959 resultados para third-order non-linearity


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This work deals with some classes of linear second order partial differential operators with non-negative characteristic form and underlying non- Euclidean structures. These structures are determined by families of locally Lipschitz-continuous vector fields in RN, generating metric spaces of Carnot- Carath´eodory type. The Carnot-Carath´eodory metric related to a family {Xj}j=1,...,m is the control distance obtained by minimizing the time needed to go from two points along piecewise trajectories of vector fields. We are mainly interested in the causes in which a Sobolev-type inequality holds with respect to the X-gradient, and/or the X-control distance is Doubling with respect to the Lebesgue measure in RN. This study is divided into three parts (each corresponding to a chapter), and the subject of each one is a class of operators that includes the class of the subsequent one. In the first chapter, after recalling “X-ellipticity” and related concepts introduced by Kogoj and Lanconelli in [KL00], we show a Maximum Principle for linear second order differential operators for which we only assume a Sobolev-type inequality together with a lower terms summability. Adding some crucial hypotheses on measure and on vector fields (Doubling property and Poincar´e inequality), we will be able to obtain some Liouville-type results. This chapter is based on the paper [GL03] by Guti´errez and Lanconelli. In the second chapter we treat some ultraparabolic equations on Lie groups. In this case RN is the support of a Lie group, and moreover we require that vector fields satisfy left invariance. After recalling some results of Cinti [Cin07] about this class of operators and associated potential theory, we prove a scalar convexity for mean-value operators of L-subharmonic functions, where L is our differential operator. In the third chapter we prove a necessary and sufficient condition of regularity, for boundary points, for Dirichlet problem on an open subset of RN related to sub-Laplacian. On a Carnot group we give the essential background for this type of operator, and introduce the notion of “quasi-boundedness”. Then we show the strict relationship between this notion, the fundamental solution of the given operator, and the regularity of the boundary points.

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The aspartic protease BACE1 (β-amyloid precursor protein cleaving enzyme, β-secretase) is recognized as one of the most promising targets in the treatment of Alzheimer's disease (AD). The accumulation of β-amyloid peptide (Aβ) in the brain is a major factor in the pathogenesis of AD. Aβ is formed by initial cleavage of β-amyloid precursor protein (APP) by β-secretase, therefore BACE1 inhibition represents one of the therapeutic approaches to control progression of AD, by preventing the abnormal generation of Aβ. For this reason, in the last decade, many research efforts have focused at the identification of new BACE1 inhibitors as drug candidates. Generally, BACE1 inhibitors are grouped into two families: substrate-based inhibitors, designed as peptidomimetic inhibitors, and non-peptidomimetic ones. The research on non-peptidomimetic small molecules BACE1 inhibitors remains the most interesting approach, since these compounds hold an improved bioavailability after systemic administration, due to a good blood-brain barrier permeability in comparison to peptidomimetic inhibitors. Very recently, our research group discovered a new promising lead compound for the treatment of AD, named lipocrine, a hybrid derivative between lipoic acid and the AChE inhibitor (AChEI) tacrine, characterized by a tetrahydroacridinic moiety. Lipocrine is one of the first compounds able to inhibit the catalytic activity of AChE and AChE-induced amyloid-β aggregation and to protect against reactive oxygen species. Due to this interesting profile, lipocrine was also evaluated for BACE1 inhibitory activity, resulting in a potent lead compound for BACE1 inhibition. Starting from this interesting profile, a series of tetrahydroacridine analogues were synthesised varying the chain length between the two fragments. Moreover, following the approach of combining in a single molecule two different pharmacophores, we designed and synthesised different compounds bearing the moieties of known AChEIs (rivastigmine and caproctamine) coupled with lipoic acid, since it was shown that dithiolane group is an important structural feature of lipocrine for the optimal inhibition of BACE1. All the tetrahydroacridines, rivastigmine and caproctamine-based compounds, were evaluated for BACE1 inhibitory activity in a FRET (fluorescence resonance energy transfer) enzymatic assay (test A). With the aim to enhancing the biological activity of the lead compound, we applied the molecular simplification approach to design and synthesize novel heterocyclic compounds related to lipocrine, in which the tetrahydroacridine moiety was replaced by 4-amino-quinoline or 4-amino-quinazoline rings. All the synthesized compounds were also evaluated in a modified FRET enzymatic assay (test B), changing the fluorescent substrate for enzymatic BACE1 cleavage. This test method guided deep structure-activity relationships for BACE1 inhibition on the most promising quinazoline-based derivatives. By varying the substituent on the 2-position of the quinazoline ring and by replacing the lipoic acid residue in lateral chain with different moieties (i.e. trans-ferulic acid, a known antioxidant molecule), a series of quinazoline derivatives were obtained. In order to confirm inhibitory activity of the most active compounds, they were evaluated with a third FRET assay (test C) which, surprisingly, did not confirm the previous good activity profiles. An evaluation study of kinetic parameters of the three assays revealed that method C is endowed with the best specificity and enzymatic efficiency. Biological evaluation of the modified 2,4-diamino-quinazoline derivatives measured through the method C, allow to obtain a new lead compound bearing the trans-ferulic acid residue coupled to 2,4-diamino-quinazoline core endowed with a good BACE1 inhibitory activity (IC50 = 0.8 mM). We reported on the variability of the results in the three different FRET assays that are known to have some disadvantages in term of interference rates that are strongly dependent on compound properties. The observed results variability could be also ascribed to different enzyme origin, varied substrate and different fluorescent groups. The inhibitors should be tested on a parallel screening in order to have a more reliable data prior to be tested into cellular assay. With this aim, preliminary cellular BACE1 inhibition assay carried out on lipocrine confirmed a good cellular activity profile (EC50 = 3.7 mM) strengthening the idea to find a small molecule non-peptidomimetic compound as BACE1 inhibitor. In conclusion, the present study allowed to identify a new lead compound endowed with BACE1 inhibitory activity in submicromolar range. Further lead optimization to the obtained derivative is needed in order to obtain a more potent and a selective BACE1 inhibitor based on 2,4-diamino-quinazoline scaffold. A side project related to the synthesis of novel enzymatic inhibitors of BACE1 in order to explore the pseudopeptidic transition-state isosteres chemistry was carried out during research stage at Università de Montrèal (Canada) in Hanessian's group. The aim of this work has been the synthesis of the δ-aminocyclohexane carboxylic acid motif with stereochemically defined substitution to incorporating such a constrained core in potential BACE1 inhibitors. This fragment, endowed with reduced peptidic character, is not known in the context of peptidomimetic design. In particular, we envisioned an alternative route based on an organocatalytic asymmetric conjugate addition of nitroalkanes to cyclohexenone in presence of D-proline and trans-2,5-dimethylpiperazine. The enantioenriched obtained 3-(α-nitroalkyl)-cyclohexanones were further functionalized to give the corresponding δ-nitroalkyl cyclohexane carboxylic acids. These intermediates were elaborated to the target structures 3-(α-aminoalkyl)-1-cyclohexane carboxylic acids in a new readily accessible way.

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The clonal distribution of BRAFV600E in papillary thyroid carcinoma (PTC) has been recently debated. No information is currently available about precursor lesions of PTCs. My first aim was to establish whether the BRAFV600E mutation occurs as a subclonal event in PTCs. My second aim was to screen BRAF mutations in histologically benign tissue of cases with BRAFV600E or BRAFwt PTCs in order to identify putative precursor lesions of PTCs. Highly sensitive semi-quantitative methods were used: Allele Specific LNA quantitative PCR (ASLNAqPCR) and 454 Next-Generation Sequencing (NGS). For the first aim 155 consecutive formalin-fixed and paraffin-embedded (FFPE) specimens of PTCs were analyzed. The percentage of mutated cells obtained was normalized to the estimated number of neoplastic cells. Three groups of tumors were identified: a first had a percentage of BRAF mutated neoplastic cells > 80%; a second group showed a number of BRAF mutated neoplastic cells < 30%; a third group had a distribution of BRAFV600E between 30-80%. The large presence of BRAFV600E mutated neoplastic cell sub-populations suggests that BRAFV600E may be acquired early during tumorigenesis: therefore, BRAFV600E can be heterogeneously distributed in PTC. For the second aim, two groups were studied: one consisted of 20 cases with BRAFV600E mutated PTC, the other of 9 BRAFwt PTCs. Seventy-five and 23 histologically benign FFPE thyroid specimens were analyzed from the BRAFV600E mutated and BRAFwt PTC groups, respectively. The screening of BRAF mutations identified BRAFV600E in “atypical” cell foci from both groups of patients. “Unusual” BRAF substitutions were observed in histologically benign thyroid associated with BRAFV600E PTCs. These mutations were very uncommon in the group with BRAFwt PTCs and in BRAFV600E PTCs. Therefore, lesions carrying BRAF mutations may represent “abortive” attempts at cancer development: only BRAFV600E boosts neoplastic transformation to PTC. BRAFV600E mutated “atypical foci” may represent precursor lesions of BRAFV600E mutated PTCs.

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BACKGROUND Non-steroidal anti-inflammatory drugs (NSAIDs) are the backbone of osteoarthritis pain management. We aimed to assess the effectiveness of different preparations and doses of NSAIDs on osteoarthritis pain in a network meta-analysis. METHODS For this network meta-analysis, we considered randomised trials comparing any of the following interventions: NSAIDs, paracetamol, or placebo, for the treatment of osteoarthritis pain. We searched the Cochrane Central Register of Controlled Trials (CENTRAL) and the reference lists of relevant articles for trials published between Jan 1, 1980, and Feb 24, 2015, with at least 100 patients per group. The prespecified primary and secondary outcomes were pain and physical function, and were extracted in duplicate for up to seven timepoints after the start of treatment. We used an extension of multivariable Bayesian random effects models for mixed multiple treatment comparisons with a random effect at the level of trials. For the primary analysis, a random walk of first order was used to account for multiple follow-up outcome data within a trial. Preparations that used different total daily dose were considered separately in the analysis. To assess a potential dose-response relation, we used preparation-specific covariates assuming linearity on log relative dose. FINDINGS We identified 8973 manuscripts from our search, of which 74 randomised trials with a total of 58 556 patients were included in this analysis. 23 nodes concerning seven different NSAIDs or paracetamol with specific daily dose of administration or placebo were considered. All preparations, irrespective of dose, improved point estimates of pain symptoms when compared with placebo. For six interventions (diclofenac 150 mg/day, etoricoxib 30 mg/day, 60 mg/day, and 90 mg/day, and rofecoxib 25 mg/day and 50 mg/day), the probability that the difference to placebo is at or below a prespecified minimum clinically important effect for pain reduction (effect size [ES] -0·37) was at least 95%. Among maximally approved daily doses, diclofenac 150 mg/day (ES -0·57, 95% credibility interval [CrI] -0·69 to -0·46) and etoricoxib 60 mg/day (ES -0·58, -0·73 to -0·43) had the highest probability to be the best intervention, both with 100% probability to reach the minimum clinically important difference. Treatment effects increased as drug dose increased, but corresponding tests for a linear dose effect were significant only for celecoxib (p=0·030), diclofenac (p=0·031), and naproxen (p=0·026). We found no evidence that treatment effects varied over the duration of treatment. Model fit was good, and between-trial heterogeneity and inconsistency were low in all analyses. All trials were deemed to have a low risk of bias for blinding of patients. Effect estimates did not change in sensitivity analyses with two additional statistical models and accounting for methodological quality criteria in meta-regression analysis. INTERPRETATION On the basis of the available data, we see no role for single-agent paracetamol for the treatment of patients with osteoarthritis irrespective of dose. We provide sound evidence that diclofenac 150 mg/day is the most effective NSAID available at present, in terms of improving both pain and function. Nevertheless, in view of the safety profile of these drugs, physicians need to consider our results together with all known safety information when selecting the preparation and dose for individual patients. FUNDING Swiss National Science Foundation (grant number 405340-104762) and Arco Foundation, Switzerland.

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Esta Tesis trata sobre el desarrollo y crecimiento -mediante tecnología MOVPE (del inglés: MetalOrganic Vapor Phase Epitaxy)- de células solares híbridas de semiconductores III-V sobre substratos de silicio. Esta integración pretende ofrecer una alternativa a las células actuales de III-V, que, si bien ostentan el récord de eficiencia en dispositivos fotovoltaicos, su coste es, a día de hoy, demasiado elevado para ser económicamente competitivo frente a las células convencionales de silicio. De este modo, este proyecto trata de conjugar el potencial de alta eficiencia ya demostrado por los semiconductores III-V en arquitecturas de células fotovoltaicas multiunión con el bajo coste, la disponibilidad y la abundancia del silicio. La integración de semiconductores III-V sobre substratos de silicio puede afrontarse a través de diferentes aproximaciones. En esta Tesis se ha optado por el desarrollo de células solares metamórficas de doble unión de GaAsP/Si. Mediante esta técnica, la transición entre los parámetros de red de ambos materiales se consigue por medio de la formación de defectos cristalográficos (mayoritariamente dislocaciones). La idea es confinar estos defectos durante el crecimiento de sucesivas capas graduales en composición para que la superficie final tenga, por un lado, una buena calidad estructural, y por otro, un parámetro de red adecuado. Numerosos grupos de investigación han dirigido sus esfuerzos en los últimos años en desarrollar una estructura similar a la que aquí proponemos. La mayoría de éstos se han centrado en entender los retos asociados al crecimiento de materiales III-V, con el fin de conseguir un material de alta calidad cristalográfica. Sin embargo, prácticamente ninguno de estos grupos ha prestado especial atención al desarrollo y optimización de la célula inferior de silicio, cuyo papel va a ser de gran relevancia en el funcionamiento de la célula completa. De esta forma, y con el fin de completar el trabajo hecho hasta el momento en el desarrollo de células de III-V sobre silicio, la presente Tesis se centra, fundamentalmente, en el diseño y optimización de la célula inferior de silicio, para extraer su máximo potencial. Este trabajo se ha estructurado en seis capítulos, ordenados de acuerdo al desarrollo natural de la célula inferior. Tras un capítulo de introducción al crecimiento de semiconductores III-V sobre Si, en el que se describen las diferentes alternativas para su integración; nos ocupamos de la parte experimental, comenzando con una extensa descripción y caracterización de los substratos de silicio. De este modo, en el Capítulo 2 se analizan con exhaustividad los diferentes tratamientos (tanto químicos como térmicos) que deben seguir éstos para garantizar una superficie óptima sobre la que crecer epitaxialmente el resto de la estructura. Ya centrados en el diseño de la célula inferior, el Capítulo 3 aborda la formación de la unión p-n. En primer lugar se analiza qué configuración de emisor (en términos de dopaje y espesor) es la más adecuada para sacar el máximo rendimiento de la célula inferior. En este primer estudio se compara entre las diferentes alternativas existentes para la creación del emisor, evaluando las ventajas e inconvenientes que cada aproximación ofrece frente al resto. Tras ello, se presenta un modelo teórico capaz de simular el proceso de difusión de fosforo en silicio en un entorno MOVPE por medio del software Silvaco. Mediante este modelo teórico podemos determinar qué condiciones experimentales son necesarias para conseguir un emisor con el diseño seleccionado. Finalmente, estos modelos serán validados y constatados experimentalmente mediante la caracterización por técnicas analíticas (i.e. ECV o SIMS) de uniones p-n con emisores difundidos. Uno de los principales problemas asociados a la formación del emisor por difusión de fósforo, es la degradación superficial del substrato como consecuencia de su exposición a grandes concentraciones de fosfina (fuente de fósforo). En efecto, la rugosidad del silicio debe ser minuciosamente controlada, puesto que éste servirá de base para el posterior crecimiento epitaxial y por tanto debe presentar una superficie prístina para evitar una degradación morfológica y cristalográfica de las capas superiores. En este sentido, el Capítulo 4 incluye un análisis exhaustivo sobre la degradación morfológica de los substratos de silicio durante la formación del emisor. Además, se proponen diferentes alternativas para la recuperación de la superficie con el fin de conseguir rugosidades sub-nanométricas, que no comprometan la calidad del crecimiento epitaxial. Finalmente, a través de desarrollos teóricos, se establecerá una correlación entre la degradación morfológica (observada experimentalmente) con el perfil de difusión del fósforo en el silicio y por tanto, con las características del emisor. Una vez concluida la formación de la unión p-n propiamente dicha, se abordan los problemas relacionados con el crecimiento de la capa de nucleación de GaP. Por un lado, esta capa será la encargada de pasivar la subcélula de silicio, por lo que su crecimiento debe ser regular y homogéneo para que la superficie de silicio quede totalmente pasivada, de tal forma que la velocidad de recombinación superficial en la interfaz GaP/Si sea mínima. Por otro lado, su crecimiento debe ser tal que minimice la aparición de los defectos típicos de una heteroepitaxia de una capa polar sobre un substrato no polar -denominados dominios de antifase-. En el Capítulo 5 se exploran diferentes rutinas de nucleación, dentro del gran abanico de posibilidades existentes, para conseguir una capa de GaP con una buena calidad morfológica y estructural, que será analizada mediante diversas técnicas de caracterización microscópicas. La última parte de esta Tesis está dedicada al estudio de las propiedades fotovoltaicas de la célula inferior. En ella se analiza la evolución de los tiempos de vida de portadores minoritarios de la base durante dos etapas claves en el desarrollo de la estructura Ill-V/Si: la formación de la célula inferior y el crecimiento de las capas III-V. Este estudio se ha llevado a cabo en colaboración con la Universidad de Ohio, que cuentan con una gran experiencia en el crecimiento de materiales III-V sobre silicio. Esta tesis concluye destacando las conclusiones globales del trabajo realizado y proponiendo diversas líneas de trabajo a emprender en el futuro. ABSTRACT This thesis pursues the development and growth of hybrid solar cells -through Metal Organic Vapor Phase Epitaxy (MOVPE)- formed by III-V semiconductors on silicon substrates. This integration aims to provide an alternative to current III-V cells, which, despite hold the efficiency record for photovoltaic devices, their cost is, today, too high to be economically competitive to conventional silicon cells. Accordingly, the target of this project is to link the already demonstrated efficiency potential of III-V semiconductor multijunction solar cell architectures with the low cost and unconstrained availability of silicon substrates. Within the existing alternatives for the integration of III-V semiconductors on silicon substrates, this thesis is based on the metamorphic approach for the development of GaAsP/Si dual-junction solar cells. In this approach, the accommodation of the lattice mismatch is handle through the appearance of crystallographic defects (namely dislocations), which will be confined through the incorporation of a graded buffer layer. The resulting surface will have, on the one hand a good structural quality; and on the other hand the desired lattice parameter. Different research groups have been working in the last years in a structure similar to the one here described, being most of their efforts directed towards the optimization of the heteroepitaxial growth of III-V compounds on Si, with the primary goal of minimizing the appearance of crystal defects. However, none of these groups has paid much attention to the development and optimization of the bottom silicon cell, which, indeed, will play an important role on the overall solar cell performance. In this respect, the idea of this thesis is to complete the work done so far in this field by focusing on the design and optimization of the bottom silicon cell, to harness its efficiency. This work is divided into six chapters, organized according to the natural progress of the bottom cell development. After a brief introduction to the growth of III-V semiconductors on Si substrates, pointing out the different alternatives for their integration; we move to the experimental part, which is initiated by an extensive description and characterization of silicon substrates -the base of the III-V structure-. In this chapter, a comprehensive analysis of the different treatments (chemical and thermal) required for preparing silicon surfaces for subsequent epitaxial growth is presented. Next step on the development of the bottom cell is the formation of the p-n junction itself, which is faced in Chapter 3. Firstly, the optimization of the emitter configuration (in terms of doping and thickness) is handling by analytic models. This study includes a comparison between the different alternatives for the emitter formation, evaluating the advantages and disadvantages of each approach. After the theoretical design of the emitter, it is defined (through the modeling of the P-in-Si diffusion process) a practical parameter space for the experimental implementation of this emitter configuration. The characterization of these emitters through different analytical tools (i.e. ECV or SIMS) will validate and provide experimental support for the theoretical models. A side effect of the formation of the emitter by P diffusion is the roughening of the Si surface. Accordingly, once the p-n junction is formed, it is necessary to ensure that the Si surface is smooth enough and clean for subsequent phases. Indeed, the roughness of the Si must be carefully controlled since it will be the basis for the epitaxial growth. Accordingly, after quantifying (experimentally and by theoretical models) the impact of the phosphorus on the silicon surface morphology, different alternatives for the recovery of the surface are proposed in order to achieve a sub-nanometer roughness which does not endanger the quality of the incoming III-V layers. Moving a step further in the development of the Ill-V/Si structure implies to address the challenges associated to the GaP on Si nucleation. On the one hand, this layer will provide surface passivation to the emitter. In this sense, the growth of the III-V layer must be homogeneous and continuous so the Si emitter gets fully passivated, providing a minimal surface recombination velocity at the interface. On the other hand, the growth should be such that the appearance of typical defects related to the growth of a polar layer on a non-polar substrate is minimized. Chapter 5 includes an exhaustive study of the GaP on Si nucleation process, exploring different nucleation routines for achieving a high morphological and structural quality, which will be characterized by means of different microscopy techniques. Finally, an extensive study of the photovoltaic properties of the bottom cell and its evolution during key phases in the fabrication of a MOCVD-grown III-V-on-Si epitaxial structure (i.e. the formation of the bottom cell; and the growth of III-V layers) will be presented in the last part of this thesis. This study was conducted in collaboration with The Ohio State University, who has extensive experience in the growth of III-V materials on silicon. This thesis concludes by highlighting the overall conclusions of the presented work and proposing different lines of work to be undertaken in the future.

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Thèse réalisée en cotutelle entre l'Université de Montréal et l'Université Pierre et Marie Curie, Paris 06, Sorbonne Universités.

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Bibliography: leaf 3.