Cubic spline population density functions and subcentre delimitation. The case of Barcelona

The presence of subcentres cannot be captured by an exponential function. Cubic spline functions seem more appropriate to depict the polycentricity pattern of modern urban systems. Using data from Barcelona Metropolitan Region, two possible population subcentre delimitation procedures are discussed. One, taking an estimated derivative equal to zero, the other, a density gradient equal to zero. It is argued that, in using a cubic spline function, a delimitation strategy based on derivatives is more appropriate than one based on gradients because the estimated density can be negative in sections with very low densities and few observations, leading to sudden changes in estimated gradients. It is also argued that using as a criteria for subcentre delimitation a second derivative with value zero allow us to capture a more restricted subcentre area than using as a criteria a first derivative zero. This methodology can also be used for intermediate ring delimitation.

The complementary exponential geometric distribution: Model, properties, and a comparison with its counterpart

In this paper, we proposed a new two-parameter lifetime distribution with increasing failure rate, the complementary exponential geometric distribution, which is complementary to the exponential geometric model proposed by Adamidis and Loukas (1998). The new distribution arises on a latent complementary risks scenario, in which the lifetime associated with a particular risk is not observable; rather, we observe only the maximum lifetime value among all risks. The properties of the proposed distribution are discussed, including a formal proof of its probability density function and explicit algebraic formulas for its reliability and failure rate functions, moments, including the mean and variance, variation coefficient, and modal value. The parameter estimation is based on the usual maximum likelihood approach. We report the results of a misspecification simulation study performed in order to assess the extent of misspecification errors when testing the exponential geometric distribution against our complementary one in the presence of different sample size and censoring percentage. The methodology is illustrated on four real datasets; we also make a comparison between both modeling approaches. (C) 2011 Elsevier B.V. All rights reserved.

Weibull and generalised exponential overdispersion models with an application to ozone air pollution

We consider the problem of estimating the mean and variance of the time between occurrences of an event of interest (inter-occurrences times) where some forms of dependence between two consecutive time intervals are allowed. Two basic density functions are taken into account. They are the Weibull and the generalised exponential density functions. In order to capture the dependence between two consecutive inter-occurrences times, we assume that either the shape and/or the scale parameters of the two density functions are given by auto-regressive models. The expressions for the mean and variance of the inter-occurrences times are presented. The models are applied to the ozone data from two regions of Mexico City. The estimation of the parameters is performed using a Bayesian point of view via Markov chain Monte Carlo (MCMC) methods.

Some Properties of Mittag-Leffler Functions and Matrix-Variate Analogues: A Statistical Perspective

Mathematical Subject Classification 2010:26A33, 33E99, 15A52, 62E15.

Fitting model-based psychometric functions to simultaneity and temporal-order judgment data: MATLAB and R routines

Research on temporal-order perception uses temporal-order judgment (TOJ) tasks or synchrony judgment (SJ) tasks in their binary SJ2 or ternary SJ3 variants. In all cases, two stimuli are presented with some temporal delay, and observers judge the order of presentation. Arbitrary psychometric functions are typically fitted to obtain performance measures such as sensitivity or the point of subjective simultaneity, but the parameters of these functions are uninterpretable. We describe routines in MATLAB and R that fit model-based functions whose parameters are interpretable in terms of the processes underlying temporal-order and simultaneity judgments and responses. These functions arise from an independent-channels model assuming arrival latencies with exponential distributions and a trichotomous decision space. Different routines fit data separately for SJ2, SJ3, and TOJ tasks, jointly for any two tasks, or also jointly for the three tasks (for common cases in which two or even the three tasks were used with the same stimuli and participants). Additional routines provide bootstrap p-values and confidence intervals for estimated parameters. A further routine is included that obtains performance measures from the fitted functions. An R package for Windows and source code of the MATLAB and R routines are available as Supplementary Files.

The Poisson-exponential lifetime distribution

In this paper we proposed a new two-parameters lifetime distribution with increasing failure rate. The new distribution arises on a latent complementary risk problem base. The properties of the proposed distribution are discussed, including a formal proof of its probability density function and explicit algebraic formulae for its reliability and failure rate functions, quantiles and moments, including the mean and variance. A simple EM-type algorithm for iteratively computing maximum likelihood estimates is presented. The Fisher information matrix is derived analytically in order to obtaining the asymptotic covariance matrix. The methodology is illustrated on a real data set. (C) 2010 Elsevier B.V. All rights reserved.

Unsaturated diffusivity functions for concrete derived from NMR images

Deterioration of concrete or reinforcing steel through excessive contaminant concentration is often the result of repeated wetting and drying cycles. At each cycle, the absorption of water carries new contaminants into the unsaturated concrete. Nuclear Magnetic Resonance (NMR) is used with large concrete samples to observe the shape of the wetting profile during a simple one-dimensional wetting process. The absorption of water by dry concrete is modelled by a nonlinear diffusion equation with the unsaturated hydraulic diffusivity being a strongly nonlinear function of the moisture content. Exponential and power functions are used for the hydraulic diffusivity and corresponding solutions of the diffusion equation adequately predict the shape of the experimental wetting profile. The shape parameters, describing the wetting profile, vary little between different blends and are relatively insensitive to subsequent re-wetting experiments allowing universal parameters to be suggested for these concretes.

Increasing quasiconcave production and utility functions with diminishing returns to scale

In microeconomic analysis functions with diminishing returns to scale (DRS) have frequently been employed. Various properties of increasing quasiconcave aggregator functions with DRS are derived. Furthermore duality in the classical sense as well as of a new type is studied for such aggregator functions in production and consumer theory. In particular representation theorems for direct and indirect aggregator functions are obtained. These involve only small sets of generator functions. The study is carried out in the contemporary framework of abstract convexity and abstract concavity.

Neuroendocrine, metabolic, and immune functions during the acute phase response of inflammatory stress in monosodium L-glutamate-damaged, hyperadipose male rat.

In rats, neonatal treatment with monosodium L-glutamate (MSG) induces several metabolic and neuroendocrine abnormalities, which result in hyperadiposity. No data exist, however, regarding neuroendocrine, immune and metabolic responses to acute endotoxemia in the MSG-damaged rat. We studied the consequences of MSG treatment during the acute phase response of inflammatory stress. Neonatal male rats were treated with MSG or vehicle (controls, CTR) and studied at age 90 days. Pituitary, adrenal, adipo-insular axis, immune, metabolic and gonadal functions were explored before and up to 5 h after single sub-lethal i.p. injection of bacterial lipopolysaccharide (LPS; 150 microg/kg). Our results showed that, during the acute phase response of inflammatory stress in MSG rats: (1) the corticotrope-adrenal, leptin, insulin and triglyceride responses were higher than in CTR rats, (2) pro-inflammatory (TNFalpha) cytokine response was impaired and anti-inflammatory (IL-10) cytokine response was normal, and (3) changes in peripheral estradiol and testosterone levels after LPS varied as in CTR rats. These data indicate that metabolic and neroendocrine-immune functions are altered in MSG-damaged rats. Our study also suggests that the enhanced corticotrope-corticoadrenal activity in MSG animals could be responsible, at least in part, for the immune and metabolic derangements characterizing hypothalamic obesity.

Gliotransmission in the hippocampus, mechanisms and interaction with synaptic functions

SUMMARYAstrocytes represent the largest cell population in the human brain. In addition to a well established role as metabolic support for neuronal activity, in the last years these cells have been found to accomplish other important and, sometimes, unexpected functions. The tight enwrapping of synapses by astrocytic processes and the predominant expression of glutamate uptake carriers in the astrocytic rather than neuronal plasma membranes brought to the definition of a critical involvement of astrocytes in the clearance of glutamate from synaptic junctions. Moreover, several publications showed that astrocytes are able to release chemical transmitters (gliotransmitters) suggesting their active implication in the control of synaptic functions. Among gliotransmitters, the best characterized is glutamate, which has been proposed to be released from astrocytes in a Ca2+ dependent manner via exocytosis of synaptic-like microvesicles.In my thesis I present results leading to substantial advancement of the understanding of the mechanisms by which astrocytes modulate synaptic activity in the hippocampus, notably at excitatory synapses on dentate granule cells. I show that tumor necrosis factor- alpha (TNFa), a molecule that is generally involved in immune system functions, critically controls astrocyte-to-synapse communication (gliotransmission) in the brain. With constitutive levels of TNFa present, activation of purinergic G protein-coupled receptors in astrocytes, called P2Y1 receptors, induces localized intracellular calcium ([Ca2+]j) elevation in astrocytic processes (measured by two-photon microscopy) followed by glutamate release and activation of pre-synaptic NMDA receptors resulting in synaptic potentiation. In preparations lacking TNFa, astrocytes respond with identical [Ca2+]i elevations but fail to induce neuromodulation. I find that TNFa specifically controls the glutamate release step of gliotransmission. Addition of very low (picomolar) TNFa concentrations to preparations lacking the cytokine, promptly reconstitutes both normal exocytosis in cultured astrocytes and gliotransmission in hippocampal slices. These data provide the first demonstration that gliotransmission and its synaptic effects are controlled not only by astrocyte [Ca2+]i elevations but also by permissive/homeostatic factors like TNFa.In addition, I find that higher and presumably pathological TNFa concentrations do not act just permissively but instead become direct and potent triggers of glutamate release from astrocytes, leading to a strong enhancement of excitatory synaptic activity. The TNFa action, like the one observed upon P2Y1R activation, is mediated by pre-synaptic NMDA receptors, but in this case the effect is long-lasting, and not reversible. Moreover, I report that a necessary molecular target for this action of TNFa is TNFR1, one of the two specific receptors for the cytokine, as I found that TNFa was unable to induce synaptic potentiation when applied in slices from TNFR1 knock-out (Tnfrlv") mice. I then created a double transgenic mouse model where TNFR1 is knocked out in all cells but can be re-expressed selectively in astrocytes and I report that activation of the receptors in these cells is sufficient to reestablish TNFa-dependent long-lasting potentiation of synaptic activity in the TNFR1 knock-out mice.I therefore discovered that TNFa is a primary molecule displaying both permissive and instructive roles on gliotransmission controlling synaptic functions. These reports might have profound implications for the understanding of both physiological and pathological processes associated to TNFa production, including inflammatory processes in the brain.RÉSUMÉLes astrocytes sont les cellules les plus abondantes du cerveau humain. Outre leur rôle bien établi dans le support métabolique de l'activité neuronale, d'autres fonctions importantes, et parfois inattendues de ces cellules ont été mises en lumière au cours de ces dernières années. Les astrocytes entourent étroitement les synapses de leurs fins processus qui expriment fortement les transporteurs du glutamate et permettent ainsi aux astrocytes de jouer un rôle critique dans l'élimination du glutamate de la fente synaptique. Néanmoins, les astrocytes semblent être capables de jouer un rôle plus intégratif en modulant l'activité synaptique, notamment par la libération de transmetteurs (gliotransmetteurs). Le gliotransmetteur le plus étudié est le glutamate qui est libéré par l'exocytose régulée de petites vésicules ressemblant aux vésicules synaptiques (SLMVs) via un mécanisme dépendant du calcium.Les résultats présentés dans cette thèse permettent une avancée significative dans la compréhension du mode de communication de ces cellules et de leur implication dans la transmission de l'information synaptique dans l'hippocampe, notamment des synapses excitatrices des cellules granulaires du gyrus dentelé. J'ai pu montrer que le « facteur de nécrose tumorale alpha » (TNFa), une cytokine communément associée au système immunitaire, est aussi fondamentale pour la communication entre astrocyte et synapse. Lorsqu'un niveau constitutif très bas de TNFa est présent, l'activation des récepteurs purinergiques P2Y1 (des récepteurs couplés à protéine G) produit une augmentation locale de calcium (mesurée en microscopie bi-photonique) dans l'astrocyte. Cette dernière déclenche ensuite une libération de glutamate par les astrocytes conduisant à l'activation de récepteurs NMDA présynaptiques et à une augmentation de l'activité synaptique. En revanche, dans la souris TNFa knock-out cette modulation de l'activité synaptique par les astrocytes n'est pas bien qu'ils présentent toujours une excitabilité calcique normale. Nous avons démontré que le TNFa contrôle spécifiquement l'exocytose régulée des SLMVs astrocytaires en permettant la fusion synchrone de ces vésicules et la libération de glutamate à destination des récepteurs neuronaux. Ainsi, nous avons, pour la première fois, prouvé que la modulation de l'activité synaptique par l'astrocyte nécessite, pour fonctionner correctement, des facteurs « permissifs » comme le TNFa, agissant sur le mode de sécrétion du glutamate astrocytaire.J'ai pu, en outre, démontrer que le TNFa, à des concentrations plus élevées (celles que l'on peut observer lors de conditions pathologiques) provoque une très forte augmentation de l'activité synaptique, agissant non plus comme simple facteur permissif mais bien comme déclencheur de la gliotransmission. Le TNFa provoque 1'activation des récepteurs NMD A pré-synaptiques (comme dans le cas des P2Y1R) mais son effet est à long terme et irréversible. J'ai découvert que le TNFa active le récepteur TNFR1, un des deux récepteurs spécifiques pour le TNFa. Ainsi, l'application de cette cytokine sur une tranche de cerveau de souris TNFR1 knock-out ne produit aucune modification de l'activité synaptique. Pour vérifier l'implication des astrocytes dans ce processus, j'ai ensuite mis au point un modèle animal doublement transgénique qui exprime le TNFR1 uniquement dans les astrocytes. Ce dernier m'a permis de prouver que l'activation des récepteurs TNFR1 astrocytaires est suffisante pour induire une augmentation de l'activité synaptique de manière durable.Nous avons donc découvert que le TNFa possède un double rôle, à la fois un rôle permissif et actif, dans le contrôle de la gliotransmission et, par conséquent, dans la modulation de l'activité synaptique. Cette découverte peut potentiellement être d'une extrême importance pour la compréhension des mécanismes physiologiques et pathologiques associés à la production du TNFa, en particulier lors de conditions inflammatoires.RÉSUMÉ GRAND PUBLICLes astrocytes représentent la population la plus nombreuse de cellules dans le cerveau humain. On sait, néanmoins, très peu de choses sur leurs fonctions. Pendant très longtemps, les astrocytes ont uniquement été considérés comme la colle du cerveau, un substrat inerte permettant seulement de lier les cellules neuronales entre elles. Il n'y a que depuis peu que l'on a découvert de nouvelles implications de ces cellules dans le fonctionnement cérébral, comme, entre autres, une fonction de support métabolique de l'activité neuronale et un rôle dans la modulation de la neurotransmission. C'est ce dernier aspect qui fait l'objet de mon projet de thèse.Nous avons découvert que l'activité des synapses (régions qui permettent la communication d'un neurone à un autre) qui peut être potentialisée par la libération du glutamate par les astrocytes, ne peut l'être que dans des conditions astrocytaires très particulières. Nous avons, en particulier, identifié une molécule, le facteur de nécrose tumorale alpha (TNFa) qui joue un rôle critique dans cette libération de glutamate astrocytaire.Le TNFa est surtout connu pour son rôle dans le système immunitaire et le fait qu'il est massivement libéré lors de processus inflammatoires. Nous avons découvert qu'en concentration minime, correspondant à sa concentration basale, le TNFa peut néanmoins exercer un rôle indispensable en permettant la communication entre l'astrocyte et le neurone. Ce mode de fonctionnement est assez probablement représentatif d'un processus physiologique qui permet d'intégrer la communication astrocyte/neurone au fonctionnement général du cerveau. Par ailleurs, nous avons également démontré qu'en quantité plus importante, le TNFa change son mode de fonctionnement et agit comme un stimulateur direct de la libération de glutamate par l'astrocyte et induit une activation persistante de l'activité synaptique. Ce mode de fonctionnement est assez probablement représentatif d'un processus pathologique.Nous sommes également arrivés à ces conclusions grâce à la mise en place d'une nouvelle souche de souris doublement transgéniques dans lesquelles seuls les astrocytes (etnon les neurones ou les autres cellules cérébrales) sont capables d'être activés par le TNFa.

Estimation of jump-diffusion processes via empirical characteristic functions

Preface The starting point for this work and eventually the subject of the whole thesis was the question: how to estimate parameters of the affine stochastic volatility jump-diffusion models. These models are very important for contingent claim pricing. Their major advantage, availability T of analytical solutions for characteristic functions, made them the models of choice for many theoretical constructions and practical applications. At the same time, estimation of parameters of stochastic volatility jump-diffusion models is not a straightforward task. The problem is coming from the variance process, which is non-observable. There are several estimation methodologies that deal with estimation problems of latent variables. One appeared to be particularly interesting. It proposes the estimator that in contrast to the other methods requires neither discretization nor simulation of the process: the Continuous Empirical Characteristic function estimator (EGF) based on the unconditional characteristic function. However, the procedure was derived only for the stochastic volatility models without jumps. Thus, it has become the subject of my research. This thesis consists of three parts. Each one is written as independent and self contained article. At the same time, questions that are answered by the second and third parts of this Work arise naturally from the issues investigated and results obtained in the first one. The first chapter is the theoretical foundation of the thesis. It proposes an estimation procedure for the stochastic volatility models with jumps both in the asset price and variance processes. The estimation procedure is based on the joint unconditional characteristic function for the stochastic process. The major analytical result of this part as well as of the whole thesis is the closed form expression for the joint unconditional characteristic function for the stochastic volatility jump-diffusion models. The empirical part of the chapter suggests that besides a stochastic volatility, jumps both in the mean and the volatility equation are relevant for modelling returns of the S&P500 index, which has been chosen as a general representative of the stock asset class. Hence, the next question is: what jump process to use to model returns of the S&P500. The decision about the jump process in the framework of the affine jump- diffusion models boils down to defining the intensity of the compound Poisson process, a constant or some function of state variables, and to choosing the distribution of the jump size. While the jump in the variance process is usually assumed to be exponential, there are at least three distributions of the jump size which are currently used for the asset log-prices: normal, exponential and double exponential. The second part of this thesis shows that normal jumps in the asset log-returns should be used if we are to model S&P500 index by a stochastic volatility jump-diffusion model. This is a surprising result. Exponential distribution has fatter tails and for this reason either exponential or double exponential jump size was expected to provide the best it of the stochastic volatility jump-diffusion models to the data. The idea of testing the efficiency of the Continuous ECF estimator on the simulated data has already appeared when the first estimation results of the first chapter were obtained. In the absence of a benchmark or any ground for comparison it is unreasonable to be sure that our parameter estimates and the true parameters of the models coincide. The conclusion of the second chapter provides one more reason to do that kind of test. Thus, the third part of this thesis concentrates on the estimation of parameters of stochastic volatility jump- diffusion models on the basis of the asset price time-series simulated from various "true" parameter sets. The goal is to show that the Continuous ECF estimator based on the joint unconditional characteristic function is capable of finding the true parameters. And, the third chapter proves that our estimator indeed has the ability to do so. Once it is clear that the Continuous ECF estimator based on the unconditional characteristic function is working, the next question does not wait to appear. The question is whether the computation effort can be reduced without affecting the efficiency of the estimator, or whether the efficiency of the estimator can be improved without dramatically increasing the computational burden. The efficiency of the Continuous ECF estimator depends on the number of dimensions of the joint unconditional characteristic function which is used for its construction. Theoretically, the more dimensions there are, the more efficient is the estimation procedure. In practice, however, this relationship is not so straightforward due to the increasing computational difficulties. The second chapter, for example, in addition to the choice of the jump process, discusses the possibility of using the marginal, i.e. one-dimensional, unconditional characteristic function in the estimation instead of the joint, bi-dimensional, unconditional characteristic function. As result, the preference for one or the other depends on the model to be estimated. Thus, the computational effort can be reduced in some cases without affecting the efficiency of the estimator. The improvement of the estimator s efficiency by increasing its dimensionality faces more difficulties. The third chapter of this thesis, in addition to what was discussed above, compares the performance of the estimators with bi- and three-dimensional unconditional characteristic functions on the simulated data. It shows that the theoretical efficiency of the Continuous ECF estimator based on the three-dimensional unconditional characteristic function is not attainable in practice, at least for the moment, due to the limitations on the computer power and optimization toolboxes available to the general public. Thus, the Continuous ECF estimator based on the joint, bi-dimensional, unconditional characteristic function has all the reasons to exist and to be used for the estimation of parameters of the stochastic volatility jump-diffusion models.

On the connectivity of the escaping set for complex exponential Misiurewicz parameters

Let $ E_{\lambda}(z)=\lambda {\rm exp}(z), \lambda\in \mathbb{C}$, be the complex exponential family. For all functions in the family there is a unique asymptotic value at 0 (and no critical values). For a fixed $ \lambda$, the set of points in $ \mathbb{C}$ with orbit tending to infinity is called the escaping set. We prove that the escaping set of $ E_{\lambda}$ with $ \lambda$ Misiurewicz (that is, a parameter for which the orbit of the singular value is strictly preperiodic) is a connected set.

Quasiconformal mappings and inequalities involving special functions

This PhD thesis in Mathematics belongs to the field of Geometric Function Theory. The thesis consists of four original papers. The topic studied deals with quasiconformal mappings and their distortion theory in Euclidean n-dimensional spaces. This theory has its roots in the pioneering papers of F. W. Gehring and J. Väisälä published in the early 1960’s and it has been studied by many mathematicians thereafter. In the first paper we refine the known bounds for the so-called Mori constant and also estimate the distortion in the hyperbolic metric. The second paper deals with radial functions which are simple examples of quasiconformal mappings. These radial functions lead us to the study of the so-called p-angular distance which has been studied recently e.g. by L. Maligranda and S. Dragomir. In the third paper we study a class of functions of a real variable studied by P. Lindqvist in an influential paper. This leads one to study parametrized analogues of classical trigonometric and hyperbolic functions which for the parameter value p = 2 coincide with the classical functions. Gaussian hypergeometric functions have an important role in the study of these special functions. Several new inequalities and identities involving p-analogues of these functions are also given. In the fourth paper we study the generalized complete elliptic integrals, modular functions and some related functions. We find the upper and lower bounds of these functions, and those bounds are given in a simple form. This theory has a long history which goes back two centuries and includes names such as A. M. Legendre, C. Jacobi, C. F. Gauss. Modular functions also occur in the study of quasiconformal mappings. Conformal invariants, such as the modulus of a curve family, are often applied in quasiconformal mapping theory. The invariants can be sometimes expressed in terms of special conformal mappings. This fact explains why special functions often occur in this theory.

Implicit and explicit functions in the acquisition of a phonics rule in the word recognition of learning disabled and non learning disabled students /

One group of 12 non learning disabled students and two groups of 12 learning disabled students between the ges of 10 and 12 were measured on implicit and explicit knowledge cquisition. Students in each group implicitly cquired knowledge bout I of 2 vocabulary rules. The vocabulary rules governed the pronunciation of 2 types of pseudowords. After completing the implicit acquisition phase, all groups were administered a test of implicit knowledge. The non learning disabled group and I learning disabled group were then asked to verbalize the knowledge acquired during the initial phase. This was a test of explicit knowledge. All 3 groups were then given a postlest of implicit knowledge. This tcst was a measure of the effectiveness of the employment of the verbalization technique. Results indicate that implicit knowledge capabilities for both the learning disabled and non learning disabled groups were intact. However. there were significant differences between groups on explicit knowledge capabilities. This led to the conclusion that implicit functions show little individual differences, and that explicit functions are affected by ability difference. Furthermore, the employment of the verbalization technique significantly increased POStlest scores for learning disabled students. This suggested that the use of metacognitive techniques was a beneficial learning tool for learning disabled students.

Role of the protein tyrosine phosphatase DEP-1 in Src activation and the mediation of biological cell functions of endothelial and breast cancer cells

L’implication des protéines tyrosines phosphatases (PTPs) dans la régulation de la signalisation et la médiation des fonctions cellulaires a été bien établie dans les dernières années. Cependant, les mécanismes moléculaires par lesquels les PTPs régulent les processus fondamentaux tels que l’angiogenèse demeurent méconnus. Il a été rapporté que l’expression de la PTP DEP-1 (Density-enhanced phosphatase 1) augmente avec la densité cellulaire et corrèle avec la déphosphorylation du récepteur VEGFR2. Cette déphosphorylation contribue à l’inhibition de contact dans les cellules endothéliales à confluence et diminue l’activité du VEGFR2 en déphosphorylant spécifiquement ses résidus catalytiques Y1054/1059. De plus, la plupart des voies de signalisation en aval du VEGFR2 sont diminuées sauf la voie Src-Gab1-AKT. DEP-1 déphosphoryle la Y529 de Src et contribue à la promotion de la survie dans les cellules endothéliales. L’objectif de cette thèse est de mieux définir le rôle de DEP-1 dans la régulation de l’activité de Src et les réponses biologiques dans les cellules endothéliales. Nous avons identifié les résidus Y1311 et Y1320 dans la queue C-terminale de DEP-1 comme sites majeurs de phosphorylation en réponse au VEGF. La phosphorylation de ces résidus est requise pour l’activation de Src et médie le remodelage des jonctions cellules-cellules dépendantes de Src. Ce remodelage induit la perméabilité, l’invasion et la formation de capillaires en réponse au VEGF. Nos résultats démontrent que la phosphorylation de DEP-1 sur résidu tyrosine est requise pour diriger la spécificité de DEP-1 vers son substrat Src. Les travaux révèlent pour la première fois un rôle positif de DEP-1 sur l’induction du programme angiogénique des cellules endothéliales. En plus de la phosphorylation sur tyrosine, DEP-1 est constitutivement phosphorylé sur la thréonine 1318 situé à proximité de la Y1320 en C-terminal. Cette localisation de la T1318 suggère que ce résidu pourrait être impliqué dans la régulation de la Y1320. En effet, nous avons observé que la T1318 de DEP-1 est phosphorylée potentiellement par CK2, et que cette phosphorylation régule la phosphorylation de DEP-1 sur tyrosine et sa capacité de lier et d’activer Src. En accord avec ces résultats, nos travaux révèlent que la surexpression du mutant DEP-1 T1318A diminue le remodelage des jonctions cellules-cellules et par conséquent la perméabilité. Nos résultats suggèrent donc que la T1318 de DEP-1 constitue un nouveau mécanisme de contrôle de la phosphorylation sur tyrosine et que ceci résulte en l’activation de Src et l’induction des fonctions biologiques des cellules endothéliales en réponse au VEGF. Suite à ces travaux dans les cellules endothéliales qui démontrent un rôle positif de DEP-1 dans la médiation des réponses angiogéniques, nous avons voulu approfondir nos connaissances sur l’implication potentielle de DEP-1 dans les cellules cancéreuses où l’activité de Src est requise pour la progression tumorale. Malgré le rôle connu de DEP-1 comme suppresseur tumoral dans différents types de cancer, nous avons émis l’hypothèse que DEP-1 pourrait promouvoir les fonctions biologiques dépendantes de Src telles que la migration et l’invasion dans les cellules cancéreuses. Ainsi, nous avons observé que l’expression de DEP-1 est plus élevée dans les lignées basales de cancer du sein qui sont plus invasives comparativement aux lignées luminales peu invasives. Dans les lignées basales, DEP-1 active Src, médie la motilité cellulaire dépendante de Src et régule la localisation des protéines impliquées dans l’organisation du cytosquelette. L’analyse d’un micro-étalage de tissu a révélé que l’expression de DEP-1 est associée avec une réduction tendencielle de survie des patients. Nos résultats proposent donc, un rôle de promoteur tumoral pour DEP-1 dans la progression du cancer du sein. Les travaux présentés dans cette thèse démontrent pour la première fois que DEP-1 peut agir comme promoteur des réponses angiogéniques et du phénotype pro-invasif des lignées basales du cancer du sein probablement du à sa capacité d’activer Src. Nos résultats suggèrent ainsi que l’expression de DEP-1 pourrait contribuer à la progression tumorale et la formation de métastases. Ces découvertes laissent donc entrevoir que DEP-1 représente une nouvelle cible thérapeutique potentielle pour contrer l’angiogenèse et le développement du cancer.