Limit theorems for nondegenerate U-statistics of continuous semimartingales

This paper presents the asymptotic theory for nondegenerate U-statistics of high frequency observations of continuous Itô semimartingales. We prove uniform convergence in probability and show a functional stable central limit theorem for the standardized version of the U-statistic. The limiting process in the central limit theorem turns out to be conditionally Gaussian with mean zero. Finally, we indicate potential statistical applications of our probabilistic results.

First continuous phosphate record from Greenland ice cores

A continuous and highly sensitive absorption method for detection of soluble phosphate in ice cores has been developed using a molybdate reagent and a 2m liquid waveg- uide (LWCC). The method is optimized to meet the low concentrations of phosphate in Greenland ice, it has a detection limit of around 0.1ppb and a depth resolution of approximately 2cm. The new method has been applied to obtain phosphate concen- trations from segments of two Northern Greenland ice cores: from a shallow firn core covering the most recent 120yr and from the recently obtained deep NEEM ice core in which sections from the late glacial period have been analysed. Phosphate con- centrations in 20th century ice are around 0.32ppb with no indication of anthropogenic influence in the most recent ice. In the glacial part of the NEEM ice core concentra- tions in the cold stadial periods are significantly higher, in the range of 6–24ppb, while interstadial ice concentrations are around 2ppb. In the shallow firn core, a strong cor- relation between concentrations of phosphate and insoluble dust suggests a similar deposition pattern for phosphate and dust. In the glacial ice, phosphate and dust also correlate quite strongly, however it is most likely that this correlation originates from the phosphate binding to dust during transport, with only a fraction coming directly from dust. Additionally a constant ratio between phosphate and potassium concentrations shows evidence of a possible biogenic land source.

Theileria parva-transformed T cells show enhanced resistance to Fas/Fas ligand-induced apoptosis

Lymphocyte homeostasis is regulated by mechanisms that control lymphocyte proliferation and apoptosis. Activation-induced cell death is mediated by the expression of death ligands and receptors, which, when triggered, activate an apoptotic cascade. Bovine T cells transformed by the intracellular parasite Theileria parva proliferate in an uncontrolled manner and undergo clonal expansion. They constitutively express the death receptor Fas and its ligand, FasL but do not undergo apoptosis. Upon elimination of the parasite from the host cell by treatment with a theilericidal drug, cells become increasingly sensitive to Fas/FasL-induced apoptosis. In normal T cells, the sensitivity to death receptor killing is regulated by specific inhibitor proteins. We found that anti-apoptotic proteins such as cellular (c)-FLIP, which functions as a catalytically inactive form of caspase-8, and X-chromosome-linked inhibitor of apoptosis protein (IAP) as well as c-IAP, which can block downstream executioner caspases, are constitutively expressed in T. parva-transformed T cells. Expression of these proteins is rapidly down-regulated upon parasite elimination. Antiapoptotic proteins of the Bcl-2 family such as Bcl-2 and Bcl-x(L) are also expressed but, in contrast to c-FLIP, c-IAP, and X-chromosome-linked IAP, do not appear to be tightly regulated by the presence of the parasite. Finally, we show that, in contrast to the situation in tumor cells, the phosphoinositide 3-kinase/Akt pathway is not essential for c-FLIP expression. Our findings indicate that by inducing the expression of antiapoptotic proteins, T. parva allows the host cell to escape destruction by homeostatic mechanisms that would normally be activated to limit the continuous expansion of a T cell population.

Induction of tachyzoite egress from cells infected with the protozoan Neospora caninum by nitro- and bromo-thiazolides, a class of broad-spectrum anti-parasitic drugs

Neospora caninum represents an important pathogen causing stillbirth and abortion in cattle and neuromuscular disease in dogs. Nitazoxanide (NTZ) and its deacetylated metabolite tizoxanide (TIZ) are nitro-thiazolyl-salicylamide drugs with a broad-spectrum anti-parasitic activity in vitro and in vivo. In order to generate compounds potentially applicable in food and breeding animals, the nitro group was removed, and the thiazole-moiety was modified by other functional groups. We had shown earlier that replacement of the nitro-group by a bromo-moiety did not notably affect in vitro efficacy of the drugs against N. caninum. In this study we report on the characterization of two bromo-derivatives, namely Rm4822 and its de-acetylated putative metabolite Rm4847 in relation to the nitro-compounds NTZ and TIZ. IC(50) values for proliferation inhibition were 4.23 and 4.14 microM for NTZ and TIZ, and 14.75 and 13.68 microM for Rm4822 and Rm4847, respectively. Complete inhibition (IC(99)) was achieved at 19.52 and 22.38 microM for NTZ and TIZ, and 18.21 and 17.66 microM for Rm4822 and Rm4847, respectively. However, in order to exert a true parasiticidal effect in vitro, continuous culture of infected fibroblasts in the presence of the bromo-thiazolide Rm4847 was required for a period of 3 days, while the nitro-compound TIZ required 5 days continuous drug exposure. Both thiazolides induced rapid egress of N. caninum tachyzoites from their host cells, and egress was inhibited by the cell membrane permeable Ca(2+)-chelator BAPTA-AM. Host cell entry by N. caninum tachyzoites was inhibited by Rm4847 but not by TIZ. Upon release from their host cells, TIZ-treated parasites remained associated with the fibroblast monolayer, re-invaded neighboring host cells and resumed proliferation in the absence of the drug. In contrast, Rm4847 inhibited host cell invasion and respective treated tachyzoites did not proliferate further. This demonstrated that bromo- and nitro-thiazolides exhibit differential effects against the intracellular protozoan N. caninum and bromo-thiazolides could represent a valuable alternative to the nitro-thiazolyl-salicylamide drugs.

A technique for continuous detection of drill liquid in ice cores

When drilling ice cores deeper than ∼100 m, drill liquid is required to maintain ice-core quality and to limit borehole closure. Due to high-pressure air bubbles in the ice, the ice core can crack during drilling and core retrieval, typically at 600–1200 m depth in Greenland. Ice from this 'brittle zone' can be contaminated by drill liquid as it seeps through cracks into the core. Continuous flow analysis (CFA) systems are routinely used to analyse ice for chemical impurities, so the detection of drill liquid is important for validating accurate measurements and avoiding potential instrument damage. An optical detector was constructed to identify drill liquid in CFA tubing by ultraviolet absorption spectroscopy at a wavelength of 290 nm. The set-up was successfully field-tested in the frame of the NEEM ice-core drilling project in Greenland. A total of 27 cases of drill liquid contamination were identified during the analysis of 175 m of brittle zone ice. The analyses most strongly affected by drill liquid contamination include insoluble dust particles, electrolytic conductivity, ammonium, hydrogen peroxide and sulphate. This method may also be applied to other types of drill liquid used at other drill sites.

The response of four winter wheat (Triticum aestivum L.) varieties to field water deficit: leaf anti-oxidative protection and proteolytic activity

Introduction: Drought is one of the most significant factors that limit plant productivity. Oxidative stress is a secondary event in many unfavorable environmental conditions. Intracellular proteases have a role in the metabolism reorganisation and nutrient remobilization under stress. In order to under stand the relative significance of oxidative stress and proteolysis in the yield reduction under drought, four varieties of Triticum aestivum L. with different field drought resistance were examined. Methods: A two-year field experiment was conducted. Analyses were performed on the upper most leaf of control plants and plants under water deficitat the stages most critical for yield reduction under drought (from jointing till milk ripeness). Leaf water deficit and electrolyte leakage, malondyaldehyde level, activities and isoenzymes of superoxide dismutase, catalase and peroxidase, leaf protein content and proteolytic activity were studied. Yield components were analyzed. Results: A general trend of increasing the membrane in stability and accumulation of lipid hydroperoxides was observed with some differences among varieties, especially under drought. The anti-oxidative enzyme activities were progressively enhanced, as well as the azocaseinolytic activities. The leaf protein content decreased under drought at the last phase. Differences among varieties were observed in the parameters under study. They were compared to yield components` reduction under water deprivation.

Towards the continuum limit in transport coefficient computations

The analytic continuation needed for the extraction of transport coefficients necessitates in principle a continuous function of the Euclidean time variable. We report on progress towards achieving the continuum limit for 2-point correlator measurements in thermal SU(3) gauge theory, with specific attention paid to scale setting. In particular, we improve upon the determination of the critical lattice coupling and the critical temperature of pure SU(3) gauge theory, estimating r0Tc ≃ 0.7470(7) after a continuum extrapolation. As an application the determination of the heavy quark momentum diffusion coefficient from a correlator of colour-electric fields attached to a Polyakov loop is discussed.

Multifractional Poisson process, multistable subordinator and related limit theorems

We introduce a multistable subordinator, which generalizes the stable subordinator to the case of time-varying stability index. This enables us to define a multifractional Poisson process. We study properties of these processes and establish the convergence of a continuous-time random walk to the multifractional Poisson process.

Can IBEX detect interstellar neutral helium or oxygen from anti-ram directions?

To better constrain the parameters of the interstellar neutral flow, we searched the Interstellar Boundary EXplorer (IBEX)-Lo database for helium and oxygen from the interstellar medium in the anti-ram direction in the three years (2009-2011) with the lowest background rates. We found that IBEX-Lo cannot observe interstellar helium from the anti-ram direction because the helium energy is too low for indirect detection by sputtering off the IBEX-Lo conversion surface. Our results show that this sputtering process has a low energy threshold between 25 and 30 eV, whereas the energy of the incident helium is only 10 eV for these observations. Interstellar oxygen, on the other hand, could in principle be detected in the anti-ram hemisphere, but the expected magnitude of the signal is close to the detection limit imposed by counting statistics and by the magnetospheric foreground.

Retinal ganglion cell layer change in patients treated with anti-VEGF for neovascular age related macular degeneration.

PURPOSE To evaluate macular retinal ganglion cell thickness in patients with neovascular age-related macular degeneration (AMD) and intravitreal anti-vascular endothelial growth factor (VEGF) therapy. DESIGN Retrospective case series with fellow-eye comparison METHODS: Patients with continuous unilateral anti-VEGF treatment for sub- and juxtafoveal neovascular AMD and a minimum follow-up of 24 months were included. The retinal nerve fiber (RNFL) and retinal ganglion cell layer (RGCL) in the macula were segmented using an ETDRS grid. RNFL and RGCL thickness of the outer ring of the ETDRS grid were quantified at baseline and after repeated anti-VEGF injections, and compared to the patients' untreated fellow eye. Furthermore, best-corrected visual acuity (BCVA), age, and retinal pigment epithelium (RPE) atrophy were recorded and correlated with RNFL and RGCL. RESULTS Sixty eight eyes of 34 patients (23 female and 11 male; mean age 76.7 (SD±8.2) with a mean number of 31.5 (SD ±9.8) anti-VEGF injections and a mean follow-up period of 45.3 months (SD±10.5) were included. Whereas the RGCL thickness decreased significantly compared to the non-injected fellow eye (p=0.01) the decrease of the RNFL was not significant. Visual acuity gain was significantly correlated with RGCL thickness (r=0.52, p<0.05) at follow-up and negatively correlated (r=-0.41, p<0.05) with age. Presence of RPE atrophy correlated negatively with the RGCL thickness at follow-up (r= -0.37, p=0.03). CONCLUSION During the course of long term anti-VEGF therapy there is a significant decrease of the RGCL in patients with neovascular AMD to the fellow (untreated) eye.