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Michele Vendruscolo

Publications and source records attributed to Michele Vendruscolo.

At least 37 records · Page 2Linked to original sources

Comparison of sequence-based and structure-based energy functions for the reversible folding of a peptide.

We used computer simulations to compare the reversible folding of a 20-residue peptide, as described by sequence-based and structure-based energy functions. Sequence-based energy functions are transferable and can be used to describe the behavior of different proteins, since interactions are defined between atomic species. Conversely, structure-based energy functions are not transferable, since the interactions are defined relative to the native conformation, which is assumed to correspond to the global minimum of the energy. Our results indicate that the sequence-based and the structure-based descriptions are in qualitative agreement in characterizing the two-state behavior of the peptide that we studied. We also found, however, that several equilibrium properties, including the free-energy landscape, can be significantly different in the various models. These results suggest that the fact that a model describes the native state of a polypeptide chain does not necessarily imply that the thermodynamic and kinetic properties will also be reproduced correctly.

Algorithms↗

Towards complete descriptions of the free-energy landscapes of proteins.

In recent years increasingly detailed information about the structures and dynamics of protein molecules has been obtained by innovative applications of experimental techniques, in particular nuclear magnetic resonance spectroscopy and protein engineering, and theoretical methods, notably molecular dynamics simulations. In this article we discuss how such approaches can be combined by incorporating a wide range of different types of experimental data as restraints in computer simulations to provide unprecedented detail about the ensembles of structures that describe proteins in a wide variety of states from the native structure to highly unfolded species. Knowledge of these ensembles is beginning to enable the complete free-energy landscapes of individual proteins to be defined at atomic resolution. This strategy has provided new insights into the mechanism by which proteins are able to fold into their native states, or by which they fail to do so and give rise to harmful aggregates that are associated with a wide range of debilitating human diseases.

Computer Simulation↗

Formation of native and non-native interactions in ensembles of denatured ACBP molecules from paramagnetic relaxation enhancement studies.

Paramagnetic relaxation enhancement measurements in the denatured state of ACBP have provided distance restraints that have been used in computer simulations to determine the conformational ensembles representing the denatured states of ACBP under a variety of conditions. A detailed comparison of the residual structure in the denatured state of ACBP under these different conditions has enabled us to infer that regions in the N and C-terminal parts of the protein sequence have a high tendency to interact in the unfolded state under physiological conditions. By comparing the structural features in the denatured states with those in the transition state for folding we also provided new insights into the mechanism of formation of the native state of this protein.

Animals↗

Mapping long-range interactions in alpha-synuclein using spin-label NMR and ensemble molecular dynamics simulations.

The intrinsically disordered protein alpha-synuclein plays a key role in the pathogenesis of Parkinson's disease (PD). We show here that the native state of alpha-synuclein consists of a broad distribution of conformers with an ensemble-averaged hydrodynamic radius significantly smaller than that expected for a random coil structure. This partial condensation is driven by interactions between the highly charged C-terminus and a large hydrophobic central region of the protein sequence. We suggest that this structure could inhibit the formation of alpha-synuclein aggregates, which are thought to be the cytotoxic species responsible for neurodegeneration in PD.

Computer Simulation↗

Simultaneous determination of protein structure and dynamics.

We present a protocol for the experimental determination of ensembles of protein conformations that represent simultaneously the native structure and its associated dynamics. The procedure combines the strengths of nuclear magnetic resonance spectroscopy--for obtaining experimental information at the atomic level about the structural and dynamical features of proteins--with the ability of molecular dynamics simulations to explore a wide range of protein conformations. We illustrate the method for human ubiquitin in solution and find that there is considerable conformational heterogeneity throughout the protein structure. The interior atoms of the protein are tightly packed in each individual conformation that contributes to the ensemble but their overall behaviour can be described as having a significant degree of liquid-like character. The protocol is completely general and should lead to significant advances in our ability to understand and utilize the structures of native proteins.

Computer Simulation↗

Principal eigenvector of contact matrices and hydrophobicity profiles in proteins.

With the aim of studying the relationship between protein sequences and their native structures, we adopted vectorial representations for both sequence and structure. The structural representation was based on the principal eigenvector of the fold's contact matrix (PE). As has been recently shown, the latter encodes sufficient information for reconstructing the whole contact matrix. The sequence was represented through a hydrophobicity profile (HP), using a generalized hydrophobicity scale that we obtained from the principal eigenvector of a residue-residue interaction matrix, and denoted as interactivity scale. Using this novel scale, we defined the optimal HP of a protein fold, and, by means of stability arguments, predicted to be strongly correlated with the PE of the fold's contact matrix. This prediction was confirmed through an evolutionary analysis, which showed that the PE correlates with the HP of each individual sequence adopting the same fold and, even more strongly, with the average HP of this set of sequences. Thus, protein sequences evolve in such a way that their average HP is close to the optimal one, implying that neutral evolution can be viewed as a kind of motion in sequence space around the optimal HP. Our results indicate that the correlation coefficient between N-dimensional vectors constitutes a natural metric in the vectorial space in which we represent both protein sequences and protein structures, which we call vectorial protein space. In this way, we define a unified framework for sequence-to-sequence, sequence-to-structure and structure-to-structure alignments. We show that the interactivity scale is nearly optimal both for the comparison of sequences to sequences and sequences to structures.

Hydrophobic and Hydrophilic Interactions↗

Interpreting dynamically-averaged scalar couplings in proteins.

The experimental determination of scalar three-bond coupling constants represents a powerful method to probe both the structure and dynamics of proteins. The detailed structural interpretation of such coupling constants is usually based on Karplus relationships, which allow the measured couplings to be related to the torsion angles of the molecules. As the measured couplings are sensitive to thermal fluctuations, the parameters in the Karplus relationships are better derived from ensembles representing the distributions of dihedral angles present in solution, rather than from single conformations. We present a method to derive such parameters that uses ensembles of conformations determined through dynamic-ensemble refinement--a method that provides structural ensembles that simultaneously represent both the structure and the associated dynamics of a protein.

Models, Molecular↗

Protein folding and the organization of the protein topology universe.

The mechanism by which proteins fold to their native states has been the focus of intense research in recent years. The rate-limiting event in the folding reaction is the formation of a conformation in a set known as the transition-state ensemble. The structural features present within such ensembles have now been analysed for a series of proteins using data from a combination of biochemical and biophysical experiments together with computer-simulation methods. These studies show that the topology of the transition state is determined by a set of interactions involving a small number of key residues and, in addition, that the topology of the transition state is closer to that of the native state than to that of any other fold in the protein universe. Here, we review the evidence for these conclusions and suggest a molecular mechanism that rationalizes these findings by presenting a view of protein folds that is based on the topological features of the polypeptide backbone, rather than the conventional view that depends on the arrangement of different types of secondary-structure elements. By linking the folding process to the organization of the protein structure universe, we propose an explanation for the overwhelming importance of topology in the transition states for protein folding.

Animals↗

Prediction of site-specific amino acid distributions and limits of divergent evolutionary changes in protein sequences.

We derive an analytic expression for site-specific stationary distributions of amino acids from the structurally constrained neutral (SCN) model of protein evolution with conservation of folding stability. The stationary distributions that we obtain have a Boltzmann-like shape, and their effective temperature parameter, measuring the limit of divergent evolutionary changes at a given site, can be predicted from a site-specific topological property, the principal eigenvector of the contact matrix of the native conformation of the protein. These analytic results, obtained without free parameters, are compared with simulations of the SCN model and with the site-specific amino acid distributions obtained from the Protein Data Bank. These results also provide new insights into how the topology of a protein fold influences its designability, i.e., the number of sequences compatible with that fold. The dependence of the effective temperature on the principal eigenvector decreases for longer proteins, as a possible consequence of the fact that selection for thermodynamic stability becomes weaker in this case.

Amino Acids↗

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.

Amino Acid Sequence↗

Prediction of the absolute aggregation rates of amyloidogenic polypeptide chains.

Protein aggregation is associated with a variety of pathological conditions, including Alzheimer's and Creutzfeldt-Jakob diseases and type II diabetes. Such degenerative disorders result from the conversion of the normal soluble state of specific proteins into aggregated states that can ultimately form the characteristic amyloid fibrils found in diseased tissue. Under appropriate conditions it appears that many, perhaps all, proteins can be converted in vitro into amyloid fibrils. The aggregation propensities of different polypeptide chains have, however, been observed to vary substantially. Here, we describe an approach that uses the knowledge of the amino acid sequence and of the experimental conditions to reproduce, with a correlation coefficient of 0.92 and over five orders of magnitude, the in vitro aggregation rates of a wide range of unstructured peptides and proteins. These results indicate that the formation of protein aggregates can be rationalised to a considerable extent in terms of simple physico-chemical parameters that describe the properties of polypeptide chains and their environment.

Amino Acid Sequence↗

Low-populated folding intermediates of Fyn SH3 characterized by relaxation dispersion NMR.

Many biochemical processes proceed through the formation of functionally significant intermediates. Although the identification and characterization of such species can provide vital clues about the mechanisms of the reactions involved, it is challenging to obtain information of this type in cases where the intermediates are transient or present only at low population. One important example of such a situation involves the folding behaviour of small proteins that represents a model for the acquisition of functional structure in biology. Here we use relaxation dispersion nuclear magnetic resonance (NMR) spectroscopy to identify, for two mutational variants of one such protein, the SH3 domain from Fyn tyrosine kinase, a low-population folding intermediate in equilibrium with its unfolded and fully folded states. By performing the NMR experiments at different temperatures, this approach has enabled characterization of the kinetics and energetics of the folding process as well as providing structures of the intermediates. A general strategy emerges for an experimental determination of the energy landscape of a protein by applying this methodology to a series of mutants whose intermediates have differing degrees of native-like structure.

Binding Sites↗

Molecular dynamics studies of the process of amyloid aggregation of peptide fragments of transthyretin.

It has been shown recently that an 11-residue peptide fragment of transthyretin, TTR(105-115), can form amyloid fibrils in vitro by adopting an extended beta-strand conformation. We used molecular dynamics simulations on systems of TTR(105-115) peptides, for a total length of about 5 micros, to explore the process of self-assembly and the structures of the resulting aggregates. Our results suggest that an antiparallel association of the beta-strands is more probable than a parallel one and that the central residues (T106-L111) in a beta-strand have a high propensity to form inter-peptide hydrogen bonds. The study of the dynamics of self-association indicated that, for this peptide, trajectories leading to conformations with high alpha-helical content are off-pathway from those leading to aggregates with high beta-structure content. We also show that the diverse oligomeric structures that form spontaneously in the molecular dynamics simulations are, to a large extent, compatible with solid-state NMR experimental measurements, including chemical shifts, on fully formed fibrils. The strategy that we present may therefore be used in the design of new experiments to determine the structure of amyloid fibrils, such as those involving site-specific isotope labelling schemes to measure key inter-atomic distances.

Amyloid↗

Determination of protein structures consistent with NMR order parameters.

Order parameters obtained from NMR experiments characterize distributions of bond vector orientations. Their interpretation, however, usually requires the assumption of a particular motional model. We propose a multiple-copy simulation method in which the experimental order parameters are used as restraints in conjunction with a standard molecular force field. The latter effectively acts as a sophisticated motional model, allowing ensembles of structures consistent with the experimental order parameters to be determined.

Cell Adhesion Molecules↗

Reconstruction of protein structures from a vectorial representation.

We show that the contact map of the native structure of globular proteins can be reconstructed starting from the sole knowledge of the contact map's principal eigenvector, and present an exact algorithm for this purpose. Our algorithm yields a unique contact map for all 221 globular structures of PDBselect25 of length N</=120. We also show that the reconstructed contact maps allow in turn for the accurate reconstruction of the three-dimensional structure. These results indicate that the reduced vectorial representation provided by the principal eigenvector of the contact map is equivalent to the protein structure itself. This representation is expected to provide a useful tool in bioinformatics algorithms for protein structure comparison and alignment, as well as a promising intermediate step towards protein structure prediction.

Algorithms↗

Transition states for protein folding have native topologies despite high structural variability.

We present a structural analysis of the folding transition states of three SH3 domains. Our results reveal that the secondary structure is not yet fully formed at this stage of folding and that the solvent is only partially excluded from the interior of the protein. Comparison of the members of the transition state ensemble with a database of native folds shows that, despite substantial local variability, the transition state structures can all be classified as having the topology characteristic of an SH3 domain. Our results suggest a mechanism for folding in which the formation of a network of interactions among a subset of hydrophobic residues ensures that the native topology is generated. Such a mechanism enables high fidelity in folding while minimizing the need to establish a large number of specific interactions in the conformational search.

Amino Acid Sequence↗

Determination of an ensemble of structures representing the denatured state of the bovine acyl-coenzyme a binding protein.

The denatured state of a protein contains important information about the determinants of the folding process. By combining site-directed spin-labeling NMR experiments and restrained computer simulations, we have determined ensembles of conformations that represent the denatured state of the bovine acyl-coenzyme A binding protein (ACBP) at three different concentrations of guanidine hydrochloride. As the experimentally determined distance information corresponds to weighted averages over a broad ensemble of structures, we applied the experimental restraints to a system of noninteracting replicas of the protein by using a Monte Carlo sampling scheme. This procedure permits us to sample ensembles of conformations that are compatible with the experimental data and thus to obtain information regarding the distribution of structures in the denatured state. Our results show that the denatured state of ACBP is highly heterogeneous. The high sensitivity of the computational method that we present, however, enabled us to identify long-range interactions between two regions, located near the N- and C-termini, that include both native and non-native elements. The preferential formation of these contacts suggests that the sequence-dependent patterns of helical propensity and hydrophobicity are important determinants of the structure in the denatured state of ACBP.

Acyl Coenzyme A↗

Comparison of the transition state ensembles for folding of Im7 and Im9 determined using all-atom molecular dynamics simulations with phi value restraints.

Delineation of the structural properties of transition states is key to deriving models for protein folding. Here we describe the structures of the transition states of the bacterial immunity proteins Im7 and Im9 obtained by all-atom molecular dynamics simulations with phi value restraints derived from protein engineering experiments. This pair of proteins is of special interest because, at pH 7 and 10 degrees C, Im7 folds via an intermediate while Im9 folds with a two-state transition. The structures of the transition states for Im7 and Im9, together with their radii of gyration and distances from the native state, are similar. The typical distance between any two members of the transition state ensemble of both proteins is large, with that of Im9 nearly twice that of Im7. Thus, a broad range of structures make up the transition state ensembles of these proteins. The ensembles satisfy the set of rather low phi values and yet are consistent with high beta(T) values (> 0.85 for both proteins). For both Im7 and Im9 the inter-helical angles are highly variable in the transition state ensembles, although the native contacts between helices I and IV are well conserved. By measuring the distribution of the accessible surface area for each residue we show that the hydrophobic residues that are buried in the native state remain buried in the transition state, corresponding to a hydrophobic collapse to a relatively ordered globule. The data provide new insights into the structural properties of the transition states of these proteins at an atomic level of detail and show that molecular dynamics simulations with phi value restraints can significantly enhance the knowledge of the transition state ensembles (TSE) provided by the experimental phi values alone.

Bacterial Proteins↗