates multistate equilibrium unfolding. Native protein expands progressively through a continuum of native-like forms that achieve the dimensions of a molten globule, whose heterogeneity increases with increasing denaturant concentration and which appears to be separated from the unfolded ensemble by a free energy barrier.

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The folding and unfolding rates of the small protein, barstar, have been monitored using stopped-flow measurements of intrinsic tryptophan fluorescence at 25 degrees C, pH 8.5, and have been compared over a wide range of urea and guanidine hydrochloride (GdnHCl) concentrations. When the logarithms of the rates of folding from urea and from GdnHCl unfolded forms are extrapolated linearly with denaturant concentration, the same rate is obtained for folding in zero denaturant. Similar linear extrapolations of rates of unfolding in urea and GdnHCl yield, however, different unfolding rates in zero denaturant, indicating that such linear extrapolations are not valid. It has been difficult, for any protein, to determine unfolding rates under nativelike conditions in direct kinetic experiments. Using a novel strategy of coupling the reactivity of a buried cysteine residue with 5,5'-dithiobis(2-nitrobenzoic acid) (DTNB) to the unfolding reaction of barstar, the global unfolding and refolding rates have now been determined in low denaturant concentrations. The logarithms of unfolding rates obtained at low urea and GdnHCl concentrations show a markedly nonlinear dependence on denaturant concentration and converge to the same unfolding rate in the absence of denaturant. It is shown that the native protein can sample the fully unfolded conformation even in the absence of denaturant. The observed nonlinear dependences of the logarithms of the refolding and unfolding rates observed for both denaturants are shown to be due to the presence of (un)folding intermediates and not due to movements in the position of the transition state with a change in denaturant concentration.