A spacetime derivation of the Lorentzian OPE inversion formula

Caron-Huot has recently given an interesting formula that determines OPE data in a conformal field theory in terms of a weighted integral of the four-point function over a Lorentzian region of cross-ratio space. We give a new derivation of this formula based on Wick rotation in spacetime rather than cross-ratio space. The derivation is simple in two dimensions but more involved in higher dimensions. We also derive a Lorentzian inversion formula in one dimension that sheds light on previous observations about the chaos regime in the SYK model.Comment: 26 pages plus appendice

Prediction of Alternative Splice Sites in Human Genes

This thesis addresses the problem of predicting alternative splice sites in human genes. The most common way to identify alternative splice sites are the use of expressed sequence tags and microarray data. Since genes only produce alternative proteins under certain conditions, these methods are limited to detecting only alternative splice sites in genes whose alternative protein forms are expressed under the tested conditions. I have introduced three multiclass support vector machines that predict upstream and downstream alternative 3’ splice sites, upstream and downstream alternative 5’ splice sites, and the 3’ splice site of skipped and cryptic exons. On a test set extracted from the Alternative Splice Annotation Project database, I was able to correctly classify about 68% of the splice sites in the alternative 3’ set, about 62% of the splice sites in the alternative 5’ set, and about 66% in the exon skipping set

Prioritisation and Network Analysis of Crohn's Disease Susceptibility Genes

Recent Genome-Wide Association Studies (GWAS) have revealed numerous Crohn's disease susceptibility genes and a key challenge now is in understanding how risk polymorphisms in associated genes might contribute to development of this disease. For a gene to contribute to disease phenotype, its risk variant will likely adversely communicate with a variety of other gene products to result in dysregulation of common signaling pathways. A vital challenge is to elucidate pathways of potentially greatest influence on pathological behaviour, in a manner recognizing how multiple relevant genes may yield integrative effect. In this work we apply mathematical analysis of networks involving the list of recently described Crohn's susceptibility genes, to prioritise pathways in relation to their potential development of this disease. Prioritisation was performed by applying a text mining and a diffusion based method (GRAIL, GPEC). Prospective biological significance of the resulting prioritised list of proteins is highlighted by changes in their gene expression levels in Crohn's patients intestinal tissue in comparison with healthy donors.United States. Army Research Office (Institute for Collaborative Biotechnologies Contract W911NF-09-D-0001

Evolution of Sexual Dimorphism and Male Dimorphism in the Expression of Beetle Horns: Phylogenetic Evidence for Modularity, Evolutionary Lability, and Constraint

Beetle horns are enlarged outgrowths of the head or thorax that are used as weapons in contests over access to mates. Horn development is typically confined to males (sexual dimorphism) and often only to the largest males (male dimorphism). Both types of dimorphism result from endocrine threshold mechanisms that coordinate cell proliferation near the end of the larval period. Here, we map the presence/absence of each type of dimorphism onto a recent phylogeny for the genus Onthophagits (Coleoptera: Scarabaeidae) to explore how horn development has changed over time. Our results provide empirical support for several recent predictions regarding the evolutionary lability of developmental thresholds, including uncoupled evolution of alternative phenotypes and repeated fixation of phenotypes. We also report striking evidence of a possible developmental constraint. We show that male dimorphism and sexual dimorphism map together on the phylogeny; whenever small males have horns, females also have horns (and vice versa). We raise the possibility that correlated evolution of these two phenomena results from a shared element in their endocrine regulatory mechanisms rather than a history of common selection pressures. These results illustrate the type of insight that can be gained only from the integration of developmental and evolutionary perspectives

Predator versus Prey:Locust Looming-Detector Neuron and Behavioural Responses to Stimuli Representing Attacking Bird Predators

Many arthropods possess escape-triggering neural mechanisms that help them evade predators. These mechanisms are important neuroethological models, but they are rarely investigated using predator-like stimuli because there is often insufficient information on real predator attacks. Locusts possess uniquely identifiable visual neurons (the descending contralateral movement detectors, DCMDs) that are well-studied looming motion detectors. The DCMDs trigger ‘glides’ in flying locusts, which are hypothesised to be appropriate last-ditch responses to the looms of avian predators. To date it has not been possible to study glides in response to stimuli simulating bird attacks because such attacks have not been characterised. We analyse video of wild black kites attacking flying locusts, and estimate kite attack speeds of 10.8±1.4 m/s. We estimate that the loom of a kite’s thorax towards a locust at these speeds should be characterised by a relatively low ratio of half size to speed (l/|v|) in the range 4–17 ms. Peak DCMD spike rate and gliding response occurrence are known to increase as l/|v| decreases for simple looming shapes. Using simulated looming discs, we investigate these trends and show that both DCMD and behavioural responses are strong to stimuli with kite-like l/|v| ratios. Adding wings to looming discs to produce a more realistic stimulus shape did not disrupt the overall relationships of DCMD and gliding occurrence to stimulus l/|v|. However, adding wings to looming discs did slightly reduce high frequency DCMD spike rates in the final stages of object approach, and slightly delay glide initiation. Looming discs with or without wings triggered glides closer to the time of collision as l/|v| declined, and relatively infrequently before collision at very low l/|v|. However, the performance of this system is in line with expectations for a last-ditch escape response

Predictor of Turnover Intention of Register Nurses: Job Satisfaction or Work Engagement?

Both employee job satisfaction (JS) and employee work engagement (WE) have been examined as possible predictors of employees’ intention to voluntarily leave a specific job or company, known as turnover intention (TI). While the body of knowledge has grown concerning the nature of TI, there remains the unsettled question of which of the two concepts most accurately predicates TI. The high turnover rate of registered nurses (RNs) in hospitals in the U.S. presented an opportunity to examine if JS and WE predict, and to what degree, among RNs. For this quantitative correlational research probability sampling was used to identify 155 participants, all full-time registered nurses with 2 or more years of employment in New York hospitals. Data, obtained from surveys, were analyzed via multiple linear regression. The results revealed that only job satisfaction predicted turnover intention among the nurses sampled, F (5,154) = 12.008, p R2 = 287.The findings indicate that leaders of healthcare organizations, might lower nurse turnover intention by focusing on improving job satisfaction. Specifically, TI may be lower by addressing the issues identified from regular job satisfaction surveys, and by a greater emphasis on creating a more satisfying workplace. A more stable RN workforce could reduce healthcare disruptions in communities

A Practical Guide to Operator/ Surface-Owner Disputes and the Current State of the Accommodation Doctrine

This Article provides an overview of the operator\u27s rights and a practical guide to the procedures available to enforce them. Of particular emphasis, this Article will discuss how an operator can use injunctive relief to prevent surface-owner interference, and will specifically provide a checklist of sorts for how an operator can obtain a temporary restraining order. This Article will also address how the operator\u27s rights can be limited by the accommodation doctrine. In this regard, this Article will examine how the accommodation doctrine is triggered, what the surface owner must prove when asserting the accommodation doctrine, and whether the accommodation doctrine provides a mechanism for the surface owner to recover damages from the operator for unreasonable surface use

Threshold Evolution in Exotic Populations of a Polyphenic Beetle

Polyphenic development is thought to play an important role in the evolution of phenotypic diversity and morphological novelties, yet the evolution of polyphenisms has rarely been documented in natural populations. Here we compare the morphologies of male dung beetles (Onthophagus taurus; Coleoptera: Scarabaeidae) from populations introduced to Australia and the eastern United States. Males in this species express two alternative morphologies in response to larval feeding conditions. Males encountering favourable conditions grow larger than a threshold body size and develop a pair of horns on their heads, whereas males that encounter poor conditions do not reach this threshold size and remain hornless. Australian and US populations did not differ in overall body size ranges, but exhibited significant differences in the location of the critical body size threshold that separates alternative male morphs. Australian males remained hornless at much larger body sizes than males in US populations, resulting in substantial and significant differences in the average body size-horn length allometry between exotic populations, as well as significant differences in morph ratios. The phenotypic divergence observed between field populations was maintained in laboratory populations after two generations under identical environmental conditions, suggesting a genetic basis to allometric divergence in these populations. Divergence between exotic O. taurus populations was of a magnitude and kind typically observed between species. We use our results to examine potential causes of allometric divergence in onthophagine beetles, and discuss the evolutionary potential of threshold traits and polyphenic development in the origin of morphological and behavioural diversity