The Kuramoto model: A simple paradigm for synchronization phenomena

Synchronization phenomena in large populations of interacting elements are the subject of intense research efforts in physical, biological, chemical, and social systems. A successful approach to the problem of synchronization consists of modeling each member of the population as a phase oscillator. In this review, synchronization is analyzed in one of the most representative models of coupled phase oscillators, the Kuramoto model. A rigorous mathematical treatment, specific numerical methods, and many variations and extensions of the original model that have appeared in the last few years are presented. Relevant applications of the model in different contexts are also included.

APPRAISAL OF THE SNAP MODEL FOR PREDICTING NITROGEN MINERALIZATION IN TROPICAL SOILS UNDER EUCALYPTUS

The Soil Nitrogen Availability Predictor (SNAP) model predicts daily and annual rates of net N mineralization (NNM) based on daily weather measurements, daily predictions of soil water and soil temperature, and on temperature and moisture modifiers obtained during aerobic incubation (basal rate). The model was based on in situ measurements of NNM in Australian soils under temperate climate. The purpose of this study was to assess this model for use in tropical soils under eucalyptus plantations in São Paulo State, Brazil. Based on field incubations for one month in three, NNM rates were measured at 11 sites (0-20 cm layer) for 21 months. The basal rate was determined in in situ incubations during moist and warm periods (January to March). Annual rates of 150-350 kg ha-1 yr-1 NNM predicted by the SNAP model were reasonably accurate (R2 = 0.84). In other periods, at lower moisture and temperature, NNM rates were overestimated. Therefore, if used carefully, the model can provide adequate predictions of annual NNM and may be useful in practical applications. For NNM predictions for shorter periods than a year or under suboptimal incubation conditions, the temperature and moisture modifiers need to be recalibrated for tropical conditions.

Dynamical properties of the Zhang model of self-organized criticality

Critical exponents of the infinitely slowly driven Zhang model of self-organized criticality are computed for d=2 and 3, with particular emphasis devoted to the various roughening exponents. Besides confirming recent estimates of some exponents, new quantities are monitored, and their critical exponents computed. Among other results, it is shown that the three-dimensional exponents do not coincide with the Bak-Tang-Wiesenfeld [Phys. Rev. Lett. 59, 381 (1987); Phys. Rev. A 38, 364 (1988)] (Abelian) model, and that the dynamical exponent as computed from the correlation length and from the roughness of the energy profile do not necessarily coincide, as is usually implicitly assumed. An explanation for this is provided. The possibility of comparing these results with those obtained from renormalization group arguments is also briefly addressed.

The ability model of emotional intelligence: Searching for valid measures

Current measures of ability emotional intelligence (EI)--including the well-known Mayer-Salovey-Caruso Emotional Intelligence Test (MSCEIT)--suffer from several limitations, including low discriminant validity and questionable construct and incremental validity. We show that the MSCEIT is largely predicted by personality dimensions, general intelligence, and demographics having multiple R's with the MSCEIT branches up to .66; for the general EI factor this relation was even stronger (Multiple R = .76). As concerns the factor structure of the MSCEIT, we found support for four first-order factors, which had differential relations with personality, but no support for a higher-order global EI factor. We discuss implications for employing the MSCEIT, including (a) using the single branches scores rather than the total score, (b) always controlling for personality and general intelligence to ensure unbiased parameter estimates in the EI factors, and (c) correcting for measurement error. Failure to account for these methodological aspects may severely compromise predictive validity testing. We also discuss avenues for the improvement of ability-based tests.

Interleukin-17 is a critical mediator of vaccine-induced reduction of Helicobacter infection in the mouse model.

BACKGROUND & AIMS: Despite the proven ability of immunization to reduce Helicobacter infection in mouse models, the precise mechanism of protection has remained elusive. This study explores the possibility that interleukin (IL)-17 plays a role in the reduction of Helicobacter infection following vaccination of wild-type animals or in spontaneous reduction of bacterial infection in IL-10-deficient mice. METHODS: In mice, reducing Helicobacter infection, the levels and source of IL-17 were determined and the role of IL-17 in reduction of Helicobacter infection was probed by neutralizing antibodies. RESULTS: Gastric IL-17 levels were strongly increased in mice mucosally immunized with urease plus cholera toxin and challenged with Helicobacter felis as compared with controls (654 +/- 455 and 34 +/- 84 relative units for IL-17 messenger RNA expression [P < .01] and 6.9 +/- 8.4 and 0.02 +/- 0.04 pg for IL-17 protein concentration [P < .01], respectively). Flow cytometry analysis showed that a peak of CD4(+)IL-17(+) T cells infiltrating the gastric mucosa occurred in immunized mice in contrast to control mice (4.7% +/- 0.3% and 1.4% +/- 0.3% [P < .01], respectively). Gastric mucosa-infiltrating CD4(+)IL-17(+) T cells were also observed in IL-10-deficient mice that spontaneously reduced H felis infection (4.3% +/- 2.3% and 2% +/- 0.6% [P < .01], for infected and noninfected IL-10-deficient mice, respectively). In wild-type immunized mice, intraperitoneal injection of anti-IL-17 antibodies significantly inhibited inflammation and the reduction of Helicobacter infection in comparison with control antibodies (1 of 12 mice vs 9 of 12 mice reduced Helicobacter infection [P < .01], respectively). CONCLUSIONS: IL-17 plays a critical role in the immunization-induced reduction of Helicobacter infection from the gastric mucosa.

The neuroanatomical model of post-stroke depression: towards a change of focus?

One third of all stroke survivors develop post-stroke depression (PSD). Depressive symptoms adversely affect rehabilitation and significantly increase risk of death in the post-stroke period. One of the theoretical views on the determinants of PSD focuses on psychosocial factors like disability and social support. Others emphasize biologic mechanisms such as disruption of biogenic amine neurotransmission and release of proinflammatory cytokines. The "lesion location" perspective attempts to establish a relationship between localization of stroke and occurrence of depression, but empirical results remain contradictory. These divergences are partly related to the fact that neuroimaging methods, unlike neuropathology, are not able to assess precisely the full extent of stroke-affected areas and do not specify the different types of vascular lesions. We provide here an overview of the known phenomenological profile and current pathogenic hypotheses of PSD and present neuropathological data challenging the classic "single-stroke"-based neuroanatomical model of PSD. We suggest that vascular burden due to the chronic accumulation of small macrovascular and microvascular lesions may be a crucial determinant of the development and evolution of PSD.

Electric dipole polarizability in 208Pb: insights from the droplet model

We study the electric dipole polarizability α D in 208 Pb based on the predictions of a large and representative set of relativistic and nonrelativistic nuclear mean-field models. We adopt the droplet model as a guide to better understand the correlations between α D and other isovector observables. Insights from the droplet model suggest that the product of α D and the nuclear symmetry energy at saturation density J is much better correlated with the neutron skin thickness r np of 208 Pb than the polarizability alone. Correlations of α D J with r np and with the symmetry energy slope parameter L suggest that α D J is a strong isovector indicator. Hence, we explore the possibility of constraining the isovector sector of the nuclear energy density functional by comparing our theoretical predictions against measurements of both α D and the parity-violating asymmetry in 208 Pb. We find that the recent experimental determination of α D in 208 Pb in combination with the range for the symmetry energy at saturation density J = [31 ± (2) est] MeV suggests r np (208 Pb) = 0 . 165 ± (0 . 009) expt ± (0 . 013) theor ± (0.021) est fm and L = 43 ± (6) expt ± (8) theor ± (12) est MeV

Neuronal expression of the ubiquitin ligase Nedd4-2 in rat dorsal root ganglia: modulation in the SNI model of neuropathic pain

La douleur neuropathique est une forme de douleur chronique apparaissant suite à des lésions du système nerveux somato-sensoriel. Caractérisée par une plasticité neuronale inadapté, elle est très souvent intense, invalidante, associe des symptômes comme l'allodynie ou l' hyperalgésie et reste difficile à traiter avec les agents thérapeutiques actuels. Le thème de mon travail de thèse se concentre sur des mécanismes moléculaires de modulation des canaux sodiques voltage-dépendants suite à une lésion du nerf périphérique. Dans l'article présenté en annexe, j'ai focalisé mon travail sur une protéine, Nedd4-2, qui est une ligase ubiquitine. Elle a pour rôle de réguler et d'internaliser dans la cellule des protéines membranaires dont les canaux sodiques. Suite aux lésions du système nerveux périphérique, il existe une hyperexcitabilité neuronale engendrée notamment par un surplus et une dysrégulation des canaux sodiques à la membrane cellulaire. Dans 1 'hypothèse que l'ubiquitine ligase Nedd4-2 soit présente dans les neurones sensitifs primaires et ait un rôle dans la régulation des canaux sodiques, nous avons identifié cette protéine dans les neurones nociceptifs primaires du rat. En utilisant des techniques de Western Blot et d'immunohistochimie, j'ai trouvé que Nedd4-2 est présente dans presque 50% des neurones du ganglion spinal et ces neurones sont principalement des neurones nociceptifs. Dans un modèle expérimental de douleur neuropathique (SN I, pour spared nerve injury), Nedd4-2 se retrouve significativement diminuée dans le tissu du ganglion spinal. J'ai également investigué 1' expression de 2 isoformes des canaux sodiques connues pour leur implication dans la douleur, Navl.7 et Navl.8, et ces 2 isoformes se retrouvent dans les mêmes neurones que Nedd4-2. La caractérisation détaillée est décrite dans le manuscrit: «Neuronal expression of the ubiquitin ligase Nedd4-2 in rat dorsal root ganglia: modulation in the SNI model of neuropathic pain; Cachemaille M, Laedermann CJ, Pertin M, Abriel H, Gasselin RD, Decosterd 1.» Les résultats obtenus indiquent que Nedd4-2, en étant downrégulé après une lésion nerveuse, pourrait ainsi contribuer à une augmentation des canaux sodiques fonctionnels à la membrane. Ainsi Nedd4-2 pourrait être proposée comme cible thérapeutique de manière alternative aux bloqueurs de canaux sodiques. Ce travail a permis l'initiation d'autres expériences. J'ai contribué activement à la construction de vecteurs viraux type adéno-associé recombinant (rAA V2/6) et surexprimé la protéine in vivo dans les ganglions spinaux. Cette partie de mon travail se trouve intégrée dans d'autres travaux de mon laboratoire d'accueil qui a pu démontrer les effets fonctionnels de cette approche sur les courants sodiques enregistrés par électrophysiologie et une diminution de la douleur neuropathique chez la souris. - Abstract-Neuronal hyperexcitability following peripheral nerve lesions may stem from altered activity of voltagegated sodium channels (VGSCs), which gives rise toallodynia or hyperalgesia. In vitro, the ubiquitin ligase Nedd4-2 is a negative regulator of VGSC a-subunits (Nav), in particular Nav1.7, a key actor in nociceptor excitability. We therefore studied Nedd4-2 in rat nociceptors, its co-expression with Nav1.7 and Nav1.8, and its regulation in pathology. Adult rats were submitted to the spared nerve injury (SNI) model of neuropathic pain or injected with complete Freund's adjuvant (CFA), a model of inflammatory pain. L4 dorsal root ganglia (DRG) were analyzed in shamoperated animals, seven days after SNI and 48 h after CFA with immunofluorescence and Western blot. We observed Nedd4-2 expression in almost 50% of DRG neurons, mostly small and medium-sized. A preponderant localization is found in the non-peptidergic sub-population. Additionally, 55.7± 2.7% and 55.0 ±3.6% of Nedd4-2-positive cells are co-labeled with Nav1.7 and Nav1.8 respectively. SNI significantly decreases the proportion of Nedd4-2-positive neurons from 45.9± 1.9% to 33.5± 0.7% (p < 0.01) and the total Nedd4-2 protein to 44%± 0.13% of its basal level (p <0.01, n = 4 animals in each group, mean± SEM). In contrast, no change in Nedd4-2 was found after peripheral inflammation induced by CFA. These results indicate that Nedd4-2 is present in nociceptive neurons, is downregulated after peripheral nerve injury, and might therefore contribute to the dysregulation of Navs involved in the hyperexcitability associated with peripheral nerve injuries.