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  • 1
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 15 (1994), S. 704-718 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Molecular dynamics (MD) simulation and thermodynamic integration (TI) techniques have been used to study the relative free energies of the 8-methyl-N5-deazapterin and 8-methyl-pterin cations (N3 protonated) in aqueous solution. The MD simulations were performed at constant temperature and volume, and the mutations between the cations were carried out by changing the coupling parameter continuously and linearly with the MD simulation time (continuous coupling or slow growth method). The free energy changes have been calculated using both linear and nonlinear couplings of the potential energy functions. Free energy changes have also been computed using the perturbation method for comparison. After separation into electrostatic and van der Waals mutations, most (ca. 80%) of the total free energy change is found to be due to mutation of the electrostatic terms. The free energy change is found to be sensitive to the cutoff radii for interactions between solvent molecules, but rather insensitive to the cutoff radii for interactions between cation and solvent. The free energy changes have also been calculated using various cation and solvent models. Atomic charges for the cations were derived from the molecular electrostatic potential at the semiempirical AM1 and ab initio self-consistent field (SCF) (3-21G, 6-31G, 6-31G*, 6-311G**) levels using AM1 and 3-21G optimized geometries. The TIP3P and SPC models were adopted for the solvent. For the TIP3P solvent model, the order of the free energy change is 6-31G 〉 3-21G 〉 6-31G* ≈ 6-311G** 〉 AM1, where the difference between 6-31G and AM1 is approximately 1 kcal/mol. The free energies obtained using 3-21G optimized geometries are approximately 0.7 kcal/mol larger than those obtained using AM1 geometries for the cations. The free energy change computed using the TIP3P/6-311G* model is 0.3 kcal/mol larger than that obtained for the SPC/6-311G* model. © 1994 by John Wiley & Sons, Inc.
    Additional Material: 6 Ill.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 10 (1989), S. 939-950 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Several improvements have been made to the gradient algorithms commonly used to optimize equilibrium and transition-state geometries at the semiempirical level. A gradient algorithm derived from a combination of a variable metric method (Davidon-Fletcher-Powell/Broyden-Fletcher-Goldfarb-Shanno) and Pulay's direct inversion in the iterative subspace method for geometry optimization (GDIIS) is compared with the variable metric method combined with an accurate linear search algorithm. The latter method is used routinely in the standard semiempirical program packages, MNDO, MOPAC, and AMPAC. The combined variable metric and GDIIS algorithm is also compared with GDIIS which uses a static metric. The performance of these algorithms is examined for a wide range of systems with respect to both choice of coordinate system (for cyclic molecules) and guess for the initial Hessian. The results show that the GDIIS method is up to ca. 40% more efficient than the variable metric combined with accurate line search algorithm: however, the exact savings vary depending on the coordinate system and initial Hessian. For noncyclic systems, variable-metric GDIIS is usually equal or superior to static-metric GDIIS, and consistently performs ca. 30% more efficiently than the variable metric combined with accurate line search algorithm. For the optimization of cyclic molecules, an improved estimate of the initial Hessian has increased the efficiency by at least a factor of two. Greater efficiencies (usually 〉40%) are also obtained when static-metric GDIIS is used to refine the geometry after the initial application of a transition-state search based on the variable metric combined with line search algorithm. On the basis of these results, we recommend several changes to the algorithms as currently implemented in the standard semiempirical program packages.
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
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  • 3
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: As part of a study of factors controlling biological redox reactions of nicotinamide cofactors [nicotinamide adenine dinucleotide (phosphate) NAD(P)H], we have investigated the effect on a model reaction of the conformational state (cis or trans) of the carboxamide side chain, using quantum chemical methods. The reaction is that for the enzyme dihydrofolate reductase between the NADPH analogue, 1-methyl-dihydronicotinamide, and the protonated forms of the folate and dihydrofolate substrate analogues, pyrazine and dihydropyrazine. Some calculations on pterin and dihydropterin substrate analogues were also carried out in order to gauge the effects of inter-ring coupling. The influence of carboxamide side-chain conformation of nicotinamide on the energetics of the hydride-ion transfer, and on the structures of the transition states and stable intermolecular-interaction complexes, are examined as a function of the orientation of approach of the reactants. These approach geometries include those corresponding to the observed binding of cofactor and either substrate or inhibitor in the enzyme active site. Reactant, product, reactants-complex, and transition-state geometries were optimized at the semiempirical AM1 level, while ab initio SCF/STO-3G and SCF/3-21G single-point calculations were carried out at the AM1 optimized geometries for all species, as well as full geometry optimizations for isolated reactants and products. The results show that reactants-complex and transition-state energies are lower for the trans conformer of dihydronicotinamide than for the cis conformer, due to more favorable H-bonding or electrostatic interactions with the protonated substrate. Also, consideration of the structural parameters, including reaction coordinate bond lengths, ring geometries, and charge distributions, indicate that the trans transition states are more product-like than those for the cis. For the (trans) approaches corresponding to the enzymic orientation for substrate, the intermolecular interaction for the folate reaction lacks the stabilizing influence of the formal H-bond which is present for the dihydrofolate reaction, and consequently the reactants-complex and transition state are less stable.
    Additional Material: 8 Ill.
    Type of Medium: Electronic Resource
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