Pattern selection in a lattice of pulse-coupled oscillators

We study spatio-temporal pattern formation in a ring of N oscillators with inhibitory unidirectional pulselike interactions. The attractors of the dynamics are limit cycles where each oscillator fires once and only once. Since some of these limit cycles lead to the same pattern, we introduce the concept of pattern degeneracy to take it into account. Moreover, we give a qualitative estimation of the volume of the basin of attraction of each pattern by means of some probabilistic arguments and pattern degeneracy, and show how they are modified as we change the value of the coupling strength. In the limit of small coupling, our estimative formula gives a pefect agreement with numerical simulations.

Statistical mechanical theory of an oscillating isolated system: The relaxation to equilibrium

In this Contribution we show that a suitably defined nonequilibrium entropy of an N-body isolated system is not a constant of the motion, in general, and its variation is bounded, the bounds determined by the thermodynamic entropy, i.e., the equilibrium entropy. We define the nonequilibrium entropy as a convex functional of the set of n-particle reduced distribution functions (n ? N) generalizing the Gibbs fine-grained entropy formula. Additionally, as a consequence of our microscopic analysis we find that this nonequilibrium entropy behaves as a free entropic oscillator. In the approach to the equilibrium regime, we find relaxation equations of the Fokker-Planck type, particularly for the one-particle distribution function.

Increased eeg synchronization in schizophrenia patients by the glutathione precursor, n-acetyl-cysteine

Background: Glutathione (GSH) dysregulation at the gene, protein and functional levels observed in schizophrenia patients, and schizophrenia-like anomalies in GSH deficit experimental models, suggest that genetic glutathione synthesis impairments represent one major risk factor for the disease (Do et al., 2009). In a randomized, double blind, placebo controlled, add-on clinical trial of 140 patients, the GSH precursor N-Acetyl-Cysteine (NAC, 2 g/day, 6 months) significantly improved the negative symptoms and reduced side-effects due to antipsychotics (Berk et al., 2008). In a subset of patients (n=7), NAC (2 g/day, 2 months, cross-over design) also improved auditory evoked potentials, the NMDAdependent mismatch negativity (Lavoie et al, 2008). Methods: To determine whether increased GSH levels would modulate the topography of functional brain connectivity, we applied a multivariate phase synchronization (MPS) estimator (Knyazeva et al, 2008) to dense-array EEGs recorded during rest with eyes closed at the protocol onset, the point of crossover, and at its end. Phase synchronization phenomena are appealing because they can be associated to synchronized phases while the amplitudes stay uncorrelated. MPS measures the degree of interactions among the recorded neuronal oscillators by quantifiying to what extent they behave like a macro-oscillator (i.e. the oscillators are phase synchronous). To assess the whole-head synchronization topography, we computed the MPS sensor-wise over the cluster of locations defined by the sensor itself and he surrounding ones belonging to its second-order neighborhood (Carmeli et al, 2005). Such a cluster spans about 12 cm on average. Abstracts 245 Results: The whole-head imaging revealed a specific synchronization landscape in NAC compared to placebo condition. In particular, NAC increased MPS over frontal and left temporal regions in a frequency-specific manner. Importantly, the topography and direction of MPS changes were similar and robust in all 7 patients. Moreover, these changes correlated with the changes in the Liddle's score of disorganization (Liddle, 1987) thus linking EEG synchronization to the improvement of clinical picture. Discussion: The data suggest an important pathway towards new therapeutic strategies that target GSH dysregulation in schizophrenia. They also show the utility of MPS mapping as a marker of treatment efficacy.

Higher plants use LOV to perceive blue light.

Higher plants use several classes of blue light receptors to modulate a wide variety of physiological responses. Among them, both the phototropins and members of the Zeitlupe (ZTL) family use light oxygen voltage (LOV) photosensory domains. In Arabidopsis, these families comprise phot1, phot2 and ZTL, LOV Kelch Protein 2 (LKP2), and Flavin-binding Kelch F-box1 (FKF1). It has now been convincingly shown that blue-light-induced autophosphorylation of the phot1 kinase domain is an essential step in signal transduction. Recent experiments also shed light on the partially distinct photosensory specificities of phot1 and phot2. Phototropin signaling branches rapidly following photoreceptor activation to mediate distinct responses such as chloroplast movements or phototropism. Light activation of the LOV domain in ZTL family members modulates their capacity to interact with GIGANTEA (GI) and their ubiquitin E3 ligase activity. A complex between GI and FKF1 is required to trigger the degradation of a repressor of CO (CONSTANS) expression and thus modulates flowering time. In contrast, light-regulated complex formation between ZTL and GI appears to limit the capacity of ZTL to degrade its targets, which are part of the circadian oscillator.

Oculopalatal tremor: current concepts and new observations.

PURPOSE OF REVIEW: Oculopalatal tremor (OPT) is an acquired disorder resulting from the interruption of a specific brainstem circuitry, the dentato-rubro-olivary pathway or Guillain-Mollaret triangle. The recent literature on OPT and olivary hypertrophy was reviewed with specific interest regarding causes, diagnostic procedures, physiopathology and therapies. RECENT FINDINGS: OPT is associated with inferior olivary hypertrophy, and recent findings have provided a better understanding of its intimate mechanisms. A dual-mechanism model, combining an oscillator (inferior olive) and a modulator/amplifier (cerebellum), best explains the development of OPT. Electrotonic coupling and specific Ca channels contribute to oscillations of inferior olivary nucleus neurons in OPT. Improvement of visual symptoms can be achieved with oral gabapentin or memantine. SUMMARY: Both the neuronal circuitry and the physiopathology of OPT are now better understood. This opens up an era of specific therapy for this rare cause of disabling oscillopsia.

Energy relaxation in nonlinear one-dimensional lattices

We study energy relaxation in thermalized one-dimensional nonlinear arrays of the Fermi-Pasta-Ulam type. The ends of the thermalized systems are placed in contact with a zero-temperature reservoir via damping forces. Harmonic arrays relax by sequential phonon decay into the cold reservoir, the lower-frequency modes relaxing first. The relaxation pathway for purely anharmonic arrays involves the degradation of higher-energy nonlinear modes into lower-energy ones. The lowest-energy modes are absorbed by the cold reservoir, but a small amount of energy is persistently left behind in the array in the form of almost stationary low-frequency localized modes. Arrays with interactions that contain both a harmonic and an anharmonic contribution exhibit behavior that involves the interplay of phonon modes and breather modes. At long times relaxation is extremely slow due to the spontaneous appearance and persistence of energetic high-frequency stationary breathers. Breather behavior is further ascertained by explicitly injecting a localized excitation into the thermalized arrays and observing the relaxation behavior.

cGMP-dependent protein kinase type I is implicated in the regulation of the timing and quality of sleep and wakefulness.

Many effects of nitric oxide (NO) are mediated by the activation of guanylyl cyclases and subsequent production of the second messenger cyclic guanosine-3',5'-monophosphate (cGMP). cGMP activates cGMP-dependent protein kinases (PRKGs), which can therefore be considered downstream effectors of NO signaling. Since NO is thought to be involved in the regulation of both sleep and circadian rhythms, we analyzed these two processes in mice deficient for cGMP-dependent protein kinase type I (PRKG1) in the brain. Prkg1 mutant mice showed a strikingly altered distribution of sleep and wakefulness over the 24 hours of a day as well as reductions in rapid-eye-movement sleep (REMS) duration and in non-REM sleep (NREMS) consolidation, and their ability to sustain waking episodes was compromised. Furthermore, they displayed a drastic decrease in electroencephalogram (EEG) power in the delta frequency range (1-4 Hz) under baseline conditions, which could be normalized after sleep deprivation. In line with the re-distribution of sleep and wakefulness, the analysis of wheel-running and drinking activity revealed more rest bouts during the activity phase and a higher percentage of daytime activity in mutant animals. No changes were observed in internal period length and phase-shifting properties of the circadian clock while chi-squared periodogram amplitude was significantly reduced, hinting at a less robust oscillator. These results indicate that PRKG1 might be involved in the stabilization and output strength of the circadian oscillator in mice. Moreover, PRKG1 deficiency results in an aberrant pattern, and consequently a reduced quality, of sleep and wakefulness, possibly due to a decreased wake-promoting output of the circadian system impinging upon sleep.

Rhythmic growth explained by coincidence between internal and external cues.

Most organisms use circadian oscillators to coordinate physiological and developmental processes such as growth with predictable daily environmental changes like sunrise and sunset. The importance of such coordination is highlighted by studies showing that circadian dysfunction causes reduced fitness in bacteria and plants, as well as sleep and psychological disorders in humans. Plant cell growth requires energy and water-factors that oscillate owing to diurnal environmental changes. Indeed, two important factors controlling stem growth are the internal circadian oscillator and external light levels. However, most circadian studies have been performed in constant conditions, precluding mechanistic study of interactions between the clock and diurnal variation in the environment. Studies of stem elongation in diurnal conditions have revealed complex growth patterns, but no mechanism has been described. Here we show that the growth phase of Arabidopsis seedlings in diurnal light conditions is shifted 8-12 h relative to plants in continuous light, and we describe a mechanism underlying this environmental response. We find that the clock regulates transcript levels of two basic helix-loop-helix genes, phytochrome-interacting factor 4 (PIF4) and PIF5, whereas light regulates their protein abundance. These genes function as positive growth regulators; the coincidence of high transcript levels (by the clock) and protein accumulation (in the dark) allows them to promote plant growth at the end of the night. Thus, these two genes integrate clock and light signalling, and their coordinated regulation explains the observed diurnal growth rhythms. This interaction may serve as a paradigm for understanding how endogenous and environmental signals cooperate to control other processes.

Circadian clock orchestration of signaling pathways influences mouse metabolism

Circadian clocks, present in organisms leaving in a rhythmic environment, constitute the mechanisms allowing anticipation and adaptation of behavior and physiology in response to these environmental variations. As a consequence, most aspects of metabolism and behavior are under the control of this circadian clock. At a molecular level, in all the studied species, the rhythmic expression of the genes involved are generated by interconnected transcriptional and translational feedback loops. In mammals, the heterodimer composed of BMAL1 and its partners CLOCK or NPAS2 constitutes a transcriptional activator regulating transcription of Per and Cry genes. These genes encode for repressors of the activity of BMAL1:CLOCK or BMAL1: NPAS2 heterodimers, thus closing a negative feedback loop that generates rhythms of approximately 24 hours. The aim of my doctoral work consisted in the investigation of the role of circadian clock in the regulation of different aspects of mouse metabolism through the rhythmic activation of signaling pathways. First, we showed that one way how the circadian clock exerts its function as an oscillator is through the regulation of mRNA translation. Indeed, we present evidence showing that circadian clock influences the temporal translation of a subset of mRNAs involved in ribosome biogenesis by controlling the transcription of translation initiation factors as well as the clock-dependent rhythmic activation of signaling pathways involved in their regulation. Moreover, the circadian oscillator regulates the transcription of ribosomal protein mRNAs and ribosomal RNAs. Thus the circadian clock exerts a major role in coordinating transcription and translation steps underlying ribosome biogenesis. In the second part, we showed the involvement of the circadian clock in lipid metabolism. Indeed, the three PAR bZip transcription factors DBP, TEF and HLF, are regulated by the molecular clock and play key roles in the control of lipid metabolism. Here we present evidence concerning the circadian expression and activity of PPARα via the circadian transcription of genes involved in the release of fatty acids, natural ligands of PPARα. It leads to the rhythmic activation of PPARα itself which could then play its role in the transcription of genes encoding proteins involved in lipid, cholesterol and glucose metabolism. In addition, we considered the possible role of lipid transporters, here SCP2, in the modulation of circadian activation of signaling pathways such as TORC1, PPARα and SREBP, linked to metabolism, and its feedback on the circadian clock. In the last part of this work, we studied the effects of these circadian clock-orchestrated pathways in physiology, as clock disruptions have been shown to be linked to metabolic disorders. We performed in vivo experiments on genetically and high-fat induced obese mice devoid of functional circadian clock. The results obtained showed that clock disruption leads to impaired triglycerides and glucose homeostasis in addition to insulin secretion and sensitivity. -- Les rythmes circadiens, présents chez tout organisme vivant dans un environnement rythmique, constituent l'ensemble de mécanismes permettant des réponses comportementales et physiologiques anticipées et adaptées aux variations environnementales. De ce fait, la plupart des aspects liés au métabolisme et au comportement de ces organismes apparaissent être sous le contrôle de l'horloge circadienne contrôlant ces rythmes. Au niveau moléculaire, dans toutes les espèces étudiées, l'expression rythmique de gènes impliqués sont générés par l'interconnexion de boucles de contrôle transcriptionnelles et traductionnelles. Chez les mammifères, l'hétérodimère composé de BMAL1 et de ses partenaires CLOCK ou NPAS2 constitue un activateur transcriptionnel régulant la transcription des gènes Per et Cry. Ces gènes codent pour des répresseurs de l'activité des hétérodimères BMAL1:CLOCK ou BMAL1:NPAS2. Cela a pour effet de fermer la boucle négative, générant ainsi des rythmes d'environ 24 heures. Le but de mon travail de thèse a consisté en l'investigation du rôle de l'horloge circadienne dans la régulation de certains aspects du métabolisme chez la souris via la régulation de l'activation rythmique des voies de signalisation. Nous avons tout d'abord montré que l'horloge circadienne exerce sa fonction d'oscillateur notamment au niveau de la régulation de la traduction des ARNm. En effet, nous présentons des preuves montrant que l'horloge circadienne influence la traduction temporelle d'un groupe d'ARNm impliqués dans la biogénèse des ribosomes en contrôlant la transcription de facteurs d'initiation de la traduction ainsi que l'activation rythmique des voies de signalisation qui sont impliquées dans leur régulation. De plus, l'oscillateur circadien régule la transcription d'ARNm codant pour les protéines ribosomales et d'ARN ribosomaux. De cette façon, l'horloge circadienne exerce un rôle majeur dans la coordination des étapes de transcription et traduction permettant la biogénèse des ribosomes. Dans la deuxième partie, nous montrons les implications de l'horloge circadienne dans le métabolisme des lipides. En effet, DBP, TEF et HLF, trois facteurs de transcription de la famille des PAR bZip qui sont régulés par l'horloge circadienne, jouent un rôle clé dans le contrôle du métabolisme des lipides par l'horloge circadienne. Nous apportons ici des preuves concernant l'expression et l'activité rythmiques de PPARα via la transcription circadienne de gènes impliqués dans le relargage d'acides gras, ligands naturels de PPARα, conduisant à l'activation circadienne de PPARα lui-même, pouvant ainsi jouer son rôle de facteur de transcription de gènes codant pour des protéines impliquées dans le métabolisme des lipides, du cholestérol et du glucose. De plus, nous nous sommes penchés sur le rôle possible de transporteurs de lipides, ici SCP2, dans la modulation de l'activation circadienne de voies de signalisation, telles que TORC1, PPARα et SREBP, qui sont liées au métabolisme, ainsi que son impact sur l'horloge elle-même. Dans la dernière partie de ce travail, nous avons étudié les effets de l'activation de ces voies de signalisation régulées par l'horloge circadienne dans le contexte physiologique puisqu'il a été montré que la perturbation de l'horloge pouvait être associée à des désordres métaboliques. Pour ce faire, nous avons fait des expériences in vivo sur des souris déficientes pour l'horloge moléculaire pour lesquelles l'obésité est induite génétiquement ou induite par la nourriture riche en lipides. Les résultats que nous obtenons montrent des dérèglements au niveau de l'homéostasie des triglycérides et du glucose ainsi que sur l'expression et la réponse à l'insuline.

Thomas-Fermi theory for atomic nuclei revisited

The recently developed semiclassical variational Wigner-Kirkwood (VWK) approach is applied to finite nuclei using external potentials and self-consistent mean fields derived from Skyrme inter-actions and from relativistic mean field theory. VWK consist s of the Thomas-Fermi part plus a pure, perturbative h 2 correction. In external potentials, VWK passes through the average of the quantal values of the accumulated level density and total en energy as a function of the Fermi energy. However, there is a problem of overbinding when the energy per particle is displayed as a function of the particle number. The situation is analyzed comparing spherical and deformed harmonic oscillator potentials. In the self-consistent case, we show for Skyrme forces that VWK binding energies are very close to those obtained from extended Thomas-Fermi functionals of h 4 order, pointing to the rapid convergence of the VWK theory. This satisfying result, however, does not cure the overbinding problem, i.e., the semiclassical energies show more binding than they should. This feature is more pronounced in the case of Skyrme forces than with the relativistic mean field approach. However, even in the latter case the shell correction energy for e.g.208 Pb turns out to be only ∼ −6 MeV what is about a factor two or three off the generally accepted value. As an adhoc remedy, increasing the kinetic energy by 2.5%, leads to shell correction energies well acceptable throughout the periodic table. The general importance of the present studies for other finite Fermi systems, self-bound or in external potentials, is pointed out.

Equivalent representation form of oscillators with elastic and damping nonlinear terms

In this work we consider the nonlinear equivalent representation form of oscillators that exhibit nonlinearities in both the elastic and the damping terms. The nonlinear damping effects are considered to be described by fractional power velocity terms which provide better predictions of the dissipative effects observed in some physical systems. It is shown that their effects on the system dynamics response are equivalent to a shift in the coefficient of the linear damping term of a Duffing oscillator. Then, its numerical integration predictions, based on its equivalent representation form given by the well-known forced, damped Duffing equation, are compared to the numerical integration values of its original equations of motion. The applicability of the proposed procedure is evaluated by studying the dynamics response of four nonlinear oscillators that arise in some engineering applications such as nanoresonators, microresonators, human wrist movements, structural engineering design, and chain dynamics of polymeric materials at high extensibility, among others

Propriedades espectroscópicas e parâmetros ópticos-eletrônicos dos complexos Ln(NO3)3.2DTPO.4H2O (Ln = Nd e Er)

Complexes with the composition Ln(NO3)3.2DTPO.4H2O (Ln = Nd and Er) were synthesized and characterized by infrared and visible absorption spectra (solid state and solution). The results of the absorption spectra in the solid state suggest that metal-ligand bonds are essentially electrostatic in all complexes. The absorption spectra of the nitrate salt solution presented smaller values of the oscillator strength when compared to the spectra of the complexes in the same solvent.

Pienitaajuinen radiosekoitin

Normaalisti radiovastaanottimet on luokiteltavissa suoriin vastaanottimiin ja superheterodynevastaanottimiin. Jälkimmäistä nimitetään tavallisesti supervastaanottimeksi. Molemman vastaanottimen oleellisiin osiin kuuluu antennin virityspiiri, supervastaanottimelle lisäksi paikallisoskillaattorin virityspiiri, mikä pitää virittää antennipiirin kanssa samanaikaisesti. Pienillä taajuuksilla, taajuudet luokassa kilo-Hertzejä tai pienemmillä, on antennipiirin viritys resonanssipiirin ominaisuuksista johtuen sitä kapeammalla kaistalla ja sitä hitaampaa mitä pienemmällä taajuudella vastaanotto tapahtuu. Lisäksi virityspiiri hyvyysluku Q on vaikea saada sopivaksi, mikäli viritys on muuten käytännöllinen, säädettävä resonanssipiiri. Vaadittaessa kiinteätaajuista viritystä on käytännöllistä hyödyntää sähkömekaanisia osia, siis keraamisia tai kvartsikiteitä. Koska kiteitten ja korkean hyvyysluvun piirin värähtely jatkuu useita värähtelyjaksoja ennen saapuneitten värähtelyjen sammumista, kestää myös kauan aikaa, ennen kuin värähtely piirissä on loppu. Pienitaajuinen resonanssipiiri saavuttaa maksimivirtansa hitaasti, jos hyvyysluku on iso, kun piiri alkaa johtaa resonanssitaajuista virtaa. Tässä työssä pyritään vastaanotinjärjestelyyn ongelmallisen, pientaajuisen virityspiirin käytön välttämiseksi. Toisena tavoitteena on saada aikaan vastaanotto siten, että tietty pienitaajuinen radiotaajuusalue voidaan kokonaisuudessaan vastaanottaa jatkuva-aikaisesti, ilman antennipiirin jatkuvaa virittämistä erillisille taajuuksille. Laaditaan kytkentä, joka mitoitetaan, simuloidaan ja mitataan.

Sintonização de estados quânticos: um estudo numérico do oscilador harmônico quântico

The quantum harmonic oscillator is described by the Hermite equation.¹ The asymptotic solution is predominantly used to obtain its analytical solutions. Wave functions (solutions) are quadratically integrable if taken as the product of the convergent asymptotic solution (Gaussian function) and Hermite polynomial,¹ whose degree provides the associated quantum number. Solving it numerically, quantization is observed when a control real variable is "tuned" to integer values. This can be interpreted by graphical reading of Y(x) and |Y(x)|², without other mathematical analysis, and prove useful for teaching fundamentals of quantum chemistry to undergraduates.

Satelliittioskillaattorin jyrsintätyövaiheiden valmistusystävällisyyden analysointi

Tämän tutkimuksen aiheena on satelliittioskillaattorin jyrsintätyövaiheiden valmistusystävällisyyden analysointi. Tutkimuksen viitekehyksenä on DFM (design for manufacturing), johon kaikki päätelmät ja tulokset sidotaan. Tutkimuksen päätavoite on etsiä valmistusteknisiä ratkaisuja, joilla samanaikaisesti parannetaan, sekä oskillaattorin suorituskykyä, että sen valmistettavuutta noudattamalla DFM-sääntöjä. Suorituskyvyn näkökulmasta tärkeintä on oskillaattorin hyvyysluvun maksimointi. Tutkimuksessa käsitellään lyhyesti satelliittioskillaattorin porauksia, pinnoitusta ja asennusta, mutta pääpaino tutkimuksessa on oskillaattorin rungon jyrsintätyövaiheissa. Tässä työssä toteutettiin DFM-analyysi, jonka avulla pystyttiin helpottamaan lukuisia tuotannollisia ongelmia ja onnistuttiin löytämmään keinoja oskillaattorin suorituskyvyn parantamiseksi.