Thermodynamic parameters of helix-coil transition in polypeptide chains. I. Poly-(L-glutamic acid)

Molecular dynamics of α-helical structure: poly-l-glutamic acid

Communicated by Ramaswamy H. Sarma.

Folding of poly-amino acids and intrinsically disordered proteins in overcrowded milieu induced by pH change

pH-induced structural changes of the synthetic homopolypeptides poly-E, poly-K, poly-R, and intrinsically disordered proteins (IDPs) prothymosin α (ProTα) and linker histone H1, in concentrated PEG solutions simulating macromolecular crowding conditions within the membrane-less organelles, were characterized. The conformational transitions of the studied poly-amino acids in the concentrated PEG solutions depend on the polymerization degree of these homopolypeptides, the size of their side chains, the charge distribution of the side chains, and the crowding agent concentration. The results obtained for poly-amino acids are valid for IDPs having a significant total charge. The overcrowded conditions promote a significant increase in the cooperativity of the pH-induced coil-α-helix transition of ProTα and provoke histone H1 aggregation. The most favorable conditions for the pH-induced structural transitions in concentrated PEG solutions are realized when the charged residues are grouped in blocks, and when the distance between the end of the side group carrying charge and the backbone is small. Therefore, the block-wise distribution of charged residues within the IDPs not only plays an important role in the liquid-liquid phase transitions, but may also define the expressivity of structural transitions of these proteins in the overcrowded conditions of the membrane-less organelles.

Kinetics of helix-coil transition of polypeptides in solution by the relaxation methods

Relaxation phenomena were studied in aqueous solutions of poly (alpha-L-glutamic acid) (Glu)n and poly (alpha-L-lysine) (Lys)n under various conditions using the electric field pulse method with detection by conductivity change. The relaxation time for the (Glu)n has a maximum value at the midpoint of the helix-coil transition. Some possible mechanisms are discussed and the observed relaxation phenomenon is attributed to the helix-coil transition. In the case of (Lys)n, the relaxation time as a function of pH exhibits two maxima. One is assigned to a proton transfer reaction and the other to the helix-coil transition. Using the Schwarz's theory the rate constants of the helix growth step for both (Glu)n and (Lys)n are estimated. The difference in the activation parameters for (Glu)n and (Lys)n is discussed.

Kinetic studies on the helix-coil transition of fluorescent labeled poly(-L-lysine) by the temperature-jump technique

Fluorescent dansyl labels were covalently attached to poly (L-lysine) (poly(Lys)) with a degree of polymerization of 300 to 600. The degree of labeling was 0.01 to 0.085 (mol label to mol amino acid residues). From the decay of the anisotropy of fluorescence it was concluded that the labels were highly mobile both in the coiled and helical state. A decrease of fluorescence intensity accompanied the helix-coil transition. Identical pH induced transition curves were measured by circular dichroism and fluorescence. The midpoint of the transition was at pH 10.2. The kinetics of the transition were studied by temperature-jump relaxation using fluorescence detection. A single relaxation phase was observed. The relaxation time tau exhibited a distorted bell shaped dependence on the degree of helicity f with a maximum value tau(max) = 15 micros at f = 0.3 and 20 degrees C. It was independent of polymer concentration and of the degree of labeling. A rate constant of helix propagation kF = 10(7) s(-1) was calculated from tau(max) and published values of the nucleation parameter sigma. The activation energy was 16 kJ mol . The observed rate constant is comparable to that of poly(L-glutamic acid) but two orders of magnitude smaller than that found for polyamino acids with nonionizable side chains.

Effect of the conformation of a peptide from gp41 on binding and domain formation in model membranes

Binding of the peptide fragment 828-848 (P828), amino acid sequence RVIEVVQGACRAIRHIPRRIR, from the carboxy-terminal region of the envelope glycoprotein gp41 of human immunodeficiency virus type 1 (HIV-1) to membranes composed of a mixture of neutral and negatively charged phospholipids results in domain or cluster formation of the charged lipid. The conformation and dynamics of the peptide are investigated in solution and in the presence of sodium dodecyl sulphate (SDS) micelles using high resolution nuclear magnetic resonance (NMR) spectroscopy and circular dichroism (CD) spectropolarimetry. The CD results demonstrate that addition of either SDS, negatively charged phospholipid liposomes, or trifluoroethanol (TFE) induces a conformational transition of the peptide from a random coil or an extended chain in water to a more ordered structure with an estimated helical content of up to 60%. The structure of the peptide in a membrane mimetic SDS solution was investigated in detail using two-dimensional NMR. The measurements demonstrate the existence of a helical component in the peptide conformation in the SDS-bound state. The peptide most likely exists as an ensemble of conformations with exchange times between them which are fast on the chemical shift NMR time scale (10(-3) s). Simple neutralization of the six arginine sidechain charges does not cause the peptide to adopt an ordered structure. Thus, there is an additional requirement for the structural transition such as that resulting from constraint of the peptide on a surface, or localization of the peptide at the lipid-water interface where the polarity is lower.(ABSTRACT TRUNCATED AT 250 WORDS)

The helix-coil transition in polypeptides: a microscopic approach. II

In the framework of an earlier constructed model [N.S. Ananikyan et al. (1990) Biopolymers, Vol. 30, pp. 357-367], some analytical estimates for the correlation length and degree of helicity near the transition point were obtained in the case of an arbitrary topology of hydrogen bond closing (delta). It was shown that the Zimm-Bragg cooperativity parameter sigma is determined by the set of (delta-1) amino acid residues and so is nonlocal. An analytic expression for cooperativity parameters in a heteropolypeptide chain was obtained and numerical calculations showed that in case of heteropolypeptide with random primary structure the nonlocality of cooperativity parameter influenced the temperature dependence of helicity degree.

Capping interactions in isolated alpha helices: position-dependent substitution effects and structure of a serine-capped peptide helix

The influence of an amino acid on the stability of alpha-helical structure depends on the position of the residue in the helix with respect to the ends. Short alpha helices in proteins are stabilized both by H-bonding of the main-chain NH and CO groups and by capping interactions between side chains and unfulfilled peptide groups at the N and C termini. Peptide models based on consensus position-dependent helix sequences allow one to model capping effects in isolated helices and to establish a base line for these interactions in proteins. We report here an extended series of substitutions in the cap positions of our peptide models and the solution structure of peptide S3, with serine at the N-cap position defined as the N-terminal residue with partly helix and partly coil conformation. The resulting model, determined by 2D 1H NMR, is consistent with a structure at the N-cap involving H-bonding between the serine gamma oxygen and the peptide NH of the glutamic acid residue three amino acids toward the C terminus. A bifurcated H-bond of Ser O gamma with the NH of Asp5 is possible also, since this group is within interacting distance. This provides direct evidence that specific side-chain interactions with the main chain stabilize isolated alpha-helical structure.

A molecular thermodynamic approach to predict the secondary structure of homopolypeptides in aqueous systems

Under physiological conditions, many polypeptide chains spontaneously fold into discrete and tightly packed three-dimensional structures. The folded polypeptide chain conformation is believed to represent a minimum Gibbs energy of the system, governed by the weak interactions that operate between the amino acid residues and between the residues and the solvent. A semiempirical molecular thermodynamic model is proposed to represent the Gibbs energy of folding of aqueous homopolypeptide systems. The model takes into consideration both the entropy contribution and the enthalpy contribution of folding homopolypeptide chains in aqueous solutions. The entropy contribution is derived from the Flory-Huggins expression for the entropy of mixing. It accounts for the entropy loss in folding a random-coiled polypeptide chain into a specific polypeptide conformation. The enthalpy contribution is derived from a molecular segment-based Non-Random Two Liquid (NRTL) local composition model [H. Renon and J. M. Prausnitz (1968) AIChE J., Vol. 14, pp. 135-142; C.-C. Chen and L. B. Evans (1986) AIChE J., Vol. 32, pp. 444-454], which takes into consideration of the residue-residue, residue-solvent, and solvent-solvent binary physical interactions along with the local compositions of amino acid residues in aqueous homopolypeptides. The UNIFAC group contribution method [A. Fredenslund, R. L. Jones, and J. M. Prausnitz (1975) AIChE J., 21, 1086-1099; A. Fredenslund, J. Gmehling, and P. Rasmussen (1977) Vapor-Liquid Equilibrium Using UNIFAC, Elsevier Scientific Publishing Company, Amsterdam], developed originally to estimate the excess Gibbs energy of solutions of small molecules, was used to estimate the NRTL binary interaction parameters. The model yields a hydrophobicity scale for the 20 amino acid side chains, which compares favorably with established scales [Y. Nozaki and C. Tanford (1971) Journal of Biological Chemistry, Vol. 46, pp. 2211-2217; E. B. Leodidis and T. A. Hatton (1990) Journal of Physical Chemistry, Vol. 94, pp. 6411-6420]. In addition, the model generates qualitatively correct thermodynamic constants and it accurately predicts thermodynamically favorable folding of a number of aqueous homopolypeptides from random-coiled states into alpha-helices. The model further facilitates estimation of the Zimm-Bragg helix growth parameter s and the nucleation parameter sigma for amino acid residues [B. H. Zimm and J. K. Bragg (1959) Journal of Chemical Physics, Vol. 31, pp. 526-535]. The calculated values of the two parameters fall into the ranges suggested by Zimm and Bragg.

Energetic contribution of solvent-exposed ion pairs to alpha-helix structure

Understanding the role of amino acid side-chain interactions in forming secondary structure in proteins is useful for deciphering how proteins fold and for predicting folded structures of proteins from their sequence. Analysis of the secondary structure as a function of pH in two designed synthetic peptides with identical composition but different sequences, affords a quantitative estimate of the free energy contribution of a single ion pair to the stability of an isolated alpha-helix. One peptide contains repeated blocks of Glu4Lys4. The second has repeated blocks of Glu2Lys2. The former contains significant helical structure at neutral pH while the latter has none, based on ultraviolet light circular dichroism measurements and 1H nuclear magnetic resonance spectroscopy. The difference is attributed to formation of helix-stabilizing salt-bridges between Glu- and Lys+ spaced at i, i + 4 intervals in the former peptide. The free energy of formation of a single Glu(-)-Lys+ salt-bridge can be evaluated by using a statistical model of the helix-coil transition that explicitly includes salt-bridges: the result is -0.50(+/- 0.05) kcal/mol at 4 degrees C and neutral pH in 10 mM salt, in agreement with a value derived for a single salt-bridge in a helix on the surface of a globular protein.

The helix-coil transition in heterogeneous peptides with specific side-chain interactions: theory and comparison with CD spectral data

Natural and synthetic peptides that contain detectable intramolecular alpha-helical structure in aqueous solution have been used to evaluate the helical propensities for the common amino acids. Experimental spectroscopic data must be fit to a model of the helix-coil transition in order to determine quantitative stability constants for each amino acid. We present here a statistical mechanical description of helix formation in peptides or protein fragments that takes into account multiple internal conformations, heterogeneity in the stabilizing effects of different side chains, and specific side-chain-side-chain interactions. The model enables one to calculate values of [theta]222 for a given peptide using the length dependence of the helix signal computed by a quantum mechanical treatment of the n pi * transition that dominates the 222-nm band. In addition, the helical probability at any residue in the chain is readily computed, and should prove useful as nmr spectral data become available. The free energy of specific side-chain interactions, including ion pair formation, can be evaluated. Application of the analysis to experimental data on a pair of isomeric peptides, only one of which contains ion pairs, indicates that forming a single glutamate-lysine ion pair stabilizes the alpha-helix by 0.50 kcal/mole in 10 mM sodium ion and pH 7. A survey of the CD data measured for a variety of model peptides is presented, indicating that a single set of s values and sigma constant can account for some but not all of the available results.

Parameters of helix-coil transition theory for alanine-based peptides of varying chain lengths in water

Thermal unfolding curves have been measured for a series of short alanine-based peptides that contain repeating sequences and varying chain lengths. Standard helix-coil theory successfully fits the observed transition curves, even for these short peptides. The results provide values for sigma, the helix nucleation constant, delta H0, the enthalpy change on helix formation, and for s (0 degree C), the average helix propagation parameter at 0 degree C. The enthalpy change agrees with the value determined calorimetrically. The success of helix-coil theory in describing the unfolding transitions of short peptides in water indicates that helical propensities, or s values, can be determined from substitution experiments in short alanine-based peptides.

Physical reasons for secondary structure stability: alpha-helices in short peptides

It was recently found that some short peptides (including C- and S-peptide fragments of RNase A) can have considerable helicity in solution, which was considered to be surprising. Does the observed helicity require a new explanation, or is it consistent with previous understanding? In this work we show that this helicity is consistent with the physical theory of secondary structure based on an extension of the conventional Zimm-Bragg model. Without any special modifications, this theory explains reasonably well almost all the experimentally observed dependencies of helicity on pH, temperature, and amino acid replacements. We conclude that the observed "general level" of helicity of C- and S-peptides (5-30% at room temperature and 10-50% near 0 degrees C) is "normal" for short peptides consisting mainly of helix-forming and helix-indifferent residues. The helicity is modified by a multitude of weak specific side chain interactions, many of which are taken into account by the present theory; some discrepancies between the theory and experiment can be explained by weak side-chain-side chain interactions that were neglected. A reasonable coincidence of the theory with experiment suggests that it had been used to investigate the role of local interactions in the formation of alpha-helical "embryos" in unfolded protein chains.

Polymer concentration dependence of the helix to random coil transition of a charged polypeptide in aqueous salt solution

The helix to coil transition of poly(L-glutamic acid) was investigated in 0.05 and 0.005 M aqueous potassium chloride solutions by use of potentiometric titration and circular dichroism measurement. Polymer concentration dependence of the transition was observed in the range from 0.006 to 0.04 monomol/e in 0.005 M KG1 solution. The polymer concentration dependence can be interpreted by current theories of the transition of charged polypeptides and of titration curves of linear weak polyelectrolytes taking the effect of polymer concentration into consideration.