Representación y clasificación de productos tensoriales torcidos

Esta tesis estudia la clasificación de los productos tensoriales torcidos de dos álgebras asociativas con unidad A y B, es decir, las estructuras de álgebra que puede adoptar el producto tensorial de espacios vectoriales subyacentes A B, compatibles con las estructuras de A y B. En primer lugar desarrollamos la teoría básica que se encuentra dispersa en varios artículos de investigación y establecemos como primer resultado propio, la dualidad que existe entre las aplicaciones de torcimiento de un producto tensorial torcido y su álgebra opuesta. Este resultado parece haber sido conocido entre los expertos del área sin embargo no se encuentra ninguna prueba en la literatura. Luego estudiamos el caso en que uno de los factores del producto tensorial torcido tiene dimensión finita. Por ejemplo si A tiene dimensión finita, se establece que bajo estas condiciones definir una aplicación de torcimiento de A con B es equivalente a definir un par de representaciones matriciales (p , ph), una de B y otra de Aop. La primera tiene coeficientes en A y la segunda tiene coeficientes en Endk(B). Además, obtenemos una representación matricial el del producto tensorial torcidos en Mn(B). Estas representaciones constituyen el resultado principal propio en el segundo capítulo. Como aplicación describimos los productos tensoriales torcidos estudiados por Cibils, Jara et al. y Guccione et al. en términos del par de representaciones (p , ph) y deducimos las condiciones que permiten a los autores en cada uno de los casos lograr una clasificación (parcial o total). A continuación nos enfocamos en las aplicaciones de torcimiento de Kn con Km. Establecemos una caracterización de estas aplicaciones de torcimiento en términos de matrices con coeficientes en K, la cual se debe a que ambas álgebras son conmutativas y de dimensión finita. Tal caracterización nos permite clasificar completamente las aplicaciones de torcimiento de rango reducido 1 que en nuestro lenguaje se ve muy diferente de la clasificación alcanzada por Jara et al.. Luego desarrollamos herramientas para el estudio de dos familias de productos tensoriales torcidos: las estándar y las casi-estándar. Estas herramientas permiten estudiar la relación entre las aplicaciones de torcimiento estándar, y casi-estándar, con las álgebras de camino de Quivers, y establecen una generalización del resultado obtenido por Cibils para n = 2. Para analizar utilizamos todos de los resultados obtenidos para clasificar los productos tensoriales torcidos en el caso de dimensiones bajas, incluyendo todas las aplicaciones de torcimiento de K3 con K3.Tesi

Twisted tensor products of K 3 with K 3

We describe all the twisted tensor products of K 3 with K 3, where K is an arbitrary field.Fil: Arce, Jack. Pontificia Universidad Católica de Perú; PerúFil: Guccione, Jorge Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaFil: Guccione, Juan Jose. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad de Buenos Aires; ArgentinaFil: Valqui, Christian. Pontificia Universidad Católica de Perú; Per

Epicardial adipose excision slows the progression of porcine coronary atherosclerosis

BACKGROUND: In humans there is a positive association between epicardial adipose tissue (EAT) volume and coronary atherosclerosis (CAD) burden. We tested the hypothesis that EAT contributes locally to CAD in a pig model. METHODS: Ossabaw miniature swine (n = 9) were fed an atherogenic diet for 6 months to produce CAD. A 15 mm length by 3–5 mm width coronary EAT (cEAT) resection was performed over the middle segment of the left anterior descending artery (LAD) 15 mm distal to the left main bifurcation. Pigs recovered for 3 months on atherogenic diet. Intravascular ultrasound (IVUS) was performed in the LAD to quantify atheroma immediately after adipectomy and was repeated after recovery before sacrifice. Coronary wall biopsies were stained immunohistochemically for atherosclerosis markers and cytokines and cEAT was assayed for atherosclerosis-related genes by RT-PCR. Total EAT volume was measured by non-contrast CT before each IVUS. RESULTS: Circumferential plaque length increased (p < 0.05) in the proximal and distal LAD segments from baseline until sacrifice whereas plaque length in the middle LAD segment underneath the adipectomy site did not increase. T-cadherin, scavenger receptor A and adiponectin were reduced in the intramural middle LAD. Relative to control pigs without CAD, 11β-hydroxysteroid dehydrogenase (11βHSD-1), CCL19, CCL21, prostaglandin D(2) synthase, gp91phox [NADPH oxidase], VEGF, VEGFGR1, and angiotensinogen mRNAs were up-regulated in cEAT. EAT volume increased over 3 months. CONCLUSION: In pigs used as their own controls, resection of cEAT decreased the progression of CAD, suggesting that cEAT may exacerbate coronary atherosclerosis

Coalescent-based species delimitation in the sand lizards of the Liolaemus wiegmannii complex (Squamata: Liolaemidae)

Coalescent-based algorithms coupled with the access to genome-wide data have become powerful tools forassessing questions on recent or rapid diversification, as well as delineating species boundaries in the absence of reciprocal monophyly. In southern South America, the diversification of Liolaemus lizards during the Pleistocene is well documented and has been attributed to the climatic changes that characterized this recent period of time. Past climatic changes had harsh effects at extreme latitudes, including Patagonia, but habitat changes at intermediate latitudes of South America have also been recorded, including expansion of sand fields over northern Patagonia and Pampas). In this work, we apply a coalescent-based approach to study the diversification of the Liolaemus wiegmannii species complex, a morphologically conservative clade that inhabits sandy soils across northwest and south-central Argentina, and the south shores of Uruguay. Using four standard sequence markers (mitochondrial DNA and three nuclear loci) along with ddRADseq data we inferred species limits and a time calibrated species tree for the L. wiegmannii complex in order to evaluate the influence of Quaternary sand expansion/retraction cycles on diversification. We also evaluated the evolutionary independence of the recently described L. gardeli and inferred its phylogenetic position relative to L. wiegmannii. We find strong evidence for six allopatric candidate species within L. wiegmannii, which diversified during the Pleistocene. The Great Patagonian Glaciation (∼1 million years before present) likely split the species complex into two main groups: one composed of lineages associated with sub-Andean sedimentary formations, and the other mostly related to sand fields in the Pampas and northern Patagonia. We hypothesize that early speciation within L. wiegmannii was influenced by the expansion of sand dunes throughout central Argentina and Pampas. Finally, L. gardeli is supported as a distinct lineage nested within the L. wiegmannii complex.Fil: Villamil, Joaquín. Universidad de la República. Facultad de Ciencias; UruguayFil: Avila, Luciano Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Centro Nacional Patagónico. Instituto Patagónico para el Estudio de los Ecosistemas Continentales; ArgentinaFil: Morando, Mariana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Centro Nacional Patagónico. Instituto Patagónico para el Estudio de los Ecosistemas Continentales; ArgentinaFil: Sites, Jack W.. University Brigham Young; Estados UnidosFil: Leaché, Adam D.. University of Washington; Estados UnidosFil: Maneyro, Raúl. Universidad de la República. Facultad de Ciencias; UruguayFil: Camargo Bentaberry, Arley. Universidad de la República; Urugua

Twisted Tensor Products of Kn with Km

We find three families of twisting maps of Km with Kn, where K is a field, and we make a detailed study of its properties. One of them is related to truncated quiver algebras, the second one consists of deformations of the first and the third one requires m = n and yields algebras isomorphic to Mn(K).Fil: Arce, Jack. Pontificia Universidad Católica del Perú. Sección Matemáticas; PerúFil: Guccione, Jorge Alberto. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaFil: Guccione, Juan Jose. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; ArgentinaFil: Valqui, Christian. Pontificia Universidad Católica del Perú. Sección Matemáticas; Perú. Instituto de Matemática y Ciencias Afines; Per

Rurality and social innovation processes and outcomes: A realist evaluation of rural social enterprise activities

Although increasingly prominent in research, policy and practice, little is known about social innovation in a rural context. To address this knowledge gap, our paper explores how rurality might affect the social innovation process. Drawing on 68 interviews carried out with beneficiaries, service providers and external stakeholders of a rural social enterprise initiative in Scotland, the paper adopts a realist evaluation theory (Pawson and Tilley, 1997) approach combined with Calò et al.’s (2019) social innovation analytical framework to identify Context-Mechanism-Outcome configurations for rural social innovation. The findings highlight that specific characteristics of rural places can act as stimuli of social innovation. Positive outcomes of a social innovation can potentially be rooted in rural peculiarity and its problematic context. Push factors, born out of necessity, lead to reactive social innovation and pull factors, derived through harnessing perceived opportunities in the environment, lead to proactive social innovation. Importantly, push factors do not undermine the establishment of social innovation – indeed, they can actually promote social innovation and strengthen its validity. The paper also shows that outcomes of the social innovation process might not be specific to rural areas. Instead, the pathway to the desired outcomes is conditioned by rural factors, shaping the contexts and mechanisms of rural social innovation. As different rural locations might have different resources to address local challenges, social innovation processes vary from one case to another, although the challenges being addressed might be similar. As such, rural social innovation policies should not be ‘over prescribed’. Context creates both challenges and solutions and influences the type and form of mechanisms used to achieve a desirable social innovation outcome

Methods for interpreting lists of affected genes obtained in a DNA microarray experiment

BACKGROUND: The aim of this paper was to describe and compare the methods used and the results obtained by the participants in a joint EADGENE (European Animal Disease Genomic Network of Excellence) and SABRE (Cutting Edge Genomics for Sustainable Animal Breeding) workshop focusing on post analysis of microarray data. The participating groups were provided with identical lists of microarray probes, including test statistics for three different contrasts, and the normalised log-ratios for each array, to be used as the starting point for interpreting the affected probes. The data originated from a microarray experiment conducted to study the host reactions in broilers occurring shortly after a secondary challenge with either a homologous or heterologous species of Eimeria. RESULTS: Several conceptually different analytical approaches, using both commercial and public available software, were applied by the participating groups. The following tools were used: Ingenuity Pathway Analysis, MAPPFinder, LIMMA, GOstats, GOEAST, GOTM, Globaltest, TopGO, ArrayUnlock, Pathway Studio, GIST and AnnotationDbi. The main focus of the approaches was to utilise the relation between probes/genes and their gene ontology and pathways to interpret the affected probes/genes. The lack of a well-annotated chicken genome did though limit the possibilities to fully explore the tools. The main results from these analyses showed that the biological interpretation is highly dependent on the statistical method used but that some common biological conclusions could be reached. CONCLUSION: It is highly recommended to test different analytical methods on the same data set and compare the results to obtain a reliable biological interpretation of the affected genes in a DNA microarray experimen