High‐throughput identification of protein mutant stability computed from a double mutant fitness landscape

The effect of a mutation on protein stability is traditionally measured by genetic construction, expression, purification, and physical analysis using low‐throughput methods. This process is tedious and limits the number of mutants able to be examined in a single study. In contrast, functional fitness effects can be measured in a high‐throughput manner by various deep mutational scanning tools. Using protein GB 1, we have recently demonstrated the feasibility of estimating the mutational stability effect ( G) of single‐substitution based on the functional fitness profile of all double‐substitutions. The principle is to identify genetic backgrounds that have an exhausted stability margin. The functional effect of an additional substitution on these genetic backgrounds can then be used to compute the mutational G based on the biophysical relationship between functional fitness and thermodynamic stability. However, to identify such genetic backgrounds, the approach described in our previous study required a benchmark dataset, which is a set of known mutational G. In this study, a benchmark‐independent approach is developed. The genetic backgrounds of interest are identified using k‐means clustering with the integration of structural information. We further demonstrated that a reasonable approximation of G can also be obtained without taking structural information into account. In summary, this study describes a novel method for computing G from double‐substitution functional fitness profiles alone, without relying on any known mutational G as a benchmark.     

Thermodynamics of transfer ribonucleic acids: the effect of sodium on the thermal unfolding of yeast tRNAPhe.

The thermal unfolding of yeast phenylalanine-specific tRNA (tRNA^Phe) has been calorimetrically investigated at several salt concentrations in the absence of magnesium. Application of the deconvolution theory of macromolecular conformational transitions allows calculation of the thermodynamic parameters of unfolding. It is demonstrated that the unfolding of tRNA^Phe occurs in a sequential fashion and that four separate transitions or five macromolecular thermodynamic states exist in the temperature range 8–72°C under the experimental conditions of these studies (0.067–0.52M Na⁺). The enthalpy and entropy changes between states and the relative population of each state as a function of temperature and salt concentration have been obtained. Sodium stabilizes the low-temperature conformations of tRNA^Phe. The increase in the melting temperatures of each transition is shown to be linearly dependent on the logarithm of sodium concentration. These results allow calculation of the “phase” diagram for the transitions as a function of salt concentration.     

The fluorescence intensities ratio is not a reliable parameter for evaluation of protein unfolding transitions

Monitoring the fluorescence of proteins, particularly the fluorescence of intrinsic tryptophan residues, is a popular method often used in the analysis of unfolding transitions (induced by temperature, chemical denaturant, and pH) in proteins. The tryptophan fluorescence provides several suitable parameters, such as steady‐state fluorescence intensity, apparent quantum yield, mean fluorescence lifetime, position of emission maximum that are often utilized for the observation of the conformational/unfolding transitions of proteins. In addition, the fluorescence intensities ratio at different wavelengths (usually at 330 nm and 350 nm) is becoming an increasingly popular parameter for the evaluation of thermal transitions. We show that, under certain conditions, the use of this parameter for the analysis of unfolding transitions leads to the incorrect determination of thermodynamic parameters characterizing unfolding transitions in proteins (e.g., melting temperature) and, hence, can compromise the hit identification during high‐throughput drug screening campaigns.     

1,1,1,3,3,3-hexafluoroisopropanol induced thermal unfolding and molten globule state of bovine alpha-lactalbumin: calorimetric and spectroscopic studies

The thermal denaturation of alpha-lactalbumin was studied at pH 7.0 and 9.0 in aqueous 1,1,1,3,3,3-hexafluoroisopropanol (HFIP) by high-sensitivity differential scanning calorimetry. The conformation of the protein was analyzed by a combination of fluorescence and circular dichroism measurements. The most obvious effect of HFIP was lowering of the transition temperature with an increase in the concentration of the alcohol up to 0.30M, beyond which no calorimetric transition was observed. Up to 0.30M HFIP the calorimetric and van't Hoff enthalpy remained the same, indicating the validity of the two-state approximation for the thermal unfolding of alpha-lactalbumin. The quantitative thermodynamic parameters accompanying the thermal transitions have been evaluated. Spectroscopic observations confirm that alpha-lactalbumin is in the molten globule state in the presence of 0.50M HFIP at pH 7.0 and 0.75M HFIP at pH 9.0. The results also demonstrate that alpha-lactalbumin in the molten globule state undergoes a noncooperative thermal transition to the denatured state. It is observed that two of four tryptophans are exposed to the solvent in the HFIP induced molten globule state of alpha-lactalbumin compared to four in the 8.5M urea induced denatured state of the protein. It is also observed that the HFIP induced molten globule states at the two pH values are different from the acid induced molten globule state (A state) of alpha-lactalbumin.     

Applications of pressure perturbation calorimetry to study factors contributing to the volume changes upon protein unfolding

BackgroundPressure perturbation calorimetry (PPC) is a biophysical method that allows direct determination of the volume changes upon conformational transitions in macromolecules.Scope of this reviewThis review provides novel details of the use of PPC to analyze unfolding transitions in proteins. The emphasis is made on the data analysis as well as on the validation of different structural factors that define the volume changes upon unfolding. Four case studies are presented that show the application of these concepts to various protein systems.Major conclusionsThe major conclusions are:

• 1.Knowledge of the thermodynamic parameters for heat induced unfolding facilitates the analysis of the PPC profiles.
• 2.The changes in the thermal expansion coefficient upon unfolding appear to be temperature dependent.
• 3.Substitutions on the protein surface have negligible effects on the volume changes upon protein unfolding.
• 4.Structural plasticity of proteins defines the position dependent effect of amino acid substitutions of the residues buried in the native state.
• 5.Small proteins have positive volume changes upon unfolding which suggests difference in balance between the cavity/void volume in the native state and the hydration volume changes upon unfolding as compared to the large proteins that have negative volume changes.

General significanceThe information provided here gives a better understanding and deeper insight into the role played by various factors in defining the volume changes upon protein unfolding. This article is part of a Special Issue entitled Microcalorimetry in the BioSciences — Principles and Applications, edited by Fadi Bou-Abdallah.     

Non-linear effects of temperature and urea on the thermodynamics and kinetics of folding and unfolding of hisactophilin

Extensive measurements and analysis of thermodynamic stability and kinetics of urea-induced unfolding and folding of hisactophilin are reported for 5-50 degrees C, at pH 6.7. Under these conditions hisactophilin has moderate thermodynamic stability, and equilibrium and kinetic data are well fit by a two-state transition between the native and the denatured states. Equilibrium and kinetic m values decrease with increasing temperature, and decrease with increasing denaturant concentration. The betaF values at different temperatures and urea concentrations are quite constant, however, at about 0.7. This suggests that the transition state for hisactophilin unfolding is native-like and changes little with changing solution conditions, consistent with a narrow free energy profile for the transition state. The activation enthalpy and entropy of unfolding are unusually low for hisactophilin, as is also the case for the corresponding equilibrium parameters. Conventional Arrhenius and Eyring plots for both folding and unfolding are markedly non-linear, but these plots become linear for constant DeltaG/T contours. The Gibbs free energy changes for structural changes in hisactophilin have a non-linear denaturant dependence that is comparable to non-linearities observed for many other proteins. These non-linearities can be fit for many proteins using a variation of the Tanford model, incorporating empirical quadratic denaturant dependencies for Gibbs free energies of transfer of amino acid constituents from water to urea, and changes in fractional solvent accessible surface area of protein constituents based on the known protein structures. Noteworthy exceptions that are not well fit include amyloidogenic proteins and large proteins, which may form intermediates. The model is easily implemented and should be widely applicable to analysis of urea-induced structural transitions in proteins.     

The role of water in the reversibility of thermal denaturation of lysozyme in solid and liquid states

Although unfolding of protein in the liquid state is relatively well studied, its mechanisms in the solid state, are much less understood. We evaluated the reversibility of thermal unfolding of lysozyme with respect to the water content using a combination of thermodynamic and structural techniques such as differential scanning calorimetry, synchrotron small and wide-angle X-ray scattering (SWAXS) and Raman spectroscopy. Analysis of the endothermic thermal transition obtained by DSC scans showed three distinct unfolding behaviors at different water contents. Using SWAXS and Raman spectroscopy, we investigated reversibility of the unfolding for each hydration regime for various structural levels including overall molecular shape, secondary structure, hydrophobic and hydrogen bonding interactions. In the substantially dehydrated state below 37 wt% of water the unfolding is an irreversible process and can be described by a kinetic approach; above 60 wt% the process is reversible, and the thermodynamic equilibrium approach is applied. In the intermediate range of water contents between 37 wt% and 60 wt%, the system is phase separated and the thermal denaturation involves two processes: melting of protein crystals and unfolding of protein molecules. A phase diagram of thermal unfolding/denaturation in lysozyme - water system was constructed based on the experimental data.     

An NMR view of the folding process of a CheY mutant at the residue level

The folding of CheY mutant F14N/V83T was studied at 75 residues by NMR. Fluorescence, NMR, and sedimentation equilibrium studies at different urea and protein concentrations reveal that the urea-induced unfolding of this CheY mutant includes an on-pathway molten globule-like intermediate that can associate off-pathway. The populations of native and denatured forms have been quantified from a series of 15N-1H HSQC spectra recorded under increasing concentrations of urea. A thermodynamic analysis of these data provides a detailed picture of the mutant's unfolding at the residue level: (1) the transition from the native state to the molten globule-like intermediate is highly cooperative, and (2) the unfolding of this state is sequential and yields another intermediate showing a collapsed N-terminal domain and an unfolded C-terminal tail. This state presents a striking similarity to the kinetic transition state of the CheY folding pathway.     

Stable,metastable, and supercritical phases in solutions of globular proteins between upper and lower denaturation temperatures

The temperature trends of the standard thermodynamic functions of the native and denatured protein in solution are considered within the concept of excess mixing functions. It is assumed that some protein molecules adopt an intermediate state between native and denatured forms within the temperature range between cold and thermal denaturation and form metastable microphases as a result of a specific interaction with water. A phase diagram in the temperature–standard entropy coordinate plane representing an isobar family is proposed. Two limiting isobars are characterized by an entropy jump, which reflects the first-order phase transition between the native and denatured states. The isobars in the intermediate temperature range are represented as van der Waals curves, which reflect the equilibrium between the main phase of the molecules in native state and microphases. The difference between the phases disappears at critical points. It is assumed that the supercritical range is a macroscopically homogeneous single phase zone of reduced stability, which is represented by a dynamic system of monomers and oligomers of the native protein, monomers and clusters of the protein with partially unfolded structure. The phase diagram is collated with the elliptic phase diagram in the temperature–osmotic pressure plane.     

Thermodynamic properties of the effector domains of MARTX toxins suggest their unfolding for translocation across the host membrane

MARTX (multifunctional autoprocessing repeats‐in‐toxin) family toxins are produced by Vibrio cholerae, Vibrio vulnificus, Aeromonas hydrophila and other Gram‐negative bacteria. Effector domains of MARTX toxins cross the cytoplasmic membrane of a host cell through a putative pore formed by the toxin's glycine‐rich repeats. The structure of the pore is unknown and the translocation mechanism of the effector domains is poorly understood. We examined the thermodynamic stability of the effector domains of V. cholerae and A. hydrophila MARTX toxins to elucidate the mechanism of their translocation. We found that all but one domain in each toxin are thermodynamically unstable and several acquire a molten globule state near human physiological temperatures. Fusion of the most stable cysteine protease domain to the adjacent effector domain reduces its thermodynamic stability ～ 1.4‐fold (from 21.8 to 16.1 kJ mol^?1). Precipitation of several individual domains due to thermal denaturation is reduced upon their fusion into multi‐domain constructs. We speculate that low thermostability of the MARTX effector domains correlates with that of many other membrane‐penetrating toxins and implies their unfolding for cell entry. This study extends the list of thermolabile bacterial toxins, suggesting that this quality is essential and could be susceptible for selective targeting of pathogenic toxins.     

Exploring the Denatured State Ensemble by Single-Molecule Chemo-Mechanical Unfolding: The Effect of Force,Temperature, and Urea

While it is widely appreciated that the denatured state of a protein is a heterogeneous conformational ensemble, there is still debate over how this ensemble changes with environmental conditions. Here, we use single-molecule chemo-mechanical unfolding, which combines force and urea using the optical tweezers, together with traditional protein unfolding studies to explore how perturbants commonly used to unfold proteins (urea, force, and temperature) affect the denatured-state ensemble. We compare the urea m-values, which report on the change in solvent accessible surface area for unfolding, to probe the denatured state as a function of force, temperature, and urea. We find that while the urea- and force-induced denatured states expose similar amounts of surface area, the denatured state at high temperature and low urea concentration is more compact. To disentangle these two effects, we use destabilizing mutations that shift the T_m and C_m. We find that the compaction of the denatured state is related to changing temperature as the different variants of acyl-coenzyme A binding protein have similar m-values when they are at the same temperature but different urea concentration. These results have important implications for protein folding and stability under different environmental conditions.     

Chemically crosslinked protein dimers: stability and denaturation effects.

Nine single substitution cysteine mutants of staphylococcal nuclease (nuclease) were preferentially crosslinked at the introduced cysteine residues using three different bifunctional crosslinking reagents; 1,6-bismaleimidohexane (BMH), 1,3-dibromo-2-propanol (DBP), and the chemical warfare agent, mustard gas (bis(2-chloroethyl)sulfide; mustard). BMH and mustard gas are highly specific reagents for cysteine residues, whereas DBP is not as specific. Guanidine hydrochloride (GuHCl) denaturations of the resulting dimeric proteins exhibited biphasic unfolding behavior that did not fit the two-state model of unfolding. The monofunctional reagent, epsilon-maleimidocaproic acid (MCA), was used as a control for the effects of alkylation. Proteins modified with MCA unfolded normally, showing that this unusual unfolding behavior is due to crosslinking. The data obtained from these crosslinked dimers was fitted to a three-state thermodynamic model of two successive transitions in which the individual subunits cooperatively unfold. These two unfolding transitions were very different from the unfolding of the monomeric protein. These differences in unfolding behavior can be attributed in large part to changes in the denatured state. In addition to GuHCl titrations, the crosslinked dimers were also thermally unfolded. In contrast to the GuHCl denaturations, analysis of this data fit a two-state model well, but with greatly elevated van't Hoff enthalpies in many cases. However, clear correlations between the thermal and GuHCl denaturations exist, and the differences in thermal unfolding can be rationalized by postulating interactions of the denatured crosslinked proteins.     

Thermal,Chemical and pH Induced Denaturation of a Multimeric β-Galactosidase Reveals Multiple Unfolding Pathways

Background

In this case study, we analysed the properties of unfolded states and pathways leading to complete denaturation of a multimeric chick pea β-galactosidase (CpGAL), as obtained from treatment with guanidium hydrochloride, urea, elevated temperature and extreme pH.

Methodology/Principal Findings

CpGAL, a heterodimeric protein with native molecular mass of 85 kDa, belongs to α+β class of protein. The conformational stability and thermodynamic parameters of CpGAL unfolding in different states were estimated and interpreted using circular dichroism and fluorescence spectroscopic measurements. The enzyme was found to be structurally and functionally stable in the entire pH range and upto 50°C temperature. Further increase in temperature induces unfolding followed by aggregation. Chemical induced denaturation was found to be cooperative and transitions were irreversible, non-coincidental and sigmoidal. Free energy of protein unfolding (ΔG₀) and unfolding constant (K_obs) were also calculated for chemically denatured CpGAL.

Significance

The protein seems to use different pathways for unfolding in different environments and is a classical example of how the environment dictates the path a protein might take to fold while its amino acid sequence only defines its final three-dimensional conformation. The knowledge accumulated could be of immense biotechnological significance as well.     

Macromolecular rate theory (MMRT) provides a thermodynamics rationale to underpin the convergent temperature response in plant leaf respiration

Temperature is a crucial factor in determining the rates of ecosystem processes, for example, leaf respiration (R) – the flux of plant respired CO₂ from leaves to the atmosphere. Generally, R increases exponentially with temperature and formulations such as the Arrhenius equation are widely used in earth system models. However, experimental observations have shown a consequential and consistent departure from an exponential increase in R. What are the principles that underlie these observed patterns? Here, we demonstrate that macromolecular rate theory (MMRT), based on transition state theory (TST) for enzyme‐catalyzed kinetics, provides a thermodynamic explanation for the observed departure and the convergent temperature response of R using a global database. Three meaningful parameters emerge from MMRT analysis: the temperature at which the rate of respiration would theoretically reach a maximum (the optimum temperature, T_opt), the temperature at which the respiration rate is most sensitive to changes in temperature (the inflection temperature, T_inf) and the overall curvature of the log(rate) versus temperature plot (the change in heat capacity for the system, ). On average, the highest potential enzyme‐catalyzed rates of respiratory enzymes for R are predicted to occur at 67.0 ± 1.2°C and the maximum temperature sensitivity at 41.4 ± 0.7°C from MMRT. The average curvature (average negative ) was ?1.2 ± 0.1 kJ mol^?1 K^?1. Interestingly, T_opt, T_inf and appear insignificantly different across biomes and plant functional types, suggesting that thermal response of respiratory enzymes in leaves could be conserved. The derived parameters from MMRT can serve as thermal traits for plant leaves that represent the collective temperature response of metabolic respiratory enzymes and could be useful to understand regulations of R under a warmer climate. MMRT extends the classic TST to enzyme‐catalyzed reactions and provides an accurate and mechanistic model for the short‐term temperature response of R around the globe.     

Comparative effects of ammonium,nitrate and urea on growth and photosynthetic efficiency of three bloom‐forming cyanobacteria

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Flexibility and viscometric studies of globular proteins ovalbumin and ovotransferrin

The ultrasonic velocity, density and viscosity of two egg proteins, ovalbumin and ovotransferrin in phosphate buffer have been studied at the physiological pH values. The thermodynamic functions for unfolding, ellipticity, surface amino acid residues and compressibility have been obtained for thermal and chemical denaturation in these food proteins. The computed values of Huggin's constant and shape factor, at a fixed ionic strength 0.16 M are found to be in agreement with the reported values for globular proteins. The slow increase in free-energy of unfolding with temperature at a fixed pH 7 suggests uncoiling and in turn, disappearance of biological activity. It has been observed that the effects of temperature and chemical denaturant on the native protein may give rise to different conformational states. In the presence of urea and sodium dodecyl sulphate (SDS), the proteins gave the excessively denatured states at 25 degrees C and pH 7, in comparison to the thermal denatured state. The positive values of partial adiabatic compressibility (see symbol in text) beta s over the temperature range 45-75 degrees C suggest the possibility of large internal flexibility in ovotransferrin than in ovalbumin.     

Thermodynamics of unfolding of beta-trypsin at pH 2.8

The unfolding equilibrium of beta-trypsin induced by thermal and chemical denaturation was thermodynamically characterized. Thermal unfolding equilibria were monitored using UV absorption and both far- and near-UV CD spectroscopy, while fluorescence was used to monitor urea-induced transitions. Thermal and urea transition curves are reversible and cooperative and both sets of data can be reasonably fitted using a two-state model for the unfolding of this protein. Plots of the fraction denatured, calculated from thermal denaturation curves at different wavelengths, versus temperature are coincident. In addition, the ratio of the enthalpy of denaturation obtained by scanning calorimetry to the van't Hoff enthalpy is close to unity, which supports the two-state model. Considering the differences in experimental approaches, the value for the stability of beta-trypsin estimated from spectroscopic data (deltaGu = 6.0 +/- 0.2 kcal/mol) is in reasonable agreement with the value calculated from urea titration curves (deltaGUH2O = 5.5 +/- 0.3 kcal/mol) at pH 2.8 and 300 degrees K.     

Thermodynamics elucidation of the structural stability of a thermophilic protein

The structural stability of the protein, phycocyanin isolated from two strains of cyanophyta, Synechococcus lividus (thermophile) and Phormidium luridum (mesophile), are investigated by comparative thermal and denaturant unfolding, using differential scanning calorimetry, visible absorption spectrophotometry, and circular dichroism. The thermophilic protein exhibits a much higher temperature and enthalpy of unfolding from the native to the denatured state. The concentration of urea at half-completion of thermal unfolding is essentially the same between the thermophilic and mesophilic proteins; in contrast, the corresponding temperature and the enthalpy of thermal unfolding are much higher for the thermophilic protein. In addition, the concentration of urea at which the non-thermal (denaturant) unfolding of protein is half-completed, as detected by either circular dichroism or absorption spectroscopy, is significantly higher in the thermophilic protein, while the apparent free energy of unfolding only shows a moderate difference between the two proteins. The distinct differences in the enthalpy of thermal unfolding and the free energy of denaturant unfolding are interpreted in terms of a significant entropy change associated with the unfolding of these proteins. This entropy contribution is much higher in the thermophilic protein, and may be derived from its more rigid overall structure that possesses higher internal hydrophobicity and stronger internal packing.     

Comparison of temperature effect on the guanidine hydrochloride and urea denaturations of lysozyme

Guanidine hydrochloride (GdnHCl) and urea denaturations of lysozyme have been observed at various temperatures by measuring changes in fluorescence. Both transitions appear to be two state, with GdnHCl almost twice as effecitve a denaturant as urea for this protein. By plotting the denaturant concentrations at midpoint of the transition vs. the experimental temperature, it can be demonstrated that urea-denatured lysozyme does not obtain the degree of unfolding found in lysozyme denatured by GdnHCl.