Base pairing and miscoding properties of 1,N(6)-ethenoadenine- and 3,N(4)-ethenocytosine-containing RNA oligonucleotides

Two RNA phosphoramidites containing the bases 1,N(6)-ethenoadenine (εA) and 3,N(4)-ethenocytosine (εC) were synthesized. These building blocks were incorporated into two 12-mer oligoribonucleotides for evaluation of the base pairing properties of these base lesions by UV melting curve (Tm) and circular dichroism measurements. The Tm data of the resulting duplexes with the etheno modifications opposing all natural bases showed a substantial destabilization compared to the corresponding natural duplexes, confirming their inability to form base pairs. The coding properties of these lesions were further investigated by introducing them into 31-mer oligonucleotides and assessing their ability to serve as templates in primer extension reactions with HIV, AMV, and MMLV reverse transcriptases (RT). Primer extension reactions showed complete arrest of the incorporation process using MMLV RT and AMV RT, while HIV RT preferentially incorporates dAMP opposite εA and dAMP as well as dTMP opposite εC. The properties of these RNA lesions are discussed in the context of its putative biological role.

Watson-Crick base-pairing properties of tricyclo-DNA

Tricyclo-DNA belongs to the family of conformationally restricted oligodeoxynucleotide analogues. It differs structurally from DNA by an additional ethylene bridge between the centers C(3') and C(5') of the nucleosides, to which a cyclopropane unit is fused for further enhancement of structural rigidity. The synthesis of the hitherto unknown tricyclodeoxynucleosides containing the bases cytosine and guanine and of the corresponding phosphoramidite building blocks is described, as well as a structural description of a representative of an alpha- and a beta-tricyclodeoxynucleoside by X-ray analysis. Tricyclodeoxynucleoside building blocks of all four bases were used for the synthesis of fully modified mixed-base oligonucleotides. Their Watson-Crick pairing properties with complementary DNA, RNA, and with itself were investigated by UV melting curves, CD spectroscopy, and molecular modeling. Tricyclo-DNA was found to be a very stable Watson-Crick base-pairing system. A UV melting curve analysis of the decamers tcd(pcgtgacagtt) and tcd(paactgtcacg) showed increased thermal stabilities of up to DeltaT(m)/mod. = +1.2 degrees C with complementary DNA and +2.4 degrees C with complementary RNA. With itself, tricyclo-DNA showed an increase in stability of +3.1 degrees C/base pair relative to DNA. Investigations into the thermodynamic properties of these decamers revealed an entropic stabilization and an enthalpic destabilization for the tricyclo-DNA/DNA duplexes. CD spectroscopic structural investigations indicated that tricyclo-DNA containing duplexes preferrably exist in an A-conformation, a fact which is in agreement with results from molecular modeling

hp-DGFEM for second-order mixed elliptic problems polyhedra

We prove exponential rates of convergence of hp-version discontinuous Galerkin (dG) interior penalty finite element methods for second-order elliptic problems with mixed Dirichlet-Neumann boundary conditions in axiparallel polyhedra. The dG discretizations are based on axiparallel, σ-geometric anisotropic meshes of mapped hexahedra and anisotropic polynomial degree distributions of μ-bounded variation. We consider piecewise analytic solutions which belong to a larger analytic class than those for the pure Dirichlet problem considered in [11, 12]. For such solutions, we establish the exponential convergence of a nonconforming dG interpolant given by local L 2 -projections on elements away from corners and edges, and by suitable local low-order quasi-interpolants on elements at corners and edges. Due to the appearance of non-homogeneous, weighted norms in the analytic regularity class, new arguments are introduced to bound the dG consistency errors in elements abutting on Neumann edges. The non-homogeneous norms also entail some crucial modifications of the stability and quasi-optimality proofs, as well as of the analysis for the anisotropic interpolation operators. The exponential convergence bounds for the dG interpolant constructed in this paper generalize the results of [11, 12] for the pure Dirichlet case.