Integrable geodesic flows and Multi-Centre versus Bianchi A metrics

It is shown that most, but not all, of the four dimensional metrics in the Multi-Centre family with integrable geodesic flow may be recognized as belonging to spatially homogeneous Bianchi type A metrics. We show that any diagonal bi-axial Bianchi II metric has an integrable geodesic flow, and that the simplest hyperk\"ahler metric in this family displays a finite dimensional W-algebra for its observables. Our analysis puts also to light non-diagonal Bianchi VI$_0$ and VII$_0$ metrics which seem to be new. We conclude by showing that the elliptic coordinates advocated in the literature do not separate the Hamilton-Jacobi equation for the tri-axial Bianchi IX metric.Comment: 22 pages, latex2e, no figure

El diálogo euromediterráneo y los conflictos regionales

Conferencia pronunciada por el ministro de Asuntos Exteriores de Túnez en el Real Instituto Elcano. La Unión Europea, en su trabajo para lograr una Europa estable y pacífica, pretende ser un interlocutor importante para los países de la ribera sur del Mediterráneo en materia de cooperación. Al crear una Asociación Global y Estratégica con estos países, se pretende hacer del Mediterráneo “un espacio común de paz, estabilidad y una zona de prosperidad compartida”

Predictive macroscopic modeling of Chinese hamster ovary cells in fed-batch processes

This thesis focuses on developing a systematic modeling method that can capture the essential features for prediction of cell metabolism, growth and monoclonal antibody (mAb) production in Chinese Hamster Ovary (CHO) cells. In a first step all specific consumption rates are calculated based on time courses of extracellular metabolites, viable cell density and mAb. Then the metabolic phases within which the metabolic pseudo-steady state approximation is verified are identified. In a third step, all metabolic rates are expressed as a function of the specific growth rate within each metabolic phase. We have applied this method to a set of small bioreactor data and have shown that the model obtained can predict specific conversion rates both small and also at large scale. In the second part of this thesis, a kinetic model of the cell growth has been developed. Together with previously described methodology, this kinetic model results in a predictive metabolic model for each experimental cell growth data are not required. The kinetic model is based on Monod kinetics with a few modifications such as a varying the maximum specific growth rate as a function of the integral viable cell density. The full kinetic model can be used off line to design optimal feeding profiles. The results of this thesis demonstrate that rich knowledge can be derived from macroscopic data that can then be used to predict new production conditions in an industrial environment at small and large scale.Der Schwerpunkt dieser Dissertation liegt auf der systematischen Entwicklung Modellen für die Vorhersage des zellulären Stoffwechsels, des Wachstums und der Produktion von monoklonalen Antikörpern (mAb) in Kulturen von Chinesischen Hamster-Ovarzellen (CHO). Zunächst wurden mit segmentierter linearer Regression metabolischer Phasen identifiziert. Diese Identifizierung beruht auf der Annahme eines pseudo-stationären Zustands und somit, dass in einer Phase alle Raten linear miteinander korreliert waren. Die spezifischen Raten wurden aus den Zeitverläufen der Konzentrationen der Metabolite und des mAb sowie der Lebendzellzahl bestimmt. Durch die Korrelation konnten alle Raten über die Wachstumsrate im 2 L und im 2000 L Maßstab berechnet werden. Danach wurde ein kinetisches Modell des Wachstums der Zellen etabliert, was die Vorhersage aller Raten auch in fed-batch Kulturen erlaubt. Die Kinetik basiert auf der Monod-Kinetik modifiziert mit einer variablen maximalen spezifischen Wachstumsrate. Das kinetische Modell erlaubt eine rechnerische Optimierung der Substratzuführung für eine maximale Produktion. Damit wurde gezeigt, dass aus makroskopischen Daten, d.h. ohne intrazelluläre Messungen, wesentliche Informationen erhalten werden können, mit denen neue Experimente in einem industriellen Umfeld vorhergesagt werden können. Diese innovative und systematische Vorgangsweise eröffnet neue Perspektiven für die Reduzierung von Kosten und für eine Beschleunigung der Prozessentwicklung

A scalable mining of frequent quadratic concepts in d-folksonomies

Folksonomy mining is grasping the interest of web 2.0 community since it represents the core data of social resource sharing systems. However, a scrutiny of the related works interested in mining folksonomies unveils that the time stamp dimension has not been considered. For example, the wealthy number of works dedicated to mining tri-concepts from folksonomies did not take into account time dimension. In this paper, we will consider a folksonomy commonly composed of triples and we shall consider the time as a new dimension. We motivate our approach by highlighting the battery of potential applications. Then, we present the foundations for mining quadri-concepts, provide a formal definition of the problem and introduce a new efficient algorithm, called QUADRICONS for its solution to allow for mining folksonomies in time, i.e., d-folksonomies. We also introduce a new closure operator that splits the induced search space into equivalence classes whose smallest elements are the quadri-minimal generators. Carried out experiments on large-scale real-world datasets highlight good performances of our algorithm

Self-Modeling Based Diagnosis of Software-Defined Networks

Networks built using SDN (Software-Defined Networks) and NFV (Network Functions Virtualization) approaches are expected to face several challenges such as scalability, robustness and resiliency. In this paper, we propose a self-modeling based diagnosis to enable resilient networks in the context of SDN and NFV. We focus on solving two major problems: On the one hand, we lack today of a model or template that describes the managed elements in the context of SDN and NFV. On the other hand, the highly dynamic networks enabled by the softwarisation require the generation at runtime of a diagnosis model from which the root causes can be identified. In this paper, we propose finer granular templates that do not only model network nodes but also their sub-components for a more detailed diagnosis suitable in the SDN and NFV context. In addition, we specify and validate a self-modeling based diagnosis using Bayesian Networks. This approach differs from the state of the art in the discovery of network and service dependencies at run-time and the building of the diagnosis model of any SDN infrastructure using our templates

Towards a semantic and statistical selection of association rules

The increasing growth of databases raises an urgent need for more accurate methods to better understand the stored data. In this scope, association rules were extensively used for the analysis and the comprehension of huge amounts of data. However, the number of generated rules is too large to be efficiently analyzed and explored in any further process. Association rules selection is a classical topic to address this issue, yet, new innovated approaches are required in order to provide help to decision makers. Hence, many interesting- ness measures have been defined to statistically evaluate and filter the association rules. However, these measures present two major problems. On the one hand, they do not allow eliminating irrelevant rules, on the other hand, their abun- dance leads to the heterogeneity of the evaluation results which leads to confusion in decision making. In this paper, we propose a two-winged approach to select statistically in- teresting and semantically incomparable rules. Our statis- tical selection helps discovering interesting association rules without favoring or excluding any measure. The semantic comparability helps to decide if the considered association rules are semantically related i.e comparable. The outcomes of our experiments on real datasets show promising results in terms of reduction in the number of rules