Background: The isatin molecule is present in many natural substances, including plants and animals, and is used to prepare compounds with various biological activities. Objectives: To synthesize a new series of isatin derivatives with the expectation that they will have antimicrobial activity. Methods: Thiazole Schiff bases were synthesized from various Mannich bases of isatin to evaluate their antimicrobial properties. Initially, Mannich bases (2a–e) were synthesized by reacting isatin with formaldehyde and different secondary amines. Subsequently, they were treated with 2-aminothiazole to yield the final compounds (3a–e). Spectroscopic characterization was done via FT-IR and 1H-NMR. The antimicrobial screening was conducted on all derivatives. Molecular docking and ADMET analysis were performed on the final compounds, comparing them with standard drugs (ciprofloxacin and fluconazole). Results: The antimicrobial activity was assessed on two Gram-positive bacteria, Staphylococcus aureus and Bacillus licheniformis; two Gram-negative bacteria, Escherichia coli and Acinetobacter baumannii; and one fungus species, Candida albicans. Molecular docking has recorded higher docking scores for 3d and 3e compared to ciprofloxacin and fluconazole. The virtually active molecules showed an adequate drug-like profile and desired pharmacokinetic properties in the ADMET analysis. Conclusions: Most derivatives displayed significant antimicrobial activity, with compound 3e being the most active, followed by compound 3b. Molecular docking revealed higher scores for compound 3e compared to fluconazole and for compounds 3d and 3e compared to ciprofloxacin. ADMET analysis of compound 3e showed excellent absorption, consistent with its strong GIT absorption.
In this paper, we introduce a new type of functions in bitopological spaces, namely, (1,2)*-proper functions. Also, we study the basic properties and characterizations of these functions . One of the most important of equivalent definitions to the (1,2)*-proper functions is given by using (1,2)*-cluster points of filters . Moreover we define and study (1,2)*-perfect functions and (1,2)*-compact functions in bitopological spaces and we study the relation between (1,2)*-proper functions and each of (1,2)*-closed functions , (1,2)*-perfect functions and (1,2)*-compact functions and we give an example when the converse may not be true .
In this paper, we are mainly concerned with estimating cascade reliability model (2+1) based on inverted exponential distribution and comparing among the estimation methods that are used . The maximum likelihood estimator and uniformly minimum variance unbiased estimators are used to get of the strengths and the stress ;k=1,2,3 respectively then, by using the unbiased estimators, we propose Preliminary test single stage shrinkage (PTSSS) estimator when a prior knowledge is available for the scale parameter as initial value due past experiences . The Mean Squared Error [MSE] for the proposed estimator is derived to compare among the methods. Numerical results about conduct of the considered
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