FreeSASA: An open source C library for solvent accessible surface area calculations.

Calculating solvent accessible surface areas (SASA) is a run-of-the-mill calculation in structural biology. Although there are many programs available for this calculation, there are no free-standing, open-source tools designed for easy tool-chain integration. FreeSASA is an open source C library for SASA calculations that provides both command-line and Python interfaces in addition to its C API. The library implements both Lee and Richards' and Shrake and Rupley's approximations, and is highly configurable to allow the user to control molecular parameters, accuracy and output granularity. It only depends on standard C libraries and should therefore be easy to compile and install on any platform. The library is well-documented, stable and efficient. The command-line interface can easily replace closed source legacy programs, with comparable or better accuracy and speed, and with some added functionality.

SPACER: Server for predicting allosteric communication and effects of regulation.

The SPACER server provides an interactive framework for exploring allosteric communication in proteins with different sizes, degrees of oligomerization and function. SPACER uses recently developed theoretical concepts based on the thermodynamic view of allostery. It proposes easily tractable and meaningful measures that allow users to analyze the effect of ligand binding on the intrinsic protein dynamics. The server shows potential allosteric sites and allows users to explore communication between the regulatory and functional sites. It is possible to explore, for instance, potential effector binding sites in a given structure as targets for allosteric drugs. As input, the server only requires a single structure. The server is freely available at http://allostery.bii.a-star.edu.sg/.

Mechanical resistance in unstructured proteins.

Single-molecule pulling experiments on unstructured proteins linked to neurodegenerative diseases have measured rupture forces comparable to those for stable folded proteins. To investigate the structural mechanisms of this unexpected force resistance, we perform pulling simulations of the amyloid ß-peptide (Aß) and α-synuclein (αS), starting from simulated conformational ensembles for the free monomers. For both proteins, the simulations yield a set of rupture events that agree well with the experimental data. By analyzing the conformations occurring shortly before rupture in each event, we find that the mechanically resistant structures share a common architecture, with similarities to the folds adopted by Aß and αS in amyloid fibrils. The disease-linked Arctic mutation of Aß is found to increase the occurrence of highly force-resistant structures. Our study suggests that the high rupture forces observed in Aß and αS pulling experiments are caused by structures that might have a key role in amyloid formation.

Unraveling hidden regulatory sites in structurally homologous metalloproteases.

Monitoring enzymatic activity in vivo of individual homologous enzymes such as the matrix metalloproteinases (MMPs) by antagonist molecules is highly desired for defining physiological and pathophysiological pathways. However, the rational design of antagonists targeting enzyme catalytic moieties specific to one of the homologous enzymes often appears to be an extremely difficult task. This is mainly due to the high structural homology at the enzyme active sites shared by members of the protein family. Accordingly, controlling enzymatic activity via alternative allosteric sites has become an attractive proposition for drug design targeting individual homologous enzymes. Yet, the challenge remains to identify such regulatory alternative sites that are often hidden and scattered over different locations on the protein's surface. We have designed branched amphiphilic molecules exhibiting specific inhibitory activity towards individual members of the MMP family. These amphiphilic isomers share the same chemical nature, providing versatile nonspecific binding reactivity that allows to probe hidden regulatory residues on a given protein surface. Using the advantage provided by amphiphilic ligands, here we explore a new approach for determining hidden regulatory sites. This approach includes diverse experimental analysis, such as structural spectroscopic analyses, NMR, and protein crystallography combined with computational prediction of effector binding sites. We demonstrate how our approach works by analyzing members of the MMP family that possess a unique set of such sites. Our work provides a proof of principle for using ligand effectors to unravel hidden regulatory sites specific to members of the structurally homologous MMP family. This approach may be exploited for the design of novel molecular effectors and therapeutic agents affecting protein catalytic function via interactions with structure-specific regulatory sites.

Coherent conformational degrees of freedom as a structural basis for allosteric communication.

Conformational changes in allosteric regulation can to a large extent be described as motion along one or a few coherent degrees of freedom. The states involved are inherent to the protein, in the sense that they are visited by the protein also in the absence of effector ligands. Previously, we developed the measure binding leverage to find sites where ligand binding can shift the conformational equilibrium of a protein. Binding leverage is calculated for a set of motion vectors representing independent conformational degrees of freedom. In this paper, to analyze allosteric communication between binding sites, we introduce the concept of leverage coupling, based on the assumption that only pairs of sites that couple to the same conformational degrees of freedom can be allosterically connected. We demonstrate how leverage coupling can be used to analyze allosteric communication in a range of enzymes (regulated by both ligand binding and post-translational modifications) and huge molecular machines such as chaperones. Leverage coupling can be calculated for any protein structure to analyze both biological and latent catalytic and regulatory sites.

Binding leverage as a molecular basis for allosteric regulation.

Allosteric regulation involves conformational transitions or fluctuations between a few closely related states, caused by the binding of effector molecules. We introduce a quantity called binding leverage that measures the ability of a binding site to couple to the intrinsic motions of a protein. We use Monte Carlo simulations to generate potential binding sites and either normal modes or pairs of crystal structures to describe relevant motions. We analyze single catalytic domains and multimeric allosteric enzymes with complex regulation. For the majority of the analyzed proteins, we find that both catalytic and allosteric sites have high binding leverage. Furthermore, our analysis of the catabolite activator protein, which is allosteric without conformational change, shows that its regulation involves other types of motion than those modulated at sites with high binding leverage. Our results point to the importance of incorporating dynamic information when predicting functional sites. Because it is possible to calculate binding leverage from a single crystal structure it can be used for characterizing proteins of unknown function and predicting latent allosteric sites in any protein, with implications for drug design.

Monte Carlo study of the formation and conformational properties of dimers of Aß42 variants.

Small soluble oligomers, and dimers in particular, of the amyloid ß-peptide (Aß) are believed to play an important pathological role in Alzheimer's disease. Here, we investigate the spontaneous dimerization of Aß42, with 42 residues, by implicit solvent all-atom Monte Carlo simulations, for the wild-type peptide and the mutants F20E, E22G and E22G/I31E. The observed dimers of these variants share many overall conformational characteristics but differ in several aspects at a detailed level. In all four cases, the most common type of secondary structure is intramolecular antiparallel ß-sheets. Parallel, in-register ß-sheet structure, as in models for Aß fibrils, is rare. The primary force driving the formation of dimers is hydrophobic attraction. The conformational differences that we do see involve turns centered in the 20-30 region. The probability of finding turns centered in the 25-30 region, where there is a loop in Aß fibrils, is found to increase upon dimerization and to correlate with experimentally measured rates of fibril formation for the different Aß42 variants. Our findings hint at reorganization of this part of the molecule as a potentially critical step in Aß aggregation.

A geometry-based generic predictor for catalytic and allosteric sites.

An important aspect of understanding protein allostery, and of artificial effector design, is the characterization and prediction of substrate- and effector-binding sites. To find binding sites in allosteric enzymes, many of which are oligomeric with allosteric sites at domain interfaces, we devise a local centrality measure for residue interaction graphs, which behaves well for both small/monomeric and large/multimeric proteins. The measure is purely structure based and has a clear geometrical interpretation and no free parameters. It is not biased towards typically catalytic residues, a property that is crucial when looking for non-catalytic effector sites, which are potent drug targets.

Comparing the folding free-energy landscapes of Abeta42 variants with different aggregation properties.

The properties of the amyloid-beta peptide that lead to aggregation associated with Alzheimer's disease are not fully understood. This study aims at identifying conformational differences among four variants of full-length Abeta42 that are known to display very different aggregation properties. By extensive all-atom Monte Carlo simulations, we find that a variety of beta-sheet structures with distinct turns are readily accessible for full-length Abeta42. In the simulations, wild type (WT) Abeta42 preferentially populates two major classes of conformations, either extended with high beta-sheet content or more compact with lower beta-sheet content. The three mutations studied alter the balance between these classes. Strong mutational effects are observed in a region centered at residues 23-26, where WT Abeta42 tends to form a turn. The aggregation-accelerating E22G mutation associated with early onset of Alzheimer's disease makes this turn region conformationally more diverse, whereas the aggregation-decelerating F20E mutation has the reverse effect, and the E22G/I31E mutation reduces the turn population. Comparing results for the four Abeta42 variants, we identify specific conformational properties of residues 23-26 that might play a key role in aggregation.

Unfolding times for proteins in a force clamp.

The escape process from the native valley for proteins subjected to a constant stretching force is examined using a model for a beta barrel. For a wide range of forces, the unfolding dynamics can be treated as one-dimensional diffusion, parametrized in terms of the end-to-end distance. In particular, the escape times can be evaluated as first passage times for a Brownian particle moving on the protein free-energy landscape, using the Smoluchowski equation. At strong forces, the unfolding process can be viewed as a diffusive drift away from the native state, while at weak forces thermal activation is the relevant mechanism. An escape-time analysis within this approach reveals a crossover from an exponential to an inverse Gaussian escape-time distribution upon passing from weak to strong forces. Moreover, a single expression valid at weak and strong forces can be devised both for the average unfolding time as well as for the corresponding variance. The analysis offers a possible explanation of recent experimental findings for the proteins ddFLN4 and ubiquitin.

An effective all-atom potential for proteins.

We describe and test an implicit solvent all-atom potential for simulations of protein folding and aggregation. The potential is developed through studies of structural and thermodynamic properties of 17 peptides with diverse secondary structure. Results obtained using the final form of the potential are presented for all these peptides. The same model, with unchanged parameters, is furthermore applied to a heterodimeric coiled-coil system, a mixed alpha/beta protein and a three-helix-bundle protein, with very good results. The computational efficiency of the potential makes it possible to investigate the free-energy landscape of these 49-67-residue systems with high statistical accuracy, using only modest computational resources by today's standards.PACS Codes: 87.14.E-, 87.15.A-, 87.15.Cc.

Changing the mechanical unfolding pathway of FnIII10 by tuning the pulling strength.

We investigate the mechanical unfolding of the tenth type III domain from fibronectin (FnIII(10)) both at constant force and at constant pulling velocity, by all-atom Monte Carlo simulations. We observe both apparent two-state unfolding and several unfolding pathways involving one of three major, mutually exclusive intermediate states. All three major intermediates lack two of seven native beta-strands, and share a quite similar extension. The unfolding behavior is found to depend strongly on the pulling conditions. In particular, we observe large variations in the relative frequencies of occurrence for the intermediates. At low constant force or low constant velocity, all three major intermediates occur with a significant frequency. At high constant force or high constant velocity, one of them, with the N- and C-terminal beta-strands detached, dominates over the other two. Using the extended Jarzynski equality, we also estimate the equilibrium free-energy landscape, calculated as a function of chain extension. The application of a constant pulling force leads to a free-energy profile with three major local minima. Two of these correspond to the native and fully unfolded states, respectively, whereas the third one can be associated with the major unfolding intermediates.

Spontaneous beta-barrel formation: an all-atom Monte Carlo study of Abeta16-22 oligomerization.

Using all-atom Monte Carlo simulations with implicit water, combined with a cluster size analysis, we study the aggregation of Abeta(16) (-22), a peptide capable of forming amyloid fibrils. We consider a system of six initially randomly oriented Abeta(16) (-22) peptides, and investigate the thermodynamics and structural properties of aggregates formed by this system. The system is unaggregated without ordered secondary structure at high temperature, and forms beta-sheet rich aggregates at low temperature. At the crossover between these two regimes, we find that clusters of all sizes occur, whereas the beta-strand content is low. In one of several runs, we observe the spontaneous formation of a beta-barrel with six antiparallel strands. The beta-barrel stands out as the by far most long-lived aggregate seen in our simulations.

Differences in solution behavior among four semiconductor-binding peptides.

Recent experiments have identified peptides that adhere to GaAs and Si surfaces. Here, we use all-atom Monte Carlo simulations with implicit solvent to investigate the behavior in aqueous solution of four such peptides, all with 12 residues. At room temperature, we find that all four peptides are largely unstructured, which is consistent with experimental data. At the same time, we find that one of the peptides is structurally different and more flexible, as compared to the others. This finding points at structural differences as a possible explanation for differences in adhesion properties among these peptides. By also analyzing designed mutants of two of the peptides, an experimental test of this hypothesis is proposed.

Thermal versus mechanical unfolding of ubiquitin.

The authors studied the temperature-induced unfolding of ubiquitin by all-atom Monte Carlo simulations. The unfolding behavior is compared with that seen in previous simulations of the mechanical unfolding of this protein, based on the same model. In mechanical unfolding, secondary-structure elements were found to break in a quite well-defined order. In thermal unfolding, the authors saw somewhat larger event-to-event fluctuations, but the unfolding pathway was still far from random. Two long-lived secondary-structure elements could be identified in the simulations. These two elements have been found experimentally to be the thermally most stable ones. Interestingly, one of these long-lived elements, the first beta-hairpin, was found to break early in the mechanical unfolding simulations. Their combined simulation results thus enable the authors to predict in detail important differences between the thermal and mechanical unfolding behaviors of ubiquitin.

Dissecting the mechanical unfolding of ubiquitin.

The unfolding behavior of ubiquitin under the influence of a stretching force recently was investigated experimentally by single-molecule constant-force methods. Many observed unfolding traces had a simple two-state character, whereas others showed clear evidence of intermediate states. Here, we use Monte Carlo simulations to investigate the force-induced unfolding of ubiquitin at the atomic level. In agreement with experimental data, we find that the unfolding process can occur either in a single step or through intermediate states. In addition to this randomness, we find that many quantities, such as the frequency of occurrence of intermediates, show a clear systematic dependence on the strength of the applied force. Despite this diversity, one common feature can be identified in the simulated unfolding events, which is the order in which the secondary-structure elements break. This order is the same in two- and three-state events and at the different forces studied. The observed order remains to be verified experimentally but appears physically reasonable.