Search

In this paper, we introduce the concept of j-hom-derivation, j ∈ {1, 2} and solve the new generalized additive-quadratic functional equations in the sense of ternary Banach algebras. Moreover, using the fixed point method, we prove its Hyers-Ulam stability. [ABSTRACT FROM AUTHOR]

In this paper, we introduce the concept of C*-ternary 3-Jordan derivation on the C*-ternary algebras. Then we prove that the 3-linearity and Ulam-Hyers stability of the functional equation ... in C*-ternary algebras. [ABSTRACT FROM AUTHOR]

In this paper, we define C*-ternary quadratic 3-homomorphisms associated with the quadratic mapping f(x + y) + f(x - y) = 2f(x) + 2f(y), and prove the Hyers-Ulam stability of C*-ternary quadratic 3-homomorphisms. [ABSTRACT FROM AUTHOR]

Bone structures facilitate the regeneration and repair of bone tissue in regions where it has been damaged or destroyed, either temporarily or permanently. Therefore, the bone's fatigue strength and durability are crucial to its efficacy and longevity. Several variables, such as the construct's material qualities, design, and production procedure, loading and unloading cycles, and physiological conditions influence the endurance life of bone constructs. Metals, ceramics, and polymers are all routinely utilized to create bone substitutes, and each of these materials has unique features that might affect the fatigue strength and endurance life of the final product. The mechanical performance and capacity to promote bone tissue regeneration may be affected by the scaffold's design, porosity, and pore size. Researchers employ mechanical testing under cyclic loading circumstances as one example of an experimental approach used to assess bone construction endurance. These analyses can give us important information about the stress-strain behavior, resistance to multiple loading cycles, and fatigue strength of the new structure. Predicting the endurance life of the developed construct may also be possible with the use of simulations and numerical analyses. Hence, in order to create reliable and efficient constructs for bone tissue engineering, it is crucial to understand their fatigue strength and durability. The purpose of this study is to analyze the effective parameters for fatigue strength of bone structures and to gather the models and evaluations utilized in endurance life assessments., Competing Interests: The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest., (Copyright © 2024 Seraji, Nahavandi, Kia, Rabbani Doost, Keshavarz, Sharifianjazi, Tavamaishvili and Makarem.)

In this investigation, low molecular weight polyethyleneimine (LMW PEI; 1.8 kDa branched PEI) was conjugated to phathalated dextrin. The aim of this chemical modification was to decorate PEI molecules with a hydrophilic layer to improve its biophysical properties while the phthalic moiety may improve the hydrophilic-hydrophobic balance of the final structure. The polymers were prepared at various conjugation degrees ranging from 6.5% to 16.5% and characterized in terms of biophysical characteristics as well as their gene transfer ability and cell-induced toxicity. The results showed that dextrin-phthalated-PEI (DPHPEI) polymer was able to form nanoparticles with the size range of around 118-170 nm, with the zeta potential of 6.2-9.5 mV. DPHPEI polymers could increase the level of desired protein expression in the cells by up to three folds compared with unmodified LMW PEI while the cell viability of the modified polymers was around 80%. The result of this study shows a promising approach to improve the transfection efficiency of LMW PEI while maintaining its low toxic effects., (© 2024 American Institute of Chemical Engineers.)

DPP4 inhibitors can control glucose homeostasis by increasing the level of GLP-1 incretins hormone due to dipeptidase mimicking. Despite the potent effects of DPP4 inhibitors, these compounds cause unwanted toxicity attributable to their effect on other enzymes. As a result, it seems essential to find novel and DPP4 selective compounds. In this study, we introduce a potent and selective DPP4 inhibitor via structure-based virtual screening, molecular docking, molecular dynamics simulation, MM/PBSA calculations, DFT analysis, and ADMET profile. The screened compounds based on similarity with FDA-approved DPP4 inhibitors were docked towards the DPP4 enzyme. The compound with the highest docking score, ZINC000003015356, was selected. For further considerations, molecular docking studies were performed on selected ligands and FDA-approved drugs for DPP8 and DPP9 enzymes. Molecular dynamics simulation was run during 200 ns and the analysis of RMSD, RMSF, Rg, PCA, and hydrogen bonding were performed. The MD outputs showed stability of the ligand-protein complex compared to available drugs in the market. The total free binding energy obtained for the proposed DPP4 inhibitor was more negative than its co-crystal ligand (N7F). ZINC000003015356 confirmed the role of the five Lipinski rule and also, have low toxicity parameter according to properties. Finally, DFT calculations indicated that this compound is sufficiently soft., (© 2024. The Author(s).)