Extremal discs and the holomorphic extension from convex hypersurfaces

Let D be a convex domain with smooth boundary in complex space and let f be a continuous function on the boundary of D. Suppose that f holomorphically extends to the extremal discs tangent to a convex subdomain of D. We prove that f holomorphically extends to D. The result partially answers a conjecture by Globevnik and Stout of 1991

Manganese(II) Complexes with Schiff Bases Immobilized on Nanosilica as Catalysts of the Reaction of Ozone Decomposition

In this article, we submit the description of synthesis and identification of manganese(II) complexes with pyrogenic nanosilica-immobilized (d av = 10 nm; S sp = 290 m2/g) hydroxyaldimine ligands (Mn(L)2/Si): salicilaldiminopropyl (L1); 5-bromosalicilaldiminopropyl (L2); 2-hydroxynaphtaldiminopropyl (L3); 2-hydroxy-3-methoxybenzaldiminopropyl (L4); 2-hydroxy-3,5-dichloroacetophenoniminopropyl (L5); and 4-hydroxy-3-methoxybenzaldiminopropyl (L6). The ligands and complexes were characterized by UV-VIS and IR spectrometry. Nanocomposites consisting of complexes Mn(L)2/Si showed a high catalytic activity in low-temperature ozone decomposition in the range of concentrations between 2.1 × 10−6 and 8.4 × 10−6 mol/l. The number of catalytic cycles increased for isostructural pseudotetrahedral complexes Mn(L)2/Si (L1–L5) in the following order: Mn(L3)2 >> Mn(L4)2 > Mn(L1)2 > Mn(L2)2 > Mn(L5)2. In the case of pseudooctahedral complexes with L6, the change of coordination polyhedral does not influence the kinetics and stoichiometric parameters of the reaction

Common Breast Cancer Susceptibility Alleles and the Risk of Breast Cancer for BRCA1 and BRCA2 Mutation Carriers: Implications for Risk Prediction

The known breast cancer (BC) susceptibility polymorphisms in FGFR2, TNRC9/TOX3, MAP3K1,LSP1 and 2q35 confer increased risks of BC for BRCA1 or BRCA2 mutation carriers. We evaluated the associations of three additional SNPs, rs4973768 in SLC4A7/NEK10, rs6504950 in STXBP4/COX11 and rs10941679 at 5p12 and reanalyzed the previous associations using additional carriers in a sample of 12,525 BRCA1 and 7,409 BRCA2 carriers. Additionally, we investigated potential interactions between SNPs and assessed the implications for risk prediction. The minor alleles of rs4973768 and rs10941679 were associated with increased BC risk for BRCA2 carriers (per-allele Hazard Ratio (HR)=1.10, 95%CI:1.03-1.18, p=0.006 and HR=1.09, 95%CI:1.01-1.19, p=0.03, respectively). Neither SNP was associated with BC risk for BRCA1 carriers and rs6504950 was not associated with BC for either BRCA1 or BRCA2 carriers. Of the nine polymorphisms investigated, seven were associated with BC for BRCA2 carriers (FGFR2, TOX3, MAP3K1, LSP1, 2q35, SLC4A7, 5p12, p-values:7×10−11-0.03), but only TOX3 and 2q35 were associated with the risk for BRCA1 carriers (p=0.0049, 0.03 respectively). All risk associated polymorphisms appear to interact multiplicatively on BC risk for mutation carriers. Based on the joint genotype distribution of the seven risk associated SNPs in BRCA2 mutation carriers, the 5% of BRCA2 carriers at highest risk (i.e. between 95th and 100th percentiles) were predicted to have a probability between 80% and 96% of developing BC by age 80, compared with 42-50% for the 5% of carriers at lowest risk. Our findings indicated that these risk differences may be sufficient to influence the clinical management of mutation carriers

Permaculture Design Plan for María Amor Foundation, Cuenca Ecuador

The María Amor Foundation, a women’s shelter for domestic abuse victims, sits on a largely unused plot of land. The goal of our project was to design an integrated land-use plan to provide food for internal use as well as to sell. Onsite we interviewed employees of the foundation and visited local farms to learn about the needs of the foundation and local agriculture practices. Our final design included functional, sustainable features which allows the shelter to serve as a safe space for women to recover and reconnect with nature. We left the property with suggestions on how to evolve to be completely self-sustaining

Factors associated with deciding between risk-reducing salpingo-oophorectomy and ovarian cancer screening among high-risk women enrolled in GOG-0199: an NRG Oncology/Gynecologic Oncology Group study.

OBJECTIVES: Women at increased genetic risk of ovarian cancer (OC) are recommended to have risk-reducing salpingo-oophorectomy (RRSO) after completion of reproductive planning. Effective screening has not been established, and novel screening modalities are being evaluated. METHODS: Participants chose either RRSO or a novel OC screening regimen (OCS) as their risk management option, and provided demographic and other data on BRCA mutation status, cancer worry, perceived intervention risks/benefits, perceived cancer risk, and quality-of-life at enrollment. We performed univariate and multivariate analyses to evaluate factors influencing decision between RRSO and OCS. RESULTS: Of 2287 participants enrolled, 904 (40%) chose RRSO and 1383 (60%) chose OCS. Compared with participants choosing OCS, participants choosing RRSO were older (p50%, both higher than objective risk estimates. CONCLUSIONS: Cancer worry, BRCA1/2 mutation status, and perceived intervention-related risks and benefits were associated with choosing between RRSO and OCS. Efforts to promote individualized, evidence-based, shared medical decision-making among high-risk women facing management choices should focus on conveying accurate OC risk estimates, clarifying the current understanding of intervention-related benefits and limitations, and addressing OC worry