Global Stability Analysis of Healthy Situation for a Coupled Model of Healthy and Cancerous Cells Dynamics in Acute Myeloid Leukemia

In this paper we aim to study the global stability of a coupled model of healthy and cancerous cells dynamics in healthy situation of Acute Myeloid Leukemia. We also clarify the effect of interconnection between healthy and cancerous cells dynamics on the global stability The interconnected model is obtained by transforming the PDE-based model into a nonlinear distributed delay system. Using Lyapunov approach, we derive necessary and sufficient conditions for global stability for a selected equilibrium point of particular interest (healthy situation). Simulations are conducted to illustrate the obtained results

Computational analysis of the behavior of atmospheric pollution due to demographic, structural factors, vehicular flow and commerce activities

According to the latest assessments made by the world health organization (WHO2016), the atmospheric pollution (air), has become one of the main causes of morbidity and mortality in the world, with a steep growth of respiratory diseases, increase in lung cancer, ocular complications, and dermis diseases [1,2,3]. Currently, there are governments which still underestimate investments in environmental care, turning their countries into only consumers and predators of the ecosystem [1,2,3]. Worldwide, several cities have been implementing different regional strategies to decrease environmental pollution, however, these actions have not been effective enough and significant indices of contamination and emergency declarations persist [1,2,3]. Medellín is one of the cities most affected by polluting gases in Latin America due to the high growth of construction sector, high vehicular flow, increase in commerce, besides a little assertive planting trees system, among other reasons [1,2,3]. With the purpose of providing new researching elements which benefit the improvement of air quality in the cities of the world, it is pretended to mathematically model and computationally implement the behavior of the flow of air, e.g., in zones in the city of Medellín to determine the extent of pollution by tightness, impact of current architectural designs, vehicular transport, high commerce flow, and confinement in the public transport system. The simulations allowed to identify spotlights of particulate tightness caused by architectural designs of the city which do not benefit air flow. Also, recirculating gases were observed in different zones of the city. This research can offer greater knowledge around the incidence of pollution generated by structures and architecture. Likewise, these studies can contribute to a better urban, structural and ecological reordering in cities, the implementation of an assertive arborization system, and the possibility to orientate effective strategies over cleaning (purification) and contaminant extracting systems

Imagerie des fistules arterio-veineuses durales a drainage veineux peri -medullaire

Les fistules durales rachidiennes à drainage veineux périmédullaire constituent une pathologie d’individualisation récente. C’est les plus fréquentes des malformations vasculaires vertébromédullaires,elles se présentent sous la forme d’une myélopathie spastique progressive chez un sujet de plus de 40 ans. A partir d’une étude rétrospective des données cliniques et explorations radiologiques d’une série de 11 cas en IRM et artériographie médullaire, nous avons recensé l’ensemble des signes radiologiques qui orientent le diagnostic. L’IRM a montré un hypersignal T2 centromédullaire de façon constante ainsi que des vaisseaux périmédullaires pathologiques. L’angiographie médullaire reste l’examen clé pour le diagnostic. Elle a permit de montrer dans dix cas le shunt artério-veineux ainsi que ses afférences artériels et son retour veineux, permettant de planifier le traitement. Huit patients ont été pris en charge chirurgicalement avec exclusion de la fistule suivie d’une amélioration clinique. L’imagerie joue aussi un rôle important dans le suivi postthérapeutique. L’IRM permet de mettre en évidence la disparition progressive des anomalies initiales, signede l’efficacité du traitement. Les fistules artério-veineuses à drainage veineux périmédullaire sont une pathologie qui reste encore méconnue. La connaissance de tous ces éléments d’imagerie est fondamentalepour un diagnostic et une prise en charge précoces, seuls garants d’une bonne évolution après traitement

A generalized empirical interpolation method : application of reduced basis techniques to data assimilation

In an effort to extend the classical lagrangian interpolation tools, new interpolating methods that use general interpolating functions are explored. The method analyzed in this paper, called Generalized Empirical Interpolation Method (GEIM), belongs to this class of new techniques. It generalizes the plain Empirical Interpolation Method by replacing the evaluation at interpolating points by application of a class of interpolating linear functions. The paper is divided into two parts: first, the most basic properties of GEIM (such as the well-posedness of the generalized interpolation problem that is derived) will be analyzed. On a second part, a numerical example will illustrate how GEIM, if considered from a reduced basis point of view, can be used for the real-time reconstruction of experiments by coupling data assimilation with numerical simulations in a domain decomposition framework

An Empirical Study on the information systems in the Moroccan organizations: An explanatory model to decide differently and to optimize the IT governance

An information system, it's the key point of the success of companies [5] [6]. Where from the necessity of investing to develop information systems, these investments concern to infrastructures, application software's, set up systems, and existing processes. Companies have to follow policies to manage well their investment of information systems in an economic and optimal way, it is the subject of this paper. To validate our subject, our hypothesis, a study of ground was necessary. We opted for an empirical study on the information systems of the high-level Moroccan organizations in various sectors, by basing itself on scientific foundations. The study and the data analysis allowed us to propose new simplified models