High-quality-factor Bragg onion resonators with omnidirectional reflector cladding

We propose to approximate a spherically symmetric Bragg resonator in an onionlike geometry. We develop a transfer-matrix theory for calculation of the quality factors and analyze the effect of the onion stem on cavity Q factors. We find that it is possible to achieve significant inhibition of spontaneous emission in an onion resonator with omnidirectional cladding layers.     

Essential and Intessential Fractal Ideals in the Group Rign of a Free Group

Fractal ideals, constructed from free ideals by a process ofself-similar duplication, are investigated vis à visthe algebraic property of essentiality. The answer seems toshow that this property is sensitive to the process that wasused to construct the ideal.     

Series and Monte Carlo study of high-dimensional Ising models

Ising models in high dimensions are used to compare high-temperature series expansions with Monte Carlo simulations. Simulations of the magnetization on four-, six-, and seven-dimensional hypercubic lattices give consistent values of the critical temperature from both equilibrium and nonequilibrium data ford=6 and 7. We tabulate 15 terms of series expansions for the susceptibility for generald and giveJ/k _B T _c =0.092295 (3) and 0.077706 (2) ford=6 and 7. In contrast to five dimensions, where earlier series found nonanalytic scaling corrections, for d=6 and 7 the leading scaling correction may be analytic inT-T _c . In most cases these expansions gave more accurate results than these simulations.     

Percolation cluster numbers

It has recently been suggested that there may be an infinite number of independent exponents hidden in the tails of the probability distribution of average percolation cluster numbers. A simple approximation of non-Gaussian effects was used to deduce this result and we show that this approximation is questionable. Extensive simulations of the cluster distribution have been made and an interesting dependence of the cumulants on concentration and range of summation has been observed.     

Coherent combining of the output of two semiconductor lasers using optical phase-lock loops

We have experimentally demonstrated current-injection optical phase-lock loops (OPLLs) based on commercial single-section semiconductor distributed-feedback (DFB) lasers. Using two parallel OPLLs, we have obtained 87% efficient coherent power combining of the two DFB lasers. The rms differential phase error between the two lasers is about 30 degrees .     

Intestinal permeability of cyclic peptides: common key backbone motifs identified

Insufficient oral bioavailability is considered as a key limitation for the widespread development of peptides as therapeutics. While the oral bioavailability of small organic compounds is often estimated from simple rules, similar rules do not apply to peptides, and even the high oral bioavailability that is described for a small number of peptides is not well understood. Here we present two highly Caco-2 permeable template structures based on a library of 54 cyclo(-D-Ala-Ala(5)-) peptides with different N-methylation patterns. The first (all-trans) template structure possesses two β-turns of type II along Ala(6)-D-Ala(1) and Ala(3)-Ala(4) and is only found for one peptide with two N-methyl groups at D-Ala(1) and Ala(6) [(NMe(1,6)]. The second (single-cis) template possesses a characteristic cis peptide bond preceding Ala(5), which results in type VI β-turn geometry along Ala(4)-Ala(5). Although the second template structure is found in seven peptides carrying N-methyl groups on Ala(5), high Caco-2 permeability is only found for a subgroup of two of them [NMe(1,5) and NMe(1,2,4,5)], suggesting that N-methylation of D-Ala(1) is a prerequisite for high permeability of the second template structure. The structural similarity of the second template structure with the orally bioavailable somatostatin analog cyclo(-Pro-Phe-NMe-D-Trp-NMe-Lys-Thr-NMe-Phe-), and the striking resemblance with both β-turns of the orally bioavailable peptide cyclosporine A, suggests that the introduction of bioactive sequences on the highly Caco-2 permeable templates may result in potent orally bioavailable drug candidates.     

Dualizing complexes and perverse sheaves on noncommutative ringed schemes

A quasi-coherent ringed scheme is a pair (X, $$ \mathcal{A} $$), where X is a scheme, and $$ \mathcal{A} $$ is a noncomutative quasi-coherent $$ \mathcal{O}_X $$ -ring. We introduce dualizing complexes over quasi-coherent ringed schemes and study their properties. For a separated differential quasi-coherent ringed scheme of finite type over a field, we prove existence and uniqueness of a rigid dualizing complex. In the proof we use the theory of perverse coherent sheaves in order to glue local pieces of the rigid dualizing complex into a global complex.     

cis‐Peptide Bonds: A Key for Intestinal Permeability of Peptides?

Recent structural studies on libraries of cyclic hexapeptides led to the identification of common backbone conformations that may be instrumental to the oral availability of peptides. Furthermore, the observation of differential Caco‐2 permeabilities of enantiomeric pairs of some of these peptides strongly supports the concept of conformational specificity driven uptake and also suggests a pivotal role of carrier‐mediated pathways for peptide transport, especially for scaffolds of polar nature. This work presents investigations on the Caco‐2 and PAMPA permeability profiles of 13 selected N‐methylated cyclic pentaalanine peptides derived from the basic cyclo(‐D ‐Ala‐Ala₄‐) template. These molecules generally showed moderate to low transport in intestinal epithelia with a few of them exhibiting a Caco‐2 permeability equal to or slightly higher than that of mannitol, a marker for paracellular permeability. We identified that the majority of the permeable cyclic penta‐ and hexapeptides possess an N‐methylated cis‐peptide bond, a structural feature that is also present in the orally available peptides cyclosporine A and the tri‐N‐methylated analogue of the Veber–Hirschmann peptide. Based on these observations it appears that the presence of N‐methylated cis‐peptide bonds at certain locations may promote the intestinal permeability of peptides through a suitable conformational preorganization.