Petrou type-D perfect-fluid solutions in generalized Kerr-Schild form.

Generalized KerrSchild space-times for a perfect-fluid source are investigated. New Petrov type D perfect fluid solutions are obtained starting from conformally flat perfect-fluid metrics.

Petrou types D and II perfect-fluid solutions in generalized Kerr-Schild form.

Petrov types D and II perfect-fluid solutions are obtained starting from conformally flat perfect-fluid metrics and by using a generalized KerrSchild ansatz. Most of the Petrov type D metrics obtained have the property that the velocity of the fluid does not lie in the two-space defined by the principal null directions of the Weyl tensor. The properties of the perfect-fluid sources are studied. Finally, a detailed analysis of a new class of spherically symmetric static perfect-fluid metrics is given.

Water Erosion on an Oxisol under Integrated Crop-Forest Systems in a Transitional Area between the Amazon and Cerrado Biomes

ABSTRACT Water erosion is one of the main factors driving soil degradation, which has large economic and environmental impacts. Agricultural production systems that are able to provide soil and water conservation are of crucial importance in achieving more sustainable use of natural resources, such as soil and water. The aim of this study was to evaluate soil and water losses in different integrated production systems under natural rainfall. Experimental plots under six different land use and cover systems were established in an experimental field of Embrapa Agrossilvipastoril in Sinop, state of Mato Grosso, Brazil, in a Latossolo Vermelho-Amarelo Distrófico (Udox) with clayey texture. The treatments consisted of perennial pasture (PAS), crop-forest integration (CFI), eucalyptus plantation (EUC), soybean and corn crop succession (CRP), no ground cover (NGC), and forest (FRS). Soil losses in the treatments studied were below the soil loss limits (11.1 Mg ha-1 yr-1), with the exception of the plot under bare soil (NGC), which exhibited soil losses 30 % over the tolerance limit. Water losses on NGC, EUC, CRP, PAS, CFI and FRS were 33.8, 2.9, 2.4, 1.7, 2.4, and 0.5 % of the total rainfall during the period of study, respectively.

Single-valued solutions for the Böhm-Bawerk horse market game

Single-valued solutions for the case of two-sided market games without product differentiation, also known as Böhm-Bawerk horse market games, are analyzed. The nucleolus is proved to coincide with the tau-value, and is thus the midpoint of the core. Moreover a characterization of this setof games in terms of the assignment matrix is provided.

Time consistent Pareto solutions in common access resource gameswith asymmetric players

In the analysis of equilibrium policies in a di erential game, if agents have different time preference rates, the cooperative (Pareto optimum) solution obtained by applying the Pontryagin's Maximum Principle becomes time inconsistent. In this work we derive a set of dynamic programming equations (in discrete and continuous time) whose solutions are time consistent equilibrium rules for N-player cooperative di erential games in which agents di er in their instantaneous utility functions and also in their discount rates of time preference. The results are applied to the study of a cake-eating problem describing the management of a common property exhaustible natural resource. The extension of the results to a simple common property renewable natural resource model in in nite horizon is also discussed.

Heterogeneous discounting in consumption-investment problems. Time consistent solutions

[cat] En aquest treball s'analitza un model estocàstic en temps continu en el que l'agent decisor descompta les utilitats instantànies i la funció final amb taxes de preferència temporal constants però diferents. En aquest context es poden modelitzar problemes en els quals, quan el temps s'acosta al moment final, la valoració de la funció final incrementa en comparació amb les utilitats instantànies. Aquest tipus d'asimetria no es pot descriure ni amb un descompte estàndard ni amb un variable. Per tal d'obtenir solucions consistents temporalment es deriva l'equació de programació dinàmica estocàstica, les solucions de la qual són equilibris Markovians. Per a aquest tipus de preferències temporals, s'estudia el model clàssic de consum i inversió (Merton, 1971) per a les funcions d'utilitat del tipus CRRA i CARA, comparant els equilibris Markovians amb les solucions inconsistents temporalment. Finalment es discuteix la introducció del temps final aleatori.

Coalitionally monotonic set-solutions for cooperative TU games

A static comparative study on set-solutions for cooperative TU games is carried out. The analysis focuses on studying the compatibility between two classical and reasonable properties introduced by Young (1985) in the context of single valued solutions, namely core-selection and coalitional monotonicity. As the main result, it is showed that coalitional monotonicity is not only incompatible with the core-selection property but also with the bargaining-selection property. This new impossibility result reinforces the tradeoff between these kinds of interesting and intuitive economic properties. Positive results about compatibility between desirable economic properties are given replacing the core selection requirement by the core-extension property.

Aggregate monotonic stable single-valued solutions for cooperative games

[cat] En aquest treball caracteritzem les solucions puntuals de jocs cooperatius d'utilitat transferible que compleixen selecció del core i monotonia agregada. També mostrem que aquestes dues propietats són compatibles amb la individualitat racional, la propietat del jugador fals i la propietat de simetria. Finalment, caracteritzem les solucions puntuals que compleixen les cinc propietats a l'hora.

Integrated methodologies to study human transcriptional regulation from functional genomics data

Abstract : The human body is composed of a huge number of cells acting together in a concerted manner. The current understanding is that proteins perform most of the necessary activities in keeping a cell alive. The DNA, on the other hand, stores the information on how to produce the different proteins in the genome. Regulating gene transcription is the first important step that can thus affect the life of a cell, modify its functions and its responses to the environment. Regulation is a complex operation that involves specialized proteins, the transcription factors. Transcription factors (TFs) can bind to DNA and activate the processes leading to the expression of genes into new proteins. Errors in this process may lead to diseases. In particular, some transcription factors have been associated with a lethal pathological state, commonly known as cancer, associated with uncontrolled cellular proliferation, invasiveness of healthy tissues and abnormal responses to stimuli. Understanding cancer-related regulatory programs is a difficult task, often involving several TFs interacting together and influencing each other's activity. This Thesis presents new computational methodologies to study gene regulation. In addition we present applications of our methods to the understanding of cancer-related regulatory programs. The understanding of transcriptional regulation is a major challenge. We address this difficult question combining computational approaches with large collections of heterogeneous experimental data. In detail, we design signal processing tools to recover transcription factors binding sites on the DNA from genome-wide surveys like chromatin immunoprecipitation assays on tiling arrays (ChIP-chip). We then use the localization about the binding of TFs to explain expression levels of regulated genes. In this way we identify a regulatory synergy between two TFs, the oncogene C-MYC and SP1. C-MYC and SP1 bind preferentially at promoters and when SP1 binds next to C-NIYC on the DNA, the nearby gene is strongly expressed. The association between the two TFs at promoters is reflected by the binding sites conservation across mammals, by the permissive underlying chromatin states 'it represents an important control mechanism involved in cellular proliferation, thereby involved in cancer. Secondly, we identify the characteristics of TF estrogen receptor alpha (hERa) target genes and we study the influence of hERa in regulating transcription. hERa, upon hormone estrogen signaling, binds to DNA to regulate transcription of its targets in concert with its co-factors. To overcome the scarce experimental data about the binding sites of other TFs that may interact with hERa, we conduct in silico analysis of the sequences underlying the ChIP sites using the collection of position weight matrices (PWMs) of hERa partners, TFs FOXA1 and SP1. We combine ChIP-chip and ChIP-paired-end-diTags (ChIP-pet) data about hERa binding on DNA with the sequence information to explain gene expression levels in a large collection of cancer tissue samples and also on studies about the response of cells to estrogen. We confirm that hERa binding sites are distributed anywhere on the genome. However, we distinguish between binding sites near promoters and binding sites along the transcripts. The first group shows weak binding of hERa and high occurrence of SP1 motifs, in particular near estrogen responsive genes. The second group shows strong binding of hERa and significant correlation between the number of binding sites along a gene and the strength of gene induction in presence of estrogen. Some binding sites of the second group also show presence of FOXA1, but the role of this TF still needs to be investigated. Different mechanisms have been proposed to explain hERa-mediated induction of gene expression. Our work supports the model of hERa activating gene expression from distal binding sites by interacting with promoter bound TFs, like SP1. hERa has been associated with survival rates of breast cancer patients, though explanatory models are still incomplete: this result is important to better understand how hERa can control gene expression. Thirdly, we address the difficult question of regulatory network inference. We tackle this problem analyzing time-series of biological measurements such as quantification of mRNA levels or protein concentrations. Our approach uses the well-established penalized linear regression models where we impose sparseness on the connectivity of the regulatory network. We extend this method enforcing the coherence of the regulatory dependencies: a TF must coherently behave as an activator, or a repressor on all its targets. This requirement is implemented as constraints on the signs of the regressed coefficients in the penalized linear regression model. Our approach is better at reconstructing meaningful biological networks than previous methods based on penalized regression. The method is tested on the DREAM2 challenge of reconstructing a five-genes/TFs regulatory network obtaining the best performance in the "undirected signed excitatory" category. Thus, these bioinformatics methods, which are reliable, interpretable and fast enough to cover large biological dataset, have enabled us to better understand gene regulation in humans.

Rapid fluidic exchange microsystem for recording of fast ion channel kinetics in Xenopus oocytes.

We present a new lab-on-a-chip system for electrophysiological measurements on Xenopus oocytes. Xenopus oocytes are widely used host cells in the field of pharmacological studies and drug development. We developed a novel non-invasive technique using immobilized non-devitellinized cells that replaces the traditional "two-electrode voltage-clamp" (TEVC) method. In particular, rapid fluidic exchange was implemented on-chip to allow recording of fast kinetic events of exogenous ion channels expressed in the cell membrane. Reducing fluidic exchange times of extracellular reagent solutions is a great challenge with these large millimetre-sized cells. Fluidic switching is obtained by shifting the laminar flow interface in a perfusion channel under the cell by means of integrated poly-dimethylsiloxane (PDMS) microvalves. Reagent solution exchange times down to 20 ms have been achieved. An on-chip purging system allows to perform complex pharmacological protocols, making the system suitable for screening of ion channel ligand libraries. The performance of the integrated rapid fluidic exchange system was demonstrated by investigating the self-inhibition of human epithelial sodium channels (ENaC). Our results show that the response time of this ion channel to a specific reactant is about an order of magnitude faster than could be estimated with the traditional TEVC technique.

Velocity fluctuations of fracturelike disruptions of associating polymer solutions

Velocity has been measured as a function of time for propagating crack tips as water is injected into solutions of end-capped associating polymers in a rectanguar Hele-Shaw cell. Measurements were performed for flows with different values of cell gap, channel width, polymer molecular weight, and polymer concentration. The condition for the onset of fracturelike behavior is well described by a Deborah number which uses the shear-thinning shear rate of the polymer solution as a characteristic frequency for network relaxation. At low molecular weight, the onset of fracturelike pattern evolution is accompanied by an abrupt jump in tip velocity, followed by a lower and approximately constant acceleration. At high molecular weight, the transition to fracturelike behavior involves passing through a regime that may be understood in terms of stick-slip dynamics. The crack-tip wanders from side to side and fluctuates (in both speed and velocity along the channel) with a characteristic frequency which depends linearly on the invading fluid injection rate.

Velocity-jump instabilities in Hele-Shaw flow of associating polymer solutions

We study fracturelike flow instabilities that arise when water is injected into a Hele-Shaw cell filled with aqueous solutions of associating polymers. We explore various polymer architectures, molecular weights, and solution concentrations. Simultaneous measurements of the finger tip velocity and of the pressure at the injection point allow us to describe the dynamics of the finger in terms of the finger mobility, which relates the velocity to the pressure gradient. The flow discontinuities, characterized by jumps in the finger tip velocity, which are observed in experiments with some of the polymer solutions, can be modeled by using a nonmonotonic dependence between a characteristic shear stress and the shear rate at the tip of the finger. A simple model, which is based on a viscosity function containing both a Newtonian and a non-Newtonian component, and which predicts nonmonotonic regions when the non-Newtonian component of the viscosity dominates, is shown to agree with the experimental data.

Integrated Ladinian bio-chronostratigraphy and geochrononology of Monte San Giorgio (Southern Alps, Switzerland)

New biostratigraphic data significantly improve the age assignment of the Ladinian succession of Monte San Giorgio (UNESCO World Heritage List site, Southern Alps, Switzerland), whose world-famous fossil marine vertebrate faunas are now dated to the substage and zone levels. High-resolution single-zircon U-Pb dating was performed using ID-TIMS and chemical abrasion (CA) pre-treatment technique on volcanic ash layers intercalated in the biostratigraphically-defined intervals of the Meride Limestone. It yielded ages of 241.07 +/- 0.13 Ma (Cava superiore beds, P. gredleri Zone), 240.63 +/- 0.13 Ma (Cassina beds, P gredleri/P. archelaus transition Zone) and 239.51 +/- 0.15 Ma (Lower Kalkschieferzone, P. archelaus Zone). Our results suggest that the time interval including the vertebrate-bearing Middle Triassic section spans around 4 Myr and is thus significantly shorter than so far assumed. The San Giorgio Dolomite and the Meride Limestone correlate with intervals of the Buchenstein Formation and the Wengen Formation in the reference section at Bagolino, where the Global boundary Stratotype Section and Point (GSSP) for the base of the Ladinian was defined. The new radio-isotopic ages of the Meride Limestone are up to 2 Myr older than those published for the biostratigraphically-equivalent intervals at Bagolino but they are consistent with the recent re-dating of the underlying Besano Formation, also performed using the CA technique. Average sedimentation rates at Monte San Giorgio are by more than an order of magnitude higher compared to those assumed for the Buchenstein Formation, which formed under sediment-starved pelagic conditions, and reflect prevailing high subsidence and high carbonate mud supply from the adjoining Salvatore/Esino platforms. Finally, the high-resolution U-Pb ages allow a correlation of the vertebrate faunas of the Cava superiore/Cava inferiore beds with the marine vertebrate record of the Prosanto Formation (Upper Austroalpine), so far precluded by the poor biostratigraphic control of the latter.

Régulation du canal à sodium épithélial par le sodim extracellulaire et développement d'un microsystème intégré pour l'étude électrophysiologique sur ovocytes de "Xenopus laevis"

Résumé : La première partie de ce travail de thèse est consacrée au canal à sodium épithélial (ENaC), l'élément clé du transport transépithélial de Na+ dans le néphron distal, le colon et les voies aériennes. Ce canal est impliqué dans certaines formes génétiques d'hypo- et d'hypertension (PHA I, syndrome de Liddle), mais aussi, indirectement, dans la mucoviscidose. La réabsorption transépithéliale de Na+ est principalement régulée par des hormones (aldostérone, vasopressine), mais aussi directement par le Na+, via deux phénomènes distincts, la « feedback inhibition » et la « self-inhibition » (SI). Ce second phénomène est dépendant de la concentration de Na+ extracellulaire, et montre une cinétique rapide (constante de temps d'environ 3 s). Son rôle physiologique serait d'assurer l'homogénéité de la réabsorption de Na+ et d'empêcher que celle-ci soit excessive lorsque les concentrations de Na+ sont élevées. Différents éléments appuient l'hypothèse de la présence d'un site de détection de la concentration du Na+ extracellulaire sur ENaC, gouvernant la SI. L'objectif de ce premier projet est de démontrer l'existence du site de détection impliqué dans la SI et de déterminer ses propriétés physiologiques et sa localisation. Nous avons montré que les caractéristiques de la SI (en termes de sélectivité et affinité ionique) sont différentes des propriétés de conduction du canal. Ainsi, nos résultats confirment l'hypothèse de l'existence d'un site de détection du Na+ (responsable de la transmission de l'information au mécanisme de contrôle de l'ouverture du canal), différent du site de conduction. Par ailleurs, ce site présente une affinité basse et indépendante du voltage pour le Na+ et le Li+ extracellulaires. Le site semble donc être localisé dans le domaine extracellulaire, plutôt que transmembranaire, de la protéine. L'étape suivante consiste alors à localiser précisément le site sur le canal. Des études précédentes, ainsi que des résultats préliminaires récemment obtenus, mettent en avant le rôle dans la self-inhibition du premiers tiers des boucles extracellulaires des sous-unités α et γ du canal. Le second projet tire son origine des limitations de la méthode classique pour l'étude des canaux ioniques, après expression dans les ovocytes de Xenopus laevis, par la méthode du voltage-clamp à deux électrodes, en particulier les limitations dues à la lenteur des échanges de solutions. En outre, cette méthode souffre de nombreux désavantages (manipulations délicates et peu rapides, grands volumes de solution requis). Plusieurs systèmes améliorés ont été élaborés, mais aucun ne corrige tous les désavantages de la méthode classique Ainsi, l'objectif ici est le développement d'un système, pour l'étude électrophysiologique sur ovocytes, présentant les caractéristiques suivantes : manipulation des cellules facilitée et réduite, volumes de solution de perfusion faibles et vitesse rapide d'échange de la perfusion. Un microsystème intégré sur une puce a été élaboré. Ces capacités de mesure ont été testées en utilisant des ovocytes exprimant ENaC. Des résultats similaires (courbes IV, courbes dose-réponse au benzamil) à ceux obtenus avec le système traditionnel ont été enregistrés avec le microsystème. Le temps d'échange de solution a été estimé à ~20 ms et des temps effectifs de changement ont été déterminés comme étant 8 fois plus court avec le nouveau système comparé au classique. Finalement, la SI a été étudiée et il apparaît que sa cinétique est 3 fois plus rapide que ce qui a été estimé précédemment avec le système traditionnel et son amplitude de 10 à 20 % plus importante. Le nouveau microsystème intégré apparaît donc comme adapté à la mesure électrophysiologique sur ovocytes de Xenopus, et possèdent des caractéristiques appropriées à l'étude de phénomènes à cinétique rapide, mais aussi à des applications de type « high throughput screening ». Summary : The first part of the thesis is related to the Epithelial Sodium Channel (ENaC), which is a key component of the transepithelial Na+ transport in the distal nephron, colon and airways. This channel is involved in hypo- and hypertensive syndrome (PHA I, Liddle syndrome), but also indirectly in cystic fibrosis. The transepithelial reabsorption of Na+ is mainly regulated by hormones (aldosterone, vasopressin), but also directly by Na+ itself, via two distinct phenomena, feedback inhibition and self-inhibition. This latter phenomenon is dependant on the extracellular Na+ concentration and has rapid kinetics (time constant of about 3 s). Its physiological role would be to prevent excessive Na+ reabsorption and ensure this reabsorption is homogenous. Several pieces of evidence enable to propose the hypothesis of an extracellular Na+ sensing site on ENaC, governing self-inhibition. The aim of this first project is to demonstrate the existence of the sensing site involved in self-inhibition and to determine its physiological properties and localization. We show self-inhibition characteristics (ionic selectivity and affinity) are different from the conducting properties of the channel. Our results support thus the hypothesis that the Na+ sensing site (responsible of the transmission of the information about the extracellular Na+ concentration to the channel gating mechanism), is different from the channel conduction site. Furthermore, the site has a low and voltage-insensitive affinity for extracellular Na+ or Li+. This site appears to be located in the extracellular domain rather than in the transmembrane part of the channel protein. The next step is then to precisely localize the site on the channel. Some previous studies and preliminary results we recently obtained highlight the role of the first third of the extracellular loop of the α and γ subunits of the channel in self-inhibition. The second project originates in the limitation of the classical two-electrode voltageclamp system classically used to study ion channels expressed in Xenopus /aevis oocytes, in particular limitations related to the slow solution exchange time. In addition, this technique undergoes several drawbacks (delicate manipulations, time consumption volumes). Several improved systems have been built up, but none corrected all these detriments. The aim of this second study is thus to develop a system for electrophysiological study on oocytes featuring an easy and reduced cell handling, small necessary perfusion volumes and fast fluidic exchange. This last feature establishes the link with the first project, as it should enable to improve the kinetics analysis of self-inhibition. A PDMS chip-based microsystem has been elaborated. Its electrophysiological measurement abilities have been tested using oocytes expressing ENaC. Similar measurements (IV curves of benzamil-sensitive currents, benzamil dose-response curves) have been obtained with this system, compared to the traditional one. The solution exchange time has been estimated at N20 ms and effective exchange times (on inward currents) have been determined as 8 times faster with the novel system compared to the classical one. Finally, self-inhibition has been studied and it appears its kinetics is 3 times faster and its amplitude 10 to 20 % higher than what has been previously estimated with the traditional system. The novel integrated microsystem appears therefore to be convenient for electrophysiological measurement on Xenopus oocytes, and displays features suitable for the study of fast kinetics phenomenon, but also high throughput screening applications. Résumé destiné large public : Le corps humain est composé d'organes, eux-mêmes constitués d'un très grand nombre de cellules. Chaque cellule possède une paroi appelée membrane cellulaire qui sépare l'intérieur de cette cellule (milieu intracellulaire) du liquide (milieu extracellulaire) dans lequel elle baigne. Le maintien de la composition stable de ce milieu extracellulaire est essentiel pour la survie des cellules et donc de l'organisme. Le sodium est un des composants majeurs du milieu extracellulaire, sa quantité dans celui-ci doit être particulièrement contrôlée. Le sodium joue en effet un rôle important : il conditionne le volume de ce liquide extracellulaire, donc, par la même, du sang. Ainsi, une grande quantité de sodium présente dans ce milieu va de paire avec une augmentation du volume sanguin, ce qui conduit l'organisme à souffrir d'hypertension. On se rend donc compte qu'il est très important de contrôler la quantité de sodium présente dans les différents liquides de l'organisme. Les apports de sodium dans l'organisme se font par l'alimentation, mais la quantité de sodium présente dans le liquide extracellulaire est contrôlée de manière très précise par le rein. Au niveau de cet organe, on appelle urine primaire le liquide résultant de la filtration du sang. Elle contient de nombreuses substances, des petites molécules, dont l'organisme a besoin (sodium, glucose...), qui sont ensuite récupérées dans l'organe. A la sortie du rein, l'urine finale ne contient plus que l'excédent de ces substances, ainsi que des déchets à éliminer. La récupération du sodium est plus ou moins importante, en fonction des ajustements à apporter à la quantité présente dans le liquide extracellulaire. Elle a lieu grâce à la présence de protéines, dans les membranes des cellules du rein, capables de le transporter et de le faire transiter de l'urine primaire vers le liquide extracellulaire, qui assurera ensuite sa distribution dans l'ensemble de l'organisme. Parmi ces protéines « transporteurs de sodium », nous nous intéressons à une protéine en particulier, appelée ENaC. Il a été montré qu'elle jouait un rôle important dans cette récupération de sodium, elle est en effet impliquée dans des maladies génétiques conduisant à l'hypo- ou à l'hypertension. De précédents travaux ont montré que lorsque le sodium est présent en faible quantité dans l'urine primaire, cette protéine permet d'en récupérer une très grande partie. A l'inverse, lorsque cette quantité de sodium dans l'urine primaire est importante, sa récupération par le biais d'ENaC est réduite. On parle alors d'autorégulation : la protéine elle-même est capable d'adapter son activité de transport en fonction des conditions. Ce phénomène d'autorégulation constitue a priori un mécanisme préventif visant à éviter une trop grande récupération de sodium, limitant ainsi les risques d'hypertension. La première partie de ce travail de thèse a ainsi consisté à clarifier le mécanisme d'autorégulation de la protéine ENaC. Ce phénomène se caractérise en particulier par sa grande vitesse, ce qui le rend difficile à étudier par les méthodes traditionnelles. Nous avons donc, dans une deuxième partie, développé un nouveau système permettant de mieux décrire et analyser cette « autorégulation » d'ENaC. Ce second projet a été mené en collaboration avec l'équipe de Martin Gijs de l'EPFL.

Relaxivity of Gd-based contrast agents on X nuclei with long intrinsic relaxation times in aqueous solutions.

The relaxivity of commercially available gadolinium (Gd)-based contrast agents was studied for X-nuclei resonances with long intrinsic relaxation times ranging from 6 s to several hundred seconds. Omniscan in pure 13C formic acid had a relaxivity of 2.9 mM(-1) s(-1), whereas its relaxivity on glutamate C1 and C5 in aqueous solution was approximately 0.5 mM(-1) s(-1). Both relaxivities allow the preparation of solutions with a predetermined short T1 and suggest that in vitro substantial sensitivity gains in their measurement can be achieved. 6Li has a long intrinsic relaxation time, on the order of several minutes, which was strongly affected by the contrast agents. Relaxivity ranged from approximately 0.1 mM(-1) s(-1) for Omniscan to 0.3 for Magnevist, whereas the relaxivity of Gd-DOTP was at 11 mM(-1) s(-1), which is two orders of magnitude higher. Overall, these experiments suggest that the presence of 0.1- to 10-microM contrast agents should be detectable, provided sufficient sensitivity is available, such as that afforded by hyperpolarization, recently introduced to in vivo imaging.