The Ellipse Law: Kirchhoff Meets Dislocations

In this paper we consider a nonlocal energy I \u3b1 whose kernel is obtained by adding to the Coulomb potential an anisotropic term weighted by a parameter \u3b1 08 R. The case \u3b1 = 0 corresponds to purely logarithmic interactions, minimised by the circle law; \u3b1 = 1 corresponds to the energy of interacting dislocations, minimised by the semi-circle law. We show that for \u3b1 08 (0 , 1) the minimiser is the normalised characteristic function of the domain enclosed by the ellipse of semi-axes 1-\u3b1 and 1+\u3b1. This result is one of the very few examples where the minimiser of a nonlocal anisotropic energy is explicitly computed. For the proof we borrow techniques from fluid dynamics, in particular those related to Kirchhoff\u2019s celebrated result that domains enclosed by ellipses are rotating vortex patches, called Kirchhoff ellipses

Estudio baropodométrico en pacientes tratados mediante artroplastia total de rodilla

La patología artrósica de la rodilla condiciona una disminución de la carga del miembro afecto y un patrón de apoyo con predominio generalmente del arco externo. El propósito de este estudio es determinar si existe una modificación significativa de este patrón tras la implantación de una artroplastia total de rodilla (ATR) primaria, recogiendo las presiones plantares de ambos pies mediante baropodometría electrónica previamente y 4 meses tras la cirugía, tanto en estática como en dinámica. Así, se analizan las presiones plantares de 30 pacientes, 21 mujeres y 9 hombres, intervenidos de ATR primaria en el Hospital Universitario Doctor Peset entre los años 2013 y 2015. También se ha determinado si existe una corrección del eje anatómico tras la cirugía. Utilizando test no paramétricos (test de Wilcoxon para datos apareados, U de Mann-Whitney), observamos una modificación significativa de dicho ángulo desde valores medianos de 1.2º de varo a 4.9º de valgo en el postoperatorio, una disminución mediana de la presión plantar en ambos pies y una redistribución de la carga axial, aumentando en el miembro intervenido. Concluimos que, 4 meses tras la cirugía, se produce una tendencia a la “normalización” de la pisada en pacientes en los que se ha implantado una ATR, condicionado tanto por la mejora del dolor y la funcionalidad como por la realineación del eje.Knee osteoarthritis determines a decrease of the load of the affected limb and a pattern usually dominance of external support plantar arc. The purpose of this study is to determine whether a significant change in this pattern is? after implantation of a primary total knee arthroplasty (TKA), measuring plantar pressures in both feet by electronic baropodometry previously and 4 months after surgery, in static and dynamic. Plantar pressures of 30 patients are analyzed, who underwent primary TKA at the University Hospital Doctor Peset between 2013 and 2015. In addition, it has also been determined if there is a correction on the anatomical axis after surgery. Using nonparametric test (Wilcoxon test for paired data, U Mann Whitney), we observed a significant change in the angle from median values of 1.2º varus to 4.9º valgus postoperatively, a median decrease of plantar pressure in both feet and a redistribution of axial load, increasing in the operated limb. We conclude that, 4 months after surgery, there is a tendency to “normalization” of the tread in patients undergoing TKA. This is conditioned by improving pain and function as axis realignment occurs

Sources for Chern-Simons theories

The coupling between Chern-Simons theories and matter sources defined by branes of different dimensionalities is examined. It is shown that the standard coupling to membranes, such as the one found in supergravity or in string theory, does not operate in the same way for CS theories; the only p-branes that naturally couple seem to be those with p=2n; these p-branes break the gauge symmetry (and supersymmetry) in a controlled and sensible manner.Comment: 17 pages, Dedicated to Claudio Bunster on the occasion of his 60th birthday. To appear in Quantum Mechanics of Fundamental Systems: The Quest for Beauty and Simplicit

New Distance-Based approach for Genome-Wide Association Studies

With the raise of genome-wide association studies (GWAS), the analysis of typical GWAS data sets with thousands of potentially predictive single nucleotide-polymorphisms (SNPs) has become crucial in Biomedicine research. Here, we propose a new method to identify SNPs related to disease in case-control studies. The method, based on genetic distances between individuals, takes into account the possible population substructure, and avoids the issues of multiple testing. The method provides two ordered lists of SNPs; one with SNPs which minor alleles can be considered risk alleles for the disease, and another one with SNPs which minor alleles can be considered as protective. These two lists provide a useful tool to help the researcher to decide where to focus attention in a first stage

A multiscale data-driven approach for bone tissue biomechanics

The data-driven methodology with application to continuum mechanics relies upon two main pillars: (i) experimental characterization of stress–strain pairs associated to different loading states, and (ii) numerical elaboration of the elasticity equations as an optimization (searching) algorithm using compatibility and equilibrium as constraints. The purpose of this work is to implement a multiscale data-driven approach using experimental data of cortical bone tissue at different scales. First, horse cortical bone samples are biaxially loaded and the strain fields are recorded over a region of interest using a digital image correlation technique. As a result, both microscopic strain fields and macroscopic strain states are obtained by a homogenization procedure, associated to macroscopic stress loading states which are considered uniform along the sample. This experimental outcome is here referred as a multiscale dataset. Second, the proposed multiscale data-driven methodology is implemented and analyzed in an example of application. Results are presented both in the macroscopic and microscopic scales, with the latter considered just as a post-process step in the formulation. The macroscopic results show non-smooth strain and stress patterns as a consequence of the tissue heterogeneity which suggest that a preassumed linear homogeneous orthotropic model may be inaccurate for bone tissue. Microscopic results show fluctuating strain fields – as a consequence of the interaction and evolution of the microconstituents – an order of magnitude higher than the averaged macroscopic solution, which evidences the need of a multiscale approach for the mechanical analysis of cortical bone, since the driving force of many biological bone processes is local at the microstructural level. Finally, the proposed multiscale data-driven technique may also be an adequate strategy for the solution of intractable large size multiscale FE2 computational approaches since the solution at the microscale is obtained as a postprocessing. As a main conclusion, the proposed multiscale data-driven methodology is a useful alternative to overcome limitations in the continuum mechanical study of the bone tissue. This methodology may also be considered as a useful strategy for the analysis of additional biological or technological hierarchical multiscale materials

Vegetative growth response of beets and lettuce to stored human urine

ArticleIn this work, we present the experimental results of the effect of stored human urine (SHU) on the growth of beets (Beta vulgaris L) and lettuce (Lactuca sativaL). We apply different amounts of SHU according to the recommended dose of nitrogen, considering soil from farmland and vermiculite as substrates. The last allows us to determine with high precision the isolated effect of SHU over the vegetative development of beet plants, without considering other nutrients present in common soils. Experimental results demonstrate that the application of SHU has no significant effects on lettuce vegetative growth under our soil conditions. In contrast, SHU can be used successfully as a fertilizer of beets. The optimum dose was found at 120kgN ha-1and resulted in average dry weight of 125g. However, if the dose exceeds the optimum levels, the growth of the plant is inhibited. Beets fertilized with SHU does not pose any hygienic risk for human consumption. Our findings represent a promising alternative to propose expanding the use of SHU as fertilizer in medium-sized greenhouses and to provide benefits to families in rural areas, with little or no available water supplies

Evaluation of polyherbal methionine and choline in feedlot rations for lambs

Requirements of lambs for choline and methionine have not been clearly established, but because of their metabolic relationship, the availability of these two nutrients may affect protein synthesis and energy balance. Therefore, a trial was carried out to evaluate the effect on productive performance and blood metabolites of including methionine and choline from polyherbal mixtures in finishing lamb diets. Forty Hampshire x Suffolk lambs weighing 26.9 ± 2.8 kg were used for a 45-day experiment. The treatments were arranged as a 2x2 factorial, in which the factors were dietary supplementation with herbal methionine and choline at two levels (0% and 0.4% of dry matter (DM)). The treatments had no effects on the lambs’ productive variables (daily feed intake, average daily gain, and feed to gain ratio), carcass characteristics and lipid metabolites (P >0.05). The results indicated that the inclusion of polyherbal mixtures containing methionine, choline and their combination at 0.4% of DM in finishing lamb diets showed no benefits in productive response or in blood metabolites related to lipid metabolism. Keywords: amino acid, lipid metabolites, productive performance, ruminally protected, vitami

Reusing intravaginal progesterone releasing devices for oestrous synchoronization in ewes

In this study, the second use of an intravaginal progesterone-releasing device or controlled intravaginal drug release device (CIDR) was evaluated. After a first use of 11 days, the CIDR was again used for either nine or 12 days with 200 or 300 IU equine chorionic gonadotrophin (eCG) being injected on its removal. Sixty-four ewes were randomly distributed to four treatments (n=16/group): CIDR9+eCG200, CIDR9+eCG300, CIDR12+eCG200, and CIDR12+eCG300. The eCG was administered intramuscularly on withdrawal of the device. Thus, the experiment was a completely randomized design with a 2×2 factorial arrangement of treatments. Oestrus presentation did not differ between treatments (P =0.29). However, with the dose of 200 IU of eCG, oestrus presentation tended to increase (P =0.08). The onset and duration of oestrus, percentage of gestation, and return to oestrus did not differ between treatments (P >0.05). Progesterone concentration in serum was greater (P < 0.05) in ewes treated with CIDR12+eCG300. Prolificacy was greatest (1.44) with the CIDR12+eCG300 treatment and was different (P = 0.001) from the treatments CIDR9+eCG200 (1.21) and CIDR9+eCG300 (1.20), but not from the CIDR12+eCG200 treated ewes (1.31). The CIDR12+eCG300 treatement produced the highest percentage of twin births (45.8%) (P =0.001). Leaving the device in place for 12 days increased (P =0.001) the incidence of twin births. Use of the CIDR for a second time synchronized oestrus in ewes successfully with better fertility being obtained when the device was left in place for 12 days, and 300 IU of eCG was injected on its removal. Key words: gonadotropin, progesterone device, synchronizatio

Nonlinear weakly curved rod by Γ-Convergence

We present a nonlinear model of weakly curved rod, namely the type of curved rod where the curvature is of the order of the diameter of the cross-section. We use an approach analogous to the one for rods and curved rods and start from the strain energy functional of three dimensional nonlinear elasticity. We do not impose any constitutional behavior of the material and work in a general framework. To derive the model, by means of Γ-convergence, we need to set the order of strain energy (i.e., its relation to the thickness of the body h). We analyze the situation when the strain energy (divided by the order of volume) is of the order h 4. This is the same approach as the one used in Föppl-von Kármán model for plates and the analogous model for rods. The obtained model is analogous to Marguerre-von Kármán for shallow shells and its linearization is the linear shallow arch model which can be found in the literature