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  • 1
    ISSN: 0022-3832
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: The hydrodynamic properties of native and urea-denatured fibrinogen have been investigated, primarily to examine further the suggestion, based on a consideration of data for horse serum albumin, that urea denaturation may involve swelling instead of increased asymmetry. A sedimentation-diffusion and also a light scattering molecular weight determination at the isoelectric point indicate that 6 M urea causes neither splitting nor aggregation of the native protein in the denaturation process. The observed increase in the intrinsic viscosity and frictional coefficient upon denaturation can be interpreted in terms of an equivalent hydrodynamic ellipsoid of approximately the same shape but of a volume which is approximately 1.7 times that for the native protein. The effective volume appears to be slightly dependent on pH with a minimum at the isoelectric point. It thus appears that the urea denaturation of bovine fibrinogen, like that of horse serum albumin, may involve swelling. There is no indication in the case of either protein that increased asymmetry is involved in accounting for the frictional behavior of the denatured substances.
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  • 2
    ISSN: 0192-8651
    Keywords: protein folding ; multibody interactions ; electrostatic interactions ; cumulant expansion ; potential of mean force ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Based on the dipole model of peptide groups developed in our earlier work [Liwo et al., Prot. Sci., 2, 1697 (1993)], a cumulant expansion of the average free energy of the system of freely rotating peptide-group dipoles tethered to a fixed α-carbon trace is derived. A graphical approach is presented to find all nonvanishing terms in the cumulants. In particular, analytical expressions for three- and four-body (correlation) terms in the averaged interaction potential of united peptide groups are derived. These expressions are similar to the cooperative forces in hydrogen bonding introduced by Koliński and Skolnick [J. Chem. Phys., 97, 9412 (1992)]. The cooperativity arises here naturally from the higher order terms in the power-series expansion (in the inverse of the temperature) for the average energy. Test calculations have shown that addition of the derived four-body term to the statistical united-residue potential of our earlier work [Liwo et al., J. Comput. Chem., 18, 849, 874 (1997)] greatly improves its performance in folding poly-L-alanine into an α-helix.   © 1998 John Wiley & Sons, Inc.   J Comput Chem 19: 259-276, 1998
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  • 3
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 18 (1997), S. 403-415 
    ISSN: 0192-8651
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A method has been developed for minimizing the energy of a polypeptide with rigid geometry while keeping all disulfide loops closed exactly. Exact closure of disulfide loops implies that some dihedral angles become implicit functions of the remaining dihedral angles in the polypeptide; the efficacy of the method is related to the manner in which the implicitly defined dihedral angles are chosen. The method has been used to find minimum-energy conformations of bovine pancreatic trypsin inhibitor, ribonuclease A, crambin, the defensin HNP3 dimer, and ω-conotoxin. For the first two proteins, the starting conformations for energy minimization had been derived previously from crystal structures using pseudopotentials to keep the disulfide loops almost closed. Starting conformations for the remaining three proteins were derived from their crystal or NMR structures by similar procedures. In all cases, the energy-minimized structures had a significantly and, in some cases, substantially, lower energy than the starting structures. The RMS deviations between the exactly closed energy- minimized structures and the crystal or NMR structures from which they were derived ranged from 0.9 Å to 1.9 Å, suggesting that the computed structures can serve as “regularized” native structures for these proteins. The energy of a ribonuclease derivative lacking the 65-72 disulfide bridge was minimized using the procedure; the result showed that this derivative has a low-energy structure with a conformation very close to that of native ribonuclease, and is consistent with its postulated role in the folding of ribonuclease. These results offer strong support for the validity of the rigid-geometry model in the studies of the conformational energy of proteins. © 1997 by John Wiley & Sons, Inc.
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  • 4
    ISSN: 0192-8651
    Keywords: protein structure prediction ; united-residue representation of a polypeptide chain ; potential of mean force ; inverse folding ; Z-score ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Continuing our work on the determination of an off-lattice united-residue force field for protein-structure simulations, we determined and parameterized appropriate functional forms for the local-interaction terms, corresponding to the rotation about the virtual bonds (Utor), the bending of virtual-bond angles (Ub), and the energy of different rotameric states of side chains (Urot). These terms were determined by applying the Boltzmann principle to the distributions of virtual-bond torsional and virtual-bond angles and side-chain rotameric states, respectively, calculated from a data base of 195 high-resolution nonhomologous proteins. The complete energy function was constructed by combining the individual energy terms with appropriate weights. The weights were determined by optimizing the so-called Z-score value (which is the normalized difference between the energy of the native structure and the mean energy of non-native structures) of the histidine-containing phosphocarrier protein from Streptococcus faecalis (1PTF; an 88-residue α + β protein). To accomplish this, a database of Cα patterns was created using high-resolution nonhomologous protein structures from the Protein Data Bank, and the distributions of energy components of 1PTF were obtained by threading its sequence through ∼500 randomly chosen Cα-patterns from the X-ray structures in the PDB, followed by energy minimization, with the energy function incorporating initially guessed weights. The resulting minimized energies were used to optimize the Z-score value of 1PTF as a function of the weights of the various energy terms, and the new weights were used to generate new energy-component distributions. The process was iterated, until the weights used to generate the distributions and the optimized weights were self-consistent. The potential function with the weights of the various energy terms obtained by optimizing the Z-score value for 1PTF was found to locate the native structures of other test proteins (within an average RMS deviation of 3 Å): calcium-binding protein (4ICB), ubiquitin (1UBQ), α-spectrin (1SHG), major cold-shock protein (1MJC), and cytochrome b5 (3B5C) (which included α and β structures) as distinctively lowest in energy in similar threading experiments. © 1997 by John Wiley & Sons, Inc. J Comput Chem 18: 874-887, 1997
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  • 5
    ISSN: 0192-8651
    Keywords: protein structure prediction ; united-residue representation of a polypeptide chain ; potential of mean force ; radial and angular distribution functions ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A two-stage procedure for the determination of a united-residue potential designed for protein simulations is outlined. In the first stage, the long-range and local-interaction energy terms of the total energy of a polypeptide chain are determined by analyzing protein-crystal data and averaging the all-atom energy surfaces. In the second stage (described in the accompanying article), the relative weights of the energy terms are optimized so as to locate the native structures of selected test proteins as the lowest energy structures. The goal of the work in the present study is to parameterize physically reasonable functional forms of the potentials of mean force for side-chain interactions. The potentials are of both radial and anisotropic type. Radial potentials include the Lennard-Jones and the shifted Lennard-Jones potential (with the shift parameter independent of orientation). To treat the angular dependence of side-chain interactions, three functional forms of the potential that were designed previously to describe anisotropic systems are evaluated: Berne-Pechukas (dilated Lennard-Jones); Gay-Berne (shifted Lennard-Jones with orientation-dependent shift parameters); and Gay-Berne-Vorobjev (the same as the preceding one, but with one more set of variable parameters). These functional forms were used to parameterize, within a short-distance range, the potentials of mean force for side-chain pair interactions that are related by the Boltzmann principle to the pair correlation functions determined from protein-crystal data. Parameter determination was formulated as a generalized nonlinear least-squares problem with the target function being the weighted sum of squares of the differences between calculated and “experimental” (i.e., estimated from protein-crystal data) angular, radial-angular, and radial pair correlation functions, as well as contact free energies. A set of 195 high-resolution nonhomologous structures from the Protein Data Bank was used to calculate the “experimental” values. The contact free energies were scaled by the slope of the correlation line between side-chain hydrophobicities, calculated from the contact free energies, and those determined by Fauchere and Pliška from the partition coefficients of amino acids between water and n-octanol. The methylene group served to define the reference contact free energy corresponding to that between the glycine methylene groups of backbone residues. Statistical analysis of the goodness of fit revealed that the Gay-Berne-Vorobjev anisotropic potential fits best to the experimental radial and angular correlation functions and contact free energies and therefore represents the free-energy surface of side-chain-side-chain interactions most accurately. Thus, its choice for simulations of protein structure is probably the most appropriate. However, the use of simpler functional forms is recommended, if the speed of computations is an issue. © 1997 by John Wiley & Sons, Inc. J Comput Chem 18: 849-873, 1997
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  • 6
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Time-dependent fluorescence measurements have been used to determine the distribution of distances between probes attached to residues 1 and (49 + 53) of bovine pancreatic ribonuclease A in the native, denatured, and reduced-denatured states. Measurements were made on donor and on doubly labeled (donor + acceptor) protein in 50% aqueous glycerol solutions at -30°C and at room temperature. The fluorescence-decay curves were used to compute distribution functions for the interprobe distances. The native protein has a narrow distribution of interprobe distances at -30°C (high-viscosity medium); this distribution is narrower at room temperature (low-viscosity medium), due primarily to the dynamic flexibility of the probes. Denaturation by 6M guanidine hydrochloride leads to a wider distribution of distances at -30°C, with a shift of the distribution curve to larger distances, because of the increased disorder of the protein. Reduction of the disulfide bonds by dithiothreitol leads to further decreases in transfer efficiency (a unique distribution curve for the reduced protein was not obtained because of the low transfer efficiency). Both the denatured and reduced-denatured species have average interprobe distances of about 60 Å, compared to 36 Å for the native protein. Reduction of the solvent viscosity leads to nearly monoexponential decay of the donor fluorescence in the doubly labeled derivative. This is interpreted as a manifestation of fast local Brownian motions. It appears that large-scale segmental motions do not take place in the denatured protein within the excited-state lifetime of the donor (ca. 8 ns). The above results indicate that reduced-denatured ribonuclease A has residual structure that limits segmental Brownian motion in the N-terminal segment.
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  • 7
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Water-soluble random copolymers containing L-proline and N5-(4-hydroxybutyl)-L-glutamine were synthesized by copolymerization of the tripeptides H-L-Glu(OBzl)-L-Glu(OBzl)-L-Glu(OBzl)-OH and H-L-Glu(OBzl)-L-Pro-L-Glu(OBzl)-OH, using ben-zotriazolyl-N-oxy-tris(dimethylamino)-phosphonium hexafluorophosphate as condensing reagent, and subsequent aminolysis of the Bzl ester groups with 4-amino-1-butanol. These copolymers were found to contain significant amounts of N5-(4-hydroxybutyl)-D-glutamine, thus requiring the synthesis of a binary copolymer containing only D- and L-N5-(4-hydroxybutyl)glutamine residues in order to evaluate the possible effects of the D-residues on the conformational properties of poly(hydroxybutylglutamine-co-L-proline). The different copolymers were fractionated, and their thermally induced helix-coil transition curves were obtained in water at neutral pH. When proper corrections were applied for the helix-destabilizing properties of N5-(4-hydroxybutyl)-D-glutamine, the Zimm-Bragg parameters σ and s for L-proline could be deduced from the melting curves of poly (hydroxybutylglutamine-co-L-proline). The results indicate that L-proline acts as a very strong helix breaker over the entire temperature range from 0 to 60°C.
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  • 8
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Water-soluble, random copolymers containing N5-(4-hydroxybutyl)-L-glutamine (host) and S-methylthio-L-cysteine (guest) have been prepared, fractionated, and characterized, with S-methylthio-L-cysteine serving as a model for cystine residues in proteins. From the thermally induced helix-coil transition curves of these copolymers in water at neutral pH, the Zimm-Bragg parameters σ and s for the helix-coil transition of “poly(L-cystine)” were deduced. The results show that the cystine model acts as a weak helix-breaker over the entire temperature range from 0 to 60°C. The implications of this finding are evaluated in the context of a general discussion of the Zimm-Bragg parameters for all the 20 naturally occurring amino acids.
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  • 9
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Using a recently developed parallel computation algorithm, ab initio self-consistent field (SCF) calculations were carried out to estimate the relative hydration energies for 12 low-energy conformations of N-acetyl-N′-methyl-alanineamide. The requisite SCF calculations were carried out using 6-31G and 6-31G* basis sets, both in the absence and presence of a perturbing potential arising from a model solvent. The αR, αL, polyproline II (PII), and π helical conformations were preferentially stabilized by the solvent potential, whereas conformations with intramolecular hydrogen-bonding C5 and C7 were preferred in the gas phase. Average vicinal nmr coupling constants (JNH-CαH), calculated using the total energies of the various solvated conformations, were consistent with observed coupling constants for this peptide in aqueous solution. Substantial alteration of the solute charge density occurred upon equilibration with the reaction field, as was exemplified in changes both in the molecular dipole moments and in atom-centered multipoles, when the molecule was transferred from a medium of low dielectric constant to one of high dielectric constant. In order to model these changes in charge density with an empirical scheme, we have implemented a novel monopolar representation of the solute charge density based on a potential-dependent form of partial equalization of orbital electronegativities (PDPEOE). In the atom-centered point charge PDPEOE representation, charge Hows from one region of the solute to another in response to external fields. Hydration energies calculated using the PDPEOE representation are similar to those calculated by the SCF procedure. Also, the PDPEOE calculations yielded changes in molecular dipole moments upon solvation that agreed closely with the changes in the calculated ab initio SCF dipole moments.
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  • 10
    Electronic Resource
    Electronic Resource
    New York : Wiley-Blackwell
    Biopolymers 42 (1997), S. 363-371 
    ISSN: 0006-3525
    Keywords: surface area ; molecular dynamics ; Monte Carlo simulation ; free energy of hydration ; solvent effects ; angiotensin II ; Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: As a test for comparing explicit and implicit treatments of solvation, conformational analyses of the octapeptide angiotensin II have been carried out using molecular dynamics and Monte Carlo simulations. The molecular dynamics treatment uses an explicit atomic description of the solvent whereas a solvent-accessible surface-area calculation is introduced in the Monte Carlo procedure in order to mimic the effect of the solvent surrounding the solute molecule. Several hydration models proposed in the literature have been considered, and the results obtained by the Monte Carlo procedure indicate that most of these models lead to different behaviors of the peptide in water. The results obtained with each set of solvation parameters are compared with those obtained from molecular dynamics. This work demonstrates that the choice of the solvation parameters is crucial for a proper simulation of the effect of the hydration free energy on the conformations of peptides. When the appropriate parameters are used to simulate solvent effects, good agreement is obtained between molecular dynamics and Monte Carlo approaches. Considering the CPU cost of molecular dynamics simulations with explicit solvent molecules, Monte Carlo calculations using empirical solvation models appear to be more appropriate to sample conformational space of solvated chain molecules. © 1997 John Wiley & Sons, Inc. Biopoly 42: 363-371, 1997
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