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T P Creamer

Publications and source records attributed to T P Creamer.

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Side-chain conformational entropy in protein unfolded states.

The largest force disfavoring the folding of a protein is the loss of conformational entropy. A large contribution to this entropy loss is due to the side-chains, which are restricted, although not immobilized, in the folded protein. In order to accurately estimate the loss of side-chain conformational entropy that occurs upon folding it is necessary to have accurate estimates of the amount of entropy possessed by side-chains in the ensemble of unfolded states. A new scale of side-chain conformational entropies is presented here. This scale was derived from Monte Carlo computer simulations of small peptide models. It is demonstrated that the entropies are independent of host peptide length. This new scale has the advantage over previous scales of being more precise with low standard errors. Better estimates are obtained for long (e.g., Arg and Lys) and rare (e.g., Trp and Met) side-chains. Excellent agreement with previous side-chain entropy scales is achieved, indicating that further advancements in accuracy are likely to be small at best. Strikingly, longer side-chains are found to possess a smaller fraction of the theoretical maximum entropy available than short side-chains. This indicates that rotations about torsions after chi(2) are significantly affected by side-chain interactions with the polypeptide backbone. This finding invalidates previous assumptions about side-chain-backbone interactions. Proteins 2000;40:443-450.

Amino Acids↗

A survey of left-handed polyproline II helices.

Left-handed polyproline II helices (PPII) are contiguous elements of protein secondary structure in which the phi and psi angles of constituent residues are restricted to around -75 degrees and 145 degrees, respectively. They are important in structural proteins, in unfolded states and as ligands for signaling proteins. Here, we present a survey of 274 nonhomologous polypeptide chains from proteins of known structure for regions that form these structures. Such regions are rare, but the majority of proteins contain at least one PPII helix. Most PPII helices are shorter than five residues, although the longest found contained 12 amino acids. Proline predominates in PPII, but Gln and positively charged residues are also favored. The basis of Gln's prevalence is its ability to form an i, i + 1 side-chain to main-chain hydrogen bond with the backbone carbonyl oxygen of the proceeding residue; this helps to fix the psi angle of the Gln and the phi and psi of the proceeding residue in PPII conformations and explains why Gln is favored at the first position in a PPII helix. PPII helices are highly solvent exposed, which explains why apolar amino acids are disfavored despite preferring this region of phi/psi space when in isolation. PPII helices have perfect threefold rotational symmetry and within these structures we find significant correlation between the hydrophobicity of residues at i and i + 3; thus, PPII helices in globular proteins can be considered to be amphipathic.

Hydrogen Bonding↗

Left-handed polyproline II helix formation is (very) locally driven.

The left-handed polyproline II helix (PPII) is believed to be the preferred conformation for proline-rich regions of sequence in proteins. Such regions have been postulated to be protein-protein interaction domains. The formation of this structure is studied here using simple Monte Carlo computer simulations employing the hard sphere potential. It is found that polyproline sequences adopt only the PPII structure in the simulations. Non-proline, non-glycine residues inserted as guests into polyproline host peptides are conformationally restricted by the following proline residues and tend to be part of the PPII helix. It is found through insertion of two alanine residues into polyproline that the PPII structure is not propagated through more than one non-proline residue. This finding calls into question the hypothesis that proline-rich regions will preferentially adopt this structure since many such sequences are comprised of less than 50% proline residues.

Amino Acid Sequence↗

Modeling unfolded states of proteins and peptides. II. Backbone solvent accessibility.

Buried surface area is often used as a measure of the contribution to protein folding from the hydrophobic effect. Quantitatively, the surface buried upon folding is reckoned as the difference in area between the native and unfolded states. This calculation is well defined for a known structure but model-dependent for the unfolded state. In a previous paper [Creamer, T. P., Srinivasan, R., & Rose, G. D. (1995) Biochemistry 34, 16245-16250], we developed two models that bracket the surface area of the unfolded state between limiting extremes. Using these extrema, it was shown that earlier models, such as an extended tripeptide, overestimate the surface area of side chains in the unfolded state. In this sequel to our previous paper, we focus on backbone surface in the unfolded state, again adopting the strategy of trapping the area between limiting extrema. A principal conclusion of this present study is that most backbone surface in proteins is buried within local structure.

Amino Acids↗

Solvation energies of amino acid side chains and backbone in a family of host-guest pentapeptides.

Octanol-to-water solvation free energies of acetyl amino amides (Ac-X-amides) [Fauchère, J.L., & Pliska, V. (1983) Eur. J. Med. Chem. --Chim. Ther. 18,369] form the basis for computational comparisons of protein stabilities by means of the atomic solvation parameter formalism of Eisenberg and McLachlan [(1986) Nature 319, 199]. In order to explore this approach for more complex systems, we have determined by octanol-to-water partitioning the solvation energies of (1) the guest (X) side chains in the host-guest pentapeptides AcWL-X-LL, (2) the carboxy terminus of the pentapeptides, and (3) the peptide bonds of the homologous series of peptides AcWLm (m = 1-6). Solvation parameters were derived from the solvation energies using estimates of the solvent-accessible surface areas (ASA) obtained from hard-sphere Monte Carlo simulations. The measurements lead to a side chain solvation-energy scale for the pentapeptides and suggest the need for modifying the Asp, Glu, and Cys values of the "Fauchère-Pliska" solvation-energy scale fro the Ac-X-amides. We find that the unfavorable solvation energy of nonpolar residues can be calculated accurately by a solvation parameter of 22.8 +/- 0.8 cal/mol/A2, which agrees satisfactorily with the AC-X-amide data and thereby validates the Monte Carlo ASA results. Unlike the Ac-X-amide data, the apparent solvation energies of the uncharged polar residues are also largely unfavorable. This unexpected finding probably results, primarily, from differences in conformation and hydrogen bonding in octanol and buffer but may also be due to the additional flaking peptide bonds of the pentapeptides. The atomic solvation parameter (ASP) for the peptide bond is comparable to the ASP of the charged carboxy terminus which is an order of magnitude larger than the ASP of the uncharged polar side chains of the Ac-X-amides. The very large peptide bond ASP, -96 +/- 6 cal/mol/A2, profoundly affects the results of computational comparisons of protein stability which use ASPs derived from octanol-water partitioning data.

Amides↗

Direct measurement of salt-bridge solvation energies using a peptide model system: implications for protein stability.

The solvation energies of salt bridges formed between the terminal carboxyl of the host pentapeptide AcWL- X-LL and the side chains of Arg or Lys in the guest (X) position have been measured. The energies were derived from octanol-to-buffer transfer free energies determined between pH 1 and pH 9. 13C NMR measurements show that the salt bridges form in the octanol phase, but not in the buffer phase, when the side chains and the terminal carboxyl group are charged. The free energy of salt-bridge formation in octanol is approximately -4 kcal/mol (1 cal = 4.184 J), which is equal to or slightly larger than the sum of the solvation energies of noninteracting pairs of charged side chains. This is about one-half the free energy that would result from replacing a charge pair in octanol with a pair of hydrophobic residues of moderate size. Therefore, salt bridging in octanol can change the favorable aqueous solvation energy of a pair of oppositely charged residues to neutral or slightly unfavorable but cannot provide the same free energy decrease as hydrophobic residues. This is consistent with recent computational and experimental studies of protein stability.

Amino Acid Sequence↗

Modeling unfolded states of peptides and proteins.

The hydrophobic effect is the major factor that drives a protein molecule toward collapse and folding. In this process, residues with apolar side chains associate to form a solvent-shielded hydrophobic core. Often, this hydrophobic contribution to folding is quantified by measuring buried apolar surface area, reckoned as the difference in area between hydrophobic groups in the folded protein and in a standard state. Typically, the standard state area of a residue is obtained from tripeptide models, with the results taken to implicitly represent values appropriate for the unfolded state. Here, we show that a tripeptide is a poor descriptor of the unfolded state, and its widespread use has prompted erroneous conclusions about folding. As an alternative, we explore two limiting models, chosen to bracket the expected behavior of the unfolded chain between reliable extremes. One extreme is represented by simulated hard-sphere peptides and shown to behave like a homopolymer with excluded volume in a good solvent. The other extreme is represented by fragments excised from folded proteins and conjectured to approximate the time-average behavior of a thermally denatured protein at Tm, the midpoint of the unfolding transition. Using these models, it is shown that the area buried by apolar side chains upon folding is considerably less than earlier estimates. For example, upon transfer from the unfolded state to the middle of an alpha-helix, an alanine side chain buries negligible area and, surprisingly, a valine side chain actually gains area. Among other applications, an improved model of the unfolded state can be used to better evaluate the driving force for helix formation in peptides and proteins.

Amino Acids↗

Interactions between hydrophobic side chains within alpha-helices.

The thermodynamic basis of helix stability in peptides and proteins is a topic of considerable interest. Accordingly, we have computed the interactions between side chains of all hydrophobic residue pairs and selected triples in a model helix, using Boltzmann-weighted exhaustive modeling. Specifically, all possible pairs from the set Ala, Cys, His, Ile, Leu, Met, Phe, Trp, Tyr, and Val were modeled at spacings of (i, i + 2), (i, i + 3), and (i, i + 4) in the central turn of a model poly-alanyl alpha-helix. Significant interactions--both stabilizing and destabilizing-- were found to occur at spacings of (i, i + 3) and (i, i + 4), particularly in side chains with rings (i.e., Phe, Tyr, Trp, and His). In addition, modeling of leucine triples in a helix showed that the free energy can exceed the sum of pairwise interactions in certain cases. Our calculated interaction values both rationalize recent experimental data and provide previously unavailable estimates of the constituent energies and entropies of interaction.

Amino Acid Sequence↗

Alpha-helix-forming propensities in peptides and proteins.

Much effort has been invested in seeking to understand the thermodynamic basis of helix stability in both peptides and proteins. Recently, several groups have measured the helix-forming propensities of individual residues (Lyu, P.C., Liff, M.I., Marky, L.A., Kallenbach, N.R. Science 250:669-673, 1990; O'Neil, K.T., DeGrado, W.F. Science 250:646-651, 1990; Padmanabhan, S., Marqusee, S., Ridgeway, T., Laue, T.M., Baldwin, R.L. Nature (London) 344:268-270, 1990). Using Monte Carlo computer simulations, we tested the hypothesis that these differences in measured helix-forming propensity are due primarily to loss of side chain conformational entropy upon helix formation (Creamer, T.P., Rose, G.D. Proc. Natl. Acad. Sci. U.S.A. 89:5937-5941, 1992). Our previous study employed a rigid helix backbone, which is here generalized to a completely flexible helix model in order to ensure that earlier results were not a methodological artifact. Using this flexible model, side chain rotamer distributions and entropy losses are calculated and shown to agree with those obtained earlier. We note that the side chain conformational entropy calculated for Trp in our previous study was in error; a corrected value is presented. Extending earlier work, calculated entropy losses are found to correlate strongly with recent helix propensity scales derived from substitutions made within protein helices (Horovitz, A., Matthews, J.M., Fersht, A.R. J. Mol. Biol. 227:560-568, 1992; Blaber, M., Zhang, X.-J., Matthews, B.M. Science 260:1637-1640, 1993). In contrast, little correlation is found between these helix propensity scales and the accessible surface area buried upon formation of a model polyalanyl alpha-helix. Taken in sum, our results indicate that loss of side chain entropy is a major determinant of the helix-forming tendency of residues in both peptide and protein helices.

Computer Simulation↗

Side-chain entropy opposes alpha-helix formation but rationalizes experimentally determined helix-forming propensities.

In recent host-guest studies, the helix-forming tendencies of amino acid residues have been quantified by three groups, each obtaining similar results [Padmanabhan, S., Marqusee, S., Ridgeway, T., Laue, T. M. & Baldwin, R. L. (1990) Nature (London) 344, 268-270; O'Neil, K. T. & DeGrado, W. F. (1990) Science 250, 646-651; Lyu, P. C., Liff, M. I., Marky, L. A. & Kallenbach, N. R. (1990) Science 250, 669-673]. Here, we explore the hypothesis that these measured helix-forming propensities are due primarily to conformational restrictions imposed upon residue side chains by the helix itself. This proposition is tested by calculating the extent to which the bulky helix backbone "freezes out" available degrees of freedom in helix side chains. Specifically, for a series of apolar residues, the difference in configurational entropy, delta S, between each side chain in the unfolded state and in the alpha-helical state is obtained from a simple Monte Carlo calculation. These computed entropy differences are then compared with the experimentally determined values. Measured and calculated values are found to be in close agreement for naturally occurring amino acids and in total disagreement for non-natural amino acids. In the calculation, delta S(Ala) = 0. The rank order of entropy loss for the series of natural apolar side chains under consideration is Ala less than Leu less than Trp less than Met less than Phe less than Ile less than Tyr less than Val. Among these, none favor helix formation; Ala is neutral, and all remaining residues are unfavorable to varying degrees. Thus, applied to side chains, the term "helix preference" is a misnomer. While side chain-side chain interactions may modulate stability in some instances, our results indicate that the drive to form helices must originate in the backbone, consistent with Pauling's view of four decades ago [Pauling, L., Corey, R. B. & Branson, H. R. (1951) Proc. Natl. Acad. Sci. USA 37, 205-210].

Amino Acids↗