On the use of Gram matrix in observability analysis

This letter presents some notes on the use of the Gram matrix in observability analysis. This matrix is constructed considering the rows of the measurement Jacobian matrix as vectors, and it can be employed in observability analysis and restoration methods. The determination of nonredundant pseudo-measurements (normally injections pseudo-measurements) for merging observable islands into an observable (single) system is carried out analyzing the pivots of the Gram matrix. The Gram matrix can also be used to verify local redundancy, which is important in measurement system planning. Some numerical examples` are used to illustrate these features. Others features of the Gram matrix are under study.

MODELING THE UNVOICED COMPONENT IN THE CANONICAL REPRESENTATION OF SPEECH

The canonical representation of speech constitutes a perfect reconstruction (PR) analysis-synthesis system. Its parameters are the autoregressive (AR) model coefficients, the pitch period and the voiced and unvoiced components of the excitation represented as transform coefficients. Each set of parameters may be operated on independently. A time-frequency unvoiced excitation (TFUNEX) model is proposed that has high time resolution and selective frequency resolution. Improved time-frequency fit is obtained by using for antialiasing cancellation the clustering of pitch-synchronous transform tracks defined in the modulation transform domain. The TFUNEX model delivers high-quality speech while compressing the unvoiced excitation representation about 13 times over its raw transform coefficient representation for wideband speech.

Analysis of dynamic process models for structural insight and model reduction .1. Structural identification measures

An important consideration in the development of mathematical models for dynamic simulation, is the identification of the appropriate mathematical structure. By building models with an efficient structure which is devoid of redundancy, it is possible to create simple, accurate and functional models. This leads not only to efficient simulation, but to a deeper understanding of the important dynamic relationships within the process. In this paper, a method is proposed for systematic model development for startup and shutdown simulation which is based on the identification of the essential process structure. The key tool in this analysis is the method of nonlinear perturbations for structural identification and model reduction. Starting from a detailed mathematical process description both singular and regular structural perturbations are detected. These techniques are then used to give insight into the system structure and where appropriate to eliminate superfluous model equations or reduce them to other forms. This process retains the ability to interpret the reduced order model in terms of the physico-chemical phenomena. Using this model reduction technique it is possible to attribute observable dynamics to particular unit operations within the process. This relationship then highlights the unit operations which must be accurately modelled in order to develop a robust plant model. The technique generates detailed insight into the dynamic structure of the models providing a basis for system re-design and dynamic analysis. The technique is illustrated on the modelling for an evaporator startup. Copyright (C) 1996 Elsevier Science Ltd

Analyzing the connectivity between regions of interest: An approach based on cluster Granger causality for NRI data analysis

The identification, modeling, and analysis of interactions between nodes of neural systems in the human brain have become the aim of interest of many studies in neuroscience. The complex neural network structure and its correlations with brain functions have played a role in all areas of neuroscience, including the comprehension of cognitive and emotional processing. Indeed, understanding how information is stored, retrieved, processed, and transmitted is one of the ultimate challenges in brain research. In this context, in functional neuroimaging, connectivity analysis is a major tool for the exploration and characterization of the information flow between specialized brain regions. In most functional magnetic resonance imaging (fMRI) studies, connectivity analysis is carried out by first selecting regions of interest (ROI) and then calculating an average BOLD time series (across the voxels in each cluster). Some studies have shown that the average may not be a good choice and have suggested, as an alternative, the use of principal component analysis (PCA) to extract the principal eigen-time series from the ROI(s). In this paper, we introduce a novel approach called cluster Granger analysis (CGA) to study connectivity between ROIs. The main aim of this method was to employ multiple eigen-time series in each ROI to avoid temporal information loss during identification of Granger causality. Such information loss is inherent in averaging (e.g., to yield a single ""representative"" time series per ROI). This, in turn, may lead to a lack of power in detecting connections. The proposed approach is based on multivariate statistical analysis and integrates PCA and partial canonical correlation in a framework of Granger causality for clusters (sets) of time series. We also describe an algorithm for statistical significance testing based on bootstrapping. By using Monte Carlo simulations, we show that the proposed approach outperforms conventional Granger causality analysis (i.e., using representative time series extracted by signal averaging or first principal components estimation from ROIs). The usefulness of the CGA approach in real fMRI data is illustrated in an experiment using human faces expressing emotions. With this data set, the proposed approach suggested the presence of significantly more connections between the ROIs than were detected using a single representative time series in each ROI. (c) 2010 Elsevier Inc. All rights reserved.

Global Analysis of Protein Palmitoylation in African Trypanosomes

Many eukaryotic proteins are posttranslationally modified by the esterification of cysteine thiols to long-chain fatty acids. This modification, protein palmitoylation, is catalyzed by a large family of palmitoyl acyltransferases that share an Asp-His-His-Cys Cys-rich domain but differ in their subcellular localizations and substrate specificities. In Trypanosoma brucei, the flagellated protozoan parasite that causes African sleeping sickness, protein palmitoylation has been observed for a few proteins, but the extent and consequences of this modification are largely unknown. We undertook the present study to investigate T. brucei protein palmitoylation at both the enzyme and substrate levels. Treatment of parasites with an inhibitor of total protein palmitoylation caused potent growth inhibition, yet there was no effect on growth by the separate, selective inhibition of each of the 12 individual T. brucei palmitoyl acyltransferases. This suggested either that T. brucei evolved functional redundancy for the palmitoylation of essential palmitoyl proteins or that palmitoylation of some proteins is catalyzed by a noncanonical transferase. To identify the palmitoylated proteins in T. brucei, we performed acyl biotin exchange chemistry on parasite lysates, followed by streptavidin chromatography, two-dimensional liquid chromatography-tandem mass spectrometry protein identification, and QSpec statistical analysis. A total of 124 palmitoylated proteins were identified, with an estimated false discovery rate of 1.0%. This palmitoyl proteome includes all of the known palmitoyl proteins in procyclic-stage T. brucei as well as several proteins whose homologues are palmitoylated in other organisms. Their sequences demonstrate the variety of substrate motifs that support palmitoylation, and their identities illustrate the range of cellular processes affected by palmitoylation in these important pathogens.

Analysis of the Ontogenetic Variation in the Venom Proteome/Peptidome of Bothrops jararaca Reveals Different Strategies to Deal with Prey

Previous studies have demonstrated that the pharmacological activities displayed by Bothrops jararaca venom undergo a significant ontogenetic shift. Variation in the venom proteome is a well-documented phenomenon; however, variation in the venom peptidome is poorly understood. We report a comparative proteomic and peptidomic analysis of venoms from newborn and adult specimens of B. jararaca and correlate it with the evaluation of important venom features. We demonstrate that newborn and adult venoms have similar hemorrhagic activities, while the adult venom has a slightly higher lethal activity in mice; however, the newborn venom is extremely more potent to kill chicks. The coagulant activity of newborn venom upon human plasma is 10 times higher than that of adult venom. These differences were clearly reflected in their different profiles of SDS-PAGE, gelatin zimography, immunostaining using specific antibodies, glycosylation pattern, and concanavalin A-binding proteins. Furthermore, we report for the first time the analysis of the peptide fraction of newborn and adult venoms by MALDI-TOF mass spectrometry and LC-MS/MS, which revealed different contents of peptides, while the bradykinin potentiating peptides (BPPs) showed rather similar profiles and were detected in the venoms showing their canonical sequences and also novel sequences corresponding to BPPs processed from their precursor protein at sites so far not described. As a result of these studies, we demonstrated that the ontogenetic shift in diet, from ectothermic prey in early life to endothermic prey in adulthood, and in animal size are associated with changes in the venom proteome in B. jararaca species.

Does Independent Component Analysis Play a Role in Unmixing Hyperspectral Data?

Chapter in Book Proceedings with Peer Review First Iberian Conference, IbPRIA 2003, Puerto de Andratx, Mallorca, Spain, JUne 4-6, 2003. Proceedings

CLOCK-controlled polyphonic regulation of circadian rhythms through canonical and noncanonical E-boxes.

In mammalian circadian clockwork, the CLOCK-BMAL1 complex binds to DNA enhancers of target genes and drives circadian oscillation of transcription. Here we identified 7,978 CLOCK-binding sites in mouse liver by chromatin immunoprecipitation-sequencing (ChIP-Seq), and a newly developed bioinformatics method, motif centrality analysis of ChIP-Seq (MOCCS), revealed a genome-wide distribution of previously unappreciated noncanonical E-boxes targeted by CLOCK. In vitro promoter assays showed that CACGNG, CACGTT, and CATG(T/C)G are functional CLOCK-binding motifs. Furthermore, we extensively revealed rhythmically expressed genes by poly(A)-tailed RNA-Seq and identified 1,629 CLOCK target genes within 11,926 genes expressed in the liver. Our analysis also revealed rhythmically expressed genes that have no apparent CLOCK-binding site, indicating the importance of indirect transcriptional and posttranscriptional regulations. Indirect transcriptional regulation is represented by rhythmic expression of CLOCK-regulated transcription factors, such as Krüppel-like factors (KLFs). Indirect posttranscriptional regulation involves rhythmic microRNAs that were identified by small-RNA-Seq. Collectively, CLOCK-dependent direct transactivation through multiple E-boxes and indirect regulations polyphonically orchestrate dynamic circadian outputs.

Dynamical modeling and analysis of large cellular regulatory networks.

The dynamical analysis of large biological regulatory networks requires the development of scalable methods for mathematical modeling. Following the approach initially introduced by Thomas, we formalize the interactions between the components of a network in terms of discrete variables, functions, and parameters. Model simulations result in directed graphs, called state transition graphs. We are particularly interested in reachability properties and asymptotic behaviors, which correspond to terminal strongly connected components (or "attractors") in the state transition graph. A well-known problem is the exponential increase of the size of state transition graphs with the number of network components, in particular when using the biologically realistic asynchronous updating assumption. To address this problem, we have developed several complementary methods enabling the analysis of the behavior of large and complex logical models: (i) the definition of transition priority classes to simplify the dynamics; (ii) a model reduction method preserving essential dynamical properties, (iii) a novel algorithm to compact state transition graphs and directly generate compressed representations, emphasizing relevant transient and asymptotic dynamical properties. The power of an approach combining these different methods is demonstrated by applying them to a recent multilevel logical model for the network controlling CD4+ T helper cell response to antigen presentation and to a dozen cytokines. This model accounts for the differentiation of canonical Th1 and Th2 lymphocytes, as well as of inflammatory Th17 and regulatory T cells, along with many hybrid subtypes. All these methods have been implemented into the software GINsim, which enables the definition, the analysis, and the simulation of logical regulatory graphs.

Widespread occurrence of non-canonical transcription termination by human RNA polymerase III.

Human RNA polymerase (Pol) III-transcribed genes are thought to share a simple termination signal constituted by four or more consecutive thymidine residues in the coding DNA strand, just downstream of the RNA 3'-end sequence. We found that a large set of human tRNA genes (tDNAs) do not display any T(≥4) stretch within 50 bp of 3'-flanking region. In vitro analysis of tDNAs with a distanced T(≥4) revealed the existence of non-canonical terminators resembling degenerate T(≥5) elements, which ensure significant termination but at the same time allow for the production of Pol III read-through pre-tRNAs with unusually long 3' trailers. A panel of such non-canonical signals was found to direct transcription termination of unusual Pol III-synthesized viral pre-miRNA transcripts in gammaherpesvirus 68-infected cells. Genome-wide location analysis revealed that human Pol III tends to trespass into the 3'-flanking regions of tDNAs, as expected from extensive terminator read-through. The widespread occurrence of partial termination suggests that the Pol III primary transcriptome in mammals is unexpectedly enriched in 3'-trailer sequences with the potential to contribute novel functional ncRNAs.

Role of ENaC in skin wound healing and phenotypic analysis of GILZ-deficient mice

In my first project, I analyzed the role of the amiloride-sensitive epithelial sodium channel ENaC) in the skin during wound healing. ENaC is present in the skin and a function in keratinocyte differentiation and barrier formation has been demonstrated. Previous findings suggested, that ENaC might be implicated in keratinocyte migration, although its role in wound healing was not analyzed yet. Using skin-specific (K14-Cre) conditional ENaC knockout and overexpressing mice, I determined the wound closure kinetic and performed morphometric measurements. The time course of wound repair was not significantly different in knockouts or transgenics when compared to control mice and the morphology of the closing wound was not altered. In my second project, I studied the glucocorticoid-induced leucine zipper (GILZ, Tsc22d3). GILZ is widely expressed and an important role has been predicted in immunity, adipogenesis and renal sodium handling. Mice were generated that constitutively lack all the functional domains of the Gilz gene. In these mice, the expression of GILZ mRNA transcripts and protein were completely abolished in all tissues tested. Surprisingly, knockout mice survived. To test whether GILZ mimicks glucocorticoid action, we studied its implication in T- and B- cell development and in a model of sepsis. We measured cytokine secretion in different inflammatory models, like in peritoneal and bone marrow-derived macrophages, in splenocytes and a model of sepsis. In all our experiments, cytokine secretion from GILZ- deficient cells was not different from controls. From 6 months onwards, knockout mice contained significantly less body fat and were lighter. Following sodium and water deprivation experiments, water and salt homeostasis was preserved. Sterility of knockout males was associated with a severe testis dysplasia, smaller seminiferous tubules, the number of Sertoli and germ cell was reduced while increased apoptosis, but not cell proliferation, was evidenced. The interstitial Leydig cell population was augmented, and higher plasma FSH and testosterone levels were found. Interestingly, the expression of the target gene Ppar2 was diminished in the testis and in the liver, but not in the skin, kidney or fat. Tsc22d1 mRNA transcript level was found to be upregulated in testis, but not in the kidney or fat tissue. In most tissue, excepted the testis, GILZ-deficient mice reveal functional redundancy amongst members of the Tsc22d family or genes involved in the same regulatory pathways. In summary, contrarily to the published in vitro data, GILZ does not play a crucial role attributed in immunology or inflammation, but we identified a novel function in spermatogenesis. -- Dans mon premier projet, j'ai analysé le rôle du canal épithélial sodique sensible à l'amiloride (ENaC) dans la cicatrisation de la peau. ENaC est présent dans la peau et il a une fonction dans la différenciation des kératinocytes et dans la formation de la barrière. Des études suggèrent qu'ENaC pourrait être impliqué dans la migration des kératinocytes, cependant, son rôle dans la cicatrisation n'a pas encore été étudié. A l'aide de souris qui surexpriment ou qui sont knockout pour ENaC, spécifiquement dans la peau (K14-Cre), j'ai analysé le temps de clôture de la cicatrice et j'ai aussi étudié la morphologie de la plaie guérissant. Chez les souris qui surexpriment ou chez les knockouts, la vitesse de fermeture et la morphologie de la cicatrice étaient identiques aux souris contrôles. Dans mon second projet, j'ai étudié le glucocorticoid-induced leucine zipper (GILZ, Tsc22d3). GILZ est largement exprimé et un rôle important a été prédit dans l'immunité, l'adipogénèse et le transport sodique rénal. Des souris ont été générées dont les domaines fonctionnels du gène Gilz sont éliminés. L'expression de GILZ en ARNm et protéine a été complètement abolie dans tous les tissus testés. Étonnamment, ces souris knockout survivent. Afin de tester si GILZ imite les effets des glucocorticoïdes, nous avons étudié son implication dans le développement des cellules T et B ainsi qu'un modèle de septicémie. Nous avons mesuré la sécrétion de cytokines à partir de différents modèles d'inflammation tels que des macrophages péritonéaux ou de moelle, de splénocytes ou encore d'un modèle de septicémie. Dans toutes nos expériences, la sécrétion de cytokines de cellules GILZ-déficientes était semblable. Dès 6 mois, les knockouts contenaient significativement moins de graisses et étaient plus légères. Suite à une privation sodique et aqueuse, l'homéostasie du sel et de l'eau était préservée. Les mâles knockouts présentaient une stérilité accompagnée d'une dysplasie testiculaire sévère, de tubules séminifères étaient plus petits et contenaient un nombre réduit de cellules de Sertoli et de cellules germinales. L'apoptose était augmentée dans ces cellules mais pas la prolifération cellulaire. Le nombre de cellules de Leydig était aussi plus élevé, ainsi que la FSH et la testostérone. L'expression du gène cible Pparγ2 était diminuée dans le testicule et le foie, mais pas dans la peau, le rein ou le tissu adipeux. L'ARNm de Tsc22d1 était plus exprimé dans le testicule, mais pas dans le rein ou le tissu adipeux. Dans la plupart des tissus, sauf le testicule, les souris knockouts révélaient une redondance fonctionnelle des autres membres de la famille Tsc22d ou de gènes impliqués dans les mêmes voies de régulation. En résumé, contrairement aux données in vitro, GILZ ne joue pas un rôle essentiel en immunologie, mais nous avons identifié une nouvelle fonction dans la spermatogénèse.

Analysis of stop-gain and frameshift variants in human innate immunity genes.

Loss-of-function variants in innate immunity genes are associated with Mendelian disorders in the form of primary immunodeficiencies. Recent resequencing projects report that stop-gains and frameshifts are collectively prevalent in humans and could be responsible for some of the inter-individual variability in innate immune response. Current computational approaches evaluating loss-of-function in genes carrying these variants rely on gene-level characteristics such as evolutionary conservation and functional redundancy across the genome. However, innate immunity genes represent a particular case because they are more likely to be under positive selection and duplicated. To create a ranking of severity that would be applicable to innate immunity genes we evaluated 17,764 stop-gain and 13,915 frameshift variants from the NHLBI Exome Sequencing Project and 1,000 Genomes Project. Sequence-based features such as loss of functional domains, isoform-specific truncation and nonsense-mediated decay were found to correlate with variant allele frequency and validated with gene expression data. We integrated these features in a Bayesian classification scheme and benchmarked its use in predicting pathogenic variants against Online Mendelian Inheritance in Man (OMIM) disease stop-gains and frameshifts. The classification scheme was applied in the assessment of 335 stop-gains and 236 frameshifts affecting 227 interferon-stimulated genes. The sequence-based score ranks variants in innate immunity genes according to their potential to cause disease, and complements existing gene-based pathogenicity scores. Specifically, the sequence-based score improves measurement of functional gene impairment, discriminates across different variants in a given gene and appears particularly useful for analysis of less conserved genes.

Analysis of GPCR properties of Frizzled receptors and establishment of the "in vitro" platform for screening of Frizzled agonists/antagonists as potential therapeutic agents

Morphogens of the Wnt protein family are the secreted lipoglycoprotein ligands which initiate several pathways heavily involved in the coordination of various developmental stages of organisms in the majority of animal species. Deregulation of these pathways in the adult leads to formation and sustaining of multiple types of cancer. The latter notion is reinforced by the fact that the very discovery of the first Wnt ligand was due to its role as the causative factor of carcinogenic transformation (Nusse and Varmus, 1982). Nowadays our knowledge on Wnt signaling has "moved with the times" and these pathways were identified to be often crucial for tumor formation, its interactions with the microenvironment, and promotion of the metastases (Huang and Du, 2008; Zerlin et al., 2008; Jessen, 2009). Thus the relevance of the pathway as the target for drug development has further increased in the light of modern paradigms of the complex cancer treatments which target also spreading and growth- promoting factors of tumors by specific and highly efficient substances (Pavet et al., 2010). Presently the field of the Wnt-targeting drug research is almost solely dominated by assays based on transcriptional activation induced by the signaling. This approach resulted in development of a number of promising substances (Lee et al., 2011). Despite its effectiveness, the method nevertheless suffers from several drawbacks. Among the major ones is the fact that this approach is prone to identify compounds targeting rather downstream effectors of the pathway, which are indiscriminately used by all the subtypes of the Wnt signaling. Additionally, proteins which are involved in several signaling cascades and not just the Wnt pathway turn out as targets of the new compounds. These issues increase risks of side effects due to off-target interactions and blockade of the pathway in healthy cells. In the present work we put forward a novel biochemical approach for drug development on the Wnt pathway. It targets Frizzleds (Fzs) - a family of 7-transmbembrane proteins which serve as receptors for Wnt ligands. They offer unique properties for the development of highly specific and effective drugs as they control all branches of the Wnt signaling. Recent advances in the understanding of the roles of heterotrimeric G proteins downstream from Fzs (Katanaev et al., 2005; Liu et al., 2005; Jernigan et al., 2010) suggest application of enzymatic properties of these effectors to monitor the receptor-mediated events. We have applied this knowledge in practice and established a specific and efficient method based on utilization of a novel high-throughput format of the GTP-binding assay to follow the activation of Fzs. This type of assay is a robust and well-established technology for the research and screenings on the GPCRs (Harrison and Traynor, 2003). The conventional method of detection involves the radioactively labeled non-hydrolysable GTP analog [35S]GTPyS. Its application in the large-scale screenings is however problematic which promoted development of the novel non-radioactive GTP analog GTP-Eu. The new molecule employs phenomenon of the time-resolved fluorescence to provide sensitivity comparable to the conventional radioactive substance. Initially GTP-Eu was tested only in one of many possible types of GTP-binding assays (Frang et al., 2003). In the present work we expand these limits by demonstrating the general comparability of the novel label with the radioactive method in various types of assays. We provide a biochemical characterization of GTP-Eu interactions with heterotrimeric and small GTPases and a comparative analysis of the behavior of the new label in the assays involving heterotrimeric G protein effectors. These developments in the GTP-binding assay were then applied to monitor G protein activation by the Fz receptors. The data obtained in mammalian cultured cell lines provides for the first time an unambiguous biochemical proof for direct coupling of Fzs with G proteins. The specificity of this interaction has been confirmed by the experiments with the antagonists of Fz and by the pertussis toxin-mediated deactivation. Additionally we have identified the specificity of Wnt3a towards several members of the Fz family and analyzed the properties of human Fz-1 which was found to be the receptor coupled to the Gi/o family of G proteins. Another process playing significant role in the functioning of every GPCR is endocytosis. This phenomenon can also be employed for drug screenings on GPCRs (Bickle, 2010). In the present work we have demonstrated that Drosophila Fz receptors are involved in an unusual for many GPCRs manifestation of the receptor-mediated internalization. Through combination of biochemical approaches and studies on Drosophila as the model organism we have shown that direct interactions of the Fzs and the α-subunit of the heterotrimeric G protein Go with the small GTPase Rab5 regulate internalization of the receptor in early endosomes. We provide data uncovering the decisive role of this self-promoted endocytosis in formation of a proper signaling output in the canonical as well as planar cell polarity (PCP) pathways regulated by Fz. The results of this work thus establish a platform for the high-throughput screening to identify substances active in the cancer-related Wnt pathways. This methodology has been adjusted and applied to provide the important insights in Fz functioning and will be instrumental for further investigations on the Wnt-mediated pathways.

The generation and analysis of combined legless 1 and 2 knock-out mice

Summary The Wnt signaling pathway plays an important role during development and also for maintaining tissue homeostasis due to its function in proliferation, differentiation and cell fate decisions. Wnt ligands bind to Frizzled receptors and activate a signaling cascade that results in the stabilization of β-Catenin, a key component of the pathway. β-Catenin translocates to the nucleus, where, together with a transcription factor of the Tcf/Lef family, it activates the expression of target genes. Legless and Pygopus are two recently discovered essential components of the Wnt pathway in Drosophila, which may mediate the nuclear import and retention of beta-Catenin and/or contribute directly to the activation of Wnt target genes. To address the function of Legless in the mouse, we have generated compound constitutive and conditional knockout alleles of the two homologues legless 'I (bc1-9) and 2. We have induced the deletion of legless in self-renewing tissues such as the gastrointestinal tract, the mammary gland and the skin during adulthood and constitutively in the embryo. The present thesis focused on the consequences of the inactivation of legless in epithelial homeostasis as well as in a regeneration model and its comparison to pygopus. Deletion of neither legless nor pygopus in the adult small intestine resulted in any apparent anomaly, contrasting expectations from the phenotype caused by over-expression of Dickkopf, a Wnt inhibitor (Pinto et al., 2003). These observations indicate that canonical Wnt signaling might not be indispensable for normal gastrointestinal epithelium homeostasis, or that, in this context, Legless and Pygopus are not essential components of the Wnt pathway. However, the regeneration of the colonic epithelium after DSS induced damage was markedly impaired in legless, but not in pygopus deficient mice. Thus, unlike in Drosophila, deletion of mammalian legless and pygopus resulted in different phenotypes, suggesting that Legless might interact with as yet unidentified partners in addition to Pygopus. Resumé La voie de signalisation Wnt joue un rôle important au cours du développement ainsi que pour le maintien de l' homéostase tissulaire due à sa fonction durant la prolifération, la différentiation et les décisions sur l'avenir des cellules. Les ligands de Wnt se lient aux récepteurs Frizzled et activent une cascade de signalisation résultant en la stabilisation de β-Catenin, un composant central de cette voie. β-Catenin est transloquée dans le noyau ou, avec l'aide des facteurs de transcription de la famille Tcf/lef, elle active la transcription des gènes cibles. Legless et Pygopus sont deux composants récemment découverts et essentiels de la voie de signalisation Wnt chez la Drosophile qui pourraient être des médiateurs de l'import et de la rétention nucléaire de bêta-catenin et/ou contribuer directement a l'activation des gènes cibles. Afin de comprendre la fonction de Legless chez la souris, nous avons généré simultanément les allèles « knock-out » constitutifs et conditionnels des deux homologues legless 1 (bc1-9) et 2. Nous avons induit la délétion de legless dans des tissus capables de s'auto renouveler comme le tract gastro-intestinal, la glande mammaire et la peau chez l'adulte et nous avons supprimé constitutivement legless chez l'embryon. La présente thèse est concentrée sur les conséquences de l'inactivation de legless au cours de l' homéostase épithéliale ainsi que dans un modèle de régénération et sur sa comparaison avec pygopus. Ni la délétion de legless ni celle de pygopus dans l'intestin adulte n'ont résulté en quelque anomalie, contrastant nos attentes provenant des phénotypes causes par la surexpression de Dickkpof, un inhibiteur de Wnt (Pinto et al., 2003). Ces observations indiquent que la voie de signalisation Wnt/β-Catenin pourrait ne pas être indispensable à l' homéostase normale du tract gastro-intestinal, ou que, dans ce contexte, Legless et Pygopus ne sont pas des composants essentiels de la vole Wnt. Cependant, la régénération de l'épithélium du colon après induction de son endommagement au DSS fut dramatiquement diminuée chez legless mais pas chez les souris mutantes pour pygopus. Ainsi, a la différence de chez la Drosophile, la délétion de legless et pygopus chez les mammifères a résulté en des phénotypes différents, suggérant que Legless pourrait interagir avec d'autres partenaires, encore non identifies, que Pygopus.

Application of discriminant function analysis and change-point problem in dating volcanic ashes

The application of Discriminant function analysis (DFA) is not a new idea in the studyof tephrochrology. In this paper, DFA is applied to compositional datasets of twodifferent types of tephras from Mountain Ruapehu in New Zealand and MountainRainier in USA. The canonical variables from the analysis are further investigated witha statistical methodology of change-point problems in order to gain a betterunderstanding of the change in compositional pattern over time. Finally, a special caseof segmented regression has been proposed to model both the time of change and thechange in pattern. This model can be used to estimate the age for the unknown tephrasusing Bayesian statistical calibration