The non-orientable genus of some metacyclic groups

We describe non-orientable, octagonal embeddings for certain 4-valent, bipartite Cayley graphs of finite metacyclic groups, and give a class of examples for which this embedding realizes the non-orientable genus of the group. This yields a construction of Cayley graphs for which is arbitrarily large, where and are the orientable genus and the non-orientable genus of the Cayley graph.Work supported in part by the Research Council of Slovenia, Yugoslavia and NSF Contract DMS-8717441.Supported by NSF Contract DMS-8601760.     

Factorial Design for Development of a High-Performance Thin-Layer Chromatography Method for the Simultaneous Estimation of Abacavir Sulfate,Lamivudine Hydrochloride,and Dolutegravir Sodium

JPC – Journal of Planar Chromatography – Modern TLC - A high-performance thin-layer chromatography (HPTLC) method has been developed for the simultaneous estimation of abacavir sulfate...     

Superrigid subgroups of solvable Lie groups

Let be a discrete subgroup of a simply connected, solvable Lie group , such that has the same Zariski closure as . If is any finite-dimensional representation of , we show that virtually extends to a continuous representation of . Furthermore, the image of is contained in the Zariski closure of the image of . When is not discrete, the same conclusions are true if we make the additional assumption that the closure of is a finite-index subgroup of (and is closed and is continuous).

     

Determination of oestrogen concentrations in bovine plasma by a recombinant oestrogen receptor-reporter gene yeast bioassay.

A recombinant cell yeast bioassay (RCBA) was applied to the generic measurement of bovine plasma oestrogen concentration. Samples were prepared by diethyl ether extraction of plasma following addition of [3H]17 beta-oestradiol as internal standard; organic and aqueous phases were separated by freezing (recovery 97.1 +/- 0.7%) and dried extract reconstituted in culture medium (recovery 31.4 +/- 4.5%). Plasma oestrogen concentrations were measured by incubation of extracts with yeast containing a stable human oestrogen receptor (hER) and a reporter construct comprising an hER response element regulating beta-galactosidase expression. The linearity of response for the analysis of spiked plasma samples using the RCBA, following corrections, is described by y = 0.8994x - 0.111 (r2 = 0.9776, P < 0.0001). Inter-assay variation for endogenous oestrogen was 11.5% for > 1 pg ml-1. Plasma oestrogen concentrations for intact (n = 5) and castrated (n = 3) males were < 0.5 pg ml-1, and 3.7 +/- 2.6 pg ml-1 for luteal phase females (n = 10). Analysis by RCBA of sequential samples from heifers during the reproductive cycle failed to detect the pre-ovulatory increase in plasma 17 beta-oestradiol as determined by radioimmunoassay (RIA) (maximal concentrations 2.09 +/- 2.1 pg ml-1 and 32.6 +/- 14.6 pg ml-1, respectively). Interestingly, when samples were hydrolysed using Helix pomatia glucuronidase the RCBA gave concentrations (29.5 +/- 8.9 pg ml-1) not significantly different to those obtained by RIA. These preliminary findings suggest that a substantial proportion of plasma oestrogen during the pre-ovulatory period may be conjugated. These data indicate the potential of the RCBA to measure biologically active and physiological levels of plasma oestrogens in cattle. One potentially valuable application of this generic oestrogen assay could be in surveillance programmes to detect illegal use of anabolic oestrogens in live-stock where the identity of the analyte may be unknown.     

Manipulation of the stereochemical outcome and product distribution in the Henry reaction using CO2 pressure

The rate and stereocontrol of the Henry reaction in the presence of CO(2) can be controlled simply by manipulation of CO(2) pressure, and can be understood by consideration of the kinetic and thermodynamic aspects of the reaction.