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Martin Gruebele

Publications and source records attributed to Martin Gruebele.

11 recordsLinked to original sources

Heterogeneous folding of the trpzip hairpin: full atom simulation and experiment.

The beta-hairpin trpzip2 can be tuned continuously from a two-state folder to folding on a rough energy landscape without a dominant refolding barrier. At high denaturant concentration, this extremely stable peptide exhibits a single apparent "two-state" transition temperature when monitored by different spectroscopic techniques. However, under optimal folding conditions the hairpin undergoes an unusual folding process with three clusters of melting transitions ranging from 15 degrees C to 160 degrees C, as monitored by 12 different experimental and computational observables. We explain this behavior in terms of a rough free energy landscape of the unfolded peptide caused by multiple tryptophan interactions and alternative backbone conformations. The landscape is mapped out by potentials of mean force derived from replica-exchange molecular dynamics simulations. Implications for deducing cooperativity from denaturant titrations, for the origin of folding cooperativity, and for the folding of thermophilic proteins are pointed out. trpzip is an excellent small tunable model system for the glass-like folding transitions predicted by landscape theory.

Circular Dichroism↗

On the extended beta-conformation propensity of polypeptides at high temperature.

At room temperature, natural polypeptides exposed to high concentrations of a strong denaturant nearly attain the circular dichroism spectra characteristic of random coils. As temperature is increased, the spectra begin to show the signature of a substantial fraction of extended chain, the structure common in beta-sheets. This structural propensity at high temperature is not altered by concentration changes over a greater than 1000-fold range, so it is not caused by aggregation. Four proteins with different folds and varying amounts of alpha-helical and beta-sheet secondary structure, in the presence or absence of denaturant, all were subject to extended chain formation upon heating. This effect arises naturally from the steric constraints associated with polypeptides and is probably counteracted, not enhanced, by hydrophobic interactions. Molecular dynamics simulations in the 298-1000 K range reveal an attractive potential of mean force in the extended chain region of the Ramachandran diagram, which broadens as the temperature is raised. We also demonstrate a direct correlation between extended structure content and the rate of aggregation kinetics. Thus pre-existing extended structure could funnel proteins into aggregates.

Circular Dichroism↗

Tuning the heterogeneous early folding dynamics of phosphoglycerate kinase.

We recently reported stretched kinetics during the formation of a collapsed, long-lived intermediate state of the large two-domain enzyme phosphoglycerate kinase (PGK). It was postulated that intrinsic roughness of the energy landscape on the way downhill to the intermediate causes the lack of a single time-scale. Here, we investigate several alternative explanations for stretched refolding dynamics in more detail: tyrosine fluorescence, multiple tryptophan probes, and rate differences between independently folding domains. To this end, we systematically simplify PGK in several steps from the full protein with two tryptophan residues and all tyrosine residues probed, to a single domain with only one tryptophan residue and no tyrosine residue probed. The kinetics in the 10 micros to 10 ms range are revealed by laser-induced temperature-jump relaxation experiments. The isolated N-terminal domain forms an intermediate by nearly single-exponential kinetics, but the isolated C-terminal domain shows strongly non-exponential kinetics. Thus, domain interaction and a cis-proline residue between the two domains are ruled out as the sole contributors to heterogeneity during the earliest folding dynamics of the C-terminal domain. We apply two limiting models for the roughness of the energy landscape. A sequential three-state model lumps all the roughness into a single trap. The "strange kinetics" model with logarithmic oscillations developed by Klafter and co-workers distributes the roughness over a larger number of states. Both models explain our data about equally well, but the coincidental values of rate constants in all of our double-exponential fits, and the absence of a spectroscopic signature distinct from the endpoints of the folding process favors more roughness than can be explained by just a single trap.

Circular Dichroism↗

Folding at the speed limit.

Many small proteins seem to fold by a simple process explicable by conventional chemical kinetics and transition-state theory. This assumes an instant equilibrium between reactants and a high-energy activated state. In reality, equilibration occurs on timescales dependent on the molecules involved, below which such analyses break down. The molecular timescale, normally too short to be seen in experiments, can be of a significant length for proteins. To probe it directly, we studied very rapidly folding mutants of the five-helix bundle protein lambda(6-85), whose activated state is significantly populated during folding. A time-dependent rate coefficient below 2 micro s signals the onset of the molecular timescale, and hence the ultimate speed limit for folding. A simple model shows that the molecular timescale represents the natural pre-factor for transition state models of folding.

Circular Dichroism↗

Tuning the free-energy landscape of a WW domain by temperature, mutation, and truncation.

The equilibrium unfolding of the Formin binding protein 28 (FBP) WW domain, a stable three-stranded beta-sheet protein, can be described as reversible apparent two-state folding. Kinetics studied by laser temperature jump reveal a third state at temperatures below the midpoint of unfolding. The FBP free-energy surface can be tuned between three-state and two-state kinetics by changing the temperature, by truncation of the C terminus, or by selected point mutations. FBP WW domain is the smallest three-state folder studied to date and the only one that can be freely tuned between three-state and apparent two-state folding by several methods (temperature, truncation, and mutation). Its small size (28-37 residues), the availability of a quantitative reaction coordinate (phi(T)), the fast folding time scale (10s of micros), and the tunability of the folding routes by small temperature or sequence changes make this system the ideal prototype for studying more subtle features of the folding free-energy landscape by simulations or analytical theory.

Amino Acid Sequence↗

Proline can have opposite effects on fast and slow protein folding phases.

Proline isomerization is well known to cause additional slow phases during protein refolding. We address a new question: does the presence of prolines significantly affect the very fast kinetics that lead to the formation of folding intermediates? We examined both the very slow (10-100 min) and very fast (4 micro s-2.5 ms) folding kinetics of the two-domain enzyme yeast phosphoglycerate kinase by temperature-jump relaxation. Phosphoglycerate kinase contains a conserved cis-proline in position 204, in addition to several trans-prolines. Native cis-prolines have the largest effect on folding kinetics because the unfolded state favors trans isomerization, so we compared the kinetics of a P204H mutant with the wild-type as a proof of principle. The presence of Pro-204 causes an additional slow phase upon refolding from the cold denatured state, as reported in the literature. Contrary to this, the fast folding events are sped up in the presence of the cis-proline, probably by restriction of the conformational space accessible to the molecule. The wild-type and Pro204His mutant would be excellent models for off-lattice simulations probing the effects of conformational restriction on short timescales.

Enzyme Activation↗

Time-resolved dissociation of the light-harvesting 1 complex of Rhodospirillum rubrum, studied by infrared laser temperature jump.

For the first time, data are presented on the time-resolved disassembly reaction of a highly organized membrane protein complex in vitro. The photosynthetic core light-harvesting complex of the bacterial strain Rhodospirillum rubrum G9 consists of 12-16 dimeric subunits that in vivo are associated with the photosynthetic reaction center in a ringlike manner. Isolated in a detergent solution, its appearance either as a ringlike complex (called B873 and absorbing at 873 nm), subunit dimer (called B820 and absorbing at 820 nm), or monomeric form (called B777 and absorbing at 777 nm) is strongly temperature-dependent. In thermodynamic equilibria between B820 and B873, intermediate-sized complexes have also been observed that have absorption maxima around 850 nm. It is unknown whether these structures appear as intermediates in the kinetic B820-B873 (dis)assembly reaction. In this paper disassembly of the light-harvesting complex into its dimeric subunits was followed spectroscopically on a time scale up to 200 ms, upon applying an infrared laser-induced temperature jump. The full dissociation process appears to take place on a time scale of tens to hundreds of milliseconds, the rates becoming faster at higher starting temperatures. Applying the same technique, the dissociation reaction of dimeric subunits into monomers also could be established. This dissociation process occurred on a much faster time scale and took place within the 500 micros response time of our detection system.

Bacterial Proteins↗

Absolute comparison of simulated and experimental protein-folding dynamics.

Protein folding is difficult to simulate with classical molecular dynamics. Secondary structure motifs such as alpha-helices and beta-hairpins can form in 0.1-10 micros (ref. 1), whereas small proteins have been shown to fold completely in tens of microseconds. The longest folding simulation to date is a single 1- micro s simulation of the villin headpiece; however, such single runs may miss many features of the folding process as it is a heterogeneous reaction involving an ensemble of transition states. Here, we have used a distributed computing implementation to produce tens of thousands of 5-20-ns trajectories (700 micros) to simulate mutants of the designed mini-protein BBA5. The fast relaxation dynamics these predict were compared with the results of laser temperature-jump experiments. Our computational predictions are in excellent agreement with the experimentally determined mean folding times and equilibrium constants. The rapid folding of BBA5 is due to the swift formation of secondary structure. The convergence of experimentally and computationally accessible timescales will allow the comparison of absolute quantities characterizing in vitro and in silico (computed) protein folding.

Amino Acid Sequence↗

What causes hyperfluorescence: folding intermediates or conformationally flexible native states?

Hyperfluorescent intensity maxima during protein unfolding titrations are often taken as a sign for a thermodynamic folding intermediate. Here we explore another possibility: that hyperfluorescence could be the signature of a "pretransition" conformationally loosened native state. To model such native states, we study mutants of a fluorescent ubiquitin variant, placing cavities at various distances from the tryptophan fluorophore. We examine the correlation between protein flexibility and enhanced fluorescence intensity by using circular dichroism, fluorescence intensity unfolding titrations, fluorescence anisotropy measurements, and molecular dynamics. Based on experiment and simulation, we propose a simple model for hyperfluorescence in terms of static and dynamic conformational properties of the native state during unfolding. Apomyoglobin denaturant unfolding and phosphoglycerate kinase cold denaturation are discussed as examples. Our results do not preclude the existence of thermodynamic intermediates but do raise caution that by itself, hyperfluorescence during unfolding titrations is not conclusive proof of thermodynamic folding intermediates.

Anisotropy↗

Protein folding: the free energy surface.

Quantitative models and experiments are revealing how the folding free energy surface of a protein is sculpted by sequence and environment. The sometimes conflicting demands of folding, structure and function determine which folding pathways, if any, dominate. Recent advances include experimental estimates of diffusive barrier-crossing times, the observation of ultrafast folders amenable to full-atom simulation, the use of thermodynamic tuning and nonconservative mutations to probe 'hidden' parts of the free energy surface, and a complete microscopic theory of folding.

Protein Folding↗