Role of water on unfolding kinetics of helical peptides studied by molecular dynamics simulations

Molecular dynamics simulations have been carried out with four polypeptides, Ala13, Val(13), Ser13, and Ala4Gly5Ala4, in vacuo and with explicit hydration. The unfolding of the polypeptides, which are initially fully alpha-helix in conformation, has been monitored during trajectories of 0.3 ns at 350 K. A rank of Ala < Val < Ser < Gly is found in the order of increasing rate of unwinding. The unfolding of Ala13 and Val(13) is completed in hundreds of picoseconds, while that of Ser13 is about one order of magnitude faster. The helix content of the peptide containing glycine residues falls to zero within a few picoseconds. Ramachandran plots indicate quite distinct equilibrium distributions and time evolution of dihedral angles in water and in vacuum for each residue type. The unfolding of polyalanine and polyvaline helices is accelerated due to solvation. In contrast, polyserine is more stable in water compared to vacuum, because its side chains can form intramolecular hydrogen bonds with the backbone more readily in vacuum, which disrupts the helix. Distribution functions of the spatial and angular position of water molecules in the proximity of the polypeptide backbone polar groups reveal the stabilization of the coiled structures by hydration. The transition from helix to coil is characterized by the appearance of a new peak in the probability distribution at a specific location characteristic of hydrogen bond formation between water and backbone polar groups. No significant insertion of water molecules is observed at the precise onset of unwinding, while (i, i+3) hydrogen bond formation is frequently detected at the initiation of alpha-helix unwinding.     

Effect of the N3 residue on the stability of the alpha-helix

N3 is the third position from the N terminus in the alpha-helix with helical backbone dihedral angles. All 20 amino acids have been placed in the N3 position of a synthetic helical peptide (CH(3)CO-[AAX AAAAKAAAAKAGY]-NH(2)) and the helix content measured by circular dichroism spectroscopy at 273 K. The dependence of peptide helicity on N3 residue identity has been used to determine a free energy scale by analysis with a modified Lifson-Roig helix coil theory that includes a parameter for the N3 energy (n3). The most stabilizing residues at N3 in rank order are Ala, Glu, Met/Ile, Leu, Lys, Ser, Gln, Thr, Tyr, Phe, Asp, His, and Trp. Free energies for the most destabilizing residues (Cys, Gly, Asn, Arg, and Pro) could not be fitted. The results correlate with N1, N2, and helix interior energies and not at all with N-cap preferences. This completes our work on studying the structural and energetic preferences of the amino acids for the N-terminal positions of the alpha-helix. These results can be used to rationally modify protein stability, help design helices, and improve prediction of helix location and stability.     

Change in entropy of the free polypeptide chain during formation of hydrogen bonds]

Formation probabilities of different hydrogen bonds between carbonyl oxygen and amide hydrogen were determined by Monte Carlo simulations using a computer model in the space of sterically allowable conformations of alanine and glycine oligopeptides, and the corresponding entropy losses for the peptide backbone, T delta S, were calculated. The model was studied at different criteria of steric interactions. Comparison with the data of other authors showed the values of T delta S to be mainly determined by overall extent and type of the state space and to be only slightly dependent on its energy profile. Both short-range and long-range steric interactions were shown to prevent hydrogen bonding, especially in alanine peptides. In the model studied, the initiation of alpha(R)-helices is associated with T delta S = 8-10 kT, and prior formation of a 3/10-turn or one three-center H-bond does not appreciably decrease this entropy barrier. Elongation of the alpha(R)-helix by one residue leads to T delta S = 3.0-3.7 kT, the helices begin to stabilize after at least three sequential H-bonds are formed. The difference in the probability of insertion of Ala and Gly into the helix is lower than it follows from comparison of their mobility. The results could be explained assuming that factors different from helical H-bonds take part in the stabilization of the helices. One may suppose upon modeling of folding that even three sequential H-bonds are unable to fix the structure of a flexible peptide loop, while the elongation of alpha(R)-helices in the supersecondary helix-loop-helix structure is favorable as long as the loop conformation remains nearly optimal.     

An on-pathway hidden intermediate and the early rate-limiting transition state of Rd-apocytochrome b562 characterized by protein engineering

The folding pathway of Rd-apocytochrome b562, a four-helix bundle protein, was characterized using Trp and Ala/Gly pair mutations. We found that the Trp mutants (F65W) of both the fully folded Rd-apocytochrome b562 and a partially unfolded intermediate with the N-terminal helix (helix I) unfolded, fold with identical folding rates, providing direct evidence for the conclusion that the rate-limiting transition state folds before the partially unfolded intermediate; and that this hidden intermediate is an on-pathway intermediate. We further characterized the helical structures formed in the rate-limiting transition state by measuring the folding/unfolding rates for Ala/Gly pair mutations at solvent-exposed positions. Little change in folding rates occurred for the Ala/Gly pair mutations at positions in helix I and the C-terminal regions of helix II and IV. In contrast, a significant difference in folding rates was observed for the Ala/Gly pair mutations in helix III and the N-terminal regions of helix II and IV, suggesting that helix III and the N-terminal regions of helix II and IV are formed in the rate-limiting transition state. These results complement those obtained from earlier studies and help to define the folding pathway of Rd-apocytochrome b562 in more detail.     

How do helix–helix interactions help determine the folds of membrane proteins? Perspectives from the study of homo‐oligomeric helical bundles

The final, structure-determining step in the folding of membrane proteins involves the coalescence of preformed transmembrane helices to form the native tertiary structure. Here, we review recent studies on small peptide and protein systems that are providing quantitative data on the interactions that drive this process. Gel electrophoresis, analytical ultracentrifugation, and fluorescence resonance energy transfer (FRET) are useful methods for examining the assembly of homo-oligomeric transmembrane helical proteins. These methods have been used to study the assembly of the M2 proton channel from influenza A virus, glycophorin, phospholamban, and several designed membrane proteins-all of which have a single transmembrane helix that is sufficient for association into a transmembrane helical bundle. These systems are being studied to determine the relative thermodynamic contributions of van der Waals interactions, conformational entropy, and polar interactions in the stabilization of membrane proteins. Although the database of thermodynamic information is not yet large, a few generalities are beginning to emerge concerning the energetic differences between membrane and water-soluble proteins: the packing of apolar side chains in the interior of helical membrane proteins plays a smaller, but nevertheless significant, role in stabilizing their structure. Polar, hydrogen-bonded interactions occur less frequently, but, nevertheless, they often provide a strong driving force for folding helix-helix pairs in membrane proteins. These studies are laying the groundwork for the design of sequence motifs that dictate the association of membrane helices.     

Multiple alanine replacements within alpha-helix 126-134 of T4 lysozyme have independent, additive effects on both structure and stability.

In a systematic attempt to identify residues important in the folding and stability of T4 lysozyme, five amino acids within alpha-helix 126-134 were substituted by alanine, either singly or in selected combinations. Together with three alanines already present in the wild-type structure this provided a set of mutant proteins with up to eight alanines in sequence. All the variants behaved normally, suggesting that the majority of residues in the alpha-helix are nonessential for the folding of T4 lysozyme. Of the five individual alanine substitutions it is inferred that four result in slightly increased protein stability and one, the replacement of a buried leucine with alanine, substantially decreased stability. The results support the idea that alanine is a residue of high helix propensity. The change in protein stability observed for each of the multiple mutants is approximately equal to the sum of the energies associated with each of the constituent substitutions. All of the variants could be crystallized isomorphously with wild-type lysozyme, and, with one trivial exception, their structures were determined at high resolution. Substitution of the largely solvent-exposed residues Asp 127, Glu 128, and Val 131 with alanine caused essentially no change in structure except at the immediate site of replacement. Substitutions of the partially buried Asn 132 and the buried Leu 133 with alanine were associated with modest (< or = 0.4 A) structural adjustments. The structural changes seen in the multiple mutants were essentially a combination of those seen in the constituent single replacements. The different replacements therefore act essentially independently not only so far as changes in energy are concerned but also in their effect on structure. The destabilizing replacement Leu 133-->Ala made alpha-helix 126-134 somewhat less regular. Incorporation of additional alanine replacements tended to make the helix more uniform. For the penta-alanine variant a distinct change occurred in a crystal-packing contact, and the "hinge-bending angle" between the amino- and carboxy-terminal domains changed by 3.6 degrees. This tends to confirm that such hinge-bending in T4 lysozyme is a low-energy conformational change.     

Helix propensities of the amino acids measured in alanine-based peptides without helix-stabilizing side-chain interactions.

Helix propensities of the amino acids have been measured in alanine-based peptides in the absence of helix-stabilizing side-chain interactions. Fifty-eight peptides have been studied. A modified form of the Lifson-Roig theory for the helix-coil transition, which includes helix capping (Doig AJ, Chakrabartty A, Klingler TM, Baldwin RL, 1994, Biochemistry 33:3396-3403), was used to analyze the results. Substitutions were made at various positions of homologous helical peptides. Helix-capping interactions were found to contribute to helix stability, even when the substitution site was not at the end of the peptide. Analysis of our data with the original Lifson-Roig theory, which neglects capping effects, does not produce as good a fit to the experimental data as does analysis with the modified Lifson-Roig theory. At 0 degrees C, Ala is a strong helix former, Leu and Arg are helix-indifferent, and all other amino acids are helix breakers of varying severity. Because Ala has a small side chain that cannot interact significantly with other side chains, helix formation by Ala is stabilized predominantly by the backbone ("peptide H-bonds"). The implication for protein folding is that formation of peptide H-bonds can largely offset the unfavorable entropy change caused by fixing the peptide backbone. The helix propensities of most amino acids oppose folding; consequently, the majority of isolated helices derived from proteins are unstable, unless specific side-chain interactions stabilize them.     

Alpha-helix stability in proteins. I. Empirical correlations concerning substitution of side-chains at the N and C-caps and the replacement of alanine by glycine or serine at solvent-exposed surfaces.

The importance of amino acid side-chains in helix stability has been investigated by making a series of mutations at the N-caps, C-caps and internal positions of the solvent-exposed faces of the two alpha-helices of barnase. There is a strong positional and context dependence of the effect of a particular amino acid on stability. Correlations have been found that provide insight into the physical basis of helix stabilization. The relative effects of Ala and Gly (or Ser) may be rationalized on the basis of solvent-accessible surface areas: burial of hydrophobic surface stabilizes the protein as does exposure to solvent of unpaired hydrogen bond donors or acceptors in the protein. There is a good correlation between the relative stabilizing effects of Ala and Gly at internal positions with the total change in solvent-accessible hydrophobic surface area of the folded protein on mutation of Ala----Gly. The relationship may be extended to the N and C-caps by including an extra term in hydrophilic surface area for the solvent exposure of the non-intramolecularly hydrogen-bonded main-chain CO, NH or protein side-chain hydrogen bonding groups. The requirement for solvent exposure of the C-cap main-chain CO groups may account for the strong preference for residues having positive phi and psi angles at this position, since this alpha L-conformation results in the largest solvent exposure of the C-terminal CO groups. Glycine in an alpha L-conformation results in the greatest exposure of these CO groups. Further, the side-chains of His, Asn, Arg and Lys may, with positive phi and psi-angles, form a hydrogen bond with the backbone CO of residue in position C -3 (residues are numbered relative to the C-cap). The preferences at the C-cap are Gly much greater than His greater than Asn greater than Arg greater than Lys greater than Ala approximately Ser approximately greater than Asp. The preferences at the N-cap are determined by hydrogen bonding of side-chains or solvent to the exposed backbone NH groups and are: Thr approximately Asp approximately Ser greater than Gly approximately Asn greater than Gln approximately Glu approximately His greater than Ala greater than Val much greater than Pro. These general trends may be obscured when mutation allows another side-chain to become a surrogate cap.(ABSTRACT TRUNCATED AT 400 WORDS)     

Proline residues in transmembrane alpha helices affect the folding of bacteriorhodopsin

Proline residues occur frequently in transmembrane alpha helices, which contrasts with their behaviour as helix-breakers in water-soluble proteins. The three membrane-embedded proline residues of bacteriorhodopsin have been replaced individually by alanine and glycine to give P50A, or P50G on helix B, P91A, or P91G on helix C, and P186A or P186G on helix F, and the effect on the protein folding kinetics has been investigated. The rate-limiting apoprotein folding step, which results in formation of a seven transmembrane, alpha helical state, was slower than wild-type protein for the Pro50 and Pro91 mutants, regardless of whether they were mutated to Ala or Gly. These proline residues give rise to several inter-helix contacts, which are therefore important in folding to the seven transmembrane helix state. No evidence for cis-trans isomerisations of the peptidyl prolyl bonds was found during this rate-limiting apoprotein folding step. Mutations of all three membrane-embedded proline residues affected the subsequent retinal binding and final folding to bacteriorhodopsin, suggesting that these proline residues contribute to formation of the retinal binding pocket within the helix bundle, again via helix/helix interactions. These results point to proline residues in transmembrane alpha helices being important in the folding of integral membrane proteins. The helix/helix interactions and hydrogen bonds that arise from the presence of proline residues in transmembrane alpha helices can affect the formation of transmembrane alpha helix bundles as well as cofactor binding pockets.     

Side-chain contributions to membrane protein structure and stability

The molecular forces that stabilize membrane protein structure are poorly understood. To investigate these forces we introduced alanine substitutions at 24 positions in the B helix of bacteriorhodopsin and examined their effects on structure and stability. Although most of the results can be rationalized in terms of the folded structure, there are a number of surprises. (1) We find a remarkably high frequency of stabilizing mutations (17%), indicating that membrane proteins are not highly optimized for stability. (2) Helix B is kinked, with the kink centered around Pro50. The P50A mutation has no effect on stability, however, and a crystal structure reveals that the helix remains bent, indicating that tertiary contacts dominate in the distortion of this helix. (3) We find that the protein is stabilized by about 1kcal/mol for every 38A(2) of surface area buried, which is quite similar to soluble proteins in spite of their dramatically different environments. (4) We find little energetic difference, on average, in the burial of apolar surface or polar surface area, implying that van der Waals packing is the dominant force that drives membrane protein folding.     

Conformational characteristics of peptides and unanticipated results from crystal structure analyses

Preferred conformation and types of molecular folding are some of the topics that can be addressed by structure analysis using x-ray diffraction of single crystals. The conformations of small linear peptide molecules with 2-6 residues are affected by polarity of solvent, presence of water molecules, hydrogen bonding with neighboring molecules, and other packing forces. Larger peptides, both cyclic and linear, have many intramolecular hydrogen bonds, the effect of which outweighs any intermolecular attractions. Numerous polymorphs of decapeptides grown from a variety of solvents, with different cocrystallized solvents, show a constant conformation for each peptide. Large conformational changes occur, however, upon complexation with metal ions. A new form of free valinomycin grown from DMSO exhibits near three-fold symmetry with only three intramolecular hydrogen bonds. The peptide is in the form of a shallow bowl with a hydrophobic exterior. Near the bottom of the interior of the bowl are three carbonyl oxygens, spaced and directed so that they are in position to form three ligands to a K+, e.g., complexation can be completed by the three lobes containing the beta-bends closing over and encapsulating the K+ ion. In another example, free antamanide and the biologically inactive perhydro analogue, in which four phenyl groups become cyclic hexyl groups, have essentially the same folding of backbone and side chains. The conformation changes drastically upon complexation with Li+ or Na+. However, the metal ion complex of natural antamanide has a hydrophobic globlar form whereas the metal ion complex of the inactive perhydro analogue has a polar band around the middle. The structure results indicate that the antamanide molecule is in a complexed form during its biological activity. Single crystal x-ray diffraction structure analyses have identified the manner in which water molecules are essential to creating minipolar areas on apolar helices. Completely apolar peptides, such as membrane-active peptides, can acquire amphiphilic character by insertion of a water molecule into the helical backbone of Boc-Aib-Ala-Leu-Aib-Ala-Leu-Aib-Ala-Leu-Aib-OMe, for example. The C-terminal half assumes an alpha-helix conformation, whereas the N-terminal half is distorted by an insertion of a water molecule W(1) between N(Ala5) and O(Ala2), forming hydrogen bonds N(5)H...W(1) and W(1)...O(2). The distortion of the helix exposes C = O(Aib1) and C = O(Aib4) to the outside environment with the consequence of attracting additional water molecules. The leucyl side chains are on the other side of the molecule. Thus a helix with an apolar sequence can mimic an amphiphilic helix.     

Glycine to alanine substitutions in helices of glyceraldehyde-3-phosphate dehydrogenase: effects on stability

Glyceraldehyde-3-phosphate dehydrogenase (GAPDH) from chicken was expressed in and purified from Escherichia coli. To investigate the physical basis of possible protein stabilization strategies, the effect of substitutions of glycine residues by alanine in helical regions was determined. One Gly to Ala substitution (G316A) located in the central core of the subunit was found to strongly stabilize the protein, while the other mutations are neutral or destabilize the protein. The effect seen for the stabilizing mutant in irreversible heat denaturation correlates with the first transition in folding equilibrium experiments that is observable by fluorescence, but not with the one detected by circular dichroism measurements or in dilution-induced dissociation experiments. The stabilizing effect of a Gly to Ala substitution therefore does not seem to be caused by an entropic effect on the unfolded state. Rather, an internal cavity is filled by the substitution G316A, probably stabilizing the native state. In large oligomeric proteins, imperfect packing may be a frequent cause of limited stability.     

Comparison of helix interactions in membrane and soluble alpha-bundle proteins

Helix-helix interactions are important for the folding, stability, and function of membrane proteins. Here, two independent and complementary methods are used to investigate the nature and distribution of amino acids that mediate helix-helix interactions in membrane and soluble alpha-bundle proteins. The first method characterizes the packing density of individual amino acids in helical proteins based on the van der Waals surface area occluded by surrounding atoms. We have recently used this method to show that transmembrane helices pack more tightly, on average, than helices in soluble proteins. These studies are extended here to characterize the packing of interfacial and noninterfacial amino acids and the packing of amino acids in the interfaces of helices that have either right- or left-handed crossing angles, and either parallel or antiparallel orientations. We show that the most abundant tightly packed interfacial residues in membrane proteins are Gly, Ala, and Ser, and that helices with left-handed crossing angles are more tightly packed on average than helices with right-handed crossing angles. The second method used to characterize helix-helix interactions involves the use of helix contact plots. We find that helices in membrane proteins exhibit a broader distribution of interhelical contacts than helices in soluble proteins. Both helical membrane and soluble proteins make use of a general motif for helix interactions that relies mainly on four residues (Leu, Ala, Ile, Val) to mediate helix interactions in a fashion characteristic of left-handed helical coiled coils. However, a second motif for mediating helix interactions is revealed by the high occurrence and high average packing values of small and polar residues (Ala, Gly, Ser, Thr) in the helix interfaces of membrane proteins. Finally, we show that there is a strong linear correlation between the occurrence of residues in helix-helix interfaces and their packing values, and discuss these results with respect to membrane protein structure prediction and membrane protein stability.     

Transformation of an alpha-helix peptide into a beta-hairpin induced by addition of a fragment results in creation of a coexisting state

Intrinsic rules of determining the tertiary structure of a protein have been unknown partly because physicochemical factors that contribute to stabilization of a protein structure cannot be represented as a linear combination of local interactions. To clarify the rules on the nonlinear term caused by nonlocal interaction in a protein, we tried to transform a peptide that has a fully helical structure (Target Peptide or TP) into a peptide that has a beta-hairpin structure (Designed Peptide or DP) by adding seven residues to the C terminus of TP. According to analyses of nuclear magnetic resonance measurements, while the beta-hairpin structure is stabilized in some DPs, it is evident that the helical structure observed in TP is also persistent and even extended throughout the length of the molecule. As a result, we have produced a peptide molecule that contains both the alpha-helix and beta-hairpin conformation at an almost equally populated level. The helical structures contained in these DPs were more stable than the helix in TP, suggesting that stabilizing one conformation does not result in destabilizing the other conformation. These DPs can thus be regarded as an isolated peptide version of the chameleon sequence, which has the capability of changing the secondary structure depending on the context of the surrounding environment in a protein structure. The fact that the transformation of one secondary structure caused stabilization of both the original and the induced structure would shed light on the mechanism of protein folding.     

Structure of the anchor-domain of myristoylated and non-myristoylated HIV-1 Nef protein.

Negative factor (Nef) is a regulatory myristoylated protein of human immunodeficiency virus (HIV) that has a two-domain structure consisting of an anchor domain and a core domain separated by a specific cleavage site of the HIV proteases. For structural analysis, the HIV-1 Nef anchor domain (residues 2-57) was synthesized with a myristoylated and non-myristoylated N terminus. The structures of the two peptides were studied by1H NMR spectroscopy and a structural model was obtained by restrained molecular dynamic simulations. The non-myristoylated peptide does not have a unique, compactly folded structure but occurs in a relatively extended conformation. The only rather well-defined canonical secondary structure element is a short two-turn alpha-helix (H2) between Arg35 and Gly41. A tendency for another helical secondary structure element (H1) can be observed for the arginine-rich region (Arg17 to Arg22). Myristoylation of the N-terminal glycine residue leads to stabilization of both helices, H1 and H2. The first helix in the arginine-rich region is stabilized by the myristoylation and now contains residues Pro14 to Arg22. The second helix appears to be better defined and to contain more residues (Ala33 to Gly41) than in the absence of myristoylation. In addition, the hydrophobic N-terminal myristic acid residue interacts closely with the side-chain of Trp5 and thereby forms a loop with Gly2, Gly3 and Lys4 in the kink region. This interaction could possibly be disturbed by phosphorylation of a nearby serine residue, and modifiy the characteristic membrane interactions of the HIV-1 Nef anchor domain.     

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 (ΔC_p), identical solvent-related entropies of unfolding (ΔS_solv), and identical enthalpies of unfolding (ΔH) 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 ϕ and ϱ. 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 β. 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. β-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 α-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. © 1996 Wiley-Liss, Inc.     

Structural differences between thermophilic and mesophilic membrane proteins

The evolutionary adaptations of thermophilic water‐soluble proteins required for maintaining stability at high temperature have been extensively investigated. Little is known about the adaptations in membrane proteins, however. Here, we compare many properties of mesophilic and thermophilic membrane protein structures, including side‐chain burial, packing, hydrogen bonding, transmembrane kinks, loop lengths, hydrophobicity, and other sequence features. Most of these properties are quite similar between mesophiles and thermophiles although we observe a slight increase in side‐chain burial and possibly a slight decrease in the frequency of transmembrane kinks in thermophilic membrane protein structures. The most striking difference is the increased hydrophobicity of thermophilic transmembrane helices, possibly reflecting more stringent hydrophobicity requirements for membrane partitioning at high temperature. In agreement with prior work examining transmembrane sequences, we find that thermophiles have an increase in small residues (Gly, Ala, Ser, and Val) and a strong suppression of Cys. We also find a relative dearth of most strongly polar residues (Asp, Asn, Glu, Gln, and Arg). These results suggest that in thermophiles, there is significant evolutionary pressure to offload destabilizing polar amino acids, to decrease the entropy cost of side chain burial, and to eliminate thermally sensitive amino acids.     

Determination of alpha-helix N1 energies after addition of N1, N2, and N3 preferences to helix/coil theory

Surveys of protein crystal structures have revealed that amino acids show unique structural preferences for the N1, N2, and N3 positions in the first turn of the alpha-helix. We have therefore extended helix-coil theory to include statistical weights for these locations. The helix content of a peptide in this model is a function of N-cap, C-cap, N1, N2, N3, C1, and helix interior (N4 to C2) preferences. The partition function for the system is calculated using a matrix incorporating the weights of the fourth residue in a hexamer of amino acids and is implemented using a FORTRAN program. We have applied the model to calculate the N1 preferences of Gln, Val, Ile, Ala, Met, Pro, Leu, Thr, Gly, Ser, and Asn, using our previous data on helix contents of peptides Ac-XAKAAAAKAAGY-CONH2. We find that Ala has the highest preference for the N1 position. Asn is the most unfavorable, destabilizing a helix at N1 by at least 1.4 kcal mol(-1) compared to Ala. The remaining amino acids all have similar preferences, 0.5 kcal mol(-1) less than Ala. Gln, Asn, and Ser, therefore, do not stabilize the helix when at N1.     

A helix propensity scale based on experimental studies of peptides and proteins.

The average globular protein contains 30% alpha-helix, the most common type of secondary structure. Some amino acids occur more frequently in alpha-helices than others; this tendency is known as helix propensity. Here we derive a helix propensity scale for solvent-exposed residues in the middle positions of alpha-helices. The scale is based on measurements of helix propensity in 11 systems, including both proteins and peptides. Alanine has the highest helix propensity, and, excluding proline, glycine has the lowest, approximately 1 kcal/mol less favorable than alanine. Based on our analysis, the helix propensities of the amino acids are as follows (kcal/mol): Ala = 0, Leu = 0.21, Arg = 0.21, Met = 0.24, Lys = 0.26, Gln = 0.39, Glu = 0.40, Ile = 0.41, Trp = 0.49, Ser = 0.50, Tyr = 0. 53, Phe = 0.54, Val = 0.61, His = 0.61, Asn = 0.65, Thr = 0.66, Cys = 0.68, Asp = 0.69, and Gly = 1.     

The thermodynamics of protein-ligand interaction and solvation: insights for ligand design

Isothermal titration calorimetry is able to provide accurate information on the thermodynamic contributions of enthalpy and entropy changes to free energies of binding. The Structure/Calorimetry of Reported Protein Interactions Online database of published isothermal titration calorimetry studies and structural information on the interactions between proteins and small-molecule ligands is used here to reveal general thermodynamic properties of protein-ligand interactions and to investigate correlations with changes in solvation. The overwhelming majority of interactions are found to be enthalpically favoured. Synthetic inhibitors and biological ligands form two distinct subpopulations in the data, with the former having greater average affinity due to more favourable entropy changes on binding. The greatest correlation is found between the binding free energy and apolar surface burial upon complex formation. However, the free-energy contribution per unit area buried is only 30-50% of that expected from earlier studies of transfer free energies of small molecules. A simple probability-based estimator for the maximal affinity of a binding site in terms of its apolar surface area is proposed. Polar surface area burial also contributes substantially to affinity but is difficult to express in terms of unit area due to the small variation in the amount of polar surface buried and a tendency for cancellation of its enthalpic and entropic contributions. Conventionally, the contribution of apolar desolvation to affinity is attributed to gain of entropy due to solvent release. Although data presented here are supportive of this notion, because the correlation of entropy change with apolar surface burial is relatively weak, it cannot, on present evidence, be confidently considered to be correct. Further, thermodynamic changes arising from small differences between ligands binding to individual proteins are relatively large and, in general, uncorrelated with changes in solvation, suggesting that trends identified across widely differing proteins are of limited use in explaining or predicting the effects of ligand modifications.