Connections between signal processing and complex analysis

We describe one of the research lines of the Grup de Teoria de Funcions de la UAB UB, which deals with sampling and interpolation problems in signal analysis and their connections with complex function theory.

Option valuation as an expectation in the complex domain: The Black-Scholes case

It is very well known that the first succesful valuation of a stock option was done by solving a deterministic partial differential equation (PDE) of the parabolic type with some complementary conditions specific for the option. In this approach, the randomness in the option value process is eliminated through a no-arbitrage argument. An alternative approach is to construct a replicating portfolio for the option. From this viewpoint the payoff function for the option is a random process which, under a new probabilistic measure, turns out to be of a special type, a martingale. Accordingly, the value of the replicating portfolio (equivalently, of the option) is calculated as an expectation, with respect to this new measure, of the discounted value of the payoff function. Since the expectation is, by definition, an integral, its calculation can be made simpler by resorting to powerful methods already available in the theory of analytic functions. In this paper we use precisely two of those techniques to find the well-known value of a European call

Geochemical and H-O-Sr-Nd isotope evidence for magmatic processes and meteoric-water interactions in the basal complex of La Gomera, Canary Islands

The plutonic rocks of the Basal Complex of La Gomera, Canary Islands, Spain, were studied by means of major and trace element contents and by H-O-Sr-Nd isotope compositions in order to distinguish primary magmatic characteristics and late-stage alteration products. Deciphering the effects of alteration allowed us to determine primary, plume-related compositions that indicated D- and (18)O-depletion relative to normal upper mantle, supporting the conclusions of earlier studies on the plutonic rocks of Fuerteventura and La Palma. Late-stage alteration took place during the formation of the intrusive series induced by interaction with meteoric water. Inferred isotopic compositions of the meteoric water indicate that the water infiltrated into the rock edifice at a height of about 1500 m above sea level, suggesting the existence of a subaerial volcano which was active during the intrusive activity and that it has been either distroyed or remain buried by later volcanic and landslide events.

Role of major histocompatibility complex class II expression by non-hematopoietic cells in autoimmune and inflammatory disorders: facts and fiction.

It is well established that interactions between CD4(+) T cells and major histocompatibility complex class II (MHCII) positive antigen-presenting cells (APCs) of hematopoietic origin play key roles in both the maintenance of tolerance and the initiation and development of autoimmune and inflammatory disorders. In sharp contrast, despite nearly three decades of intensive research, the functional relevance of MHCII expression by non-hematopoietic tissue-resident cells has remained obscure. The widespread assumption that MHCII expression by non-hematopoietic APCs has an impact on autoimmune and inflammatory diseases has in most instances neither been confirmed nor excluded by indisputable in vivo data. Here we review and put into perspective conflicting in vitro and in vivo results on the putative impact of MHCII expression by non-hematopoietic APCs-in both target organs and secondary lymphoid tissues-on the initiation and development of representative autoimmune and inflammatory disorders. Emphasis will be placed on the lacunar status of our knowledge in this field. We also discuss new mouse models-developed on the basis of our understanding of the molecular mechanisms that regulate MHCII expression-that constitute valuable tools for filling the severe gaps in our knowledge on the functions of non-hematopoietic APCs in inflammatory conditions.

Low molecular weight carboxylic acids in oxidizing porphyry copper tailings

The distribution of low molecular weight carboxylic acids (LMWCA) was investigated in pore water profiles from two porphyry copper tailings impoundments in Chile (Piuquenes at La Andina and Cauquenes at El Teniente mine). The objectives of this study were (1) to determine the distribution of LMWCA, which are interpreted to be the metabolic byproducts of the autotroph microbial community in this low organic carbon system, and (2) to infer the potential role of these acids in cycling of Fe and other elements in the tailings impoundments. The speciation and mobility of iron, and potential for the release of H+ via hydrolysis of the ferric iron, are key factors in the formation of acid mine drainage in sulfidic mine wastes. In the low-pH oxidation zone of the Piuquenes tailings, Fe(III) is the dominant iron species and shows high mobility. LMWCA, which occur mainly between the oxidation front down to 300 cm below the tailings surface at both locations (e.g., max concentrations of 0.12 mmol/L formate, 0.17 mmol/L acetate, and 0.01 mmol/L pyruvate at Piuquenes and 0.14 mmol/L formate, 0.14 mmol/L acetate, and 0.006 mmol/L pyruvate at Cauquenes), are observed at the same location as high Fe concentrations (up to 71.2 mmol/L Fe(II) and 16.1 mmol/L Fe(III), respectively). In this zone, secondary Fe(111) hydroxides are depleted. Our data suggest that LMWCA may influence the mobility of iron in two ways. First, complexation of Fe(III), through formation of bidentate Fe(III)-LMWCA complexes (e.g., pyruvate, oxalate), may enhance the dissolution of Fe(III) (oxy)hydroxides or may prevent precipitation of Fe(III) (oxy)hydroxides. Soluble Fe(III) chelate complexes which may be mobilized downward and convert to Fe(II) by Fe(III) reducing bacteria. Second, monodentate LMWCA (e.g., acetate and formate) can be used by iron-reducing bacteria as electron donors (e.g., Acidophilum spp.), with ferric iron as the electron acceptor. These processes may, in part, explain the low abundances of secondary Fe(III) hydroxide precipitates below the oxidation front and the high concentrations of Fe(II) observed in the pore waters of some low-sulfide systems. The reduction of Fe(III) and the subsequent increase of iron mobility and potential acidity transfer (Fe(II) oxidation can result in the release of H+ in an oxic environment) should be taken in account in mine waste management strategies.

Growth rate of fractal copper electrodeposits: Potential and concentration effects

Experiments are reported on fractal copper electrodeposits. An electrochemical cell was designed in order to obtain a potentiostatic control on the quasi-two-dimensional electrodeposition process. The aim was focused on the analysis of the growth rate of the electrodeposited phase, in particular its dependence on the electrode potential and electrolyte concentration.

Special investigation of the University of Northern Iowa Events Complex Concessions for the period October 1, 2006 through March 31, 2012

Special investigation of the University of Northern Iowa Events Complex Concessions for the period October 1, 2006 through March 31, 2012

Munc18-1 mutations that strongly impair SNARE-complex binding support normal synaptic transmission.

Synaptic transmission depends critically on the Sec1p/Munc18 protein Munc18-1, but it is unclear whether Munc18-1 primarily operates as a integral part of the fusion machinery or has a more upstream role in fusion complex assembly. Here, we show that point mutations in Munc18-1 that interfere with binding to the free Syntaxin1a N-terminus and strongly impair binding to assembled SNARE complexes all support normal docking, priming and fusion of synaptic vesicles, and normal synaptic plasticity in munc18-1 null mutant neurons. These data support a prevailing role of Munc18-1 before/during SNARE-complex assembly, while its continued association to assembled SNARE complexes is dispensable for synaptic transmission.

Induction of CTL in vivo by major histocompatibility complex class I-peptide complexes covalently associated on the cell surface.

The identification of endogenously produced antigenic peptides presented by MHC class I molecules has opened the way to peptide-based strategies for CTL induction in vivo. Here we demonstrate that the induction in vivo of CTL directed against naturally processed antigens can be triggered by injection of syngeneic cells expressing covalent major histocompatibility complex class I-peptide complexes. In the model system used, the induction of HLA-Cw3 specific cytotoxic T lymphocytes (CTL) in mice by cell surface-associated, covalent H-2Kd (Kd)-Cw3 peptide complexes was investigated. The Kd-restricted Cw3 peptide 170-179 (RYLKNGKETL), which mimics the major natural epitope recognized by Cw3-specific CTL in H-2d mice, was converted to a photoreactive derivative by replacing Arg-170 with N-beta-(4-azidosalicyloyl)-L-2,3-diaminopropionic acid. This peptide derivative was equivalent to the parental Cw3 peptide in terms of binding to Kd molecules and recognition by Cw3-specific CTL clones and could be cross-linked efficiently and selectively to Kd molecules on the surface of Con A-stimulated spleen cells from H-2d mice. Photocross-linking prevented the rapid dissociation of Kd-peptide derivative complexes that takes place under physiological conditions. Cultures of spleen cells or peritoneal exudate cells from mice inoculated i.p. with peptide-pulsed and photocross-linked cells developed a strong CTL response following antigenic stimulation in vitro. The cultured cells efficiently lysed not only target cells sensitized with the Cw3 170-179 peptide but also target cells transfected with the Cw3 gene. Moreover, their TCR preferentially expressed V beta 10 and J alpha pHDS58 segments as well as conserved junctional sequences, as has been observed previously in Cw3-specific CTL responses. In contrast, no Cw3-specific CTL response could be obtained in cultures derived from mice injected with Con A-stimulated spleen cells pulsed with the peptide derivative without photocross-linking.

Strategies of "Pseudomonas aeruginosa" to overcome copper limitation

Summary Copper is an important trace element and micronutrient for living organisms as it is the cofactor of several enzymes involved in diverse biological redox processes such as aerobic respiration, denitrification and photosynthesis. Despite its importance, copper may be poorly bioavailable in soils and aquatic environments, as well as in the human body, especially at physiological or alkaline pH. In this work, we have investigated the strategies that the versatile bacterium and opportunistic pathogen Pseudomonas aeruginosa has evolved to face and overcome copper limitation. The global response of the P. aeruginosa to copper limitation was assessed under aerobic conditions. Numerous iron uptake functions (including the siderophores pyoverdine and pyochelin) were down-regulated whereas expression of cioAB (encoding an alternative, copper-independent, cyanide-resistant ubiquinol oxidase) was up-regulated. Wild type P. aeruginosa was able to grow aerobically in a defined glucose medium depleted of copper by a copper chelator, whereas a cioAB mutant did not grow. Thus, P. aeruginosa relies on the CioAB enzyme to cope with severe copper deprivation. A quadruple cyo cco1 cco2 cox mutant, which was deleted for all known heme-copper terminal oxidases of P. aeruginosa, grew aerobically, albeit more slowly than did the wild type, indicating that the CioAB enzyme is capable of energy conservation. However, the expression of a cioA'-'lacZ fusion was less dependent on the copper status in the quadruple mutant than in the wild type, suggesting that copper availability might affect cioAB expression indirectly, via the function of the heme-copper oxidases. These results suggest that the CioAB enzyme can be used as a by-pass strategy to overcome severe copper limitation and perform aerobic respiration even if virtually no copper is available. The PA0114 gene, which encodes a protein of the SCOT/SenC family, was found to be important for copper acquisition and aerobic respiration in low copper conditions. A PA0114 (sent) mutant grew poorly in low copper media and had low terminal oxidase activity with TMPD (N,N,N',N'-tetramethyl-p-phenylenediamine), but expressed the CioAB enzyme at elevated levels. Addition of copper reversed these phenotypes, suggesting that periplasmic copper capture by the SenC protein is another strategy that helps P. aeruginosa to adapt to copper deprivation. RESUME Le cuivre est un micronutriment important pour les organismes vivants. Il représente le cofacteur de plusieurs enzymes impliquées dans une multitude de processus biologiques tels que la respiration aérobie, la dénitrification et la photosynthèse. Malgré son importance, le cuivre peut être peu disponible dans les sols, les environnements aquatiques et le corps humain, spécialement à pH physiologique ou alcalin. Dans ce travail nous avons étudié les stratégies développées par la bactérie pathogène opportuniste Pseudomonas aeruginosa PAO1 afm de faire face et de surmonter le manque de cuivre. La réponse globale de P. aeruginosa à la carence de cuivre a été analysée dans des conditions aérobie. Les résultats obtenus ont montré que plusieurs gènes impliqués dans l'acquisition du fer, tels que les gènes codant pour les sidérophores (pyoverdine et pyochéline), étaient réprimés, tandis que l'expression de l'opéron cioAB, codant pour l'oxydase terminale insensible au cyanure (CIO), était augmentée. La souche sauvage P. aeruginosa est capable de croître dans un milieu où la concentration en cuivre est limitée, due à la présence d'un chélateur spéciftque de cuivre, tandis que le mutant cioAB ne croît pas dans ces conditions. Nous avons conclu que P. aeruginosa nécessite l'oxydase terminale CIO pour faire face à la carence en cuivre. Un quadruple mutant affecté dans toutes les oxydases dépendantes du cuivre (cyo ccol cco2 cox) et appartenant aux oxydases de type hème-cuivre, peut croître en aérobie, néanmoins plus lentement que la souche sauvage, ce qui montre que l'enzyme CIO est capable de conserver l'énergie. L'expression de la fusion rapportrice cioA'-'IacZ chez le quadruple mutant est moins dépendante de la disponibilité de cuivre que chez la souche sauvage. Ces résultats suggèrent que la disponibilité de cuivre influence l'expression de cioAB d'une façon indirecte, par le biais des oxydases terminales de type héme-cuivre. Il est donc possible qu'en cas de carence de cuivre, P. aeruginosa utilise l'enzyme CIO comme stratégie afin de surmonter ce manque et de réaliser la respiration aérobie. Nous avons démontré que le gène PA0114, codant pour une protéine appartenant à la famille SCO1/SenC, est important dans l'acquisition et dans la respiration aérobie dans des environnements où le cuivre est présent en faible concentration. En ces conditions, la croissance du mutant senC est faible; de plus, l'activité des oxydases terminales en présence du donneur d'électrons TMPD (N,N,N,N'-tetraméthyl-p-phénylenediamine) est basse. Toutefois, l'addition de cuivre au milieu de culture permet de restaurer le phénotype du type sauvage. Ces résultats montrent que la protéine SenC est capable d'acquérir le cuivre et représente donc une autre stratégie chez P. aeruginosa pour s'adapter à un manque de cuivre.

Regions of mouse mammary tumor virus superantigen involved in interaction with the major histocompatibility complex class II I-A molecule.

To study the major histocompatibility complex class II I-E dependence of mouse mammary tumor virus (MMTV) superantigens, we constructed hybrids between the I-E-dependent MMTV(GR) and the I-E-independent mtv-7 superantigens and tested them in vivo. Our results suggest that, although the C-terminal third mediates I-A interaction, additional binding sites are located elsewhere in the superantigen.