Magnetohydrodynamic turbulence

We simulate incompressible, MHD turbulence using a pseudo-spectral code. Our major conclusions are as follows.

1) MHD turbulence is most conveniently described in terms of counter propagating shear Alfvén and slow waves. Shear Alfvén waves control the cascade dynamics. Slow waves play a passive role and adopt the spectrum set by the shear Alfvén waves. Cascades composed entirely of shear Alfvén waves do not generate a significant measure of slow waves.

2) MHD turbulence is anisotropic with energy cascading more rapidly along k_⊥ than along k_∥, where k_⊥ and k_∥ refer to wavevector components perpendicular and parallel to the local magnetic field. Anisotropy increases with increasing k_⊥ such that excited modes are confined inside a cone bounded by k_∥ ∝ k^γ_⊥ where γ less than 1. The opening angle of the cone, θ(k_⊥) ∝ k^-(1-γ)_⊥, defines the scale dependent anisotropy.

3) MHD turbulence is generically strong in the sense that the waves which comprise it suffer order unity distortions on timescales comparable to their periods. Nevertheless, turbulent fluctuations are small deep inside the inertial range. Their energy density is less than that of the background field by a factor θ² (k_⊥)≪1.

4) MHD cascades are best understood geometrically. Wave packets suffer distortions as they move along magnetic field lines perturbed by counter propagating waves. Field lines perturbed by unidirectional waves map planes perpendicular to the local field into each other. Shear Alfvén waves are responsible for the mapping's shear and slow waves for its dilatation. The amplitude of the former exceeds that of the latter by 1/θ(k_⊥) which accounts for dominance of the shear Alfvén waves in controlling the cascade dynamics.

5) Passive scalars mixed by MHD turbulence adopt the same power spectrum as the velocity and magnetic field perturbations.

6) Decaying MHD turbulence is unstable to an increase of the imbalance between the flux of waves propagating in opposite directions along the magnetic field. Forced MHD turbulence displays order unity fluctuations with respect to the balanced state if excited at low k by δ(t) correlated forcing. It appears to be statistically stable to the unlimited growth of imbalance.

7) Gradients of the dynamic variables are focused into sheets aligned with the magnetic field whose thickness is comparable to the dissipation scale. Sheets formed by oppositely directed waves are uncorrelated. We suspect that these are vortex sheets which the mean magnetic field prevents from rolling up.

8) Items (1)-(5) lend support to the model of strong MHD turbulence put forth by Goldreich and Sridhar (1995, 1997). Results from our simulations are also consistent with the GS prediction γ = 2/3. The sole not able discrepancy is that the 1D power law spectra, E(k_⊥) ∝ k^-∝_⊥, determined from our simulations exhibit ∝ ≈ 3/2, whereas the GS model predicts ∝ = 5/3.

Label-free detection of single biological molecules using microtoroid optical resonators

Being able to detect a single molecule without the use of labels has been a long standing goal of bioengineers and physicists. This would simplify applications ranging from single molecular binding studies to those involving public health and security, improved drug screening, medical diagnostics, and genome sequencing. One promising technique that has the potential to detect single molecules is the microtoroid optical resonator. The main obstacle to detecting single molecules, however, is decreasing the noise level of the measurements such that a single molecule can be distinguished from background. We have used laser frequency locking in combination with balanced detection and data processing techniques to reduce the noise level of these devices and report the detection of a wide range of nanoscale objects ranging from nanoparticles with radii from 100 to 2.5 nm, to exosomes, ribosomes, and single protein molecules (mouse immunoglobulin G and human interleukin-2). We further extend the exosome results towards creating a non-invasive tumor biopsy assay. Our results, covering several orders of magnitude of particle radius (100 nm to 2 nm), agree with the `reactive' model prediction for the frequency shift of the resonator upon particle binding. In addition, we demonstrate that molecular weight may be estimated from the frequency shift through a simple formula, thus providing a basis for an ``optical mass spectrometer'' in solution. We anticipate that our results will enable many applications, including more sensitive medical diagnostics and fundamental studies of single receptor-ligand and protein-protein interactions in real time. The thesis summarizes what we have achieved thus far and shows that the goal of detecting a single molecule without the use of labels can now be realized.

Regiões metropolitanas brasileiras e autonomia municipal: eficácia da norma constitucional brasileira e de experiências estrangeiras na gestão dos interesses regionais

O atendimento às demandas de determinada parcela da população que vive nas chamadas Regiões Metropolitanas no Brasil tem apresentado acentuada dificuldade em obter resultados satisfatórios, na medida em que estes espaços territoriais estejam situados em diferentes jurisdições político-territoriais. Tais dificuldades têm origem, sobretudo, na necessidade da composição de arranjos governamentais que possam atuar de forma conjunta e coordenada, abrangendo Estados e Municípios envolvidos nesta dinâmica metropolitana, e que abrange aspectos fiscais, sociais, ambientais e jurídicos. O presente trabalho analisa este último aspecto, sobretudo, em relação à questão das competências constitucionais dos entes envolvidos e o papel a ser desempenhado por cada um na regulação do solo urbano, um dos aspectos mais relevantes em relação ao tema metropolitano. Se a dependência de um eventual acordo entre os entes federativos tem se mostrado raro na história federativa brasileira, tal fato não pode constituir-se em um fator impeditivo do alcance dos direitos fundamentais estabelecidos pela Constituição Federal, principalmente levando-se em consideração que uma regulação adequada do solo urbano em uma perspectiva regional (metropolitana) é uma meio fundamental para o alcance de vários direitos, como moradia, meio ambiente equilibrado. Identificando o Estado-Membro como figura principal deste mister, por meio de uma interpretação sistemática e teleológica da Constituição, e reconhecendo o cenário de constitucionalização do direito administrativo atual bem como da chamada crise da lei, verifica-se que este ente federativo pode e deve assumir plenamente suas competências, elaborando um estudo técnico de planejamento regional, não necessariamente aprovado por lei formal, e vinculante para os Municípios.

Distributed Load Control in Multiphase Radial Networks

The current power grid is on the cusp of modernization due to the emergence of distributed generation and controllable loads, as well as renewable energy. On one hand, distributed and renewable generation is volatile and difficult to dispatch. On the other hand, controllable loads provide significant potential for compensating for the uncertainties. In a future grid where there are thousands or millions of controllable loads and a large portion of the generation comes from volatile sources like wind and solar, distributed control that shifts or reduces the power consumption of electric loads in a reliable and economic way would be highly valuable.

Load control needs to be conducted with network awareness. Otherwise, voltage violations and overloading of circuit devices are likely. To model these effects, network power flows and voltages have to be considered explicitly. However, the physical laws that determine power flows and voltages are nonlinear. Furthermore, while distributed generation and controllable loads are mostly located in distribution networks that are multiphase and radial, most of the power flow studies focus on single-phase networks.

This thesis focuses on distributed load control in multiphase radial distribution networks. In particular, we first study distributed load control without considering network constraints, and then consider network-aware distributed load control.

Distributed implementation of load control is the main challenge if network constraints can be ignored. In this case, we first ignore the uncertainties in renewable generation and load arrivals, and propose a distributed load control algorithm, Algorithm 1, that optimally schedules the deferrable loads to shape the net electricity demand. Deferrable loads refer to loads whose total energy consumption is fixed, but energy usage can be shifted over time in response to network conditions. Algorithm 1 is a distributed gradient decent algorithm, and empirically converges to optimal deferrable load schedules within 15 iterations.

We then extend Algorithm 1 to a real-time setup where deferrable loads arrive over time, and only imprecise predictions about future renewable generation and load are available at the time of decision making. The real-time algorithm Algorithm 2 is based on model-predictive control: Algorithm 2 uses updated predictions on renewable generation as the true values, and computes a pseudo load to simulate future deferrable load. The pseudo load consumes 0 power at the current time step, and its total energy consumption equals the expectation of future deferrable load total energy request.

Network constraints, e.g., transformer loading constraints and voltage regulation constraints, bring significant challenge to the load control problem since power flows and voltages are governed by nonlinear physical laws. Remarkably, distribution networks are usually multiphase and radial. Two approaches are explored to overcome this challenge: one based on convex relaxation and the other that seeks a locally optimal load schedule.

To explore the convex relaxation approach, a novel but equivalent power flow model, the branch flow model, is developed, and a semidefinite programming relaxation, called BFM-SDP, is obtained using the branch flow model. BFM-SDP is mathematically equivalent to a standard convex relaxation proposed in the literature, but numerically is much more stable. Empirical studies show that BFM-SDP is numerically exact for the IEEE 13-, 34-, 37-, 123-bus networks and a real-world 2065-bus network, while the standard convex relaxation is numerically exact for only two of these networks.

Theoretical guarantees on the exactness of convex relaxations are provided for two types of networks: single-phase radial alternative-current (AC) networks, and single-phase mesh direct-current (DC) networks. In particular, for single-phase radial AC networks, we prove that a second-order cone program (SOCP) relaxation is exact if voltage upper bounds are not binding; we also modify the optimal load control problem so that its SOCP relaxation is always exact. For single-phase mesh DC networks, we prove that an SOCP relaxation is exact if 1) voltage upper bounds are not binding, or 2) voltage upper bounds are uniform and power injection lower bounds are strictly negative; we also modify the optimal load control problem so that its SOCP relaxation is always exact.

To seek a locally optimal load schedule, a distributed gradient-decent algorithm, Algorithm 9, is proposed. The suboptimality gap of the algorithm is rigorously characterized and close to 0 for practical networks. Furthermore, unlike the convex relaxation approach, Algorithm 9 ensures a feasible solution. The gradients used in Algorithm 9 are estimated based on a linear approximation of the power flow, which is derived with the following assumptions: 1) line losses are negligible; and 2) voltages are reasonably balanced. Both assumptions are satisfied in practical distribution networks. Empirical results show that Algorithm 9 obtains 70+ times speed up over the convex relaxation approach, at the cost of a suboptimality within numerical precision.

The Mechanical Genome in Regulation and Infection

Biological information storage and retrieval is a dynamic process that requires the genome to undergo dramatic structural rearrangements. Recent advances in single-molecule techniques have allowed precise quantification of the nano-mechanical properties of DNA [1, 2], and direct in vivo observation of molecules in action [3]. In this work, we will examine elasticity in protein-mediated DNA looping, whose structural rearrangement is essential for transcriptional regulation in both prokaryotes and eukaryotes. We will look at hydrodynamics in the process of viral DNA ejection, which mediates information transfer and exchange and has prominent implications in evolution. As in the case of Kepler's laws of planetary motion leading to Newton's gravitational theory, and the allometric scaling laws in biology revealing the organizing principles of complex networks [4], experimental data collapse in these biological phenomena has guided much of our studies and urged us to find the underlying physical principles.

Comparative drift studies on streams in lower Austria (Flysch, gneiss and chalk formations) [Translation from: Schweizerische Zeitschrift fur Hydrobiologie 30 138-185, 1968.]

Seasonal changes and flooding have an extraordinarily great influence on the drift of organisms. The free water space plays the main part in the provision of food for some fish (Salmo trutta - trout): drift and content of the stomach are balanced here (Simuliidae): whereas others (Thymallus vulgaris) only selectively chose certain animals living at the bottom (molluscs). The total drift, drift of organisms and drift of organic material and minerals, plays a main role in the rate of production in streams. Besides the biology of the organisms living on the river bed, also the geological and hydrographical situation of the area plays a very important role for the composition of the drift. During the years 1964-1966 three streams in the characteristical geological formations flysch, gneiss and chalk of lower Austria were studied in regard to their drift. The Tulln (above St. Christopen), the Krems (above Senftenberg) and the Schwarza (above Hirschwang) seemed to be ideal for this comparative study because they are easy to reach. After summarising the hydrography and chemistry of examined rivers, the author examines the relationship between water level and total drift and the stratification of the total drift before analysing the drift of living organisms. Also considered are seasonal changes of drift of organisms and drift of exuviae.

O sistema de controle gerencial em empresas petrolíferas: um estudo de caso múltiplo: os casos da Petróleo Brasileiro S/A. (Petrobras) e da Shell Brasil Ltda

A partir da metade do século passado, a industrialização no Brasil entrou numa fase de grande expansão gerando um aumento na demanda por combustíveis. Neste contexto, a indústria petrolífera tomou um grau de importância espetacular que continua até hoje. O desempenho das empresas ligadas a cadeia de valor de combustíveis passaram a ser importantes para toda a economia, quer pela influência nos custos, como no mercado de capitais, pelos grandes investimentos que requerem. O presente estudo visa analisar os sistemas de controle gerencial das empresas Petróleo Brasileiro S/A (Petrobras) e Shell Brasil Ltda. Tendo como objetivo verificar se os seus sistemas de controle gerenciais estão aderentes a literatura sobre esse tema. A pesquisa de estudo de caso múltiplo foi executada através de entrevista com gerentes das duas petrolíferas sobre objetivos organizacionais, contabilidade por responsabilidade, processo orçamentário, balanced scorecard (BSC) e Enterprise Resource Planning (ERP). Também foram coletadas informações institucionais publicadas pelas duas empresas.

Distributed Control and Optimization for Communication and Power Systems

We are at the cusp of a historic transformation of both communication system and electricity system. This creates challenges as well as opportunities for the study of networked systems. Problems of these systems typically involve a huge number of end points that require intelligent coordination in a distributed manner. In this thesis, we develop models, theories, and scalable distributed optimization and control algorithms to overcome these challenges.

This thesis focuses on two specific areas: multi-path TCP (Transmission Control Protocol) and electricity distribution system operation and control. Multi-path TCP (MP-TCP) is a TCP extension that allows a single data stream to be split across multiple paths. MP-TCP has the potential to greatly improve reliability as well as efficiency of communication devices. We propose a fluid model for a large class of MP-TCP algorithms and identify design criteria that guarantee the existence, uniqueness, and stability of system equilibrium. We clarify how algorithm parameters impact TCP-friendliness, responsiveness, and window oscillation and demonstrate an inevitable tradeoff among these properties. We discuss the implications of these properties on the behavior of existing algorithms and motivate a new algorithm Balia (balanced linked adaptation) which generalizes existing algorithms and strikes a good balance among TCP-friendliness, responsiveness, and window oscillation. We have implemented Balia in the Linux kernel. We use our prototype to compare the new proposed algorithm Balia with existing MP-TCP algorithms.

Our second focus is on designing computationally efficient algorithms for electricity distribution system operation and control. First, we develop efficient algorithms for feeder reconfiguration in distribution networks. The feeder reconfiguration problem chooses the on/off status of the switches in a distribution network in order to minimize a certain cost such as power loss. It is a mixed integer nonlinear program and hence hard to solve. We propose a heuristic algorithm that is based on the recently developed convex relaxation of the optimal power flow problem. The algorithm is efficient and can successfully computes an optimal configuration on all networks that we have tested. Moreover we prove that the algorithm solves the feeder reconfiguration problem optimally under certain conditions. We also propose a more efficient algorithm and it incurs a loss in optimality of less than 3% on the test networks.

Second, we develop efficient distributed algorithms that solve the optimal power flow (OPF) problem on distribution networks. The OPF problem determines a network operating point that minimizes a certain objective such as generation cost or power loss. Traditionally OPF is solved in a centralized manner. With increasing penetration of volatile renewable energy resources in distribution systems, we need faster and distributed solutions for real-time feedback control. This is difficult because power flow equations are nonlinear and kirchhoff's law is global. We propose solutions for both balanced and unbalanced radial distribution networks. They exploit recent results that suggest solving for a globally optimal solution of OPF over a radial network through a second-order cone program (SOCP) or semi-definite program (SDP) relaxation. Our distributed algorithms are based on the alternating direction method of multiplier (ADMM), but unlike standard ADMM-based distributed OPF algorithms that require solving optimization subproblems using iterative methods, the proposed solutions exploit the problem structure that greatly reduce the computation time. Specifically, for balanced networks, our decomposition allows us to derive closed form solutions for these subproblems and it speeds up the convergence by 1000x times in simulations. For unbalanced networks, the subproblems reduce to either closed form solutions or eigenvalue problems whose size remains constant as the network scales up and computation time is reduced by 100x compared with iterative methods.

A potential approach to claims problems

Hart and Mas Colell (1989) introduce the potential function for cooperative TU games. In this paper, we extend this approach to claims problems, also known as bankruptcy or rationing problems. We show that for appropriate subproblems, the random arrival rule, the rules in the TAL-family (which include the uniform gains rule, the uniform losses rule and the Talmud rule), the minimal overlap rule, and the proportional rule admit a potential. We also study the balanced contributions property for these rules. By means of a potential, we introduce a generalization of the random arrival rule and mixtures of the minimal overlap rule and the uniform losses rule.

Nuclear magnetic resonance studies of protein conformation: I. Ribonuclease S. II. Hemoglobin

Fluorine nuclear magnetic resonance techniques have been used to study conformational processes in two proteins labeled specifically in strategic regions with covalently attached fluorinated molecules. In ribonuclease S, the ϵ-amino groups of lysines 1 and 7 were trifluoroacetylated without diminishing enzymatic activity. As inhibitors bound to the enzyme, changes in orientation of the peptide segment containing the trifluoroacetyl groups were detected in the nuclear magnetic resonance spectrum. pH Titration of one of the histidines in the active site produced a reversal of the conformational process.

Hemoglobin was trifluoroacetonylated at the reactive cysteine 93 of each β chain. The nuclear magnetic resonance spectrum of the fluorine moiety reflected changes in the equilibrium position of the β chain carboxy terminus upon binding of heme ligands and allosteric effectors. The chemical shift positions observed in deoxy- and methemoglobin were pH dependent, undergoing an abnormally steep apparent titration which was not observed in hemoglobin from which histidine β 146 had been removed enzymatically. The abnormal sharpness of these pH dependent processes is probably due to interactions between several ionizing groups.

The carbon monoxide binding process was studied by concurrent observation of the visible and nuclear magnetic resonance spectra of trifluoroacetonylated hemoglobin at fractional ligand saturations throughout the range 0-1.0. Comparison of the ligand binding process observed in these two ways yields evidence for a specific order of ligand binding. The sequence of events is sensitive to the pH and organic phosphate concentration of the medium, demonstrating the delicately balanced control system produced by interactions between the hemoglobin subunits and the effectors.

Pontes em estruturas segmentadas pré-moldadas protendidas: análise e contribuições ao gerenciamento do processo construtivo

Este trabalho tem por objetivo contribuir para a melhoria do gerenciamento do processo construtivo de execução de pontes e viadutos em estruturas segmentadas pré-moldadas protendidas, construídas em balanços sucessivos, com base em uma análise das metodologias adotadas e verificando a viabilidade de implantação de um modelo nos processos de gestão que utilizam métodos industriais para execução de obras de arte especiais. A partir da revisão da literatura técnica disponível e tomando como referência os métodos construtivos utilizados em dois canteiros de obras distintos, analisa-se a metodologia de gerenciamento construtivo adotada visando ao aperfeiçoamento do processo de fabricação e montagem, e consequente redução dos custos, desperdícios e prazos. Dentre os vários aspectos observados, ressalta-se a importância de se utilizar uma ferramenta de gerenciamento de projeto nas obras de pontes pré-moldadas, por se mostrarem um processo industrializado, repetitivo e com funcionamento similar a uma unidade fabril. Neste contexto, esta pesquisa visa fornecer subsídios para que se possam estabelecer diretrizes para uma melhor integração do projeto com a construção e conseqüente melhoria da execução nos canteiros de obras.

Un análisis empírico de las competencias directivas necesarias en la identificación de los empleados clave

[ES] El presente estudio analiza empíricamente de qué forma la composición de capital humano de los equipos directivos favorece el desarrollo de una de las fases más relevantes en la formulación de la estrategia de recursos humanos: la identificación de los empleados clave. Basándonos en las recientes llamadas de atención en la literatura en dirección de recursos humanos, este estudio parte de una perspectiva de "proceso" frente al clásico análisis de "contenido", con el fin de ir un paso más allá en la dinámica interna de estos procesos estratégicos. La aplicación del análisis de ecuaciones estructurales a través del procedimiento Partial Least Squares (PLS) sobre una muestra de 120 empresas españolas, reveló que la identificación de recursos humanos críticos requiere de habilidades cognitivas mixtas, tanto racionales como creativas, para completar eficientemente cada una de las etapas del proceso. Consecuentemente, la combinación de estas competencias se alcanzará en entornos de trabajo de carácter colectivista, favoreciendo la toma de decisiones cooperativa y colaborativa. En este contexto, el responsable de recursos humanos participará enriqueciendo con su poder experto las actividades más técnicas del proceso, para posteriormente integrar la información de recursos humanos en el proceso de deliberación estratégica con el resto de miembros del equipo. Asimismo, estos resultados ponen de manifiesto interesantes implicaciones profesionales relacionadas con la presencia de diversidad cognitiva de los equipos de alta dirección.

Discriminating languages in bilingual contexts: the impact of orthographic markedness

Does language-specific orthography help language detection and lexical access in naturalistic bilingual contexts? This study investigates how L2 orthotactic properties influence bilingual language detection in bilingual societies and the extent to which it modulates lexical access and single word processing. Language specificity of naturalistically learnt L2 words was manipulated by including bigram combinations that could be either L2 language-specific or common in the two languages known by bilinguals. A group of balanced bilinguals and a group of highly proficient but unbalanced bilinguals who grew up in a bilingual society were tested, together with a group of monolinguals (for control purposes). All the participants completed a speeded language detection task and a progressive demasking task. Results showed that the use of the information of orthotactic rules across languages depends on the task demands at hand, and on participants' proficiency in the second language. The influence of language orthotactic rules during language detection, lexical access and word identification are discussed according to the most prominent models of bilingual word recognition.

Analysis of Body Composition and Food Habits of Spanish Celiac Women

The purpose of the present work was both to analyze composition of Spanish celiac women and to study the food habits and gluten-free diet of these celiac patients, in order to determine whether they achieve a balanced and healthy diet as well as to highlight nutritional qualitative and/or quantitative differences. 54 adult celiac women (34 +/- 13 years) took part in the six-month study. Height, weight and body composition were measured. An analysis of energy consumption and of the macronutrient distribution of their diet was carried out. Their fulfillment of micronutrient intake recommendations was verified. Participants showed a Body Mass Index of 21.6 +/- 2.4 kg/m(2). Energy Intake was slightly lower than the Dietary Reference Intakes. Excessive protein apart from over-consumption of fat was observed. More than three quarters of participants consumed meat in excess. Carbohydrate consumption along with that of fiber was below recommended levels. Vitamin D, iron, and iodine had a low percentage of recommendation compliance. In general, participants followed the recommendations of dairy products and fruit intake whereas vegetable consumption was not enough for the vast majority. We conclude that although the diet of celiac women does not differ much from the diet of general population, some considerations, such as reducing fat and protein consumption and increasing fiber intake, must be taken into account.

Mutações no gene JARID1C e rearranjos subteloméricos como causas de deficiência intelectual familiar de etiologia idiopática

A Deficiência Intelectual (DI) é uma condição complexa, que acomete 2-3% da população mundial, constituindo um importante problema de saúde pública. No entanto, uma parcela significativa dos casos de DI permanece sem um diagnóstico definitivo, o que demonstra que muitos fatores etiológicos associados a esta condição ainda precisam ser elucidados. Há um consenso de que o número de homens com DI supera em 30% o número de mulheres, um achado atribuído à presença de mutações em genes localizados no cromossomo X. Dentre os genes presentes neste cromossomo que são expressos no cérebro, o Jumonji AT-rich interactive domain 1C (JARID1C) foi identificado como um potencial candidato a estar relacionado à DI ligada ao X (DILX). O gene JARID1C codifica uma desmetilase da lisina 4 da histona H3 (H3K4), imprescindível para a regulação epigenética. Tão importante quanto o estudo do gene JARID1C em pacientes com DI é a busca por variações no número de cópias gênicas (VNCs) em regiões cromossômicas subteloméricas. Genes relacionados ao desenvolvimento cerebral são enriquecidos em VNCs e as regiões subteloméricas são mais susceptíveis à formação destes rearranjos. Diante do exposto, neste estudo, investigamos mutações no gene JARID1C (exons 3, 4, 5, 8, 10, 14 e 23) em 148 homens portadores de DI pertencentes a famílias com padrão de segregação sugestivo de DILX. Paralelamente, analisamos VNCs subteloméricas em 174 homens com DI familiar de etiologia idiopática, independente do padrão de segregação. Para todos os indivíduos selecionados, amostras de DNA genômico foram extraídas a partir de sangue periférico e alterações genéticas frequentemente relacionadas à DI foram previamente excluídas (expansões trinucleotídicas nos loci FRAXA e FRAXE e mutações nos genes MECP2 e ARX). A análise do gene JARID1C foi realizada pela técnica de PCR, seguida da análise dos produtos amplificados por sequenciamento. Foram identificadas quatro variantes silenciosas (c.564G>A, c.633G>C, c.1884G>A, c.1902C>A). Através da análise in silico de sequências exônicas acentuadoras de splicing (ESEs) localizadas nas posições das variantes encontradas, foi possível classificar a variante c.1884G>A como neutra e as três variantes restantes como possíveis criadoras de ESEs. Já para a investigação das VNCs subteloméricas, foi utilizada a metodologia de Multiplex Ligation-dependent Probe Amplification (MLPA), capaz de identificar microdeleções e microduplicações nas 46 regiões subteloméricas. Para este fim, inicialmente, os indivíduos foram investigados pelo kit de MLPA P036, enquanto que para aqueles que exibiram alterações também foi utilizado o kit P070. A validação das VNCs encontradas foi realizada por PCR quantitativo em Tempo Real. A análise por MLPA revelou um indivíduo apresentando duas deleções (9p e 13q), um indivíduo apresentando duas amplificações (1p e 2p), dois indivíduos apresentando uma deleção e uma amplificação (18p e 18q; 4p e 8p), quatro indivíduos portadores de uma deleção cada (10p, 20p, 3q e 22q) e dois indivíduos com uma amplificação cada (7q e 20p). Algumas das alterações subteloméricas encontradas (2,87%) representam VNCs de relevância clínica para o estudo da DI, reforçando a importância do rastreamento de rotina de VNCs subteloméricas na DI familiar. Consideramos que a elucidação de novos genes ou mecanismos moleculares diretamente relacionados à DI é um caminho promissor e urgente para o estabelecimento de novas estratégias terapêuticas possíveis.