Node adaptation for global collocation with radial basis functions using direct multisearch for multiobjective optimization

Meshless methods are used for their capability of producing excellent solutions without requiring a mesh, avoiding mesh related problems encountered in other numerical methods, such as finite elements. However, node placement is still an open question, specially in strong form collocation meshless methods. The number of used nodes can have a big influence on matrix size and therefore produce ill-conditioned matrices. In order to optimize node position and number, a direct multisearch technique for multiobjective optimization is used to optimize node distribution in the global collocation method using radial basis functions. The optimization method is applied to the bending of isotropic simply supported plates. Using as a starting condition a uniformly distributed grid, results show that the method is capable of reducing the number of nodes in the grid without compromising the accuracy of the solution. (C) 2013 Elsevier Ltd. All rights reserved.

Reducing the number of membership functions in linguistic variables

Dissertation presented at Universidade Nova de Lisboa, Faculdade de Ciências e Tecnologia in fulfilment of the requirements for the Masters degree in Mathematics and Applications, specialization in Actuarial Sciences, Statistics and Operations Research

Pseudofermion dynamical theory for the spin dynamical correlation functions of the half-filled 1D Hubbard model

A modified version of the metallic-phase pseudofermion dynamical theory (PDT) of the 1D Hubbard model is introduced for the spin dynamical correlation functions of the half-filled 1D Hubbard model Mott– Hubbard phase. The Mott–Hubbard insulator phase PDT is applied to the study of the model longitudinal and transverse spin dynamical structure factors at finite magnetic field h, focusing in particular on the sin- gularities at excitation energies in the vicinity of the lower thresholds. The relation of our theoretical results to both condensed-matter and ultra-cold atom systems is discussed.

Clarke critical values of subanalytic Lipschitz continuous functions

We prove that any subanalytic locally Lipschitz function has the Sard property. Such functions are typically nonsmooth and their lack of regularity necessitates the choice of some generalized notion of gradient and of critical point. In our framework these notions are defined in terms of the Clarke and of the convex-stable subdifferentials. The main result of this note asserts that for any subanalytic locally Lipschitz function the set of its Clarke critical values is locally finite. The proof relies on Pawlucki's extension of the Puiseuxlemma. In the last section we give an example of a continuous subanalytic function which is not constant on a segment of "broadly critical" points, that is, points for which we can find arbitrarily short convex combinations of gradients at nearby points.

The Cuntz semigroup, the Elliott conjecture, and dimension functions on C*-Algebras

We prove that the Cuntz semigroup is recovered functorially from the Elliott invariant for a large class of C¤-algebras. In particular, our results apply to the largest class of simple C¤-algebras for which K-theoretic classification can be hoped for. This work has three significant consequences. First, it provides new conceptual insight into Elliott's classification program, proving that the usual form of the Elliott conjecture is equivalent, among Z-stable algebras, to a conjecture which is in general substantially weaker and for which there are no known counterexamples. Second and third, it resolves, for the class of algebras above, two conjectures of Blackadar and Handelman concerning the basic structure of dimension functions on C¤-algebras. We also prove in passing that the Kuntz-Pedersen semigroup is recovered functorially from the Elliott invariant for all simple unital C¤-algebras of interest.

Identifying the neural correlates of executive functions in early cerebral microangiopathy: a combined VBM and DTI study.

Cerebral microangiopathy (CMA) has been associated with executive dysfunction and fronto-parietal neural network disruption. Advances in magnetic resonance imaging allow more detailed analyses of gray (e.g., voxel-based morphometry-VBM) and white matter (e.g., diffusion tensor imaging-DTI) than traditional visual rating scales. The current study investigated patients with early CMA and healthy control subjects with all three approaches. Neuropsychological assessment focused on executive functions, the cognitive domain most discussed in CMA. The DTI and age-related white matter changes rating scales revealed convergent results showing widespread white matter changes in early CMA. Correlations were found in frontal and parietal areas exclusively with speeded, but not with speed-corrected executive measures. The VBM analyses showed reduced gray matter in frontal areas. All three approaches confirmed the hypothesized fronto-parietal network disruption in early CMA. Innovative methods (DTI) converged with results from conventional methods (visual rating) while allowing greater spatial and tissue accuracy. They are thus valid additions to the analysis of neural correlates of cognitive dysfunction. We found a clear distinction between speeded and nonspeeded executive measures in relationship to imaging parameters. Cognitive slowing is related to disease severity in early CMA and therefore important for early diagnostics.

Peroxisomal beta-oxidation--a metabolic pathway with multiple functions.

Fatty acid degradation in most organisms occurs primarily via the beta-oxidation cycle. In mammals, beta-oxidation occurs in both mitochondria and peroxisomes, whereas plants and most fungi harbor the beta-oxidation cycle only in the peroxisomes. Although several of the enzymes participating in this pathway in both organelles are similar, some distinct physiological roles have been uncovered. Recent advances in the structural elucidation of numerous mammalian and yeast enzymes involved in beta-oxidation have shed light on the basis of the substrate specificity for several of them. Of particular interest is the structural organization and function of the type 1 and 2 multifunctional enzyme (MFE-1 and MFE-2), two enzymes evolutionarily distant yet catalyzing the same overall enzymatic reactions but via opposite stereochemistry. New data on the physiological roles of the various enzymes participating in beta-oxidation have been gathered through the analysis of knockout mutants in plants, yeast and animals, as well as by the use of polyhydroxyalkanoate synthesis from beta-oxidation intermediates as a tool to study carbon flux through the pathway. In plants, both forward and reverse genetics performed on the model plant Arabidopsis thaliana have revealed novel roles for beta-oxidation in the germination process that is independent of the generation of carbohydrates for growth, as well as in embryo and flower development, and the generation of the phytohormone indole-3-acetic acid and the signal molecule jasmonic acid.

Is the coiled body involved in nucleolar functions?

Coiled bodies (CBs) are structural constituents observed in nuclei of most eukaryotic cells. They usually occur in the nucleoplasm as well as in contact with the nucleolar surface. In this work we studied the hepatocyte nuclei of hibernating dormice in order to investigate possible modifications of CBs along the seasonal cycle. CBs were abundant during hibernation and rapidly disappeared upon arousal from hibernation. Moreover, CBs were frequently found to be integrated into the nucleolar body. Immunocytochemical analyses showed that CBs contain nucleoplasmic as well as nucleolar RNA-processing factors, suggesting an "ambiguous" role for this organelle in the nuclear functions.

Characterization of pip5k3 fleck corneal dystrophy-linked gene in zebrafish.

PIKfyve is a kinase encoded by pip5k3 involved in phosphatidylinositols (PdtIns) pathways. These lipids building cell membranes have structural functions and are involved in complex intracellular regulations. Mutations in human PIP5K3 are associated with François-Neetens mouchetée fleck corneal dystrophy [Li, S., Tiab, L., Jiao, X., Munier, F.L., Zografos, L., Frueh, B.E., Sergeev, Y., Smith, J., Rubin, B., Meallet, M.A., Forster, R.K., Hejtmancik, J.F., Schorderet, D.F., 2005. Mutations in PIP5K3 are associated with François-Neetens mouchetee fleck corneal dystrophy. Am. J. Hum. Genet. 77, 54-63]. We cloned the zebrafish pip5k3 and report its molecular characterization and expression pattern in adult fish as well as during development. The zebrafish PIKfyve was 70% similar to the human homologue. The gene encompassed 42 exons and presented four alternatively spliced variants. It had a widespread expression in the adult organs and was localized in specific cell types in the eye as the cornea, lens, ganglion cell layer, inner nuclear layer and outer limiting membrane. Pip5k3 transcripts were detected in early cleavage stage embryos. Then it was uniformly expressed at 10 somites, 18 somites and 24 hpf. Its expression was then restricted to the head region at 48 hpf, 72 hpf and 5 dpf and partial expression was found in somites at 72 hpf and 5 dpf. In situ on eye sections at 3 dpf showed a staining mainly in lens, outer limiting membrane, inner nuclear layer and ganglion cell layer. A similar expression pattern was found in the eye at 5 dpf. A temporal regulation of the spliced variants was observed at 1, 3 and 5 dpf and they were also found in the adult eye.

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.

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.

Effects of corticosterone on innate and humoral immune functions and oxidative stress in barn owl nestlings.

The costs of coping with stressful situations are traded-off against other functions such as immune responses. This trade-off may explain why corticosterone secretion reduces immune reactions. Corticosterone differentially affects various immunity components. However, which component is suppressed varies between studies. It remains unclear whether the trade-off in energy, nutrition, autoimmunity or oxidative stress accounts for differential immunosuppression. In this study, we investigated whether corticosterone differentially affects the constitutive innate and humoral acquired immunity. We used barn owl nestlings, implanting 50% with a corticosterone-releasing pellet and the other 50% with a placebo pellet. To measure the effect on humoral immunity we vaccinated 50% of the corticosterone-nestlings and 50% of the placebo-nestlings with the antigens 'Tetravac' and the other 50% were injected with PBS. To assess the costs of elevated corticosterone, we measured body mass and resistance to oxidative stress. Administration of corticosterone increased corticosterone levels whereas vaccination induced the production of antibodies. Corticosterone reduced the production of antibodies, but it did not significantly affect the constitutive innate immunity. Corticosterone reduced body growth and resistance to oxidative stress. Under stressful conditions barn owl nestlings seem to keep the constitutive innate immunity, whereas elevated corticosterone levels negatively affected inducible immune responses. We found evidence that mounting a humoral immune reaction is not costly in terms of growth, but reduces the resistance to oxidative stress independently of corticosterone administration. We suggest that humoral immunity is suppressed because the risk of immunopathologies may be disproportionately high when mounting an antibody response under stressful situations.

Molecular basis of interaction between Na,K-ATPase and FXYD proteins.

Résumé au large public Notre corps est constitué de différents types de cellules. La condition minimale ou primordiale pour la survie des cellules est d'avoir de l'énergie. Cette tâche est assumée en partie par une protéine qui se situe dans la membrane de chaque cellule. Nommé Na, K¬ATPase ou pompe à sodium, c'est une protéine pressente dans toutes les cellules chez les mammifères est composée de deux sous-unités, α et β. En transportant 3 ions de sodium hors de la cellule et 2 ions de potassium à l'intérieur de la cellule, elle transforme l'énergie chimique sous forme de l'ATP en énergie motrice, qui permet aux cellules par la suite d'échanger des matériaux entre l'espace intracellulaire et extracellulaire ainsi que d'ingérer des nutriments provenant de son environnement. Le manque de cette protéine chez la souris entraîne la mort de l'embryon. Des défauts fonctionnels de cette protéine sont responsables de plusieurs maladies humaines comme par exemple, un type de migraine. En dehors de sa fonction vitale, cette protéine est également engagée dans diverses activités physiologiques comme la contractilité musculaire, l'activité nerveuse et la régulation du volume sanguin. Vue l'importance de cette protéine, sa découverte par Jens C. Skou en 1957 a été honorée d'un Prix Noble de chimie quarante ans plus tard. Depuis lors, nous connaissons de mieux en mieux les mécanismes de fonctionnement de la Na, K-ATPase. Entre autre, sa régulation par une famille de protéines appelées protéines FXYD. Cette famille contient 7 membres (FXYD 1-7). L'un d'entre eux nommé FXYD 2 est lié à une maladie héréditaire connue sous le nom de hypomagnesemia. Nous disposons actuellement d'informations concernant les conséquences de la régulation par les protéines FXYD sur activité de la Na, K-ATPase, mais nous savons très peu sur le mode d'interaction entre les protéines FXYD et la Na, K-ATPase. Dans ce travail de thèse, nous avons réussi à localiser des zones d'interaction dans la sous- unité a de la Na, K-ATPase et dans FXYD 7. En même temps, nous avons déterminé un 3ème site de liaison spécifique au sodium de la Na, K-ATPase. Une partie de ce site se situe à l'intérieur d'un domaine protéique qui interagit avec les protéines FXYD. De plus, ce site a été démontré comme responsable d'un mécanisme de transport de la Na, K-ATPase caractérisé par un influx ionique. En conclusion, les résultats de ce travail de thèse fournissent de nouvelles preuves sur les régions d'interaction entre la Na, K-ATPase et les protéines FXYD. La détermination d'un 3ème site spécifique au sodium et sa relation avec un influx ionique offrent la possibilité 1) d'explorer les mécanismes avec lesquels les protéines FXYD régulent l'activité de la Na, ATPase et 2) de localiser un site à sodium qui est essentielle pour mieux comprendre l'organisation et le fonctionnement de la Na, K-ATPase. Résumé Les gradients de concentration de Na+ et de K+ à travers la membrane plasmatique des cellules animales sont cruciaux pour la survie et l'homéostasie de cellules. De plus, des fonctions cellulaires spécifiques telles que la reabsorption de Na dans le rein et le côlon, la contraction musculaire et l'excitabilité nerveuse dépendent de ces gradients. La Na, K¬ATPase ou pompe à sodium est une protéine membranaire ubiquitaire. Elle crée et maintient ces gradients en utilisant l'énergie obtenu par l'hydrolyse de l'adénosine triphosphate. L'unité fonctionnelle minimale de cette protéine se compose d'une sous-unité catalytique α et d'une sous-unité régulatrice β. Récemment, il a été montré que des membres de la famille FXYD, sont des régulateurs tissu-spécifiques de la Na, K-ATPase qui influencent ses propriétés de transport. Cependant, on connaît peu de chose au sujet de la nature moléculaire de l'interaction entre les protéines FXYD et la Na, K-ATPase. Dans cette étude, nous fournissons, pour la première fois, l'évidence directe que des résidus du domaine transmembranaire (TM) 9 de la sous-unité α de la Na, K-ATPase sont impliqués dans l'interaction fonctionnelle et structurale avec les protéines FXYD. De plus nous avons identifié des régions dans le domaine transmembranaire de FXYD 7 qui sont importantes pour l'association stable avec la Na, K-ATPase et une série de résidus responsables des régulations fonctionnelles. Nous avons aussi montré les contributions fonctionnelles du TM 9 de la Na, K-ATPase à la translocation de Na + en déterminant un 3ème site spécifique au Na+. Ce site se situe probablement dans un espace entre TM 9, TM 6 et TM 5 de la sous-unité α de la pompe à sodium. De plus, nous avons constaté que le 3ème site de Na + est fonctionnellement lié à un courant entrant de la pompe sensible à l'ouabaïne et activé par le pH acide. En conclusion, ce travail donne de nouvelles perspectives de l'interaction structurale et fonctionnelle entre les protéines FXYD et la Na, K-ATPase. En outre, les contributions fonctionnelles de TM 9 offrent de nouvelles possibilités pour explorer le mécanisme par lequel les protéines FXYD régulent les propriétés fonctionnelles de la Na, K-ATPase. La détermination du 3ème site au Na + fournit une compréhension avancée du site spécifique au Na + de la Na, K-ATPase et du mécanisme de transport de la Na, K-ATPase. Summary The Na+ and K+ gradients across the plasma membrane of animal cells are crucial for cell survival and homeostasis. Moreover, specific tissue functions such as Na+ reabsorption in kidney and colon, muscle contraction and nerve excitability depend on the maintenance of these gradients. Na, K-ATPase or sodium pump, an ubiquitous membrane protein, creates and maintains these gradients by using the energy from the hydrolysis of ATP. The minimal functional unit of this protein is composed of a catalytic α subunit and a regulatory β subunit. Recently, members of the FXYD family, have been reported to be tissue-specific regulators of Na, K-ATPase by influencing its transport properties. However, little is known about the molecular nature of the interaction between FXYD proteins and Na, K-ATPase. In this study, we provide, for the first time, direct evidence that residues from the transmembrane (TM) domain 9 of the α subunit of Na, K-ATPase are implicated in the functional and structural interaction with FXYD proteins. Moreover, we have identified regions in the TM domain of FXYD 7 important for the stable association with Na, K-ATPase and a stretch of residues responsible for the functional regulations. We have further revealed the functional contributions of TM 9 of the Na, K-ATPase α subunit to the Na+ translocation by determining a 3rd Na+-specific cation binding site. This site is likely in a space between TM 9, TM 6 and TM 5 of the a subunit of the sodium pump. Moreover, we have found that the 3rd Na+ binding site is functionally linked to an acidic pH- activated ouabain-sensitive inward pump current. In conclusion, this work gives new insights into the structural and functional interaction between FXYD proteins and Na, K-ATPase. Functional contributions of TM 9 offer new possibilities to explore the mechanism by which FXYD proteins regulate functional properties of Na, K-ATPase. The determination of the 3rd Na+ binding site provides an advanced understanding concerning the Na+ -specific binding site of Na, K-ATPase and the 3rd Na+ site related transport mechanism.

Investigation of memory, executive functions, and anatomic correlates in asymptomatic FMR1 premutation carriers.

Fragile X-associated tremor/ataxia syndrome (FXTAS) is a late-onset movement disorder associated with FMR1 premutation alleles. Asymptomatic premutation (aPM) carriers have preserved cognitive functions, but they present subtle executive deficits. Current efforts are focusing on the identification of specific cognitive markers that can detect aPM carriers at higher risk of developing FXTAS. This study aims at evaluating verbal memory and executive functions as early markers of disease progression while exploring associated brain structure changes using diffusion tensor imaging. We assessed 30 aPM men and 38 intrafamilial controls. The groups perform similarly in the executive domain except for decreased performance in motor planning in aPM carriers. In the memory domain, aPM carriers present a significant decrease in verbal encoding and retrieval. Retrieval is associated with microstructural changes of the white matter (WM) of the left hippocampal fimbria. Encoding is associated with changes in the WM under the right dorsolateral prefrontal cortex, a region implicated in relational memory encoding. These associations were found in the aPM group only and did not show age-related decline. This may be interpreted as a neurodevelopmental effect of the premutation, and longitudinal studies are required to better understand these mechanisms.

Functional roles of Na,K-ATPase subunits

PURPOSE OF REVIEW: Na,K-ATPase is an oligomeric protein composed of alpha subunits, beta subunits and FXYD proteins. The catalytic alpha subunit hydrolyzes ATP and transports the cations. Increasing experimental evidence suggest that beta subunits and FXYD proteins essentially contribute to the variable physiological needs of Na,K-ATPase function in different tissues. RECENT FINDINGS: Beta subunits have a crucial role in the structural and functional maturation of Na,K-ATPase and modulate its transport properties. The chaperone function of the beta subunit is essential, for example, in the formation of tight junctions and cell polarity. Recent studies suggest that beta subunits also have inherent functions, which are independent of Na,K-ATPase activity and which may be involved in cell-cell adhesiveness and in suppression of cell motility. As for FXYD proteins, they modulate Na,K-ATPase activity in a tissue-specific way, in some cases in close cooperation with posttranslational modifications such as phosphorylation. SUMMARY: A better understanding of the multiple functional roles of the accessory subunits of Na,K-ATPase is crucial to appraise their influence on physiological processes and their implication in pathophysiological states