On the zero set of G-equivariant maps

Let $G$ be a finite group acting on vector spaces $V$ and $W$ and consider a smooth $G$-equivariant mapping $f:V\to W$. This paper addresses the question of the zero set near a zero $x$ of $f$ with isotropy subgroup $G$. It is known from results of Bierstone and Field on $G$-transversality theory that the zero set in a neighborhood of $x$ is a stratified set. The purpose of this paper is to partially determine the structure of the stratified set near $x$ using only information from the representations $V$ and $W$. We define an index $s(\Sigma)$ for isotropy subgroups $\Sigma$ of $G$ which is the difference of the dimension of the fixed point subspace of $\Sigma$ in $V$ and $W$. Our main result states that if $V$ contains a subspace $G$-isomorphic to $W$, then for every maximal isotropy subgroup $\Sigma$ satisfying $s(\Sigma)>s(G)$, the zero set of $f$ near $x$ contains a smooth manifold of zeros with isotropy subgroup $\Sigma$ of dimension $s(\Sigma)$. We also present a systematic method to study the zero sets for group representations $V$ and $W$ which do not satisfy the conditions of our main theorem. The paper contains many examples and raises several questions concerning the computation of zero sets of equivariant maps. These results have application to the bifurcation theory of $G$-reversible equivariant vector fields

The Case of the Disappearing/Appearing Slow Learner: An Interpretive Mystery

This interpretive essay attempts to demonstrate the potential good that might come from approaching a hermeneutic phenomenological study as a hard-boiled detective story in the tradition of Raymond Chandler. The authors attempt to explain the hermeneutic warrants for such an adventure—that is, for how and why a topic like the categorization and treatment of students in the public education system as “slow learners†might be approached as a detective story. The parallels between detective fiction, Chandler’s work as a noir novelist, and hermeneutics are drawn out. Attention is drawn to the ground of our interpretive relationship with the world in Heidegger’s notion of the “as structure†of interpretation. A case is made for seeing the hard-boiled detective story as a hermeneutic venue for shaking up commonsense understandings of how we have come to see and do education with those students designated as slow in their learning.  Â

Coherent laser-millimeter-wave interactions en route to coherent population transfer

We demonstrate coherent two-photon population transfer to Rydberg states of barium atoms using a combination of a pulsed dye laser and a chirped-pulse millimeter-wave spectrometer. Numerical calculations, using a density matrix formalism, reproduce our experimental results and explain the factors responsible for the observed fractional population transferred, optimal experimental conditions, and possibilities for future improvements. The long coherence times associated with the millimeter-wave radiation aid in creating coherence between the ground state and Rydberg states, but higher-coherence laser sources are required to achieve stimulated Raman adiabatic passage and for applications to molecules.National Science Foundation (U.S.) (Grant 1122374

Architecture of a host–parasite interface: complex targeting mechanisms revealed through proteomics

Surface membrane organization and composition is key to cellular function, and membrane proteins serve many essential roles in endocytosis, secretion, and cell recognition. The surface of parasitic organisms, however, is a double-edged sword; this is the primary interface between parasites and their hosts, and those crucial cellular processes must be carried out while avoiding elimination by the host immune defenses. For extracellular African trypanosomes, the surface is partitioned such that all endo- and exocytosis is directed through a specific membrane region, the flagellar pocket, in which it is thought the majority of invariant surface proteins reside. However, very few of these proteins have been identified, severely limiting functional studies, and hampering the development of potential treatments. Here we used an integrated biochemical, proteomic and bioinformatic strategy to identify surface components of the human parasite Trypanosoma brucei. This surface proteome contains previously known flagellar pocket proteins as well as multiple novel components, and is significantly enriched in proteins that are essential for parasite survival. Molecules with receptor-like properties are almost exclusively parasite-specific, whereas transporter-like proteins are conserved in model organisms. Validation shows that the majority of surface proteome constituents are bona fide surface-associated proteins and, as expected, most present at the flagellar pocket. Moreover, the largest systematic analysis of trypanosome surface molecules to date provides evidence that the cell surface is compartmentalized into three distinct domains with free diffusion of molecules in each, but selective, asymmetric traffic between. This work provides a paradigm for the compartmentalization of a cell surface and a resource for its analysis

NMFS / Interagency Working Group Evaluation of CITES Criteria and Guidelines.

EXECUTIVE SUMMARY: At present, the Convention on International Trade in Endangered Species of Wild Fauna and Flora (CITES) criteria used to assess whether a population qualifies for inclusion in the CITES Appendices relate to (A) size of the population, (B) area of distribution of the population, and (C) declines in the size of the population. Numeric guidelines are provided as indicators of a small population (less than 5,000 individuals), a small subpopulation (less than 500 individuals), a restricted area of distribution for a population (less than 10,000 km2), a restricted area of distribution for a subpopula-tion (less than 500 km2), a high rate of decline (a decrease of 50% or more in total within 5 years or two generations whichever is longer or, for a small wild population, a decline of 20% or more in total within ten years or three generations whichever is longer), large fluctuations (population size or area of distribution varies widely, rapidly and frequently, with a variation greater than one order of magnitude), and a short-term fluctuation (one of two years or less). The Working Group discussed several broad issues of relevance to the CITES criteria and guidelines. These included the importance of the historical extent of decline versus the recent rate of decline; the utility and validity of incorporating relative population productivity into decline criteria; the utility of absolute numbers for defining small populations or small areas; the appropriateness of generation times as time frames for examining declines; the importance of the magnitude and frequency of fluctuations as factors affecting risk of extinction; and the overall utility of numeric thresh-olds or guidelines

Rapid detection of BRCA1/2 recurrent mutations in Chinese breast and ovarian cancer patients with multiplex SNaPshot genotyping panels.

BRCA1/2 mutations are significant risk factors for hereditary breast and ovarian cancer (HBOC), its mutation frequency in HBOC of Chinese ethnicity is around 9%, in which nearly half are recurrent mutations. In Hong Kong and China, genetic testing and counseling are not as common as in the West. To reduce the barrier of testing, a multiplex SNaPshot genotyping panel that targeted 25 Chinese BRCA1/2 mutation hotspots was developed, and its feasibility was evaluated in a local cohort of 441 breast and 155 ovarian cancer patients. For those who tested negative, they were then subjected to full-gene testing with next-generation sequencing (NGS). BRCA mutation prevalence in this cohort was 8.05% and the yield of the recurrent panel was 3.52%, identifying over 40% of the mutation carriers. Moreover, from 79 Chinese breast cancer cases recruited overseas, 2 recurrent mutations and one novel BRCA2 mutation were detected by the panel and NGS respectively. The developed genotyping panel showed to be an easy-to-perform and more affordable testing tool that can provide important contributions to improve the healthcare of Chinese women with cancer as well as family members that harbor high risk mutations for HBOC

Direct detection of Rydberg–Rydberg millimeter-wave transitions in a buffer gas cooled molecular beam

Millimeter-wave transitions between molecular Rydberg states (n ∼ 35) of barium monofluoride are directly detected via Free Induction Decay (FID). Two powerful technologies are used in combination: Chirped-Pulse millimeter-Wave (CPmmW) spectroscopy and a buffer gas cooled molecular beam photoablation source. Hundreds of Rydberg–Rydberg transitions are recorded in 1 h with >10:1 signal:noise ratio and ∼150 kHz resolution. This high resolution, high spectral velocity experiment promises new strategies for rapid measurements of structural and dynamical information, such as the electric structure (multipole moments and polarizabilities) of the molecular ion-core and the strengths and mechanisms of resonances between Rydberg electron and ion-core motions. Direct measurements of Rydberg–Rydberg transitions with kilo-Debye dipole moments support efficient and definitive spectral analysis techniques, such as the Stark demolition and polarization diagnostics, which enable semi-automatic assignments of core-nonpenetrating Rydberg states. In addition, extremely strong radiation-mediated collective effects (superradiance) in a dense Rydberg gas of barium atoms are observed.National Science Foundation (U.S.) (Grant No. CHE-1361865)United States. Department of Defense (National Defence Science & Engineering Graduate Fellowship (NDSEG) Program

Evaluation of azlocillin in-vitro and in discriminative animal models of infection

Azlocillin was more active in vitro than ticarcillin or carbenicillin against 561 aminoglycoside-resistant strains of Pseudomonas aeruginosa collected from 74 hospitals distributed over a wide geographic area in the eastern United States. Azlocillin was compared with various other antimicrobial agents in discriminative animal models of Ps. aeruginosa pyelonephritis, osteomyelitis, endocarditis, and meningitis in a variety of mammalian species. Cefsulodin was more effective than azlocillin in reducing Ps. aeruginosa kidney concentrations in rat pyelonephritis induced by intrarenal inoculation. The mean±s.d. logl0 cfu/g kidney after three days of therapy were as follows: controls = 5.4±1.5, azlocillin = 4.4±1.8, cefsulodin = 2.6±0.9 (P < 0.01) but the MBC for the test strain was eight-fold higher for azlocillin (8 vs. 1 mg/l) and effective concentrations were maintained longer in rat serum for cefsulodin as against azlocillin. In addition, ticarcillin reduced kidney bacterial concentrations faster than azlocillin in a mouse pyelonephritis model induced by intravenous Ps. aeruginosa inoculation with subsequent iron loading. Azlocillin was less effective than tobramycin in experimental chronic Ps. aeruginosa osteomyelitis induced in rabbits by direct injection into the tibia. An azlocillin-tobramycin regimen was not more effective than tobramycin alone. After 28 days of therapy, the percentages of positive bone cultures after death were as follows: no antibiotic (controls) = 92%, azlocillin = 95%, tobramycin = 76%, azlocillin plus tobramycin = 60%. Both ticarcillin and azlocillin were less active than tobramycin in experimental Ps. aeruginosa endocarditis induced in rabbits by intravenous inoculation of 108 cfu following 1 h of catheter induced aortic valve trauma. The best results were noted with an azlocillin-tobramycin regimen. The mean±s.d. log10 cfu Ps. aeruginosa/g vegetation after five days of therapy were as follows: no antibiotic controls = 8.1 ± 1.1, tobramycin = 4.5 ±0.8, ticarcillin = 6.9 ± 0.8, azlocillin = 5.7 ± 1.5, ticarcillin phis tobramycin = 4.9 ± 1.0, azlocillin plus tobramycin = 3.3 ± 1.6. Sterile vegetations were rarely attained with any regimen. The mean percentage penetration into purulent cerebrospinal fluid (CSF) in experimental Ps. aeruginosa meningitis for azlocillin was 13.3%, comparable to many other β-lactam antibiotics. Azlocillin was the single most active (P < 0.01) agent evaluated after 8 h intravenous infusions in this model. An azlocillin-amikacin regimen was more rapidly bactericidal (P < 0.01) than either agent alone in vivo. None of the agents evaluated alone or in combination, however, produced a sterile CSF after 8 h of therapy in any anima