Characterisation of transition state structures for protein folding using 'high', 'medium' and 'low' {Phi}-values.

It has been suggested that Phi-values, which allow structural information about transition states (TSs) for protein folding to be obtained, are most reliably interpreted when divided into three classes (high, medium and low). High Phi-values indicate almost completely folded regions in the TS, intermediate Phi-values regions with a detectable amount of structure and low Phi-values indicate mostly unstructured regions. To explore the extent to which this classification can be used to characterise in detail the structure of TSs for protein folding, we used Phi-values divided into these classes as restraints in molecular dynamics simulations. This type of procedure is related to that used in NMR spectroscopy to define the structure of native proteins from the measurement of inter-proton distances derived from nuclear Overhauser effects. We illustrate this approach by determining the TS ensembles of five proteins and by showing that the results are similar to those obtained by using as restraints the actual numerical Phi-values measured experimentally. Our results indicate that the simultaneous consideration of a set of low-resolution Phi-values can provide sufficient information for characterising the architecture of a TS for folding of a protein.

BPPred: a Web-based computational tool for predicting biophysical parameters of proteins.

We exploit the availability of recent experimental data on a variety of proteins to develop a Web-based prediction algorithm (BPPred) to calculate several biophysical parameters commonly used to describe the folding process. These parameters include the equilibrium m-values, the length of proteins, and the changes upon unfolding in the solvent-accessible surface area, in the heat capacity, and in the radius of gyration. We also show that the knowledge of any one of these quantities allows an estimate of the others to be obtained, and describe the confidence limits with which these estimations can be made. Furthermore, we discuss how the kinetic m-values, or the Beta Tanford values, may provide an estimate of the solvent-accessible surface area and the radius of gyration of the transition state for protein folding. Taken together, these results suggest that BPPred should represent a valuable tool for interpreting experimental measurements, as well as the results of molecular dynamics simulations.

Mechanical unfolding of TNfn3: the unfolding pathway of a fnIII domain probed by protein engineering, AFM and MD simulation.

Protein engineering Phi-value analysis combined with single molecule atomic force microscopy (AFM) was used to probe the molecular basis for the mechanical stability of TNfn3, the third fibronectin type III domain from human tenascin. This approach has been adopted previously to solve the forced unfolding pathway of a titin immunoglobulin domain, TI I27. TNfn3 and TI I27 are members of different protein superfamilies and have no sequence identity but they have the same beta-sandwich structure consisting of two antiparallel beta-sheets. TNfn3, however, unfolds at significantly lower forces than TI I27. We compare the response of these proteins to mechanical force. Mutational analysis shows that, as is the case with TI I27, TNfn3 unfolds via a force-stabilised intermediate. The key event in forced unfolding in TI I27 is largely the breaking of hydrogen bonds and hydrophobic interactions between the A' and G-strands. The mechanical Phi-value analysis and molecular dynamics simulations reported here reveal that significantly more of the TNfn3 molecule contributes to its resistance to force. Both AFM experimental data and molecular dynamics simulations suggest that the rate-limiting step of TNfn3 forced unfolding reflects a transition from the extended early intermediate to an aligned intermediate state. As well as losses of interactions of the A and G-strands and associated loops there are rearrangements throughout the core. As was the case for TI I27, the forced unfolding pathway of TNfn3 is different from that observed in denaturant studies in the absence of force.

Comparison of the transition states for folding of two Ig-like proteins from different superfamilies.

In the "fold approach" proteins with a similar fold but different sequences are compared in order to investigate the relationship between native state structure and folding behaviour. Here we compare the properties of the transition states for folding of TI I27, the 27th immunoglobulin domain from human cardiac titin, and that of TNfn3, the third fibronectin type III domain from human tenascin. Experimental phi-values were used as restraints in molecular dynamics simulations to determine the structures that make up the transition state ensembles (TSEs) for folding of the two proteins. The restrained simulations that we present allow a detailed structural comparison of the two TSEs to be made. Further calculations show explicitly that for both proteins the formation of the interactions involving the residues in the folding nucleus is sufficient for the establishment of the topology of the Ig-like fold. We found that, although the folding nuclei of the two proteins are similar, the packing of the folding nucleus of TI I27 is much tighter than that of TNfn3, reflecting the higher experimental phi-values and beta(T) (Tanford Beta) of TI I27. These results suggest that the folding nucleus can be significantly deformed to accommodate extensive sequence variation while conserving the same folding mechanism.

A PDZ domain recapitulates a unifying mechanism for protein folding.

A unifying view has been recently proposed according to which the classical diffusion-collision and nucleation-condensation models may represent two extreme manifestations of an underlying common mechanism for the folding of small globular proteins. We report here the characterization of the folding process of the PDZ domain, a protein that recapitulates the three canonical steps involved in this unifying mechanism, namely: (i) the early formation of a weak nucleus that determines the native-like topology of a large portion of the structure, (ii) a global collapse of the entire polypeptide chain, and (iii) the consolidation of the remaining partially structured regions to achieve the native state conformation. These steps, which are clearly detectable in the PDZ domain investigated here, may be difficult to distinguish experimentally in other proteins, which would thus appear to follow one of the two limiting mechanisms. The analysis of the (un)folding kinetics for other three-state proteins (when available) appears consistent with the predictions ensuing from this unifying mechanism, thus providing a powerful validation of its general nature.

Structural comparison of the two alternative transition states for folding of TI I27.

TI I27, a beta-sandwich domain from the human muscle protein titin, has been shown to fold via two alternative pathways, which correspond to a change in the folding mechanism. Under physiological conditions, TI I27 folds by a classical nucleation-condensation mechanism (diffuse transition state), whereas at extreme conditions of temperature and denaturant it switches to having a polarized transition state. We have used experimental Phi-values as restraints in ensemble-averaged molecular dynamics simulations to determine the ensembles of structures representing the two transition states. The comparison of these ensembles indicates that when native interactions are substantially weakened, a protein may still be able to fold if it can access an alternative transition state characterized by a much larger entropic contribution. Analysis of the probability distribution of Phi-values derived from ensemble averaged simulations, enables us to identify residues that form contacts in some members of the ensemble but not in others illustrating that many interactions present in transition states are not strictly required for the successful completion of the folding process.