North-Caucasus Federal University

Computational homogenization of unsteady flows in a periodic porous medium

The work is devoted to the development and computational implementation of the homogenization method for modeling unsteady flows of a viscous incompressible fluid in periodic porous media taking into account memory effects. At the macrolevel, the flow is described by an integro-d...

Temperature Field Monitoring of an Aluminum Electrolyzer for Lining Defect Diagnosis

Aluminum production is one of the most energy-intensive metallurgical processes, where maintaining the electrolytic cell’s thermal balance is critical to ensuring energy efficiency and equipment service life. Damaging the cathode lining is a serious problem, leading to premature...

Medical tourism as a tool of preventive medicine

Objective. To substantiate the role of medical tourism for preventive medicine system considering morbidity patterns in the Stavropol Krai and the Russian Federation. Material and methods. Regulatory framework, data from the Federal State Statistics Service (2020—2024) and practi...

Splitting Schemes for Problems with Memory

Abstract The paper considers the Cauchy problem for a first-order integro-differential equation with memory in a finite-dimensional Hilbert space. The main computational difficulty of such problems is the need to store and process the solution at all previous time levels. To over...

TMSCl–DMSO Mediated Synthesis and Biological Evaluation of Functionalized 1,2,4-Thiadiazoles and Bis(pyrid-2-yl)disulfides

Abstract Oxidation of 3-aryl–2-cyanothioacrylamides in the trimethylchlorosilane-DMSO system leads to the formation of functionalized 1,2,4-thiadiazoles in 58–71% yields. Oxidation of 2-thioxo-1,2-dihydropyridine-3-carbonitriles under the same conditions gives the corresponding b...

Toward AI-Assisted Precision Diagnostics in Breast Cancer: Source-Group-Preserving Evaluation of Class-Imbalance Strategies for Ordered ER-IHC Segmentation

Background/Objectives: Estrogen receptor immunohistochemistry (ER-IHC) exhibits heterogeneous staining and substantial class imbalance, complicating segmentation of ordered expression categories. We evaluated whether class weighting, minority-focused crop sampling, adaptive minor...