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  • 1
    ISSN: 1432-1017
    Keywords: Key words RNA structural motifs ; GNRA tetraloops ; Conformational search ; Solvent effects ; Electrostatic continuum model ; AbbreviationsMC-SYM Macromolecular conformations by symbolic programming ; JUMNA Junction minimization of nucleic acids ; AMBER Assisted model building with energy refinement ; RF Reaction field ; FIESTA Field integrated electrostatic approach ; FD Finite difference ; sc Synclinal ; ac Anticlinal ; ap Antiperiplanar ; ED Electrostatic damping
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Physics
    Notes: Abstract The protocol of conformational analysis applied here to ribonucleotide oligomers combines conformational search in the space of torsion angles and energy minimization using the AMBER4.1 force field with a continuum treatment of electrostatic solute-solvent interactions. RNA fragments with 5′-GGGCGNNAGCCU-3′ sequences commonly fold into hairpins with four-membered loops. The combinatorial search for acceptable conformations using the MC-SYM program was restricted to loop nucleotides and yielded roughly 1500 structures being compatible with a double-stranded stem. After energy minimization by the JUMNA program (without applying any experimental constraints), these structures converged into an ensemble of 74 different conformers including 26 structures which contained the sheared G-A base pair observed in experimental studies of GNRA tetraloops. Energetic analysis shows that inclusion of solvent electrostatic effects is critically important for the selection of conformers that agree with experimentally determined structures. The continuum model accounts for solvent polarization by means of the electrostatic reaction field. In the case of GNRA loop sequences, the contributions of the reaction field shift relative stabilities towards conformations showing most of the structural features derived from NMR studies. The agreement of computed conformations with the experimental structures of GAAA, GCAA, and GAGA tetraloops suggests that the continuum treatment of the solvent represents a definitive improvement over methods using simple damping models in electrostatic energy calculations. Application of the procedure described here to the evaluation of the relative stabilities of conformers resulting from searching the conformational space of RNA structural motifs provides some progress in (non-homology based) RNA 3D-structure prediction.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical chemistry accounts 33 (1974), S. 29-41 
    ISSN: 1432-2234
    Keywords: Numerical solution of the Schrödinger equation ; Schrödinger equation, numerical solution of ∼
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract A numerical method for the calculation of bound states in a one-dimensional potential is suggested, the application of which is very simple and economic. The wavefunctions as well as the potential are approximated by Lagrange interpolation polynomials of the order 2N. The application of the variational principle yields a (2N−1)th order eigenvalue problem of the symmetric matrix H derived from the universal matrices' T and V (l) (l = 0,1,..., N) and (2N + 1) discrete potential values of the actual problem by means of simple matrix algebra. The accuracy of the obtained energies and wavefunctions depends on the parameter N. The proposed method has been applied to different types of potentials. Using polynomials of the order twenty (N=10), generally the results are quite satisfactory for the states of quantum numbers n≦4.
    Type of Medium: Electronic Resource
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