Cubic Curves, Finite Geometry and Cryptography

Some geometry on non-singular cubic curves, mainly over finite fields, is surveyed. Such a curve has 9,3,1 or 0 points of inflexion, and cubic curves are classified accordingly. The group structure and the possible numbers of rational points are also surveyed. A possible strengthening of the security of elliptic curve cryptography is proposed using a `shared secret' related to the group law. Cubic curves are also used in a new way to construct sets of points having various combinatorial and geometric properties that are of particular interest in finite Desarguesian planes.Comment: This is a version of our article to appear in Acta Applicandae Mathematicae. In this version, we have corrected a sentence in the third paragraph. The final publication is available at springerlink.com at http://www.springerlink.com/content/xh85647871215644

Health Care Reform and Women\u27s Insurance Coverage for Breast and Cervical Cancer Screening

INTRODUCTION: The Patient Protection and Affordable Care Act of 2010 (ACA) will increase insurance coverage for US citizens and for breast and cervical cancer screening through insurance expansions and regulatory changes. The primary objective of this study was to estimate the number of low-income women who would gain health insurance after implementation of the ACA and thus be able to obtain cancer screening. A secondary objective was to estimate the size and characteristics of the uninsured low-income population and the number of women who would still need National Breast and Cervical Cancer Early Detection Program (NBCCEDP) services. METHODS: We used the nationally representative 2009 American Community Survey to estimate the determinants of insurance status for women in Massachusetts, assuming full implementation of the ACA. We extrapolated findings to simulate the effects of the ACA on each state. We used individual-level predicted probabilities of being uninsured to generate estimates of the number of women who would gain health insurance after implementation of the ACA and to predict demand for NBCCEDP services. RESULTS: Approximately 6.8 million low-income women would gain health insurance, potentially increasing the annual demand for NBCCEDP cancer screenings initially by about 500,000 mammograms and 1.3 million Papanicolaou tests. Despite a 60% decrease in the number of low-income uninsured women, the NBCCEDP would still serve fewer than one-third of the estimated number of women eligible for services. The NBCCEDP-eligible population would comprise a larger number of women with language and literacy-related barriers to care. CONCLUSION: Implementation of the ACA would increase insurance coverage and access to cancer screening for millions of women, but the NBCCEDP will remain essential for the millions who will remain uninsured

Organellar inheritance in the green lineage: insights from Ostreococcus tauri

Along the green lineage (Chlorophyta and Streptophyta), mitochondria and chloroplast are mainly uniparentally transmitted and their evolution is thus clonal. The mode of organellar inheritance in their ancestor is less certain. The inability to make clear phylogenetic inference is partly due to a lack of information for deep branching organisms in this lineage. Here, we investigate organellar evolution in the early branching green alga Ostreococcus tauri using population genomics data from the complete mitochondrial and chloroplast genomes. The haplotype structure is consistent with clonal evolution in mitochondria, while we find evidence for recombination in the chloroplast genome. The number of recombination events in the genealogy of the chloroplast suggests that recombination, and thus biparental inheritance, is not rare. Consistent with the evidence of recombination, we find that the ratio of the number of nonsynonymous to the synonymous polymorphisms per site is lower in chloroplast than in the mitochondria genome. We also find evidence for the segregation of two selfish genetic elements in the chloroplast. These results shed light on the role of recombination and the evolutionary history of organellar inheritance in the green lineage

Achieving EU Standards in Recreational Waters

Please note that Dr Raymond Chawla's name was mistakenly omitted from the front cover. Dr Chawla's name appears on the title page and should be included in all citations.In the interest of public health and amenity, the quality of bathing waters is controlled by the European Union Bathing Water Directive (1976); the well-known Blue Flag scheme is associated with this. The Directive regulates — among other parameters — the numbers of “indicator bacteria” permitted in the water; these microorganisms themselves are not an apparently significant risk to health, but they act as indicators that sewage-derived pathogenic organisms that cause illness may be present. Coastal and freshwater bathing areas are monitored regularly during the bathing season for compliance with the Directive, and the published annual reports attract much public and news-media attention. Substantial high-cost improvements to sewerage management infrastructure have been made by Local Authorities both in Ireland and Wales aimed at achieving better compliance with bathing water standards. Nevertheless, there have been continuing episodic failures to meet the indicator-bacteria standards. Recent research in the United Kingdom has indicated that substantial quantities of the offending indicator bacteria may be conveyed in surface water runoff from the catchments of rivers and small streams in response to rainfall events. There have been indications too that the use to which land in a catchment is put (pasture, forestry, urban, and so on) is reflected in the levels of indicator bacteria contributed by the land to water. Two principal questions arise: 1. Are failures to meet microbial water-quality standards for bathing areas due to rainfall-related runoff from adjacent catchments? 2. If so, is this effect related to land uses in the catchments? This report gives an account of work addressing these issues conducted in the Afon Rheidol and Afon Ystwyth catchments in north Ceredigion, Wales and in the Dargle catchment in north Co. Wicklow, Ireland. The catchments in both areas drain to the sea through harbour outlets close to bathing beaches, and the beaches have had imperfect compliance with the Bathing Water Directive in the past.Funder: European Unio

The relationship between safety net activities and hospital financial performance

<p>Abstract</p> <p>Background</p> <p>During the 1990's hospitals in the U.S were faced with cost containment charges, which may have disproportionately impacted hospitals that serve poor patients. The purposes of this paper are to study the impact of safety net activities on total profit margins and operating expenditures, and to trace these relationships over the 1990s for all U.S urban hospitals, controlling for hospital and market characteristics.</p> <p>Methods</p> <p>The primary data source used for this analysis is the Annual Survey of Hospitals from the American Hospital Association and Medicare Hospital Cost Reports for years 1990-1999. Ordinary least square, hospital fixed effects, and two-stage least square analyses were performed for years 1990-1999. Logged total profit margin and operating expenditure were the dependent variables. The safety net activities are the socioeconomic status of the population in the hospital serving area, and Medicaid intensity. In some specifications, we also included uncompensated care burden.</p> <p>Results</p> <p>We found little evidence of negative effects of safety net activities on total margin. However, hospitals serving a low socioeconomic population had lower expenditure raising concerns for the quality of the services provided.</p> <p>Conclusions</p> <p>Despite potentially negative policy and market changes during the 1990s, safety net activities do not appear to have imperiled the survival of hospitals. There may, however, be concerns about the long-term quality of the services for hospitals serving low socioeconomic population.</p

The genome sequence of <i>Trypanosoma brucei gambiense</i>, causative agent of chronic Human African Trypanosomiasis

&lt;p&gt;&lt;b&gt;Background:&lt;/b&gt; &lt;i&gt;Trypanosoma brucei gambiense&lt;/i&gt; is the causative agent of chronic Human African Trypanosomiasis or sleeping sickness, a disease endemic across often poor and rural areas of Western and Central Africa. We have previously published the genome sequence of a &lt;i&gt;T. b. brucei&lt;/i&gt; isolate, and have now employed a comparative genomics approach to understand the scale of genomic variation between &lt;i&gt;T. b. gambiense&lt;/i&gt; and the reference genome. We sought to identify features that were uniquely associated with &lt;i&gt;T. b. gambiense&lt;/i&gt; and its ability to infect humans.&lt;/p&gt; &lt;p&gt;&lt;b&gt;Methods and findings:&lt;/b&gt; An improved high-quality draft genome sequence for the group 1 &lt;i&gt;T. b. gambiense&lt;/i&gt; DAL 972 isolate was produced using a whole-genome shotgun strategy. Comparison with &lt;i&gt;T. b. brucei&lt;/i&gt; showed that sequence identity averages 99.2% in coding regions, and gene order is largely collinear. However, variation associated with segmental duplications and tandem gene arrays suggests some reduction of functional repertoire in &lt;i&gt;T. b. gambiense&lt;/i&gt; DAL 972. A comparison of the variant surface glycoproteins (VSG) in &lt;i&gt;T. b. brucei&lt;/i&gt; with all &lt;i&gt;T. b. gambiense&lt;/i&gt; sequence reads showed that the essential structural repertoire of VSG domains is conserved across &lt;i&gt;T. brucei&lt;/i&gt;.&lt;/p&gt; &lt;p&gt;&lt;b&gt;Conclusions:&lt;/b&gt; This study provides the first estimate of intraspecific genomic variation within &lt;i&gt;T. brucei&lt;/i&gt;, and so has important consequences for future population genomics studies. We have shown that the &lt;i&gt;T. b. gambiense&lt;/i&gt; genome corresponds closely with the reference, which should therefore be an effective scaffold for any &lt;i&gt;T. brucei&lt;/i&gt; genome sequence data. As VSG repertoire is also well conserved, it may be feasible to describe the total diversity of variant antigens. While we describe several as yet uncharacterized gene families with predicted cell surface roles that were expanded in number in &lt;i&gt;T. b. brucei&lt;/i&gt;, no &lt;i&gt;T. b. gambiense&lt;/i&gt;-specific gene was identified outside of the subtelomeres that could explain the ability to infect humans.&lt;/p&gt

Peak grain forecasts for the US High Plains amid withering waters

ACKNOWLEDGMENTS. This paper stems from discussions during the Ettersburg Ecohydrology Workshop in Germany (October 2018), with the corresponding manuscript preparation ensuing in subsequent months. The workshop was funded by the UNIDEL Foundation, Inc. and the University of Delaware. Accordingly, partial support for this paper derived from funding for the workshop. A.M. was supported by the US NSF (Grants NSF-AGS-1644382 and NSF-IOS-175489).Peer reviewedPublisher PD

From international health to global health: how to foster a better dialogue between empirical and normative disciplines.

BACKGROUND: Public health recommendations are usually based on a mixture of empirical evidence and normative arguments: to argue that authorities ought to implement an intervention that has proven effective in improving people's health requires a normative position confirming that the authorities are responsible for improving people's health. While public health (at the national level) is based on a widely accepted normative starting point - namely, that it is the responsibility of the state to improve people's health - there is no widely accepted normative starting point for international health or global health. As global health recommendations may vary depending on the normative starting point one uses, global health research requires a better dialogue between researchers who are trained in empirical disciplines and researchers who are trained in normative disciplines. DISCUSSION: Global health researchers with a background in empirical disciplines seem reluctant to clarify the normative starting point they use, perhaps because normative statements cannot be derived directly from empirical evidence, or because there is a wide gap between present policies and the normative starting point they personally support. Global health researchers with a background in normative disciplines usually do not present their work in ways that help their colleagues with a background in empirical disciplines to distinguish between what is merely personal opinion and professional opinion based on rigorous normative research. If global health researchers with a background in empirical disciplines clarified their normative starting point, their recommendations would become more useful for their colleagues with a background in normative disciplines. If global health researchers who focus on normative issues used adapted qualitative research guidelines to present their results, their findings would be more useful for their colleagues with a background in empirical disciplines. Although a single common paradigm for all scientific disciplines that contribute to global health research may not be possible or desirable, global health researchers with a background in empirical disciplines and global health researchers with a background in normative disciplines could present their 'truths' in ways that would improve dialogue. This paper calls for an exchange of views between global health researchers and editors of medical journals