Variational analysis of the Gross-Neveu model in an S^1 space

The Gross-Neveu model in an S^1 space is analyzed by means of a variational technique: the Gaussian effective potential. By making the proper connection with previous exact results at finite temperature, we show that this technique is able to describe the phase transition occurring in this model. We also make some remarks about the appropriate treatment of Grassmann variables in variational approaches.

Slow dynamis in the 3D gonihedric model

We provide analytical evidence of stochastic resonance in polarization switching vertical-cavity surface-emitting lasers (VCSELs). We describe the VCSEL by a two-mode stochastic rate equation model and apply a multiple time-scale analysis. We were able to reduce the dynamical description to a single stochastic differential equation, which is the starting point of the analytical study of stochastic resonance. We confront our results with numerical simulations on the original rate equations, validating the use of a multiple time-scale analysis on stochastic equations as an analytical tool.

Chaotic, memory, and cooling rate effects in spin glasses: Evaluation of the Edwards-Anderson model

We investigate chaotic, memory, and cooling rate effects in the three-dimensional Edwards-Anderson model by doing thermoremanent (TRM) and ac susceptibility numerical experiments and making a detailed comparison with laboratory experiments on spin glasses. In contrast to the experiments, the Edwards-Anderson model does not show any trace of reinitialization processes in temperature change experiments (TRM or ac). A detailed comparison with ac relaxation experiments in the presence of dc magnetic field or coupling distribution perturbations reveals that the absence of chaotic effects in the Edwards-Anderson model is a consequence of the presence of strong cooling rate effects. We discuss possible solutions to this discrepancy, in particular the smallness of the time scales reached in numerical experiments, but we also question the validity of the Edwards-Anderson model to reproduce the experimental results.

The mean-variance model from the inverse of the variance-covariance matrix

En este artículo, a partir de la inversa de la matriz de varianzas y covarianzas se obtiene el modelo Esperanza-Varianza de Markowitz siguiendo un camino más corto y matemáticamente riguroso. También se obtiene la ecuación de equilibrio del CAPM de Sharpe.

What uses are mating types? The "developmental switch" model.

Why mating types exist at all is subject to much debate. Among hypotheses, mating types evolved to control organelle transmission during sexual reproduction, or to prevent inbreeding or same-clone mating. Here I review data from a diversity of taxa (including ciliates, algae, slime molds, ascomycetes, and basidiomycetes) to show that the structure and function of mating types run counter the above hypotheses. I argue instead for a key role in triggering developmental switches. Genomes must fulfill a diversity of alternative programs along the sexual cycle. As a haploid gametophyte, an individual may grow vegetatively (through haploid mitoses), or initiate gametogenesis and mating. As a diploid sporophyte, similarly, it may grow vegetatively (through diploid mitoses) or initiate meiosis and sporulation. Only diploid sporophytes (and not haploid gametophytes) should switch on the meiotic program. Similarly, only haploid gametophytes (not sporophytes) should switch on gametogenesis and mating. And they should only do so when other gametophytes are ready to do the same in the neighborhood. As argued here, mating types have evolved primarily to switch on the right program at the right moment.

The personality profile of borderline personality disordered patients using the five-factor model of personality

The purpose of this ex post facto study is to analyze the personality profile of outpatients who met criteria for borderline personality disorder according to the Five-Factor Model of personality. All patients (N = 52) completed the International Personality Disorder Examination (IPDE) Screening Questionnaire, the Big Five Questionnaire (BFQ), the Beck Depression Inventory (BDI), and the Beck Hopelessness Scale (BHS). The results show a high comorbidity with other DSM-IV-TR Axis II disorders, in particular with those from Cluster C. The BFQ average score indicates that the outpatients who met borderline criteria score lower than controls on all five dimensions, and especially on emotional stability. Correlations were computed between the BFQ and the IPDE scales in our sample. These results suggest that specific personality profile are linked to different comorbidity patterns. More than a half of our sample has clinically significant scores on Beck's scales. Surprisingly, depression and hopelessness are neither correlated with the borderline scale, nor have an effect in the relationship between personality and personality disorders.

Calibration and application of the MN2D dynamics model to the avalanches of Las Leñas (Argentina)

During the winters of 1999 and 2000 large avalanches occurred in the ski resort of Las Leñas (Los Andes, Mendoza, Argentina). On 8 September 1999 an avalanche of new, dry snow ran over a path with a 1000 m vertical drop. On 30 June and on 1 July 2000 five avalanches of similar vertical drop, which start with new snow, entrained very wet snow during their descent, and evolved into dense snow avalanches. To use the MN2D dynamics model correctly, calibration of model parameters is necessary. Also, no previous works with the use of dynamics models exist in South America. The events used to calibrate the model occurred during the winters of 1999 and 2000 and are a good sample of the kind of avalanches which can occur in this area of the Andes range. By considering the slope morphology and topography, the snow and meteorological conditions and the results of the model simulations, it was estimated that these avalanches were not extreme events with a return period greater than one hundred years. This implies that, in natural conditions, bigger, extreme avalanches could happen. In this work, the MN2D dynamics model is calibrated with two different avalanches of the same magnitude: dry and wet. The importance of the topographic data in the simulation is evaluated. It is concluded that MN2D dynamics model can be used to simulate dry extreme avalanches in Argentinean Andes but not to simulate extreme wet avalanches, which are much more sensitive to the topography.

Sex-chromosome turnovers: the hot-potato model.

Abstract Sex-determining systems often undergo high rates of turnover but for reasons that remain largely obscure. Two recent evolutionary models assign key roles, respectively, to sex-antagonistic (SA) mutations occurring on autosomes and to deleterious mutations accumulating on sex chromosomes. These two models capture essential but distinct key features of sex-chromosome evolution; accordingly, they make different predictions and present distinct limitations. Here we show that a combination of features from the two models has the potential to generate endless cycles of sex-chromosome transitions: SA alleles accruing on a chromosome after it has been co-opted for sex induce an arrest of recombination; the ensuing accumulation of deleterious mutations will soon make a new transition ineluctable. The dynamics generated by these interactions share several important features with empirical data, namely, (i) that patterns of heterogamety tend to be conserved during transitions and (ii) that autosomes are not recruited randomly, with some chromosome pairs more likely than others to be co-opted for sex.

The L-Type Ca2+ and KATP channels may contribute to pacing-induced protection against anoxia-reoxygenation in the embryonic heart model

Rapport de synthèse : Implication des canaux Ca2+ de type L et des canaux KATP dans la protection induite par pacing dans un modèle de coeur embryonnaire soumis à l'anoxieréoxygénation. Contexte et but : le canal Ca2+ de type L, les canaux K+ du sarcolemme (sarcKatp) et de la mitochondrie (mitoKatp) interviennent dans le préconditionnement ischémique ou pharmacologique du myocarde. La présente étude cherche à déterminer dans quelle mesure ces canaux peuvent aussi jouer un rôle dans la cardioprotection induite par pacing. Méthodes :des coeurs d'embryons de poulet âgés de 4 jours ont été soumis in ovo à un pacing durant 12 heures, en pratiquant une stimulation électrique ventriculaire asynchrone intermittente à 110% de la fréquence cardiaque intrinsèque. Les coeurs contrôles (sham) et les coeurs stimulés ont ensuite été soumis in vitro à une période d'anoxie de 30 minutes, suivie d'une réoxygénation de 60 minutes. Les coeurs ont été exposés à l'agoniste du canal Ca2+ de type L (Bay-K-8644, BAY-K) ou à son bloqueur (vérapamil, VERAP), à l'antagoniste non sélectif des canaux KATP (glibenclamide, GLIB), ainsi qu'à l'agoniste du canal mitoKATP (diazoxide, DIAZO), ou à son antagoniste (5-hydroxydécanoate, 5-HD). L'électrocardiogramme, le délai électro-mécanique (DEM) reflétant le couplage excitation-contraction, ainsi que la contractilité myocardique ont été systématiquement déterminés pendant l'anoxieréoxygénation. Résultats : en normoxie, la fréquence cardiaque, l'intervalle QT, la conduction atrioventriculaire, le DEM et le raccourcissement ventriculaires étaient identiques dans les coeurs sham et les coeurs stimulés. Par contre, au cours de la réoxygénation post-anoxique, les arythmies cessaient plus précocément et le DEM ventriculaire retrouvait plus rapidement son niveau initial dans les coeurs stimulés, comparés aux sham. Dans les coeurs sham, BAY-K (mais pas le VERAP), DIAZO (mais pas le 5HD) ou GLIB accéléraient la récupération du DEM ventriculaire, reproduisant ainsi la protection induite par le pacing. En revanche, aucun de ces agents n'affectait la récupération des cceurs stimulés. Conclusion : un pacing ventriculaire chronique et intermittent délivré à une fréquence quasi physiologique améliore la tolérance myocardique à une anoxie-réoxygénation ultérieure. L'approche pharmacologique amontré qu'une activation discrète du canal Ca2+ de type L, une inhibition du canal sarcKATP et/ou une ouverture du canal mitoKATP peuvent contribuer à la cardioprotection induite par le pacing.

Adapting football to the child: an application of the logistic regression model in observational mewthodology.

Logistic regression is included into the analysis techniques which are valid for observationalmethodology. However, its presence at the heart of thismethodology, and more specifically in physical activity and sports studies, is scarce. With a view to highlighting the possibilities this technique offers within the scope of observational methodology applied to physical activity and sports, an application of the logistic regression model is presented. The model is applied in the context of an observational design which aims to determine, from the analysis of use of the playing area, which football discipline (7 a side football, 9 a side football or 11 a side football) is best adapted to the child"s possibilities. A multiple logistic regression model can provide an effective prognosis regarding the probability of a move being successful (reaching the opposing goal area) depending on the sector in which the move commenced and the football discipline which is being played.

Deleterious Actions Of Vegf On The Blood Retinal Barrier And Photoreceptor Survival In The Light-damage Model

Purpose: The retinal balance between pro- and anti-angiogenic factors is critical for angiogenesis control, but is also involved in cell survival. We previously reported upregulation of VEGF and photoreceptor (PR) cell death in the Light-damage (LD) model. Preliminary results showed that anti-VEGF can rescue PR from cell death. Thus, we investigated the role of VEGF on the retina and we herein described the effect of anti-VEGF antibody delivered by lentiviral gene transfer in this model.Methods: To characterize the action of VEGF during the LD, we exposed Balb/c mice subretinally injected with LV-anti-VEGF, or not, to 5'000 lux for 1h. We next evaluated the retinal function, PR survival and protein expression (VEGF, VEGFR1/2, Src, PEDF, p38MAPK, Akt, Peripherin, SWL-opsin) after LD. We analyzed Blood retinal barrier (BRB) integrity on flat-mounted RPE and cryosections stained with β-catenin, ZO-1, N-cadherin and albumin.Results: Results indicate that the VEGF pathway is modulated after LD. LD leads to extravascular albumin leakage and BRB breakdown: β-catenin, ZO-1 and N-cadherin translocate to the cytoplasm of RPE cells showing loss of cell cohesion. This phenomenon is in adequacy with the VEGF time-course expression. Assessment of the retinal function reveals that PR rescue correlates with the level of LV-anti-VEGF expression. Rhodopsin content was higher in the LV-anti-VEGF group than in controls and measures of the ONL thickness indicate that LV-anti-VEGF preserves by 82% the outer nuclear layer from degeneration. Outer segments (OS) appeared well organized with an appropriate length in the LV-anti-VEGF group compared to controls, and the expression of SWL-opsin is maintained in the OS without being mislocalized as in the LV-GFP group. Finally, LV-anti-VEGF treatment prevents BRB breakdown and maintained RPE cell integrity.Conclusions: This study involves VEGF in LD and highlights the prime importance of the BRB integrity for PR survival. Taken together, these results show that anti-VEGF is neuroprotective in this model and maintains functional PR layer in LD-treated mice.