Explicit description of spherical rigid hypersurfaces in C²

a

Invariants of elliptic and hyperbolic CR-structures of codimension 2

We reduce CR-structures on smooth elliptic and hyperbolic manifolds of CR-codimension 2 to parallelisms thus solving the problem of global equivalence for such manifolds. The parallelism that we construct is defined on a sequence of two principal bundles over the manifold, takes values in the Lie algebra of infinitesimal automorphisms of the quadric corresponding to the Levi form of the manifold, and behaves ``almost'' like a Cartan connection. The construction is explicit and allows us to study the properties of the parallelism as well as those of its curvature form. It also leads to a natural class of ``semi-flat'' manifolds for which the two bundles reduce to a single one and the parallelism turns into a true Cartan connection. In addition, for real-analytic manifolds we describe certain local normal forms that do not require passing to bundles, but in many ways agree with the structure of the parallelism.Comment: 42 pages, see also http://wwwmaths.anu.edu.au/research.reports/97mrr.htm

RECENT ADVANCES IN THE APPLICATION OF HIGH DOSES OF ATORVASTATIN IN PATIENTS WITH CORONARY HEART DISEASE

The results of the recently completed clinical studies on the efficacy of atorvastatin in high doses are presented. In these studies high dose atorvastatin therapy was used in patients with acute coronary syndrome, chronic coronary heart disease, and percutaneous coronary interventions. Studies completed in Russia and devoted to efficacy of the high dose atorvastatin therapy are discussed specially

Development of electrochemical sensor based on aptamer specific to lung cancer tumor marker

Electrochemical aptasensor is a sensor based on an indicator electrode covered with a layer of an aptamer that is able to bind target molecules with high specificity. In this work, DNA-aptamer LC-2108 specific to lung cancer tumor marker was immobilized onto the surface of golden screen-printed and disc electrodes. The electrodes were studied by conventional electrochemical methods–cyclic voltammetry and electrochemical impedance spectroscopy. The current increase and electron transfer resistance decrease were registered. It seems as if the aptamer presence facilitated the electron transfer through the electrode-solution boundary. As the possible reasons of such an unusual electrochemical behavior we proposed the unordinary or irregular structure of the aptamer layer on the Au surface or the specific electrochemical properties of the aptamer itself