Decrease In Conformational Entropy Research Articles

Effects of Conformational Constraint on Peptide Solubility Limits.

Liquid-liquid phase separation of proteins preferentially involves intrinsically disordered proteins or disordered regions. Understanding the solution chemistry of these phase separations is key to learning how to quantify and manipulate systems that involve such processes. Here, we investigate the effect of cyclization on the liquid-liquid phase separation of short polyglycine peptides. We simulated separate aqueous systems of supersaturated cyclic and linear GGGGG and observed spontaneous liquid-liquid phase separation in each of the solutions. The cyclic GGGGG phase separates less robustly than linear GGGGG and has a higher aqueous solubility, even though linear GGGGG has a more favorable single molecule solvation free energy. The versatile and abundant interpeptide contacts formed by the linear GGGGG stabilize the condensed droplet phase, driving the phase separation in this system. In particular, we find that van der Waals close contact interactions are enriched in the droplet phase as opposed to electrostatic interactions. An analysis of the change in backbone conformational entropy that accompanies the phase transition revealed that cyclic peptides lose significantly less entropy in this process as expected. However, we find that the enhanced interaction enthalpy of linear GGGGG in the droplet phase is enough to compensate for a larger decrease in conformational entropy.

Thermodynamic investigation on melting and recrystallization of poly(dimethylsiloxane) rubbers under strain

In order to clarify the melting and crystallization properties of poly(dimethylsiloxane) (PDMS) rubbers under strain, heat capacity measurements were conducted for stretched PDMS rubbers by adiabatic calorimetry in the temperature range 78–300 K. Upon stretching to the elongation ratio of 2.56, the fusion temperature T fus increased by 4 K, the fusion peak in heat capacity broadened, and the enthalpy of fusion Δ fus H increased by 3.6%. The increase in Δ fus H was due to the change of internal energy both in the rubbery and crystalline state. The increase in T fus was related to these changes in internal energy and the decrease in conformational entropy in the rubbery state. Broadening of the fusion peak indicated the wider distribution of crystal size. The measurements of the samples recrystallized at different temperatures revealed that the crystal thickening ratio and recrystallization kinetic rate increased with stretching ratios. • Fusion temperature of PDMS rubber increases under strain. • Enthalpy of fusion Δ fus H increases under strain due to the change of internal energy both in the rubbery and crystalline state. • Crystal thickening ratio and recrystallization rate increase with stretching ratios.

Tying up the Loose Ends: A Mathematically Knotted Protein.

Knots have attracted scientists in mathematics, physics, biology, and engineering. Long flexible thin strings easily knot and tangle as experienced in our daily life. Similarly, long polymer chains inevitably tend to get trapped into knots. Little is known about their formation or function in proteins despite >1,000 knotted proteins identified in nature. However, these protein knots are not mathematical knots with their backbone polypeptide chains because of their open termini, and the presence of a “knot” depends on the algorithm used to create path closure. Furthermore, it is generally not possible to control the topology of the unfolded states of proteins, therefore making it challenging to characterize functional and physicochemical properties of knotting in any polymer. Covalently linking the amino and carboxyl termini of the deeply trefoil-knotted YibK from Pseudomonas aeruginosa allowed us to create the truly backbone knotted protein by enzymatic peptide ligation. Moreover, we produced and investigated backbone cyclized YibK without any knotted structure. Thus, we could directly probe the effect of the backbone knot and the decrease in conformational entropy on protein folding. The backbone cyclization did not perturb the native structure and its cofactor binding affinity, but it substantially increased the thermal stability and reduced the aggregation propensity. The enhanced stability of a backbone knotted YibK could be mainly originated from an increased ruggedness of its free energy landscape and the destabilization of the denatured state by backbone cyclization with little contribution from a knot structure. Despite the heterogeneity in the side-chain compositions, the chemically unfolded cyclized YibK exhibited several macroscopic physico-chemical attributes that agree with theoretical predictions derived from polymer physics.

Molecular Mechanisms of Membrane Curvature Sensing by a Disordered Protein.

The ability of proteins to sense membrane curvature is essential for the initiation and assembly of curved membrane structures. Established mechanisms of curvature sensing rely on proteins with specific structural features. In contrast, it has recently been discovered that intrinsically disordered proteins, which lack a defined three-dimensional fold, can also be potent sensors of membrane curvature. How can an unstructured protein sense the structure of the membrane surface? Many disordered proteins that associate with membranes have two key physical features: a high degree of conformational entropy and a high net negative charge. Binding of such proteins to membrane surfaces results simultaneously in a decrease in conformational entropy and an increase in electrostatic repulsion by anionic lipids. Here we show that each of these effects gives rise to a distinct mechanism of curvature sensing. Specifically, as the curvature of the membrane increases, the steric hindrance between the disordered protein and membrane is reduced, leading to an increase in chain entropy. At the same time, increasing membrane curvature increases the average separation between anionic amino acids and lipids, creating an electrostatic preference for curved membranes. Using quantitative imaging of membrane vesicles, our results demonstrate that long disordered amino acid chains with low net charge sense curvature predominately through the entropic mechanism. In contrast, shorter, more highly charged amino acid chains rely largely on the electrostatic mechanism. These findings provide a roadmap for predicting and testing the curvature sensitivity of the large and diverse set of disordered proteins that function at cellular membranes.

Ion\u2013ion interactions in the denatured state contribute to the stabilization of CutA1 proteins

In order to elucidate features of the denatured state ensembles that exist in equilibrium with the native state under physiological conditions, we performed 1.4-μs molecular dynamics (MD) simulations at 400 K and 450 K using the monomer subunits of three CutA1 mutants from Escherichia coli: an SH-free mutant (Ec0SH) with denaturation temperature (Td) = 85.6 °C, a hydrophobic mutant (Ec0VV) with Td = 113.3 °C, and an ionic mutant (Ec0VV_6) with Td = 136.8 °C. The occupancy of salt bridges by the six substituted charged residues in Ec0VV_6 was 140.1% at 300 K and 89.5% at 450 K, indicating that even in the denatured state, salt bridge occupancy was high, approximately 60% of that at 300 K. From these results, we can infer that proteins from hyperthermophiles with a high ratio of charged residues are stabilized by a decrease in conformational entropy due to ion–ion interactions in the denatured state. The mechanism must be comparable to the stabilization conferred by disulfide bonds within a protein. This suggests that introduction of charged residues, to promote formation of salt bridges in the denatured state, would be a simple way to rationally design stability-enhanced mutants.

NMR Study of Elastin's Elasticity Mechanism

Elastin is the most abundant elastomer in nature. The recoil mechanism is believed to be entropically driven for which there re two molecular level theories. Recoil in one theory is a rubber-like mechanism in which the decrease in entropy with stretch is due to a decrease in conformational entropy from backbone ordering. The alternative is a decrease in solvent entropy with stretch from solvent ordering, i.e., the hydrophobic effect. Using a novel double quantum (2Q) pulse sequence in solid state NMR; water ordering at elastin fiber surface was studied quantitatively. We find that water is weakly oriented at the Elastin-water surface when the fiber is relaxed and stretching the fiber or increasing the temperature significantly increases the 2Q signal, i.e., increases the ordered water fraction. Furthermore, the 2Q signal decreases with the addition of high molecular weight polyethylene glycol (20kDa or 6kDa PEG) that is known to precipitate proteins and decrease their hydration in solution. We believe PEG causes less water to be available on the fibers surface and thus less ordered water. Also, this is likely the reason why the fibers become less flexible. Our preliminary results in both water and high molecular weight PEG experiments directly correlate the recoil mechanism with the hydrophobic effect.

Effect of urea and alkylureas on the stability and structural fluctuation of the M80-containing Ω-loop of horse cytochrome c

The effect of denaturants on the structural fluctuation of M80-containing Ω-loop of ferrocytochrome c was determined by measuring the rate coefficient of CO-association with ferrocytochrome c under varying concentrations of urea and alkylureas (methylurea (MU), N,N'-dimethylurea (DMU), ethylurea (EU), tetramethylurea (TMU)) at pH7.0, 25°C. As denaturant concentration is increased within the subdenaturing limit, the CO-association reaction is decelerated indicating that subdenaturing concentrations of denaturant reduce the structural fluctuation of the Ω-loop. Structural fluctuation of the Ω-loop is reduced more for urea and least for TMU. Intermolecular docking between horse cytochrome c and denaturant molecule (urea, MU, DMU, EU and TMU) reveals that polyfunctional interactions between the denaturant and different groups of Ω-loop and other part of protein decrease with an increase of alkyl group on urea molecule, which suggests that the decrease in the extent of restricted dynamics of Ω-loop with a corresponding increase of alkyl groups on urea molecule is due to the decrease of denaturant-mediated cross-linking interactions. These denaturant-mediated interactions are expected to reduce the conformational entropy of protein. Analysis of rate-temperature data shows a progressive decrease in conformational entropy of protein in the native to subdenaturing region. Thermodynamic analysis of denaturant (urea, MU, DMU, EU, TMU) effects on the thermal unfolding of ferrocytochrome c reveals that (i) thermodynamic stability of protein decreases with increasing concentration of denaturant or hydrophobicity of urea derivatives, (ii) water activity plays an important role in stabilization of ferrocytochrome c, and (iii) destabilization of ferrocytochrome c by denaturant occurs through the disturbance of hydrophobic interactions and hydrogen-bonding.

Stereoselectivity by Enantiomeric Inhibitors of Matrix Metalloproteinase-8: New Insights from Molecular Dynamics Simulations

Molecular Dynamics simulations in aqueous solution were performed for the matrix metalloproteinase-8 (MMP-8) free catalytic domain and for its complexes with the (R)- and (S)-[1-(4'-methoxybiphenyl-4-sulfonylamino)-2-methylpropyl] phosphonate. The 144-155 loop of the enzyme undergoes a drastic decrease of mobility once complexed with both enantiomers. The two enantiomers induce a different decrease of conformational entropy upon complexation. The higher affinity of the R-enantiomer can be related to the lower loss of conformational entropy accompanying its binding. The differences in the dynamical behavior of the protein induced by the two enantiomers are discussed at molecular level and the mode of binding of the simulated complexes is compared with that previously determined by X-ray crystallography.

Temperature dependence of dynamics and thermodynamics of the regulatory domain of human cardiac troponin C.

Binding of Ca(2+) to the regulatory domain of troponin C (TnC) in cardiac muscle initiates a series of protein conformational changes and modified protein-protein interactions that initiate contraction. Cardiac TnC contains two Ca(2+) binding sites, with one site being naturally defunct. Previously, binding of Ca(2+) to the functional site in the regulatory domain of TnC was shown to lead to a decrease in conformational entropy (TDeltaS) of 2 and 0.5 kcal mol(-1) for the functional and nonfunctional sites, respectively, using (15)N nuclear magnetic resonance (NMR) relaxation studies [Spyracopoulos, L., et al. (1998) Biochemistry 37, 18032-18044]. In this study, backbone dynamics of the Ca(2+)-free regulatory domain are investigated by backbone amide (15)N relaxation measurements at eight temperatures from 5 to 45 degrees C. Analysis of the relaxation measurements yields an order parameter (S(2)) indicating the degree of spatial restriction for a backbone amide H-N vector. The temperature dependence of S(2) allows estimation of the contribution to protein heat capacity from pico- to nanosecond time scale conformational fluctuations on a per residue basis. The average heat capacity contribution (C(p,j)) from backbone conformational fluctuations for regions of secondary structure for the regulatory domain of cardiac apo-TnC is 6 cal mol(-1) K(-1). The average heat capacity for Ca(2+) binding site 1 is larger than that for site 2 by 1.3 +/- 0.8 cal mol(-1) K(-1), and likely represents a mechanism where differences in affinity between Ca(2+) binding sites for EF hand proteins can be modulated.

Osmolytes Stabilize Ribonuclease S by Stabilizing Its Fragments S Protein and S Peptide to Compact Folding-competent States

Osmolytes stabilize proteins to thermal and chemical denaturation. We have studied the effects of the osmolytes sarcosine, betaine, trimethylamine-N-oxide, and taurine on the structure and stability of the protein.peptide complex RNase S using x-ray crystallography and titration calorimetry, respectively. The largest degree of stabilization is achieved with 6 m sarcosine, which increases the denaturation temperatures of RNase S and S pro by 24.6 and 17.4 degrees C, respectively, at pH 5 and protects both proteins against tryptic cleavage. Four crystal structures of RNase S in the presence of different osmolytes do not offer any evidence for osmolyte binding to the folded state of the protein or any perturbation in the water structure surrounding the protein. The degree of stabilization in 6 m sarcosine increases with temperature, ranging from -0.52 kcal mol(-1) at 20 degrees C to -5.4 kcal mol(-1) at 60 degrees C. The data support the thesis that osmolytes that stabilize proteins, do so by perturbing unfolded states, which change conformation to a compact, folding competent state in the presence of osmolyte. The increased stabilization thus results from a decrease in conformational entropy of the unfolded state.

Role of Amino Acid Residues at Turns in the Conformational Stability and Folding of Human Lysozyme,

To clarify the role of amino acid residues at turns in the conformational stability and folding of a globular protein, six mutant human lysozymes deleted or substituted at turn structures were investigated by calorimetry, GuHCl denaturation experiments, and X-ray crystal analysis. The thermodynamic properties of the mutant and wild-type human lysozymes were compared and discussed on the basis of their three-dimensional structures. For the deletion mutants, Delta47-48 and Delta101, the deleted residues are in turns on the surface and are absent in human alpha-lactalbumin, which is homologous to human lysozyme in amino acid sequence and tertiary structure. The stability of both mutants would be expected to increase due to a decrease in conformational entropy in the denatured state; however, both proteins were destabilized. The destabilizations were mainly caused by the disappearance of intramolecular hydrogen bonds. Each part deleted was recovered by the turn region like the alpha-lactalbumin structure, but there were differences in the main-chain conformation of the turn between each deletion mutant and alpha-lactalbumin even if the loop length was the same. For the point mutants, R50G, Q58G, H78G, and G37Q, the main-chain conformations of these substitution residues located in turns adopt a left-handed helical region in the wild-type structure. It is thought that the left-handed non-Gly residue has unfavorable conformational energy compared to the left-handed Gly residue. Q58G was stabilized, but the others had little effect on the stability. The structural analysis revealed that the turns could rearrange the main-chain conformation to accommodate the left-handed non-Gly residues. The present results indicate that turn structures are able to change their main-chain conformations, depending upon the side-chain features of amino acid residues on the turns. Furthermore, stopped-flow GuHCl denaturation experiments on the six mutants were performed. The effects of mutations on unfolding-refolding kinetics were significantly different among the mutant proteins. The deletion/substitutions in turns located in the alpha-domain of human lysozyme affected the refolding rate, indicating the contribution of turn structures to the folding of a globular protein.

Dynamics and thermodynamics of the regulatory domain of human cardiac troponin C in the apo- and calcium-saturated states.

The contraction of cardiac and skeletal muscles is triggered by the binding of Ca2+ to their respective troponin C (TnC) proteins. Recent structural data of both cardiac and skeletal TnC in both the apo and Ca2+ states have revealed that the response to Ca2+ is fundamentally different for these two proteins. For skeletal TnC, binding of two Ca2+ to sites 1 and 2 leads to large changes in the structure, resulting in the exposure of a hydrophobic surface. For cardiac TnC, Ca2+ binds site 2 only, as site 1 is inactive, and the structures show that the Ca2+-induced changes are much smaller and do not result in the exposure of a large hydrophobic surface. To understand the differences between regulation of skeletal and cardiac muscle, we have investigated the effect of Ca2+ binding on the dynamics and thermodynamics of the regulatory N-domain of cardiac TnC (cNTnC) using backbone 15N nuclear magnetic resonance relaxation measurements for comparison to the skeletal system. Analysis of the relaxation data allows for the estimation of the contribution of changes in picosecond to nanosecond time scale motions to the conformational entropy of the Ca2+-binding sites on a per residue basis, which can be related to the structural features of the sites. The results indicate that binding of Ca2+ to the functional site in cNTnC makes the site more rigid with respect to high-frequency motions; this corresponds to a decrease in the conformational entropy (TdeltaS) of the site by 2.2 kcal mol(-1). Although site 1 is defunct, binding to site 2 also decreases the conformational entropy in the nonfunctional site by 0.5 kcal mol(-1). The results indicate that the Ca2+-binding sites in the regulatory domain are structurally and energetically coupled despite the inability of site 1 to bind Ca2+. Comparison between the cardiac and skeletal isoforms in the apo state shows that there is a decrease in conformational entropy of 0.9 kcal mol(-1) for site 1 of cNTnC and little difference for site 2.

The magnitude of the backbone conformational entropy change in protein folding

The magnitude of the conformational entropy change experienced by the peptide backbone upon protein folding was investigated experimentally and by computational analysis. Experimentally, two different pairs of mutants of a 33 amino acid peptide corresponding to the leucine zipper region of GCN4 were used for high-sensitivity microcalorimetric analysis. Each pair of mutants differed only by having alanine or glycine at a specific solvent-exposed position under conditions in which the differences in stability could be attributed to differences in the conformational entropy of the unfolded state. The mutants studied were characterized by different stabilities but had identical heat capacity changes of unfolding (delta Cp), identical solvent-related entropies of unfolding (delta Ssolv), and identical enthalpies of unfolding (delta H) at equivalent temperatures. Accordingly, the differences in stability between the different mutants could be attributed to differences in conformational entropy. The computational studies were aimed at generating the energy profile of backbone conformations as a function of the main chain dihedral angles phi and phi. The energy profiles permit a direct calculation of the probability distribution of different conformers and therefore of the conformational entropy of the backbone. The experimental results presented in this paper indicate that the presence of the methyl group in alanine reduces the conformational entropy of the peptide backbone by 2.46 +/- 0.2 cal/K. mol with respect to that of glycine, consistent with a 3.4-fold reduction in the number of allowed conformations in the alanine-containing peptides. Similar results were obtained from the energy profiles. The computational analysis also indicates that the addition of further carbon atoms to the side chain had only a small effect as long as the side chains were unbranched at position beta. A further reduction with respect to Ala of only 0.61 and 0.81 cal/K. mol in the backbone entropy was obtained for leucine and lysine, respectively. beta-branching (Val) produces the largest decrease in conformational entropy (1.92 cal/K.mol less than Ala). Finally, the backbone entropy change associated with the unfolding of an alpha-helix is 6.51 cal/K.mol for glycine. These and previous results have allowed a complete estimation of the conformational entropy changes associated with protein folding.

Thermodynamics of dissipative materials with entropic elasticity

AbstractPolymer solutions and melts can both dissipate mechanical energy in flow, as well as accumulate elastic energy. If the assumption is made that elastic energy can be accumulated only through a decrease of conformational entropy, the general thermodynamic theory for non‐linear viscoelastic materials simplifies considerably. In particular, though no generality is lost as far as the constitutive equation for stress is concerned, the energy equation, which allows in principle a calculation of temperature distributions arising from frictional heating and heat removal, reduces to the usual form which is valid for viscous materials.