Semi-classical Laguerre polynomials and a third order discrete integrable equation

A semi-discrete Lax pair formed from the differential system and recurrence relation for semi-classical orthogonal polynomials, leads to a discrete integrable equation for a specific semi-classical orthogonal polynomial weight. The main example we use is a semi-classical Laguerre weight to derive a third order difference equation with a corresponding Lax pair.Comment: 11 page

Direct amplification of nodD from community DNA reveals the genetic diversity of Rhizobium leguminosarum in soil

Sequences of nodD, a gene found only in rhizobia, were amplified from total community DNA isolated from a pasture soil. The polymerase chain reaction (PCR) primers used, Y5 and Y6, match nodD from Rhizobium leguminosarum biovar trifolii, R. leguminosarum biovar viciae and Sinorhizobium meliloti. The PCR product was cloned and yielded 68 clones that were identified by restriction pattern as derived from biovar trifolii [11 restriction fragment length polymorphism (RFLP) types] and 15 clones identified as viciae (seven RFLP types). These identifications were confirmed by sequencing. There were no clones related to S. meliloti nodD. For comparison, 122 strains were isolated from nodules of white clover (Trifolium repens) growing at the field site, and 134 from nodules on trap plants of T. repens inoculated with the soil. The nodule isolates were of four nodD RFLP types, with 77% being of a single type. All four of these patterns were also found among the clones from soil DNA, and the same type was the most abundant, although it made up only 34% of the trifolii-like clones. We conclude that clover selects specific genotypes from the available soil population, and that R. leguminosarum biovar trifolii was approximately five times more abundant than biovar viciae in this pasture soil, whereas S. meliloti was rare

The integral equation approach to kinematic dynamo theory and its application to dynamo experiments in cylindrical geometry

The conventional magnetic induction equation that governs hydromagnetic dynamo action is transformed into an equivalent integral equation system. An advantage of this approach is that the computational domain is restricted to the region occupied by the electrically conducting fluid and to its boundary. This integral equation approach is first employed to simulate kinematic dynamos excited by Beltrami-like flows in a finite cylinder. The impact of externally added layers around the cylinder on the onset of dynamo actions is investigated. Then it is applied to simulate dynamo experiments within cylindrical geometry including the von Karman sodium (VKS) experiment and the Riga dynamo experiment. A modified version of this approach is utilized to investigate magnetic induction effects under the influence of externally applied magnetic fields which is also important to measure the proximity of a given dynamo facility to the self-excitation threshold.Comment: 22 pages, 14 figure

Metastatic Renal Cell Carcinoma Rapidly Progressive to Sunitinib: What to Do Next?

Background: From 10% to 26% of patients with metastatic renal cell carcinoma (mRCC) experience rapidly progressive disease (PD) on treatment with sunitinib. Objective: To investigate the benefit of subsequent treatment with another tyrosine kinase inhibitor (TKI) or a mammalian target of rapamycin (mTOR) inhibitor in such primary refractory patients. Design, setting, and participants: A total of 150 mRCC patients with rapidly PD on first- line sunitinib (within two cycles, n = 93, or four cycles, n = 57) were identified: median age 59 yr; nephrectomy 86%; histological subtypes: clear cell (77.8%), papillary (14%), and sarco- matoid features (18%); according to the Memorial Sloan-Kettering Cancer Center and French classifications: good risk (11% and 7%, respectively), intermediate (68% and 63%, respectively), and poor (21% and 29%, respectively). Outcome measurements and statistical analysis: Data were retrospectively collected by a questionnaire from 19 European oncology centers between March 2005 and March 2011. Pro- gression-free survival (PFS) and overall survival (OS) were calculated (Kaplan-Meier method). Results and limitations: Median OS from the start of first-line treatment was 7.4 mo. Second-line treatment was administered to 86 (57%) patients (44 mTOR inhibitors: 23 ever- olimus and 21 temsirolimus; 39 TKIs alone or in combination; three chemotherapy). Second- line PFS was not significantly different between TKIs and mTOR inhibitors (2.0 vs 0.9 mo; p = 0.536). Median OS from the start of second-line treatment was 5.0 mo for mTOR inhibitors and 6.6 mo for TKIs (p = 0.15). Conclusions: Treatment with further TKIs or mTOR inhibitors for mRCC patients primarily refractory to first-line sunitinib in the observed time period achieved very minimal benefit, suggesting avoiding TKI rechallenge and possibly preferring alternative strategies, such as immune checkpoint inhibitors, after PD to a treatment line including a TKI in this setting. Patient summary: The present work collected data about 150 patients affected by meta- static renal cell carcinoma, who received one of the current standard of care as first-line treatment, namely, the antiangiogenic drug sunitinib, and experienced rapid worsening of the disease. We investigated and described the subsequent outcome of such patients treated with two different types of drug, administered as second-line therapy, to better understand the best strategy to adopt for patients who got no benefit from sunitinib and to describe the current therapeutic approach in such cases

A comment on Scott's “Black Polygamous Family Formation”

This brief article takes a critical look at Joseph W. Scott's article “Black Polygamous Family Formation.” While Scott's research is seen as helpful, several problems in his treatment of plural mating and marriage arrangements among Black Americans are discussed. Major conceptual problems are created by Scott's use (or misuse) of the concept “polygyny.” Significant methodological problems are also posed by his sampling approach, operationalization of concepts, and analytic strategies. Studies such as Scott's are of optimal value when their exploratory nature, and consequent limitation, are clearly acknowledged.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/44661/1/10834_2005_Article_BF01082935.pd

G-Quadruplex Visualization in Cells via Antibody and Fluorescence Probe

G-quadruplexes (G4s) are noncanonical nucleic acids structures involved in key regulatory and pathological roles in eukaryotes, prokaryotes, and viruses: the development of specific antibodies and fluorescent probes represent an invaluable tool to understand their biological relevance. We here present three protocols for the visualization of G4s in cells, both uninfected and HSV-1 infected, using a specific antibody and a fluorescent G4 ligand, and the effect of the fluorescent ligand on a G4 binding protein, nucleolin, upon binding of the molecule to the nucleic acids structure

The nuclear receptors of Biomphalaria glabrata and Lottia gigantea: Implications for developing new model organisms

© 2015 Kaur et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are creditedNuclear receptors (NRs) are transcription regulators involved in an array of diverse physiological functions including key roles in endocrine and metabolic function. The aim of this study was to identify nuclear receptors in the fully sequenced genome of the gastropod snail, Biomphalaria glabrata, intermediate host for Schistosoma mansoni and compare these to known vertebrate NRs, with a view to assessing the snail's potential as a invertebrate model organism for endocrine function, both as a prospective new test organism and to elucidate the fundamental genetic and mechanistic causes of disease. For comparative purposes, the genome of a second gastropod, the owl limpet, Lottia gigantea was also investigated for nuclear receptors. Thirty-nine and thirty-three putative NRs were identified from the B. glabrata and L. gigantea genomes respectively, based on the presence of a conserved DNA-binding domain and/or ligand-binding domain. Nuclear receptor transcript expression was confirmed and sequences were subjected to a comparative phylogenetic analysis, which demonstrated that these molluscs have representatives of all the major NR subfamilies (1-6). Many of the identified NRs are conserved between vertebrates and invertebrates, however differences exist, most notably, the absence of receptors of Group 3C, which includes some of the vertebrate endocrine hormone targets. The mollusc genomes also contain NR homologues that are present in insects and nematodes but not in vertebrates, such as Group 1J (HR48/DAF12/HR96). The identification of many shared receptors between humans and molluscs indicates the potential for molluscs as model organisms; however the absence of several steroid hormone receptors indicates snail endocrine systems are fundamentally different.The National Centre for the Replacement, Refinement and Reduction of Animals in Research, Grant Ref:G0900802 to CSJ, LRN, SJ & EJR [www.nc3rs.org.uk]

The Lee-Yang and P\'olya-Schur Programs. I. Linear Operators Preserving Stability

In 1952 Lee and Yang proposed the program of analyzing phase transitions in terms of zeros of partition functions. Linear operators preserving non-vanishing properties are essential in this program and various contexts in complex analysis, probability theory, combinatorics, and matrix theory. We characterize all linear operators on finite or infinite-dimensional spaces of multivariate polynomials preserving the property of being non-vanishing whenever the variables are in prescribed open circular domains. In particular, this solves the higher dimensional counterpart of a long-standing classification problem originating from classical works of Hermite, Laguerre, Hurwitz and P\'olya-Schur on univariate polynomials with such properties.Comment: Final version, to appear in Inventiones Mathematicae; 27 pages, no figures, LaTeX2