Existence of superposition solutions for pulse propagation in nonlinear resonant media

Existence of self-similar, superposed pulse-train solutions of the nonlinear, coupled Maxwell-Schr\"odinger equations, with the frequencies controlled by the oscillator strengths of the transitions, is established. Some of these excitations are specific to the resonant media, with energy levels in the configurations of $\Lambda$ and $N$ and arise because of the interference effects of cnoidal waves, as evidenced from some recently discovered identities involving the Jacobian elliptic functions. Interestingly, these excitations also admit a dual interpretation as single pulse-trains, with widely different amplitudes, which can lead to substantially different field intensities and population densities in different atomic levels.Comment: 11 Pages, 6 Figures, presentation changed and 3 figures adde

In Vitro Selection of a DNA-Templated Small-Molecule Library Reveals a Class of Macrocyclic Kinase Inhibitors

DNA-templated organic synthesis enables the translation of DNA sequences into synthetic small-molecule libraries suitable for in vitro selection. Previously, we described the DNA-templated multistep synthesis of a 13 824-membered small-molecule macrocycle library. Here, we report the discovery of small molecules that modulate the activity of kinase enzymes through the in vitro selection of this DNA-templated small-molecule macrocycle library against 36 biomedically relevant protein targets. DNA encoding selection survivors was amplified by PCR and identified by ultra-high-throughput DNA sequencing. Macrocycles corresponding to DNA sequences enriched upon selection against several protein kinases were synthesized on a multimilligram scale. In vitro assays revealed that these macrocycles inhibit (or activate) the kinases against which they were selected with IC50 values as low as 680 nM. We characterized in depth a family of macrocycles enriched upon selection against Src kinase, and showed that inhibition was highly dependent on the identity of macrocycle building blocks as well as on backbone conformation. Two macrocycles in this family exhibited unusually strong Src inhibition selectivity even among kinases closely related to Src. One macrocycle was found to activate, rather than inhibit, its target kinase, VEGFR2. Taken together, these results establish the use of DNA-templated synthesis and in vitro selection to discover small molecules that modulate enzyme activities, and also reveal a new scaffold for selective ATP-competitive kinase inhibition.Chemistry and Chemical Biolog

The electronic nature of the aglycone dictates the drive of the pseudorotational equilibrium of the pentofuranose moiety in C-nucleosides

We herein show for the first time that the specific electronic character of a C-aglycone dictates the thermodynamic preference of the two-state N reversible arrow S pseudorotational equilibrium to either N- or S-type sugar. As the electron-deficiency of t</p

Coherent resonant pulse propagation in a Kerr absorber

We present a numerical study of the nonsteady state pulse propagation in a resonant inhomogeneously broadened absorber embedded in a dielectric medium with a Kerr-type nonlinearity. We abandon the a priori assumption for the existence of steady state solutions and examine the problem from a more physical point of view, i.e., we study the way in which the pulse actually propagates in the resonant Kerr medium and whether it eventually evolves toward a steady state. We find that the individual atomic dipoles are dephased and that their evolution depends on detunings. We believe that this is the reason for small energy losses which deny the attainment of a truly steady state pulse.</jats:p

Structure-function relationships in the hammerhead ribozyme probed by base rescue.

We previously showed that the deleterious effects from introducing abasic nucleotides in the hammerhead ribozyme core can, in some instances, be relieved by exogenous addition of the ablated base and that the relative ability of different bases to rescue catalysis can be used to probe functional aspects of the ribozyme structure [Peracchi et al., Proc NatAcad Sci USA 93:11522]. Here we examine rescue at four additional positions, 3, 9, 12 and 13, to probe transition state interactions and to demonstrate the strengths and weaknesses of base rescue as a tool for structure-function studies. The results confirm functional roles for groups previously probed by mutagenesis, provide evidence that specific interactions observed in the ground-state X-ray structure are maintained in the transition state, and suggest formation in the transition state of other interactions that are absent in the ground state. In addition, the results suggest transition state roles for some groups that did not emerge as important in previous mutagenesis studies, presumably because base rescue has the ability to reveal interactions that are obscured by local structural redundancy in traditional mutagenesis. The base rescue results are complemented by comparing the effects of the abasic and phenyl nucleotide substitutions. The results together suggest that stacking of the bases at positions 9, 13 and 14 observed in the ground state is important for orienting other groups in the transition state. These findings add to our understanding of structure-function relationships in the hammerhead ribozyme and help delineate positions that may undergo rearrangements in the active hammerhead structure relative to the ground-state structure. Finally, the particularly efficient rescue by 2-methyladenine at position 13 relative to adenine and other bases suggests that natural base modifications may, in some instance, provide additional stability by taking advantage of hydrophobic interactions in folded RNAs

Synthesis of 2'-modified nucleotides and their incorporation into hammerhead ribozymes.

Several 2'-modified ribonucleoside phosphoramidites have been prepared for structure-activity studies of the hammerhead ribozyme. The aim of these studies was to design and synthesize catalytically active and nuclease-resistant ribozymes. Synthetic schemes for stereoselective synthesis of the R isomer of 2'-deoxy-2'-C-allyl uridine and cytidine phosphoramidites, based on the Keck allylation procedure, were developed. Protection of the 2'-amino group in 2'-deoxy-2'-aminouridine was optimized and a method for the convenient preparation of 5'-O-dimethoxytrityl-2'-deoxy-2'-phthalimidouridine 3'-O-(2-cyanoethyl-N,N-diisopropylphosphoramidite) was developed. During the attempted preparation of the 2'-O-t-butyldimethylsilyl-3'-O-phosphoramidite of arabinouridine a reversed regioselectivity in the silylation reaction, compared with the published procedure, was observed, as well as the unexpected formation of the 2,2'-anhydronucleoside. A possible mechanism for this cyclization is proposed. The synthesis of 2'-deoxy-2'-methylene and 2'-deoxy-2'-difluoromethylene uridine phosphoramidites is described. Based on a '5-ribose' model for essential 2'-hydroxyls in the hammerhead ribozyme these 2'-modified monomers were incorporated at positions U4 and/or U7 of the catalytic core. A number of these ribozymes had almost wild-type catalytic activity and improved stability in human serum, compared with an all-RNA molecule