Large deviations for heavy-tailed random elements in convex cones

We prove large deviation results for sums of heavy-tailed random elements in rather general convex cones being semigroups equipped with a rescaling operation by positive real numbers. In difference to previous results for the cone of convex sets, our technique does not use the embedding of cones in linear spaces. Examples include the cone of convex sets with the Minkowski addition, positive half-line with maximum operation and the family of square integrable functions with arithmetic addition and argument rescaling.

First foot prints of chemistry on the shore of the Island of Superheavy Elements

Chemistry has arrived on the shore of the Island of Stability with the first chemical investigation of the superheavy elements Cn, 113, and 114. The results of three experimental series leading to first measured thermodynamic data and qualitatively evaluated chemical properties for these elements are described. An interesting volatile compound class has been observed in the on-line experiments for the elements Bi and Po. Hence, an exciting chemical study of their heavier transactinide homologues, elements 115 and 116 is suggested.

Prediction of the thermal release of transactinide elements (112 ≤ Z ≤ 116) from metals

Metallic catcher foils have been investigated on their thermal release capabilities for future superheavy element studies. These catcher materials shall serve as connection between production and chemical investigation of superheavy elements (SHE) at vacuum conditions. The diffusion constants and activation energies of diffusion have been extrapolated for various catcher materials using an atomic volume based model. Release rates can now be estimated for predefined experimental conditions using the determined diffusion values. The potential release behavior of the volatile SHE Cn (E112), E113, Fl (E114), E115, and Lv (E116) from polycrystalline, metallic foils of Ni, Y, Zr, Nb, Mo, Hf, Ta, and W is predicted. Example calculations showed that Zr is the best suited material in terms of on-line release efficiency and long-term operation stability. If higher temperatures up to 2773 K are applicable, tungsten is suggested to be the material of choice for such experiments.

Surface-patterned micromechanical elements by polymer injection molding with hybrid molds

Hybrid molds enable the fabrication of polymeric parts with features of different length scales by injection molding. The resulting polymer microelements combine optical or biological functionalities with designed mechanical properties. Two applications are chosen for illustration of this concept: As a first example, microelements for optical communication via fiber-to-fiber coupling are manufactured by combining two molds to a small mold insert. Both molds are fabricated using lithography and electroplating. As a second example, microcantilevers (μCs) for chemical sensing are surface patterned using a modular mold composed of a laser-machined cavity defining the geometry of the μCs, and an opposite flat tool side which is covered by a patterned polymer foil. Injection molding results in an array of 35 μm-thick μCs with microscale surface topographies. In both cases, when the mold is assembled and closed, reliefs are transferred onto one surface of the molded element whose outlines are defined by the micromold cavity. The main advantage of these hybrid methods lies in the simple integration of optical surface structures and gratings onto the surface of microcomponents with different sizes and orientations. This allows for independent development of functional properties and combinations thereof.

The functional and structural interactions between v-{\it mos\/} proteins and cell cycle control elements

The v-mos gene of Moloney murine sarcoma virus (Mo-MuSv) encodes a serine/threonine protein kinase capable of inducing cellular transformation. The c-mos protein is an important cell cycle regulator that functions during meiotic cell division cycles in germ cells. The overall function of c-mos in controlling meiosis is becoming better understood but the role of v-mos in malignant transformation of cells is largely unknown.^ In this study, v-mos protein was shown to be phosphorylated by M phase kinase in vitro and in vivo. The kinase activity and neoplastic transforming ability of v-mos is positively regulated by the phosphorylation. Together with the earlier finding of activation of M phase kinase by c-mos, these results raise the possibility of mutual regulation between M phase kinase and mos kinases.^ In addition to its functional interaction with the M phase kinase, the v-mos protein was shown to be present in the same protein complex with a cyclin-dependent kinase (cdk). In addition, an antibody that recognizes the cdk proteins was shown to co-precipitate the v-mos proteins in the interphase and mitotic cells transformed by p85$\sp{\rm gag-mos}$. Cdk proteins have been shown to be associated with nonmitotic cyclins which are potential oncogenes. The perturbation of cdk kinase or the activation of non-mitotic cyclins as oncogenes by v-mos could contribute directly to v-mos induced cellular transformation. v-mos proteins were also shown to interact with tubulin and vimentin, the essential components of microtubules and type IV intermediate filaments, respectively. The organizations of both microtubules and intermediate filaments are cell cycle-regulated. These results suggest that the v-mos kinase could be directly involved in inducing morphological changes typically seen in transformed cells.^ The interactions between the v-mos protein and these cell cycle control elements in regards to v-mos induced neoplastic transformation are discussed in detail in the text. ^

Identification of two vitamin D response elements in the rat osteopontin gene

Studies to elucidate the function of vitamin D have demonstrated an important role in regulating bone-related cells, including osteoblasts and osteoclasts. A seemingly paradoxical observation is that 1,25(OH)$\sb2$D$\sb3$, the active metabolite of vitamin D, stimulates bone resorption, yet regulates transcription of genes expressed by osteoblasts. One mechanism that could explain these actions is the upregulation of transcription of osteoblast-specific genes. These gene products could then act as effectors to influence osteoclastic activity. We hypothesized that molecular signals could be deposited directly into the mineralized matrix in the form of noncollagenous proteins, such as osteopontin (OPN). The structure, biosynthesis and localization of OPN suggest that it could function to mediate the molecular "cross talk" between osteoblasts and osteoclasts in response to 1,25(OH)$\sb2$D$\sb3$. To begin to address this hypothesis, elucidation of the molecular mechanisms of action involved in the transactivation of OPN by 1,25(OH)$\sb2$D$\sb3$ is essential.^ In the present study, the rat opn gene was isolated and characterized. Functional analysis by transient transfection of the 5$\sp\prime$ flanking sequences of the rat opn gene fused to the luciferase gene demonstrated that OPN is transcriptionally upregulated by 1,25(OH)$\sb2$D$\sb3$, mediated through two vitamin D response elements (VDRE). Both proximal and distal VDREs are structurally similar (two imperfect direct repeats separated by a 3 nucleotide spacer) and bind protein complexes that include the VDR and retinoid-X receptor (RXR). Isolated VDRE expression constructs produce functional activity of equivalent magnitude of responsiveness to 1,25(OH)$\sb2$D$\sb3$. However, expression constructs containing either VDRE and at least 200 bp of 5$\sp\prime$ and 3$\sp\prime$ flanking sequence demonstrated that the distal VDRE produces an amplitude of response significantly higher than the proximal VDRE. We conclude that the transcriptional upregulation of the opn gene by 1,25(OH)$\sb2$D$\sb3$ involves the transactivation of two VDREs, while maximal responsiveness requires interaction of the VDREs with additional cis-elements contained in the 5$\sp\prime$ sequence. ^