Evaluation of binomial double sums involving absolute values

We show that double sums of the form $$\sum_{i,j=-n} ^{n} |i^sj^t(i^k-j^k)^\beta| \binom {2n} {n+i} \binom {2n} {n+j}$$ can always be expressed in terms of a linear combination of just four functions, namely $\binom {4n}{2n}$, ${\binom {2n}n}^2$, $4^n\binom {2n}n$, and $16^n$, with coefficients that are rational in $n$. We provide two different proofs: one is algorithmic and uses the second author's computer algebra package Sigma; the second is based on complex contour integrals. In many instances, these results are extended to double sums of the above form where $\binom {2n}{n+j}$ is replaced by $\binom {2m}{m+j}$ with independent parameter $m$.Comment: AmS-LaTeX, 42 pages; substantial revision: several additional and more general results, see Proposition 11 and Theorems 15-1

Natural Orifice Surgery (NOS) Using StomaphyX™ for Repair of Gastric Leaks after Bariatric Revisions

Gastric leaks represent serious complications of bariatric surgery. With the increasing popularity and performance of bariatric procedures, the incidence of leaks and associated complications are expected to increase. Minimally invasive natural orifice surgery represents a novel and promising approach to gastric leak management, especially for morbidly obese patients who are at much higher risk from open or laparoscopic surgical procedures. The present article reports two cases of the safe and successful use of the EndoGastric Solutions StomaphyX™ device to alter the flow of gastric contents and repair gastric leaks resulting from bariatric revision surgery. Both patients were at a high risk and could not undergo another open or laparoscopic surgery to correct the leaks that were not healing. The StomaphyX procedures lasted approximately 30 min, were performed without any complications, and resulted in the resolution of the gastric leaks in both patients

Elementary Forms of the Metaphorical Life : Tropes at Work in Durkheim’s Theory of the Religious

Peer reviewedPostprin

Ocean temperature and salinity components of the Madden-Julian oscillation observed by Argo floats

New diagnostics of the Madden-Julian Oscillation (MJO) cycle in ocean temperature and, for the first time, salinity are presented. The MJO composites are based on 4 years of gridded Argo float data from 2003 to 2006, and extend from the surface to 1,400 m depth in the tropical Indian and Pacific Oceans. The MJO surface salinity anomalies are consistent with precipitation minus evaporation fluxes in the Indian Ocean, and with anomalous zonal advection in the Pacific. The Argo sea surface temperature and thermocline depth anomalies are consistent with previous studies using other data sets. The near-surface density changes due to salinity are comparable to, and partially offset, those due to temperature, emphasising the importance of including salinity as well as temperature changes in mixed-layer modelling of tropical intraseasonal processes. The MJO-forced equatorial Kelvin wave that propagates along the thermocline in the Pacific extends down into the deep ocean, to at least 1,400 m. Coherent, statistically significant, MJO temperature and salinity anomalies are also present in the deep Indian Ocean

Searches for Long Lived Neutral Particles

An intriguing possibility for TeV scale physics is the existence of neutral long lived particles (LOLIPs) that subsequently decay into SM states. Such particles are many cases indistinguishable from missing transverse energy (MET) at colliders. We propose new methods to search for these particles using neutrino telescopes. We study their detection prospects, assuming production either at the LHC or through dark matter (DM) annihilations in the Sun and the Earth. We find that the sensitivity for LOLIPs produced at the LHC is limited by luminosity and detection energy thresholds. On the other hand, in the case of DM annihilation into LOLIPs, the sensitivity of neutrino telescopes is promising and may extend beyond the reach of upcoming direct detection experiments. In the context of low scale hidden sectors weakly coupled to the SM, such indirect searches allow to probe couplings as small as 10^-15.Comment: 22 pages, 6 figure

From evidence to best practice in the management of fractures of the distal radius in adults: working towards a research agenda

BACKGROUND: Fracture of the distal radius is a common clinical problem, particularly in older white women with osteoporosis. We report our work towards evidence-based and patient-centred care for adults with these injuries. METHODS: We developed a systematic programme of research that built on our systematic review of the evidence of effectiveness of treatment interventions for these fractures. We devised schemata showing 'typical' care pathways and identified over 100 patient management questions. These depicted the more important decisions taken when progressing along each care pathway. We compiled a comprehensive document summarising the evidence available for each decision point from our reviews of randomised trials of treatment interventions. Using these documents, we undertook a formal and structured consultation process involving key players, including a patient representative, to obtain their views on the available evidence and to establish a research agenda. The resulting feedback was then processed and interpreted, using systematic methods. RESULTS: Some evidence from 114 randomised trials was available for 31 of the 117 patient management questions. However, there was sufficient evidence to base some conclusions of effectiveness for particular interventions in only five of these. Though only 60% of those approached responded, the responses received from the consultation group were often comprehensive and provided important insights into treatment practice and policy. There was a clear acceptance of the aims of the project and, aside from some suggestions for the more explicit inclusion of secondary prevention and management of complications, of the care pathways scheme. Though some respondents stressed that randomised trials were not always appropriate, there was no direct overall criticism of the evidence document and underlying processes. We were able to identify important core themes that underpin management decisions and research from the feedback of the consultation exercise. CONCLUSIONS: Overall, this project is an important advance towards evidence-based and patient-centred management of adults with distal radial fractures. It exposes the serious deficiency in the available evidence but also provides a template for further action. As well as being a valuable basis for viewing and informing current practice, the insights gained from this project should inform a future research agenda

Phenoloxidase activity acts as a mosquito innate immune response against infection with semliki forest virus

Several components of the mosquito immune system including the RNA interference (RNAi), JAK/STAT, Toll and IMD pathways have previously been implicated in controlling arbovirus infections. In contrast, the role of the phenoloxidase (PO) cascade in mosquito antiviral immunity is unknown. Here we show that conditioned medium from the Aedes albopictus-derived U4.4 cell line contains a functional PO cascade, which is activated by the bacterium Escherichia coli and the arbovirus Semliki Forest virus (SFV) (Togaviridae; Alphavirus). Production of recombinant SFV expressing the PO cascade inhibitor Egf1.0 blocked PO activity in U4.4 cell- conditioned medium, which resulted in enhanced spread of SFV. Infection of adult female Aedes aegypti by feeding mosquitoes a bloodmeal containing Egf1.0-expressing SFV increased virus replication and mosquito mortality. Collectively, these results suggest the PO cascade of mosquitoes plays an important role in immune defence against arboviruses