Abstract Liver cancer remains a major global health challenge, necessitating the development of new therapeutic agents. In this study, a series of 1,2,4,5-tetrasubstituted imidazole derivatives were synthesized via a green, one-pot four-component reaction using the recyclable deep eutectic solvent [Bet]2[PTSA] under solvent-free conditions, affording high yields. Among them, compounds 16d, 16j, and 16n exhibited notable cytotoxicity against HepG2 cells, with 16n showing the strongest activity (IC50 = 32.54 µM), outperforming camptothecin. Molecular docking and dynamics simulations revealed strong and stable binding of 16n to GLUT1, involving key residues such as Trp388, Asn288, and Trp412. Structure-activity relationship (SAR) analysis indicated that phenolic hydroxyl and para-methoxy...

Abstract In this paper, an initial boundary value problem for a class of fourth-order viscoelastic wave equations is examined. Firstly, the local existence and uniqueness of solutions are proved by the linear approximation and the Faedo-Galerkin method. Next, a specified case of the original problem is considered. Then, under suitable assumptions and by continuity arguments, the corresponding problem admits a global solution. Finally, the energy estimates are reasonably constructed to show that the solution generally decays with small positive initial energy. Nguyen, H.H., Nguyen, A.T., Le, T.P.N. and Nguyen, T.L. (2026) Communications on Analysis and Computation, 8, pp. 64–96. DOI:...

Abstract The extensive use of pesticides and synthetic dyes poses critical threats to food safety, human health, and environmental sustainability, necessitating rapid and reliable detection methods. Raman spectroscopy offers molecularly specific fingerprints but suffers from spectral noise, fluorescence background, and band overlap, limiting its real-world applicability. Here, we propose a deep learning framework based on ResNet-18 feature extraction, combined with advanced classifiers, including XGBoost, SVM, and their hybrid integration, to detect pesticides and dyes from Raman spectroscopy, called MLRaman. The MLRaman with the CNN–XGBoost model achieved a predictive accuracy of 97.4% and a perfect AUC of 1.0, while it with...