Stability of Manpower Systems

Members of an organization belong to one of the grades (1, 2,... k), and movements between grades are governed by a substochastic matrix P. The model can be deterministic, stochastic, or partially stochastic; and we may or may not insist that the total size be restored to a fixed quantity each year. Various notions of the stability of a structure x = (x₁, x₂, … x _k ), where x _i represents the number, or proportion, in grade i are considered. Mainly, but not exclusively, the case when P is upper triangular is considered.     

A new chiral diol derived from tetralone for the complexation of Lewis acids

A new approach to the rational design of Lewis acids based on face-face π-π interactions is described. The synthesis of two novel diols (−)(1R,3R)-2,2-dimethyl-1,2,3,4-tetrahydronaphthalene-1,3-diol (−)-1 and (−)(1S,3R)-trans-2,2-dimethyl-1,2,3,4-tetrahydronaphthalene-1-3-diol (−)-9 is reported in six and five steps respectively starting from α-tetralone. Complexation of (−)(1R,3R)-2,2-dimethyl-1,2,3,4-tetrahydronaphthalene-1,3-diol (−)-1 to phenylboronic acid shows the interplanar distance between the boron atom and the aromatic ring to be 3.05 Å, which is ideal for the proposed interactions.     

A rapid and sensitive HPLC procedure for the determination of atrazine residues in soil-water extracts

An automated procedure is described for the rapid determination of the residual herbicide atrazine at ppb levels in soil-water extracts. The system consists of an autosampler connected to a C18 precolumn linked via a switching valve to a C18 analytical column and spectrophotometer. Peak height is superior to peak area for quantifying results with coefficients of variation of 0.48% and 0.89%, respectively, for 7.5 ng standard injections. Precolumn concentration eliminates the need for sample cleanup and achieves up to a 37% increase in peak height compared to an isocratic system. In a black earth soil, atrazine is identified as the principal phytotoxic constituent. The minimum detectable level is one-tenth the critical no-effect threshold for wheat. The method is well suited for predicting possible atrazine injury to susceptible crops and the measurement of other nonpolar analytes in aqueous solution.     

Polymethacrylate Networks as Substrates for Cell Culture

Summary: methacrylate networks have a long history of applications in medical technology and much is known of their non-fouling properties. However, in recent times it has become clear that the swollen nature of these materials may provide some advantages if they are used as scaffolds in tissue engineering. In general however these hydrogels are resistant to protein adsorption and human cells do not easily adhere. In this work we provide an overview of several strategies that are designed to improve the cell-adhesive properties of hydrogels while maintaining their useful properties, mainly ease of diffusion of nutrients and growth factors. We describe our early attempts at modifying hydrogels based on 2,3-propandiol -1-methacrylate, with either hydrophobic units or acid groups. Modification with lauryl methacrylate produced an improvement but acid modification failed to provide surfaces that were conducive to cell culture. Much better scaffolds were prepared by amination of epoxy functional 2,3-propandiol-1-methacrylate networks. Optimized materials in this class were shown to be good substrates for the co-culture of bovine keratocytes with human corneal epithelial cells. We also describe the synthesis and biological properties of methacrylate conetworks, which phase separate during synthesis to give porous amphiphilic materials. Optimization of these materials produces materials that perform as well as tissue culture plastic so that confluent sheets of human dermal fibroblasts can be produced using standard culture techniques.     

Vacuum moulding of a superplastic in two dimensions

A mathematical model is proposed for the process of vacuum superplasticforming. The model exploits the fact that in most industrialapplications the sheet aspect ratio (thickness/sheet width)is small. After an initial consideration of some of the moregeneral properties and the literature of superplastic materials,the elastic/plastic deformation of an internally-inflated thin-walledcylinder is examined. Plates of arbitrary geometry are thenconsidered. A quasisteady model in which the sheet moves througha sequence of steady states is developed. Some simplified closed-formsolutions are examined, but for general cases a system of nonlinearpartial differential equations must be solved numerically. Anefficient and accurate semi-explicit numerical scheme is proposedand a simplified stability analysis is presented; the methodis then used to compute properties of superplastic vacuum mouldedsheets in a number of practically motivated cases.     

Mutation rate analysis at 19 autosomal microsatellites

Previous studies have demonstrated that a large sample size is needed to reliably estimate population‐ and locus‐specific microsatellite mutation rates. Therefore, we conducted a long‐term collaboration study and performed a comprehensive analysis on the mutation characteristics of 19 autosomal short tandem repeat (STR) loci. The STR loci located on 15 of 22 autosomal chromosomes were analyzed in a total of 21 106 samples (11 468 parent–child meioses) in a Chinese population. This provided 217 892 allele transfers at 19 STR loci. An overall mutation rate of 1.20 × 10^?3 (95% CI, 1.06–1.36 × 10^?3) was observed in the populations across 18 of 19 STR loci, except for the TH01 locus with no mutation found. Most STR mutations (97.7%) were single‐step mutations, and only a few mutations (2.30%) comprised two and multiple steps. Interestingly, approximately 93% of mutation events occur in the male germline. The mutation ratios increased with the paternal age at child birth (r = 0.99, p<0.05), but not maternal age. Last, with the combination analysis of the data from the southern Chinese population, we drew a picture of 19 STR mutations in China. In conclusion, the data from this study will provide useful information in parentage testing, kinship analysis, and population genetics.     

Surface Segregated AgAu Tadpole‐Shaped Nanoparticles Synthesized Via a Single Step Combined Galvanic and Citrate Reduction Reaction

New AgAu tadpole nanocrystals were synthesized in a one‐step reaction involving simultaneous galvanic replacement between Ag nanospheres and AuCl₄^?_(aq.) and AuCl₄^?_(aq.) reduction to Au in the presence of citrate. The AgAu tadpoles display nodular polycrystalline hollow heads, while their undulating tails are single crystals. The unusual morphology suggests an oriented attachment growth mechanism. Remarkably, a 1 nm thick Ag layer was found to segregate so as to cover the entire surface of the tadpoles. By varying the nature of the seeds (Au NPs), double‐headed Au tadpoles could also be obtained. The effect of a number of reaction parameters on product morphology were explored, leading to new insights into the growth mechanisms and surface segregation behavior involved in the synthesis of bimetallic and anisotropic nanomaterials.     

Demonstrating mesoscopic superpositions in double-well Bose-Einstein condensates

The availability of Bose-Einstein condensates as mesoscopic or macroscopic quantum objects has aroused new interest in the possibility of making and detecting coherent superpositions involving many atoms. We consider the important problem of distinguishing whether a coherent superposition or a statistical mixture is generated by a given experimental procedure, using the specific example of a double-well condensate. In this system, such a superposition state can be generated by using a Feshbach resonance to tune the inter-atomic interactions. We find that unambiguously distinguishing even a perfect ‘NOON’ state from a statistical mixture using standard detection methods will present experimental difficulties.