Studying Wythoff and Zometool Constructions using Maple

We describe a Maple package that serves at least four purposes. First, one can use it to compute whether or not a given polyhedral structure is Zometool constructible. Second, one can use it to manipulate Zometool objects, for example to determine how to best build a given structure. Third, the package allows for an easy computation of the polytopes obtained by the kaleiodoscopic construction called the Wythoff construction. This feature provides a source of multiple examples. Fourth, the package allows the projection on Coxeter planesComment: 11 pages, 11 figure

The effect of nurse case coordination on management of chronic conditions

A clinical decision report using: Ishani A, Greer N, Taylor BC, et al. Effect of nurse case management compared with usual care on controlling cardiovascular risk factors in patients with diabetes: a randomized controlled trial. Diabetes Care. 2011;34(8):1689-1694. https://doi.org/10.2337/dc10-2121 for a patient requiring care coordination for management of hypertension, diabetes, and hyperlipidemia

System-state-free false data injection attack for nonlinear state estimation in smart grid

published_or_final_versio

Regular Incidence Complexes, Polytopes, and C-Groups

Regular incidence complexes are combinatorial incidence structures generalizing regular convex polytopes, regular complex polytopes, various types of incidence geometries, and many other highly symmetric objects. The special case of abstract regular polytopes has been well-studied. The paper describes the combinatorial structure of a regular incidence complex in terms of a system of distinguished generating subgroups of its automorphism group or a flag-transitive subgroup. Then the groups admitting a flag-transitive action on an incidence complex are characterized as generalized string C-groups. Further, extensions of regular incidence complexes are studied, and certain incidence complexes particularly close to abstract polytopes, called abstract polytope complexes, are investigated.Comment: 24 pages; to appear in "Discrete Geometry and Symmetry", M. Conder, A. Deza, and A. Ivic Weiss (eds), Springe

Bats and their endoparasites : characterising pipistrelle infections and toll-like receptor (TLR2 and TLR4) gene variations

Bats are unique mammals since they are able to fly and due to their crucial ecosystem roles, they are designated as keystone species. However, in many parts of the world, it is difficult to study bats due to the existence of protective legislation caused by their threatened status. Consequently, bat endoparasite studies are limited and even less is known about the bat immune system. To address this paucity of knowledge, this study was conducted using 99 pipistrelle bats (Pipistrellus pipistrellus, n=93 and P. pygmaeus, n=6 bats) that were obtained opportunistically from the Greater Manchester and Lancashire region between September 2005 and September 2008. These bats were infected with several species of helminths and protozoan parasites as previously described (Lord, 2010; Dodd et al., 2014). The data within this thesis describes further characterisation of the protozoan infections in this pipistrelle population through development of PCR-based molecular typing tools. This approach has allowed the molecular differentiation between Trypanosoma dionisii and T. vespertilionis infections, confirmed that all eimerian infections were caused by Eimeria rioarribaensis and also confirmed that Bartonella sp. infection is most likely to be non-zoonotic. In addition, Cryptosporidium sp. and Borrelia sp. infection data is presented; the former being the first report in a UK bat. Analysis of the infection profiles with respect to bat genotyping data (Dodd et al., 2014) shows that the parasites are randomly distributed with the exception of the E. rioarribaensis infections which appear to cluster in a sub-population of pipistrelles that are genetically more homogeneous. Since Toll-like receptors (TLRs) are an important element of the mammalian innate immune system, a PCR strategy was developed to isolate TLR4 and TLR2 genes from the pipistrelle bats (n=59). The TLR4 sequences were highly variable at the amino acid level (haplotypes, n=42), and a phylogenetic analysis of the protein sequences showed that they clustered into 7 major groups. Analysis of infection profiles in these bats showed that two TLR4 clusters appeared to correlate with susceptibility to trypanosomes (cluster 6) and Toxoplasma gondii (cluster 3). In addition, bats in TLR4 cluster 6 had a significantly reduced helminth burden. The TLR2 sequences were more conserved at the amino acid level (haplotypes, n=5); however, 7 bats were heterozygous at the TLR2 locus and interestingly, these correlated with a significantly reduced helminth burden. Overall, this thesis highlights the difficulty of studying bat endoparasites and this is often confounded by the lack, or absence, of parasitic material to assist developing molecular-based tools. Despite this difficulty, interesting data have been generated with respect to the pipistrelle genetics, including Toll-like receptor variations, and eimerian, trypanosome, T. gondii and helminth infection profiles, and this is worthy of further detailed investigations

Interventionist versus expectant care for severe pre-eclampsia between 24 and 34 weeks' gestation

This is an article published by Wiley/Cochrane Collaboration in Cochrane Database of Systematic Reviews on 05/10/2018, available on the publisher's website: https://doi.org/10.1002/14651858.CD003106.pub3© 2018 The Cochrane Collaboration. Background: Severe pre-eclampsia can cause significant mortality and morbidity for both mother and child, particularly when it occurs remote from term, between 24 and 34 weeks' gestation. The only known cure for this disease is delivery. Some obstetricians advocate early delivery to ensure that the development of serious maternal complications, such as eclampsia (fits) and kidney failure are prevented. Others prefer a more expectant approach, delaying delivery in an attempt to reduce the mortality and morbidity for the child that is associated with being born too early. Objectives: To evaluate the comparative benefits and risks of a policy of early delivery by induction of labour or by caesarean section, after sufficient time has elapsed to administer corticosteroids, and allow them to take effect; with a policy of delaying delivery (expectant care) for women with severe pre-eclampsia between 24 and 34 weeks' gestation. Search methods: For this update, we searched Cochrane Pregnancy and Childbirth's Trials Register, ClinicalTrials.gov, the WHO International Clinical Trials Registry Platform (ICTRP) on 27 November 2017, and reference lists of retrieved studies. Selection criteria: Randomised trials comparing the two intervention strategies for women with early onset, severe pre-eclampsia. Trials reported in an abstract were eligible for inclusion, as were cluster-trial designs. We excluded quasi-randomised trials. Data collection and analysis: Three review authors independently assessed trials for inclusion and risk of bias, extracted data, and checked them for accuracy. We assessed the quality of the evidence for specified outcomes using the GRADE approach. Main results: We included six trials, with a total of 748 women in this review. All trials included women in whom there was no overriding indication for immediate delivery in the fetal or maternal interest. Half of the trials were at low risk of bias for methods of randomisation and allocation concealment; and four trials were at low risk for selective reporting. For most other domains, risk of bias was unclear. There were insufficient data for reliable conclusions about the comparative effects on most outcomes for the mother. Two studies reported on maternal deaths; neither study reported any deaths (two studies; 320 women; low-quality evidence). It was uncertain whether interventionist care reduced eclampsia (risk ratio (RR) 0.98, 95% confidence interval (CI) 0.06 to 15.58; two studies; 359 women) or pulmonary oedema (RR 0.45, 95% CI 0.07 to 3.00; two studies; 415 women), because the quality of the evidence for these outcomes was very low. Evidence from two studies suggested little or no clear difference between the interventionist and expectant care groups for HELLP (haemolysis, elevated liver enzymes, and low platelets) syndrome (RR 1.09, 95% CI 0.62 to 1.91; two studies; 359 women; low-quality evidence). No study reported on stroke. With the addition of data from two studies for this update, there was now evidence to suggest that interventionist care probably made little or no difference to the incidence of caesarean section (average RR 1.01, 95% CI 0.91 to 1.12; six studies; 745 women; Heterogeneity: Tau2; = 0.01; I2; = 63%). For the baby, there was insufficient evidence to draw reliable conclusions about the effects on perinatal deaths (RR 1.11, 95% CI 0.62 to 1.99; three studies; 343 women; low-quality evidence). Babies whose mothers had been allocated to the interventionist group had more intraventricular haemorrhage (RR 1.94, 95% CI 1.15 to 3.29; two studies; 537 women; moderate-quality evidence), more respiratory distress caused by hyaline membrane disease (RR 2.30, 95% CI 1.39 to 3.81; two studies; 133 women), required more ventilation (RR 1.50, 95% CI 1.11 to 2.02; two studies; 300 women), and were more likely to have a lower gestation at birth (mean difference (MD) -9.91 days, 95% CI -16.37 to -3.45 days; four studies; 425 women; Heterogeneity: Tau2; = 31.74; I2; = 76%). However, babies whose mothers had been allocated to the interventionist group were no more likely to be admitted to neonatal intensive care (average RR 1.19, 95% CI 0.89 to 1.60; three studies; 400 infants; Heterogeneity: Tau2; = 0.05; I2; = 84%). Babies born to mothers in the interventionist groups were more likely to have a longer stay in the neonatal intensive care unit (MD 7.38 days, 95% CI -0.45 to 15.20 days; three studies; 400 women; Heterogeneity: Tau2; = 40.93, I2; = 85%) and were less likely to be small-for-gestational age (RR 0.38, 95% CI 0.24 to 0.61; three studies; 400 women). There were no clear differences between the two strategies for any other outcomes. Authors' conclusions: This review suggested that an expectant approach to the management of women with severe early onset pre-eclampsia may be associated with decreased morbidity for the baby. However, this evidence was based on data from only six trials. Further large, high-quality trials are needed to confirm or refute these findings, and establish if this approach is safe for the mother.Published versio

Ultrametric spaces of branches on arborescent singularities

Let $S$ be a normal complex analytic surface singularity. We say that $S$ is arborescent if the dual graph of any resolution of it is a tree. Whenever $A,B$ are distinct branches on $S$, we denote by $A \cdot B$ their intersection number in the sense of Mumford. If $L$ is a fixed branch, we define $U_L(A,B)= (L \cdot A)(L \cdot B)(A \cdot B)^{-1}$ when $A \neq B$ and $U_L(A,A) =0$ otherwise. We generalize a theorem of P{\l}oski concerning smooth germs of surfaces, by proving that whenever $S$ is arborescent, then $U_L$ is an ultrametric on the set of branches of $S$ different from $L$. We compute the maximum of $U_L$, which gives an analog of a theorem of Teissier. We show that $U_L$ encodes topological information about the structure of the embedded resolutions of any finite set of branches. This generalizes a theorem of Favre and Jonsson concerning the case when both $S$ and $L$ are smooth. We generalize also from smooth germs to arbitrary arborescent ones their valuative interpretation of the dual trees of the resolutions of $S$. Our proofs are based in an essential way on a determinantal identity of Eisenbud and Neumann.Comment: 37 pages, 16 figures. Compared to the first version on Arxiv, il has a new section 4.3, accompanied by 2 new figures. Several passages were clarified and the typos discovered in the meantime were correcte

Categorification of a linear algebra identity and factorization of Serre functors

We provide a categorical interpretation of a well-known identity from linear algebra as an isomorphism of certain functors between triangulated categories arising from finite dimensional algebras. As a consequence, we deduce that the Serre functor of a finite dimensional triangular algebra A has always a lift, up to shift, to a product of suitably defined reflection functors in the category of perfect complexes over the trivial extension algebra of A.Comment: 18 pages; Minor changes, references added, new Section 2.