Cette thèse est consacrée à l'étude de certaines questions de convergence et de récurrence multiples en théorie ergodique. Nous distinguons les systèmes munis d'une transformation et ceux munis de plusieurs transformations qui commutent. Dans les premiers, le mécanisme de facteurs caractéristiques et les nilsystèmes jouent un rôle important dans l'étude de convergence et de récurrence multiples. À l'aide de ces outils, nous étendons les résultats sur la convergence de moyennes ergodiquesmultiples pondérées de Host et Kra pour le cas linéaire au cas polynômial. En conséquence, nous montrons que pour toute fonction $f$ mesurable bornée sur un système ergodique, la suite $(f(T^n x))$ est universellement bonne pour presque tout $x$. Quand il y a plusieurs transformations qui commutent, à l'aide de la machinerie des systèmes magiques introduite récemment par Host et développée dans cette thèse, nous étendons les résultats sur la convergence de moyennes ergodiques multiples sur les cubes de Host et Kra avec une transformation à plusieurs transformations qui commutent. Nous obtenons aussi un résultat de récurrence multiple quantitatif pour deux transformations qui commutent, similaire en faveur du cas d'une transformation établi par Bergelson, Host et Kra / This thesis is devoted to the study of some questions of multiple convergence and recurrence in ergodic theory. We distinguish between systems endowed with a single transformation and systems endowed with several commuting transformations. In the former, characteristic factors and nilsystemsplay an important role in the study of multiple convergence and recurrence. Using these tools, we extend results on convergence of weighted multiple ergodic averages of Host and Kra for the linear case to the polynomial case. As a consequence, we show that for any bounded measurable function $f$ on an ergodic system, the sequence $f(T^n x)$ is universally good for almost every $x$. In systems endowed with several commuting transformations, we use the machinery of magic systems introduced recently by Host and further properties of magic systems developed in this thesis,to extend results of Host and Kra on convergence of multiple ergodic averages along cubes with a single transformation to commuting transformations. We obtain a quantitative multiple recurrence result for two commuting transformations, similar in flavour to that of a single transformationestablished by Bergelson, Host and Kra, but with a different conclusion

This study describes the development and validation of mutagenized cloned DNA constructs, which correspond to the polymorphic regions of the class II region of the HLA complex. The constructs were used to verify the allelic specificity of primers and probes in polymerase chain reaction (PCR)-based HLA typing assays such as Sequence Specific Primers (SSP) and Sequence Specific Oligonucleotide Probes (SSOP). The constructs consisted of the entire polymorphic region of exon 2 of class II HLA allele sequences that included primer annealing sites or probe hybridization sites. An HLA allele sequence was inserted into a plasmid, cloned, then mutagenized to match a specific HLA allele, and finally, the correct clone was verified by bidirectional sequencing of the insert. Thus, the construct created a cloned reference DNA sample for any specific allele, and can be used to validate the accuracy of various molecular methodologies.

The problem with which this investigation is concerned is that of a survey of the various integrated laboratory sequence programs at college and university chemistry departments. A preliminary questionnaire served to determine which chemistry departments had tried an ILS approach. Those departments which responded that they had tried an ILS approach and were willing to answer a questionnaire concerning it were sent copies of the main questionnaire. The returned copies of these two questionnaires form the source of data for the dissertation. The dissertation is organized into five chapters. The first chapter gives the background and significance, statement of the problem, the purposes and delimitations of the study, and a definition of terms. Chapter II is a review of the literature. Chapter III describes the collection of data. Construction, validation, administration, and analysis of the questionnaire are considered. The findings of the study are presented in Chapter IV. After an introduction, the occurrence of ILS programs and the reasons for trying or not trying an ILS approach are tabulated. The nature of the ILS programs which have been tried and the problems and changes that have occurred in the various programs are presented. The last part of Chapter IV is devoted to the perceived advantages and disadvantages of the ILS approach. Chapter V presents a summary of the findings. Conclusions are drawn and recommendations are made on the basis of the findings.

The aim of the thesis is to present the potential of constructivist approaches to teach sequences at high school, with special attention to the problems leading to generalisation. You will read about critical points in the process of generalisation which occurred in TIMSS and PISA international studies and which were examined in the teaching experiment. The question of motivation to learn mathematics is an essential part of this thesis as well as it is an essential part of constructivist approaches to teaching. Two chapters at the beginning analyze school curricular documents, science articles, school textbooks and TIMSS and PISA international studies which formed the theoretical frame of the teaching experiment. The teaching experiment is based on Hejný's theory of generic models and on constructivist approaches to teaching which are introduced in the third chapter. Chapter four which describes the teaching experiment and pre-experiment is the main part of the thesis. It brings inspiration how to deal with the critical points in the process of generalisation and how to motivate pupils to learn mathematics. Key words sequence, generalisation, mathematisation, motivation, approaches to teaching, constructivism

This thesis deals with an implementation of algorithm for computation of generator of almost split sequences ending at an indecomposable nonprojective module of path algebra over finite quiver. Algorithm is implemented in algebra system GAP (Groups, Algorithms, Programming) with additional package QPA (Quivers and Path Algebras). Powered by TCPDF (www.tcpdf.org)

Le nombre d’enfants nés par Assistance Médicale à la Procréation (AMP) dans le monde est estimé à plus de 5 millions, représentant jusqu’à 4% des naissances. Environ 10% des couples en âge de procréer sont actuellement infertiles, et leur apporter des techniques pour devenir parents est devenu un problème de santé publique. Cependant, l’innocuité de ces techniques n’a pas été totalement démontrée. Notamment, le risque de pathologies d’origine placentaire pourrait être augmenté. De plus, des issues périnatales défavorables, un risque majoré de malformations majeures et de pathologies liées à l’empreinte ont été rapportés chez ces enfants. Ceci soulève la question d’une éventuelle vulnérabilité épigénétique induite par l’AMP. L’objectif de ce travail de thèse était d’étudier la régulation épigénétique des gènes soumis à empreinte (GSE) et des éléments transposables (TE) dans le placenta et le sang de cordon d’enfants conçus par AMP comparés à des enfants conçus naturellement. En guise d’introduction, nous avons rédigé une revue détaillée des modifications phénotypiques et épigénétiques induites par l’AMP dans les embryons, le placenta et le sang de cordon chez l’Homme et sur les modèles animaux.Au cours de cette thèse, une cohorte de presque 250 patientes a été incluse prospectivement, répartie en 4 groupes de patientes selon la technique d’AMP et 4 groupes de témoins selon la durée d’infertilité.A partir de cette cohorte, la première question posée a été l’effet de la Fécondation in vitro (FIV) sur la méthylation de l’ADN et/ou la transcription des GSE et TE dans le sang de cordon et le placenta à la naissance. Pour cela, nous avons sélectionné 51 patientes enceintes après FIV avec ou sans ICSI avec transfert d’embryon frais à J2 et les avons comparées à 48 témoins enceintes dans l’année après l’arrêt de la contraception. Nous avons étudié la méthylation de l’ADN et l’expression de 3 GSE et 4 TE. Les niveaux de méthylation de l’ADN placentaire pour H19/IGF2, KCNQ1OT1, LINE-1 et ERVFRD-1 et le niveau d’expression placentaire d’ERVFRD-1 étaient plus bas dans le groupe FIV/ICSI que dans le groupe contrôle. Ces modifications épigénétiques pourraient faire partie des mécanismes de compensation développés pendant la grossesse après AMP, comme discuté dans notre revue.Ensuite, nous avons voulu déterminer si ces changements de méthylation de l’ADN des GSE pouvaient être associés à des modifications des histones. A partir de la cohorte précédente, nous avons sélectionné 16 patientes du groupe FIV/ICSI avec des niveaux de méthylation dans le placenta inférieurs au 5ème percentile pour au moins un des GSE étudiés. Elles ont été appariées à 16 témoins sur la parité, le sexe du nouveau-né et l’âge gestationnel à l’accouchement. Des marques permissives (H3K4me2 et me3 et H3K9ac) et répressives (H3K9me2 et me3) ont été étudiées. Les résultats ont révélé une quantité significativement augmentée de H3K4me2 dans le groupe FIV/ICSI pour H19/IGF2 et KCNQ1OT1. La quantité des deux marques répressives pour H19/IGF2 et SNURF était significativement abaissée dans le groupe FIV/ICSI.Ces données montrent que l’hypométhylation de l’ADN au niveau des GSE pourrait être associée à une augmentation des marques permissives et une diminution des marques répressives des histones, ce qui permettrait de favoriser un état « actif » de la chromatine au niveau de l’allèle normalement réprimé.Nos résultats, ainsi que les données de la littérature, renforcent l’hypothèse de potentiels mécanismes mis en place dans le placenta après AMP, utiles pour compenser des anomalies précoces de la placentation, qui seraient écrits à travers des modifications épigénétiques comme la méthylation de l’ADN mais aussi les modifications des histones.Bien que certaines questions restent en suspens, cette thèse a permis de bâtir les fondations de travaux futurs, notamment pour étudier l’impact de la congélation/décongélation des embryons et le rôle joué par l’infertilité en elle-même. / It is estimated that more than five million children have been born by Assisted Reproductive Technologies (ART) worldwide, representing up to 4% of all births. As around 10% of reproductive-aged couples are currently infertile, providing them with treatment options is a public health issue. However, the safety of these techniques has not been fully demonstrated. Notably, the rate of placenta-related adverse pregnancy outcomes could be increased after ART. Moreover, adverse perinatal outcomes, a higher risk of major malformations and imprinting disorders have also been reported in children born following ART. These issues combined raise the question of a potential ART-induced epigenetic vulnerability.The aim of this thesis was to investigate the epigenetic regulation of imprinted genes (IGs) and transposable elements (TEs) in the placenta and cord blood of children conceived by ART and to compare them to children conceived naturally.By way of introduction, we wrote a comprehensive review about phenotypic and epigenetic modifications induced by ART in embryos, placenta and cord blood either in human or animal models.Then, an extensive cohort of almost 250 patients was prospectively included, resulting in 4 groups of ART techniques and 4 groups of controls stratified on the time to pregnancy.From this cohort, the first question we investigated was the effect of in vitro fertilization (IVF) on DNA methylation and/or transcription of TEs and IGs in cord blood and placenta collected at birth. For this purpose, we selected 51 pregnant women after IVF with fresh embryo transfer at day -2 and compared them with 48 controls pregnant within 1 year of stopping contraception. We studied the DNA methylation and expression of 3 imprinted DMRs and 4 TEs. DNA methylation levels for H19/IGF2 and KCNQ1OT1 DMRs, LINE-1 and ERVFRD-1 in the placenta were lower in the IVF/ICSI group than in the control group. The expression level of ERVFRD-1 in the placenta was also lower in the IVF/ICSI group than in the control group. These modifications in epigenetic regulation may influence some compensation mechanisms developed throughout pregnancy after ART, as discussed in our review.We then intended to determine if these DNA methylation changes in IGs were associated with histone modifications. From the previously mentioned cohort, we selected the 16 patients from the IVF/ICSI group who presented with below the 5th percentile of percentage placenta DNA methylation for at least one of the previously studied DMRs. These patients were compared with 16 controls matched for parity, new-born sex, and gestational age at delivery. Permissive (H3K4me2 and me3 and H3K9ac) and repressive (H3K9me2 and me3) histone marks were studied. The results revealed a significantly higher quantity of H3K4me2 in the IVF/ICSI group than in the natural conception group for H19/IGF2 and KCNQ1OT1 DMRs. The quantity of both repressive marks at H19/IGF2 and SNURF DMRs was significantly lower in the IVF/ICSI group than in the natural conception group.These data demonstrate that DNA hypomethylation at imprinted DMRs may be associated with an increase in permissive histone marks and a decrease in repressive histone marks. This is consistent with a more “active” chromatin conformation on the normally repressed allele.Our findings, together with the literature data, reinforce the hypothesis that some mechanisms are established in the placenta after ART, probably to mediate placental plasticity and compensate primary disorders in trophoblastic invasion, and written through epigenetic changes such as DNA methylation but also histone modifications.Although some questions remain unanswered, this thesis paves the way for further original studies, notably to assess the impact of frozen-thawed embryo transfer and to decipher the role of infertility per se.

Esta dissertação versa sobre o ensino de Sequências e Séries na educação básica. A questão é entender em que medida o uso da Teoria dos Registros de Representação Semiótica se mostra favorável à criação de atividades que sejam propícias à aprendizagem dos alunos. Foram elaboradas dez atividades sobre Sequências e Séries e foi feita uma aplicação de quatro destas atividades com alunos de 1a série do ensino médio. Com esta aplicação, procurou-se buscar evidências de que o uso de diversos registros de representação semiótica favorecem a aprendizagem dos alunos em Matemática. Como escopo secundário, buscamos também investigar a concepção de infinito que os alunos manifestaram durante a aplicação das atividades. Antes, porém, buscamos na história da Matemática diferentes maneiras de como filósofos e matemáticos concebiam e utilizavam o infinito. Visto que Sequências e Séries também são assunto tratados no ensino superior, foram abordadas algumas dificuldades de transição ensino básico/ensino superior tendo em vista diferenças culturais entre os dois níveis de ensino. Concluímos que o uso de materiais concretos para representação de objetos matemáticos se mostrou favorável à compreensão dos alunos e a concepção de infinito dos alunos está predominantemente ligada a ideia de infinito potencial. / The subject of this research is about teaching and learning sequences and series in primary education. The research question is to understand how favorable is the use of the theory of semiotic representation registers to create activities that help students to learn. Were created ten activities about sequences and series and four of these were chosen to be used in a classroom with 1st year students of a secondary school. By observing these activities being used in classroom, evidences were searched to evaluate if including different semiotic representation registers facilitates student\'s learning on mathematics. As a secondary aim, the student\'s infinity conception is investigated in the classroom. We also researched mathematics\' history to find different conceptions adopted by philosophers and mathematicians on infinity. As sequences and series are also studied in college, some transition difficulties (from High School to College) were discussed considering cultural differences between the two educational levels. It was concluded that concrete teaching materials to the students\' comprehension and the students\' concept of infinity is mainly linked to potential infinity.

O presente estudo procura identificar grupos homogêneos de indivíduos quanto aos padrões de seqüências de atividades diárias que estes realizam. As atividades são caracterizadas por múltiplos atributos, fazendo com que as seqüências sejam multidimensionais. Como atributos, ou características, são considerados a natureza da atividade realizada, ou motivo da viagem, e o período de realização da mesma, ambos separados em categorias. É estudado o efeito da inclusão da forma de acesso à atividade, ou modo de viagem, como uma terceira dimensão. Este atributo, entretanto, dados os resultados obtidos, não é utilizado nas análises finais. É também considerada a adoção de diferentes categorizações para a dimensão motivo. São usados dados da pesquisa Origem e Destino realizada em 1997, na Região Metropolitana de São Paulo. No trabalho são considerados os indivíduos com 12 anos ou mais, com pelo menos duas viagens diárias e com seqüência de viagens iniciada e terminada em sua residência, sem inconsistências internas. O número de indivíduos que atende a estes critérios é 49.616. A classificação, ou agrupamento, das seqüências de atividades em classes ou grupos é feita considerando uma medida de distância ou dissimilaridade calculada entre as seqüências, que é baseada no esforço necessário para igualá-las. Esta medida é chamada de OT-MDSAM (uni-dimensional Optimum Trajectories-based MultiDimensional Sequence Alignment Method). A partir da matriz de dissimilaridades é executado um processo estatístico de agrupamento hierárquico aglomerativo usando o Método de Ward. Os grupos de seqüências formados são analisados considerando características das próprias seqüências e atributos sóciodemográficas e econômicas dos indivíduos que os compõem, e usados em um modelo de segmentação do tipo árvore de decisão, usando o CHAID (Chi-square Automatic Interaction Detector). Resultados indicam que os grupos formados são bastante homogêneos quanto aos padrões de seqüências de atividades que representam e aos indivíduos associados a eles. / The main objective of the dissertation is to identify homogeneous groups of individuals, with regard to the daily activity/travel sequences performed in a weekday. Activities are characterized by multiple attributes, thus generating mutidimensional seguences. In this study, the nature of the activity (travel purpose) and the starting period of engagement in the activity (ending time of a trip) were the dimensions considered in the characterization of activities. Access mode to the activity was also considered as a third dimension, but the results had led to the decision not to include it in the final analysis. Alternative categorizations of the activity nature dimension were also studied, that resulted in further disaggregation than adopted in previous analyses of the same data. The study used data from the 1997 Origin-Destination household survey of the Sao Paulo Metropolitan Area. The analysis considered all individuals aged 12 or over that conducted two or more trips (starting and ending at home) on the survey day, resulting in a sample of 49,616 individuals. A sequence alignment method - OT-MDSUM (uni-dimensional Optimum Trajectories-based MultiDimensional Sequence Alignment Method) - was used to compare and calculate distances between pairs of different activity/travel sequences. These distances were then fed into a Ward hierarchical clustering algorithm to create classes of groups of activity/travel patterns. These groups were then analyzed according to the characteristics of the activity/travel sequences included and to the sociodemographic and economic characteristics of individuals who performed these patterns. The data were then utilized to develop a decision tree model using CHAID - Chi-Squared Automatic Interaction Detector, having the group of activity/travel sequences as the response variable and the characteristics of individuals and their families as independent variables. The results indicate that the groups formed through this procedure present a good degree of homogeneity regarding the activity patterns they represent and that they can be clearly associated to the characteristics of the individuals which perform these patterns.

A enorme quantidade de dados que vem sendo gerada por tecnologias modernas de biologia representam um grande desafio para áreas como a bioinformática. Há uma série de programas disponíveis para a análise destes dados, mas que nem sempre são compreendidos o suficiente para serem corretamente aplicados, ou ainda, há problemas que requerem o desenvolvimento de novas soluções. Neste trabalho, nós apresentamos a análise de dados de duas das principais fontes de dados em larga escala: microarrays e sequenciamento. Na primeira, avaliamos se a estatística do método Rank Products (RP) é adequada para a identificação de genes diferencialmente expressos em estudos de doenças complexas, cujo uma das características é a heterogeneidade genética entre indivíduos com o mesmo fenótipo. Na segunda, desenvolvemos uma ferramenta chamada hunT para buscar por genes alvos do fator de transcrição T - um importante marcador de mesoderma com papel chave no desenvolvimento de vertebrados -, através da identificação de sítios de ligação para o T em suas sequências reguladoras. O desempenho do RP foi testado usando dados simulados e dados reais de um estudo de fissura lábio-palatina não-sindrômica, de autismo e também de um estudo que avalia o efeito da privação do sono em humanos. Nossos resultados mostraram que o RP é uma solução eficiente para detectar genes consistentemente desregulados em somente um subgrupo de pacientes, que esta habilidade é mantida com poucas amostras, mas que o seu desempenho é prejudicado quando são analisados poucos genes. Obtivemos fortes evidências biológicas da eficiência do método nos estudos com dados reais através da identificação de genes e vias previamente associados às doenças e da validação de novos genes candidatos através da técnica de PCR quantitativo em tempo real. Já o programa hunT identificou 4.602 genes de camundongo com o sítio de ligação para o domínio do T, sendo alguns deles já demonstrados experimentalmente. Identificamos 32 destes genes com expressão alterada em um estudo onde avaliamos o transcriptoma da diferenciação in vitro de células tronco embrionárias de camundongo para mesoderma, sugerindo a participação destes genes neste processo sendo regulados pelo T / The large amount of data generated by modern technologies of biology provides a big challenge for areas such as bioinformatics. In order to analyze these data there are several computer programs available; however these are not always well understood enough to be correctly applied. Moreover, there are problems that require the development of new solutions. In this work, we present the data analysis of two main high-throughput data sources: microarrays and sequencing. Firstly, we evaluated whether the statistic of Rank Products method (RP) is suitable for the identification of differentially expressed genes in studies of complex diseases, which are characterized by the vast genetic heterogeneity among the individuals affected. Secondly, we developed a tool named hunT to search for target genes of T transcription factor - an important mesodermal marker that plays a key role in the vertebrate development -, by identifying binding sites for T in their regulatory sequences. The RP performance was tested using both simulated and real data from three different studies: non-syndromic cleft lip and palate, autism and sleep deprivation effect in Humans. Our results have shown that RP is an effective solution for the identification of consistently deregulated genes in a subgroup of patients, this ability is maintained even with few samples, however its performance is impaired when only few genes are analyzed. We have obtained strong biological of effectiveness of the method in the studies with real data by not only identifying genes and pathways previously associated with diseases but also corroborating the behavior of novel candidate genes with the real-time PCR technique. The hunT program has identified 4,602 mouse genes containing the binding site for the T domain, some of which have already been demonstrated experimentally. We identified 32 of these genes with altered expression in a study which evaluated the transcriptome of in vitro differentiation of mouse embryonic stem cells to mesoderm, suggesting the involvement of these genes in this process regulated by T

Traditionally brain function is studied through measuring physiological responses in controlled sensory, motor, and cognitive paradigms. However, even at rest, in the absence of overt goal-directed behavior, collections of cortical regions consistently show temporally coherent activity. In humans, these resting state networks have been shown to greatly overlap with functional architectures present during consciously directed activity, which motivates the interpretation of rest activity as day dreaming, free association, stream of consciousness, and inner rehearsal. In monkeys, it has been shown though that similar coherent fluctuations are present during deep anesthesia when there is no consciousness. These coherent fluctuations have also been characterized on multiple temporal scales ranging from the fast frequency regimes, 1-100 Hz, commonly observed in EEG and MEG recordings, to the ultra-slow regimes, < 0.1 Hz, observed in the Blood Oxygen Level Dependent (BOLD) signal of functi onal magnetic resonance imaging (fMRI). However, the mechanism for their genesis and the origin of the ultra-slow frequency oscillations has not been well understood. Here, we show that comparable resting state networks emerge from a stability analysis of the network dynamics using biologically realistic primate brain connectivity, although anatomical information alone does not identify the network. We specifically demonstrate that noise and time delays via propagation along connecting fibres are essential for the emergence of the coherent fluctuations of the default network. The combination of anatomical structure and time delays creates a spacetime structure in which the neural noise enables the brain to explore various functional configurations representing its dynamic repertoire. / Using a simplified network model comprised of 3 nodes governed by the dynamics of FitzHugh-Nagumo (FHN) oscillators, we systematically study the role of time delay and coupling strength in the Using a simplified network model comprised of 3 nodes governed by the dynamics of FitzHugh-Nagumo (FHN) oscillators, we systematically study the role of time delay and coupling strength in the generation o f the slow coherent fluctuations. We find that these fluctuations in the BOLD signal are significantly correlated with the level of neural synchrony implicating that transient interareal synchronizations are the mechanism causing the emergence of the ultra slow coherent fluctuations in the BOLD signal. / by Young-Ah Rho. / Thesis (Ph.D.)--Florida Atlantic University, 2009. / Includes bibliography. / Electronic reproduction. Boca Raton, Fla., 2009. Mode of access: World Wide Web.