The null divergence factor

Let (P, Q) be a C 1 vector field defined in a open subset U ⊂ R2 . We call a null divergence factor a C 1 solution V (x, y) of the equation P ∂V + Q ∂V = ∂P + ∂Q V . In previous works ∂x ∂y ∂x ∂y it has been shown that this function plays a fundamental role in the problem of the center and in the determination of the limit cycles. In this paper we show how to construct systems with a given null divergence factor. The method presented in this paper is a generalization of the classical Darboux method to generate integrable systems.

The death receptor antagonist FAIM promotes neurite outgrowth by a mechanism that depends on ERK and NF-κB signaling

Fas apoptosis inhibitory molecule (FAIM) is a protein identified as an antagonist of Fas-induced cell death. We show that FAIM overexpression fails to rescue neurons from trophic factor deprivation, but exerts a marked neurite growth–promoting action in different neuronal systems. Whereas FAIM overexpression greatly enhanced neurite outgrowth from PC12 cells and sympathetic neurons grown with nerve growth factor (NGF), reduction of endogenous FAIM levels by RNAi decreased neurite outgrowth in these cells. FAIM overexpression promoted NF-κB activation, and blocking this activation by using a super-repressor IκBα or by carrying out experiments using cortical neurons from mice that lack the p65 NF-κB subunit prevented FAIM-induced neurite outgrowth. The effect of FAIM on neurite outgrowth was also blocked by inhibition of the Ras–ERK pathway. Finally, we show that FAIM interacts with both Trk and p75 neurotrophin receptor NGF receptors in a ligand-dependent manner. These results reveal a new function of FAIM in promoting neurite outgrowth by a mechanism involving activation of the Ras–ERK pathway and NF-κB.

Expresiones para la determinación del factor de fricción en ríos de fuerte pendiente

Con base en una selección de 145 datos pertenecientes a ríos de montaña de fuerte pendiente (³ 1%) se han desarrollado cinco expresiones para determinar el factor de fricción de Darcy-Weisbach. La primera expresión se fundamenta en la aplicación para flujo turbulento rugoso en lámina libre de la ley semilogarítmica de Prandtl-Kárman, que es función de la sumersión relativa (relación entre el calado medio y la rugosidad equivalente). La segunda y tercera corresponden a correciones de la primera para flujo macrorrugoso, propuestas por Thompson y Campbell (1979) y Aguirre-Pe y Fuentes (1990) respectivamente. La cuarta ecuación consiste una en potencia de la sumersión relativa, mientras que la quinta corrige la fórmula anterior incorporando una potencia de la pendiente, tal y como propugnan Meunier (1989) y Rickenmann (1990). Las expresiones derivadas presentan un ajuste significativo, si se tienen en cuenta las limitaciones hidrométricas existentes en ríos de material grueso y fuerte pendiente. Destaca el mayor ajuste conseguido con las ecuaciones con las ecuaciones del tipo potencial frente a las del tipo semilogarítmico. Se ha encontrado, asimismo, una capacidad de predicción ligeramente superior en aquellas expresiones que incluyen modificaciones respecto a la ecuación original, ecuaciones del tipo segundo, tercero y quinto anteriormente indicado.

The border of reproductive control: undocumented immigration as a risk factor for unintended pregnancy in Switzerland.

Unintended pregnancies reflect an unmet need for family planning, and are part of health disparities. Using the only database to inquire about pregnancy intention among women in Switzerland, this study examined the relationship between immigrant documentation and unintended pregnancy (UP). Among pregnant women presenting to a Swiss hospital, we compared pregnancy intention between documented and undocumented women. We used logistic regression to examine whether undocumented status was associated with UP after adjusting for other significant predictors. Undocumented women had more unintended pregnancies (75.2 vs. 20.6 %, p = 0.00). Undocumented status was associated with UP after adjustment (OR 6.23, 95 % CI 1.83-21.2), as was a history of psychological problems (OR 4.09, 95 % CI 1.32-12.7). Contraception non-use was notably associated with lower odds of UP (OR 0.01, 95 % CI 0.004-0.04). Undocumented status was significantly associated with UP, even after adjusting for well-recognized risk factors. This highlights the tremendous risk of undocumented status on UP among women in Switzerland.

A survey on the inverse integrating factor

The relation between limit cycles of planar differential systems and the inverse integrating factor was first shown in an article of Giacomini, Llibre and Viano appeared in 1996. From that moment on, many research articles are devoted to the study of the properties of the inverse integrating factor and its relationwith limit cycles and their bifurcations. This paper is a summary of all the results about this topic. We include a list of references together with the corresponding related results aiming at being as much exhaustive as possible. The paper is, nonetheless, self-contained in such a way that all the main results on the inverse integrating factor are stated and a complete overview of the subject is given. Each section contains a different issue to which the inverse integrating factor plays a role: the integrability problem, relation with Lie symmetries, the center problem, vanishing set of an inverse integrating factor, bifurcation of limit cycles from either a period annulus or from a monodromic ω-limit set and some generalizations.

Signalling by neurotrophins and hepatocyte growth factor regulates axon morphogenesis by differential β-catenin phosphorylation

Tyrosine phosphorylation of ß-catenin, a component of adhesion complexes and the Wnt pathway, affects cell adhesion, migration and gene transcription. By reducing ßcatenin availability using shRNA-mediated gene silencing or expression of intracellular N-cadherin, we show that ß-catenin is required for axon growth downstream of Brain Derived Neurotrophic Factor (BDNF) and Hepatocyte Growth Factor (HGF) signalling. We demonstrate that receptor tyrosine kinases (RTK) Trk and Met interact with and phosphorylate ß-catenin. Neurotrophins (NT) stimulation of Trk receptors results in phosphorylation of ß-catenin at residue Y654 and increased axon growth and branching. Conversely, pharmacological inhibition of Trk or a Y654F mutant blocks these effects. ß-catenin phospho(P)-Y654 colocalizes with the cytoskeleton at growth cones. However, HGF that also increases axon growth and branching, induces ß-catenin phosphorylation at Y142 and a nuclear localization. Interestingly, dominant negative ΔN-TCF4 abolishes the effects of HGF in axon growth and branching, but not of NT. We conclude that NT and HGF signalling differentially phosphorylate ß-catenin, targeting ß-catenin to distinct compartments to regulate axon morphogenesis by TCF4-transcription-dependent and independent mechanisms. These results place ß-catenin downstream of growth factor/RTK signalling in axon differentiation.

Chemokines induce axon outgrowth downstream of Hepatocyte Growth Factor and TCF/β-catenin signaling

Axon morphogenesis is a complex process regulated by a variety of secreted molecules, including morphogens and growth factors, resulting in the establishment of the neuronal circuitry. Our previous work demonstrated that growth factors [Neurotrophins (NT) and Hepatocyte Growth Factor (HGF)] signal through β-catenin during axon morphogenesis. HGF signaling promotes axon outgrowth and branching by inducing β-catenin phosphorylation at Y142 and transcriptional regulation of T-Cell Factor (TCF) target genes. Here, we asked which genes are regulated by HGF signaling during axon morphogenesis. An array screening indicated that HGF signaling elevates the expression of chemokines of the CC and CXC families. In line with this, CCL7, CCL20, and CXCL2 significantly increase axon outgrowth in hippocampal neurons. Experiments using blocking antibodies and chemokine receptor antagonists demonstrate that chemokines act downstream of HGF signaling during axon morphogenesis. In addition, qPCR data demonstrates that CXCL2 and CCL5 expression is stimulated by HGF through Met/b-catenin/TCF pathway. These results identify CC family members and CXCL2 chemokines as novel regulators of axon morphogenesis downstream of HGF signaling.

Recruitment of Matrix Metalloproteinase-9 (MMP-9) to the Fibroblast Cell Surface by Lysyl Hydroxylase 3 (LH3) Triggers Transforming Growth Factor-β (TGF-β) Activation and Fibroblast Differentiation.

Solid tumor growth triggers a wound healing response. Similar to wound healing, fibroblasts in the tumor stroma differentiate into myofibroblasts (also referred to as cancer-associated fibroblasts) primarily, but not exclusively, in response to transforming growth factor-β (TGF-β). Myofibroblasts in turn enhance tumor progression by remodeling the stroma. Among proteases implicated in stroma remodeling, matrix metalloproteinases (MMPs), including MMP-9, play a prominent role. Recent evidence indicates that MMP-9 recruitment to the tumor cell surface enhances tumor growth and invasion. In the present work, we addressed the potential relevance of MMP-9 recruitment to and activity at the surface of fibroblasts. We show that recruitment of MMP-9 to the fibroblast cell surface occurs through its fibronectin-like (FN) domain and that the molecule responsible for the recruitment is lysyl hydroxylase 3 (LH3). Functional assays suggest that both pro- and active MMP-9 trigger α-smooth muscle actin expression in cultured fibroblasts, reflecting myofibroblast differentiation, possibly as a result of TGF-β activation. Moreover, the recombinant FN domain inhibited both MMP-9-induced TGF-β activation and α-smooth muscle actin expression by displacing MMP-9 from the fibroblast cell surface. Together our results uncover LH3 as a new docking receptor of MMP-9 on the fibroblast cell surface and demonstrate that the MMP-9 FN domain is essential for the interaction. They also show that the recombinant FN domain inhibits MMP-9-induced TGF-β activation and fibroblast differentiation, providing a potentially attractive therapeutic reagent toward attenuating tumor progression where MMP-9 activity is strongly implicated.

Examining the virulence of Candida albicans transcription factor mutants using Galleria mellonella and mouse infection models.

The aim of the present study was to identify Candida albicans transcription factors (TFs) involved in virulence. Although mice are considered the gold-standard model to study fungal virulence, mini-host infection models have been increasingly used. Here, barcoded TF mutants were first screened in mice by pools of strains and fungal burdens (FBs) quantified in kidneys. Mutants of unannotated genes which generated a kidney FB significantly different from that of wild-type were selected and individually examined in Galleria mellonella. In addition, mutants that could not be detected in mice were also tested in G. mellonella. Only 25% of these mutants displayed matching phenotypes in both hosts, highlighting a significant discrepancy between the two models. To address the basis of this difference (pool or host effects), a set of 19 mutants tested in G. mellonella were also injected individually into mice. Matching FB phenotypes were observed in 50% of the cases, highlighting the bias due to host effects. In contrast, 33.4% concordance was observed between pool and single strain infections in mice, thereby highlighting the bias introduced by the "pool effect." After filtering the results obtained from the two infection models, mutants for MBF1 and ZCF6 were selected. Independent marker-free mutants were subsequently tested in both hosts to validate previous results. The MBF1 mutant showed impaired infection in both models, while the ZCF6 mutant was only significant in mice infections. The two mutants showed no obvious in vitro phenotypes compared with the wild-type, indicating that these genes might be specifically involved in in vivo adapt.

Positive Outcomes Influence the Rate and Time to Publication, but Not the Impact Factor of Publications of Clinical Trial Results

Objectives: Publication bias may affect the validity of evidence based medical decisions. The aim of this study is to assess whether research outcomes affect the dissemination of clinical trial findings, in terms of rate, time to publication, and impact factor of journal publications. Methods and Findings: All drug-evaluating clinical trials submitted to and approved by a general hospital ethics committee between 1997 and 2004 were prospectively followed to analyze their fate and publication. Published articles were identified by searching Pubmed and other electronic databases. Clinical study final reports submitted to the ethics committee, final reports synopses available online and meeting abstracts were also considered as sources of study results. Study outcomes were classified as positive (when statistical significance favoring experimental drug was achieved), negative (when no statistical significance was achieved or it favored control drug) and descriptive (for non-controlled studies). Time to publication was defined as time from study closure to publication. A survival analysis was performed using a Cox regression model to analyze time to publication. Journal impact factors of identified publications were recorded. Publication rate was 48·4% (380/785). Study results were identified for 68·9% of all completed clinical trials (541/785). Publication rate was 84·9% (180/212) for studies with results classified as positive and 68·9% (128/186) for studies with results classified as negative (p<0·001). Median time to publication was 2·09 years (IC95 1·61-2·56) for studies with results classified as positive and 3·21 years (IC95 2·69-3·70) for studies with results classified as negative (hazard ratio 1·99 (IC95 1·55-2·55). No differences were found in publication impact factor between positive (median 6·308, interquartile range: 3·141-28·409) and negative result studies (median 8·266, interquartile range: 4·135-17·157). Conclusions: Clinical trials with positive outcomes have significantly higher rates and shorter times to publication than those with negative results. However, no differences have been found in terms of impact factor.

Hepatocyte nuclear factor-4 alpha regulates the human apolipoprotein AV gene: Identification of a novel response element and involvement in the control by peroxisome proliferator-activated receptor-gamma coactivator-1 alpha, AMP-activated protein kinase, and mitogen-activated protein kinase pathway

The recently discovered apolipoprotein AV (apoAV) gene has been reported to be a key player in modulating plasma triglyceride levels. Here we identify the hepatocyte nuclear factor-4 (HNF-4 ) as a novel regulator of human apoAV gene. Inhibition of HNF-4 expression by small interfering RNA resulted in down-regulation of apoAV. Deletion, mutagenesis, and binding assays revealed that HNF-4 directly regulates human apoAV promoter through DR1 [a direct repeat separated by one nucleotide (nt)], and via a novel element for HNF-4 consisting of an inverted repeat separated by 8 nt (IR8). In addition, we show that the coactivator peroxisome proliferator-activated receptor- coactivator-1 was capable of stimulating the HNF-4 -dependent transactivation of apoAV promoter. Furthermore, analyses in human hepatic cells demonstrated that AMP-activated protein kinase (AMPK) and the MAPK signaling pathway regulate human apoAV expression and suggested that this regulation may be mediated, at least in part, by changes in HNF-4 . Intriguingly, EMSAs and mice with a liver-specific disruption of the HNF-4 gene revealed a species-distinct regulation of apoAV by HNF-4 , which resembles that of a subset of HNF-4 target genes. Taken together, our data provide new insights into the binding properties and the modulation of HNF-4 and underscore the role of HNF-4 in regulating triglyceride metabolism.