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

Dark matter via Baryogenesis: Affleck-Dine Mechanism in the Minimal Supersymmetric Standard Model

We conducted an investigation into Affleck-Dine baryogenesis within the context of D-term inflation, specifically focusing on its relationship with a recent reheating formalism. It was found that by considering a specific reheating temperature, the observed baryon asymmetry can be accounted through Affleck-Dine baryogenesis. Additionally, the majority of gravitinos are inferred to be generated from the decay of the next-to-lightest supersymmetric particle, with Q-balls potentially serving as a source of gravitinos via NSP decay. The temperature at which decay occurs depends on the charge of the Q-balls, which is determined by the fragmentation of the Affleck-Dine condensate. Remarkably, the gravitino mass required for dark matter aligns naturally with the theoretical gravitino mass.Comment: 11 pages, 4 figure

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

Análise de componentes principais no estudo da diversidade genética de caprinos.

Analisou-se dados biométricos de raças exóticas Toggenbourg, Saanen, Anglonubiana, Alpina e Boer. No Marrocos, foram amostrados caprinos locais Drâa, Zagora e Rhâali. Mensurou-se altura de cernelha (AC), altura da maçã do peito ao chão (AP) e comprimento de orelha (CO). A profundidade torácica foi calculada (AC-AP) e foram estabelecidos índices entre duas medidas corporais. As variáveis foram submetidas à análise de componentes principais (ACP) através do programa SAS v. 9.0. Do total de sete componentes, os dois primeiros foram suficientes para acumular 74,87% da variância total dos dados. Na representação gráfica da distribuição dos indivíduos, observou-se que Toggebourg, Saanen e Alpina ocuparam apenas os quadrantes esquerdos e Zagora apenas nos quadrantes direitos. Drâa ocupou os quadrantes superiores. Apresentaram menos identidade as populações de Rhâali, Boer e Anglo-nubiana, cujos indivíduos se dispersaram entre ambos os quadrantes inferiores e o superior direito. Estes resultados estão de acordo com o histórico e a distribuição geográfica das raças, alertam para a necessidade de outros estudos sobre os caprinos marroquinos. Os resultados da ACP foram consistentes, permitindo preconizá-la como uma técnica auxiliar em estudos futuros