Stable DNA Sequence Over Close-Ending and Pairing Sequences Constraint

Selective and Stable DNA Base Pairing without Hydrogen Bonds.

Noncovalent interactions between aromatic nucleobases are the major stabilizing forces which contribute to the structural integrity of duplex DNA and RNA.1-3 However, base pairing in nucleic acids is a consequence of more than just hydrogen bonding alone. The predictive success of nearest neighbor analysis,4 along with “dangling base” measurements which show duplex stabilization in the absence ...

Sequence recognition in the pairing of DNA duplexes.

Pairing of DNA fragments with homologous sequences occurs in gene shuffling, DNA repair, and other vital processes. While chemical individuality of base pairs is hidden inside the double helix, x ray and NMR revealed sequence-dependent modulation of the structure of DNA backbone. Here we show that the resulting modulation of the DNA surface charge pattern enables duplexes longer than approximat...

The Pairing Constraint for Round

Quintasymptotic sequences over an ideal and quintasymptotic cograde

‎Let $I$ denote an ideal of a Noetherian ring $R$‎. ‎The purpose of‎ ‎this article is to introduce the concepts of quintasymptotic‎ ‎sequences over $I$ and quintasymptotic cograde of $I$‎, ‎and to show that they play a role analogous to quintessential sequences‎ ‎over $I$ and quintessential cograde of $I$‎. ‎We show that‎, ‎if $R$ is‎ ‎local‎, ‎then the quintasymptotic cograde of $I$ is una...

Sequences close to periodic

The paper is a survey of notions and results related to classical and new generalizations of the notion of a periodic sequence. The topics related to almost periodicity in combinatorics on words, symbolic dynamics, expressibility in logical theories, algorithmic computability, Kolmogorov complexity, number theory, are discussed.