Cosmological term and fundamental physics

A nonvanishing cosmological term in Einstein's equations implies a nonvanishing spacetime curvature even in the absence of any kind of matter. It would, in consequence, affect many of the underlying kinematic tenets of physical theory. The usual commutative spacetime translations of the Poincare group would be replaced by the mixed conformal translations of the de Sitter group, leading to obvious alterations in elementary concepts such as time, energy and momentum. Although negligible at small scales, such modifications may come to have important consequences both in the large and for the inflationary picture of the early Universe. A qualitative discussion is presented, which suggests deep changes in Hamiltonian, Quantum and Statistical Mechanics. In the primeval universe as described by the standard cosmological model, in particular, the equations of state of the matter sources could be quite different from those usually introduced.

Chemical potential and the nature of dark energy: The case of a phantom field

The influence of a possible nonzero chemical potential mu on the nature of dark energy is investigated by assuming that the dark energy is a relativistic perfect simple fluid obeying the equation of state, p=omega rho (omega < 0, constant). The entropy condition, S >= 0, implies that the possible values of omega are heavily dependent on the magnitude, as well as on the sign of the chemical potential. For mu > 0, the omega parameter must be greater than -1 (vacuum is forbidden) while for mu < 0 not only the vacuum but even a phantomlike behavior (omega <-1) is allowed. In any case, the ratio between the chemical potential and temperature remains constant, that is, mu/T=mu(0)/T(0). Assuming that the dark energy constituents have either a bosonic or fermionic nature, the general form of the spectrum is also proposed. For bosons mu is always negative and the extended Wien's law allows only a dark component with omega <-1/2, which includes vacuum and the phantomlike cases. The same happens in the fermionic branch for mu < 0. However, fermionic particles with mu > 0 are permitted only if -1

Black hole formation with an interacting vacuum energy density

We discuss the gravitational collapse of a spherically symmetric massive core of a star in which the fluid component is interacting with a growing vacuum energy density. The influence of the variable vacuum in the collapsing core is quantified by a phenomenological beta parameter as predicted by dimensional arguments and the renormalization group approach. For all reasonable values of this free parameter, we find that the vacuum energy density increases the collapsing time, but it cannot prevent the formation of a singular point. However, the nature of the singularity depends on the value of beta. In the radiation case, a trapped surface is formed for beta <= 1/2, whereas for beta >= 1/2, a naked singularity is developed. In general, the critical value is beta = 1-2/3(1 + omega) where omega is the parameter describing the equation of state of the fluid component.

Mechanisms of translation regulation in long-term synaptic plasticity

Les souvenirs sont encodés dans le cerveau grâce aux configurations uniques de vastes réseaux neuronaux. Chaque connexion dans ces circuits est apte à être modifiée. Ces changements durables s’opèrent au niveau des synapses grâce à une synthèse de protéines de novo et génèrent ce qu’on nomme des traces mnésiques. Plusieurs preuves indiquent que, dans certaines formes de plasticité synaptique à long terme, cette synthèse a lieu dans les dendrites près des synapses activées plutôt que dans le corps cellulaire. Cependant, les mécanismes qui régulent cette traduction de protéines demeurent encore nébuleux. La phase d’initiation de la traduction est une étape limitante et hautement régulée qui, selon plusieurs chercheurs, constitue la cible principale des mécanismes de régulation de la traduction dans la plasticité synaptique à long terme. Le présent projet de recherche infirme cette hypothèse dans une certaine forme de plasticité synaptique, la dépression à long terme dépendante des récepteurs métabotropiques du glutamate (mGluR-LTD). À l’aide d’enregistrements électrophysiologiques de neurones hippocampiques en culture couplés à des inhibiteurs pharmacologiques, nous montrons que la régulation de la traduction implique les étapes de l’élongation et de la terminaison et non celle de l’initiation. De plus, nous démontrons grâce à des stratégies de knockdown d’expression d’ARN que la protéine de liaison d’ARNm Staufen 2 joue un rôle déterminant dans la mGluR-LTD induite en cultures. Dans leur ensemble, les résultats de la présente étude viennent appuyer un modèle de régulation de la traduction locale de protéines qui est indépendante de l’initiation.

Constraints from the old quasar APM 08279+5255 on two classes of Lambda(t)-cosmologies

The viability of two different classes of Lambda(t)CDM cosmologies is tested by using the APM 08279+5255, an old quasar at redshift z = 3.91. In the first class of models, the cosmological term scales as Lambda(t) similar to R(-n). The particular case n = 0 describes the standard Lambda CDM model whereas n = 2 stands for the Chen and Wu model. For an estimated age of 2 Gyr, it is found that the power index has a lower limit n > 0.21, whereas for 3 Gyr the limit is n > 0.6. Since n can not be so large as similar to 0.81, the Lambda CDM and Chen and Wu models are also ruled out by this analysis. The second class of models is the one recently proposed by Wang and Meng which describes several Lambda(t)CDM cosmologies discussed in the literature. By assuming that the true age is 2 Gyr it is found that the epsilon parameter satisfies the lower bound epsilon > 0.11 while for 3 Gyr, a lower limit of epsilon > 0.52 is obtained. Such limits are slightly modified when the baryonic component is included.

The ubiquitin-proteasome system is necessary for long-term synaptic depression in Aplysia.

The neuropeptide Phe-Met-Arg-Phe-NH(2) (FMRFa) can induce transcription-dependent long-term synaptic depression (LTD) in Aplysia sensorimotor synapses. We investigated the role of the ubiquitin-proteasome system and the regulation of one of its components, ubiquitin C-terminal hydrolase (ap-uch), in LTD. LTD was sensitive to presynaptic inhibition of the proteasome and was associated with upregulation of ap-uch mRNA and protein. This upregulation appeared to be mediated by CREB2, which is generally regarded as a transcription repressor. Binding of CREB2 to the promoter region of ap-uch was accompanied by histone hyperacetylation, suggesting that CREB2 cannot only inhibit but also promote gene expression. CREB2 was phosphorylated after FMRFa, and blocking phospho-CREB2 blocked LTD. In addition to changes in the expression of ap-uch, the synaptic vesicle-associated protein synapsin was downregulated in LTD in a proteasome-dependent manner. These results suggest that proteasome-mediated protein degradation is engaged in LTD and that CREB2 may act as a transcription activator under certain conditions.

Beta 1-integrins are required for hippocampal AMPA receptor-dependent synaptic transmission, synaptic plasticity, and working memory.

Integrins comprise a large family of cell adhesion receptors that mediate diverse biological events through cell-cell and cell-extracellular matrix interactions. Recent studies have shown that several integrins are localized to synapses with suggested roles in synaptic plasticity and memory formation. We generated a postnatal forebrain and excitatory neuron-specific knock-out of beta1-integrin in the mouse. Electrophysiological studies demonstrated that these mutants have impaired synaptic transmission through AMPA receptors and diminished NMDA receptor-dependent long-term potentiation. Despite the impairment in hippocampal synaptic transmission, the mutants displayed normal hippocampal-dependent spatial and contextual memory but were impaired in a hippocampal-dependent, nonmatching-to-place working memory task. These phenotypes parallel those observed in animals carrying knock-outs of the GluR1 (glutamate receptor subunit 1) subunit of the AMPA receptor. These observations suggest a new function of beta1-integrins as regulators of synaptic glutamate receptor function and working memory.

The ubiquitin-proteasome system is necessary for long-term synaptic depression in Aplysia.

The neuropeptide Phe-Met-Arg-Phe-NH(2) (FMRFa) can induce transcription-dependent long-term synaptic depression (LTD) in Aplysia sensorimotor synapses. We investigated the role of the ubiquitin-proteasome system and the regulation of one of its components, ubiquitin C-terminal hydrolase (ap-uch), in LTD. LTD was sensitive to presynaptic inhibition of the proteasome and was associated with upregulation of ap-uch mRNA and protein. This upregulation appeared to be mediated by CREB2, which is generally regarded as a transcription repressor. Binding of CREB2 to the promoter region of ap-uch was accompanied by histone hyperacetylation, suggesting that CREB2 cannot only inhibit but also promote gene expression. CREB2 was phosphorylated after FMRFa, and blocking phospho-CREB2 blocked LTD. In addition to changes in the expression of ap-uch, the synaptic vesicle-associated protein synapsin was downregulated in LTD in a proteasome-dependent manner. These results suggest that proteasome-mediated protein degradation is engaged in LTD and that CREB2 may act as a transcription activator under certain conditions.

Depolarization-dependent synaptic potentiation and hyperexcitability induced by a Ca2+-independent trigger

Despite vast research efforts since Cajal's seminal thoughts on the adaptation of the nervous system, researchers have only recently begun to understand the diversity of forms of neuronal plasticity and its mechanisms. All known forms of activity-dependent neuronal plasticity utilize alterations in [Ca 2+]i as a signal of changes in the membrane voltage. Ca 2+ sensors trigger modifications in excitability or synaptic strength that last from seconds to weeks and presumably years. Intriguingly, Kunjilwar et al., (unpublished observations) discovered in peripheral sensory axons of Aplysia that the induction of depolarization-dependent long-term axonal hyperexcitability does not require Ca2+ transients. Here we show that induction of depolarization-dependent intermediate-term and long-term synaptic potentiation in Aplysia occurs in conditions that prevent Ca2+ entry through voltage-gated channels and elevation of [Ca2+]i. We found that the intermediate-term synaptic potentiation induced under conditions expected to prevent Ca 2+ transients is associated with increased excitability of sensory neuron axons near presynaptic terminals, suggesting that the synaptic potentiation involves a presynaptic locus. The Ca2+-independent intermediate- and long-term synaptic potentiation appeared similar to previously reported Ca2+-dependent modifications in Aplysia. ^

The cGMP -PKG pathway is critical for inducing long-term sensitization of identified nociceptive sensory neurons

In various species, peripheral injury produces long-lasting sensitization of central and peripheral neurons representing the affected area. In Aplysia, memory-like traces (lasting days or weeks) of noxious peripheral stimulation include enhancement of central synaptic transmission and enhanced excitability of the central soma and peripheral branches of nociceptive sensory neurons. An important role for the cAMP-PKA-CREB pathway in consolidating long-term memory and inducing transcription-dependent synaptic potentiation has also been indicated by studies in rodents and Drosophila. ^ Much less attention has been paid to the cGMP-PKG pathway for transcription-dependent plasticity. Nevertheless, the cGMP-PKG pathway has been implicated in activity-dependent neural alterations lasting hours, and may trigger some forms of persistent pain. Recent evidence indicates PKG can regulate gene expression in the brain and several properties make it an attractive candidate for inducing long-term memories. ^ This dissertation reports that brief, noxious stimulation of a behaving, semi-intact preparation from mollusc, Aplysia californica, produces transcription-dependent, long-term hyperexcitability (LTH) of nociceptive sensory neurons that requires a nitric oxide (NO)-cGMP-protein kinase G (PKG) pathway and which lasts for at least 24 hours. Intracellular injection of cGMP is sufficient to induce LTH. Similarly, body wall injury induces LTH which can be blocked with specific inhibitors of the NO-cGMP-PKG pathway such as L-NMMA, ODQ, Rp-8-cGMPS, PKI-G and KT5823 by isolated perfusion of pleural ganglion sensory cells in or directly by intracellular injection. In contrast, specific inhibitors of the cAMP-PKA pathway (Rp-8-cAMPS, PKI-A and H-89) failed to block injury-induced LTH. Interestingly, co-injection of the cAMP-responsive element (CRE) blocked the induction of both cAMP and injury-induced LTH, but not cGMP-induced LTH. Furthermore, co-injection of cAMP and cGMP with the Ca2+ buffer BAPTA in reduced Ca2+ seawater blocked cAMP-, but not cGMP-induced LTH. These findings demonstrate that the NO-cGMP-PKG pathway and at least one other pathway (perhaps mediated by Ca2+), but not the cAMP-PKA pathway, are critical for inducing LTH during transient, noxious stimulation.^

Does the MK2-dependent production of TNFα regulate mGluR-dependent synaptic plasticity?

The molecular mechanisms and signalling cascades that trigger the induction of group I metabotropic glutamate receptor (GI-mGluR)-dependent long-term depression (LTD) have been the subject of intensive investigation for nearly two decades. The generation of genetically modified animals has played a crucial role in elucidating the involvement of key molecules regulating the induction and maintenance of mGluR-LTD. In this review we will discuss the requirement of the newly discovered MAPKAPK-2 (MK2) and MAPKAPK-3 (MK3) signalling cascade in regulating GI-mGluR-LTD. Recently, it has been shown that the absence of MK2 impaired the induction of GI-mGluR-dependent LTD, an effect that is caused by reduced internalization of AMPA receptors (AMPAR). As the MK2 cascade directly regulates tumour necrosis factor alpha (TNFα) production, this review will examine the evidence that the release of TNFα acts to regulate glutamate receptor expression and therefore may play a functional role in the impairment of GI-mGluRdependent LTD and the cognitive deficits observed in MK2/3 double knockout animals. The strong links of increased TNFα production in both aging and neurodegenerative disease could implicate the action of MK2 in these processes.

Implication de Syngap1 dans la transmission GABAergique et la plasticité synaptique

La déficience intellectuelle affecte de 1 à 3% de la population mondiale, ce qui en fait le trouble cognitif le plus commun de l’enfance. Notre groupe à découvert que des mutations dans le gène SYNGAP1 sont une cause fréquente de déficience intellectuelle non-syndromique, qui compte pour 1-3% de l’ensemble des cas. À titre d’exemple, le syndrome du X fragile, qui est la cause monogénique la plus fréquente de déficience intellectuelle, compte pour environ 2% des cas. Plusieurs patients affectés au niveau de SYNGAP1 présentent également des symptômes de l’autisme et d’une forme d’épilepsie. Notre groupe a également montré que SYNGAP1 cause la déficience intellectuelle par un mécanisme d’haploinsuffisance. SYNGAP1 code pour une protéine exprimée exclusivement dans le cerveau qui interagit avec la sous-unité GluN2B des récepteurs glutamatergique de type NMDA (NMDAR). SYNGAP1 possède une activité activatrice de Ras-GTPase qui régule négativement Ras au niveau des synapses excitatrices. Les souris hétérozygotes pour Syngap1 (souris Syngap1+/-) présentent des anomalies de comportement et des déficits cognitifs, ce qui en fait un bon modèle d’étude. Plusieurs études rapportent que l’haploinsuffisance de Syngap1 affecte le développement cérébral en perturbant l’activité et la plasticité des neurones excitateurs. Le déséquilibre excitation/inhibition est une théorie émergente de l’origine de la déficience intellectuelle et de l’autisme. Cependant, plusieurs groupes y compris le nôtre ont rapporté que Syngap1 est également exprimé dans au moins une sous-population d’interneurones GABAergiques. Notre hypothèse était donc que l’haploinsuffisance de Syngap1 dans les interneurones contribuerait en partie aux déficits cognitifs et au déséquilibre d’excitation/inhibition observés chez les souris Syngap1+/-. Pour tester cette hypothèse, nous avons généré un modèle de souris transgéniques dont l’expression de Syngap1 a été diminuée uniquement dans les interneurones dérivés des éminences ganglionnaires médianes qui expriment le facteur de transcription Nkx2.1 (souris Tg(Nkx2,1-Cre);Syngap1). Nous avons observé une diminution des courants postsynaptiques inhibiteurs miniatures (mIPSCs) au niveau des cellules pyramidales des couches 2/3 du cortex somatosensoriel primaire (S1) et dans le CA1 de l’hippocampe des souris Tg(Nkx2,1-Cre);Syngap1. Ces résultats supportent donc l’hypothèse selon laquelle la perte de Syngap1 dans les interneurones contribue au déséquilibre d’excitation/inhibition. De manière intéressante, nous avons également observé que les courants postsynaptiques excitateurs miniatures (mEPSCs) étaient augmentés dans le cortex S1, mais diminués dans le CA1 de l’hippocampe. Par la suite, nous avons testé si les mécanismes de plasticité synaptique qui sous-tendraient l’apprentissage étaient affectés par l’haploinsuffisance de Syngap1 dans les interneurones. Nous avons pu montrer que la potentialisation à long terme (LTP) NMDAR-dépendante était diminuée chez les souris Tg(Nkx2,1-Cre);Syngap1, sans que la dépression à long terme (LTD) NMDAR-dépendante soit affectée. Nous avons également montré que l’application d’un bloqueur des récepteurs GABAA renversait en partie le déficit de LTP rapporté chez les souris Syngap1+/-, suggérant qu’un déficit de désinhibition serait présent chez ces souris. L’ensemble de ces résultats supporte un rôle de Syngap1 dans les interneurones qui contribue aux déficits observés chez les souris affectées par l’haploinsuffisance de Syngap1.

Criação da matéria em cosmologias com velocidade da luz variável e eletrônico não-linear

In this work we obtain the cosmological solutions and investigate the thermodynamics of matter creation in two diferent contexts. In the first we propose a cosmological model with a time varying speed of light c. We consider two diferent time dependence of c for a at Friedmann-Robertson- Walker (FRW) universe. We write the energy conservation law arising from Einstein equations and study how particles are created as c decreases with cosmic epoch. The variation of c is coupled to a cosmological Λ term and both singular and non-singular solutions are possible. We calculate the "adiabatic" particle creation rate and the total number of particles as a function of time and find the constrains imposed by the second law of thermodynamics upon the models. In the second scenario, we study the nonlinearity of the electrodynamics as a source of matter creation in the cosmological models with at FRW geometry. We write the energy conservation law arising from Einstein field equations with cosmological term Λ, solve the field equations and study how particles are created as the magnetic field B changes with cosmic epoch. We obtain solutions for the adiabatic particle creation rate, the total number of particles and the scale factor as a function of time in three cases: Λ = 0, Λ = constant and Λ α H2 (cosmological term proportional to the Hubble parameter). In all cases, the second law of thermodynamics demands that the universe is not contracting (H ≥ 0). The first two solutions are non-singular and exhibit in ationary periods. The third case studied allows an always in ationary universe for a suficiently large cosmological term

Cooper pair dispersion relation for weak to strong coupling

Cooper pairing in two dimensions is analyzed with a set of renormalized equations to determine its binding energy for any fermion number density and all coupling assuming a,generic pairwise residual interfermion interaction. Also considered are Cooper pairs (CP's) with nonzero center-of-mass momentum (CMM) and their binding energy is expanded analytically in powers of the CMM up to quadratic terms. A Fermi-sea-dependent linear term in the CMM dominates the pair excitation energy in weak coupling (also called the BCS regime) while the more familiar quadratic term prevails in strong coupling (the Bose regime). The crossover, though strictly unrelated to BCS theory per se, is studied numerically as it is expected to play a central role in a model of superconductivity as a Bose-Einstein condensation of CPs where the transition temperature vanishes for all dimensionality d less than or equal to 2 for quadratic dispersion, but is nonzero for all d greater than or equal to 1 for linear dispersion.

A singular conformal spacetime

The infinite cosmological constant limit of the de Sitter solutions to Einstein's equation is studied. The corresponding spacetime is a singular, four-dimensional cone-space, transitive under proper conformal transformations, which constitutes a new example of maximally-symmetric spacetime. Grounded on its geometric and thermodynamic properties, some speculations are made in connection with the primordial universe. (c) 2005 Elsevier B.V. All rights reserved.