993 resultados para Lie group symmetries
Resumo:
Audit report on Highway Safety Projects administered by The Integer Group Midwest for the year ended September 30, 2007
Resumo:
Audit report on Highway Safety Projects administered by The Integer Group Midwest for the year ended September 30, 2008
Resumo:
Audit report on Highway Safety Projects administered by The Integer Group Midwest for the year ended September 30, 2009
Resumo:
Audit report on Highway Safety Projects administered by The Integer Group Midwest for the year ended September 30, 2010
Resumo:
We study spacetime diffeomorphisms in the Hamiltonian and Lagrangian formalisms of generally covariant systems. We show that the gauge group for such a system is characterized by having generators which are projectable under the Legendre map. The gauge group is found to be much larger than the original group of spacetime diffeomorphisms, since its generators must depend on the lapse function and shift vector of the spacetime metric in a given coordinate patch. Our results are generalizations of earlier results by Salisbury and Sundermeyer. They arise in a natural way from using the requirement of equivalence between Lagrangian and Hamiltonian formulations of the system, and they are new in that the symmetries are realized on the full set of phase space variables. The generators are displayed explicitly and are applied to the relativistic string and to general relativity.
Resumo:
In this paper we examine in detail the implementation, with its associated difficulties, of the Killing conditions and gauge fixing into the variational principle formulation of Bianchi-type cosmologies. We address problems raised in the literature concerning the Lagrangian and the Hamiltonian formulations: We prove their equivalence, make clear the role of the homogeneity preserving diffeomorphisms in the phase space approach, and show that the number of physical degrees of freedom is the same in the Hamiltonian and Lagrangian formulations. Residual gauge transformations play an important role in our approach, and we suggest that Poincaré transformations for special relativistic systems can be understood as residual gauge transformations. In the Appendixes, we give the general computation of the equations of motion and the Lagrangian for any Bianchi-type vacuum metric and for spatially homogeneous Maxwell fields in a nondynamical background (with zero currents). We also illustrate our counting of degrees of freedom in an appendix.
Resumo:
We discuss reality conditions and the relation between spacetime diffeomorphisms and gauge transformations in Ashtekars complex formulation of general relativity. We produce a general theoretical framework for the stabilization algorithm for the reality conditions, which is different from Diracs method of stabilization of constraints. We solve the problem of the projectability of the diffeomorphism transformations from configuration-velocity space to phase space, linking them to the reality conditions. We construct the complete set of canonical generators of the gauge group in the phase space which includes all the gauge variables. This result proves that the canonical formalism has all the gauge structure of the Lagrangian theory, including the time diffeomorphisms.
Resumo:
Abstract : Transcriptional regulation is the result of a combination of positive and negative effectors, such as transcription factors, cofactors and chromatin modifiers. During my thesis project I studied chromatin association, and transcriptional and cell cycle regulatory functions of dHCF, the Drosophila homologue of the human protein HCF-1 (host cell factor-1). The human and Drosophila HCF proteins are synthesized as large polypeptides that are cleaved into two subunits (HCFN and HCFC), which remain associated with one another by non covalent interactions. Studies in mammalian cells over the past 20 years have been devoted to understanding the cellular functions of HCF-1 and have revealed that it is a key regulator of transcription and cell cycle regulation. In human cells, HCF-1 interacts with the histone methyltransferase Set1/Ash2 and MLL/Ash2 complexes and the histone deacetylase Sin3 complex, which are involved in transcriptional activation and repression, respectively. HCF-1 is also recruited to promoters to regulate G1 -to-S phase progression during the cell cycle by the activator transcription factors E2F1 and E2F3, and by the repressor transcription factor E2F4. HCF-1 protein structure and these interactions between HCP-1 and E2F transcriptional regulator proteins are also conserved in Drosophila. In this doctoral thesis, I use proliferating Drosophila SL2 cells to study both the genomic-binding sites of dHCF, using a combination of chromatin immunoprecipitation and ultra high throughput sequencing (ChIP-seq) analysis, and dHCF regulated genes, employing RNAi and microarray expression analysis. I show that dHCF is bound to over 7500 chromosomal sites in proliferating SL2 cells, and is located at +-200 bp relative to the transcriptional start sites of about 30% of Drosophila genes. There is also a direct relationship between dHCF promoter association and promoter- associated transcriptional activity. Thus, dHCF binding levels at promoters correlated directly with transcriptional activity. In contrast, expression studies showed that dHCF appears to be involved in both transcriptional activation and repression. Analysis of dHCF-binding sites identified nine dHCF-associated motifs, four of them linked dHCF to (i) two insulator proteins, GAGA and BEAF, (ii) the E-box motif, and (iii) a degenerated TATA-box. The dHCF-associated motifs allowed the organization of the dHCF-bound genes into five biological processes: differentiation, cell cycle and gene expression, regulation of endocytosis, and cellular localization. I further show that different mechanisms regulate dHCF association with chromatin. Despite that after dHCF cleavage the dHCFN and dHCFC subunits remain associated, the two subunits showed different affinities for chromatin and differential binding to a set of tested promoters, suggesting that dHCF could target specific promoters through each of the two subunits. Moreover, in addition to the interaction between dHCF and E2F transcription factors, the dHCF binding pattern is correlated with dE2F2 genomic 4 distribution. I show that dE2F factors are necessary for recruitment of dHCF to the promoter of a set of dHCF regulated genes. Therefore dHCF, as in mammals, is involved in regulation of G1 to S phase progression in collaboration with the dE2Fs transcription factors. In addition, gene expression arrays reveal that dHCF could indirectly regulate cell cycle progression by promoting expression of genes involved in gene expression and protein synthesis, and inhibiting expression of genes involved in cell-cell adhesion. Therefore, dHCF is an evolutionary conserved protein, which binds to many specific sites of the Drosophila genome via interaction with DNA of chromatin-binding proteins to regulate the expression of genes involved in many different cellular functions. Résumé : La regulation de la transcription est le résultat des effets positifs et négatifs des facteurs de transcription, cofacteurs et protéines effectrices qui modifient la chromatine. Pendant mon projet de thèse, j'ai étudié l'association a la chromatine, ainsi que la régulation de la transcription et du cycle cellulaire par dHCF, l'homologue chez la drosophile de la protéine humaine HCF-1 (host cell factor-1). Chez 1'humain et la V drosophile, les deux protéines HCF sont synthétisées sous la forme d'un long polypeptide, qui est ensuite coupé en deux sous-unités au centre de la protéine. Les deux sous-unités restent associées ensemble grâce a des interactions non-covalentes. Des études réalisées pendant les 20 dernières années ont permit d'établir que HCF-l et un facteur clé dans la régulation de la transcription et du cycle cellulaire. Dans les cellules humaines, HCF-1 active et réprime la transcription en interagissant avec des complexes de protéines qui activent la transcription en méthylant les histones (HMT), comme par Set1/Ash2 et MLL/Ash2, et d'autres complexes qui répriment la transcription et sont responsables de la déacétylation des histones (HDAC) comme la protéine Sin3. HCF-l est aussi recruté aux promoteurs par les activateurs de la transcription E2F l et E2F3a, et par le répresseur de la transcription E2F4 pour réguler la transition entre les phases G1 et S du cycle cellulaire. La structure de HCF-1 et les interactions entre HCF-l et les régulateurs de la transcription sont conservées chez la drosophile. Pendant ma these j'ai utilisé les cellules de la drosophile, SL2 en culture, pour étudier les endroits de liaisons de HCF-l à la chromatine, grâce a immunoprecipitation de la chromatine et du séquençage de l'ADN massif ainsi que les gènes régulés par dHCF 3 grâce a la technique de RNAi et des microarrays. Mes résultats on montré que dHCF se lie à environ 7565 endroits, et estimé a 1200 paire de bases autour des sites d'initiation de la transcription de 30% des gènes de la drosophile. J 'ai observe une relation entre dHCF et le niveau de la transcription. En effet, le niveau de liaison dHCF au promoteur corrèle avec l'activité de la transcription. Cependant, mes études d'expression ont montré que dHCF est implique dans le processus d'activation et mais aussi de répression de la transcription. L'analyse des séquences d'ADN liées par dHCF a révèle neuf motifs, quatre de ces motifs ont permis d'associer dl-ICF a deux protéines isolatrices GAGA et BEAF, au motif pour les E-boxes et a une TATA-box dégénérée. Les neuf motifs associes à dHCF ont permis d'associer les gènes lies par dHCF au promoteur a cinq processus biologiques: différentiation, cycle cellulaire, expression de gènes, régulation de l'endocytosis et la localisation cellulaire, J 'ai aussi montré qu'il y a plusieurs mécanismes qui régulent l'association de dHCF a la chromatine, malgré qu'après clivage, les deux sous-unites dHCFN and dHCFC, restent associées, elles montrent différentes affinités pour la chromatine et lient différemment un group de promoteurs, les résultats suggèrent que dHCF peut se lier aux promoteurs en utilisant chacune de ses sous-unitées. En plus de l'association de dHCF avec les facteurs de transcription dE2F s, la distribution de dHCF sur le génome corrèle avec celle du facteur de transcription dE2F2. J'ai aussi montré que les dE2Fs sont nécessaires pour le recrutement de dHCF aux promoteurs d'un sous-groupe de gènes régules par dHCF. Mes résultats ont aussi montré que chez la drosophile comme chez les humains, dl-ICF est implique dans la régulation de la progression de la phase G1 a la phase S du cycle cellulaire en collaboration avec dE2Fs. D'ailleurs, les arrays d'expression ont suggéré que dHCF pourrait réguler le cycle cellulaire de façon indirecte en activant l'expression de gènes impliqués dans l'expression génique et la synthèse de protéines, et en inhibant l'expression de gènes impliqués dans l'adhésion cellulaire. En conclusion, dHCF est une protéine, conservée dans l'évolution, qui se lie spécifiquement a beaucoup d'endroits du génome de Drosophile, grâce à l'interaction avec d'autres protéines, pour réguler l'expression des gènes impliqués dans plusieurs fonctions cellulaires.