RELIBILITY ANALYSIS OF SIMPLE SLOPES AND SOIL-STRUCTURES WITH LINEAR LIMIT STATES

The first objective of this research was to develop closed-form and numerical probabilistic methods of analysis that can be applied to otherwise conventional methods of unreinforced and geosynthetic reinforced slopes and walls. These probabilistic methods explicitly include random variability of soil and reinforcement, spatial variability of the soil, and cross-correlation between soil input parameters on probability of failure. The quantitative impact of simultaneously considering the influence of random and/or spatial variability in soil properties in combination with cross-correlation in soil properties is investigated for the first time in the research literature. Depending on the magnitude of these statistical descriptors, margins of safety based on conventional notions of safety may be very different from margins of safety expressed in terms of probability of failure (or reliability index). The thesis work also shows that intuitive notions of margin of safety using conventional factor of safety and probability of failure can be brought into alignment when cross-correlation between soil properties is considered in a rigorous manner. The second objective of this thesis work was to develop a general closed-form solution to compute the true probability of failure (or reliability index) of a simple linear limit state function with one load term and one resistance term expressed first in general probabilistic terms and then migrated to a LRFD format for the purpose of LRFD calibration. The formulation considers contributions to probability of failure due to model type, uncertainty in bias values, bias dependencies, uncertainty in estimates of nominal values for correlated and uncorrelated load and resistance terms, and average margin of safety expressed as the operational factor of safety (OFS). Bias is defined as the ratio of measured to predicted value. Parametric analyses were carried out to show that ignoring possible correlations between random variables can lead to conservative (safe) values of resistance factor in some cases and in other cases to non-conservative (unsafe) values. Example LRFD calibrations were carried out using different load and resistance models for the pullout internal stability limit state of steel strip and geosynthetic reinforced soil walls together with matching bias data reported in the literature.

Spectral isometries into commutative Banach algebras

We determine the structure of spectral isometries between unital Banach algebras under the hypothesis that the codomain is commutative.

Density, nest site characteristics and breeding rates of the osprey (Pandion haliaetus) in the southern limit of its range in the Western Palearctic (Boa Vista, Cape Verde Islands).

[EN] Between 2004 and 2007, we studied density, habitat features and breeding parameters of the osprey (Pandion haliaetus) population in Boa Vista Island (Cape Verde). A total of 79 nest structures were identified, 37 of which were occupied for at least 1 year during the study period. The osprey population ranged between 14 and 18 pairs, and the mean density and distance between neighbouring occupied nests were 2.58 pairs per 100 km2 and 3089 m, respectively. Occupied nests were found to be significantly further from the coastline and roads than unoccupied nests, but the distances from villages were similar.

L'assioma della scelta e il paradosso di Banach-Tarski

La tesi tratta della formulazione dell'assioma della scelta fatta da Zermelo e di alcune sue forme equivalenti. Inoltre si parlerà della sua storia, delle critiche che gli sono state mosse e degli importanti teoremi che seguono direttamente dall'assioma. Viene anche trattato il paradosso di Hausdorff che introduce il problema della misura e il paradosso di Banach-Tarscki.

Spectral synthesis and topologies on ideal spaces for Banach *-algebras

This paper continues the study of spectral synthesis and the topologies τ∞ and τr on the ideal space of a Banach algebra, concentrating on the class of Banach *-algebras, and in particular on L1-group algebras. It is shown that if a group G is a finite extension of an abelian group then τr is Hausdorff on the ideal space of L1(G) if and only if L1(G) has spectral synthesis, which in turn is equivalent to G being compact. The result is applied to nilpotent groups, [FD]−-groups, and Moore groups. An example is given of a non-compact, non-abelian group G for which L1(G) has spectral synthesis. It is also shown that if G is a non-discrete group then τr is not Hausdorff on the ideal lattice of the Fourier algebra A(G).

Spectral synthesis for Banach Algebras II

This paper continues the study of spectral synthesis and the topologies tau-infinity and tau-r on the ideal space of a Banach algebra, concentrating particularly on the class of Haagerup tensor products of C*-algebras. For this class, it is shown that spectral synthesis is equivalent to the Hausdorffness of tau_infinity. Under a weak extra condition, spectral synthesis is shown to be equivalent to the Hausdorffness of tau_r.

Endomorphisms of Banach algebras of infinitely differentiable functions

In this note we study the endomorphisms of certain Banach algebras of infinitely differentiable functions on compact plane sets, associated with weight sequences M. These algebras were originally studied by Dales, Davie and McClure. In a previous paper this problem was solved in the case of the unit interval for many weights M. Here we investigate the extent to which the methods used previously apply to general compact plane sets, and introduce some new methods. In particular, we obtain many results for the case of the closed unit disc. This research was supported by EPSRC grant GR/M31132

Compactness in quasi-Banach function spaces and applications to compact embeddings of Besov-type spaces

There are two main aims of the paper. The first one is to extend the criterion for the precompactness of sets in Banach function spaces to the setting of quasi-Banach function spaces. The second one is to extend the criterion for the precompactness of sets in the Lebesgue spaces $L_p(\Rn)$, $1 \leq p < \infty$, to the so-called power quasi-Banach function spaces. These criteria are applied to establish compact embeddings of abstract Besov spaces into quasi-Banach function spaces. The results are illustrated on embeddings of Besov spaces $B^s_{p,q}(\Rn)$, $0

Processus d’adaptation des personnes vivant avec la schizophrénie et ayant un soutien social limité

Résumé : La schizophrénie est un trouble mental grave qui affecte toutes les facettes de la vie de la personne. En outre, le manque de soutien social est un problème important qui contribue à l’aggravation de la maladie, notamment en influençant négativement la capacité d’adaptation. Chez les personnes atteintes de schizophrénie, la capacité à utiliser des stratégies d’adaptation adéquates et efficaces est essentielle afin d’améliorer la santé, le bien-être et la prévention des rechutes. Cette recherche utilise la conception de l’adaptation de Roy (2009). De nombreuses études confirment la présence de difficultés d’adaptation chez ces personnes. De plus, le processus d’adaptation lui-même reste mal connu. La question de recherche était : Quel est le processus d’adaptation des personnes vivant avec la schizophrénie lorsque leur soutien social est limité ? Cette question sous-tendait deux objectifs : 1) décrire le processus d’adaptation des personnes atteintes de schizophrénie dans un contexte de soutien social limité et 2) contribuer au développement du modèle de Roy dans le contexte des troubles mentaux graves. Le devis de recherche était la théorisation ancrée constructiviste, auprès de 30 personnes vivant avec la schizophrénie. Les données étaient composées d’entrevues et de résultats de trois questionnaires qui ont contribué à décrire de façon plus détaillée le profil des participants. Les résultats sont une modélisation du processus d’adaptation nommée « les filtres dans le processus d’adaptation des personnes vivant avec la schizophrénie ». Cette modélisation met en lumière le fait que le potentiel d’adaptation des personnes vivant avec la schizophrénie est affecté à la fois par des éléments de l’environnement social et des éléments inhérents à la maladie elle-même. Ces éléments altèrent la possibilité et la capacité à utiliser des stratégies d’adaptation adéquates et efficaces. Ces résultats de recherche pourraient permettre d’améliorer l’évaluation des personnes atteintes de schizophrénie et de diminuer les « inconnues » dans l’effet des interventions, tout comme de favoriser les actions visant à lutter contre les conditions sociales qui nuisent à l’adaptation.

Stabilising suppressor of cytokine signalling 3 (SOCS3) protein levels to limit neointimal hyperplasia

Suppressor of cytokine signalling 3 (SOCS3) is a potent inhibitor of the mitogenic, migratory and pro-inflammatory pathways responsible for the development of neointimal hyperplasia (NIH), a key contributor to the failure of vascular reconstructive procedures. However, the protein levels of SOCS3, and therefore its potential to reduce NIH, is limited by its ubiquitylation and high turnover by the proteasome. I hypothesised that stabilisation of endogenous SOCS3 by inhibiting its ubiquitylation has the potential to limit vascular inflammation and NIH. Consequently, the aim of this PhD was to identify the mechanisms promoting the rapid turnover of SOCS3. Initial experiments involved the identification of residues involved in regulating the turnover of SOCS3 at the proteasome. I assessed the ubiquitylation status of a panel of FLAG tagged SOCS3 truncation mutants and identified a C-terminal 44 amino acid region required for SOCS3 ubiquitylation. This region localised to the SOCS box which is involved in binding Elongin B/C and the formation of a functional E3 ubiquitin ligase complex. However, the single lysine residue at position 173, located within this 44 amino acid region, was not required for ubiquitylation. Moreover, Emetine chase assays revealed that loss of either Lys173 or Lys6 (as documented in the literature) had no significant effect on SOCS3 stability 8 hrs post emetine treatment. As mutagenesis studies failed to identify key sites of ubiquitylation responsible for targeting SOCS3 to the proteasome, LC-MS-MS analysis of a SOCS3 co-immunoprecipitate was employed. These data were searched for the presence of a Gly-Gly doublet (+114 Da mass shift) and revealed 8 distinct sites of ubiquitylation (Lys23, Lys28, Lys40, Lys85, Lys91, Lys173, Lys195, Lys206) on SOCS3 however Lys6 ubiquitylation was not detected. As multiple Lys residues were ubiquitylated, I hypothesised that only a Lys-less SOCS3, in which all 8 Lys residues were mutated to Arg, would be resistant to ubiquitylation. Compared to WT SOCS3, Lys-less SOCS3 was indeed found to be completely resistant to ubiquitylation, and significantly more stable than WT SOCS3. These changes occurred in the absence of any detrimental effect on the ability of Lys-less SOCS3 to interact with the Elongin B/C components required to generate a functional E3 ligase complex. In addition, both WT and Lys-less SOCS3 were equally capable of inhibiting cytokine-stimulated STAT3 phosphorylation upon co-expression with a chimeric EpoR-gp130 receptor. To assess whether SOCS3 auto-ubiquitylates I generated an L189A SOCS3 mutant that could no longer bind the Elongins and therefore form the E3 ligase complex required for ubiquitylation. A denaturing IP to assess the ubiquitylation status of this mutant was performed and revealed that, despite an inability to bind the Elongins, the L189A mutant was poly-ubiquitylated similar to WT SOCS3. Together these data suggested that SOCS3 does not auto-ubiquitylate and that a separate E3 ligase must regulate SOCS3 ubiquitylation. This study sought to identify the E3 ligase and deubiquitylating (DUB) enzymes controlling the ubiquitylation of SOCS3. Our initial strategy was to develop a tool to screen an E3 ligase/DUB library, using an siARRAY, to sequentially knockdown all known E3 ligases in the presence of a SOCS3-luciferase fusion protein or endogenous SOCS3 in a high content imaging screening platform. However, due to a poor assay window (<2) and non-specific immunoreactivity of SOCS3 antibodies available, these methods were deemed unsuitable for screening purposes. In the absence of a suitable tool to screen the si-ARRAY, LC-MS-MS analysis of a SOCS3 co-immunoprecipitate (co-IP) was investigated. I performed a SOCS3 under conditions which preserved protein-protein interactions, with the aim of identifying novel E3 ligase and/or DUBs that could potentially interact with SOCS3. These data were searched for E3 ligase or DUB enzymes that may interact with SOCS3 in HEK293 cells and identified two promising candidates i) an E3 ligase known as HectD1 and ii) a DUB known as USP15. This thesis has demonstrated that in the presence of HectD1 overexpression, a slight increase in K63-linked polyubiquitylation of SOCS3 was observed. Mutagenesis also revealed that an N-terminal region of SOCS3 may act as a repressor of this interaction with HectD1. Additionally, USP15 was shown to reduce SOCS3 polyubiquitylation in a HEK293 overexpression system suggesting this may act as a DUB for SOCS3. The C-terminal region of SOCS3 was also shown to play a major role in the interaction with USP15. The original hypothesis of this thesis was that stabilisation of endogenous SOCS3 by inhibiting its ubiquitylation has the potential to limit vascular inflammation and NIH. Consistent with this hypothesis, immunohistochemistry visualisation of SOCS3, in human saphenous vein tissue derived from CABG patients, revealed that while SOCS3 was present throughout the media of these vessels the levels of SOCS3 within the neointima was reduced. Finally, preliminary data supporting the hypothesis that SOCS3 overexpression may limit the proliferation, but not migration, of human saphenous vein smooth muscle cells (HSVSMCs) is presented. It is expected that multiple E3 ligases and DUBs will contribute to the regulation of SOCS3 turnover. However, the identification of candidate E3 ligases or DUBs that play a significant role in SOCS3 turnover may facilitate the development of peptide disruptors or gene therapy targets to attenuate pathological SMC proliferation. A targeted approach, inhibiting the interaction between SOCS3 and identified E3 ligase, that controls the levels of SOCS3, would be expected to reduce the undesirable effects associated with global inhibition of the E3 ligase involved.

Teorema del punto fijo de Banach y algunas aplicaciones

El teorema del punto fijo es aplicable a un tipo especial de sucesiones; dicho teorema es utilizado en muchas ciencias aplicadas (economía, ingeniería, informática) así como en las ciencias fundamentales (física, química, biología, etc.). El trabajo investiga la teoría del punto fijo y algunas aplicaciones del Teorema del Punto Fijo de Banach, para elaborar un documento en el que se presenten algunas aplicaciones y la teoría del punto fijo.

Elastic limit: The role of university-focused venture capital firms in extending knowledge and technology transfer

This paper has two main objectives. Firstly, to identify the role of the university-focused intermediaries, specifically UVCs, in order to explain how they interact at the early stage of USO creation, particularly regarding knowledge sharing. Secondly, to analyse whether they change their position once the USO is developed. This gives rise to two Research Questions: How does knowledge sharing occur in the dynamics of a university-based entrepreneurial ecosystem? And Do particular participants, such as UTTOs or UVCs, always occupy the same role and position within the university-based entrepreneurial ecosystem?

Self-Organizing Map Neural Architectures Based on Limit Cycle Attractors

Recent efforts to develop large-scale neural architectures have paid relatively little attention to the use of self-organizing maps (SOMs). Part of the reason is that most conventional SOMs use a static encoding representation: Each input is typically represented by the fixed activation of a single node in the map layer. This not only carries information in an inefficient and unreliable way that impedes building robust multi-SOM neural architectures, but it is also inconsistent with rhythmic oscillations in biological neural networks. Here I develop and study an alternative encoding scheme that instead uses limit cycle attractors of multi-focal activity patterns to represent input patterns/sequences. Such a fundamental change in representation raises several questions: Can this be done effectively and reliably? If so, will map formation still occur? What properties would limit cycle SOMs exhibit? Could multiple such SOMs interact effectively? Could robust architectures based on such SOMs be built for practical applications? The principal results of examining these questions are as follows. First, conditions are established for limit cycle attractors to emerge in a SOM through self-organization when encoding both static and temporal sequence inputs. It is found that under appropriate conditions a set of learned limit cycles are stable, unique, and preserve input relationships. In spite of the continually changing activity in a limit cycle SOM, map formation continues to occur reliably. Next, associations between limit cycles in different SOMs are learned. It is shown that limit cycles in one SOM can be successfully retrieved by another SOM’s limit cycle activity. Control timings can be set quite arbitrarily during both training and activation. Importantly, the learned associations generalize to new inputs that have never been seen during training. Finally, a complete neural architecture based on multiple limit cycle SOMs is presented for robotic arm control. This architecture combines open-loop and closed-loop methods to achieve high accuracy and fast movements through smooth trajectories. The architecture is robust in that disrupting or damaging the system in a variety of ways does not completely destroy the system. I conclude that limit cycle SOMs have great potentials for use in constructing robust neural architectures.

Tau Functions and the Limit of Block Toeplitz Determinants

International audience