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Biomedical subjects

Peter G Wolynes

Publications and source records attributed to Peter G Wolynes.

At least 37 records · Page 2Linked to original sources
PubMed2005

Thermodynamic-kinetic correlations in supercooled liquids: a critical survey of experimental data and predictions of the random first-order transition theory of glasses.

Thermodynamics and kinetics are thought to be linked in glass transitions. The quantitative predictions of alpha-relaxation activation barriers provided by the theory of glasses based on random first-order transitions are compared with the experimental results for 44 substances. The agreement found between the predicted activation energies near T(g) and experiment is excellent. These predictions depend on the configurational heat capacity change on vitrification and the entropy of melting the crystal which are experimental inputs.

Journal Article↗
PubMed2005

Scanning malleable transition state ensembles: comparing theory and experiment for folding protein U1A.

Using a variational free energy functional, we calculate the characteristics of the transition state ensembles (TSE) for the folding of protein U1A and investigate how they respond to thermal and mutational changes. The functional directly yields predicted chevron plots both for the wild-type protein and for various mutants. The detailed variations of the TSE and changes in chevron plots predicted by the theory agree reasonably well with the results of the experiments. We also show how to visualize the folding nuclei using 3D isodensity plots.

Kinetics↗
PubMed2005

Mosaic energy landscapes of liquids and the control of protein conformational dynamics by glass-forming solvents.

Using recent advances in the Random First-Order Transition (RFOT) Theory of glass-forming liquids, we explain how the molecular motions of a glass-forming solvent distort the protein's boundary and slave some of the protein's conformational motions. Both the length and time scales of the solvent imposed constraints are provided by the RFOT theory. Comparison of the protein relaxation rate to that of the solvent provides an explicit lower bound on the size of the conformational space explored by the protein relaxation. Experimental measurements of slaving of myoglobin motions indicate that a major fraction of functionally important motions have significant entropic barriers.

Chemistry, Physical↗
PubMed2005

Energy landscapes and solved protein-folding problems.

Energy-landscape theory has led to much progress in protein folding kinetics, protein structure prediction and protein design. Funnel landscapes describe protein folding and binding and explain how protein topology determines kinetics. Landscape-optimized energy functions based on bioinformatic input have been used to correctly predict low-resolution protein structures and also to design novel proteins automatically.

Computer Simulation↗
PubMed2005

Simple energy landscape model for the kinetics of functional transitions in proteins.

It is evident that protein conformational transitions play important roles in biological machinery; however, detailed pictures of these transition processes capable of making kinetic prediction are not yet available. For a full description of these transitions, we first need to describe kinematically movements between stable states. Then, more importantly, a free energy profile associated with the conformational change needs to be obtained. Recently, a new model to describe the energy landscape of protein conformational changes was applied to the conformational transition of adenylate kinase. In this model, the conformational change coupled to the ligand binding is described as a switching between two energy surfaces that correspond to ligand bound and unbound states. The nonlinearity of the protein conformational changes is described through an iterative usage of normal mode calculations. In addition, another kind of nonlinearity enters the dynamics of the conformational transitions due to cracking, or partial unfolding, which may occur during the conformational transitions. The consequences of this theoretical model are explored in greater detail. An improved model for the cracking that includes the cooperativity of the partial unfolding in analogy to nucleation is introduced.

Allosteric Site↗
PubMed2005

Symmetry and frustration in protein energy landscapes: a near degeneracy resolves the Rop dimer-folding mystery.

Protein folding has become one of the best understood biochemical reactions from a kinetic viewpoint. The funneled energy landscape, a consequence of the minimal frustration achieved by evolution in sequences, explains how most proteins fold efficiently and robustly to their functional structure and allows robust prediction of folding kinetics. The folding of Rop (repressor of primer) dimer is exceptional because some of its mutants with a redesigned hydrophobic core both fold and unfold much faster than the WT protein, which seems to conflict with a simple funneled energy landscape for which topology mainly determines the kinetics. We propose that the mystery of Rop folding can be unraveled by assuming a double-funneled energy landscape on which there are two basins that correspond to distinct but related topological structures. Because of the near symmetry of the molecule, mutations can cause a conformational switch to a nearly degenerate yet distinct topology or lead to a mixture of both topologies. The topology predicted to have the lower free-energy barrier height for folding was further found by all-atom modeling to give a better structural fit for those mutants with the extreme folding and unfolding rates. Thus, the non-Hammond effects can be understood within energy-landscape theory if there are in fact two different but nearly degenerate structures for Rop. Mutations in symmetric and regular structures may give rise to frustration and thus result in degeneracy.

Biophysical Phenomena↗
PubMed2005

A survey of flexible protein binding mechanisms and their transition states using native topology based energy landscapes.

Many cellular functions rely on interactions between protein pairs and higher oligomers. We have recently shown that binding mechanisms are robust and owing to the minimal frustration principle, just as for protein folding, are governed primarily by the protein's native topology, which is characterized by the network of non-covalent residue-residue interactions. The detailed binding mechanisms of nine dimers, a trimer, and a tetramer, each involving different degrees of flexibility and plasticity during assembly, are surveyed here using a model that is based solely on the protein topology, having a perfectly funneled energy landscape. The importance of flexibility in binding reactions is manifested by the fly-casting effect, which is diminished in magnitude when protein flexibility is removed. Many of the grosser and finer structural aspects of the various binding mechanisms (including binding of pre-folded monomers, binding of intrinsically unfolded monomers, and binding by domain-swapping) predicted by the native topology based landscape model are consistent with the mechanisms found in the laboratory. An asymmetric binding mechanism is often observed for the formation of the symmetric homodimers where one monomer is more structured at the binding transition state and serves as a template for the folding of the other monomer. Phi values were calculated to show how the structure of the binding transition state ensemble would be manifested in protein engineering studies. For most systems, the simulated Phi values are reasonably correlated with the available experimental values. This agreement suggests that the overall binding mechanism and the nature of the binding transition state ensemble can be understood from the network of interactions that stabilize the native fold. The Phi values for the formation of an antibody-antigen complex indicate a possible role for solvation of the interface in biomolecular association of large rigid proteins.

Antigen-Antibody Complex↗
PubMed2005

Overcoming residual frustration in domain-swapping: the roles of disulfide bonds in dimerization and aggregation.

The prevalence of domain-swapping in nature is a manifestation of the principle of minimal frustration in that the interactions designed by evolution to stabilize the protein are also involved in this mode of binding. We previously demonstrated that the Symmetrized-Go potential accurately predicts the experimentally observed domain-swapped structure of Eps8 based solely on the structure of the monomer. There can be, however, multiple modes of domain-swapping, reflecting a higher level of frustration, which is a consequence of symmetry. The human prion and cyanovirin-N are too frustrated to form unique domain-swapped structures on the basis of the Symmetrized-Go potential. However, supplementing the completely symmetric model with intermolecular and intramolecular disulfide bonds in the prion and cyanovirin-N proteins, respectively, yielded unique domain-swapped structures with a remarkable similarity to the experimentally observed ones. These results suggest that the disulfide bonds may sometimes be critical in overcoming the intrinsic frustration of the symmetrized energy landscapes for domain-swapping. We also discuss the implications of intermolecular disulfide bonds in the formation of mammalian prion aggregates.

Amino Acid Sequence↗
PubMed2005

The folding energy landscape and phosphorylation: modeling the conformational switch of the NFAT regulatory domain.

An energy landscape approach predicts the conformational changes of the configurations of the regulatory domain of the protein nuclear factor of activated T cells (NFAT) caused by phosphorylation of specific multiple sites. Structurally local effects and secondary structural changes are modeled using all-atom Brownian dynamics to investigate the changes of the backbone torsional distributions upon phosphorylation. For tertiary and global changes, we employ a coarse-grained model to sample ensembles of conformations both with and without phosphorylation. At the secondary structure level, phosphorylation moderately increases the helical propensity and gives a more rigid local backbone conformation. The tertiary effects of phosphorylation caused by the extensive charge modification are more pronounced and collectively change the conformation of the regulatory domain of NFAT from a flexible globular ensemble to a rather rigid helical bundle, blocking access to the nuclear localization sequence. These studies give computational support to one scenario conjectured from experiments.

Amino Acid Sequence↗
PubMed2004

Self-consistent proteomic field theory of stochastic gene switches.

We present a self-consistent field approximation approach to the problem of the genetic switch composed of two mutually repressing/activating genes. The protein and DNA state dynamics are treated stochastically and on an equal footing. In this approach the mean influence of the proteomic cloud created by one gene on the action of another is self-consistently computed. Within this approximation a broad range of stochastic genetic switches may be solved exactly in terms of finding the probability distribution and its moments. A much larger class of problems, such as genetic networks and cascades, also remain exactly solvable with this approximation. We discuss, in depth, certain specific types of basic switches used by biological systems and compare their behavior to the expectation for a deterministic switch.

Animals↗
PubMed2004

Domain swapping is a consequence of minimal frustration.

The same energy landscape principles associated with the folding of proteins into their monomeric conformations should also describe how these proteins oligomerize into domain-swapped conformations. We tested this hypothesis by using a simplified model for the epidermal growth factor receptor pathway substrate 8 src homology 3 domain protein, both of whose monomeric and domain-swapped structures have been solved. The model, which we call the symmetrized Gō-type model, incorporates only information regarding the monomeric conformation in an energy function for the dimer to predict the domain-swapped conformation. A striking preference for the correct domain-swapped structure was observed, indicating that overall monomer topology is a main determinant of the structure of domain-swapped dimers. Furthermore, we explore the free energy surface for domain swapping by using our model to characterize the mechanism of oligomerization.

Binding Sites↗
PubMed2004

Theory of aging in structural glasses.

The random first-order transition theory of the dynamics of supercooled liquids is extended to treat aging phenomena in nonequilibrium structural glasses. A reformulation of the idea of "entropic droplets" in terms of libraries of local energy landscapes is introduced which treats in a uniform way the supercooled liquid (reproducing earlier results) and glassy regimes. The resulting microscopic theory of aging makes contact with the Nayaranaswamy-Moynihan-Tool nonlinear relaxation formalism and the Hodge-Scherer extrapolation of the Adam-Gibbs formula, but deviations from both approaches are predicted and shown to be consistent with experiment. The nonlinearity of glassy relaxation is shown to quantitatively correlate with liquid fragility. The residual non-Arrhenius temperature dependence of relaxation observed in quenched glasses is explained. The broadening of relaxation spectra in the nonequilibrium glass with decreasing temperature is quantitatively predicted. The theory leads to the prediction of spatially fluctuating fictive temperatures in the long-aged glassy state, which have non-Gaussian statistics. This can give rise to "ultraslow" relaxations in systems after deep quenches.

Glass↗
PubMed2004

The folding and dimerization of HIV-1 protease: evidence for a stable monomer from simulations.

HIV-1 protease (PR) is a major drug target in combating AIDS, as it plays a key role in maturation and replication of the virus. Six FDA-approved drugs are currently in clinical use, all designed to inhibit enzyme activity by blocking the active site, which exists only in the dimer. An alternative inhibition mode would be required to overcome the emergence of drug-resistance through the accumulation of mutations. This might involve inhibiting the formation of the dimer itself. Here, the folding of HIV-1 PR dimer is studied with several simulation models appropriate for folding mechanism studies. Simulations with an off-lattice Gō-model, which corresponds to a perfectly funneled energy landscape, indicate that the enzyme is formed by association of structured monomers. All-atom molecular dynamics simulations strongly support the stability of an isolated monomer. The conjunction of results from a model that focuses on the protein topology and a detailed all-atom force-field model suggests, in contradiction to some reported equilibrium denaturation experiments, that monomer folding and dimerization are decoupled. The simulation result is, however, in agreement with the recent NMR detection of folded monomers of HIV-1 PR mutants with a destabilized interface. Accordingly, the design of dimerization inhibitors should not focus only on the flexible N and C termini that constitute most of the dimer interface, but also on other structured regions of the monomer. In particular, the relatively high phi values for residues 23-35 and 79-87 in both the folding and binding transition states, together with their proximity to the interface, highlight them as good targets for inhibitor design.

Dimerization↗
PubMed2004

Stability and dynamics of crystals and glasses of motorized particles.

Many of the large structures of the cell, such as the cytoskeleton, are assembled and maintained far from equilibrium. We study the stabilities of various structures for a simple model of such a far-from-equilibrium organized assembly in which spherical particles move under the influence of attached motors. From the variational solutions of the many-body master equation for Brownian motion with motorized kicking we obtain a closed equation for the order parameter of localization. Thus, we obtain the transition criterion for localization and stability limits for the crystalline phase and frozen amorphous structures of motorized particles. The theory also allows an estimate of nonequilibrium effective temperatures characterizing the response and fluctuations of motorized asemblies.

Chemical Phenomena↗
PubMed2004

Water in protein structure prediction.

Proteins have evolved to use water to help guide folding. A physically motivated, nonpairwise-additive model of water-mediated interactions added to a protein structure prediction Hamiltonian yields marked improvement in the quality of structure prediction for larger proteins. Free energy profile analysis suggests that long-range water-mediated potentials guide folding and smooth the underlying folding funnel. Analyzing simulation trajectories gives direct evidence that water-mediated interactions facilitate native-like packing of supersecondary structural elements. Long-range pairing of hydrophilic groups is an integral part of protein architecture. Specific water-mediated interactions are a universal feature of biomolecular recognition landscapes in both folding and binding.

Computational Biology↗
PubMed2004

Optimizing physical energy functions for protein folding.

We optimize a physical energy function for proteins with the use of the available structural database and perform three benchmark tests of the performance: (1) recognition of native structures in the background of predefined decoy sets of Levitt, (2) de novo structure prediction using fragment assembly sampling, and (3) molecular dynamics simulations. The energy parameter optimization is based on the energy landscape theory and uses a Monte Carlo search to find a set of parameters that seeks the largest ratio deltaE(s)/DeltaE for all proteins in a training set simultaneously. Here, deltaE(s) is the stability gap between the native and the average in the denatured states and DeltaE is the energy fluctuation among these states. Some of the energy parameters optimized are found to show significant correlation with experimentally observed quantities: (1) In the recognition test, the optimized function assigns the lowest energy to either the native or a near-native structure among many decoy structures for all the proteins studied. (2) Structure prediction with the fragment assembly sampling gives structure models with root mean square deviation less than 6 A in one of the top five cluster centers for five of six proteins studied. (3) Structure prediction using molecular dynamics simulation gives poorer performance, implying the importance of having a more precise description of local structures. The physical energy function solely inferred from a structural database neither utilizes sequence information from the family of the target nor the outcome of the secondary structure prediction but can produce the correct native fold for many small proteins.

Algorithms↗
PubMed2004

Theory of protein folding.

Protein folding should be complex. Proteins organize themselves into specific three-dimensional structures, through a myriad of conformational changes. The classical view of protein folding describes this process as a nearly sequential series of discrete intermediates. In contrast, the energy landscape theory of folding considers folding as the progressive organization of an ensemble of partially folded structures through which the protein passes on its way to the natively folded structure. As a result of evolution, proteins have a rugged funnel-like landscape biased toward the native structure. Connecting theory and simulations of minimalist models with experiments has completely revolutionized our understanding of the underlying mechanisms that control protein folding.

Computer Simulation↗