Andrés I. Ávila

On the existence and shape of least energy solutions for some elliptic systems

We establish an existence result for strongly indefinite semilinear elliptic systems with Neumann boundary condition, and we study the limiting behavior of the positive solutions of the singularly perturbed problem

Multiscale Modeling of Elastic Waves: Theoretical Justification and Numerical Simulation of Band Gaps

We consider a three-dimensional composite material made of small inclusions periodically embedded into an elastic matrix; the whole structure presents strong heterogeneities between its different components. In the general framework of linearized elasticity we show that, when the size of the microstructures tends to zero, the limit homogeneous structure presents, for some wavelengths, a negative “mass density” tensor. Hence we are able to rigorously justify the existence of forbidden bands, i.e., intervals of frequencies in which there is no propagation of elastic waves. In particular, we show how to compute these band gaps and illustrate the theoretical results with some numerical simulations.

Influencia de la heterogeneidad del paisaje en la ocurrencia de incendios forestales en Chile Central

Forest fi res are recognized as a serious problem. Despite its importance, research into modelling of forest fi re occurrence is lacking for the southern hemisphere, in particular for Chile. We investigated how landscape heterogeneity affects the probability of the occurrence of forest fi res in Central Chile. We fi tted a logistic regression model which included climatic, topographic, human-related and land-cover variables. Estimated probabilities of forest fi re occurrence increased positively

Ethanol Reduces Amyloid Aggregation In Vitro and Prevents Toxicity in Cell Lines

BACKGROUNDnAlzheimers disease (AD) alters cognitive functions. A mixture of soluble β-amyloid aggregates (Aβ) are known to act as toxic agents. It has been suggested that moderate alcohol intake reduces the development of neurodegenerative diseases, but the molecular mechanisms leading to this type of prevention have been elusive. We show the ethanol effect in the generation of complex Aβ in vitro and the impact on the viability of two cell lines.nnnMETHODSnThe effect of ethanol on the kinetics of β-amyloid aggregation in vitro was assessed by turbimetry. Soluble- and ethanol-treated β-amyloid were added to the cell lines HEK and PC-12 to compare their effects on metabolic activity using the MTT (3-(4,5-dimethylthiazol-2-yl)-2,5-diphenyltetrazolium bromide) assay. In addition, we used molecular modeling to assess the impact of exposure to ethanol on the structure of β-amyloid.nnnRESULTSnExposure to soluble β-amyloid was toxic to both cell lines; however, exposing the cells to β-amyloid aggregated in 10 mmol ethanol prevented the effect. In silico modeling suggested that ethanol alters the dynamics for assembling Aβ by disrupting a critical salt bridge between residues Asp 23 and Lys 28, required for amyloid dimerization. Thus, ethanol prevented the formation of complex short (∼100 nm) Aβ, which are related to higher cell toxicity.nnnCONCLUSIONSnEthanol prevents the formation of stable Aβ dimers in vitro, thus protecting the cells maintained in culture. Accordingly, in silico modelling predicts that soluble β-amyloid molecules do not form stable multimers when exposed to ethanol.

β-Ionone as putative semiochemical suggested by ligand binding on an odorant-binding protein of Hylamorpha elegans and electroantennographic recordings

Currently, odorant‐binding proteins (OBPs) are considered the first filter for olfactory information for insects and constitute an interesting target for pest control. Thus, an OBP (HeleOBP) from the scarab beetle Hylamorpha elegans (Burmeister) was identified, and ligand‐binding assays based on fluorescence and in silico approaches were performed, followed by a simulated binding assay. Fluorescence binding assays showed slight binding for most of the ligands tested, including host‐plant volatiles. A high binding affinity was obtained for β‐ionone, a scarab beetle‐related compound. However, the binding of its analogue α‐ionone was weaker, although it is still considered good. On the other hand, through a three‐dimensional model of HeleOBP constructed by homology, molecular docking was carried out with 29 related ligands to the beetle. Results expressed as free binding energy and fit quality (FQ) indicated strong interactions of sesquiterpenes and terpenoids (α‐ and β‐ionone) with HeleOBP as well as some aromatic compounds. Residues such as His102, Tyr105 and Tyr113 seemed to participate in the interactions previously mentioned. Both in silico scores supported the experimental affinity for the strongest ligands. Therefore, the activity of α‐ionone, β‐ionone and 2‐phenyl acetaldehyde at antennal level was studied using electroantenography (EAG). Results showed that the three ligands are electrophysiologically active. However, an aliquot of β‐ionone (represented by 3.0u2009ng) elicited stronger EAG responses in antennae of males than of females. Finally, the role of these ligands as potential semiochemicals for H.u2009elegans is discussed.

Three novel variants in the coagulation factor V gene associated with deep venous thrombosis in Chilean patients with Amerindian ethnic background.

BACKGROUNDnThe activated protein C (APC) resistance is the most common prothrombotic defect in thrombosis patients, mainly related with alterations in the F5 gene. In this work, we evaluated the presence of variants in the FV gene in Amerindian patients with deep venous thrombosis and APC resistance.nnnMETHODSnA total of 87 patients with deep venous thrombosis (DVT) confirmed by Doppler ultrasonography, and Amerindian genetic background, were included in this study. APC resistance was assayed by clotting methods and polymorphism F51691G>A was genotyped by molecular methods. In Amerindian patients with APC resistance, the promoter region, exon 7 and exon 10 of the F5 gene were screened by PCR-SSCP and DNA sequencing. The prediction of functional effect of novel mutations was analyzed using Polyphen-2 software.nnnRESULTSnIn DVT patients, 14.9% showed functional APC resistance in the absence of F51691G>A polymorphism. Interestingly, three novel missense mutations in exon 10 of F5 gene (M443L, E461Q and G493E) were identified. These genetic variants were absent in 100 healthy subjects. According to in silico analysis, the sequence variants G493E and E461Q are potentially deleterious.nnnCONCLUSIONSnOur data shows that the APC resistance phenotype is not associated with the presence of the F51691G>A variant. We described, for the first time, the presence of three novel variants in F5 gene in Chilean patients with APC resistance. Further studies are required to investigate the real contribution of these novel mutations to the APC resistance phenotype.

Similarity (range and kNN) queries processing on an Intel Xeon Phi coprocessor

Nowadays, the evolution of information technologies requires fast similarity search tools for analyzing new data types as audio, video, or images. The usual search by keys or records is not possible and to search on these databases is a compute-intensive problem. Regarding this, in the latest years, compute-intensive coprocessors (mainly NVIDIA GPUs) have been studied as a tool for accelerating sequential processing algorithms. In this work, we implement kNN and range queries on the recently launched Intel Xeon Phi coprocessor. We developed exhaustive and also indexing algorithms using the LC index. This index has been widely studied in sequential computing to accelerate similarity search on multimedia databases. We implement and compare different exhaustive and indexing versions showing some key factors in Xeon Phi to deal with this type of search. For indexing algorithms, we used a strategy based on cluster distribution among cores LC MIC Dist-C obtaining up to 168

Multiple solutions of nonlinear elliptic systems

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