Approximation des fonctions harmoniques par des séries universelles surconvergentes

Thèse numérisée par la Division de la gestion de documents et des archives de l'Université de Montréal

Représentations analytiques des objets géométriques et contours actifs en imagerie

Mémoire numérisé par la Direction des bibliothèques de l'Université de Montréal.

Représentations analytiques des objets géométriques et contours actifs en imagerie

Mémoire numérisé par la Direction des bibliothèques de l'Université de Montréal.

Disordered ensembles of random matrices

It is shown that the families of generalized matrix ensembles recently considered which give rise to an orthogonal invariant stable Levy ensemble can be generated by the simple procedure of dividing Gaussian matrices by a random variable. The nonergodicity of this kind of disordered ensembles is investigated. It is shown that the same procedure applied to random graphs gives rise to a family that interpolates between the Erdos-Renyi and the scale free models.

Atom lasers, coherent states, and coherence II. Maximally robust ensembles of pure states

As discussed in the preceding paper [Wiseman and Vaccaro, preceding paper, Phys. Rev. A 65, 043605 (2002)], the stationary state of an optical or atom laser far above threshold is a mixture of coherent field states with random phase, or, equivalently, a Poissonian mixture of number states. We are interested in which, if either, of these descriptions of rho(ss) as a stationary ensemble of pure states, is more natural. In the preceding paper we concentrated upon the question of whether descriptions such as these are physically realizable (PR). In this paper we investigate another relevant aspect of these ensembles, their robustness. A robust ensemble is one for which the pure states that comprise it survive relatively unchanged for a long time under the system evolution. We determine numerically the most robust ensembles as a function of the parameters in the laser model: the self-energy chi of the bosons in the laser mode, and the excess phase noise nu. We find that these most robust ensembles are PR ensembles, or similar to PR ensembles, for all values of these parameters. In the ideal laser limit (nu=chi=0), the most robust states are coherent states. As the phase noise or phase dispersion is increased through nu or the self-interaction of the bosons chi, respectively, the most robust states become more and more amplitude squeezed. We find scaling laws for these states, and give analytical derivations for them. As the phase diffusion or dispersion becomes so large that the laser output is no longer quantum coherent, the most robust states become so squeezed that they cease to have a well-defined coherent amplitude. That is, the quantum coherence of the laser output is manifest in the most robust PR ensemble being an ensemble of states with a well-defined coherent amplitude. This lends support to our approach of regarding robust PR ensembles as the most natural description of the state of the laser mode. It also has interesting implications for atom lasers in particular, for which phase dispersion due to self-interactions is expected to be large.

Atom lasers, coherent states, and coherence. I. Physically realizable ensembles of pure states

A laser, be it an optical laser or an atom laser, is an open quantum system that produces a coherent beam of bosons (photons or atoms, respectively). Far above threshold, the stationary state rho(ss) of the laser mode is a mixture of coherent-field states with random phase, or, equivalently, a Poissonian mixture of number states. This paper answers the question: can descriptions such as these, of rho(ss) as a stationary ensemble of pure states, be physically realized? Here physical realization is as defined previously by us [H. M. Wiseman and J. A. Vaccaro, Phys. Lett. A 250, 241 (1998)]: an ensemble of pure states for a particular system can be physically realized if, without changing the dynamics of the system, an experimenter can (in principle) know at any time that the system is in one of the pure-state members of the ensemble. Such knowledge can be obtained by monitoring the baths to which the system is coupled, provided that coupling is describable by a Markovian master equation. Using a family of master equations for the (atom) laser, we solve for the physically realizable (PR) ensembles. We find that for any finite self-energy chi of the bosons in the laser mode, the coherent-state ensemble is not PR; the closest one can come to it is an ensemble of squeezed states. This is particularly relevant for atom lasers, where the self-energy arising from elastic collisions is expected to be large. By contrast, the number-state ensemble is always PR. As the self-energy chi increases, the states in the PR ensemble closest to the coherent-state ensemble become increasingly squeezed. Nevertheless, there are values of chi for which states with well-defined coherent amplitudes are PR, even though the atom laser is not coherent (in the sense of having a Bose-degenerate output). We discuss the physical significance of this anomaly in terms of conditional coherence (and hence conditional Bose degeneracy).

Electroanalysis of urinary L-dopa using tyrosinase immobilized on gold nanoelectrode ensembles

The performance of an amperometric biosensor constructed by associating tyrosinase (Tyr) enzyme with the advantages of a 3D gold nanoelectrode ensemble (GNEE) is evaluated in a flow-injection analysis (FIA) system for the analysis of l-dopa. GNEEs were fabricated by electroless deposition of the metal within the pores of polycarbonate track-etched membranes. A simple solvent etching procedure based on the solubility of polycarbonate membranes is adopted for the fabrication of the 3D GNEE. Afterward, enzyme was immobilized onto preformed self-assembled monolayers of cysteamine on the 3D GNEEs (GNEE-Tyr) via cross-linking with glutaraldehyde. The experimental conditions of the FIA system, such as the detection potential (−0.200 V vs. Ag/AgCl) and flow rates (1.0 mL min−1) were optimized. Analytical responses for l-dopa were obtained in a wide concentration range between 1 × 10−8 mol L−1 and 1 × 10−2 mol L−1. The limit of quantification was found to be 1 × 10−8 mol L−1 with a resultant % RSD of 7.23% (n = 5). The limit of detection was found to be 1 × 10−9 mol L−1 (S/N = 3). The common interfering compounds, namely glucose (10 mmol L−1), ascorbic acid (10 mmol L−1), and urea (10 mmol L−1), were studied. The recovery of l-dopa (1 × 10−7 mol L−1) from spiked urine samples was found to be 96%. Therefore, the developed method is adequate to be applied in the clinical analysis.

Assessment of the ensembles regional climate models in the representation of precipitation variability and extremes over Portugal

A new data set of daily gridded observations of precipitation, computed from over 400 stations in Portugal, is used to assess the performance of 12 regional climate models at 25 km resolution, from the ENSEMBLES set, all forced by ERA-40 boundary conditions, for the 1961-2000 period. Standard point error statistics, calculated from grid point and basin aggregated data, and precipitation related climate indices are used to analyze the performance of the different models in representing the main spatial and temporal features of the regional climate, and its extreme events. As a whole, the ENSEMBLES models are found to achieve a good representation of those features, with good spatial correlations with observations. There is a small but relevant negative bias in precipitation, especially in the driest months, leading to systematic errors in related climate indices. The underprediction of precipitation occurs in most percentiles, although this deficiency is partially corrected at the basin level. Interestingly, some of the conclusions concerning the performance of the models are different of what has been found for the contiguous territory of Spain; in particular, ENSEMBLES models appear too dry over Portugal and too wet over Spain. Finally, models behave quite differently in the simulation of some important aspects of local climate, from the mean climatology to high precipitation regimes in localized mountain ranges and in the subsequent drier regions.

MODELES DES TRANSFERTS RADIATIFS A L'INTERIEUR DES COUVERTS VEGETAUX LES SOLUTIONS ANALYTIQUES

Cette étude décrit la modélisation mathématique des transferts radiatifs en milieu végétal, en focalisant l'attention sur le régime du rayonnement solaire au sein des couverts végétaux homogènes. Le rayonnement solaire est traité en quatre composantes principales: rayonnement primaire et complémentaire, chacune de ces parties étant constituée des composantes directe et diffuse. On a présenté, dans un contexte assez général, les équations différentielles ou les systèmes d'équations différentielles qui gouvernent les différents processus de interaction rayonnement-végétation, et des solutions analytiques sont proposées pour les différentes composantes.

Intérêt de l'éthylglucuronide comme marqueur d'abus d'alcool, aspects analytiques, diagnostiques et médico-légaux

RESUMEUne consommation excessive et chronique d'alcool est associée à une augmentation significative de la morbidité et de la mortalité. L'identification de marqueurs biologiques fiables, permettant de mettre en évidence une consommation excessive et chronique, présente donc un intérêt certain pour prévenir les conséquences néfastes de l'abus d'alcool. L'approche couramment employée consiste à mesurer les marqueurs biologiques indirects dans le sang, tels que les marqueurs hépatiques dont l'augmentation peut résulter d'une consommation chronique et excessive d'alcool. Cependant, leur valeur diagnostique est souvent limitée par leur manque de sensibilité et/ou de spécificité et leur combinaison est généralement recommandée pour améliorer le diagnostic. A ce jour, il n'existe pas de marqueur biologique permettant le diagnostic fiable d'une consommation chronique et excessive d'alcool.L'objectif principal de cette thèse était d'évaluer la pertinence de l'éthylglucuronide (EtG), un métabolite direct de l'éthanol présentant la particularité d'être incorporé dans les cheveux, comme marqueur d'une consommation chronique et excessive d'alcool. Dans un premier temps, une revue de la littérature a permis de dresser un état des lieux de l'usage de l'EtG et d'identifier les axes de réflexion. L'EtG s'est révélé être un marqueur efficace pour identifier une consommation chronique et excessive d'alcool. Cependant, l'absence de seuil de positivité fiable et une méconnaissance des facteurs influençant l'incorporation de l'EtG dans les cheveux ont été mises en évidence. Afin d'investiguer ces différents points, deux études ont été conduites : (1) une étude chez le rat pour tenter de comprendre les facteurs influençant l'incorporation de l'EtG dans les cheveux et étudier la relation entre la quantité d'alcool administrée et la concentration d'EtG mesurée dans les cheveux; et (2) une étude clinique afin de déterminer les performances diagnostiques de l'EtG comme marqueur d'une consommation excessive et chronique d'alcool. Une méthode analytique sensible et sélective par chromatographic gazeuse couplée à la spectrométrie de masse en tandem a été développée et appliquée à l'analyse de l'EtG dans les cheveux.Le sang semblait jouer un rôle majeur dans l'incorporation de l'EtG dans les poils. Son incorporation n'était pas influencée par la pigmentation. La concentration d'EtG mesurée dans les poils de rats reflétait la dose d'éthanol administrée. De plus, la mesure de l'EtG dans les cheveux humains a démontré de très bonnes performances diagnostiques pour détecter une consommation excessive et chronique d'alcool. Les performances diagnostiques de l'EtG surpassaient celles des marqueurs hépatiques usuels seuls ou combinés. L'EtG n'était pas influencé par l'âge, le sexe ou l'indice de masse corporelle. Un seuil de positivité de 25 pg/mg permettait de détecter les consommateurs à usage nocif avec une grande fiabilité. Un seuil de positivité de 9 pg/mg permettait de détecter les consommateurs à risque.SUMMARYChronic and excessive alcohol consumption is associated with a significant increase of morbidity and mortality. The identification of a reliable biomarker to detect chronic and excessive alcohol consumers would be valuable to prevent alcohol's harmful effects. The combined analysis of 2 or more hepatic biomarkers, which are known to be increased following sustained alcohol consumption, is usually applied to enhance the diagnostic performance in identifying chronic and excessive alcohol consumers. However, their diagnostic value is often limited by their lack of sensitivity and / or specificity and their combination is generally recommended to improve diagnosis. To date, there are no reliable biomarkers available for diagnosing chronic and excessive alcohol consumption.The main objective of this research was to evaluate the relevance of EtG, a direct alcohol metabolite, as a biomarker of chronic and excessive alcohol consumption, thanks to its characteristic to incorporate into hair. First, a review of literature on the use of EtG was carried out. EtG demonstrated strong potential in detecting chronic and excessive alcohol consumption. However, the lack of reliable cutoff and the unawareness of factors that affect the EtG incorporation into hair were stressed. To investigate these points, two studies have been conducted: (1) a nonclinical study in rats to determine the factors affecting the incorporation of EtG into hair as well as to investigate the relationship between the amount of alcohol administered and the EtG concentration measured in hair; and (2) a clinical study to determine the diagnostic performance of EtG as a biomarker for the identification of chronic and excessive alcohol consumers. A sensitive and specific Gas Chromatography-Mass Spectrometry coupled to tandem Mass Spectrometry method has been developed and applied to hair EtG analysis.Bloodstream seemed to play a major role in the EtG incorporation into hair. EtG incorporation into rat hair was not affected by hair pigmentation. EtG concentration in rat hair appeared to reflect the EtG concentration in blood. Besides, EtG demonstrated strong diagnostic performance in detecting both heavy alcohol consumption and at-risk alcohol consumption, and clearly outperformed diagnostic performance of hepatic biomarkers. In contrast with hepatic biomarkers, EtG was not associated with age, gender or body mass index. A reliable cutoff value of 25 pg/mg allowed to detect heavy drinkers; a reliable cutoff value of 9 pg/mg allowed to detect at-risk drinkers.