Sharp values for the constants in the polynomial Bohnenblust-Hille inequality

In this paper we prove that the complex polynomial Bohnenblust-Hille constant for $2$-homogeneous polynomials in ${\mathbb C}^2$ is exactly $\sqrt[4]{\frac{3}{2}}$. We also give the exact value of the real polynomial Bohnenblust-Hille constant for $2$-homogeneous polynomials in ${\mathbb R}^2$. Finally, we provide lower estimates for the real polynomial Bohnenblust-Hille constant for polynomials in ${\mathbb R}^2$ of higher degrees.Comment: 16 page

Excited electronic states from a variational approach based on symmetry-projected Hartree--Fock configurations

Recent work from our research group has demonstrated that symmetry-projected Hartree--Fock (HF) methods provide a compact representation of molecular ground state wavefunctions based on a superposition of non-orthogonal Slater determinants. The symmetry-projected ansatz can account for static correlations in a computationally efficient way. Here we present a variational extension of this methodology applicable to excited states of the same symmetry as the ground state. Benchmark calculations on the C$_2$ dimer with a modest basis set, which allows comparison with full configuration interaction results, indicate that this extension provides a high quality description of the low-lying spectrum for the entire dissociation profile. We apply the same methodology to obtain the full low-lying vertical excitation spectrum of formaldehyde, in good agreement with available theoretical and experimental data, as well as to a challenging model $C_{2v}$ insertion pathway for BeH$_2$. The variational excited state methodology developed in this work has two remarkable traits: it is fully black-box and will be applicable to fairly large systems thanks to its mean-field computational cost

Utilidad de los archivos de prensa en el estudio de inestabilidades de ladera en Asturias (NO de España)

[ResumenLa aplicación de los archivos de prensa al estudio de inestabilidades de ladera en Asturias plantea diversas limitaciones metodológicas. Entre ellas destacan la baja frecuencia de noticias referentes a inestabilidades, la recogida prácticamente exclusiva de aquellas que afectan a infraestructuras y la ausencia de una toma de datos de carácter científico. Sin embargo, el análisis de la información de 209 noticias pertenecientes al período 1980-94 ha puesto de manifiesto su utilidad en diversos aspectos, como la ubicación global de las inestabilidades de ladera en la Cuenca Carbonífera Central, y la valoración de su impacto sobre infraestructuras. Es destacable asimismo la posibilidad que ofrece este tipo de archivos como regis·tro cronológico de inestabilidades, lo que ha permitido establecer una aproximación a la relación temporal entre los eventos de precipitación e inestabilidad.[Abstract] The application of newspaper archives to the study of slope instabilities in Asturias has several methodological limitations. Sorne of them are the low frequency of news refering to slope instability and the publication of only those affecting people and infrastructures without a scientifical data collection. Nevertheless, the analysis of the information about 209 news in the period 198094 has evidenced its utility in showing the spatiallocation of instabilities in the Central Coal Basin, and giving an approach to its impact over infrastructures. It is also worth to point out the possibility of using these archives as chronological instability records. This has allowed the establishment of an approach to the temporal relationships between rainfal1 and instability events for the studied interval

1–42 b -Amyloid peptide requires PDK1/nPKC/Rac 1 pathway to induce neuronal death

1–42 b -Amyloid peptide requires PDK1/nPKC/Rac 1 pathway to induce neuronal death L Manterola 1,12 , M Hernando-Rodr ı ́ guez 2,12 , A Ruiz 3,4 , A Apraiz 5 , O Arrizabalaga 5 , L Vello ́ n 6 , E Alberdi 3,4 , F Cavaliere 3,4 , HM Lacerda 7 , S Jimenez 8,9 , LA Parada 10 , C Matute 3,4 and JL Zugaza 4,5,11 1–42 b -Amyloid (A b 1–42 ) peptide is a key molecule involved in the development of Alzheimer’s disease. Some of its effects are manifested at the neuronal morphological level. These morphological changes involve loss of neurites due to cytoskeleton alterations. However, the mechanism of A b 1–42 peptide activation of the neurodegenerative program is still poorly understood. Here, A b 1–42 peptide-induced transduction of cellular death signals through the phosphatidylinositol 3-kinase (PI3K)/ phosphoinositol-dependent kinase (PDK)/novel protein kinase C (nPKC)/Rac 1 axis is described. Furthermore, pharmacological inhibition of PDK1 and nPKC activities blocks Rac 1 activation and neuronal cell death. Our results provide insights into an unsuspected connection between PDK1, nPKCs and Rac 1 in the same signal-transduction pathway and points out nPKCs and Rac 1 as potential therapeutic targets to block the toxic effects of A b 1–42 peptide in neurons

Inestabilidad de laderas en el Valle del Meredal (Asturias, NO de España)

[Resumen] En el valle del Meredal se han identificado 64 movimientos en masa que incluyenmovimientos complejos, deslizamientos rotacionales, flujos y avalanchas rocosas, cuyo desarrollo está condicionado por el diferente comportamiento mecánico de los materiales del sustrato. La aplicación de distintos criterios de cronología relativa basados en el grado de superposición y conservación de las formas ha permitido diferenciar cinco clases de movimientos en masa en cuanto a su edad. Desde el punto de vista regional, la incisión de la red fluvial asociada a los cambios climáticos cuaternarios y a la elevación del margen cantábrico parece ser el factor determinante del origen de esta dinámica.[Abstract] In the Meredal valley 64 landslides, including complex movements, rock slumps,flows and rock avalanches have been identified. The development of these landslides is conditioned by the mechanical behaviour of the different bedrock lithologies. Five chronological classes of movements have been established by applying several relative chronology criteria, as superposition and preservation degree of the landslides. From the regional point of view, fluvial drainage incision linked to quaternary climate changes and to the uplift of the cantabrian margin seems to be determinant in the origin of this dynamics

Optimización de la extracción de aceite de semilla de dátil mediante la ayuda de tecnologías hidrotermales y de ultrasonido

The date seed is a by-product from the date industry. Its use as a source of added-value compounds is of great interest. Oil accounts for 5-13% of the seed’s weight. Soxhlet extraction with organic solvents is the traditional method for obtaining oil from seeds. In this work, hydrothermal pre-treatments and sonication are proposed to make the extraction a more environmentally friendly process. Factors such as sonication time and temperature and hexane-to-seed ratio (H/S) have been considered. Response surface methodology was applied for optimization. Hydrothermal treatments increased oil recovery. H/S was the most influential factor, and was close to 7 mL/g seeds for both samples. 71% recovery was achieved for native seeds after 15 min sonication at 45 ºC, and 80% for 180 ºC-treated seeds after 45 min at 35 ºC when compared to Soxhlet extraction. These conditions comply with our initial aim. Pre-treatments seem to have a negative effect on oil stability, although this observation needs to be confirmed.La semilla de dátil es un subproducto de la industria datilera. Su uso como fuente de compuestos de valor añadido sería muy interesante. El aceite representa el 5-13% del peso de la semilla. La extracción mediante Soxhlet con disolventes orgánicos es el método tradicional para obtener aceite de semillas. En este trabajo se proponen pretratamientos hidrotérmicos y sonicación para diseñar un proceso de extracción más respetuoso con el medio ambiente. Se han considerado factores como el tiempo y la temperatura de sonicación y la proporción hexano/semilla (H/S). La optimización del proceso se llevó a cabo por el método de superficie de respuesta. Los tratamientos hidrotérmicos aumentaron el porcentaje de recuperación. El factor más influyente fue H/S, y su valor óptimo estuvo cerca de 7 mL/g para ambas muestras. La recuperación óptima fue del 71% para las semillas sin tratamiento tras 15 min de sonicación a 45 ºC, y del 80% para las semillas tratadas a 180 ºC después de 45 min a 35 ºC. Estos resultados cumplen con nuestro objetivo inicial. Sin embargo, los pretratamientos parecen tener un efecto negativo sobre la estabilidad del aceite, lo que se confirmará en estudios posteriores

Synthesis, characterization, bioactivity and biocompatibility of nanostructured materials based on the wollastonite-poly(ethylmethacrylate-co-vinylpyrrolidone) system

Composite materials are very promising biomaterials for hard tissue augmentation. The approach assayed in this work involves the manufacturing of a composite made of a bioactive ceramic, natural wollastonite (W) and a nanostructured copolymer of ethylmethacrylate (EMA) and vinylpyrrolidone (VP) to yield a bioresorbable and biocompatible VP–EMA copolymer. A bulk polymerization was induced thermally at 508C, using 1 wt % azobis(isobutyronitrile) (AIBN) as free-radical initiator. Structural characterization, compressive strength, flexural strength (FS), degradation, bioactivity, and biocompatibility were evaluated in specimens with a 60/40 VP/EMA ratio and ceramic content in the range 0–60%. A good integration between phases was achieved. Greater compression and FS, in comparison with the pure copolymer specimens was obtained only when the ceramic load got up to 60% of the total weight. The soaking in NaCl solution resulted in the initial swelling of the specimens tested. The maximum swelling was reached after 2–3 h of immersion and it was significantly greater for lower ceramic loads. This result makes the polymer component the main responsible for the interactions with the media. After soaking in SBF, microdomains segregation can be observed in the polymer component that can be related with a dramatic difference in the reactivity of both monomers in free radical polymerization, whereas the formation of an apatite-like layer on the W surfaces can be observed. Biocompatibility in vitro studies showed the absence of cytotoxicity of all formulations. The cells were able to adhere on the polystyrene negative control and on specimens containing 60 wt % wollastonite forming a monolayer and showing a normal morphology. However, a low cellular growth was observed. 2008 Wiley Periodicals, Inc. J Biomed Mater Res 88A: 53–64, 2009Peer reviewe

Systematic identification of phenotypically enriched loci using a patient network of genomic disorders

Background Network medicine is a promising new discipline that combines systems biology approaches and network science to understand the complexity of pathological phenotypes. Given the growing availability of personalized genomic and phenotypic profiles, network models offer a robust integrative framework for the analysis of "omics" data, allowing the characterization of the molecular aetiology of pathological processes underpinning genetic diseases. Methods Here we make use of patient genomic data to exploit different network-based analyses to study genetic and phenotypic relationships between individuals. For this method, we analyzed a dataset of structural variants and phenotypes for 6,564 patients from the DECIPHER database, which encompasses one of the most comprehensive collections of pathogenic Copy Number Variations (CNVs) and their associated ontology-controlled phenotypes. We developed a computational strategy that identifies clusters of patients in a synthetic patient network according to their genetic overlap and phenotype enrichments. Results Many of these clusters of patients represent new genotype-phenotype associations, suggesting the identification of newly discovered phenotypically enriched loci (indicative of potential novel syndromes) that are currently absent from reference genomic disorder databases such as ClinVar, OMIM or DECIPHER itself. Conclusions We provide a high-resolution map of pathogenic phenotypes associated with their respective significant genomic regions and a new powerful tool for diagnosis of currently uncharacterized mutations leading to deleterious phenotypes and syndromes

Bases psicobiológicas de la adicción a cocaína

El principal mecanismo de acción de la cocaína es la inhibición de la recaptación de dopamina y noradrenalina, produciendo un aumento de estos neurotransmisores en la sinapsis. El consumo agudo de cocaína produce una serie de cambios bastante conocidos en el sistema cerebral de recompensa. Sin embargo, el consumo crónico, produce, además, otra serie de cambios a nivel molecular que llevan al sujeto desde una situación de consumo puntual, a una situación de dependencia. Se han propuesto diferentes teorías explicativas de este fenómeno como la sensibilización del incentivo, o la homeostasis y alostasis neuroquímica, planteamientos basados en el condicionamiento clásico y operante. Por otra parte, se ha señalado la intervención de diferentes moléculas y vías de segundos mensajeros, que producen, en última instancia, una serie de cambios neuronales mantenidos a muy largo plazo, probablemente permanentes, que se podrían relacionar con la vulnerabilidad a las recaídas, propia de la adicción a cocaína, incluso años después de abandonar el consumo