911 resultados para games in partition function form
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According to most political scientists and commentators, direct democracy seems to weaken political parties. Our empirical analysis in the 26 Swiss cantons shows that this thesis in its general form cannot be maintained. Political parties in cantons with extensive use of referendums and initiatives are not in all respects weaker than parties in cantons with little use of direct democratic means of participation. On the contrary, direct democracy goes together with more professional and formalized party organizations. Use of direct democracy is associated with more fragmented and volatile party systems, and with greater support for small parties, but causal interpretations of these relationships are difficult.
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Inositol and its phosphorylated derivatives play a major role in brain function, either as osmolytes, second messengers or regulators of vesicle endo- and exocytosis. Here we describe the identification and functional characterization of a novel H(+)-myo- inositol co-transporter, HMIT, expressed predominantly in the brain. HMIT cDNA encodes a 618 amino acid polypeptide with 12 predicted transmembrane domains. Functional expression of HMIT in Xenopus oocytes showed that transport activity was specific for myo-inositol and related stereoisomers with a Michaelis-Menten constant of approximately 100 microM, and that transport activity was strongly stimulated by decreasing pH. Electrophysiological measurements revealed that transport was electrogenic with a maximal transport activity reached at pH 5.0. In rat brain membrane preparations, HMIT appeared as a 75-90 kDa protein that could be converted to a 67 kDa band upon enzymatic deglycosylation. Immunofluorescence microscopy analysis showed HMIT expression in glial cells and some neurons. These data provide the first characterization of a mammalian H(+)-coupled myo- inositol transporter. Predominant central expression of HMIT suggests that it has a key role in the control of myo-inositol brain metabolism.
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Asbestos is an industrial term to describe some fibrous silicate minerals, which belong to the amphiboles or serpentines group. Six minerals are defined as asbestos including: chrysotile (white asbestos), amosite (grunerite, brown asbestos), crocidolite (riebeckite, blue asbestos), anthophyllite, tremolite and actonolite, but only in their fibrous form. In 1973, the IARC (International Agency for Research on Cancer) classified the asbestos minerals as carcinogenic substances (IARC,1973). The Swiss threshold limit (VME) is 0.01 fibre/ml (SUVA, 2007). Asbestos in Switzerland has been prohibited since 1990, but this doesn't mean we are over asbestos. Up to 20'000 tonnes/year of asbestos was imported between the end of WWII and 1990. Today, all this asbestos is still present in buildings renovated or built during that period of time. During restorations, asbestos fibres can be emitted into the air. The quantification of the emission has to be evaluated accurately. To define the exact risk on workers or on the population is quite hard, as many factors must be considered. The methods to detect asbestos in the air or in materials are still being discussed today. Even though the EPA 600 method (EPA, 1993) has proved itself for the analysis of bulk materials, the method for air analysis is more problematic. In Switzerland, the recommended method is VDI 3492 using a scanning electron microscopy (SEM), but we have encountered many identifications problems with this method. For instance, overloaded filters or long-term exposed filters cannot be analysed. This is why the Institute for Work and Health (IST) has adapted the ISO10312 method: ambient air - determination of asbestos fibres - direct-transfer transmission electron microscopy (TEM) method (ISO, 1995). Quality controls have already be done at a French institute (INRS), which validate our practical experiences. The direct-transfer from MEC's filters on TEM's supports (grids) is a delicate part of the preparation for analysis and requires a lot of trials in the laboratory. IST managed to do proper grid preparations after about two years of development. In addition to the preparation of samples, the micro-analysis (EDX), the micro-diffraction and the morphologic analysis (figure 1.a-c) are also to be mastered. Theses are the three elements, which prove the different features of asbestos identification. The SEM isn't able to associate those three analyses. The TEM is also able to make the difference between artificial and natural fibres that have very similar chemical compositions as well as differentiate types of asbestos. Finally the experiments concluded by IST show that TEM is the best method to quantify and identify asbestos in the air.
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Understanding the magnitude of B mobility in eucalyptus may help to select clones that are more efficient for B use and to design new practices of B fertilization. This study consisted of five experiments with three eucalyptus clones (129, 57 and 58) where the response to and mobility of B were evaluated. Results indicated that clone 129 was less sensitive to B deficiency than clones 68 and 57, apparently due to its ability to translocate B previously absorbed via root systems to younger tissues when B in solution became limiting. Translocation also occurred when B was applied as boric acid only once to a single mature leaf, resulting in higher B concentration in roots, stems and younger leaves. The growth of B-deficient plants was also recovere by a single foliar application of B to a mature leaf. This mobility was greater, when foliar-applied B was supplied in complexed (boric acid + manitol) than in non-complexed form (boric acid alone). When the root system of clone 129 was split in two solution compartments, B supplied to one root compartment was translocated to the shoot and back to the roots in the other compartment, improving the B status and growth. Thus, it appears that B is relatively mobile in eucalyptus, especially in clone 129, and its higher mobility could be due to the presence of an organic compound such as manitol, able to complex B.
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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.
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The SOS screen, as originally described by Perkins et al. (1999) [7], was setup with the aim of identifying Arabidopsis functions that might potentially be involved in the DNA metabolism. Such functions, when expressed in bacteria, are prone to disturb replication and thus trigger the SOS response. Consistently, expression of AtRAD51 and AtDMC1 induced the SOS response in bacteria, even affecting E. coli viability. 100 SOS-inducing cDNAs were isolated from a cDNA library constructed from an Arabidopsis cell suspension that was found to highly express meiotic genes. A large proportion of these SOS(+) candidates are clearly related to the DNA metabolism, others could be involved in the RNA metabolism, while the remaining cDNAs encode either totally unknown proteins or proteins that were considered as irrelevant. Seven SOS(+) candidate genes are induced following gamma irradiation. The in planta function of several of the SOS-inducing clones was investigated using T-DNA insertional mutants or RNA interference. Only one SOS(+) candidate, among those examined, exhibited a defined phenotype: silenced plants for DUT1 were sensitive to 5-fluoro-uracil (5FU), as is the case of the leaky dut-1 mutant in E. coli that are affected in dUTPase activity. dUTPase is essential to prevent uracil incorporation in the course of DNA replication.
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Glial fibrillary acidic protein, GFAP, is a major intermediate filament protein of glial cells and major cytoskeletal structure in astrocytes. The entorhinal cortex has a key role in memory function and is one of the first brain areas to reveal hallmark structures of Alzheimer's disease and therefore provides an ideal tissue to investigate incipient neurodegenerative changes. Here we have analyzed age- and disease-related occurrence and composition of GFAP in the human entorhinal cortex by using one- and two-dimensional electrophoresis, Western blots and immunocytochemistry combined with confocal microscopy. A novel monoclonal antibody, GF-02, was characterized that mainly reacted with intact GFAP molecules and indicated that more acidic and soluble GFAP forms were also more susceptible to degradation. GFAP and vimentin increased with aging and in Alzheimer's disease (AD). Two-dimensional electrophoresis and Western blots revealed a complex GFAP pattern, both in aging and AD with different modification and degradation forms. Immunohistochemistry indicated that reactive astrocytes mainly accumulated in relation to neurofibrillary tangles and senile plaques in deeper entorhinal cortex layers. GFAP may be used as an additional but not exclusive diagnostic tool in the evaluation of neurodegenerative diseases because its levels change with age and respond to senile plaque and tangle formation.
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This article describes the physiologic and neural mechanisms that cause neuromuscular fatigue in racquet sports: table tennis, tennis, squash, and badminton. In these intermittent and dual activities, performance may be limited as a match progresses because of a reduced central activation, linked to changes in neurotransmitter concentration or in response to afferent sensory feedback. Alternatively, modulation of spinal loop properties may occur because of changes in metabolic or mechanical properties within the muscle. Finally, increased fatigue manifested by mistimed strokes, lower speed, and altered on-court movements may be caused by ionic disturbances and impairments in excitation-contraction coupling properties. These alterations in neuromuscular function contribute to decrease in racquet sports performance observed under fatigue.
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ABSTRACTIn normal tissues, a balance between pro- and anti-angiogenic factors tightly controls angiogenesis. Alterations of this balance may have pathological consequences. For instance, concerning the retina, the vascular endothelial growth factor (VEGF) is a potent pro-angiogenic factor, and has been identified has a key player during ocular neovascularization implicated in a variety of retinal diseases. In the exudative form (wet-form) of age-related macular degeneration (AMD), neovascularizations occurring from the choroidal vessels are responsible for a quick and dramatic loss of visual acuity. In diabetic retinopathy and retinopathy of prematurity, sprouting from the retinal vessels leads to vision loss. Furthermore, the aging of the population, the increased- prevalence of diabetes and the better survival rate of premature infants will lead to an increasing rate of these conditions. In this way, anti-VEGF strategy represents an important therapeutic target to treat ocular neovascular disorders.In addition, the administration of Pigmented Epithelial growth factor, a neurotrophic and an anti- angiogenic factor, prevents photoreceptor cell death in a model of retinal degeneration induced by light. Previous results analyzing end point morphology reveal that the light damage (LD) model is used to mimic retinal degenerations arising from environmental insult, as well as aging and genetic disease such as advanced atrophic AMD. Moreover, light has been identified as a co-factor in a number of retinal diseases, speeding up the degeneration process. This protecting effect of PEDF in the LD retina raises the possibility of involvement of the balance between pro- and anti-angiogenic factors not only for angiogenesis, but also in cell survival and maintenance.The aim of the work presented here was to evaluate the importance of this balance in neurodegenerative processes. To this aim, a model of light-induced retinal degeneration was used and characterized, mainly focusing on factors simultaneously controlling neuron survival and angiogenesis, such as PEDF and VEGF.In most species, prolonged intense light exposure can lead to photoreceptor cell damage that can progress to cell death and vision loss. A protocol previously described to induce retinal degeneration in Balb/c mice was used. Retinas were characterized at different time points after light injury through several methods at the functional and molecular levels. Data obtained confirmed that toxic level of light induce PR cell death. Variations were observed in VEGF pathway players in both the neural retina and the eye-cup containing the retinal pigment epithelium (RPE), suggesting a flux of VEGF from the RPE towards the neuroretina. Concomitantly, the integrity of the outer blood-retinal-barrier (BRB) was altered, leading to extravascular albumin leakage from the choroid throughout the photoreceptor layer.To evaluate the importance of VEGF during light-induced retinal degeneration process, a lentiviral vector encoding the cDNA of a single chain antibody directed against all VEGF-A isoforms was developed (LV-V65). The bioactivity of this vector to block VEGF was validated in a mouse model of laser-induced choroidal neovascularization mediated by VEGF upregulation. The vector was then used in the LD model. The administration of the LV-V65 contributed to the maintenance of functional photoreceptors, which was assessed by ERG recording, visual acuity measurement and histological analyses. At the RPE level, the BRB integrity was preserved as shown by the absence of albumin leakage and the maintenance of RPE cell cohesion.These results taken together indicate that the VEGF is a mediator of light induced PR degeneration process and confirm the crucial role of the balance between pro- and anti-angiogenic factors in the PR cell survival. This work also highlights the prime importance of BRB integrity and functional coupling between RPE and PR cells to maintain the PR survival. VEGF dysregulation was already shown to be involved in wet AMD forms and our study suggests that VEGF dysregulation may also occur at early stages of AMD and could thus be a potential therapeutic target for several RPE related diseases.RESUMEDans les différents tissues de l'organisme, l'angiogenèse est strictement contrôlée par une balance entre les facteurs pro- et anti-angiogéniques. Des modifications survenant dans cette balance peuvent engendrer des conséquences pathologiques. Par exemple, concernant la rétine, le facteur de croissance de l'endothélium vasculaire (VEGF) est un facteur pro-angiogénique important. Ce facteur a été identifié comme un acteur majeur dans les néovascularisations oculaires et les processus pathologiques angiogéniques survenant dans l'oeil et responsables d'une grande variété de maladies rétiniennes. Dans la forme humide de la dégénérescence maculaire liée à l'âge (DMLA), la néovascularisation choroïdienne est responsable de la perte rapide et brutale de l'acuité visuelle chez les patients affectés. Dans la rétinopathie diabétique et celle lié à la prématurité, l'émergence de néovaisseaux rétiniens est la cause de la perte de la vision. Les néovascularisations oculaires représentent la principale cause de cécité dans les pays développés. De plus, l'âge croissant de la population, la progression de la prévalence du diabète et la meilleure survie des enfants prématurés mèneront sans doute à l'augmentation de ces pathologies dans les années futures. Dans ces conditions, les thérapies anti- angiogéniques visant à inhiber le VEGF représentent une importante cible thérapeutique pour le traitement de ces pathologies.Plusieurs facteurs anti-angiogéniques ont été identifiés. Parmi eux, le facteur de l'épithélium pigmentaire (PEDF) est à la fois un facteur neuro-trophique et anti-angiogénique, et l'administration de ce facteur au niveau de la rétine dans un modèle de dégénérescence rétinienne induite par la lumière protège les photorécepteurs de la mort cellulaire. Des études antérieures basées sur l'analyse morphologique ont révélé que les modifications survenant lors de la dégénération induite suite à l'exposition à des doses toxiques de lumière représente un remarquable modèle pour l'étude des dégénérations rétiniennes suite à des lésions environnementales, à l'âge ou encore aux maladies génétiques telle que la forme atrophique avancée de la DMLA. De plus, la lumière a été identifiée comme un co-facteur impliqué dans un grand nombre de maladies rétiniennes, accélérant le processus de dégénération. L'effet protecteur du PEDF dans les rétines lésées suite à l'exposition de des doses toxiques de lumière suscite la possibilité que la balance entre les facteurs pro- et anti-angiogéniques soit impliquée non seulement dans les processus angiogéniques, mais également dans le maintient et la survie des cellules.Le but de ce projet consiste donc à évaluer l'implication de cette balance lors des processus neurodégénératifs. Pour cela, un modèle de dégénération induite par la lumière à été utilisé et caractérisé, avec un intérêt particulier pour les facteurs comme le PEDF et le VEGF contrôlant simultanément la survie des neurones et l'angiogenèse.Dans la plupart des espèces, l'exposition prolongée à une lumière intense peut provoquer des dommages au niveau des cellules photoréceptrices de l'oeil, qui peut mener à leur mort, et par conséquent à la perte de la vision. Un protocole préalablement décrit a été utilisé pour induire la dégénération rétinienne dans les souris albinos Balb/c. Les rétines ont été analysées à différents moments après la lésion par différentes techniques, aussi bien au niveau moléculaire que fonctionnel. Les résultats obtenus ont confirmé que des doses toxiques de lumière induisent la mort des photorécepteurs, mais altèrent également la voie de signalisation du VEGF, aussi bien dans la neuro-rétine que dans le reste de l'oeil, contenant l'épithélium pigmentaire (EP), et suggérant un flux de VEGF provenant de ΙΈΡ en direction de la neuro-rétine. Simultanément, il se produit une altération de l'intégrité de la barrière hémato-rétinienne externe, menant à la fuite de protéine telle que l'albumine, provenant de la choroïde et retrouvée dans les compartiments extravasculaires de la rétine, telle que dans la couche des photorécepteurs.Pour déterminer l'importance et le rôle du VEGF, un vecteur lentiviral codant pour un anticorps neutralisant dirigée contre tous les isoformes du VEGF a été développé (LV-V65). La bio-activité de ce vecteur a été testé et validée dans un modèle de laser, connu pour induire des néovascularisations choroïdiennes chez la souris suite à l'augmentation du VEGF. Ce vecteur a ensuite été utilisé dans le modèle de dégénération induite par la lumière. Les résultats des électrorétinogrammes, les mesures de l'acuité visuelle et les analyses histologiques ont montré que l'injection du LV-V65 contribue à la maintenance de photorécepteurs fonctionnels. Au niveau de l'EP, l'absence d'albumine et la maintenance des jonctions cellulaires des cellules de l'EP ont démontré que l'intégrité de la barrière hémato-rétinienne externe est préservée suite au traitement.Par conséquent, tous les résultats obtenus indiquent que le VEGF est un médiateur important impliquée dans le processus de dégénération induit par la lumière et confirme le rôle cruciale de la balance entre les facteurs pro- et anti-angiogéniques dans la survie des photorécepteurs. Cette étude révèle également l'importance de l'intégrité de la barrière hémato-rétinienne et l'importance du lien fonctionnel et structurel entre l'EP et les photorécepteurs, essentiel pour la survie de ces derniers. Par ailleurs, Cette étude suggère que des dérèglements au niveau de l'équilibre du VEGF ne sont pas seulement impliqués dans la forme humide de la DMLA, comme déjà démontré dans des études antérieures, mais pourraient également contribuer et survenir dans des formes précoces de la DMLA, et par conséquent le VEGF représente une cible thérapeutique potentielle pour les maladies associées à des anomalies au niveau de l'EP.
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Caprine and ovine IgA were identified by cross-reaction with anti-human and anti-bovine IgA sera in colostrum, mature milk, saliva, urine and serum. Secretory component (SC) was shown in the free form and associated with polymeric serum IgA in secretions. Mean molecular weights were determined for the IgA and the free secretory components. The high IgA content of saliva suggested that it was a major secretory immunoglobulin in these species. Traces of secretory IgA were also found in normal sera but most of the serum IgA had no secretory determinant. Secretory IgA, serum IgA and free secretory component were purified. Levels of the sheep and goat immunoglobulins were measured in various fluids.
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The graphical representation of spatial soil properties in a digital environment is complex because it requires a conversion of data collected in a discrete form onto a continuous surface. The objective of this study was to apply three-dimension techniques of interpolation and visualization on soil texture and fertility properties and establish relationships with pedogenetic factors and processes in a slope area. The GRASS Geographic Information System was used to generate three-dimensional models and ParaView software to visualize soil volumes. Samples of the A, AB, BA, and B horizons were collected in a regular 122-point grid in an area of 13 ha, in Pinhais, PR, in southern Brazil. Geoprocessing and graphic computing techniques were effective in identifying and delimiting soil volumes of distinct ranges of fertility properties confined within the soil matrix. Both three-dimensional interpolation and the visualization tool facilitated interpretation in a continuous space (volumes) of the cause-effect relationships between soil texture and fertility properties and pedological factors and processes, such as higher clay contents following the drainage lines of the area. The flattest part with more weathered soils (Oxisols) had the highest pH values and lower Al3+ concentrations. These techniques of data interpolation and visualization have great potential for use in diverse areas of soil science, such as identification of soil volumes occurring side-by-side but that exhibit different physical, chemical, and mineralogical conditions for plant root growth, and monitoring of plumes of organic and inorganic pollutants in soils and sediments, among other applications. The methodological details for interpolation and a three-dimensional view of soil data are presented here.
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Pancreatic ß cells are highly specialized endocrine cells located within the islets of Langerhans in the pancreas. Their main role is to produce and secrete insulin, the hormone essential for the regulation of glucose homeostasis and body's metabolism. Diabetes mellitus develops when the amount of insulin released by ß cells is not sufficient to cover the metabolic demand. In type 1 diabetes (5-10% of diagnoses) insulin deficiency is caused by the autoimmune destruction of pancreatic ß cells. Type 2 diabetes (90% of diagnoses) results from a genetic predisposition and from the presence of adverse environmental conditions. The combination of these factors reduces insulin sensitivity of peripheral target tissues, causes impairment in ß-cell function and can lead to partial loss of ß cells. The development of novel therapeutic strategies for the treatment of diabetes necessitates the comprehension of the cellular processes involved in dysfunction and loss of ß cells. My thesis was focused on the involvement in the physiopathological processes leading to the development of diabetes of a class of small regulatory RNA molecules, called microRNAs (miRNAs) that post- transcriptionally regulate gene expression. Global miRNA profiling in pancreatic islets of two animal models of diabetes, the db/db mice and mice that were fed a high fat diet (HFD), characterized by obesity and insulin resistance, led us to identify two groups of miRNAs displaying expression changes under pre-diabetic and diabetic conditions. Among the miRNAs already upregulated in pre-diabetic db/db mice and HFD mice, miR- 132 was found to have beneficial effects on pancreatic ß cell function and survival. Indeed, mimicking the upregulation of miR-132 in primary pancreatic islet cells and ß-cell lines improved glucose- induced insulin secretion and favored survival of the cells upon exposure to pro-apoptotic stimuli such as palmitate and cytokines. MiR-132 was found to exert its action by enhancing the expression of MafA, a transcription factor essential for ß-cell function, survival and identity. On the other hand, up-regulation of miR-199a-5p and miR-199a-3p was detectable only in the islets of diabetic db/db mice and resulted in impaired insulin secretion and sensitization of the cells to apoptosis. MiR-199a- 5p was found to decrease insulin secretion by inducing the expression of granuphilin, a potent inhibitor of ß cell exocytosis. In contrast, miR-199a-3p was demonstrated to directly target and reduce the expression of two key ß-cell genes, mTOR and cMET, resulting in impaired ß-cell adaptation to metabolic demands and loss by apoptosis. Our findings suggest that miRNAs are important players in the onset of type 2 diabetes. MiRNA expression is adjusted in pancreatic ß cells exposed to a diabetogenic environment. These changes initially concern miRNAs responsible for adaptive processes aimed at compensating the onset of insulin resistance, but later such changes can be overlapped by modifications in the level of several additional miRNAs that favor ß-cell failure and the onset of type 2 diabetes.
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ABSTRACT Persistent areas of tailings and deposits from coal and gold mining may present high levels of arsenic (As), mainly in the arsenate form, endangering the environment and human health. The establishment of vegetation cover is a key step to reclaiming these environments. Thus, this study aimed to evaluate the potential of Eucalyptus urophylla and E. citriodora seedlings for use in phytoremediation programs of arsenate-contaminated areas. Soil samples were incubated at increasing rates (0, 50, 100, 200 and 400 mg dm-3) of arsenic (arsenate form, using Na2HAsO4) for 15 days. The seedlings were produced in a substrate (vermiculite + sawdust) and were transplanted to the pots with soil three months after seed germination. The values of plant height and diameter were taken during transplanting and 30, 60 and 90 days after transplanting. In the last evaluation, the total leaf area and biomass of shoots and roots were also determined. The values of available As in soil which caused a 50 % dry matter reduction (TS50%), the As translocation index (TI) from the roots to the shoot of the plants, and its bioconcentration factor (BF) were also calculated. Higher levels of arsenate in the soil significantly reduced the dry matter production of roots and shoots and the height of both species, most notably in E. urophylla plants. The highest levels of As were found in the root, with higher values for E. citriodora (ranging from 253.86 to 400 mg dm-3). The TI and BF were also reduced with As doses, but the values found in E. citriodora were significantly higher than in E. urophylla. E. citriodora plants presented a higher capacity to tolerate As and translocate it to the shoot than E. urophylla. Although these species cannot be considered as hyperaccumulators of As, E. citriodora presented the potential to be used in phytoremediation programs in arsenate-contaminated areas due to the long-term growth period of this species.
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Background : Canakinumab, a fully human anti-IL-1b antibody has been shown to control inflammation in gouty arthritis. This study evaluated changes in health-related quality of life (HRQoL) in patients treated with canakinumab or triamcinolone acetonide (TA).Methods : An 8-wk, dose-ranging, active controlled, single-blind study in patients (_18 to _80 years) with acute gouty arthritis flare, refractory to or contraindicated to NSAlDs and/or colchicine, were randomized to canakinumab 10, 25, 50, 90, 150mg sc or TA 40mg im. HRQoL was assessed using patient reported outcomes evaluating PCS and MCS, and subscale scores of SF-36_ [acute version 2]) and functional disability (HAQ-DI_).Results : In canakinumab 150mg group, the most severe impairment at baseline was reported for physical functioning and bodily pain; levels of 41.5 and 36.0, respectively, which improved in 7 days to 80.0 and 72.2 (mean increases of 39.0 and 35.6) and at 8 wks improved to 86.1 and 86.6 (mean increases of 44.6 and 50.6); these were higher than levels seen in the general US population. TA group, showed less improvement in 7 days (mean increases of 23.3 and 21.3 for physical function and bodily pain). Functional disability scores, measured by the HAQ-DI_ decreased in both treatment groups (Table 1).Conclusions : Gouty arthritis patients treated with canakinumab showed a rapid improvement in physical and mental well-being based on SF-36_ scores. In contrast to the TA group, patients treated with canakinumab showed improvement in 7 days in physical function and bodily pain approaching levels of the general population.Disclosure statement : U.A., A.F., V.M., D.R., P.S. and K.S. are employees and shareholders of Novartis Pharma AG. A.P. has received research support from Novartis Pharma AG. N.S. has received research support and consultancy fees from Novartis Pharmaceuticals Corporation, has served on advisory boards for Novartis, Takeda, Savient, URL Pharma and EnzymeRx, and is/has been a member of a speakers' bureau for Takeda. A.S. has received consultation fees from Novartis Pharma AG, Abbott, Bristol-Myers Squibb, Essex, Pfizer, MSD, Roche, UCB and Wyeth. All other authors have declared no conflicts of interest.
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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.