Asymptotic inference for AR(1) processes with (nonnormal) stable errors. IV. A note on the case of a negative unit root

In this note, we show that the limit distribution of the least-squares estimator in the case of a negative unit root is different from the limit distribution in the case of a positive unit root. Thus, the infinite-variance case is different from the finite-variance case. Proceedings of the Seminar on Stability Problems for Stochastic Models, Hajdúszoboszló, Hungary, 1997, Part II.     

Determination of liposome/water partition coefficients of organic acids and bases by solid-phase microextraction

The extraction of two methylated anilines and three chlorinated phenols by solid-phase microextraction (SPME) fibers coated with polyacrylate was investigated as a function of pH. Only the neutral species of the acids and bases partitioned into the polymer. Extraction kinetics were accelerated for the hydrophobic phenols at pH values around their acidity constant. This is presumably due to a reconstitution of the neutral species in the unstirred aqueous layer adjacent to the polymer surface by the charged species through the fast acid-base equilibrium. Although the charged species is not taken up into the polymer, liposome/water distribution ratios could be measured up to a pH value, where 99% of the compounds were present as charged species. The partition coefficients of the neutral and charged species were extrapolated from the pH profiles of the liposome/water distribution ratios. The resulting values were slightly lower than those measured with equilibrium dialysis. The discrepancies are discussed with respect to differences in the experimental conditions and the possibility of matrix effects during SPME measurements.     

The structure of the sugar residue in glycated human serum albumin and its molecular recognition by phenylboronate

Quantification of the extent of glycation of human serum albumin (HSA) and of haemoglobin provides a record of average mid- and long-term blood-sugar concentrations, respectively; this is very useful for the management of diabetes. The reaction of D-glucose with propylamine affords the corresponding Schiff base, N-propylamino-D-glucoside, in the cyclic form. This compound is not stable: upon standing or treatment with acid it is converted, by an Amadori rearrangement, into N-propylfructosamine. Both amino sugars occur predominantly in the beta-pyranose form. Phenylboronate forms highly stable boronate esters through binding of the cis 1,2-diol moiety in the furanose form of N-propylfructosamine. Between pH 5 and 10, an electrostatic interaction between the protonated amino group and the negatively charged boronate moiety affords an additional stabilisation of the ester. The Schiff base, however, has no observable interaction with phenylboronate. In aqueous solution the Schiff base is in equilibrium with propylamine and glucose. Upon addition of phenylboronate, this equilibrium shifts to the side of glucose due to the formation of highly stable phenylboronate esters of the beta-furanose form of this compound. After Amadori rearrangement, the sugar moieties in glycated human serum albumin have a similar structure, they occur as an equilibrium of the beta-pyranose (59%), alpha-furanose (19%) and beta-furanose (24%) anomers. The open form was not observed. The beta-furanose anomer is selectively recognised by phenylboronate.     

The determination of phosphate in turbid aqueous samples by derivative spectrophotometry

Phosphate can be determined in turbid solutions by applying a conventional spectrophotometric molybdenum blue method if the first derivative spectrum is used. Turbidity does not interfere if the absorbance caused by turbidity is ? 0.8. Calibration graphs are linear for the range 0–3 mg l^?1 phosphate. Precaution to avoid errors arising from higher concentrations are outlined. Recovery tests gave satisfactory results with imprecision of ? 4%.     

Photoluminescence study of sexithiophene thin films

To determine the exciton diffusion length of sexithiophene (6T) thin films, quenching of the photoluminescence (PL) of vacuum-deposited 6T films on TiO2 and on quartz has been investigated. For films with a thickness of more than 22 nm and at temperatures below 100 K, additional PL lines appear in luminescence spectra. This feature is related to the structural properties of 6T films. The PL intensity is thermally activated with an activation energy of 18 meV on TiO2 and 6 meV on quartz. When 6T is applied on TiO2, exciton quenching occurs for films up to 120 nm. For 6T on quartz this value is reduced to 60 nm. By comparing the relative luminescence intensities of 6T on quartz and on TiO2 substrates, an exciton diffusion length of 60 +/- 5 nm is derived.     

Synthetic studies of cystobactamids as antibiotics and bacterial imaging carriers lead to compounds with high in vivo efficacy

There is an alarming scarcity of novel chemical matter with bioactivity against multidrug-resistant Gram-negative bacterial pathogens. Cystobactamids, recently discovered natural products from myxobacteria, are an exception to this trend. Their unusual chemical structure, composed of oligomeric para-aminobenzoic acid moieties, is associated with a high antibiotic activity through the inhibition of gyrase. In this study, structural determinants of cystobactamid''s antibacterial potency were defined at five positions, which were varied using three different synthetic routes to the cystobactamid scaffold. The potency against Acinetobacter baumannii could be increased ten-fold to an MIC (minimum inhibitory concentration) of 0.06 μg mL⁻¹, and the previously identified spectrum gap of Klebsiella pneumoniae could be closed compared to the natural products (MIC of 0.5 μg mL⁻¹). Proteolytic degradation of cystobactamids by the resistance factor AlbD was prevented by an amide-triazole replacement. Conjugation of cystobactamid''s N-terminal tetrapeptide to a Bodipy moiety induced the selective localization of the fluorophore for bacterial imaging purposes. Finally, a first in vivo proof of concept was obtained in an E. coli infection mouse model, where derivative 22 led to the reduction of bacterial loads (cfu, colony-forming units) in muscle, lung and kidneys by five orders of magnitude compared to vehicle-treated mice. These findings qualify cystobactamids as highly promising lead structures against infections caused by Gram-positive and Gram-negative bacterial pathogens.

Structure–activity relationship studies of the natural product cystobactamid at four different positions led to novel imaging probes and analogs with superior antibacterial activities and in vivo efficacy.     

Determining the nucleation rate from the dimer growth probability

A new method is proposed for the determination of the stationary one-component nucleation rate J with the help of data for the growth probability P2 of a dimer which is the smallest cluster of the nucleating phase. The method is based on an exact formula relating J and P2, and is readily applicable to computer simulations of nucleation. Using the method, the dependence of J on the supersaturation s is determined by kinetic Monte Carlo simulations of two-dimensional (2D) nucleation of monolayers on the (100) face of Kossel crystal. The change of J over nearly 11 orders of magnitude is followed and it is found that the classical nucleation theory overestimates the simulation J values by an s-dependent factor. The 2D nucleus size evaluated via the nucleation theorem is described satisfactorily by the classical Gibbs-Thomson equation and its corrected version accounting for the spinodal limit of 2D nucleation.     

On-line coupling of size exclusion and capillary zone electrophoresis via a reversed-phase C18 trapping column for the analysis of structurally related enkephalins in cerebrospinal fluid

On-line coupled analytical techniques can be advantageous in the assay of smaller peptides in complex biological matrices such as plasma, cerebrospinal fluid (CSF) and tissues. The present study shows the feasibility of a recently developed system, consisting of a size-exclusion chromatographic (SEC) separation followed by a trapping procedure on an RP18 microcolumn with subsequent elution of the trapped fraction and separation by capillary zone electrophoresis (CZE) for the quantification of structural-related peptides in biological matrices, as demonstrated for a number of enkephalins in CSF. After SEC separation of the enkephalins from large proteins present in CSF a heart-cut of 200 nuL, containing the enkephalin peak, is taken, concentrated on the RP18 microcolumn and, after elution of the enkephalins with 80% acetonitrile, a fraction of the eluate is electrokinetically injected into the CZE system, where stacking and separation is achieved. The degradation of the peptides, caused by endogenous peptidases in the matrix, is sufficiently inhibited with imipramine HCl. The assay has a satisfactory linearity and intraday (9.70-16.3%) precision considering the complexity of this multidimensional separation system. The sensitivity of the method, with a concentration limit of quantification of 2.5 nug/mL, is comparable with other CZE assays for peptides and sufficient for the quantification of peptide drugs in biological matrices.     

Characterization of water-soluble oligomers formed during the emulsion polymerization of styrene by means of isotachophoresis

The concentrations and probable nature of charged oligomers formed by aqueous-phase termination in the persulfate-initiated emulsion polymerization of styrene were measured by isotachophoresis. Isotachophoresis has some advantages over other techniques (e.g., GPC, UV spectroscopy) in that it separates species according to their molecular weight, geometry, and charge. The charged water-soluble oligomeric species were detected in experiments in which particles were nucleated in a surfactant-free environment. Identification of the moieties present was made by comparison with model compounds. Evidence was found for bimolecular combination as a major mechanism of termination in the aqueous phase, although the possibility of disproportionation could not be ruled out. The species formed in the aqueous phase under saturated monomer conditions were found to be subject to further reaction towards the end of polymerization. The surface adsorption characteristics of the compounds formed were compared with those of known surfactants and showed good agreement with the assumptions in the model of Maxwell et. al. [Macromolecules, 24 , 1629 (1991)] for initiator efficiencies in emulsion polymerization. The relatively large concentrations of nonradical aqueous–soluble oligomeric compounds demonstrate conclusively that initiator efficiencies are not 100%, as is often assumed in such systems. © 1993 John Wiley & Sons, Inc.     

Combined epimerisation and acylation: Meerwein-Ponndorf-Verley-Oppenauer catalysts in action

A practical racemisation-epimerisation method for chiral secondary alcohols has been developed. Meerwein-Ponndorf-Verley-Oppenauer catalysts such as neodymium(III) isopropoxide are able to racemise these alcohols with retention of other stereocentres in the molecule. This is particularly useful for the recycling of the undesired products of kinetic resolutions of alcohols. By combination of such a racemisation with an acylation using isopropenyl or ethoxyvinyl esters as acyl donors, a fast straightforward recycling of starting materials may be achieved. The combined epimerisation and acylation process is demonstrated for the steroid estradiol methyl ether.