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Étude mathématique et numérique de l’équation de poisson avec des conditions mixtes
(2026) BENABI Anes; BENKHEDDA Hanane
This memoir is dedicated to the study and numerical approximation of solutions to the Poisson problem, a fundamental model of elliptic partial differential equations. In a first step, we established the theoretical framework by recalling Green’s formulas and introducing Sobolev spaces, the natural functional framework of variational analysis. We then demonstrated, using the Lax-Milgram theorem, the existence and uniqueness of the weak solution of the problem. In a second step, we developed a numerical approximation using the finite element method on a conforming triangular mesh, studying two types of elements : P1 elements (affine polynomials) and P2 elements (quadratic polynomials). For each, we constructed the canonical basis of shape functions, established the discrete variational problem, and showed that it reduces to solving a linear system AX = b, where the stiffness matrix A is symmetric positive definite, hence invertible.
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Synthesis and Characteristics of Metal Organic Frameworks (MOFs) with Applications
(2026) Bentrari Faiza; Argoub Asmaa
MOF-5 and its urea-functionalized composite were synthesized at room temperature using a sonochemical approach and subsequently characterized by various structural and functional techniques. Their antibacterial activity was evaluated using the agar well diffusion test (AWDT) against Staphylococcus aureus ATCC 33862 and Pseudomonas aeruginosa ATCC 27853. Hygroscopic properties and Zn2+ ion release kinetics were also investigated. The results showed that urea incorporation preserved the crystalline structure of MOF-5 while enhancing its water-retention capacity and enabling prolonged Zn2+ ion release. Microbiological assays demonstrated significant antibacterial activity for both materials, with superior performance of the MOF-5@CO(NH2)2 composite, particularly against P. aeruginosa (inhibition zone of 23 mm compared to 17 mm for pristine MOF-5). These findings confirm the effectiveness of the sonochemical approach for producing nanostructures with synergistic properties. This study highlights the potential of the MOF-5@CO(NH2)2 composite as a promising material for the development of smart wound dressings with both moisturizing and antibacterial functions, paving the way for future investigations into its biocompatibility and integration into polymeric matrices for biomedical applications.
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Modèle intelligent pour le diagnostic médical Application aux données multimodales
(2026) Bouhacida Ibrahim; Saïm Sofiane; BENOMAR MOHAMMED LAMINE
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Étude, conception et analyse des performances d’un compresseur centrifuge
(2026) AGHA Chaima; HARCHOUCHE Zine el abidine
This study focuses on the modeling, simulation, and analysis of the aerodynamic performance of a centrifugal compressor using computational fluid dynamics (CFD) with ANSYS CFX software. A numerical model was developed to solve the conservation equations for mass, momentum, and energy, while incorporating appropriate physical models, including the k-ω SST turbulence model and rotational conditions. In a second step, a multi-response optimization approach was implemented to improve compressor performance. This optimization aims simultaneously to maximize the compression ratio and isentropic efficiency while reducing power consumption. After presenting the desirability function method, the optimization was applied to the response surfaces of the three parameters studied using Design-Expert 13 software. Finally, analysis of the optimal profile, the interactions between the parameters, and the robustness of the model allowed for the identification of an optimal operating point, validated under near-real-world conditions.
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Évaluation des paramètres biochimiques chez les femmes enceintes atteintes de l’hypothyroïdie
(2026) Ladjali Ikhlas; Lasri Konouz el ikhlas; KHOLKHAL Fatima
Hypothyroidism during pregnancy is a common endocrine disorder that can affect the mother’s health and the development of the foetus. Thyroid hormones play a vital role in maintaining metabolic balance and ensuring a healthy pregnancy. Impaired thyroid function can lead to various biological disturbances that may increase the risk of obstetric and neonatal complications. The aim of this study was to assess certain biochemical parameters in pregnant women with hypothyroidism. To this end, a comparative study was conducted involving 60 pregnant women divided into two groups: a group of 30 patients with hypothyroidism and a control group comprising 30 healthy pregnant women. The parameters studied included thyroid-stimulating hormone (TSH), free thyroxine (FT4), fasting blood glucose and total cholesterol. The results showed an increase in mean TSH levels and fasting blood glucose levels in pregnant women with hypothyroidism compared with the control group. In contrast, there were no significant differences in FT4 and total cholesterol levels between the two groups. The study also highlighted a higher incidence of certain obstetric complications in hypothyroid patients. In conclusion, hypothyroidism during pregnancy is associated with biological changes that may influence the course of pregnancy. These results underscore the importance of early screening, regular biological monitoring and appropriate management to improve the maternal- foetal prognosis.