Forms of Coalgebras and Hopf Algebras

AbstractWe study forms of coalgebras and Hopf algebras (i.e., coalgebras and Hopf algebras which are isomorphic after a suitable extension of the base field). We classify all forms of grouplike coalgebras according to the structure of their simple subcoalgebras. For Hopf algebras, given a W*-Galois field extension K⊆L for W a finite-dimensional semisimple Hopf algebra and a K-Hopf algebra H, we show that all L-forms of H are invariant rings [L⊗H]W under appropriate actions of W on L⊗H. We apply this result to enveloping algebras, duals of finite-dimensional Hopf algebras, and adjoint actions of finite-dimensional semisimple cocommutative Hopf algebras

The Lights Out Game on Directed Graphs

We study a version of the lights out game played on directed graphs. For a digraph $D$, we begin with a labeling of $V(D)$ with elements of $\mathbb{Z}_k$ for $k \ge 2$. When a vertex $v$ is toggled, the labels of $v$ and any vertex that $v$ dominates are increased by 1 mod $k$. The game is won when each vertex has label 0. We say that $D$ is $k$-Always Winnable (also written $k$-AW) if the game can be won for every initial labeling with elements of $\mathbb{Z}_k$. We prove that all acyclic digraphs are $k$-AW for all $k$, and we reduce the problem of determining whether a graph is $k$-AW to the case of strongly connected digraphs. We then determine winnability for tournaments with a minimum feedback arc set that arc-induces a directed path or directed star digraph

Transcriptomes of parents identify parenting strategies and sexual conflict in a subsocial beetle

This work was funded by UK NERC grants to M.G.R. and A.J.M. an NERC studentship to D.J.P. the University of Georgia and a US NSF grant to A.J.M. and M.G.R.Parenting in the burying beetle Nicrophorus vespilloides is complex and, unusually, the sex and number of parents that can be present is flexible. Such flexibility is expected to involve specialized behaviour by the two sexes under biparental conditions. Here, we show that offspring fare equally well regardless of the sex or number of parents present. Comparing transcriptomes, we find a largely overlapping set of differentially expressed genes in both uniparental and biparental females and in uniparental males including vitellogenin, associated with reproduction, and takeout, influencing sex-specific mating and feeding behaviour. Gene expression in biparental males is similar to that in non-caring states. Thus, being ‘biparental’ in N. vespilloides describes the family social organization rather than the number of directly parenting individuals. There was no specialization; instead, in biparental families, direct male parental care appears to be limited with female behaviour unchanged. This should lead to strong sexual conflict.Publisher PDFPeer reviewe

On Two-Path Convexity in Multipartite Tournaments

Abstract In the context of two-path convexity, we study the rank, Helly number, Radon number, Caratheodory number, and hull number for multipartite tournaments. We show the maximum Caratheodory number of a multipartite tournament is 3. We then derive tight upper bounds for rank in both general multipartite tournaments and clone-free multipartite tournaments. We show that these same tight upper bounds hold for the Helly number, Radon number, and hull number. We classify all clone-free multipartite tournaments of maximum Helly number, Radon number, hull number, and rank. Finally we determine all convexly independent sets of clone-free multipartite tournaments of maximum rank

Telling partners about chlamydia: how acceptable are the new technologies?

BACKGROUND Partner notification is accepted as a vital component in the control of chlamydia. However, in reality, many sexual partners of individuals diagnosed with chlamydia are never informed of their risk. The newer technologies of email and SMS have been used as a means of improving partner notification rates. This study explored the use and acceptability of different partner notification methods to help inform the development of strategies and resources to increase the number of partners notified. METHODS Semi-structured telephone interviews were conducted with 40 people who were recently diagnosed with chlamydia from three sexual health centres and two general practices across three Australian jurisdictions. RESULTS Most participants chose to contact their partners either in person (56%) or by phone (44%). Only 17% chose email or SMS. Participants viewed face-to-face as the "gold standard" in partner notification because it demonstrated caring, respect and courage. Telephone contact, while considered insensitive by some, was often valued because it was quick, convenient and less confronting. Email was often seen as less personal while SMS was generally considered the least acceptable method for telling partners. There was also concern that emails and SMS could be misunderstood, not taken seriously or shown to others. Despite these, email and SMS were seen to be appropriate and useful in some circumstances. Letters, both from the patients or from their doctor, were viewed more favourably but were seldom used. CONCLUSION These findings suggest that many people diagnosed with chlamydia are reluctant to use the new technologies for partner notification, except in specific circumstances, and our efforts in developing partner notification resources may best be focused on giving patients the skills and confidence for personal interaction.The study was funded by the Australian Federal Government Department of Health and Ageing Chlamydia Pilot Program of Targeted Grants

Better than nothing? Patient-delivered partner therapy and partner notification for chlamydia: the views of Australian general practitioners

BACKGROUND Genital chlamydia is the most commonly notified sexually transmissible infection (STI) in Australia and worldwide and can have serious reproductive health outcomes. Partner notification, testing and treatment are important facets of chlamydia control. Traditional methods of partner notification are not reaching enough partners to effectively control transmission of chlamydia. Patient-delivered partner therapy (PDPT) has been shown to improve the treatment of sexual partners. In Australia, General Practitioners (GPs) are responsible for the bulk of chlamydia testing, diagnosis, treatment and follow up. This study aimed to determine the views and practices of Australian general practitioners (GPs) in relation to partner notification and PDPT for chlamydia and explored GPs' perceptions of their patients' barriers to notifying partners of a chlamydia diagnosis. METHODS In-depth, semi-structured telephone interviews were conducted with 40 general practitioners (GPs) from rural, regional and urban Australia from November 2006 to March 2007. Topics covered: GPs' current practice and views about partner notification, perceived barriers and useful supports, previous use of and views regarding PDPT.Transcripts were imported into NVivo7 and subjected to thematic analysis. Data saturation was reached after 32 interviews had been completed. RESULTS Perceived barriers to patients telling partners (patient referral) included: stigma; age and cultural background; casual or long-term relationship, ongoing relationship or not. Barriers to GPs undertaking partner notification (provider referral) included: lack of time and staff; lack of contact details; uncertainty about the legality of contacting partners and whether this constitutes breach of patient confidentiality; and feeling both personally uncomfortable and inadequately trained to contact someone who is not their patient. GPs were divided on the use of PDPT--many felt concerned that it is not best clinical practice but many also felt that it is better than nothing.GPs identified the following factors which they considered would facilitate partner notification: clear clinical guidelines; a legal framework around partner notification; a formal chlamydia screening program; financial incentives; education and practical support for health professionals, and raising awareness of chlamydia in the community, in particular amongst young people. CONCLUSIONS GPs reported some partners do not seek medical treatment even after they are notified of being a sexual contact of a patient with chlamydia. More routine use of PDPT may help address this issue however GPs in this study had negative attitudes to the use of PDPT. Appropriate guidelines and legislation may make the use of PDPT more acceptable to Australian GPs.The Australian Federal Government Department of Health and Ageing Chlamydia Pilot Program of Targeted Grants funded the study

Preparedness of emergency departments in northwest England for managing chemical incidents: a structured interview survey

<p>Abstract</p> <p>Background</p> <p>A number of significant chemical incidents occur in the UK each year and may require Emergency Departments (EDs) to receive and manage contaminated casualties. Previously UK EDs have been found to be under-prepared for this, but since October 2005 acute hospital Trusts have had a statutory responsibility to maintain decontamination capacity. We aimed to evaluate the level of preparedness of Emergency Departments in North West England for managing chemical incidents.</p> <p>Methods</p> <p>A face-to-face semi-structured interview was carried out with the Nurse Manager or a nominated deputy in all 18 Emergency Departments in the Region.</p> <p>Results</p> <p>16/18 departments had a written chemical incident plan but only 7 had the plan available at interview. All had a designated decontamination area but only 11 felt that they were adequately equipped. 12/18 had a current training programme for chemical incident management and 3 had no staff trained in decontamination. 13/18 could contain contaminated water from casualty decontamination and 6 could provide shelter for casualties before decontamination.</p> <p>Conclusion</p> <p>We have identified major inconsistencies in the preparedness of North West Emergency Departments for managing chemical incidents. Nationally recognized standards on incident planning, facilities, equipment and procedures need to be agreed and implemented with adequate resources. Issues of environmental safety and patient dignity and comfort should also be addressed.</p

Rapid feedback on hospital onset SARS-CoV-2 infections combining epidemiological and sequencing data.

BACKGROUND: Rapid identification and investigation of healthcare-associated infections (HCAIs) is important for suppression of SARS-CoV-2, but the infection source for hospital onset COVID-19 infections (HOCIs) cannot always be readily identified based only on epidemiological data. Viral sequencing data provides additional information regarding potential transmission clusters, but the low mutation rate of SARS-CoV-2 can make interpretation using standard phylogenetic methods difficult. METHODS: We developed a novel statistical method and sequence reporting tool (SRT) that combines epidemiological and sequence data in order to provide a rapid assessment of the probability of HCAI among HOCI cases (defined as first positive test >48 hr following admission) and to identify infections that could plausibly constitute outbreak events. The method is designed for prospective use, but was validated using retrospective datasets from hospitals in Glasgow and Sheffield collected February-May 2020. RESULTS: We analysed data from 326 HOCIs. Among HOCIs with time from admission ≥8 days, the SRT algorithm identified close sequence matches from the same ward for 160/244 (65.6%) and in the remainder 68/84 (81.0%) had at least one similar sequence elsewhere in the hospital, resulting in high estimated probabilities of within-ward and within-hospital transmission. For HOCIs with time from admission 3-7 days, the SRT probability of healthcare acquisition was >0.5 in 33/82 (40.2%). CONCLUSIONS: The methodology developed can provide rapid feedback on HOCIs that could be useful for infection prevention and control teams, and warrants further prospective evaluation. The integration of epidemiological and sequence data is important given the low mutation rate of SARS-CoV-2 and its variable incubation period. FUNDING: COG-UK HOCI funded by COG-UK consortium, supported by funding from UK Research and Innovation, National Institute of Health Research and Wellcome Sanger Institute.COG-UK HOCI funded by COG-UK consortium, supported by funding from UK Research and Innovation, National Institute of Health Research and Wellcome Sanger Institute

The Global Task Force for Chronic Pain in People with HIV (PWH):Developing a research agenda in an emerging field

Chronic pain is a common comorbidity in people with HIV (PWH), with prevalence estimates of 25-85%. Research in this area is growing, but significant gaps remain. A Global Task Force of HIV experts was organized to brainstorm a scientific agenda and identify measurement domains critical to advancing research in this field. Experts were identified through literature searches and snowball sampling. Two online questionnaires were developed by Task Force members. Questionnaire 1 asked participants to identify knowledge gaps in the field of HIV and chronic pain and identify measurement domains in studies of chronic pain in PWH. Responses were ranked in order of importance in Questionnaire 2, which was followed by a group discussion. 29 experts completed Questionnaire 1, 25 completed Questionnaire 2, and 21 participated in the group. Many important clinical and research priorities emerged, including the need to examine etiologies of chronic pain in PWH. Pain-related measurement domains were discussed, with a primary focus on domains that could be assessed in a standardized manner across various cohorts that include PWH in different countries. We collaboratively identified clinical and research priorities, as well as gaps in standardization of measurement domains, that can be used to move the field forward

The Genome and Methylome of a Beetle with Complex Social Behavior,Nicrophorus vespilloides(Coleoptera: Silphidae)

Testing for conserved and novelmechanisms underlying phenotypic evolution requires a diversity of genomes available for comparisonspanning multiple independent lineages. For example, complex social behavior in insects has been investigated primarily witheusocial lineages, nearly all of which are Hymenoptera. If conserved genomic influences on sociality do exist, we need data from awider range of taxa that also vary in their levels of sociality. Here,we present the assembled and annotated genome of the subsocialbeetle Nicrophorus vespilloides, a species long used to investigate evolutionary questions of complex social behavior. We used thisgenome to address two questions. First, do aspects of life history, such as using a carcass to breed, predict overlap in gene modelsmore strongly than phylogeny? We found that the overlap in gene models was similar between N. vespilloides and all other insectgroups regardless of life history. Second, like other insects with highly developed social behavior but unlike other beetles, doesN. vespilloides have DNA methylation?We found strong evidence for an active DNA methylation system. The distribution of methylationwassimilar to other insects with exons having themostmethylatedCpGs. Methylation status appears highly conserved; 85%of themethylated genes in N. vespilloides are alsomethylated in the hymentopteran Nasonia vitripennis. The addition of this genomeadds a coleopteran resource to answer questions about the evolution and mechanistic basis of sociality and to address questionsabout the potential role of methylation in social behavior