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  • Theoretical, Physical and Computational Chemistry  (4)
  • Arginine  (1)
  • Monte Carlo methods  (1)
  • Monte Carlo simulation  (1)
  • 1
    ISSN: 1573-4943
    Keywords: Rat galanin ; conformational energy calculations ; Monte Carlo methods ; effect of environment on conformation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The conformation of the 29-residue rat galanin neuropeptide was studied using the Monte Carlo with energy minimization (MCM) and electrostatically driven Monte Carlo (EDMC) methods. According to a previously elaborated procedure, the polypeptide chain was first treated in a united-residue approximation, in order to enable extensive exploration of the conformational space to be carried out (with the use of MCM), Then the low-energy united-residue conformations were converted to the all-atom representations, and EDMC simulations were carried out for the all-atom polypeptide chains, using the ECEPP/3 force field with hydration included. In order to estimate the effect of environment on galanin conformation, the low-energy conformations obtained as a result of these simulations were taken as starting structures for further EDMC runs that did not include hydration. The lowest-energy conformation obtained in aqueous solution calculations had a nonhelical N-terminal part packed against the nonpolar face of a residual helix that extended from Pro13 toward the C-terminus. One next lowest-energy structure was a nearly-all-helical conformation, but with a markedly higher energy. In contrast, all of the low-energy conformations in the absence of water were all-helical differing only by the extent to which the helix was kinked around Pro13. These results are in qualitative agreement with the available NMR and CD data of galanin in aqueous and nonaqueous solvents.
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  • 2
    ISSN: 1573-4943
    Keywords: Arginine ; guanidinium ; ion-pair interactions ; solvation ; electrostatic ; semi-empirical
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract Although the majority of the ion pairs found in proteins consists of two charges of opposite sign, the observation of some unusual arrangements of two arginines led us to a search of such occurrences in the Brookhaven Protein Data Bank. We have found 41 Arginine-Arginine interactions with a Cζ...Cζ distance less than 5 å. Computer graphics analysis of these structures shows that most of the Arg-Arg pairs are found in the vicinity of the surface of the proteins, in an easily hydrated region. In order to determine which factors could stabilize such arrangements of species of similar charge, we have carried out AM1 semi-empirical calculations on a model of two guanidinium ions surrounded by several water molecules. The results show the existence of stable clusters with six or more water molecules, with distances between Cζ atoms around 3 å. The bridging role of the water molecules is an important structural and energetic feature and we find bridges of two and three molecules between the guanidinium ions. These results are in good agreement with the structures found in our search of the experimental data. Enhancement of the electrostatic potential around these clusters, when compared to one of the guanidinium ions alone, is also demonstrated.
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  • 3
    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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  • 4
    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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  • 5
    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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  • 6
    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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  • 7
    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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