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  • 101
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 16 (1995), S. 1447-1447 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Type of Medium: Electronic Resource
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  • 102
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    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 16 (1995), S. 1449-1458 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: We present a formal and numerical comparison between the iterative and matrix-inversion approaches of the polarizable continuum model. The formal analysis shows completely the equivalence of the two approaches. Numerical equivalence is also recovered, introducing in both methods the proper boundary conditions on the apparent charge distribution. © 1995 John Wiley & Sons, Inc.
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  • 103
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    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 16 (1995), S. 1459-1467 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: This article presents a new method for topological analysis of molecular surfaces. Explicit representation of the van der Waals interaction according to the Lennard-Jones potential enabled determination of the function of the maximum radius of a hypothetical atomic probe in any location, r, inside the host's domain. The size of the spatial gradient of the maximal probe's volume (named the ξ value) at that location was found to be a good descriptor of the local shape of the host. Consequently, mapping of the host domain according to the ξ value could be used as a quantitative tool for localization of potent local binding sites. The proposed method is illustrated by mapping an organic host (calix[4]arene) as well as an enzyme (HIV-aspartic protease). Analysis of the calix[4]arene derivative revealed that the proposed method reproduces immediately the known binding site of conic calix[4]arenes. The second test case demonstrated how the catalytic site of the enzyme could be disassembled into many local binding sites. Some of these sites, located according to the proposed method, were found to follow the shape of a known inhibitor of the enzyme in a complementary manner. © 1995 John Wiley & Sons, Inc.
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  • 104
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    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 16 (1995), S. 1468-1473 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A new technique incorporating the protein-dipole Langevin-dipole (PDLD) model into the Tanford-Kirkwood (TK) formula has been proposed which provides a rather detailed description of solvent and ionic strength effects on the electrostatic energies. Applications of this method to realistic problems have been performed and concern the solvation energies of four residues of bovine pancreatic trypsin inhibitor (BPTI) and the pK shift of His-64 of mutant subtilisin BPN′. We focus our calculation on the back-field effects of bulk solvent.The determination of protein-induced dipoles is cumbersome due to the solvent screening effects. The protein-induced dipoles are dependent on their local electric fields, which come from the protein net charges, the surrounding water molecules, and bulk solvent. The bulk solvent will usually screen the electric fields from the protein net charges and dipoles, which are defined here as the back-field effects of bulk solvent on protein net charges and dipoles, respectively. Our calculations indicate that the back-field effects of bulk solvent on protein dipoles can simply be ignored, introducing a relative error less than 3%; whereas such back field-effects on protein net charges are relatively important and cannot simply be ignored, especially when considering a system of highly charged species. © 1995 John Wiley & Sons, Inc.
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  • 105
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The shape group method (SGM) and the associated (a,b)-parameter maps provide a detailed shape characterization of molecular charge distributions. This method is applied to the study of the variations of shape and conjugation of conformers of 2-phenyl pyrimidine in their electronic ground state. Within the SGM framework, the method of (a,b)-parameter maps provides a concise, nonvisual, algorithmic technique for shape characterization of molecules with fixed nuclear geometries. Moreover, shape codes derived from the (a,b)-parameter maps afford a practical means for efficiently storing the shape properties of molecules in an electronic database. The shape codes of two or more charge distributions can be compared directly, and numerical measures of molecular shape similarity can be computed using a technique that is simple, fast, and inexpensive, especially in relation to direct, pairwise comparisons of electronic charge densities. The quantitative and automated nature of the method suggests applications in the field of computer-aided molecular design. In this study, the method is used for the first time to determine detailed numerical shape codes and shape similarity measures for a nontrivial conformational problem involving changes in energy and in conjugation. Numerical shape similarity measures of eight conformers of 2-phenyl pyrimidine are determined and correlated with variations in conformational energy and conjugation. The competing effects of steric repulsion and conjugation lead to important correlations between conformational energy and shape. © 1995 John Wiley & Sons, Inc.
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  • 106
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Three- and four-center Slater orbital bielectronic integrals are evaluated by means of a complete function set. The method provides a series to approximate the bielectronic integrals. Their corresponding partial sums are analyzed in detail for 1s orbitals. The comparison with the Fourier transform-based method brings forth encouraging perspectives for the present approach. © 1995 John Wiley & Sons, Inc.
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  • 107
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Density functional theory is tested on a large ensemble of model compounds containing a wide variety of functional groups to understand better its ability to reproduce experimental molecular geometries, relative conformational energies, and dipole moments. We find that gradient-corrected density functional methods with triple-ζ plus polarization basis sets reproduce geometries well. Most bonds tend to be approximately 0.015 Å longer than the experimental results. Bond angles are very well reproduced and most often fall within a degree of experiment. Torsions are, on average, within 4 degrees of the experimental values. For relative conformational energies, comparisons with Hartree-Fock calculations and correlated conventional ab initio methods indicate that gradient-corrected density functionals easily surpass the Hartree-Fock approximation and give results which are nearly as accurate as MP2 calculations. For the 35 comparisons of conformational energies for which experimental data was available, the root mean square (rms) deviation for gradient-corrected functionals was approximately 0.5 kcal mol-1. Without gradient corrections, the rms deviation is 0.8 kcal mol-1, which is even less accurate than the Hartree-Fock calculations. Calculations with extended basis sets and with gradient corrections incorporated into the self-consistent procedure generate dipole moments with an rms deviation of 5%. Dipole moments from local density functional calculations, with more modest basis sets, can be scaled down to achieve roughly the same accuracy. In this study, all density functional geometries were generated by local density functional self-consistent calculations with gradient corrections added in a perturbative fashion. Such an approach generates results that are almost identical to the self-consistent gradient-corrected calculations, which require significantly more computer time. Timings on scalar and vector architectures indicate that, for moderately sized systems, our density functional implementation requires only slightly less computer resources than established Hartree-Fock programs. However, our density functional calculations scale much better and are significantly faster than their MP2 counterparts, whose results they approach. © 1995 John Wiley & Sons, Inc.
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  • 108
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    Journal of Computational Chemistry 16 (1995), S. 1513-1521 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The relative free energy difference (ΔΔGhyd) for the reversible addition of water to two unsaturated molecules is accurately computed using a combination of ab initio quantum mechanical calculations and free energy perturbation methods. Initial attempts to calculate the absolute hydration free energy difference (ΔGhyd) for formaldehyde and trichloroacetaldehyde gave values that differed substantially from experimental results even after inclusion of electron correlation energy contributions using third-order (MP3) and fourth-order (MP4) Møller-Plesset perturbation theory and QCISD(T) correlation methods at the 6-31G** basis set level. Inaccuracies in ΔGhyd were attributed to errors in the calculation of both ΔGgas and ΔΔGsol. Gas phase quantum mechanical free energies (ΔGgas) varied significantly (2-3 kcal/mol) depending on the level of theory. Errors in ΔΔGsol were attributed to slow convergence of the calculations using the thermodynamic cycle perturbation (TCP) method with explicit solvent. These errors were minimized or canceled, however, when relative hydration free energy differences (ΔΔGhyd) were calculated using a combination of ab initio quantum mechanical calculations and free energy perturbation methods. Calculated values for a variety of aldehydes and ketones were consistent with experimental data. © 1995 John Wiley & Sons, Inc.
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  • 109
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    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 16 (1995), S. 1522-1542 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Methods have been developed for the determination of vibrational frequencies and normal modes of large systems in the full conformational space (including all degrees of freedom) and in a reduced conformational space (reducing the number of degrees of freedom). The computational method, which includes Hessian generation and storage, full and iterative diagonalization techniques, and the refinement of the results, is presented. A method is given for the quasiharmonic analysis and the reduced basis quasiharmonic analysis. The underlying principle is that from the atomic fluctuations, an effective harmonic force field can be determined relative to the dynamic average structure. Normal mode analysis tools can be used to characterize quasiharmonic modes of vibration. These correspond to conventional normal modes except that anharmonic effects are included. Numerous techniques for the analyses of vibrational frequencies and normal modes are described. Criteria for the analysis of the similarity of low-frequency normal modes is presented. The approach to determining the natural frequencies and normal modes of vibration described here is general and applicable to any large system. © 1995 John Wiley & Sons, Inc.This article is a U.S. Government work and, as such, is in the public domain in the United States of America.
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  • 110
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    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 16 (1995), S. 1543-1553 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A series of normal mode analyses of bovine pancreatic trypsin inhibitor (BPTI) has been performed. The results of modifying the long-range truncation of electrostatics, reducing the conformational space of the system (reduced basis normal mode analysis), and using different parameter sets and models for the potential function are reported. Both explicit (904 atoms) and polar hydrogen (580 atoms) representations of BPTI were examined and produced nearly identical normal mode vectors but slightly modified vibrational frequencies. The truncation methods - no cutoff, shift, and switch - were examined, and the use of a short switching function was found to alter harmonic motion greatly. A table relating the different cutoff methods to several previously published frequencies for BPTI indicates that the diversity of published lowest frequencies is due to the use of different electrostatic models rather than to inherent differences in the models or energy parameters. Examining reduced basis results demonstrates that a dihedral basis yields similar normal mode vectors, though the vibrational frequencies are shifted to higher values. The analysis of BPTI harmonic dynamics using a spherical harmonic reduced basis set yields significantly altered dynamics, indicating that BPTI is not well represented as a homogeneous object at low temperatures. © 1995 John Wiley & Sons, Inc.This article is a U.S. Government work and, as such, is in the public domain in the United States of America.
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  • 111
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    Journal of Computational Chemistry 16 (1995), S. 1554-1566 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Atomic motions in bovine pancreatic trypsin inhibitor (BPTI), derived from molecular dynamics, harmonic analysis, and quasiharmonic analysis, are compared when a single protein model, energy parameters, and environment are employed. Molecular dynamics (MD) was carried out for 2 nanoseconds. An average structure was determined from the last nanosecond of the MD simulation, when no major structural changes were observed. This structure was used for several harmonic analysis calculations as well as for a reference structure for the quasiharmonic analysis, for both full basis and reduced basis sets. In contrast to the harmonic analysis results, the quasiharmonic reduced basis calculation using a spherical harmonics reduced basis provided good agreement with the full basis calculation, suggesting that when anharmonic effects are considered, BPTI can behave as a homogeneous object. An extensive analysis of the normal modes from a diverse set of 201 minimized MD simulation frames was performed. On only the sub-picosecond time scale were energy minima revisited after a transition to another state. This analysis shows that the dynamics average structure is not representative of the simulation frames in terms of energy and vibrational frequencies. For this model of BPTI, 42% of the motion (mean-squared fluctuation) can be attributed to harmonic limit behavior. A spectral analysis of the correlation function of deformation for a particular normal mode or quasiharmonic mode can be used to determine the time scales of motions which correspond to harmonic vibration, large-scale drift, or sharp transitions between local substrates. © 1995 John Wiley & Sons, Inc.
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  • 112
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    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 16 (1995) 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
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  • 113
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    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 16 (1995), S. 20-30 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A new formulation (CLS-PCM) for the calculation of the apparent surface charges in the framework of the ab initio polarizable continuum model of the solvent (PCM) is introduced. Its performance is compared with that of the original iterative version (ITER-PCM) of the method as well as with a matricial alternative formulation (matrix-BEM-PCM) of the same problem. Both CLS-PCM and matrix-BEM-PCM have shown to be computationally more efficient than ITER-PCM without presenting any problems associated with the convergence of the process. Although for small and medium-size solutes the use of matrix-BEM-PCM is recommended, for neutral solutes of larger size the use of CLS2 becomes computationally more convenient. Finally, for very large-size systems, compromise between matrix storage requirements, time of calculation, and exactness of the results may make preferable the use of the more approximate CLS1 formalism, possibly in conjunction with semiempirical or semiclassical descriptions of the solute. © 1995 by John Wiley & Sons, Inc.
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  • 114
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    Journal of Computational Chemistry 16 (1995), S. 31-36 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The geometries of a fourfold bridged tricyclo[4.2.0.02,5]octa-3,7-diene (1) and its photoproducts 2 and 3 were calculated by Hartree-Fock ab initio (3-21G and DZP basis) and semiempirical (MNDO, AM1, MINDO /3) methods. It was found that due to the smaller distance between the double bonds in 1 (2.65 Å) as compared to the parent tricyclo[4.2.0.02,5]octa-3,7-diene (4) (2.91 Å), the sequence of the frontier orbitals is different. In the case of 1, the photochemical [2 + 2]cycloaddition is allowed, whereas in 4 it is forbidden. © 1995 by John Wiley & Sons, Inc.
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  • 115
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    Journal of Computational Chemistry 16 (1995), S. 1-19 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The point-chart approximation of the Miertus-Scrocco-Tomasi solvation model (MST-PC) based on a continuum representation of the solvent has been incorporated in force field calculations. Application in molecular mechanics (MM) involves conformational equilibria in solution: rotational isomers of ethylene glycol (I), 1,2-difluoreothane (II), fluoroacetic acid (III), and representative conformers of macrocyclic receptors such as 18-crown-6 (IV), cryptand 2.2.2 (V), and t-butyl-calix[4]arenetetraamide (VI). Assessment of the MST-PC results is based on the comparison with ab initio reactive field calculations (for I-III), with the continuum model of Still (W. C. Still et al., J. Am. Chem. Soc., 1990, 112, 6127) (for I-VI), and with average solute-solvent interaction energies obtained from molecular dynamics (MD) simulations with explicit solvent in water (I-VI) and in acetonitrile (IV-VI). It is demonstrated that the continuum solvent model qualitatively reproduces the trends in solvation energies in water. The few exceptions may be related to particular topological features of the solute. An improved discrete/continuum approach in which some first-shell solvent molecules are considered as a part of the solute embedded in the dielectric continuum provides more realistic results, as is shown for VI in water. The MST-PC model which mimics the solute-solvent electrostatic interaction only fails to reproduce conformationally dependent solvation energies in acetonitrile, in which the electrostatic contribution is relatively small compared to van der Waals interactions. Exploratory MD simulations within the continuum model in water are reported on urea and 18-crown-6. © 1995 by John Wiley & Sons, Inc.
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  • 116
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    Journal of Computational Chemistry 16 (1995), S. 80-90 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The geometric molecular dissimilarity between two molecules is defined as the difference between the volume of their union minus the volume of their intersection. This dissimilarity has the mathematical properties of a distance. This distance is minimized under all rotations and translations using a discrete Broyden, Fletcher, Goldfarb & Shanno (B.F.G.S.) algorithm. The optimal geometric superimposition of saxitoxin and tetrodotoxin is discussed. © 1995 by John Wiley & Sons, Inc.
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  • 117
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    Journal of Computational Chemistry 16 (1995), S. 91-104 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A parallel direct self-consistent field (SCF) algorithm for distributed memory computers is described. Key features of the algorithm are its ability to achieve a load balance dynamically, its modest memory requirements per processor, and its ability to utilize the full eightfold index permutation symmetry of the two-electron integrals despite the fact that entire copies of the Fock and density matrices are not present in each processor's local memory. The algorithm is scalable and, accordingly, has the potential to function efficiently on hundreds of processors. With the algorithm described here, a calculation employing several thousand basis functions can be carried out on a distributed memory machine with 100 or more processors each with just 4 MBytes of RAM and no disk. The Fock matrix build portion of the algorithm has been implemented on a 16-node Intel iPSC/2. Results from benchmark calculations are encouraging. The algorithm shows excellent load balance when run on 4, 8, or 16 processors and displays almost ideal speed-up in going from 4 to 16 processors. Preliminary benchmark calculations have also been carried out on an Intel Paragon. © 1995 by John Wiley & Sons, Inc.
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  • 118
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    Journal of Computational Chemistry 16 (1995), S. 56-79 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Ab initio self-consistent field (SCF) Hartree-Fock calculations of sulfates R—O—SO3(-1) (R = Me, Et, i-Pr) and sulfamates R—NHSO3(-1) (R = H, Me, Et, i-Pr) were performed at the 4-31G(*S*N) //3-21G(*S*N) basis set levels, where asterisks indicate d functions on sulfur and nitrogen atoms. These standard levels were determined by comparing calculation results with several basis sets up to MP2/6-31G*//6-31G*. Several conformations per compound were studied to obtain molecular geometries, rotational barriers, and potential derived point charges. In methyl sulfate, the rotational barrier around the C—O bond is 1.6 kcal/mol at the MP2 level and 1.4 kcal/mol at the standard level. Its ground state has one of three HCOS torsion angles trans and one of three COSO torsion angles trans. Rotation over 60° around the single O—S bond in the sulfate group costs 2.5 kcal/mol at the MP2 and 2.1 kcal/mol at the standard level. For ethyl sulfate, the calculated rotational barrier in going from the ground state, which has its CCOS torsion angle trans, to the syn-periplanar conformation (CCOS torsion angle cis) is 4.8 kcal/mol. However, a much lower barrier of 0.7 kcal/mol leads to a secondary gauchelike conformation about 0.4 kcal/mol above the ground state, with the CCOS torsion angle at 87.6°. Again, one of the COSO torsion angles is trans in the ground state, and the rotational barrier for a 60° rotation of the sulfate group amounts to 1.8 kcal/mol. For methyl sulfamate, the rotational barriers are 2.5 kcal/mol around the C—N bond and 3.3 kcal/mol around the N—S bond. This is noteworthy because sulfamate itself has a calculated rotational barrier around the N—S bond of only 1.7 kcal/mol. These and other data were used to parameterize the well-known empirical force fields AMBER and CHARMm. When the new fields were tested by means of vibrational frequency calculations at the 6-31G*//6-31G* level for methyl sulfate, sulfamate, and methyl sulfamate ground states, the frequencies compared favorably with the AMBER and CHARMm calculated frequencies. The transferability of the force parameters to β-D-glucose-6-sulfate and isopropyl sulfate appears to be better than to isopropyl sulfamate. © 1995 by John Wiley & Sons, Inc.
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  • 119
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    Journal of Computational Chemistry 16 (1995), S. 37-55 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The embedding of a quantum mechanically described subsystem by classical representations of its surroundings is reviewed. The choices for a distributed monopole representation and a distributed (group) polarizability representation, as well as the continuum approach to model bulk effects, are discussed. Focus is on the practical implementation of the classical description in quantum chemistry codes (in particular, HONDO8.1). Expressions are given for the self-consistent coupling between the classical partitions (dipole polarizabilities and boundary surface dipoles and charges) and for the coupling between classical and quantum partitions. The latter is mediated through expanded, rather than exact, potentials and fields. In this way, the computation of only a limited number of formal interactions between unit charge distributions located at the expansion centers suffices to evaluate the reaction field contributions. The electronic part of the coupling can be included in the Hamiltonian via the Fock matrix. The field operators, as well as the one- and two-electron matrix elements over the basis functions, are simple. The expressions for these are given explicitly.Nonequilibrium potentials and Monte Carlo sampling over classical degrees of freedom have been added to better mimic experimental conditions. © 1995 by John Wiley & Sons, Inc.
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  • 120
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    Journal of Computational Chemistry 16 (1995), S. 105-112 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Feynman's path integral formulation of quantum statistical mechanics, which has commonly been applied be Monte Carlo methods, is now also implemented by traditional molecular dynamics simulations of the microcanonical ensemble and in the Nosé-Hoover method simulating the isothermal-isobaric ensemble. In this article these two methods are applied to solid and liquid neon, in which quantum effects are not negligible. The validity of the procedure is shown by comparison with Monte Carlo and Brownian Dynamics computer simulations and with experiment. © 1995 by John Wiley & Sons, Inc.
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  • 121
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    Journal of Computational Chemistry 16 (1995), S. 129-129 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
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  • 122
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    Journal of Computational Chemistry 16 (1995), S. 113-128 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: In this article we describe the coupling of a density functional (DF) Hamiltonian with the molecular mechanics (MM) potential function AMBER. We examine a series of test cases in which we compare the binding energies and geometries of the complexes predicted by this coupled potential with those predicted by other theoretical methods and experiment to establish the relative accuracy of the DF/MM coupled potential. We find that the DF/MM coupled potential performs well in most cases studied and, in general, outperforms the semiempirical/MM approach. The interaction energies and structures obtained using this method appear to be insensitive to the use of nonlocal (NL) corrections to the DF method. The is fortuitous because the NL treatment is significantly more computationally expensive than the local treatment. However, NL corrections may be required to predict accurately the shape of potential energy surfaces that involve bond breaking and formation. The DF/MM method has also been applied to the determination of the solvation free energy for a series of ions using free-energy perturbation methods. The results obtained are good and can be improved by a simple scaling of the Lennard-Jones parameters for the ion in question. © 1995 by John Wiley & Sons, Inc.
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  • 123
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
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  • 124
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    Journal of Computational Chemistry 16 (1995) 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
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  • 125
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    Journal of Computational Chemistry 16 (1995), S. 130-130 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
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  • 126
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    Journal of Computational Chemistry 16 (1995), S. 133-145 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A procedure to represent Hartree-Fock electron densities in atoms [L. Fernandez Pacios, J. Comp. Chem., 14, 410 (1993)] defines ρ(r) as a reduced expansion of exponential functions. These analytically modeled densities (AMDs) are used in this article to develop a simple computational procedure for analyzing different atomic radii scales implemented in the commercial software system MATHEMATICA. The analysis is focused on the physical information associated to a given atomic radius as deduced from calculations depending on ρ(r). The amount of electron charge contained in the sphere of the given radius as well as the distinct contributions to the potential energy integrated up to that radius are obtained within the AMD formulation for main-group atoms H - Kr. The ASCII file needed to run the procedure within MATHEMATICA is also presented. © 1995 by John Wiley & Sons, Inc.
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  • 127
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    Journal of Computational Chemistry 16 (1995), S. 146-153 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Results from ab initio self-consistent field (SCF) calculations with a 3-21G and a double-zeta-plus polarization (DZP) basis set on four low-energy conformations of cyclohexaglycine are reported. In agreement with results from semiempirical and molecular mechanics force field calculations, the lowest-energy conformation found at the DZP level is a conformation forming six C7 turns. However, the energy difference to the β-turn conformers is significantly smaller at the ab initio DZP level than calculated by the other methods. In contrast to the results obtained with some of the other methods, the present ab initio calculations show that both the double-type-I β turn and the double-type-II β-turn conformer of cyclohexaglycine are stable low-energy structures. © 1995 by John Wiley & Sons, Inc.
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  • 128
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    Journal of Computational Chemistry 16 (1995), S. 154-170 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A general methodology for deriving geometry-dependent atomic charges is presented. The main ingredient of the method is a model that describes the molecular dipole moment in terms of geometry-dependent point charges. The parameters of the model are determined from ab initio calculations of molecular dipole moments and their Cartesian derivatives at various molecular geometries. Transferability of the parameters is built into the model by fitting ab initio calculations for various molecules simultaneously. The results show that charge flux along the bonds is a major contributing factor to the geometry dependence of the atomic charges, with additional contributions from fluxes along valence angles and adjacent bonds. Torsion flux is found to be smaller in magnitude than the bond and valence angle fluxes but is not always unimportant. A set of electrostatic parameters is presented for alkanes, aldehydes, ketones, and amides. Transferability of these parameters for a host of molecules is established to within 3 -5% error in the predicted dipole moments. A possible extension of the method to include atomic dipoles is outlined. With the inclusion of such atomic dipoles and with the set of transferable point charges and charge flux parameters, it is demonstrated that molecular electrostatic potentials as well as electrostatic forces on nuclei can be reproduced much better than is possible with other models (such as potential derived charges). © 1995 by John Wiley & Sons, Inc.
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  • 129
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    Journal of Computational Chemistry 16 (1995), S. 200-206 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Electrostatic interactions are among the key factors in determining the structure and function of biomolecules. Simulating such interactions involves solving the Poisson equation and the Poisson-Boltzmann (P-B) equation in the molecular interior and exterior region, respectively. The P-B equation is a nonlinear partial differential equation. The central processing unit (CPU) time for solving the full nonlinear P-B equation has been severalfold greater than the equivalent linear case. Here a simple method is proposed to solve the full nonlinear P-B equation under a linear approach, which has been tested both on a spherical case and on small molecules. Results show that our method converges rapidly even under highly charged cases. With this method, the CPU time for solving the full nonlinear P-B equation is somewhat less than the equivalent linear case in our calculations. © 1995 by John Wiley & Sons, Inc.
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  • 130
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The force field previously obtained for both anomers of glucose has been applied to six disaccharides that are molecules of D-glucopyranosyl residues. These six disaccharides have different types of glycosidic linkages - that is, α, α trehalose dihydrate (1-1), sophorose monohydrate (β, 1-2), laminarabiose (β, 1-3), maltose monohydrate (α, 1-4) and cellobiose (β, 1-4), and gentiobiose (β, 1-6). From a careful analysis of the infrared and Raman spectra and from harmonic dynamics calculations in the crystalline state, the results show the reliability and the transferability of the set of parameters previously obtained for different carbohydrates. Below 1500 cm-1, observed data and the corresponding calculated frequencies agreed within 5 cm-1 for each of the six disaccharides. The vibrational density of states are well reproduced by these calculations for each molecule, particularly for the fingerprint regions. Moreover, as found by other workers who used sophisticated potential energy functions, no additional terms are needed to express the exoanomeric effect. Specific force constants characteristic of each glycosidic linkage have been derived, particularly for the glycosidic angle bending. More interesting are the values of the internal rotation barriers. It is shown that they are of the same size for both sides of the glycosidic linkage: VC1O1 = VO1Cx′ = 3.29 kcal/mol for an alpha residue and 2.64 kcal/mol for a beta unit (x = 1-6 depends on the position of the glycosidic linkages of the considered disaccharide). © 1995 by John Wiley & Sons, Inc.
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  • 131
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    Journal of Computational Chemistry 16 (1995), S. 171-187 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: This article introduces several methods of assessing the extent to which a collection of conformations represents or covers conformational space. It also describes poling: a novel technique for promoting conformational variation that can be applied to any method of conformational analysis that locally minimizes a penalty or energy function. The function being minimized is modified to force similar conformers away from each other. The method is independent of the origin of the initial conformers and of the particular minimization method used. It is found that, with the modification of the penalty function, clustering of the resulting conformers is generally unnecessary because the conformers are forced to be dissimilar. The functional form of the poling function is presented, and the merits are discussed with reference to (1) efficacy at promoting variation and (2) perturbation of the unmodified function. Results will be presented using conformers obtained from distance geometry with and without poling. It will be shown that the addition of poling eliminates much redundancy in conformer generation and improves the coverage of the conformational space. © 1995 by John Wiley & Sons, Inc.
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  • 132
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    Journal of Computational Chemistry 16 (1995), S. 207-225 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Large basis set ab initio calculations at correlated levels, including MP2, single reference, as well as multireference configuration interaction, carried out on the methane potential energy surface, have located and characterized a transition structure for stereomutation (one imaginary frequency). This structure is best described as a pyramidal complex between singlet methylene and a side-on hydrogen molecule with Cs symmetry. At the single reference CI level, it lies 105 kcal/mol above the methane Td-ground state but is stable relative to dissociation into CH2(1A1) and H2 by 13 kcal/mol at 0 K (with harmonic zero point energy (ZPE) corrections for all structures). Dissociation of the transition state into triplet methylene and hydrogen also is endothermic (by 4 kcal/mol), but single bond rupture to give CH3. and H. is 3 kcal/mol exothermic. Thus, it does not appear likely that methane can undergo stereomutation classically beneath the dissociation limit. Confirming earlier conclusions, side-on insertion of 1A1 CH2 into H2 in a perpendicular geometry occurs without activation energy. Planar (D4h) methane (130.5 kcal/mol) has four imaginary frequencies. Two of these are degenerate and lead to equivalent planar C2v structures with one three-center, two-electron bond and two two-electron bonds and two imaginary frequencies. The remaining imaginary frequencies of the D4h form lead to tetrahedral (Td) and pyramidal (C4v) methane. The latter has three negative eigenvalues in the force-constant matrix; one of these leads to the Td global minimum and the other to the Cs (parallel) stereomutation transition structure. Multireference CI calculations with a large atomic natural orbitals basis set produce similar results, with the electronic energy of the Cs stereomutation transition state 0.7 ± 0.5 kcal/mol higher than that of CH3. + H. dissociation products, and a ZPE-corrected energy which is 5 ± 1 kcal/mol higher. Also considered are photochemical pathways for stereomutation and the possible effects of nuclear spin, inversion tunneling, and the parity-violating weak nuclear interaction on the possibility of an experimental detection of stereomutation in methane. © 1995 by John Wiley & Sons, Inc.
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  • 133
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    Journal of Computational Chemistry 16 (1995), S. 226-234 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: We describe the implementation of the mesh-based first-principles density functional code DMol on nCUBE 2 parallel computers. The numerical mesh nature of DMol makes it naturally suited for a massively parallel computational environment. Our parallelization strategy consists of a domain decomposition of mesh points. This evenly distributes mesh points to all available processors and leads to a substantial computational speedup with limited communication overhead and good node balancing. To achieve better performance and circumvent memory storage limitations, the torus wrap method is used to distribute both the Hamiltonian and overlap matrices, and a parallel matrix diagonalization routine is employed to calculate eigenvalues and eigenvectors. Benchmark calculations on a 128-node nCUBE 2 are presented. © 1995 by John Wiley & Sons, Inc.
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  • 134
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    Journal of Computational Chemistry 16 (1995), S. 235-242 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The statistical properties of the bilayer membranes of diparmitoylphosphatidylcholine (DPPC) in the gel and liquid-crystal phases were studied by Monte Carlo (MC) simulation using potential functions of the Lennard-Jones, the simple Coulomb, and the bond torsion. The simulation was undertaken on a two-dimensional periodic condition imposed on the bilayer model consisting of faithfully described molecules. The structure and ordering of the model bilayers accorded well with experiments, and the segment order parameters were in agreement with those of the nuclear magnetic resonance (NMR) experiments. The two kinds of lipid chains of DPPC do not equivalently behave in the bilayers, and chain 2 has lower ordering than chain 1. The order parameters of the first eight segments of chain 2 in the liquid-crystal model are particularly small and are roughly constant. From electron density analysis, it has been observed that the liquid-crystal bilayer has about one excess water molecule per one lipid molecule in comparison with the gel bilayer. The energy difference between the two bilayer models, taking account of the water contribution, is consistent with the latent heat of the phase transition. © 1995 by John Wiley & Sons, Inc.
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  • 135
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    Journal of Computational Chemistry 16 (1995) 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
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  • 136
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    Journal of Computational Chemistry 16 (1995), S. 285-295 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The concept of moment statistics for evaluating conformations of molecules derived from molecular dynamics simulations is presented. A comparison of the rigidity of tetralin with benzene and cyclohexane, the effect of “tooth thickness” in geared systems, the fluctional motion of a linear alkane, and the differences between dynamical motions of hydrogen-bonded systems in gas versus solution phases were studied. The strengths and weaknesses of implementing moment statistics as a tool for data reduction are described. © 1995 by John Wiley & Sons, Inc.
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  • 137
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    Journal of Computational Chemistry 16 (1995), S. 263-272 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Ab initio calculations on the structure of pyrazole have been carried out at different levels of accuracy. At the Hartree-Fock (HF) level, the performance of several basis sets, namely 3-21G, 6-31G, 6-31G**, and 6-311G** was investigated. The influence of electron correlation effects also was studied by carrying out geometry optimizations at the MP2, MP4, and QCISD levels. The performance of a density functional method also was evaluated. We have also investigated the possible influence of the frozen core approximation on the final optimized geometry. Three different statistical analyses were considered in determining which geometry is closest to the experimental microwave geometry - namely Paul Curtin's diagrams, cluster analysis, and multidimensional scaling. From these analyses, we conclude that there is no asymptotic approach to the experimental geometry by increasing the quality of the theoretical model, although, as expected, the more reliable structures are those obtained at the MP2, MP4, and QCISD levels, as well as those obtained by the B3LYP density functional method. We have also found that the values of the rotational constants are a tight criterion to define the quality of a molecular geometry. © 1995 by John Wiley & Sons, Inc.
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  • 138
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    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The double cubic lattice method (DCLM) is an accurate and rapid approach for computing numerically molecular surface areas (such as the solvent accessible or van der Waals surface) and the volume and compactness of molecular assemblies and for generating dot surfaces. The algorithm has no special memory requirements and can be easily implemented. The computation speed is extremely high, making interactive calculation of surfaces, volumes, and dot surfaces for systems of 1000 and more atoms possible on single-processor workstations. The algorithm can be easily parallelized. The DCLM is an algorithmic variant of the approach proposed by Shrake and Rupley (J. Mol. Biol., 79, 351-371, 1973). However, the application of two cubic lattices - one for grouping neighboring atomic centers and the other for grouping neighboring surface dots of an atom - results in a drastic reduction of central processing unit (CPU) time consumption by avoiding redundant distance checks. This is most noticeable for compact conformations. For instance, the calculation of the solvent accessible surface area of the crystal conformation of bovine pancreatic trypsin inhibitor (entry 4PTI of the Brookhaven Protein Data Bank, 362-point sphere for all 454 nonhydrogen atoms) takes less than 1 second (on a single R3000 processor of an SGI 4D/480, about 5 MFLOP). The DCLM does not depend on the spherical point distribution applied. The quality of unit sphere tesselations is discussed. We propose new ways of subdivision based on the icosahedron and dodecahedron, which achieve constantly low ratios of longest to shortest arcs over the whole frequency range. The DCLM is the method of choice, especially for large molecular complexes and high point densities. Its speed has been compared to the fastest techniques known to the authors, and it was found to be superior, especially when also taking into account the small memory requirement and the flexibility of the algorithm. The program text may be obtained on request. © 1995 by John Wiley & Sons, Inc.
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  • 139
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    Journal of Computational Chemistry 16 (1995), S. 243-261 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: We present molecular mechanics calculations on the conformational energies of several 2,2-dimethyl-trans-4,6-disubstituted-1,3-dioxanes. Previous studies by Rychnovsky et al.1 have suggested that the relative conformational energies of chair and twist-boat forms of these 1,3-dioxanes were poorly represented by the molecular mechanical models MM2* and MM3* (MacroModel2 implementations of MM2 and MM3) both when compared to experiment and to high-level quantum mechanical calculations. We have studied these molecules with a molecular mechanical force field which features electrostatic-potential-based atomic charges. This model does an excellent job of reproducing the relative conformational energies of the highest level of theory (MP2/6-31G*) applied to the problem. Furthermore, when empirically corrected using the MP2/6-31G* relative conformational energies of the unsubstituted compound 2,2,4-trimethyl-1,3-dioxane, the absolute energy differences calculated with this new model between the chair and twist-boat conformers for five substituted compounds are within an average of 0.30 kcal/mol of the MP2/6-31G* values. The correlation with experiment is also very good. One can, however, modify the initial molecular mechanical model with a single V1(—O—C—O—C—) torsional potential and do an excellent job in reproducing the absolute conformational energies of the dioxanes as well, with an average error in conformational energies of 0.45 kcal/mol. This same torsional potential was independently developed by comparing ab initio and molecular mechanical energies of the molecule 1,1-dimethoxymethane. Thus, we have succeeded in developing a general molecular mechanical model for 1,3-dioxoalkanes. In addition, we have compared the standard MM2 and MM3 models with MM2* and MM3* (ref. 2) and have found some significant differences in relative conformational energies between MM2 and MM2*. MM2 has an improved correlation with the best ab initio data compared to MM2* but is still significantly worse than that found with lower-level ab initio or AM1 semiempirical quantum mechanics or the new molecular mechanical model presented here. MM3 leads to conformational energies very similar to MM3*. Energy component analysis suggests that the single most important element in reproducing the conformational equilibrium is the electrostatic energy. This fact rationalizes the success of AMBER models, whose fundamental tenet is the accurate representation of quantum mechanically calculated molecular electrostatic effects. © 1995 by John Wiley & Sons, Inc.
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  • 140
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    Journal of Computational Chemistry 16 (1995), S. 311-327 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A modified derivation of the free energy perturbation (FEP) equation leads to a more general interpretation of the procedures for generating the geometry of a perturbed molecule from the reference one in FEP simulations of flexible systems. Using this form of the equation, it is possible to implement a wide variety of procedures which heretofore would have been considered impossible. A new method, generalized alteration of structure and parameters (GASP), has been implemented in the BOSS program and has been found to be more efficient for perturbations of harmonic degrees of freedom than the commonly adopted procedure. Additionally, an extreme example for which the new procedure proves less satisfactory is presented, and a more efficient method which is also derived from the new form of the FEP equation is devised and tested. It is concluded that the key to a convergent FEP method is efficient sampling of low-energy configurations of the perturbed state; the new form of the equation suggests ways of generating such configurations. © 1995 by John Wiley & Sons, Inc.
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  • 141
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    Journal of Computational Chemistry 16 (1995), S. 296-310 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The potential energy hypersurfaces (PES) of several carbohydrate molecules were studied with a new algorithm for conformational searches, CICADA (Channels in Conformational Space Analyzed by Driver Approach) interfaced with the molecular mechanics program MM3(92). The method requires (1) one or a few low-energy conformations as starting points; and (2) designation of the torsion angles important for understanding the conformational behavior of the molecule. The PES is explored by driving separately each selected torsion angle (in both directions) with a concomitant full-geometry optimization at each increment (except for the driven angle). When a minimum has been detected, the molecule is freely optimized, and the minima so detected are then stored if not encountered previously. The new minima serve as starting structures for further explorations. The results from CICADA permit prediction of relative and absolute flexibility and conformational softness for both the entire molecule as well as for individual group rotations and local minima. The carbohydrates analyzed were Me-α-D-glucopyranoside, β-D-GlcNAc(1-2)α-D-Man, and α-D-GalNAc(1-3)[α-L-Fuc(1-2)]Gal-O-Me. All the low-energy conformers along with the transition states and flexibilities features were characterized. CICADA found all minima and low-energy conversion pathways for the disaccharide that were found by a traditional grid search. In contrast to the grid search method, CICADA concentrates mostly on the exploration of the low-energy regions of the PES, thereby saving a significant amount of computational time. The performance of the method opens new routes for exploring conformational space of larger molecules, such as oligosaccharides. © 1995 by John Wiley & Sons, Inc.
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  • 142
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    Journal of Computational Chemistry 16 (1995), S. 365-369 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: In this article we observe that generally symplectic integrators conserve angular momentum exactly, whereas nonsymplectic integrators do not. We show that this observation extends to multiple timesteps and to constrained dynamics. Both of these devices are important for efficient molecular dynamics simulations. © 1995 by John Wiley & Sons, Inc.
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  • 143
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    Journal of Computational Chemistry 16 (1995), S. 328-336 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: An analytic expression for protein atomic displacements in Cartesian coordinate space (CCS) against small changes in dihedral angles is derived. To study time-dependent dynamics of a native protein molecule in CCS from dynamics in the internal coordinate space (ICS), it is necessary to convert small changes of internal coordinate variables to Cartesian coordinate variables. When we are interested in molecular motion, six degrees of freedom for translational and rotational motion of the molecule must be eliminated in this conversion, and this conversion is achieved by requiring the Eckart condition to hold. In this article, only dihedral angles are treated as independent internal variables (i.e., bond angles and bond lengths are fixed), and Cartesian coordinates of atoms are given analytically by a second-order Taylor expansion in terms of small deviations of variable dihedral angles. Coefficients of the first-order terms are collected in the K matrix obtained previously by Noguti and Go (1983) (see ref. 2). Coefficients of the second-order terms, which are for the first time derived here, are associated with the (newly termed) L matrix. The effect of including the resulting quadratic terms is compared against the precise numerical treatment using the Eckart condition. A normal mode analysis (NMA) in the dihedral angle space (DAS) of the protein bovine pancreatic trypsin inhibitor (BPTI) has been performed to calculate shift of mean atomic positions and mean square fluctuations around the mean positions. The analysis shows that the second-order terms involving the L matrix have significant contributions to atomic fluctuations at room temperature. This indicates that NMA in CCS involves significant errors when applied for such large molecules as proteins. These errors can be avoided by carrying out NMA in DAS and by considering terms up to second order in the conversion of atomic motion from DAS to CCS. © 1995 by John Wiley & Sons, Inc.
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    Journal of Computational Chemistry 16 (1995), S. 370-377 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: We present an efficient technique for Monte Carlo simulation of electrostatic free energy changes in biomolecular systems. It is a development of a recent method for the study of the influence of electrostatic interactions on the ion binding properties and redox potentials of biomolecules. The electrolyte solution is described by the primitive model, in which ions are treated as hard charged spheres and the solvent is replaced by a structureless continuum. The protein is kept fixed in the center of a spherical simulation cell, and the dielectric constant has the solvent value throughout the cell. By a multiparticle perturbation approach, it is possible to obtain a number of free energy changes within one simulation only. The usefulness of the method is illustrated with a study of the copper binding electron-transport protein azurin (from Alcaligenes denitrificans). The change in acidity of the histidine residues upon changing the redox state of the copper ion is calculated. The theoretical predictions agree well with available experiments. © 1995 by John Wiley & Sons, Inc.
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  • 145
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    Journal of Computational Chemistry 16 (1995) 
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    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
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    Journal of Computational Chemistry 16 (1995), S. 337-364 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: We present a robust and efficient numerical method for solution of the nonlinear Poisson-Boltzmann equation arising in molecular biophysics. The equation is discretized with the box method, and solution of the discrete equations is accomplished with a global inexact-Newton method, combined with linear multilevel techniques we have described in an article appearing previously in this journal. A detailed analysis of the resulting method is presented, with comparisons to other methods that have been proposed in the literature, including the classical nonlinear multigrid method, the nonlinear conjugate gradient method, and nonlinear relaxation methods such as successive overrelaxation. Both theoretical and numerical evidence suggests that this method will converge in the case of molecules for which many of the existing methods will not. In addition, for problems which the other methods are able to solve, numerical experiments show that the new method is substantially more efficient, and the superiority of this method grows with the problem size. The method is easy to implement once a linear multilevel solver is available and can also easily be used in conjunction with linear methods other than multigrid. © 1995 by John Wiley & Sons, Inc.
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  • 147
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    Journal of Computational Chemistry 16 (1995), S. 385-394 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A simple and efficient procedure of calculating molecular volume (VM) based on the Monte Carlo method is presented. The volume of a molecule is defined by the volume occupied by the 0.001-au electron density envelope. We have employed this method to compute the molecular volumes (VM) of a large selection of organic molecules and compare them with the corresponding molar volumes (Vm) measured in the liquid state. A strong correlation is found to exist between the VM and Vm values (VM/Vm ≈ 0.75). Using this linear relationship, the calculated molecular volume may provide an estimate of the cavity-volume parameter in solvent-effect calculations. As a chemical application of molecular volume, we have investigated the conformational equilibrium of 1,2-difluoroethane in the liquid state using the self-consistent reaction field theory. © 1995 by John Wiley & Sons, Inc.
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  • 148
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    Journal of Computational Chemistry 16 (1995), S. 445-448 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: An approach using the finite difference solution of the Poisson-Boltzmann equation to estimate binding free energy changes for two receptor-ligand systems, arabinose binding protein and sulfate binding protein, is presented. The eight calculated binding free energy changes agree with experiment, showing a correlation coefficient of 0.92 and energy deviations of 1 kcal/mol or less. More importantly, the decomposition of solvation and assembly energies in this approach provides an understanding of binding mechanisms and therefore could suggest directions to alter binding affinities. The method is demonstrated to be useful in analyzing experimental binding structures and predicting binding effects of mutants or modified ligands for macromolecular systems, in which the electrostatic forces dominate the overall interaction and the structural perturbations upon modifications are small. © 1995 by John Wiley & Sons, Inc.
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  • 149
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    Journal of Computational Chemistry 16 (1995), S. 449-453 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: We used the comparative molecular field analysis (CoMFA) method to correlate the rate constant (log k) for the SN2 reaction of benzyl benzenesulfonates and p-methoxybenzylamines. Molecular fields calculated with a C+ probe produced a good correlation with a small standard deviation and a high correlation coefficient with cross validation. This study demonstrated that CoMFA is an excellent method in predicting the physicochemical properties of the molecule such as LUMO energy and rate constants. © 1995 by John Wiley & Sons, Inc.
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  • 150
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    Journal of Computational Chemistry 16 (1995), S. 454-464 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: We present a computational method for prediction of the conformation of a ligand when bound to a macromolecular receptor. The method is intended for use in systems in which the approximate location of the binding site is known and no large-scale rearrangements of the receptor are expected upon formation of the complex. The ligand is initially placed in the vicinity of the binding site and the atomic motions of the ligand and binding site are explicitly simulated, with solvent represented by an implicit solvation model and using a grid representation for the bulk of the receptor protein. These two approximations make the method computationally efficient and yet maintain accuracy close to that of an all-atom calculation. For the benzamidine/trypsin system, we ran 100 independent simulations, in many of which the ligand settled into the low-energy conformation observed in the crystal structure of the complex. The energy of these conformations was lower than and well-separated from that of others sampled. Extensions of this method are also discussed. © 1995 by John Wiley & Sons, Inc.
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  • 151
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    Journal of Computational Chemistry 16 (1995), S. 705-714 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Two exquisite models of the acyl-chymotrypsin intermediate, one designed by Bruice and another by Bender, were studied to elucidate the role of the carboxylate ion in the catalytic triad of serine proteases. However, opposing conclusions were drawn from these studies. Computational chemistry analysis of these models indicates that the carboxylate ion plays an insignificant role in the former model because of the correct orientation and the distance of the imidazole group without the carboxylate ion. However, in the latter model, the carboxylate ion serves to orient and place the imidazole group at the correct position. This analysis suggests that an important role of the carboxylate ion in serine proteases is to position the imidazole group to be an effective general base catalyst. © 1995 by John Wiley & Sons, Inc.
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  • 152
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    Journal of Computational Chemistry 16 (1995), S. 729-742 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A Genetic Algorithm for Geometry Optimizations (GALGO) program has been developed to study the efficiency of this method of finding global minimum structures. Using a semiempirical tight-binding potential, the behavior of different genetic algorithm (GA) operators has been tested for the linear chain isomer of a C8 cluster. An optimum set of parameters for the GA operators is proposed for this problem and afterward is used to obtain the global minimum structure of rare-gas atomic clusters of up to 13 atoms using the 12-6 Lennard-Jones interatomic pair potential. © 1995 by John Wiley & Sons, Inc.
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  • 153
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    Journal of Computational Chemistry 16 (1995), S. 758-767 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A general perspective is presented of bimolecular positive ions formed from two rare gases that share a positive charge. These species, which are important in ionospheric processes, arise when neutral van der Waals species are ionized. A general theoretical program based on standard theoretical techniques (e.g., various configuration interaction and Møller-Plesset techniques and quadratic configuration interaction) is outlined, and results for the geometry, stability, and vibrational frequencies for a set of rare gas dimers, AB+, are presented. Specifically, the molecules HeHe+, HeNe+, HeAr+, NeNe+, NeAr+, and ArAr+ are considered; the equilibrium geometry of the ground electronic state is determined at several levels of approximation. Then binding energies are calculated in several ways, and these binding energies are compared to experimental and other sophisticated theoretical results. In general, the agreement with experiment is good, within a few kcal/mol. Harmonic vibrational frequencies at the MP2 level are also computed. © 1995 by John Wiley & Sons, Inc.
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  • 154
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    Journal of Computational Chemistry 16 (1995), S. 743-757 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: We address the problem of marking points on a grid lattice of arbitrary size and spacing as either accessible or inaccessible to a solvent-sized spherical probe. It is shown that an analytical description of the solvent-accessible volume suitable for rapidly testing a large number of lattice points can be constructed from relatively simple geometric elements. By first constructing these basic analytical elements and storing them in suitable data structures, any number of subsequent lattice markings can be carried out. This approach leads to increased computational efficiency whenever a multiple calculation using different lattice sizes and scales is necessary on the same molecular geometry. We also present an algorithm for determining the analytical volume elements. Some aspects of this algorithm, particularly the method for finding all sterically allowed probe positions in which the probe simultaneously contacts three atoms, may also be useful for improving the speed and reliability of analytical surface area calculations. An object-oriented implementation of these algorithms written in C + + is freely available via Internet. © 1995 by John Wiley & Sons, Inc.
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  • 155
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    Journal of Computational Chemistry 16 (1995), S. 768-776 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The theoretical framework developed and tested in our previous study of weakly bound systems is applied to a sequence of bimolecular cations: (NeX)+ and (ArX)+, where X = HF, H2O, and HCl. The equilibrium structure, binding energies, and vibrational frequencies for this sequence of bimolecular cations are computed using several post-Hartree-Fock methods and triple zeta basis sets. In all cases, the absolute minima in the potential energy surface involves a hydrogen bond. The existence and stability of the aforementioned systems are established with binding energies ranging from 0.1 eV to 1.0 eV. The stability for the systems is explained in terms of the possible dissociative channels and changes in the electron density of the constituent monomers. © 1995 by John Wiley & Sons, Inc.
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  • 156
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    Journal of Computational Chemistry 16 (1995) 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
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  • 157
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    Journal of Computational Chemistry 16 (1995), S. 777-789 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: We compare the electrostatic potential surrounding several natural and synthetic nucleic acid bases calculated using an atom-centered multiple expansion (ACME) derived from integration of the charge distribution with that from potential-derived charges (PDCs) obtained using the CHELPG procedure. When the multipole expansions are carried out to octapoles, the root mean square (rms) error in the potential is always less than that from PDCs. Electrostatic interactions in pairs of these nucleic acid bases were also evaluated using ACMEs up to octapoles and PDCs. The electrostatic interaction energies from ACMEs were found always to be larger than those from PDCs or the total self-consistent field (SCF) interaction energy. The value of the electrostatic energy differs by as much as approximately 19 or as little as approximately 8 kJ/mol between the ACME and PDC methods. The rank ordering provided by the electrostatic models is grossly similar but differs in the ranking of systems with two and three hydrogen bonds. A rigid twist about the N—H ⃛ N axis of the pairs was examined using SCF calculations and the electrostatic models. It was found that with ACMEs the energy required for a 90-degree rotation was always higher than that found from SCF calculations. With PDCs, similar results are obtained, except with the adenine/thymine and 9-methyl-adenine/1-methyl-thymine pairs. In these instances, the barrier is about 4 kJ/mol lower than that found with SCF calculations. These results demonstrate that integration of the charge density can provide convergent multipole expansions that provide a more accurate description of the electrostatic potential than the commonly used PDC model. In addition, the description of electrostatic interactions during twisting of AT and mAmT given by this model is shown to be somewhat anomalous. © 1995 by John Wiley & Sons, Inc.
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  • 158
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    Journal of Computational Chemistry 16 (1995), S. 856-882 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Detailed investigations are performed of the binding energetics of Zn2+ to a series of neutral and anionic ligands making up the sidechains of amino acid residues of proteins, as well as ligands which can be involved in Zn2+ binding during enzymatic activation: imidazole, formamide, methanethiol, methanethiolate, methoxy, and hydroxy. The computations are performed using the SIBFA molecular mechanics procedure (SMM), which expresses the interaction energy under the form of four separate contributions related to the corresponding ab initio supermolecular ones: electrostatic, short-range repulsion, polarization, and charge transfer. Recent refinements to this procedure are first exposed. To test the reliability of this procedure in large-scale simulations of inhibitor binding to metalloenzyme cavities, we undertake systematic comparisons of the SMM results with those of recent large basis set ab initio self-consistent field (SCF) supermolecule computations, in which a decomposition of the total ΔE into its four corresponding components is done (N. Gresh, W. Stevens, and M. Krauss, J. Comp. Chem., 16, 843, 1995). For each complex, the evolution of each individual SMM energy component as a function of radial and in- and out-of-plane angular variations of the Zn2+ position reproduces with good accuracy the behavior of the corresponding SCF term. Computations performed subsequently on di- and oligoligated complexes of Zn2+ show that the SIBFA molecular mechanics (SMM) functionals, Epol and Ect, closely account for the nonadditive behaviors of the corresponding second-order energy contributions determined from the ab initio SCF calculations on these complexes and their nonlinear dependence on the number of ligands. Thus, the total intermolecular interaction energies computed with this procedure reproduce, with good accuracy, the corresponding SCF ones without the need for additional, extraneous terms in the intermolecular potential of polyligated complexes of divalent cations. © 1995 by John Wiley & Sons, Inc.
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  • 159
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    Journal of Computational Chemistry 16 (1995) 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
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  • 160
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    Journal of Computational Chemistry 16 (1995), S. 414-421 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A fuzzy c-means clustering algorithm is presented which is much faster than the traditional algorithm for data sets in which the number of features is significantly larger than the number of feature vectors. The algorithm is constructed by utilizing the covariance structure of feature vectors and cluster centers. By using results from a previous clustering, modified versions of the new algorithm achieve additional reductions in floating point operations. © 1995 by John Wiley & Sons, Inc.
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  • 161
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    Journal of Computational Chemistry 16 (1995), S. 405-413 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The mechanism of the photoreaction of tetramethylene sulfone (TMSO2) was investigated by the semiempirical molecular orbital (MO) method SINDO1. The relevant low-lying potential energy surfaces, which were calculated with limited configuration interaction (CI), were studied by optimizing intermediates and transition structures and by introducing linear interpolations between these stationary points. The main initial reaction step for all important products is an α cleavage of one C—S bond. This leads to an intermediate that can be classified as an excited singlet diradical. Its electronic structure is described with a two-electron, three-orbital model. Starting from this initially generated intermediate, the reaction branches into several pathways leading to various products. Feasible reaction pathways were established for all important products consistent with experiments. © 1995 by John Wiley & Sons, Inc.
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  • 162
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    Journal of Computational Chemistry 16 (1995), S. 422-440 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: We present improved algorithms for the SMx (x = 1, 1a, 2, 3) solvation models presented previously [see the overview in C. J. Cramer and D. G. Truhlar, J. Comp.-Aided Mol. Design, 6, 629 (1992)]. These models estimate the free energy of solvation by augmenting a semiempirical Hartree-Fock calculation on the solute with the generalized Born (GB) model for electric polarization of the solvent and a surface tension term based on solvent-accessible surface area. This article presents three improvements in the algorithms used to carry out such calculations, namely (1) an analytical accessible surface area algorithm, (2) a more efficient radial integration scheme for the dielectric screening computation in the GB model, and (3) a damping algorithm for updating the GB contribution to the Fock update during the iterations to achieve a self-consistent field. Improvements (1) and (2) decrease the computer time, and improvement (3) leads to more stable convergence. Improvement (2) removes a small systematic numerical error that was explicitly absorbed into the parameterization in the SMx models. Therefore, we have adjusted the parameters for one of the previous models to yield essentially identical performance as was obtained originally while simultaneously taking advantage of improvement (2). The resulting model is called SM2.1. The fact that we obtain similar results after removing the systematic quadrature bias attests to the robustness of the original parameterization. © 1995 by John Wiley & Sons, Inc.
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  • 163
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    Journal of Computational Chemistry 16 (1995), S. 441-444 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A direct inversion procedure is used to obtain the pair interaction potentials for He and Ne from the extended law of corresponding states over the temperature range from absolute zero to the onset of ionization. We have used the experimentally reduced viscosity collision integrals obtained from the corresponding states correlation and performed an INVERT to determine the reduced potential energy curve corresponding to the collision integral. This directly determined potential is in excellent agreement with the potential independently obtained from molecular beam scattering measurements. © 1995 by John Wiley & Sons, Inc.
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  • 164
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    Journal of Computational Chemistry 16 (1995), S. 610-619 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The EFF'93 force field is used to study crystalline alkanes. In addition to detailed molecular geometries, the sublimation enthalpy, heat capacity, and lattice vibrations for a number of saturated hydrocarbons are reported and compared with experiment. © 1995 by John Wiley & Sons, Inc.
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  • 165
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    Journal of Computational Chemistry 16 (1995), S. 595-609 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A new empirical force field for saturated hydrocarbons is presented. It is applicable to gaseous and crystalline alkanes that do not contain four- or three-membered rings. The force field allows the calculation of structural, thermodynamic, and vibrational properties of both simple and highly strained molecules to an accuracy comparable to experiment. Vibrational frequencies are improved considerably as compared to MM3. © 1995 by John Wiley & Sons, Inc.
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  • 166
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    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The conformational preferences of oxymethylpyridines have been investigated by ab initio calculations and compared to similar calculations for oxymethylbenzene. The C—O bond in the pyridine compounds was found to prefer eclipsing with a C—C bond in the ring, in agreement with previous observations but in disaccord with tentative MM2 calculations. The effect was most pronounced in the 2-substituted pyridine. The benzene compound, on the other hand, showed good agreement between the energies from MM2, MM3, and ab initio calculations. The conformational preferences are discussed in terms of stereoelectronic interactions. New MM2 and MM3 parameters were determined from ab initio calculations on nonstationary points on the energy hypersurface. The parameterization method is discussed. © 1995 by John Wiley & Sons, Inc.
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  • 167
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    Journal of Computational Chemistry 16 (1995), S. 628-647 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: We describe a method for minimizing the lattice energy of molecular crystal structures, using a realistic anisotropic atom-atom model for the intermolecular forces. Molecules are assumed to be rigid, and the structure is described by the center of mass positions and orientational parameters for each molecule in the unit cell, as well as external strain parameters used to optimize the cell geometry. The resulting program uses a distributed multipole description of the electrostatic forces, which consists of sets of atomic multipoles (charge, dipole, quadrupole, etc.) to represent the lone pair, π electron density, and other nonspherical features in the atomic charge distribution. Such ab initio based, electrostatic models are essential for describing the orientation dependence of the intermolecular forces, including hydrogen bonding, between polar molecules. Studies on a range of organic crystals containing hydrogen bonds are used to illustrate the use of this new crystal structure relaxation program, DMAREL, and show that it provides a promising new approach to studying the crystal packing of polar molecules. © 1995 by John Wiley & Sons, Inc.
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  • 168
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    Journal of Computational Chemistry 16 (1995), S. 654-658 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A general procedure is presented for computing the gas phase heats of formation of a wide variety of organic compounds. ΔE for the formation of the molecule from its elements at 0 K is obtained from density functional calculations (Gaussian 92/DFT) for optimized geometries. This result is converted to ΔH at 298 K by assuming ideal behavior and adding the translational, rotational, and vibrational energies. Additive correction terms corresponding to the various coordination states of the carbons, nitrogens, and oxygens were developed using a database of 54 compounds. The experimental ΔHƒo values of these compounds are then reproduced with an average absolute error of 3 kcal/mol and a standard deviation of 4 kcal/mol. For a group of 10 test cases that were not part of the database, the average absolute error is 3.5 kcal/mol and the standard deviation is 4.1 kcal/mol. © 1995 by John Wiley & Sons, Inc.
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  • 169
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    Journal of Computational Chemistry 16 (1995), S. 791-816 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The (φ, ψ) energy surface of blocked alanine (N-acetyl-N′-methyl alanineamide) was calculated at the Hartree-Fock (HF)/6-31G* level using ab initio molecular orbital theory. A collection of six electrostatic models was constructed, and the term electrostatic model was used to refer to (1) a set of atomic charge densities, each unable to deform with conformation; and (2) a rule for estimating the electrostatic interaction energy between a pair of atomic charge densities. In addition to two partial charge and three multipole electrostatic models, this collection includes one extremely detailed model, which we refer to as nonspherical CPK. For each of these six electrostatic models, parameters - in the form of partial charges, atomic multipoles, or generalized atomic densities - were calculated from the HF/6-31G* wave functions whose energies define the ab initio energy surface. This calculation of parameters was complicated by a problem that was found to originate from the locking in of a set of atomic charge densities, each of which contains a small polarization-induced deformation from its idealized unpolarized state. It was observed that the collective contribution of these small polarization-induced deformations to electrostatic energy differences between conformations can become large relative to ab initio energy differences between conformations. For each of the six electrostatic models, this contribution was reduced by an averaging of atomic charge densities (or electrostatic energy surfaces) over a large collection of conformations. The ab initio energy surface was used as a target with respect to which relative accuracies were determined for the six electrostatic models. A collection of 42 more complete molecular mechanics models was created by combining each of our six electrostatic models with a collection of seven models of repulsion + dispersion + intrinsic torsional energy, chosen to provide a representative sample of functional forms and parameter sets. A measure of distance was defined between model and ab initio energy surfaces; and distances were calculated for each of our 42 molecular mechanics models. For most of our 12 standard molecular mechanics models, the average error between model and ab initio energy surfaces is greater than 1.5 kcal/mol. This error is decreased by (1) careful treatment of the nonspherical nature of atomic charge densities, and (2) accurate representation of electrostatic interaction energies of types 1 - 2 and 1 - 3. This result suggests an electrostatic origin for at least part of the error between standard model and ab initio energy surfaces. Given the range of functional forms that is used by the current generation of protein potential functions, these errors cannot be corrected by compensating for errors in other energy components. © 1995 by John Wiley & Sons, Inc.
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  • 170
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    Journal of Computational Chemistry 16 (1995), S. 843-855 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Detailed investigation of the binding energetics of Zn2+ to biologically relevant model ligands has been performed by large basis set restricted Hartree-Fock computations. This list includes neutral and anionic ligands that model the sidechains of the amino acid residues of proteins as well as those involved in binding to the metal during enzymatic activation: water, formaldehyde, formamide, imadazole, methylthiol, and the formate, hydroxyl, methoxy, methylthiolate anions. The decomposition of the intermolecular interaction energy into its components (Coulomb, exchange, polarization, and charge transfer) has been done within the frozen fragment reduced variational space procedure (RVS) developed by Stevens and Fink [W. J. Stevens and W. H. Fink, Chem. Phys. Lett., 139, 15 (1987)]. The use of the RVS procedure was dictated by the very large magnitudes of the second-order interaction energy terms in the divalent cation complexes and the need to obtain polarization and charge-transfer contributions in a variational sense. The behavior of the interaction energy with radial and angular variation of the approach of the metal to the ligand is explored. In addition, the nonadditive behavior of polyligated complexes is studied for water and formate. This will also provide the data for a subsequent fit to a molecular mechanics procedure that considers the second-order interactions. © 1995 by John Wiley & Sons, Inc.
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  • 171
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    Journal of Computational Chemistry 16 (1995), S. 378-384 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A reaction field theory, combined with the MNDO, AM1, and PM3 molecular orbital methods, was applied to hydration phenomena of metal cationic species. The first hydration shell was treated explicitly by using a supermolecular model, [M(H2O)n]m+, and its surrounding medium was described with a continuum dielectric. Hydration free energies were evaluated as a sum of the contributions from the electrostatic interaction with the bulk medium, the hydrated cluster formation, the cavity formation, and the vaporization of water molecules forming the cluster. As a whole, calculated hydration energies were in good agreement with the corresponding experimental data over various kinds of metal cationic species. © 1995 by John Wiley & Sons, Inc.
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  • 172
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    Journal of Computational Chemistry 16 (1995), S. 465-477 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The structures and relative stabilities of a series of disulfide (XSSX) and thiosulfoxide (X2SS) isomers have been studied for X = F, Cl, CH3, and H, using various levels of conventional ab initio and density functional theory (DFT). The XSSX isomers are more stable than the X2SS isomers for all substituents. The energy gap ΔE(X) between the two isomers increases (i.e., XSSX becomes more stable with respect to X2SS), and the S—S bond contracts in the series for X = F, Cl, CH3, H. The results are interpreted by means of natural population analysis (NPA) (e.g., the interaction between the disulfide moiety S2· and the two substituents X·). The bonding in the hypervalent X2SS species is similar to the bonding in the nonhypervalent XSSX and does not involve a special role for sulfur-3d orbitals. These orbitals acquire only minimal populations and are not to be conceived as valence orbitals. The DFT and conventional ab initio results, Xα/DZP and MP2/6-31G** optimized structures and isomerization energies (at the highest levels of both methods), agree well. © 1995 by John Wiley & Sons, Inc.
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  • 173
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    Journal of Computational Chemistry 16 (1995), S. 478-485 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The three-dimensional structure of the carboxyl-terminal region of the human ras oncogenic protein (called p21) has been determined using the HDMC (High-directional Monte Carlo) method combined with MD (molecular dynamics) simulation. A truncated p21 containing residues 1-171 without the carboxyl-terminal end was analyzed using X-ray crystallography by Kim et al. It has been well documented that the carboxyl-terminal region of p21 is flexible and plays an important role in transmitting a signal from the membrane-attached domain. We have carried out the theoretical calculation for 18 undefined residues, which correspond to residues 172-189 of intact p21, in addition to seven residues (165-171) from X-ray coordinates of the C-terminal end of human C—Ha—ras protein. In this calculation, the main-chain atoms of residues 165-169 have been fitted to X-ray structure, and the remaining region has been allowed to move during the conformational analysis. We have confirmed that revised HDMC can easily alter the local minima of the polypeptide chains as the internal vibrations of molecules are allowed by MD simulation. Throughout this study, we suggest that the C-terminal end of human C—Ha—ras p21 protein has structures in the forms of an α helix for 165-172, a loop for 173-180, and an α helix for 181-187 regions, like the helical hairpin. © 1995 by John Wiley & Sons, Inc.
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  • 174
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    Journal of Computational Chemistry 16 (1995), S. 486-500 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: In the search for new drugs, it often occurs that the binding affinities of several compounds to a common receptor macromolecule are known experimentally, but the structure of the receptor is not known. This article describes an extraordinarily objective computer algorithm for deducing the important geometric and energetic features of the common binding site, starting only from the chemical structures of the ligands and their observed binding. The user does not have to propose a pharmacophore, guess the bioactive conformations of the ligands, or suggest ways to superimpose the active compounds. The method takes into account conformational flexibility of the ligands, stereospecific binding, diverse or unrelated chemical structures, inaccurate or qualitative binding data, and the possibility that chemically similar ligands may or may not bind to the receptor in similar orientations. The resulting model can be viewed graphically and interpreted in terms of one or more binding regions of the receptor, each preferring to be occupied by various sorts of chemical groups. The model always fits the given data completely and can predict the binding of any other ligand, regardless of chemical structure. The method is an outgrowth of distance geometry and Voronoi polyhedra site modeling but incorporates several novel features. The geometry of the ligand molecules and the site is described in terms of intervals of internal distances. Determining the site model consists of reducing the uncertainty in the interregion distance intervals, and this uncertainty is described as intervals of intervals. Similarly, the given binding affinities and their experimental uncertainties are treated as intervals in the affinity scale. The final site model specifies an entire region of interaction energy parameters that satisfy the training set rather than a single set of parameters. Predicted binding for test compounds results in an interval which, when compared to the experimental interval, may be correct, incorrect, or vague. There is a pervasive ternary logic involved in the assessment of predictions, in the search for a satisfactory model, and in judging whether a given molecule may bind in a particular orientation: true, false, or maybe. The approach is illustrated on an extremely simple artificial example and on a real data set of cocaine analogues binding to a nerve membrane receptor in vitro. © 1995 by John Wiley & Sons, Inc.
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  • 175
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    Journal of Computational Chemistry 16 (1995), S. 512-516 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: An improved version of the “marching-cube” method1 is proposed for molecular surface triangulation. This new algorithm involves fewer and simpler basic building blocks and avoids the artificial gaps of the original one. Moreover, to make it applicable to the boundary element method, the procedures for the protein cavity identification and triangle reduction are also presented. The triangulation procedure was tested by incorporating it into the boundary element method (BEM) to estimate the pKa values of subtilisin BPN′ and bovine trypsin inhibitor (BPTI). © 1995 by John Wiley & Sons, Inc.
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  • 176
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    Journal of Computational Chemistry 16 (1995), S. 501-511 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The thermodynamic, dielectric, and dynamic properties of a newly parameterized flexible water model are studied using molecular dynamics simulations. The potential function developed is based on the popular simple point charge (SPC) rigid model with the addition of appropriate harmonic and anharmonic energy terms for stretching and bending. Care was taken to account for the self-polarization and gas-phase monomer energy corrections during the parameterization, which have typically been ignored in past studies. The results indicate that an increased Lennard-Jones repulsive coefficient and slightly scaled partial charges are required when adding flexibility to the rigid model potential to reliably reproduce the experimental density, energy, and O ⃛ O radial distribution function of water at 298 K and 1 atm. Analysis of the power spectrum derived from the H-velocity autocorrelation function allowed the water potential to be evaluated further and refined by adjusting the valence forces to fit the vibrational frequencies of the gas and liquid. Once a consistent set of parameters was determined, the static dielectric properties of the water model were calculated at two temperatures using the reaction field method to treat long-range forces and correlations. The dielectric constant of 75 ± 7 calculated at 300 K is in good agreement with the experimental value of 78.5. The Kirkwood g factor was also examined for temperature dependence and showed the correct increasing behavior with decreasing T. As a final check of the water potential, the free energies of solvation of a flexible water molecule and neon were predicted using thermodynamic perturbation methods. The calculated solvation energies of -7.0 ± 0.8 for water and 2.7 ± 0.7 for neon are both consistent with the experimental values of -6.3 and 2.7 kcal/mol. Comparisons are made throughout the study with the results of previous rigid and flexible model simulations. © 1995 by John Wiley & Sons, Inc.
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  • 177
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    Journal of Computational Chemistry 16 (1995), S. 517-526 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: We consider rigorous evaluation of conjugated-circuit resonance energies for families of structurally related benzenoid hydrocarbons of increasing size. Local and global aromatic properties of such molecules are investigated with particular interest in modeling high polymers. Using the algebra of large numbers, exact formulas for contributions from individual benzene rings of polymers with up to 25,000 repeating units (close to half a million carbon atoms) were derived. All arithmetic procedures were carried out in terms of whole numbers retaining all digits, of which there were sometimes more than 105. © 1995 by John Wiley & Sons, Inc.
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  • 178
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    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 179
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    Journal of Computational Chemistry 16 (1995), S. 527-533 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Simple expressions for the forces due to dihedral-angle interactions are derived using first principles of mechanics. The expressions require significantly fewer numerical operations than those generally used in the literature and provide insight into the physics of dihedral-angle interactions. It is also shown that the scalar virial due to angle-dependent interactions is zero. © 1995 by John Wiley & Sons, Inc.
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  • 180
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    Journal of Computational Chemistry 16 (1995), S. 586-594 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: It is shown that with the use of published one-center INDO parameters for transition metals M, it is not possible to reproduce experimental relative energies of the electronic states of M, M+, and M2+ accurately enough. Two new sets of INDO parameters for the elements of the I and II transition rows are developed. These parameters are obtained by the method which ensures that the calculated energy differences between atomic electron states are in agreement with the experimental data. The results of some molecular test calculations are presented. © 1995 by John Wiley & Sons, Inc.
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  • 181
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    Journal of Computational Chemistry 16 (1995), S. 648-653 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The use of computer simulations in all areas of chemistry is growing rapidly because of the powerful insights that they have provided into many interesting phenomena. As investigators continuously examine more sophisticated problems, they need increasingly more powerful tools. Hence, much effort has gone into the development of algorithms which might extend the scope and power of standard dynamic and Monte Carlo techniques. In the Monte Carlo regime, the most common area subject to improvement is the choice of a trial move. In the ordinary case, trial moves are generated uniformly at random. In the extended and hopefully improved case, trial moves are generated randomly but not uniformly. In this article we present a new and totally general method of biased sampling which is applicable to any flexible molecule. In our method, multiple simulated annealing runs are performed to reveal populated and unpopulated regions of the multidimensional conformation space. The second phase of the simulation is done at a fixed temperature with sampling only from populated regions found in the first phase. Because the simulated annealing runs quickly reveal unpopulated regions of the conformation space, the volume of conformation space that needs to be sampled in the second phase of the algorithm is reduced by many orders of magnitude. Additionally, because no energy minimization is used, these populations represent a canonical ensemble which may be used to estimate conformational free energies. © 1995 by John Wiley & Sons, Inc.
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  • 182
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    Journal of Computational Chemistry 16 (1995) 
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    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 183
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    Journal of Computational Chemistry 16 (1995), S. 659-666 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Ab initio MP2/6-31G** calculations render the same mechanism for the gas-phase addition of HF and HCl to ethylene in contrast with previous HF/3-21G calculations. The leading interaction is in both cases the electrophilic attachment of the hydrogen atom in the hydrogen halide to a carbon atom in ethylene. The presence of a second molecule of hydrogen halide causes a catalytic effect by allowing an alternative mechanism for electron density rearrangement through ethylene polarization. © 1995 by John Wiley & Sons, Inc.
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  • 184
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    Journal of Computational Chemistry 16 (1995), S. 667-680 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Internal coordinates can be very helpful in modeling large biomacromolecules because freezing stiffer degrees of freedom, such as bond lengths, strongly reduces the number of variables describing the system. This, however, leads to difficulties in treating flexible rings such as the furanose sugars of nucleic acids or the proline residues of proteins, for which internal coordinates are an overcomplete description. We present here a new, internal coordinate furanose model based on the pseudorotational variables phase and amplitude which avoids having to solve a ring closure problem. The choice of a two- rather than a four-variable description is justified by a detailed analysis of molecular dynamic simulations. The efficiency and accuracy of the method are also demonstrated using extensive Monte Carlo simulations. This method of ring treatment is fast and well adapted to macromolecular simulations. © 1995 by John Wiley & Sons, Inc.
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  • 185
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    Journal of Computational Chemistry 16 (1995), S. 681-689 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A simple yet accurate method for calculating electrostatic potentials using the boundary element continuum dielectric method is presented. It is shown that the limiting factor in accuracy is not the evaluation of integrals involving the interaction between boundary elements but rather a proper estimation of the self-polarization of a patch upon itself. We derive a sum rule that allows us to calculate this important self-polarization term in a self-consistent and simple way. Intricate integration schemes used in previous treatments are consequently rendered unnecessary while concurrently achieving at least comparable accuracy over earlier methods. In some model systems for which analytic solutions are available, the computed surface polarization charge and reaction field energy are correct to better than six significant figures. An application of the method to the calculation of hydration free energies is presented. Good agreement with experimental values is obtained.
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  • 186
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    Journal of Computational Chemistry 16 (1995), S. 690-704 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A potential energy function is developed to represent the interaction of small monovalent cations, Li+, Na+, and K+, with the backbone of polypeptides. The results are based on ab initio calculations up to the 6-31G* level of the interactions of the ions with acetamide and N-methylacetamide. Basis set superposition errors are corrected with the counterpoise method. A systematic overestimate of the bond polarities is taken into account by an empirical scaling procedure that uses the ratio of the experimental to ab initio dipole moment. The calculated binding energies obtained with this procedure show consistent convergence with different basis sets and are in good agreement with experimental data on cation-water and cation-dimethylformamide systems. Investigations of the calculated ab initio potential energy surface indicate that the cation-peptide interaction is dominated by electrostatics and includes a nonnegligible contribution from polarization of the peptide group by the ion. The induced polarization results in a steeper-than-Coulombic interaction and cannot be described by fixed ion-peptide partial charges electrostatics. Atomic polarizabilities located on the atoms of the ligand molecule are introduced to account for the induced polarization in the empirical energy function. A ∼1/r4 attractive interaction appears in the potential function. The resulting radial and angular dependence of the potential energy surface is well reproduced. © 1995 by John Wiley & Sons, Inc.
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  • 187
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    Journal of Computational Chemistry 16 (1995), S. 715-722 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Algorithms to enhance parallel performance of molecular dynamics simulations on parallel computers by dynamic load balancing are described. Load balancing is achieved by redistribution of work based on either a history of time spent computing per processor or on the number of pair interactions computed per processor. The two algorithms we detail are designed to yield optimal load balancing on both workstation clusters and parallel supercomputers. We illustrate these methods using a small molecular dynamics kernel developed for the simulation of rigid molecular solvents. In addition, we discuss our observation regarding global communications performance on workstation clusters with a fiber distributed data interface (FDDI) using a high-speed point-to-point switch (Gigaswitch) and the k-ary 3-cube of the Cray T3D. © 1995 by John Wiley & Sons, Inc.
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  • 188
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    Journal of Computational Chemistry 16 (1995), S. 723-728 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The problem of representing a diatomic (true) Rydberg-Klein-Rees potential Ut by an analytical function Ua is discussed. The perturbed Morse function is in the form Ua = UM + ∑bnyn, where the Morse potential is UM = Dy2, y = 1 -exp(-;a(r - re)). The problem is reduced to determination of the coefficients bn so Ua(r) = Ut(r). A standard least-squares method is used, where the number N of bn is given and the average discrepancy ΔU = |(Ut - Ua)/Ut| is observed over the useful range of r. N is varied until ΔU is stable. A numerical application to the carbon monoxide X1∑ state is presented and compared to the results of Huffaker1 using the same function with N = 9. The comparison shows that the accuracy obtained by Huffaker is reached in one model with N = 5 only and that the best ΔU is obtained for N = 7 with a gain in accuracy. Computation of the vibrational energy Ev and the rotational constant Bv, for both potentials, shows that the present method gives values of ΔE and ΔB that are smaller than those found by Huffaker. The dissociation energy obtained here is 2.3% from the experimental value, which is an improvement over Huffaker's results. Applications to other molecules and other states show similar results. © 1995 by John Wiley & Sons, Inc.
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  • 189
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    Journal of Computational Chemistry 16 (1995), S. 817-842 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: An algorithm for the analytical computation of solvent-excluded volume is presented as part of our efforts to develop an improved computational model for a solvent effect term, in which the work required to create a cavity in the solvent is expressed as a function of the solvent-excluded volume. In this article we describe mathematical developments in the analytical integration of solvent-accessible surface (SAS) area, the singularities in SAS area and volume functions, and the procedures required to detect and treat singularities. Techniques to increase algorithm performance are presented, which improve computational speed by about five times, on the average. The accuracy of the analytical method for volume computation is compared with the accuracy of two numerical methods: the numerical integration of SAS area and the point-by-point scanning method. This algorithm calculates the volume of the spheres confined among their intersection planes and resembles a numerical integration of surface area by summing up volume layers. These characteristics make the algorithm useful in analytically calculating the work required to create a convex cavity in a solvent and the work (pΔV) associated with a change in the solvent-excluded volume of the solute due to solvent pressure. © 1995 by John Wiley & Sons, Inc.
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  • 190
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    Journal of Computational Chemistry 16 (1995), S. 898-913 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: We propose a fast implementation of the boundary element method for solving the Poisson equation, which approximately determines the electrostatic field around solvated molecules of arbitrary shape. The method presented uses computational resources of order O(N) only, where N is the number of elements representing the dielectric boundary at the molecular surface. The method is based on the Fast Multipole Algorithm by Rokhlin and Greengard, which is used to calculate the Coulombic interaction between surface elements in linear time. We calculate the solvation energies of a sphere, a small polar molecule, and a moderately sized protein. The values obtained by the boundary element method agree well with results from finite difference calculations and show a higher degree of consistency due to the absence of grid dependencies. The boundary element method can be taken to a much higher accuracy than is possible with finite difference methods and can therefore be used to verify their validity. © 1995 by John Wiley & Sons, Inc.
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  • 191
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    Journal of Computational Chemistry 16 (1995), S. 914-922 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: An improved method for the calculation of enantioselectivity by molecular mechanics is presented. This method does not use any a priori assumption on the conformation of the molecules in the complex and is equally applicable to weak as well as very strong complexes. High-temperature molecular dynamics is used for the creation of a large number (5000-20,000) of random conformations and configurations of a 1:1 (or 1:2) complex of chiral molecules with a chiral selector. All configurations are energy minimized. The data set is only accepted if all lowest-energy complexes occur at least five times in the minimized data set. The enantioselectivity is then calculated from the free energies of the diasteromeric complexes (chiral chromatography) or from the ratio of the sum of the Boltzmann weights (distribution of enantiomers over a chiral organic phase and a nonchiral water phase). This approach has been successfully applied to a range of chiral compounds. These include a weakly bonded Pirkle chiral stationary phase (CSP) system, a strong complex of diprotonated 1,2-diphenyl-1,2-diamino-ethane with two molecules of R,R-tartrate, and the intermediate-strength complexes of protonated and of neutral norephedrine with R,R-tartrate. © 1995 by John Wiley & Sons, Inc.
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  • 192
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    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: To model the physical properties of sterols and related species, an all-atom Class II force field has been derived based on the recently reported CFF93 force field for hydrocarbons. It has been tested using both energy minimization and molecular dynamics (MD) simulations of the low-temperature neutron-diffraction structure of cholesteryl acetate crystals and the X-ray diffraction crystal structure of cholesterol. Thus these studies test the techniques and limitations of high-accuracy crystal simulations as well. Employing energy minimization, all cell vectors and volumes were reproduced to within 2.4% of experimental values. For cholesteryl acetate, the root mean square (rms) deviations between the calculated and experimental bond lengths, angles, and torsions of nonhydrogen atoms are 0.013 Å, 1.2°, and 2.4°, respectively. The corresponding maximum deviations are also very small: 0.027 Å for bond length, 3.2° for angle, and 7.6° for torsion. For cholesterol, good agreement between the calculated and experimental structures was found only when the comparison was limited to atoms with relatively small thermal factors (Beq 〈 15 Å2). It was found that for both systems, the MD averaged structures were in better agreement with the experimental ones than the energy minimized structures, since the rms deviations in atom positions are smaller for the MD-averaged structures (0.064 Å for cholesteryl acetate and 0.152 Å for cholesterol) than those for the minimized structures (0.178 Å for cholesteryl acetate and 0.189 Å for cholesterol). The force field was then applied to isolated molecules focusing on the rigidity of the cholesteryl ring and cholesterol-cholesterol interaction energies. It is concluded that the cholesteryl ring is fairly rigid since no major conformational change was observed during an MD simulation of a single cholesterol molecule in vacuo at 500 K, in agreement with condensed phase experiments. Calculations of cholesterol-cholesterol pairs suggest that there are only four low-energy configurations and that it is more useful to describe each molecule as having a plane (flat face) and two grooves rather than as having two (one flat and one rough) faces. This provides some insight into the equilibrium crystal structures. Limited results from a modified Class I (CVFF) force field are presented for comparison. © 1995 by John Wiley & Sons, Inc.
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  • 193
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    Journal of Computational Chemistry 16 (1995), S. 1081-1095 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The accuracy and simplicity of the Poisson-Boltzmann electrostatics model has led to the suggestion that it might offer an efficient solvent model for use in molecular mechanics calculations on biomolecules. We report a successful merger of the Poisson-Boltzmann and molecular dynamics approaches, with illustrative calculations on the small solutes dichloroethane and alanine dipeptide. The algorithm is implemented within the program UHBD. Computational efficiency is achieved by the use of rather coarse finite difference grids to solve the Poisson-Boltzmann equation. Nonetheless, the conformational distributions generated by the new method agree well with reference distributions obtained as Boltzmann distributions from energies computed with fine finite difference grids. The conformational distributions also agree well with the results of experimental measurements and conformational analyses using more detailed solvent models. We project that when multigrid methods are used to solve the finite difference problem and the algorithm is implemented on a vector supercomputer, the computation of solvent electrostatic forces for a protein of modest size will add only about 0.1 s computer time per simulation step relative to a vacuum calculation. © 1995 by John Wiley & Sons, Inc.
    Additional Material: 10 Ill.
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  • 194
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The realization that conformational flexibility must be incorporated into the description of the structural and dynamical behavior of carbohydrates has stimulated the quest for an appropriate force field and associated parameterization capable of dealing with the many specific features of these molecules. Accordingly, we set out to evaluate the capacity of very different force fields to reproduce a series of experimental spectral data such as optical rotatory dispersion, coupling constants, and nuclear Overhauser effects. NOESY volumes and long-range homonuclear and heteronuclear vicinal coupling constants were measured at 400.13 MHz. Optical rotation measurements were also performed on ethyl β-lactoside. The conformational behavior of ethyl β-lactoside was investigated in three different molecular mechanics force fields leading to three complete ensembles of theoretical conformations, which were used for evaluating these statistically averaged observables. The calculations of optical rotation followed a recent model based on interacting oscillators. Coupling constants were calculated using the appropriate sets of Karplus-type equations, and theoretical nuclear magnetic resonance (NMR) relaxation data were obtained for models which account for either slow or fast internal motions. The calculated potential energy surfaces were shown to be dependent on the type of force field, even in the case of such a simple disaccharide. They differ in several respects, including the number and location of low-energy conformers and the shallowness of the dominant primary region. It was possible to assess the different time-averaged orientations about the glycosidic linkage of the three force fields from the fit obtained for the interglycosidic heteronuclear coupling constants. Poor fits between theoretical and experimental NOESY volumes were observed for all three force fields when the slow internal motion model was used, while a greatly improved fit was obtained when the fast internal motions model was applied. It has been shown that the motional model established from NOESY data is analogous to the one obtained from molecular dynamics simulations. The quality of the fit for the NOESY data varies with the force fields and corroborates the classification obtained from heteronuclear coupling. © 1995 by John Wiley & Sons, Inc.
    Additional Material: 6 Ill.
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  • 195
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Special-purpose parallel machines that are plugged into a workstation to accelerate molecular dynamics (MD) simulations are attracting a considerable amount of interest. These machines comprise scalable homogeneous multiprocessors for calculating nonbonded forces (Coulombic and van der Waals forces), which consume more than 99% of the central processing unit (CPU) time in standard MD simulations. Each processor element in the machine has a pipeline architecture to calculate the total nonbonded force exerted on a particle by all of the other particles using information regarding the coordinates, the electric charge, and the species of each particle broadcast by the host computer. The processor then sends the calculated force back to the host computer. This article addresses the precision of the calculated nonbonded forces in the design of a processor LSI with minimal complexity. The precision of the arithmetic inside the processor that is required to calculate forces for MD simulations using Verlet's procedure was critically evaluated. Forward and backward error analysis, coupled with numerical MD experiments on one-dimensional systems, was performed, and the following results were obtained: (1) Each element of the position vector which the processor receives from the host computer should have a precision of at least 25 bits; and (2) the pairwise forces should be calculated using floating point numbers with at least 29 bits of mantissa in the processor. Calculation of a pairwise force, which involves second-order polynomial interpolation using a table-driven algorithm, requires a key which contains a duplicate of at least 11 most significant bits of mantissa of the squared pairwise distance. The final result was that (3) the total force that acts on a particle, which is obtained by summing the forces exerted by all of the other particles, should be calculated using an accumulator that has a mantissa of at least 48 bits. © 1995 by John Wiley & Sons, Inc.
    Additional Material: 4 Ill.
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  • 196
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 16 (1995), S. 1141-1152 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The efficient evaluation of polarizable molecular mechanics potentials on distributed memory parallel computers is discussed. The program executes at 7-10 Mflops/node on a 32-node CM-5 partition and is 19 times faster than comparable code running on a single-processor HP 9000/735. On the parallel computer, matrix inversion becomes a practical alternative to the commonly used iterative method for the calculation of induced dipole moments. The former method is useful in cases such as free-energy perturbation (FEP) simulations, which require highly accurate induced dipole moments. Matrix inversion is performed 110 times faster on the CM-5 than on the HP. We show that the accuracy which is needed for FEP calculations with polarization can be obtained by either matrix inversion or by performing a large number of iteration cycles to satisfy convergence tolerances that are less than 10-6 D. © 1995 by John Wiley & Sons, Inc.
    Additional Material: 3 Ill.
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  • 197
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 16 (1995), S. 1131-1140 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A parallel version of the popular molecular mechanics package AMBER suitable for execution on workstation clusters has been developed. Computer-intensive portions of molecular dynamics or free-energy perturbation computations, such as nonbonded pair list generation or calculation of nonbonded energies and forces, are distributed across a collection of Unix workstations linked by Ethernet or FDDI connections. This parallel implementation utilizes the message-passing software PVM (Parallel Virtual Machine) from Oak Ridge National Laboratory to coordinate data exchange and processor synchronization. Test simulations performed for solvated peptide, protein, and lipid bilayer systems indicate that reasonable parallel efficiency (70-90%) and computational speedup (2-5 × serial computer runtimes) can be achieved with small workstation clusters (typically six to eight machines) for typical biomolecular simulation problems. PVM-AMBER is also easily and rapidly portable to different hardware platforms due to the availability of PVM for numerous computers. The current version of PVM-AMBER has been tested successfully on Silicon Graphics, IBM RS6000, DEC ALPHA, and HP 735 workstation clusters and heterogeneous clusters of these machines, as well as on CRAY T3D and Kendall Square KSR2 parallel supercomputers. Thus, PVM-AMBER provides a simple and cost-effective mechanism for parallel molecular dynamics simulations on readily available hardware platforms. Factors that affect the efficiency of this approach are discussed. © 1995 by John Wiley & Sons, Inc.
    Additional Material: 2 Ill.
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  • 198
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: In this article the adaptation of the Empirical Conformational Energy Program for Peptides (ECEPP/3) and two conformational search methods [viz., the Monte Carlo minimization (MCM) method and the electrostatically driven Monte Carlo (EDMC) method] to the Kendall Square Research KSR1 computer is described. The MCM and EDMC methods were developed to surmount the multiple-minima problem in protein folding. Parallelization of these codes led to substantial speedups (expressed as the ratio between the mean time per energy evaluation in one processor and the mean time per energy evaluation in a set of processors) over the serial versions of these codes. A comparison of the performance of these algorithms on the KSR1 and on the IBM ES9000 computers is presented. © 1995 by John Wiley & Sons, Inc.
    Additional Material: 9 Ill.
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  • 199
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 16 (1995) 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Type of Medium: Electronic Resource
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  • 200
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 16 (1995), S. 1164-1169 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: In the process of studying the solvation of simple hydrocarbons, we found that the nonbond van der Waals (vdw) parameters for the TIP3P water model could be adjusted without significantly changing its liquid water properties. By increasing the van der Waals well depth ∊ from 0.152 kcal/mol for the TIP3P model to 0.190 kcal/mol (model TIP3P_MOD), the solvation free energy of all-atom methane changed from 2.5 kcal/mol to 2.1 kcal/mol, much closer to the experimental value of 2.0 kcal/mol. This change of van der Waals parameters does not change hydrophilic solvation, since calculations using either water model lead to the same relative solvation free energy between ethane and methanol. The solvation free-energy differences between methane and ethane and between ethane and propane have also been calculated with both models, and results found with the two water models are similar. For the united-atom hydrocarbon model, however, the solvation free energy of methane changed from 2.1 kcal/mol with TIP3P to 1.8 kcal/mol with TIP3P_MOD. © 1995 by John Wiley & Sons, Inc.
    Additional Material: 2 Ill.
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