Removing exogenous information using pedigree data

Management of certain populations requires the preservation of its pure genetic background. When, for different reasons, undesired alleles are introduced, the original genetic conformation must be recovered. The present study tested, through computer simulations, the power of recovery (the ability for removing the foreign information) from genealogical data. Simulated scenarios comprised different numbers of exogenous individuals taking partofthe founder population anddifferent numbers of unmanaged generations before the removal program started. Strategies were based on variables arising from classical pedigree analyses such as founders? contribution and partial coancestry. The ef?ciency of the different strategies was measured as the proportion of native genetic information remaining in the population. Consequences on the inbreeding and coancestry levels of the population were also evaluated. Minimisation of the exogenous founders? contributions was the most powerful method, removing the largest amount of genetic information in just one generation.However, as a side effect, it led to the highest values of inbreeding. Scenarios with a large amount of initial exogenous alleles (i.e. high percentage of non native founders), or many generations of mixing became very dif?cult to recover, pointing out the importance of being careful about introgression events in population

Methodology to assess economic and environmental impacts of nitrogen in fertirrigation systems.

To determine the risk of nitrate pollution in agricultural systems have identified several indexes and efficiencies that may lead an effective N fertilizer management for obtain the maximum yield with minimum environmental impact and health

Dynamic effect of high speed railway traffic loads on the ballast track settlement

The traditional ballast track structures are still being used in high speed railways lines with success, however technical problems or performance features have led to non-ballast track solution in some cases. A considerable maintenance work is needed for ballasted tracks due to the track deterioration. Therefore it is very important to understand the mechanism of track deterioration and to predict the track settlement or track irregularity growth rate in order to reduce track maintenance costs and enable new track structures to be designed. The objective of this work is to develop the most adequate and efficient models for calculation of dynamic traffic load effects on railways track infrastructure, and then evaluate the dynamic effect on the ballast track settlement, using a ballast track settlement prediction model, which consists of the vehicle/track dynamic model previously selected and a track settlement law. The calculations are based on dynamic finite element models with direct time integration, contact between wheel and rail and interaction with railway cars. A initial irregularity profile is used in the prediction model. The track settlement law is considered to be a function of number of loading cycles and the magnitude of the loading, which represents the long-term behavior of ballast settlement. The results obtained include the track irregularity growth and the contact force in the final interaction of numerical simulation

Estructura de una red esencial de señalización que regula la homeostasis iónica en plantas

Las plantas son organismos sésiles que han desarrollado la capacidad para detectar variaciones sutiles en su ambiente y producir respuestas adaptativas mediante rutas de señalización. Los estímulos causados por el estrés biótico y abiótico son numerosos y dependiendo del tiempo de exposición y su intensidad, pueden reducir la tasa de crecimiento de las plantas y la producción. Los cambios en la concentración del calcio citosólico libre constituyen una de las primeras reacciones intracelulares a las situaciones de estrés abiótico. En esta situación, el calcio actúa como segundo mensajero y las variaciones en su concentración son descodificadas por proteínas de unión a calcio. Las más conocidas son las manos-EF y los dominios C2. Los dominios C2 han sido descritos como dominios de unión a lípidos dependientes de calcio. Estos dominios se consideran proteínas periféricas solubles en agua que se asocian de manera reversible a los lípidos de la membrana mediante una o dos regiones funcionales: el sitio de unión a calcio y el sitio polibásico. A pesar de que se conoce la estructura molecular de algunos dominios C2, se desconocen aspectos relacionados como las reglas que dirigen su forma de interaccionar con los diferentes fosfolípidos y proteínas, la posición que ocupan en la bicapa lipídica y su papel en la transmisión de señales. En esta tesis se ha estudiado una proteína de Arabidopsis thaliana (At3g17980) representativa de una nueva familia de proteínas con dominios C2, que consiste únicamente de un dominio C2. Esta proteína, llamada AtC2.1, ha sido clonada en el vector pETM11, expresada en E. coli y purificada a homogeneidad en dos pasos cromatográficos. Se obtuvieron cristales de AtC2.1 de buena calidad mediante técnicas de difusión de vapor. La proteína fue co-cristalizada con calcio, fosfocolina (POC) y el fosfolípido 1,2-dihexanoil-sn-glicero-3-fosfo-L-serina (PSF). Se recogieron ocho conjuntos de datos de difracción de rayos X empleando radiación sincrotrón. Los cristales difractaron hasta 1.6 Å de resolución. Siete de ellos pertenecían al grupo ortorrómbico P212121, con las dimensiones de la celdilla unidad a = 35.3, b = 88.9, c = 110.6 Å, y un cristal pertenecía al grupo espacial monoclínico C2, con a = 124.84, b = 35.27, c = 92.32 Å y = 121.70º. La estructura se resolvió mediante la técnica MR-SAD utilizando el cinc como dispersor anómalo. La estructura cristalina mostró que la molécula forma un dímero en el que cada protómero se pliega como un dominio C2 típico, con la topología tipo II y presenta una inserción de 43 aminoácidos que la diferencia de los dominios C2 conocidos. El mapa de densidad electrónica mostró dos átomos de calcio por protómero. Se resolvieron las estructuras de AtC2.1 en complejo con POC o PSF. En ambos complejos, el análisis cristalográfico detectó máximos de densidad electrónica en la región correspondiente al sitio polibásico formado por las hebras 2, 3 5 y el lazo 3. Éstos se interpretaron correctamente como dos moléculas de POC y un átomo de cinc, en un complejo, y como la cabeza polar del PSF en el otro. AtC2.1 define un sitio de interacción con lípidos dependiente de cinc. En conclusión, en este trabajo se presenta la estructura tridimensional de AtC2.1, miembro representativo de una familia de proteínas de Arabidopsis thaliana, identificadas como proteínas que interaccionan con los receptores de ABA. Estas proteínas están constituidas únicamente por un dominio C2. El análisis conjunto de los datos biofísicos y cristalográficos muestra que AtC2.1 es un sensor de calcio que une lípidos usando dos sitios funcionales. Estos datos sugieren un mecanismo de inserción en membrana dependiente de calcio que trae consigo la disociación de la estructura dimérica y, por consiguiente, un cambio en las propiedades de superficie de la molécula. Este mecanismo proporciona las bases del reconocimiento y transporte de los receptores de ABA y/o otras moléculas a la membrana celular. Plants are sessile organisms that have developed the capacity to detect slight variations of their environment. They are able to perceive biotic and abiotic stress signals and to transduce them by signaling pathways in order to trigger adaptative responses. Stress factors are numerous and, depending on their exposition time and their concentration, can reduce plant growth rate, limiting the productivity of crop plants. Changes in the cytosolic free calcium concentration are observed as one of the earliest intracellular reactions to abiotic stress signals. Calcium plays a key role as a second messenger, and calcium concentration signatures, called calcium signals, are decodified by calcium binding proteins. The main calcium binding structures are the EF-hand motif and the C2 domains. C2 domain is a calcium dependent lipid-binding domain of approximately 130 amino acids. C2 domain displays two functional regions: the Ca-binding region and the polybasic cluster. Both of them can interact with the membrane phospholipids. Despite the number of C2 domain 3D structures currently available, questions about how they interact with the different target phospholipids, their precise spatial position in the lipid bilayer, interactions with other proteins and their role in transmitting signals downstream, have not yet been explored. In this work we have studied an uncharacterized protein from Arabidopsis thaliana (At3g17980) consisting of only a single C2 domain, as member of a new protein C2-domain family. This protein called AtC2.1 was cloned into the pETM11 vector and expressed in E. coli, allowing the purification to homogeneity in two chromatographic steps. Good quality diffracting crystals were obtained using vapor-diffusion techniques. Crystals were co-crystalized with calcium; phosphocholine (POC) and/or the phospholipid 1,2-dihexanoyl-sn-glycero-3-phospho-L-serine (PSF). Eight data set were collected with synchrotron radiation. Crystals diffracted up to 1.6 Å resolution and seven of them belong to the orthorhombic space group P212121, with unit-cell parameters a = 35.3, b = 88.9, c = 110.6 Å. Another crystal was monoclinic, space group C2, with a = 124.84, b = 35.27, c = 92.32 Å and = 121.70º. The structural model was solved by MR-SAD using Zn2+ as anomalous scatterer. The crystal structure shows that the molecule is a dimer. Each monomer was folded as a canonical C2 domain with the topology II with a 43 residues insertion. The electron density map reveals two calcium ions per molecule. Structures of AtC2.1, complexed with POC and PSF, have been solved. Well-defined extra electron densities were found, in both complexes, within the concave surface formed by strands 2, 3, 5 and loop 3 of AtC2.1. These densities were clearly explained by the presence of the two POC molecules, one zinc atom and head groups of PSF, occupying the cavity of the polybasic site. AtC2.1 defines a new metal dependent lipid-binding site into the polybasic site. In conclusion, in this thesis it is presented the molecular structure of AtC2.1, a representative member of a family of Arabidopsis thaliana C2 domain proteins, of unknown function, but identified as a molecular interacting unit of the ABA receptors. The joint analyses of the biophysical and crystallographic data show that AtC2.1 is a calcium sensor that binds lipids in two sites and suggest a model of calcium-dependent membrane insertion mechanism that will involve either dimer dissociation or a strong rearrangement of the dimeric structure. This mechanism may be the basis for the recognition and delivery of ABA receptors or other protein molecules to cell membranes.

Comparative exergy analysis of direct alcohol fuel cells using fuel mixtures

Within the last years there has been increasing interest in direct liquid fuel cells as power sources for portable devices and, in the future, power plants for electric vehicles and other transport media as ships will join those applications. Methanol is considerably more convenient and easy to use than gaseous hydrogen and a considerable work is devoted to the development of direct methanol fuel cells. But ethanol has much lower toxicity and from an ecological viewpoint ethanol is exceptional among all other types of fuel as is the only chemical fuel in renewable supply. The aim of this study is to investigate the possibility of using direct alcohol fuel cells fed with alcohol mixtures. For this purpose, a comparative exergy analysis of a direct alcohol fuel cell fed with alcohol mixtures against the same fuel cell fed with single alcohols is performed. The exergetic efficiency and the exergy loss and destruction are calculated and compared in each case. When alcohol mixtures are fed to the fuel cell, the contribution of each fuel to the fuel cell performance is weighted attending to their relative proportion in the aqueous solution. The optimum alcohol composition for methanol/ethanol mixtures has been determined.

Phylogenetic analyses and toxigenic profiles of Fusarium equiseti and Fusarium acuminatum isolated from cereals from Southern Europe

Fusarium equiseti and Fusarium acuminatum are toxigenic species that contaminate cereal crops from diverse climatic regions. They are common in Spanish cereals. The information available on their phylogenetics and toxigenic profiles is, however, insufficient to assist risk evaluation. In this work, phylogenetic analyses were performed using partial sequences of the translation elongation factor gene (EF-1a) of F. equiseti and F. acuminatum strains isolated from barley and wheat from Spain and other countries. The Northern and Southern European F. equiseti strains largely separated into two phylogenetically distinct clusters. This suggests the existence of two distinct populations within this species, explaining its presence in these regions of markedly different climate. Production of type A and B trichothecenes by the Spanish strains, examined in wheat cultures using a multitoxin analytical method, indicated that F. equiseti could produce deoxynivalenol and nivalenol and other trichothecenes, at concentrations that might represent a significant risk of toxin contamination for Southern European cereals. F. acuminatum showed low intraspecific genetic variability and 58% of the strains could produce deoxynivalenol at low level. Neither species was found to produce T-2 or HT-2 toxins. The present results provide important phylogenetic and toxigenic information essential for the accurate prediction of toxigenic risk.

Divergence of the IGS rDNA in Fusarium proliferatum and Fusarium globosum reveals two strain specific non-orthologous types

A phylogenic analysis of Fusarium proliferatum and closely related species was performed using the most variable part within the intergenic spacer of the nuclear ribosomal DNA (IGS) and compared with a previously reported phylogeny performed in the same group of samples with a partial region of the nuclear single copy gene encoding the elongation factor 1α (EF-1α). The phylogenies from both genomic sequences were not concordant and revealed the presence of two nonorthologous IGS types, named types I and II, in F. proliferatum and Fusarium globosum. Two specific PCR assays designed to amplify either IGS type I or type II revealed that only one IGS type was present in each individual in these two species. The presence of both IGS types at the species level indicates that homogenization has not been achieved yet. This might be retarded if panmictic sexual reproduction was affected by certain levels of clonal reproduction and/or by the diverse hosts that these species are able to colonize. This study indicates that taxonomic studies carried out with the IGS rDNA, which has been widely used in Fusarium, should be undertaken with caution.

Fusarium proliferatum isolated from garlic in Spain: Identification, toxigenic potential and pathogenicity on related Allium species

Fusarium proliferatum has been reported on garlic in the Northwest USA, Spain and Serbia, causing water-soaked tan-colored lesions on cloves. In this work, Fusarium proliferatum was isolated from 300 symptomatic garlic bulbs. Morphological identification of Fusarium was confirmed using species-specific PCR assays and EF-1α sequencing. Confirmation of pathogenicity was conducted with eighteen isolates. Six randomly selected F. proliferatum isolates from garlic were tested for specific pathogenicity and screened for fusaric acid production. Additionally, pathogenicity of each F. proliferatum isolate was tested on healthy seedlings of onion (Allium cepa), leek (A. porrum), scallions (A. fistulosum), chives (A. schoenoprasum) and garlic (A. sativum). A disease severity index (DSI) was calculated as the mean severity on three plants of each species with four test replicates. Symptoms on onion and garlic plants were observed three weeks after inoculation. All isolates tested produced symptoms on all varieties inoculated. Inoculation of F. proliferatum isolates from diseased garlic onto other Allium species provided new information on host range and pathogenicity. The results demonstrated differences in susceptibility with respect to host species and cultivar. The F. proliferatum isolates tested all produced fusaric acid (FA); correlations between FA production and isolate pathogenicity are discussed. Additionally, all isolates showed the presence of the FUM1 gene suggesting the ability of Spanish isolates to produce fumonisins.

Programa educativo “Deporte inclusivo en la escuela”: valoración de los profesores de educación física y de los deportistas paralímpicos participantes

El programa educativo de "Deporte Inclusivo en la Escuela" (DIE) se compone de una serie de actividades y recursos didácticos dirigidos a escolares de Secundaria Obligatoria y Bachillerato de la Comunidad de Madrid y a su profesorado, que busca la participación activa de personas con discapacidad en las actividades deportivas, fomentando los deportes paralímpicos a través de una metodología inclusiva, llevándose a cabo en las clases de Educación Física (EF). El presente trabajo, por un lado, analiza el citado programa a partir de la valoración de los profesores de Educación Física participantes (n=16, edad de media de 41,81 ± 7,06 años) de las ponencias de los deportistas paralímpicos que se han llevado a cabo dentro del programa DIE. Por otro lado, los deportistas paralímpicos (n=5, edad de media de 29,80 ± 6,83 años) han valorado el propio programa educativo. Para este fin y para recopilar la información necesaria, se han empleado dos cuestionarios diseñados a tal efecto. Estos cuestionarios han sido administrados tanto a los deportistas como a los profesores de EF de los centros respectivos participantes. Se calculó la media y desviación estándar para cada ítem estudiado. Se utilizó estadística no paramétrica, aplicándose la prueba U para evaluar las diferencias según género y edad (+/- 40 años) según pregunta utilizada. El nivel de significación fue establecido en p≤0,05. Los profesores valoran de forma muy positiva la disposición del deportista para dar a conocer los distintos aspectos de su vida deportiva (pregunta 5: 3,81 sobre 4) así como la propia identificación del deportista con los objetivos del programa (pregunta 2: 3,69 sobre 4). En relación al cuestionario de los deportistas Paralímpicos, éstos valoran muy positivamente la calidad del material deportivo prestado al centro para llevar a cabo el programa (pregunta 7: 4,6 sobre 5). Se puede concluir que la valoración de las ponencias por parte de los docentes, así como de los deportistas del propio programa, han sido más que satisfactorias, lo que indica que la inclusión de este tipo de ponencias en programas educativos deportivos es muy valorado por los profesores. Igualmente, los deportistas valoran de manera muy positiva el desarrollo de este tipo de programas educativos en el ámbito escolar.

Hábitos alimentarios y de actividad física en un grupo de adolescentes de la Comunidad de Madrid y su relación con el rendimiento académico

Objetivo Analizar y valorar la dieta de un grupo de alumnas de E.S.O de Madrid, y profundizar en la relación entre patrones de alimentación, rendimiento físico y rendimiento académico. Material y métodos Estudio descriptivo y transversal, de una muestra de 16 adolescentes de sexo femenino (15–18 años) del Instituto de Educación Secundaria de Sevilla la Nueva. Se realizó un análisis prospectivo de la dieta de 72 horas, medición antropométrica, un cuestionario de actividad física y otro general. Resultados Se observó un IMC medio de 20,9. El grupo presentó altos niveles de actividad física, con una media de 4 horas semanales (excluyendo las horas de Educación Física). El rendimiento académico se consideró como bueno, con una calificación media de 7. En promedio, la ingesta calórica total de las estudiantes fue de 2131±517 Kcal. El consumo energético se distribuye: 42% lípidos, 42% hidratos de carbono y 16% proteínas. Las grasas saturadas aportaron el 14% de la ingesta calórica, y el colesterol superó los valores recomendados. La ingesta de fibra, calcio, hierro, magnesio, vitamina D y vitamina E estaban por debajo de las recomendaciones. Conclusiones La dieta de las estudiantes de secundaria de Sevilla la Nueva es normocalórica, con un aporte excesivo de lípidos, en especial de grasas saturadas y colesterol, y un aporte deficitario de hidratos de carbono y ciertos micronutrientes como el Ca, Mg, Fe, la vitamina D y E. El hecho de realizar más horas semanales de EF no empeora el rendimiento académico y mejora la calificación en la materia de EF.

Artificial pancreas using a personalized rule-based controller achieves overnight normoglycemia in patients with type 1 diabetes

Objective: This study assessed the efficacy of a closed-loop (CL) system consisting of a predictive rule-based algorithm (pRBA) on achieving nocturnal and postprandial normoglycemia in patients with type 1 diabetes mellitus (T1DM). The algorithm is personalized for each patient’s data using two different strategies to control nocturnal and postprandial periods. Research Design and Methods: We performed a randomized crossover clinical study in which 10 T1DM patients treated with continuous subcutaneous insulin infusion (CSII) spent two nonconsecutive nights in the research facility: one with their usual CSII pattern (open-loop [OL]) and one controlled by the pRBA (CL). The CL period lasted from 10 p.m. to 10 a.m., including overnight control, and control of breakfast. Venous samples for blood glucose (BG) measurement were collected every 20 min. Results: Time spent in normoglycemia (BG, 3.9–8.0 mmol/L) during the nocturnal period (12 a.m.–8 a.m.), expressed as median (interquartile range), increased from 66.6% (8.3–75%) with OL to 95.8% (73–100%) using the CL algorithm (P<0.05). Median time in hypoglycemia (BG, <3.9 mmol/L) was reduced from 4.2% (0–21%) in the OL night to 0.0% (0.0–0.0%) in the CL night (P<0.05). Nine hypoglycemic events (<3.9 mmol/L) were recorded with OL compared with one using CL. The postprandial glycemic excursion was not lower when the CL system was used in comparison with conventional preprandial bolus: time in target (3.9–10.0 mmol/L) 58.3% (29.1–87.5%) versus 50.0% (50–100%). Conclusions: A highly precise personalized pRBA obtains nocturnal normoglycemia, without significant hypoglycemia, in T1DM patients. There appears to be no clear benefit of CL over prandial bolus on the postprandial glycemia

The potential of organic fertilizers and water management to reduce N2O emissions in Mediterranean climate cropping systems. A review.

Environmental problems related to the use of synthetic fertilizers and to organic waste management have led to increased interest in the use of organic materials as an alternative source of nutrients for crops, but this is also associated with N2O emissions. There has been an increasing amount of research into the effects of using different types of fertilization on N2O emissions under Mediterranean climatic conditions, but the findings have sometimes been rather contradictory. Available information also suggests that water management could exert a high influence on N2O emissions. In this context, we have reviewed the current scientific knowledge, including an analysis of the effect of fertilizer type and water management on direct N2O emissions. A meta-analysis of compliant reviewed experiments revealed significantly lower N2O emissions for organic as opposed to synthetic fertilizers (23% reduction). When organic materials were segregated in solid and liquid, only solid organic fertilizer emissions were significantly lower than those of synthetic fertilizers (28% reduction in cumulative emissions). The EF is similar to the IPCC factor in conventionally irrigated systems (0.98% N2O-N N applied−1), but one order of magnitude lower in rainfed systems (0.08%). Drip irrigation produces intermediate emission levels (0.66%). Differences are driven by Mediterranean agro-climatic characteristics, which include low soil organic matter (SOM) content and a distinctive rainfall and temperature pattern. Interactions between environmental and management factors and the microbial processes involved in N2O emissions are discussed in detail. Indirect emissions have not been fully accounted for, but when organic fertilizers are applied at similar N rates to synthetic fertilizers, they generally make smaller contributions to the leached NO3− pool. The most promising practices for reducing N2O through organic fertilization include: (i) minimizing water applications; (ii) minimizing bare soil; (iii) improving waste management; and (iv) tightening N cycling through N immobilization. The mitigation potential may be limited by: (i) residual effect; (ii) the long-term effects of fertilizers on SOM; (iii) lower yield-scaled performance; and (iv) total N availability from organic sources. Knowledge gaps identified in the review included: (i) insufficient sampling periods; (ii) high background emissions; (iii) the need to provide N2O EF and yield-scaled EF; (iv) the need for more research on specific cropping systems; and (v) the need for full GHG balances. In conclusion, the available information suggests a potential of organic fertilizers and water-saving practices to mitigate N2O emissions under Mediterranean climatic conditions, although further research is needed before it can be regarded as fully proven, understood and developed.

Impacto del efecto relativo de la edad y el género en la evaluación de la condición física en alumnos de secundaria.

El Efecto Relativo de la Edad (RAE) se refiere a la variabilidad en el potencial cognitivo y biológico, que aparece entre individuos agrupados por su edad cronológica, que provoca desigualdades en su rendimiento. El propósito de este estudio fue evaluar si la distribución de los nacimientos en el año y el género, afectan a la nota en Educación Física (EF) obtenida a través de test físicos. La nota de 252 alumnos (124 hombres y 128 mujeres) en los test físicos obtenidos en la asignatura de Educación Física, fue analizada formando 5 grupos de acuerdo al curso, divididos en cuatro cuartiles de nacimiento: a) Primer cuartil (Enero-Marzo); b) Segundo cuartil (Abril-Junio); c) Tercer cuartil (Julio-Septiembre); y d) Cuarto cuartil (Octubre-Diciembre) en cada una de las edades comprendidas entre 13 y 17 años. Aparecieron diferencias al comparar la nota en relación al cuartil de nacimiento (F(3, 24) = 5.39; p menor que .01; ?2 = .06 Potencia observada ß = .93) y respecto al género (F(1, 24) = 13.20; p menor que .01; ?2 = .05 Potencia observada ß = .95). Los resultados sugieren que existen diferencias en el rendimiento en las pruebas físicas en la asignatura de EF respecto al cuartil de nacimiento y al género. Basándose en la evidencia se podría sugerir la consideración por parte de los profesores de EF de estos resultados ya que las evaluaciones en Educación Física a través de test físicos podrían representar una desventaja a los alumnos nacidos en los meses finales del año. Al mismo tiempo diferencias de género aparecen al utilizar este tipo de evaluaciones.

Modelo numérico basado en el método de los elementos finitos para el estudio de la hidrodinámica de bahías y estuarios

Se ha desarrollado un modelo implícito no lineal 2-D en EF para la resolución de las ecuaciones de aguas poco profundas. La discretización espacial se ha realizado por medio de elementos lagrangianos isoparamétricos. Se ha aplicado la integración numérica de Simpson para obtener las matrices elementales, y para la integración temporal se han utilizado diferentes esquemas en diferencias finitas, comprobándose el modelo con diferentes ejemplos.

Optimización de mallas bidimensionales en elementos finitos

La solución al problema de encontrar la malla óptima en Elementos Finitos (EF), con un determinado número de grados de libertad, presenta un indudable interés en la aplicación del método. En la actualidad, el problema se plantea en términos de un proceso que permite obtener una mejor malla de elementos finitos a partir de una inicial. La nueva malla se diseña matemáticamente (remallado) de forma que el error del método sea lo más uniforme posible en todo el dominio de cálculo. Sin embargo, esta técnica de indudable interés y aplicación, al aumentar el número de grados de libertad (gdl) de la aproximación, no permite deducir de un modo directo el problema de la malla óptima condicionada a un número fijo de gdl. Con la solución de este problema se podrán deducir algunos criterios y recomendaciones para el diseño de una malla de elementos finitos, que exigirá, en general, en un proceso de remallado, modificaciones menores. Para problemas unidimensionales (barras y pilares simples), se pueden encontrar soluciones analíticas. Para problemas 2-D más complicados (tensión y deformación plana), se han utilizado métodos numéricos para obtener la malla óptima. Existen varios criterios de optimización, aquí se utiliza el del mínimo de la energía potencial total (EPT). Algunos ejemplos ilustrativos del método de optimización se presentan, indicándose algunas conclusiones.