Improving efficiency of data augmentation algorithms using Peskun’s theorem

Data augmentation (DA) algorithm is a widely used Markov chain Monte Carlo algorithm. In this paper, an alternative to DA algorithm is proposed. It is shown that the modified Markov chain is always more efficient than DA in the sense that the asymptotic variance in the central limit theorem under the alternative chain is no larger than that under DA. The modification is based on Peskun’s (Biometrika 60:607–612, 1973) result which shows that asymptotic variance of time average estimators based on a finite state space reversible Markov chain does not increase if the Markov chain is altered by increasing all off-diagonal probabilities. In the special case when the state space or the augmentation space of the DA chain is finite, it is shown that Liu’s (Biometrika 83:681–682, 1996) modified sampler can be used to improve upon the DA algorithm. Two illustrative examples, namely the beta-binomial distribution, and a model for analyzing rank data are used to show the gains in efficiency by the proposed algorithms.     

Aspects of tautomerism. 8. Solvolysis of some pseudo and normal acid chlorides

Pseudo acid chlorides derived from levulinic acid ando-benzoyl-benzoic acid, solvolyse in aqueous acetone, aqueous dioxane and aqueous dimethylformamide by aS _Nl process. Their reaction pattern is distinct from that of typical normal acid chlorides, viz.,p-benzoylbenzoyl chloride and fluorene-9-one-1-carboxylic acid chloride, which solvolyse by aS _N2 pathway. No evidence for tautomerism could be obtained either between the normal and pseudo forms of the acid chlorides or the derived ion pairs.     

Oxonium salt intermediates from half ester acid chlorides

Isomeric half eater acid chlorides derived from 1,2-and 1-3-carboxylic acids give rise to the same oxonium salt with Lewis acids.     

Development and validation of TLC‐densitometric method for determination of lipid A adjuvant as a bulk and in solid fat nanoemulsions

A simple, sensitive, selective and precise high‐performance thin‐layer chromatographic method was developed for determination of lipid A (MPLA) adjuvant as a bulk and in solid fat nanoemulsions. Chromatographic separations were performed on thin‐layer chromatography aluminum plates precoated with silica gel 60 F‐254 as stationary phase and chloroform–methanol–ethyl acetate solution (10:2:4, v/v/v) as mobile phase. With this solvent system, compact spots for MPLA at R_f value 0.80 ± 0.02 were obtained. Densitometric analysis of MPLA was carried out in absorbance mode at 357 nm. Linear regression analysis for the calibration plots showed good linear relationship with r = 0.9996 in the concentration range of 20–100 ng/spot. The mean values (±SD) of slope and intercept were found to be 7.355 ± 0.006 and 109.52 ± 0.170, respectively. Limits of detection (LOD) and quantitation (LOQ) were observed at 3.096 and 9.382 ng/spot, respectively.The method was validated for precision, accuracy, robustness and recovery as per the International Conference on Harmonization guidelines. Statistical analysis proved that the developed method for quantification of MPLA as a bulk and in solid fat nanoemulsions is reproducible, selective and economical. This method could be applied for quantitative assay of MPLA in lipid‐based vaccine formulations. Copyright © 2015 John Wiley & Sons, Ltd.     

Macrocyclic Pd(II) dithiolate complexes as catalysts in Heck reactions

The supramolecular palladium dithiolate complexes, [Pd₂(dppe)₂{S(C₆H₄)_nS}]₂(OTf)₄ and [Pd₂(dppe)₂(SCH₂C₆H₄CH₂S)]₄(OTf)₈ (dppe = 1,2-bis(diphenylphosphino)ethane) has been investigated as highly stable and robust catalysts in Heck C-C coupling reactions. The arylation of butyl acrylate and styrene with various aryl bromides under optimized catalytic systems, showed excellent yield and turnover number (410,000) of the products. The tetranuclear complexes showed slightly higher catalytic activity than the octanuclear complex.     

Fragmentation of protonated ions of peptides containing cysteine,cysteine sulfinic acid,and cysteine sulfonic acid

The oxidation of the sulfhydryl group in cysteine to sulfenic acid, sulfinic acid, and sulfonic acid in proteins is important in a number of enzymatic processes. In this study we examined the fragmentation of four peptides containing cysteine, cysteine sulfinic acid (Cys-SO(2)H), and cysteine sulfonic acid (Cys-SO(3)H) in an ion-trap mass spectrometer. Our results show that the presence of a Cys-SO(2)H in a peptide leads to preferential cleavage of the amide bond at the C-terminal side of the oxidized cysteine residue. The results are important for the determination of the site of the cysteine oxidation and might be useful for the sequencing of cysteine-containing peptides.     

Electrochemical studies of azido(imidazole) cobaloxime complexes

Summary Cyclic voltammetric studies of a series of azido(imidazole) cobaloxime complexes in acetonitrile with tetraethylammonium perchlorate as the supporting electrolyte reveal the presence of the central cobalt atom in these complexes in the +III state. In addition to reductions to cobalt(II), cobalt(I) and cobalt(0) species, evidence for oxidation to cobalt(IV) also was noted.     

Facilitated forward chemical genetics using a tagged triazine library and zebrafish embryo screening

An improved forward chemical genetics approach was successfully demonstrated using a tagged library concept. A small-molecule triazine library with linkers was used to screen for brain/eye developmental phenotypes in a zebrafish embryo system. This approach enabled the rapid isolation of the target proteins by facile affinity matrix preparation and elucidated the first small-molecule inhibitors for several ribosomal accessory proteins or their complex as the target.     

Three multicomponent reactions of 3,5-dimethyl-4-nitroisoxazole

The title compound is used to prepare 3-arylglutaric acids, bis-isoxazoles and bis-pyrazoles from commercially available materials. The methodologies described have afforded important synthetic intermediates in high yields and without the use of chromatography.     

Lactone enol cation-radicals: gas-phase generation,structure, energetics,and reactivity of the ionized enol of butane-4-lactone

The cation-radical of 2-hydroxyoxol-2-ene (1(+*)) represents the first lactone enol ion whose structure and gas-phase ion chemistry have been studied by experiment and theory. Ion 1(+*) was generated by the McLafferty rearrangement in ionized 2-acetylbutane-4-lactone and characterized by accurate mass measurements, isotope labeling, metastable ion and collisionally activated dissociation (CAD) spectra. Metastable 1(+*) undergoes competitive losses of H-4 and CO that show interesting deuterium and (13)C isotope effects. The elimination of CO from metastable 1(+*) shows a bimodal distribution of kinetic energy release and produces (*)CH(2)CH(2)CHdbond;OH(+) (14(+*)) and CH(3)CHdbond;CHOH(+*) (15(+*)) in ratios which are subject to deuterium isotope effects. Ab initio calculations at the G2(MP2) level of theory show that 1(+*) is 105 kJ mol(-1) more stable than its oxo form, [butane-4-lactone](+*)(2(+*)). The elimination of CO from 1(+*) involves multiple isomerizations by hydrogen migrations and proceeds through ion-molecule complexes of CO with 14(+*) and 15(+*). In addition, CO is calculated to catalyze an exothermic isomerization 14(+*) --> 15(+*) in the ion-molecule complexes. Multiple consecutive hydrogen migrations in metastable 1(+*), as modeled by RRKM calculations on the G2(MP2) potential energy surface, explain the unusual deuterium kinetic isotope effects on the CO elimination.