A critical analysis of dimensions and curve fitting practice in economics

When dealing with sustainability we are concerned with the biophysical as well as the monetary aspects of economic and ecological interactions. This multidimensional approach requires that special attention is given to dimensional issues in relation to curve fitting practice in economics. Unfortunately, many empirical and theoretical studies in economics, as well as in ecological economics, apply dimensional numbers in exponential or logarithmic functions. We show that it is an analytical error to put a dimensional unit x into exponential functions ( a x ) and logarithmic functions ( x a log ). Secondly, we investigate the conditions of data sets under which a particular logarithmic specification is superior to the usual regression specification. This analysis shows that logarithmic specification superiority in terms of least square norm is heavily dependent on the available data set. The last section deals with economists’ “curve fitting fetishism”. We propose that a distinction be made between curve fitting over past observations and the development of a theoretical or empirical law capable of maintaining its fitting power for any future observations. Finally we conclude this paper with several epistemological issues in relation to dimensions and curve fitting practice in economics

Locally univalent functions, VMOA, and the Dirichlet space

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Effector functions of eosinophils in schistosomiasis

The dual function of eosinophils is clearly illustred in schistosomiasis. Well equipped in membrane receptors for immunoglobulins and complement, and due to the presence of granule basic proteins, eosinophils can become cytotoxic for parasite larvae and thus participate to protective immunity. However mediators can also exert their cytolytic effect on normal cells or tissues, inducing therefore pathology. Through ADCC mechanisms against schistosome larvae in vitro involving different antibody isotypes (IgG, IgE and IgA) and also in experiments performed in vivo, eosinophils have been clearly involved in protective immunity. Although no direct evidence of the protective role of eosinophils were brought in humans, the striking association of eosinophil-dependent cytotoxic antibody isotypes with resistance to reinfection (for instance IgE and IgA antibodies), whereas in vitro blocking antibody isotypes (IgG4, IgM) were detected in susceptible subjects, strongly, suggested the participation of eosinophils in antibody-dependent protective immune response. However eosinophils could also participate to granuloma formation around S. mansoni eggs and consequently to the pathological reactions induced by schistosomiasis.

Fast screening and confirmation of doping agents by UHPLC-QTOF-MS/MS

Introduction: The general strategy to perform anti-doping analysis starts with a screening followed by a confirmatory step when a sample is suspected to be positive. The screening step should be fast, generic and able to highlight any sample that may contain a prohibited substance by avoiding false negative and reducing false positive results. The confirmatory step is a dedicated procedure comprising a selective sample preparation and detection mode. Aim: The purpose of the study is to develop rapid screening and selective confirmatory strategies to detect and identify 103 doping agents in urine. Methods: For the screening, urine samples were simply diluted by a factor 2 with ultra-pure water and directly injected ("dilute and shoot") in the ultrahigh- pressure liquid chromatography (UHPLC). The UHPLC separation was performed in two gradients (ESI positive and negative) from 5/95 to 95/5% of MeCN/Water containing 0.1% formic acid. The gradient analysis time is 9 min including 3 min reequilibration. Analytes detection was performed in full scan mode on a quadrupole time-of-flight (QTOF) mass spectrometer by acquiring the exact mass of the protonated (ESI positive) or deprotonated (ESI negative) molecular ion. For the confirmatory analysis, urine samples were extracted on SPE 96-well plate with mixed-mode cation (MCX) for basic and neutral compounds or anion exchange (MAX) sorbents for acidic molecules. The analytes were eluted in 3 min (including 1.5 min reequilibration) with a S1-25 Ann Toxicol Anal. 2009; 21(S1) Abstracts gradient from 5/95 to 95/5% of MeCN/Water containing 0.1% formic acid. Analytes confirmation was performed in MS and MS/MS mode on a QTOF mass spectrometer. Results: In the screening and confirmatory analysis, basic and neutral analytes were analysed in the positive ESI mode, whereas acidic compounds were analysed in the negative mode. The analyte identification was based on retention time (tR) and exact mass measurement. "Dilute and shoot" was used as a generic sample treatment in the screening procedure, but matrix effect (e.g., ion suppression) cannot be avoided. However, the sensitivity was sufficient for all analytes to reach the minimal required performance limit (MRPL) required by the World Anti Doping Agency (WADA). To avoid time-consuming confirmatory analysis of false positive samples, a pre-confirmatory step was added. It consists of the sample re-injection, the acquisition of MS/MS spectra and the comparison to reference material. For the confirmatory analysis, urine samples were extracted by SPE allowing a pre-concentration of the analyte. A fast chromatographic separation was developed as a single analyte has to be confirmed. A dedicated QTOF-MS and MS/MS acquisition was performed to acquire within the same run a parallel scanning of two functions. Low collision energy was applied in the first channel to obtain the protonated molecular ion (QTOF-MS), while dedicated collision energy was set in the second channel to obtain fragmented ions (QTOF-MS/MS). Enough identification points were obtained to compare the spectra with reference material and negative urine sample. Finally, the entire process was validated and matrix effects quantified. Conclusion: Thanks to the coupling of UHPLC with the QTOF mass spectrometer, high tR repeatability, sensitivity, mass accuracy and mass resolution over a broad mass range were obtained. The method was sensitive, robust and reliable enough to detect and identify doping agents in urine. Keywords: screening, confirmatory analysis, UHPLC, QTOF, doping agents

Inversion of analytic characteristic functions and infinite convolutions of exponential and Laplace densities

This paper shows that certain quotients of entire functions are characteristic functions. Under some conditions, we provide expressions for the densities of such characteristic functions which turn out to be generalized Dirichlet series which in turn can be expressed as an infinite linear combination of exponential or Laplace densities. We apply these results to several examples.

On Strategy-proofness and symmetric single-peakedness

We characterize the class of strategy-proof social choice functions on the domain of symmetric single-peaked preferences. This class is strictly larger than the set of generalized median voter schemes (the class of strategy-proof and tops-only social choice functions on the domain of single-peaked preferences characterized by Moulin (1980)) since, under the domain of symmetric single-peaked preferences, generalized median voter schemes can be disturbed by discontinuity points and remain strategy-proof on the smaller domain. Our result identifies the specific nature of these discontinuities which allow to design non-onto social choice functions to deal with feasibility constraints.

On Cooperative solutions of a generalized assignment game: limit theorems to the set of competitive equilibria

We study two cooperative solutions of a market with indivisible goods modeled as a generalized assignment game: Set-wise stability and Core. We first establish that the Set-wise stable set is contained in the Core and it contains the non-empty set of competitive equilibrium payoffs. We then state and prove three limit results for replicated markets. First, the sequence of Cores of replicated markets converges to the set of competitive equilibrium payoffs when the number of replicas tends to infinity. Second, the Set-wise stable set of a two-fold replicated market already coincides with the set of competitive equilibrium payoffs. Third, for any number of replicas there is a market with a Core payoff that is not a competitive equilibrium payoff.

Weighted norm inequalities for Fourier transforms of radial functions

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Notch1 functions as a tumor suppressor in mouse skin.

Notch proteins are important in binary cell-fate decisions and inhibiting differentiation in many developmental systems, and aberrant Notch signaling is associated with tumorigenesis. The role of Notch signaling in mammalian skin is less well characterized and is mainly based on in vitro studies, which suggest that Notch signaling induces differentiation in mammalian skin. Conventional gene targeting is not applicable to establishing the role of Notch receptors or ligands in the skin because Notch1-/- embryos die during gestation. Therefore, we used a tissue-specific inducible gene-targeting approach to study the physiological role of the Notch1 receptor in the mouse epidermis and the corneal epithelium of adult mice. Unexpectedly, ablation of Notch1 results in epidermal and corneal hyperplasia followed by the development of skin tumors and facilitated chemical-induced skin carcinogenesis. Notch1 deficiency in skin and in primary keratinocytes results in increased and sustained expression of Gli2, causing the development of basal-cell carcinoma-like tumors. Furthermore, Notch1 inactivation in the epidermis results in derepressed beta-catenin signaling in cells that should normally undergo differentiation. Enhanced beta-catenin signaling can be reversed by re-introduction of a dominant active form of the Notch1 receptor. This leads to a reduction in the signaling-competent pool of beta-catenin, indicating that Notch1 can inhibit beta-catenin-mediated signaling. Our results indicate that Notch1 functions as a tumor-suppressor gene in mammalian skin.

EU cohesion aid to Spain: a data set. Part I: 2000-06 planning period

In this paper we construct a data set on EU cohesion aid to Spain during the planning period 2000-06. The data are disaggregated by region, year and function and attempt to approximate the timing of actual executed expenditure on assisted projects.

Understanding the low-temperature limitations to forest growth through calibration of a forest dynamics model with tree-ring data

The sensitivity of altitudinal and latitudinal tree-line ecotones to climate change, particularly that of temperature, has received much attention. To improve our understanding of the factors affecting tree-line position, we used the spatially explicit dynamic forest model TreeMig. Although well-suited because of its landscape dynamics functions, TreeMig features a parabolic temperature growth response curve, which has recently been questioned. and the species parameters are not specifically calibrated for cold temperatures. Our main goals were to improve the theoretical basis of the temperature growth response curve in the model and develop a method for deriving that curve's parameters from tree-ring data. We replaced the parabola with an asymptotic curve, calibrated for the main species at the subalpine (Swiss Alps: Pinus cembra, Larix decidua, Picea abies) and boreal (Fennoscandia: Pinus sylvestris, Betula pubescens, P. abies) tree-lines. After fitting new parameters, the growth curve matched observed tree-ring widths better. For the subalpine species, the minimum degree-day sum allowing, growth (kDDMin) was lowered by around 100 degree-days; in the case of Larix, the maximum potential ring-width was increased to 5.19 mm. At the boreal tree-line, the kDDMin for P. sylvestris was lowered by 210 degree-days and its maximum ring-width increased to 2.943 mm; for Betula (new in the model) kDDMin was set to 325 degree-days and the maximum ring-width to 2.51 mm; the values from the only boreal sample site for Picea were similar to the subalpine ones, so the same parameters were used. However, adjusting the growth response alone did not improve the model's output concerning species' distributions and their relative importance at tree-line. Minimum winter temperature (MinWiT, mean of the coldest winter month), which controls seedling establishment in TreeMig, proved more important for determining distribution. Picea, P. sylvestris and Betula did not previously have minimum winter temperature limits, so these values were set to the 95th percentile of each species' coldest MinWiT site (respectively -7, -11, -13). In a case study for the Alps, the original and newly calibrated versions of TreeMig were compared with biomass data from the National Forest Inventor), (NFI). Both models gave similar, reasonably realistic results. In conclusion, this method of deriving temperature responses from tree-rings works well. However, regeneration and its underlying factors seem more important for controlling species' distributions than previously thought. More research on regeneration ecology, especially at the upper limit of forests. is needed to improve predictions of tree-line responses to climate change further.

Peroxisome proliferator-activated receptors: insight into multiple cellular functions.

Peroxisome proliferator-activated receptors, PPARs, (NR1C) are nuclear hormone receptors implicated in energy homeostasis. Upon activation, these ligand-inducible transcription factors stimulate gene expression by binding to the promoter of target genes. The different structural domains of PPARs are presented in terms of activation mechanisms, namely ligand binding, phosphorylation, and cofactor interaction. The specificity of ligands, such as fatty acids, eicosanoids, fibrates and thiazolidinediones (TZD), is described for each of the three PPAR isotypes, alpha (NR1C1), beta (NR1C2) and gamma (NR1C3), so as the differential tissue distribution of these isotypes. Finally, general and specific functions of the PPAR isotypes are discussed, namely their implication in the control of inflammatory responses, cell proliferation and differentiation, the roles of PPARalpha in fatty acid catabolism and of PPARgamma in adipogenesis.

The contribution of aging to the understanding of the dimensionality of executive functions.

It has been reported in the literature that executive functions may be fractioned into updating, shifting, and inhibition. The present study aimed to explore whether these executive sub-components can be identified in a more age-heterogeneous sample and see if they are prone to an age-related decline. We tested the performances of 81 individuals aged from 18 to 88 years old in each executive sub-component, working memory, fluid intelligence and processing speed. Correlation analysis revealed only a slight positive relationship between the two updating measures. A linear decrement with age was observed only for two complex executive tests. Tasks indexing working memory, processing speed and fluid intelligence showed a stronger linear decline with age than executive tasks. In conclusion, our results did not replicate the executive structure known from the literature, and revealed that decrement in executive function is not an unavoidable concomitant of aging but rather concerns specific executive tasks.

Agent based simulation to optimise emergency departments

Nowadays, many of the health care systems are large and complex environments and quite dynamic, specifically Emergency Departments, EDs. It is opened and working 24 hours per day throughout the year with limited resources, whereas it is overcrowded. Thus, is mandatory to simulate EDs to improve qualitatively and quantitatively their performance. This improvement can be achieved modelling and simulating EDs using Agent-Based Model, ABM and optimising many different staff scenarios. This work optimises the staff configuration of an ED. In order to do optimisation, objective functions to minimise or maximise have to be set. One of those objective functions is to find the best or optimum staff configuration that minimise patient waiting time. The staff configuration comprises: doctors, triage nurses, and admissions, the amount and sort of them. Staff configuration is a combinatorial problem, that can take a lot of time to be solved. HPC is used to run the experiments, and encouraging results were obtained. However, even with the basic ED used in this work the search space is very large, thus, when the problem size increases, it is going to need more resources of processing in order to obtain results in an acceptable time.

Dibenzofuran degradation by Sphingomonas wittichii RW1 under environmental stresses

Sphingomonas wittichii is a gram-negative Alpha-proteobacterium, capable of degrading xenobiotic compounds such as dibenzofuran (DBF), dibenzo-p-dioxin, carbazole, 2-hydroxybiphenyl or nitro diphenyl ether herbicides. The metabolism of strain RW1 has been the subject of previous studies and a number of genes involved in DBF degradation have been characterized. It is known that RW1 posseses a unique initial DBF dioxygenase (encoded by the dxnAl gene) that catalyzes the first step in the degradation pathway. None of the organisms known to be able to degrade DBF have a similar dioxygenase, the closest match being the DBF dioxygenase from Rhodococcus sp. with an overall amino acid similarity of 45%. Genes participating in the conversion of the metabolite salicylate via the ortho-cleavage pathway to TCA cycle intermediates were identified as well. Apart from this scarce information, however, there is a lack of global knowledge on the genes that are involved in DBF degradation by strain RW1 and the influence of environmental stresses on DBF-dependent global gene expression. A global analysis is necessary, because it may help to better understand the behaviour of the strain under field conditions and suggest improvements for the current bioaugmentation practice. Chapter 2 describes the results of whole-genome analysis to characterize the genes involved in DBF degradation by RW1. Micro-array analysis allowed us to detect differences in gene transcription when strain RW1 was exposed to DBF. This was complemented by ultra-high throughput sequencing of mutants no longer capable of growing on salicylate and DBF. Some of the genes of the ortho-cleavage pathway were induced 2 to 4 times in the presence of DBF, as well as the initial DBF dioxygenase. However two gene clusters, named 4925 and 5102 were induced up to 19 times in response to DBF induction. The cluster 4925 is putatively participating in a meta-cleavage pathway while the cluster 5102 might be part of a gentisate pathway. The three pathways, ortho-cleavage, meta-cleavage and gentisate pathway seem to be active in parallel when strain RW1 is exposed to DBF, presenting evidence for a redundancy of genes for DBF degradation in the genome of RW1. Chapter 3 focuses on exploiting genetic tools to construct bioreporters representative for DBF degradation in RW1. A set of basic tools for genetic manipulation in Sphingomonas wittichii RW1 was tested and optimized. Both plasmids and mini-transposons were evaluated for their ability to be maintained in RW1 with or without antibiotic selection pressure, and for their ability to lead to fluorescent protein expression in strain RW1 from a constitutive promoter. Putative promoter regions of three of the previously found DBF-induced genes (Swit_4925, Swit_5102 and Swit_4897-dxnAl) were then used to construct eg/^-bioreporters in RW1. Chapter 4 describes the use of the constructed RW1-based bioreporter strains for examining the expression of the DBF degradation pathway genes under microcosm conditions. The bioreporter strains were first exposed to different carbon sources in liquid culture to calibrate the egfp induction. Contrary to our expectations from micro-array analysis only the construct with the promoter from gene cluster 4925 responded to DBF, whereas the other two constructs did not show specific induction with DBF. The response from the bioreporters was subsequently tested for sensitivity to water stress, given that this could have an important impact in soils. Exposure to liquid cultures with decreasing water potential, achieved by NaCl or PEG addition to the growth media, showed that eGFP expression in RW1 from the promoter regions 4925 and 5102 was not directly influenced by water stress, but only through an overall reduction in growth rate. In contrast, expression of eGFP from the dxnAl or an uspA promoter was also directly dependent on the extent of water stress. The RW1 with the 4925 construct was subsequently used in soil microcosms to evaluate DBF bioavailability to the cells in presence or absence of native microbiota or other contaminated material. We found that RW1 could grow on DBF added to soil, but bioreporter expression suggested that competition with native microbiota for DBF intermediates may limit its ability to proliferate to a maximum. Chapter 5 describes the results from the experiments carried out to more specifically detect genes of RW1 that might be implicated in water stress resistance. Hereto we created transposon mutagenesis libraries in RW1, either with a classical mini-Tn5 or with a variant that would express egfp when the transposon would insert in a gene induced under water stress. Classical mutant libraries were screened by replica plating under high and low water stress conditions (achieved by adding NaCl to the agar medium). In addition, we screened for smaller microcolonies formed by mutants in agarose beads that could be analized with flow cytometry. A number of mutants impaired to grow on NaCl-supplemented media were recovered and the transposon insertion sites sequenced. In a second procedure we screened by flow cytometry for mutants with a higher eGFP production after exposure to growth medium with higher NaCl concentrations. Mutants from both libraries rarely overlapped. Discovered gene functions of the transposon insertions pointed to compatible solute synthesis (glutamate and proline), cell membrane synthesis and modification of cell membrane composition. The results obtained in the present study give us a more complete picture of the mechanisms of DBF degradation by S. wittichii RW1, how it reacts to different DBF availability and how the DBF catabolic activity may be affected by the conditions found in contaminated environments. - Sphingomonas wittichii est une alpha-protéobactérie gram-négative, capable de dégrader des composés xénobiotiques tels que le dibenzofurane (DBF), la dibenzo-p-dioxine, le carbazole, le 2-hydroxybiphényle ou les herbicides dérivés du nitro-diphényléther. Le métabolisme de la souche RW1 a fait l'objet d'études antérieures et un certain nombre de gènes impliqués dans la dégradation du DBF ont été caractérisés. Il est connu que RW1 possède une unique dioxygénase DBF initiale (codée par le gène dxnAl) qui catalyse la première étape de la voie de dégradation. Aucun des organismes connus pour être capables de dégrader le DBF n'a de dioxygénase similaire. L'enzyme la plus proche étant la DBF dioxygénase de Rhodococcus sp. avec 45% d'acides aminés conservés. Les gènes qui participent à la transformation du salicylate en métabolites intermédiaires du cycle de Krebs par la voie ort/io-cleavage ont aussi été identifiés. Outre ces informations lacunaires, il y a un manque de connaissances sur l'ensemble des gènes impliqués dans la dégradation du DBF par la souche RW1 ainsi que l'effet des stress environnementaux sur l'expression génétique globale, en présence du DBF. Une analyse globale est nécessaire, car elle peut aider à mieux comprendre le comportement de la souche dans les conditions de terrain et de proposer des améliorations pour l'utilisation de la bio-augmentation comme technique de bio-remédiation. Le chapitre 2 décrit les résultats de l'analyse du génome pour caractériser les gènes impliqués dans la dégradation du DBF par RW1. Une analyse de micro-arrays nous a permis de détecter des différences dans la transcription des gènes lorsque la souche RW1 a été exposée au DBF. L'analyse a été complétée par le criblage à ultra-haut débit de mutants qui n'étaient plus capables de croître avec le salicylate ou le DBF comme seule source de carbone. Certains des gènes de la voie ortho-cleavage, dont la DBF dioxygénase initiale, ont xî été induits 2 à 4 fois, en présence du DBF. Cependant, deux groupes de gènes, nommés 4925 et 5102 ont été induits jusqu'à 19 fois en réponse au DBF. Le cluster 4925 participe probablement dans une voie de meta-cleavage tandis que le cluster 5102 pourrait faire partie d'une voie du gentisate. Les trois voies, ortho-cleavage, meta-cleavage et la voie du gentisate semblent être activées en parallèle lorsque la souche RW1 est exposée au DBF, ce qui représente une redondance de voies pour la dégradation du DBF dans le génome de RW1. Le chapitre 3 se concentre sur l'exploitation des outils génétiques pour la construction de biorapporteurs de la dégradation du DBF par RW1. Un ensemble d'outils de base pour la manipulation génétique dans Sphingomonas wittichii RW1 a été testé et optimisé. Deux plasmides et mini-transposons ont été évalués pour leur capacité à être maintenu dans RW1 avec ou sans pression de sélection par des antibiotiques, et pour leur capacité à exprimer la protéine fluorescente verte (eGFP) dans la souche RW1. Les trois promoteurs des gènes Swit_4925, Swit_5102 et Swit_4897 (dxnAl), induits en réponse au DBF, ont ensuite été utilisés pour construire des biorapporteurs dans RW1. Le chapitre 4 décrit l'utilisation des souches biorapportrices construites pour l'analyse de l'expression des gènes de la voie de dégradation du DBF dans des microcosmes avec différents types de sols. Les souches biorapportrices ont d'abord été exposées à différentes sources de carbone en cultures liquides afin de calibrer l'induction de la eGFP. La construction avec le promoteur du gène 4925 a permis une réponse au DBF. Mais contrairement à nos attentes, basées sur les résultats de l'analyse des micro-arrays, les deux autres constructions n'ont pas montré d'induction spécifique au DBF. La réponse des biorapporteurs a ensuite été testée pour la sensibilité au stress hydrique, étant donné que cela pourrait avoir un impact important dans les microcosmes. La diminution du potentiel hydrique en culture liquide est obtenue par addition de NaCl ou de PEG au milieu de croissance. Nous avons montré que l'expression de la eGFP contrôlée par les promoteurs 4925 et 5102 n'était pas directement influencée par le stress hydrique, mais seulement par une réduction globale des taux de croissance. En revanche, l'expression de la eGFP dépendante des promoteurs dxnAl et uspA était aussi directement dépendante de l'ampleur du stress hydrique. La souche avec la construction 4925 a été utilisée par la suite dans des microcosmes avec différents types de sols pour évaluer la biodisponibilité du DBF en présence ou absence des microbes indigènes et d'autres composés contaminants. Nous avons constaté que RW1 pouvait se développer si le DBF a été ajouté au sol, mais l'expression de la eGFP par le biorapporteur suggère que la compétition avec la microbiota indigène pour les métabolites intermédiaires du DBF peut limiter sa capacité à proliférer de manière optimale. Le chapitre 5 décrit les résultats des expériences réalisées afin de détecter spécifiquement les gènes de RW1 qui pourraient être impliquées dans la résistance au stress hydrique. Ici on a crée des bibliothèques de mutants de RW1 par transposon, soit avec un mini-Tn5 classique ou avec une variante qui exprime la eGFP lorsque le transposon s'insère dans un gène induit par le stress hydrique. Les bibliothèques de mutants ont été criblées par la méthode classique de repiquage sur boîtes, dans des conditions de stress hydrique élevé (obtenu par l'addition de NaCl dans les boîtes). En outre, nous avons criblé des micro¬colonies dans des billes d'agarose qui ont pu être analysées par cytométrie de flux. Un certain nombre de mutants déficients à croître sur des milieux supplémentés avec du NaCl ont été isolés et les sites d'insertion du transposon séquencés. Dans une deuxième procédure nous avons criblé par cytométrie de flux des mutants avec une production de eGFP supérieure, après exposition à un milieu de croissance avec une concentration élevée de NaCl. Les mutants obtenus dans les deux bibliothèques n'étaient pas similaires. Les fonctions des gènes où se trouvent les insertions de transposons sont impliqués dans la synthèse de solutés compatibles (glutamate et de la proline), dans la synthèse de la membrane cellulaire et dans la modification de la composition de la membrane cellulaire. Les résultats obtenus dans la présente étude nous donnent une image plus complète des mécanismes de dégradation du DBF par S. wittichii RW1, comment cette souche réagit à la disponibilité du DBF et comment l'activité catabolique peut être affectée par les conditions rencontrées dans des environnements contaminés.