Integrability and non-integrability of periodic non-autonomous Lyness recurrences

This paper studies non-autonomous Lyness type recurrences of the form x_{n+2}=(a_n+x_n)/x_{n+1}, where a_n is a k-periodic sequence of positive numbers with prime period k. We show that for the cases k in {1,2,3,6} the behavior of the sequence x_n is simple(integrable) while for the remaining cases satisfying k not a multiple of 5 this behavior can be much more complicated(chaotic). The cases k multiple of 5 are studied separately.

Integrability and non-integrability of periodic non-autonomous Lyness recurrences (revised and enlarged version)

This paper studies non-autonomous Lyness type recurrences of the form xn+2 = (an+xn+1)=xn, where fang is a k-periodic sequence of positive numbers with primitive period k. We show that for the cases k 2 f1; 2; 3; 6g the behavior of the sequence fxng is simple (integrable) while for the remaining cases satisfying this behavior can be much more complicated (chaotic). We also show that the cases where k is a multiple of 5 present some di erent features.

Multifractal dimension of chaotic attractors in a driven semiconductor superlattice

The multifractal dimension of chaotic attractors has been studied in a weakly coupled superlattice driven by an incommensurate sinusoidal voltage as a function of the driving voltage amplitude. The derived multifractal dimension for the observed bifurcation sequence shows different characteristics for chaotic, quasiperiodic, and frequency-locked attractors. In the chaotic regime, strange attractors are observed. Even in the quasiperiodic regime, attractors with a certain degree of strangeness may exist. From the observed multifractal dimensions, the deterministic nature of the chaotic oscillations is clearly identified.

An approximation algorithm for #k-SAT

"Vegeu el resum a l'inici del document del fitxer adjunt"

On the system of the functions x (s) / (s-r)k

"Vegeu el resum a l'inici del document del fitxer adjunt."

Síntesi de siRNAs (short interfering RNAs) modificats amb nucleobases 5-metil i 5-propinil pirimidíniques i avaluació de la seva activitat in vitro en cultius cel•lulars i de la seva estabilitat en sèrum humà. Disseny de siRNAs dirigits a la inhibició de l'expressió de mutacions de l'oncogen K-ras.

Projecte de recerca elaborat a partir d’una estada a la Stanford University, EEUU, entre 2007 i 2009. El present projecte es basa 1) en la síntesi de cadenes d'ARN dirigides a la inhibició de l'expressió gènica per un mecanisme d'ARN d'interferència (siRNAs o short interefering RNAs) i 2) en l'avaluació de l'activitat in vitro d'aquests oligonucleòtids en cultius cel•lulars. Concretament, la meva recerca ha estat enfocada principalment a l'estudi de cadenes de siRNA modificades amb nucleobases 5-metil i 5-propinil pirimidíniques. Es tractava d'avaluar l'efecte que exerceixen els factors estèrics en el major groove (solc major) dels siRNAs sobre la seva activitat biològica. En aquest sentit, he dut aterme síntesi de fosforamidits de nucleòsis pirimidínics modificats a la posició C-5 de la nucleobase. A continuació he incorporat aquestes unitats nucleosídiques en cadenes d'ARN emprant un sintetitzador d’ADN/ARN i he estudiat l'estabilitat dels corresponents dúplexs d'ARN mitjançant experiments de desnaturalització tèrmica. Finalment he dut a terme experiments d'inhibició de l'expressió gènica en cèl.lules HeLa per tal d'avaluar l'activitat biològia d'aquests siRNAs modificats. Els resultats d'aquests estudis han posat de manifest que la presència de grups voluminosos com el propinil a l'extrem 5' del dúplex de siRNA (definit per la cadena guia o antisense) influeix de forma molt negativa en la seva activitat biològica. En canvi, grups menys voluminosos com el metil hi influeixen positivament, de manera que algunes de les cadenes sintetitzades han resultat ser més actives que els corresponents siRNAs naturals (wild type siRNAs). A més, aquest tipus de modificació contribueix positivament en l'estabilitat de cadenes de siRNA en sèrum humà. Aquest treball ha estat publicat (Terrazas, M.; Kool, E.T. "Major Groove Modifications Improve siRNA Stability and Biological Activity" Nucleic Acids Res. 2009, in press).

WEB Cas Pràctic boo-k : Gestió d'una Botiga Virtual

L'objectiu d'aquest treball és especificar, dissenyar i implementar una aplicació web que permeti l'operativa real dels serveis de gestió d'una botiga virtual d'Internet, amb el suport d'un sistema de gestió de bases de dades.

K.O. Apel: transcendentalisme i praxi de la veritat.

L'objectiu d'aquest treball és explicar i fer la crítica de la Teoria de la Veritat recentment defensada per Apel. En primer lloc, el consens i pragmàtica de la Teoria de la Veritat d'Apel es presenta en relació amb el projecte de la Teoria Crítica de la Societat de Habermas i el problema dels fonaments en el raonament ètic. En segon lloc, la seva versió idealitzada i transcendental de la Veritat que invoca la noció de convergència en una comunitat ideal d'investigadors lliures és analitzada. Finalment, les entranyes de l'esperit wingensteinià i després de l'últim anàlisi de Putnam, s’ha intentat fer una avaluació crítica. El resultat de tot això serà una més modesta concepció de la Veritat com a tan sols una qualitat de la praxi lingüística humana, però no la seva primera pedra

Constraint algorithm for k-presymplectic Hamiltonian systems. Application to singular field theories

The k-symplectic formulation of field theories is especially simple, since only tangent and cotangent bundles are needed in its description. Its defining elements show a close relationship with those in the symplectic formulation of mechanics. It will be shown that this relationship also stands in the presymplectic case. In a natural way,one can mimick the presymplectic constraint algorithm to obtain a constraint algorithmthat can be applied to k-presymplectic field theory, and more particularly to the Lagrangian and Hamiltonian formulations offield theories defined by a singular Lagrangian, as well as to the unified Lagrangian-Hamiltonian formalism (Skinner--Rusk formalism) for k-presymplectic field theory. Two examples of application of the algorithm are also analyzed.

Videojocs educatius : configuració del perfil del jugador en la plataforma de videojocs educatius K-Pax

Aquest treball presenta una forma de gestionar el perfil dels usuaris de l'aplicació gestora de videojocs educatius en xarxa k-Pax. Paral·lelament al desenvolupament del codi es realitza la documentació de gran part de la plataforma existent, de les accions necessàries per poder tenir-la en mode local i es mostren algunes guies per futurs desenvolupaments.

Programa de gestión de juegos para la plataforma k-PAX

Este proyecto es una mejora sobre la plataforma k-Pax para tratar de realizar búsquedas avanzadas sobre los juegos educativos alojados en la misma.

Mejoras de funcionalidades en la gestión de usuariosde la plataforma K-PAX

Esta memoria trata de las mejoras propuestas en la plataforma educativa kPax de la UOC referentes a la gestión de usuarios.

Impaired fast-spiking, suppressed cortical inhibition and increased susceptibility to seizures in mice lacking Kv3.2 K+ channel proteins

Voltage-gated K+ channels of the Kv3 subfamily have unusual electrophysiological properties, including activation at very depolarized voltages (positive to −10 mV) and very fast deactivation rates, suggesting special roles in neuronal excitability. In the brain, Kv3 channels are prominently expressed in select neuronal populations, which include fast-spiking (FS) GABAergic interneurons of the neocortex, hippocampus, and caudate, as well as other high-frequency firing neurons. Although evidence points to a key role in high-frequency firing, a definitive understanding of the function of these channels has been hampered by a lack of selective pharmacological tools. We therefore generated mouse lines in which one of the Kv3 genes, Kv3.2, was disrupted by gene-targeting methods. Whole-cell electrophysiological recording showed that the ability to fire spikes at high frequencies was impaired in immunocytochemically identified FS interneurons of deep cortical layers (5-6) in which Kv3.2 proteins are normally prominent. No such impairment was found for FS neurons of superficial layers (2-4) in which Kv3.2 proteins are normally only weakly expressed. These data directly support the hypothesis that Kv3 channels are necessary for high-frequency firing. Moreover, we found that Kv3.2 −/− mice showed specific alterations in their cortical EEG patterns and an increased susceptibility to epileptic seizures consistent with an impairment of cortical inhibitory mechanisms. This implies that, rather than producing hyperexcitability of the inhibitory interneurons, Kv3.2 channel elimination suppresses their activity. These data suggest that normal cortical operations depend on the ability of inhibitory interneurons to generate high-frequency firing.

K(+) channel expression distinguishes subpopulations of parvalbumin- and somatostatin-containing neocortical interneurons

Kv3.1 and Kv3.2 K+ channel proteins form similar voltage-gated K+ channels with unusual properties, including fast activation at voltages positive to −10 mV and very fast deactivation rates. These properties are thought to facilitate sustained high-frequency firing. Kv3.1 subunits are specifically found in fast-spiking, parvalbumin (PV)-containing cortical interneurons, and recent studies have provided support for a crucial role in the generation of the fast-spiking phenotype. Kv3.2 mRNAs are also found in a small subset of neocortical neurons, although the distribution of these neurons is different. We raised antibodies directed against Kv3.2 proteins and used dual-labeling methods to identify the neocortical neurons expressing Kv3.2 proteins and to determine their subcellular localization. Kv3.2 proteins are prominently expressed in patches in somatic and proximal dendritic membrane as well as in axons and presynaptic terminals of GABAergic interneurons. Kv3.2 subunits are found in all PV-containing neurons in deep cortical layers where they probably form heteromultimeric channels with Kv3.1 subunits. In contrast, in superficial layer PV-positive neurons Kv3.2 immunoreactivity is low, but Kv3.1 is still prominently expressed. Because Kv3.1 and Kv3.2 channels are differentially modulated by protein kinases, these results raise the possibility that the fast-spiking properties of superficial- and deep-layer PV neurons are differentially regulated by neuromodulators. Interestingly, Kv3.2 but not Kv3.1 proteins are also prominent in a subset of seemingly non-fast-spiking, somatostatin- and calbindin-containing interneurons, suggesting that the Kv3.1–Kv3.2 current type can have functions other than facilitating high-frequency firing.

Motivational effects of cannabinoids are mediated by μ-opioid and k-opioid receptor

Repeated THC administration produces motivational and somaticadaptive changes leading to dependence in rodents. Toinvestigate the molecular basis for cannabinoid dependenceand its possible relationship with the endogenous opioid system,we explored Δ9-tetrahydrocannabinol (THC) activity in mice lacking μ-, δ- or κ-opioid receptor genes. Acute THCinduced hypothermia, antinociception, and ypolocomotion remained unaffected in these mice, whereas THC tolerance and withdrawal were minimally modified in mutant animals. In contrast, profound phenotypic changes are observed in several place conditioning protocols that reveal both THC rewarding and aversive properties. Absence of μ receptors abolishes THC place preference. Deletion of κ receptors ablates THC place aversion and furthermore unmasks THC place preference. Thus, an opposing activity of μ- and κ-opioid receptors in modulating reward pathways forms the basis for the dual euphoric–dysphoric activity of THC.