Perturbation theory for classical thermodynamic Green's functions

A systematic time-dependent perturbation scheme for classical canonical systems is developed based on a Wick's theorem for thermal averages of time-ordered products. The occurrence of the derivatives with respect to the canonical variables noted by Martin, Siggia, and Rose implies that two types of Green's functions have to be considered, the propagator and the response function. The diagrams resulting from Wick's theorem are "double graphs" analogous to those introduced by Dyson and also by Kawasaki, in which the response-function lines form a "tree structure" completed by propagator lines. The implication of a fluctuation-dissipation theorem on the self-energies is analyzed and compared with recent results by Deker and Haake.

Revisiting Field Capacity (FC): variation of definition of FC and its estimation from pedotransfer functions

Taking into account the nature of the hydrological processes involved in in situ measurement of Field Capacity (FC), this study proposes a variation of the definition of FC aiming not only at minimizing the inadequacies of its determination, but also at maintaining its original, practical meaning. Analysis of FC data for 22 Brazilian soils and additional FC data from the literature, all measured according to the proposed definition, which is based on a 48-h drainage time after infiltration by shallow ponding, indicates a weak dependency on the amount of infiltrated water, antecedent moisture level, soil morphology, and the level of the groundwater table, but a strong dependency on basic soil properties. The dependence on basic soil properties allowed determination of FC of the 22 soil profiles by pedotransfer functions (PTFs) using the input variables usually adopted in prediction of soil water retention. Among the input variables, soil moisture content θ (6 kPa) had the greatest impact. Indeed, a linear PTF based only on it resulted in an FC with a root mean squared residue less than 0.04 m³ m-3 for most soils individually. Such a PTF proved to be a better FC predictor than the traditional method of using moisture content at an arbitrary suction. Our FC data were compatible with an equivalent and broader USA database found in the literature, mainly for medium-texture soil samples. One reason for differences between FCs of the two data sets of fine-textured soils is due to their different drainage times. Thus, a standardized procedure for in situ determination of FC is recommended.

PEDO-TRANSFER FUNCTIONS FOR ESTIMATING SOIL BULK DENSITY IN CENTRAL AMAZONIA

Under field conditions in the Amazon forest, soil bulk density is difficult to measure. Rigorous methodological criteria must be applied to obtain reliable inventories of C stocks and soil nutrients, making this process expensive and sometimes unfeasible. This study aimed to generate models to estimate soil bulk density based on parameters that can be easily and reliably measured in the field and that are available in many soil-related inventories. Stepwise regression models to predict bulk density were developed using data on soil C content, clay content and pH in water from 140 permanent plots in terra firme (upland) forests near Manaus, Amazonas State, Brazil. The model results were interpreted according to the coefficient of determination (R2) and Akaike information criterion (AIC) and were validated with a dataset consisting of 125 plots different from those used to generate the models. The model with best performance in estimating soil bulk density under the conditions of this study included clay content and pH in water as independent variables and had R2 = 0.73 and AIC = -250.29. The performance of this model for predicting soil density was compared with that of models from the literature. The results showed that the locally calibrated equation was the most accurate for estimating soil bulk density for upland forests in the Manaus region.

Finite-size effects in nonequilibrium correlation functions

We have shown that finite-size effects in the correlation functions away from equilibrium may be introduced through dimensionless numbers: the Nusselt numbers, accounting for both the nature of the boundaries and the size of the system. From an analysis based on fluctuating hydrodynamics, we conclude that the mean-square fluctuations satisfy scaling laws, since they depend only on the dimensionless numbers in addition to reduced variables. We focus on the case of diffusion modes and describe some physical situations in which finite-size effects may be relevant.

Self and cross-velocity correlation functions and diffusion coefficients in liquids: a molecular dynamics study of binary mixtures of soft spheres

Molecular dynamics simulation is applied to the study of the diffusion properties in binary liquid mixtures made up of soft-sphere particles with different sizes and masses. Self- and distinct velocity correlation functions and related diffusion coefficients have been calculated. Special attention has been paid to the dynamic cross correlations which have been computed through recently introduced relative mean molecular velocity correlation functions which are independent on the reference frame. The differences between the distinct velocity correlations and diffusion coefficients in different reference frames (mass-fixed, number-fixed, and solvent-fixed) are discussed.

Loss of mitochondrial functions associated with azole resistance in Candida glabrata results in enhanced virulence in mice.

Mitochondrial dysfunction is one of the possible mechanisms by which azole resistance can occur in Candida glabrata. Cells with mitochondrial DNA deficiency (so-called "petite mutants") upregulate ATP binding cassette (ABC) transporter genes and thus display increased resistance to azoles. Isolation of such C. glabrata mutants from patients receiving antifungal therapy or prophylaxis has been rarely reported. In this study, we characterized two sequential and related C. glabrata isolates recovered from the same patient undergoing azole therapy. The first isolate (BPY40) was azole susceptible (fluconazole MIC, 4 μg/ml), and the second (BPY41) was azole resistant (fluconazole MIC, >256 μg/ml). BPY41 exhibited mitochondrial dysfunction and upregulation of the ABC transporter genes C. glabrata CDR1 (CgCDR1), CgCDR2, and CgSNQ2. We next assessed whether mitochondrial dysfunction conferred a selective advantage during host infection by testing the virulence of BPY40 and BPY41 in mice. Surprisingly, even with in vitro growth deficiency compared to BPY40, BPY41 was more virulent (as judged by mortality and fungal tissue burden) than BPY40 in both systemic and vaginal murine infection models. The increased virulence of the petite mutant correlated with a drastic gain of fitness in mice compared to that of its parental isolate. To understand this unexpected feature, genome-wide changes in gene expression driven by the petite mutation were analyzed by use of microarrays during in vitro growth. Enrichment of specific biological processes (oxido-reductive metabolism and the stress response) was observed in BPY41, all of which was consistent with mitochondrial dysfunction. Finally, some genes involved in cell wall remodelling were upregulated in BPY41 compared to BPY40, which may partially explain the enhanced virulence of BPY41. In conclusion, this study shows for the first time that mitochondrial dysfunction selected in vivo under azole therapy, even if strongly affecting in vitro growth characteristics, can confer a selective advantage under host conditions, allowing the C. glabrata mutant to be more virulent than wild-type isolates.

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 configuration of Herman rings of meromorphic functions

We prove some results concerning the possible configuration s of Herman rings for transcendental meromorphic functions. We show that one pole is enough to obtain cycles of Herman rings of arbitrary period a nd give a sufficient condition for a configuration to be realizable.

Hierarchy of interactive functions in father-mother-baby three-way games

In developmental research, the family has mainly been studied through dyadic interaction. Three-way interactions have received less attention, partly because of their complexity. This difficulty may be overcome by distinguishing between four hierarchically embedded functions in three-way interactions: (1) participation (inclusion of all participants), (2) organization (partners keeping to their roles), (3) focalization (sharing a common focus) and (4) affective contact (being in tune). We document this hierarchical model on a sample of 80 families observed in the Lausanne Trilogue Play situation across four different sites. Hierarchy between functions was demonstrated by means of Guttman scalability coefficient. Given the importance of the child's development in a threesome, the pertinence of this model for family assessment is discussed.

Epithelial sodium channel/degenerin family of ion channels: a variety of functions for a shared structure.

The recently discovered epithelial sodium channel (ENaC)/degenerin (DEG) gene family encodes sodium channels involved in various cell functions in metazoans. Subfamilies found in invertebrates or mammals are functionally distinct. The degenerins in Caenorhabditis elegans participate in mechanotransduction in neuronal cells, FaNaC in snails is a ligand-gated channel activated by neuropeptides, and the Drosophila subfamily is expressed in gonads and neurons. In mammals, ENaC mediates Na+ transport in epithelia and is essential for sodium homeostasis. The ASIC genes encode proton-gated cation channels in both the central and peripheral nervous system that could be involved in pain transduction. This review summarizes the physiological roles of the different channels belonging to this family, their biophysical and pharmacological characteristics, and the emerging knowledge of their molecular structure. Although functionally different, the ENaC/DEG family members share functional domains that are involved in the control of channel activity and in the formation of the pore. The functional heterogeneity among the members of the ENaC/DEG channel family provides a unique opportunity to address the molecular basis of basic channel functions such as activation by ligands, mechanotransduction, ionic selectivity, or block by pharmacological ligands.

Involvement of the RasGAP derived fragment N in the resistance of pancreatic beta cells towards apoptosis

RESUME DESTINE AUX NON SCIENTIFIQUESLe diabète est une maladie associée à un excès de glucose (sucre) dans le sang. Le taux de glucose sanguin augmente lorsque l'action d'une hormone, l'insuline, responsable du transport du glucose du sang vers les tissus de l'organisme diminue, ou lorsque les quantités d'insuline à disposition sont inadéquates.L'une des causes communes entre les deux grands types de diabète connus, le type 1 et le type 2, est la disparition des cellules beta du pancréas, spécialisées dans la sécrétion d'insuline, par mort cellulaire programmée aussi appelée apoptose. Alors que dans le diabète de type 1, la destruction des cellules beta est causée par notre propre système immunitaire, dans le diabète de type 2, la mort de ces cellules, est principalement causée par des concentrations élevées de graisses saturés ou de molécules impliquées dans l'inflammation que l'on rencontre en quantités augmentées chez les personnes obèses. Etant donné l'augmentation épidémique du nombre de personnes obèses de par le monde, on estime que le nombre de personnes diabétiques (dont une majorité sont des diabétiques de type 2), va passer de 171 million en l'an 2000, à 366 million en l'an 2030, expliquant la nécessité absolue de mettre au point de nouvelles stratégies thérapeutique pour combattre cette maladie.L'apoptose est un processus complexe dont la dérégulation induit de nombreuses affections allant du cancer jusqu'au diabète. L'activation de caspase 3, une protéine clé contrôlant la mort cellulaire, était connue pour systématiquement mener à la mort cellulaire programmée. Ces dernières années, notre laboratoire a décrit des mécanismes de survie qui sont activés par caspase 3 et qui expliquent sans doute pourquoi son activation ne mène pas systématiquement à la mort cellulaire. Lorsqu'elle est faiblement activée, caspase 3 clive une autre protéine appelée RasGAP en deux protéines plus courtes dont l'une, appelée le fragment Ν a la particularité de protéger les cellules contre l'apoptose.Durant ma thèse, j'ai été impliqué dans divers projets destinés à mieux comprendre comment le fragment Ν protégeait les cellules contre l'apoptose et à savoir s'il pouvait être utilisé comme outil thérapeutique dans les conditions de survenue d'un diabète expérimental. C'est dans ce but que nous avons créé une souris transgénique, appelée RIP-N, exprimant le fragment Ν spécifiquement dans les cellules beta. Comme attendu, les cellules beta de ces souris étaient plus résistantes à la mort induite par des composés connus pour induire le diabète, comme certaines molécules induisant l'inflammation ou les graisses saturées. Nous avons ensuite pu montrer que les souris RIP-N étaient plus résistantes à la survenue d'un diabète expérimental que ce soit par l'injection d'une drogue induisant l'apoptose des cellules beta, que ce soit dans un fond génétique caractérisé par une attaque spontanée des cellules beta par le système immunitaire ou dans le contexte d'un diabète de type 2 induit par l'obésité. Dans plusieurs des modèles animaux étudiés, nous avons pu montrer que le fragment Ν protégeait les cellules en activant une voie protectrice bien connue impliquant successivement les protéines Ras, PI3K et Akt ainsi qu'en bloquant la capacité d'Akt d'activer le facteur NFKB, connu pour être délétère pour la survie de la cellule beta. La capacité qu'a le fragment Ν d'activer Akt tout en prévenant l'activation de NFKB par Akt est par conséquent particulièrement intéressante dans l'intégration des signaux régulant la mort cellulaire dans le contexte de la survenue d'un diabète.La perspective d'utiliser le fragment Ν comme outil thérapeutique dépendra de notre capacité à activer les signaux protecteurs induits par le fragment Ν depuis l'extérieur de la cellule ou de dériver des peptides perméables aux cellules possédant les propriétés du fragment N.2 SUMMARYDiabetes mellitus is an illness associated with excess blood glucose. Blood glucose levels raise when the action of insulin decreases or when insulin is provided in inappropriate amounts. In type 1 diabetes (T1D) as well as in type 2 diabetes (T2D), the insulin secreting beta cells in the pancreas undergo controlled cell death also called apoptosis. Whereas in T1D, beta cells are killed by the immune system, in T2D, they are killed by several factors, among which are increased blood glucose levels, increased levels of harmful lipids or pro-inflammatory cytokines that are released by the dysfunctional fat tissue of obese people. Given the epidemic increase in the number of obese people throughout the world, the number of diabetic people (a majority of which are type 2 diabetes) is estimated to rise from 171 million affected people in the year 2000 to 366 million in 2030 explaining the absolute requirement for new therapies to fight the disease.Apoptosis is a very complex process whose deregulation leads to a wide range of diseases going from cancer to diabetes. Caspase 3 although known as a key molecule controlling apoptosis, has been shown to have various other functions. In the past few years, our laboratory has described a survival mechanism, that takes place at low caspase activity and that might explain how cells that activate their caspases for reasons other than apoptosis survive. In such conditions, caspase 3 cleaves another protein called RasGAP into two shorter proteins, one of which, called fragment N, protects cells from apoptosis.We decided to check whether fragment Ν could be used as a therapeutical tool in the context of diabetes inducing conditions. We thus derived a transgenic mouse line, called RIP-N, in which the expression of fragment Ν is restricted to beta cells. As expected, the beta cells of these mice were more resistant ex-vivo to cell death induced by diabetes inducing factors. We then showed that the RIP-N transgenic mice were resistant to streptozotocin induced diabetes, a mouse model mimicking type 1 diabetes, which correlated to fewer number of apoptotic beta cells in the pancreas of the transgenic mice compared to their controls. The RIP-N transgene also delayed overt diabetes development in the NOD background, a mouse model of autoimmune type 1 diabetes, and delayed the occurrence of obesity induced hyperglycemia in a mouse model of type 2-like diabetes. Interestingly, fragment Ν was mediating its protection by activating the protective Akt kinase, and by blocking the detrimental NFKB factor. Our future ability to activate the protective signals elicited by fragment Ν from the outside of cells or to derive cell permeable peptides bearing the protective properties of fragment Ν might condition our ability to use this protein as a therapeutic tool.3 RESUMELe diabète est une maladie associée à un excès de glucose plasmatique. La glycémie augmente lorsque l'action de l'insuline diminue ou lorsque les quantités d'insuline à disposition sont inadéquates. Dans le diabète de type 1 (D1) comme dans le diabète de type 2 (D2), les cellules beta du pancréas subissent la mort cellulaire programmée aussi appelée apoptose. Alors que dans le D1 les cellules beta sont tuées par le système immunitaire, dans le D2 elles sont tuées par divers facteurs parmi lesquels on trouve des concentrations élevées de glucose, d'acides gras saturés ou de cytokines pro-inflammatoires qui sont sécrétées en concentrations augmentées par le tissu adipeux dysfonctionnel des personnes obèses. Etant donné l'augmentation épidémique du nombre de personnes obèses de par le monde, on estime que le nombre de personnes diabétiques (dont une majorité sont des diabétiques de type 2), va passer de 171 million en l'an 2000, à 366 million en l'an 2030, justifiant la nécessité absolue de mettre au point de nouvelles stratégies thérapeutique pour combattre cette maladie.L'apoptose est un processus complexe dont la dérégulation induit de nombreuses affections allant du cancer jusqu'au diabète. Caspase 3, bien que connue comme étant une protéine clé contrôlant l'apoptose a bien d'autres fonctions démontrées. Ces dernières années, notre laboratoire a décrit un mécanisme de survie qui est activé lorsque caspase 3 est faiblement activée et qui explique probablement comment des cellules qui ont activé leurs caspases pour une autre raison que l'apoptose peuvent survivre. Dans ces conditions, caspase 3 clive une autre protéine appelée RasGAP en deux protéines plus courtes dont l'une, appelée le fragment Ν a la particularité de protéger les cellules contre l'apoptose.Nous avons donc décidé de vérifier si le fragment Ν pouvait être utilisé comme outil thérapeutique dans les conditions de survenue d'un diabète expérimental. Pour se faire, nous avons créé une souris transgénique, appelée RIP-N, exprimant le fragment Ν spécifiquement dans les cellules beta. Comme attendu, les cellules beta de ces souris étaient plus résistantes ex-vivo à la mort induite par des facteurs pro-diabétogènes. Nous avons ensuite pu montrer que les souris RIP-N étaient plus résistantes à la survenue d'un diabète induit par la streptozotocine, un drogue mimant la survenue d'un D1 et que ceci était corrélée à une diminution du nombre de cellules en apoptose dans le pancréas des souris transgéniques comparé à leurs contrôles. L'expression du transgène a aussi eu pour effet de retarder la survenue d'un diabète franc dans le fond génétique NOD, un modèle génétique de diabète de type 1 auto-immun, ainsi que de retarder la survenue d'une hyperglycémie dans un modèle murin de diabète de type 2 induit par l'obésité. Dans plusieurs des modèles animaux étudiés, nous avons pu montrer que le fragment Ν protégeait les cellules en activant la kinase protectrice Akt ainsi qu'en bloquant le facteur délétère NFKB. La perspective d'utiliser le fragment Ν comme outil thérapeutique dépendra de notre capacité à activer les signaux protecteurs induits par le fragment Ν depuis l'extérieur de la cellule ou de dériver des peptides perméables aux cellules possédant les propriétés du fragment

Measures of ionicity of alkaline-earth oxides from the analysis of ab initio cluster wave functions

We present an analysis of the M-O chemical bonding in the binary oxides MgO, CaO, SrO, BaO, and Al2O3 based on ab initio wave functions. The model used to represent the local environment of a metal cation in the bulk oxide is an MO6 cluster which also includes the effect of the lattice Madelung potential. The analysis of the wave functions for these clusters leads to the conclusion that all the alkaline-earth oxides must be regarded as highly ionic oxides; however, the ionic character of the oxides decreases as one goes from MgO, almost perfectly ionic, to BaO. In Al2O3 the ionic character is further reduced; however, even in this case, the departure from the ideal, fully ionic, model of Al3+ is not exceptionally large. These conclusions are based on three measures, a decomposition of the Mq+-Oq- interaction energy, the number of electrons associated to the oxygen ions as obtained from a projection operator technique, and the analysis of the cation core-level binding energies. The increasing covalent character along the series MgO, CaO, SrO, and BaO is discussed in view of the existing theoretical models and experimental data.