Dissipation, noise and vacuum decay in quantum field theory

We study the process of vacuum decay in quantum field theory focusing on the stochastic aspects of the interaction between long- and short-wavelength modes. This interaction results in a diffusive behavior of the reduced Wigner function describing the state of long-wavelength modes, and thereby to a finite activation rate even at zero temperature. This effect can make a substantial contribution to the total decay rate.

Mean first-passage times for systems driven by gamma and McFadden dichotomous noise

We consider mean first-passage times (MFPTs) for systems driven by non-Markov gamma and McFadden dichotomous noises. A simplified derivation is given of the underlying integral equations and the theory for ordinary renewal processes is extended to modified and equilibrium renewal processes. The exact results are compared with the MFPT for Markov dichotomous noise and with the results of Monte Carlo simulations.

Lee HWA Chung theorem for presympectic manifolds. Canonical transformations for constrained systems

We generalize the analogous of Lee Hwa Chungs theorem to the case of presymplectic manifolds. As an application, we study the canonical transformations of a canonical system (M, S, O). The role of Dirac brackets as a test of canonicity is clarified.

Realizations of Poincar group induced by second order differential systems. Non interaction theorem

A generalization of the predictive relativistic mechanics is studied where the initial conditions are taken on a general hypersurface of M4. The induced realizations of the Poincar group are obtained. The same procedure is used for the Galileo group. Noninteraction theorems are derived for both groups.

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.

The Nonequilibrium thermodynamics of small systems

The interactions of tiny objects with their environments are dominated by thermal fluctuations. Guided by theory and assisted by new micromanipulation tools, scientists have begun to study such interactions in detail.

Remote Synchronization Reveals Network Symmetries and Functional Modules

We study a Kuramoto model in which the oscillators are associated with the nodes of a complex network and the interactions include a phase frustration, thus preventing full synchronization. The system organizes into a regime of remote synchronization where pairs of nodes with the same network symmetry are fully synchronized, despite their distance on the graph. We provide analytical arguments to explain this result, and we show how the frustration parameter affects the distribution of phases. An application to brain networks suggests that anatomical symmetry plays a role in neural synchronization by determining correlated functional modules across distant locations.

Neutral atoms in ionic lattices: Excited states of KCl:Ag(0)

The optical-absorption spectrum of a cationic Ag0 atom in a KCl crystal has been studied theoretically by means of a series of cluster models of increasing size. Excitation energies have been determined by means of a multiconfigurational self-consistent field procedure followed by a second-order perturbation correlation treatment. Moreover results obtained within the density-functional framework are also reported. The calculations confirm the assignment of bands I and IV to transitions of the Ag-5s electron into delocalized states with mainly K-4s,4p character. Bands II and III have been assigned to internal transitions on the Ag atom, which correspond to the atomic Ag-4d to Ag-5s transition. We also determine the lowest charge transfer (CT) excitation energy and confirm the assignment of band VI to such a transition. The study of the variation of the CT excitation energy with the Ag-Cl distance R gives additional support to a large displacement of the Cl ions due to the presence of the Ag0 impurity. Moreover, from the present results, it is predicted that on passing to NaCl:Ag0 the CT onset would be out of the optical range while the 5s-5p transition would undergo a redshift of 0.3 eV. These conclusions, which underline the different character of involved orbitals, are consistent with experimental findings. The existence of a CT transition in the optical range for an atom inside an ionic host is explained by a simple model, which also accounts for the differences with the more common 3d systems. The present study sheds also some light on the R dependence of the s2-sp transitions due to s2 ions like Tl+.

Effective t-J model Hamiltonian parameters of monolayered cuprate superconductors from ab initio electronic structure calculations

The magnetic coupling constant of selected cuprate superconductor parent compounds has been determined by means of embedded cluster model and periodic calculations carried out at the same level of theory. The agreement between both approaches validates the cluster model. This model is subsequently employed in state-of-the-art configuration interaction calculations aimed to obtain accurate values of the magnetic coupling constant and hopping integral for a series of superconducting cuprates. Likewise, a systematic study of the performance of different ab initio explicitly correlated wave function methods and of several density functional approaches is presented. The accurate determination of the parameters of the t-J Hamiltonian has several consequences. First, it suggests that the appearance of high-Tc superconductivity in existing monolayered cuprates occurs with J/t in the 0.20¿0.35 regime. Second, J/t=0.20 is predicted to be the threshold for the existence of superconductivity and, third, a simple and accurate relationship between the critical temperatures at optimum doping and these parameters is found. However, this quantitative electronic structure versus Tc relationship is only found when both J and t are obtained at the most accurate level of theory.

Functional responses and heterogeneities: an experimental test with cladocerans

The functional response of predators is usually modelled as a function of absolute prey density. Arditi and Ginzburg have suggested that it should often depend instead on the prey available per capita of predators, i.e. on the prey/predator ratio. Theory suggests that these two forms of dependence are related to the degree of spatial and temporal heterogeneity. Experiments using four filter-feeding cladoceran species were designed to test this hypothesis and to investigate the relation between individual behaviour and population dynamics. The patterns of population abundance that the cladocerans reached at equilibrium match the expectation that species with homogeneous spatial behaviour follow prey-dependent dynamics while those with heterogeneous behaviour follow ratio-dependent dynamics.

Criteria for hitting probabilities with applications to systems of stochastic wave equations

We develop several results on hitting probabilities of random fields which highlight the role of the dimension of the parameter space. This yields upper and lower bounds in terms of Hausdorff measure and Bessel-Riesz capacity, respectively. We apply these results to a system of stochastic wave equations in spatial dimension k >- 1 driven by a d-dimensional spatially homogeneous additive Gaussian noise that is white in time and colored in space.

Mechanisms of functional T-cell deficiency in melanoma patients

SUMMARYAs a result of evolution, humans are equipped with an intricate but very effective immune system with multiple defense mechanisms primarily providing protection from infections. This system comprises various cell types, including T-lymphocytes, which are able to recognize and directly kill infected cells. T-cells are not only able to recognize cells carrying foreign antigens, such as virus-infected cells, but also autologous cells. In autoimmune diseases, e.g. multiple sclerosis, T- cells attack autologous cells and cause the destruction of healthy tissue. To prevent aberrant immune reactions, but also to prevent damage caused by an overreacting immune response against foreign targets, there are multiple systems in place that attenuate T-cell responses.By contrast, anti-self immune responses may be highly welcome in malignant diseases. It has been demonstrated that activated T-cells are able to recognize and lyse tumor cells, and may even lead to successful cure of cancer patients. Through vaccination, and especially with the help of powerful adjuvants, frequencies of tumor-reactive T-cells can be augmented drastically. However, the efficacy of anti-tumor responses is diminished by the same checks and balances preventing the human body from harm induced by overly activated T-cells in infections.In the context of my thesis, we studied spontaneous and vaccination induced T-cell responses in melanoma patients. The aim of my studies was to identify situations of T-cell suppression, and pinpoint immune suppressive mechanisms triggered by malignant diseases. We applied recently developed techniques such as multiparameter flow cytometry and gene arrays, allowing the characterization of tumor-reactive T-cells directly ex vivo. In our project, we determined functional capabilities, protein expression, and gene expression profiles of small numbers of T- cells from metastatic tissue and blood obtained from healthy donors and melanoma patients. We found evidence that tumor-specific T-cells were functionally efficient effector cells in peripheral blood, but severely exhausted in metastatic tissue. Our molecular screening revealed the upregulation of multiple inhibitory receptors on tumor-specific T-cells, likely implied in T-cell exhaustion. Functional attenuation of tumor-specific T-cells via inhibitory receptors depended on the anatomical location and immune suppressive mechanisms in the tumor microenvironment, which appeared more important than self-tolerance and anergy mechanisms. Our data reveal novel potential targets for cancer therapy, and contribute to the understanding of cancer biology.RÉSUMÉAu cours de l'évolution, les êtres humains se sont vus doter d'un système immunitaire complexe mais très efficace, avec de multiples mécanismes de défense, principalement contre les infections. Ce système comprend différents types de cellules, dont les lymphocytes Τ qui sont capables de reconnaître et de tuer directement des cellules infectées. Les cellules Τ reconnaissent non seulement des cellules infectées par des virus, mais également des cellules autologues. Dans le cas de maladies auto-immunes, comme par exemple la sclérose en plaques, les cellules Τ s'attaquent à des cellules autologues, ce qui engendre la destruction des tissus sains. Il existe plusieurs systèmes de contrôle des réponses Τ afin de minimiser les réactions immunitaires aberrantes et d'empêcher les dégâts causés par une réponse immunitaire trop importante contre une cible étrangère.Dans le cas de maladies malignes en revanche, une réponse auto-immune peut être avantageuse. Il a été démontré que les lymphocytes Τ étaient également capables de reconnaître et de tuer des cellules tumorales, pouvant même mener à la guérison d'un patient cancéreux. La vaccination peut augmenter fortement la fréquence des cellules Τ réagissant contre une tumeur, particulièrement si elle est combinée avec des adjuvants puissants. Cependant, l'efficacité d'une réponse antitumorale est atténuée par ces mêmes mécanismes de contrôle qui protègent le corps humain des dégâts causés par des cellules Τ activées trop fortement pendant une infection.Dans le cadre de ma recherche de thèse, nous avons étudié les réponses Τ spontanées et induites par la vaccination dans des patients atteints du mélanome. Le but était d'identifier des conditions dans lesquelles les réponses des cellules Τ seraient atténuées, voire inhibées, et d'élucider les mécanismes de suppression immunitaire engendrés par le cancer. Par le biais de techniques nouvelles comprenant la cryométrie de flux et l'analyse globale de l'expression génique à partir d'un nombre minimal de cellules, il nous fut possible de caractériser des cellules Τ réactives contre des tumeurs directement ex vivo. Nous avons examiné les profiles d'expression de gènes et de protéines, ainsi que les capacités fonctionnelles des cellules Τ isolées à partir de tissus métastatiques et à partir du sang de patients. Nos résultats indiquent que les cellules Τ spécifiques aux antigènes tumoraux sont fonctionnelles dans le sang, mais qu'elles sont épuisées dans les tissus métastatiques. Nous avons découvert dans les cellules Τ antitumorales une augmentation de l'expression des récepteurs inhibiteurs probablement impliqués dans l'épuisement de ces lymphocytes T. Cette expression particulière de récepteurs inhibiteurs dépendrait donc de leur localisation anatomique et des mécanismes de suppression existant dans l'environnement immédiat de la tumeur. Nos données révèlent ainsi de nouvelles cibles potentielles pour l'immunothérapie du cancer et contribuent à la compréhension biologique du cancer.

Identification and functional characterization of auxiliary enzymes of the β-oxidation in " Arabidopsis thaliana "

Abstract: The ß-oxidation is the universal pathway that allows living organisms to degrade fatty acids. leading to lipid homeostasis and carbon and energy recovery from the fatty acid molecules. This pathway is centred on four core enzymatic activities sufficient to degrade saturated fatty acids. Additional auxiliary enzymes of the ß-oxidation are necessary for the complete degradation of a larger array of molecules encompassing the unsaturated fatty acids. The main pathways of the ßoxidation of fatty acids have been investigated extensively and auxiliary enzymes are well-known in mammals and yeast. The comparison of the established ß-oxidation systems suggests that the activities that are required to proceed to the full degradation of unsaturated fatty acids are present regardless of the organism and rely on common active site templates. The precise identity of the plant enzymes was unknown. By homology searches in the genome of Arabidopsis thaliana, I identified genes. encoding for proteins that could be orthologous to the yeast or animal auxiliary enzymes Δ 3, Δ 2-enoyl-CoA isomerase, Δ 3,5, Δ 2,4 -dienoyl-CoA isomerase, and type 2 enoyl-CoA hydratase. I established that these genes are expressed in Arabidopsis and that their expression can be correlated to the expression of core ß-oxidation genes. Through the observation of chimeric fluorescent protein fusions, I demonstrated that the identified proteins are localized in the peroxisóme, the only organelle where the ß-oxidation occurs in plants. Enzymatic assays were performed with the partially purified enzymes to demonstrate that the identified enzymes can catalyze the same in vitro reactions as their non-plant orthologs. The activities in vivo of the plant enzymes were demonstrated by heterologous complementation of the corresponding yeast Saccharomyces cerevisiae mutants. The complementation was visualized using the artificial polyhydroxyalkanoate (PHA) production in yeast peroxisomes. The recombinant strains, expressing a Pseudomonas aeruginosa PHA synthase modified for a peroxisomal localization, produce this polymer that serves as a trap for the 3-hydroxyacyl-CoA intermediaries of the ßoxidation and that reflects qualitatively and quantitatively the array of molecules that are processed through the ß-oxidation. This complementation demonstrated the implication of the plant Δ 3, Δ 2-enoyl-CoA isomerases and Δ3,5, Δ2,4-dienoyl-CoA isomerase in the degradation of odd chain position unsaturated fatty acids. The presence of a monofunctional type 2 enoyl-CoA hydratase is a novel in eukaryotes. Downregulation of the corresponding gene expression in an Arabidopsis line, modified to produce PHA in the peroxisome, demonstrated thàt this enzyme participates in vivo to the conversion of the intermediate 3R-hydroxyacyl-CoA, generated by the metabolism of fatty acids with a cis (Z)-unsaturated bond on an even-numbered carbon, to the 2Eenoyl-CoA for further degradation through the core ß-oxidation cycle. Résumé: La ß-oxydation est une voie universelle de dégradation des acides gras qui permet aux organismes vivants d'assurer une homéostasie lipidique et de récupérer l'énergie et le carbone contenus dans les acides gras. Le coeur de cette voie est composé de quatre réactions enzymatiques suffisantes à la dégradation des acides gras saturés. La présence des enzymes auxiliaires de la ß-oxydation est nécessaire à la dégradation d'une gamme plus étendue de molécules comprenant les acides gras insaturés. Les voies principales de la ß-oxydation des acides gras ont été étudiées en détail et les enzymes auxiliaires sont déterminées chez les mammifères et la levure. La comparaison entre les systèmes de ß-oxydation connus suggère que les activités requises pour la dégradation complète des acides gras insaturés reposent sur la présence de site actifs similaires. L'identité précise des enzymes auxiliaires chez les plantes était inconnue. En cherchant par homologie dans le génome de la plante modèle Arabidopsis thaliana, j'ai identifié des gènes codant pour des protéines pouvant être orthologues aux enzymes auxiliaires Δ3 Δ2-enoyl-CoA isomérase, Δ 3,5 Δ 2,4-dienoyl-CoA isomérase et enoyl-CoA hydratase de type 2 d'origine fongique ou mammalienne. J'ai établi la corrélation de l'expression de ces gènes dans Arabidopsis avec celle de gènes des enzymes du coeur de la ß-oxydation. En observant des chimères de fusion avec des protéines fluorescentes, j'ai démontré que les protéines identifiées sont localisées dans le péroxysomes, le seul organelle où la ß-oxydation se déroule chez les plantes. Des essais enzymatiques ont été conduits avec ces enzymes partiellement purifiées pour démontrer que les enzymes identifiées sont capables de catalyser in vitro les mêmes réactions que leurs orthologues non végétaux. Les activités des enzymes végétales in vivo ont été .démontrées par complémentation hétérologue des mutants de délétion correspondants de levure Saccharomyces cerevisiae. La visualisation de la complémentation est rendue possible par la synthèse de polyhydroxyalcanoate (PHA) dans les péroxysomes de levure. Les souches recombinantes expriment la PHA synthase de Pseudomonas aeruginosa modifiée pour être localisée dans le péroxysome produisent ce polymère qui sert de piège pour les 3-hydroxyacylCoAs intermédiaires de la ß-oxydation et qui reflète qualitativement et quantitativement la gamme de molécules qui subit la ß-oxydation. Cette complémentation a permis de démontrer que les Δ3, Δ2-enoyl-CoA isomérases, et la Δ3.5, Δ2,4-dienoyl-CoA isomérase végétales sont impliquées dans la dégradation des acides gras insaturés en position impaire. L'enoyl-CoA hydratase de type 2 monofonctionelle est une enzyme nouvelle chez les eucaryotes. La sous-expression du gène correspondant dans une lignée d'Arabidopsis modifiée pour produite du PHA dans le péroxysome a permis de démontrer que cette enzyme participe in vivo à la dégradation des acides gras ayant une double liaison en conformation cis (Z) en position paire.