A diversity of heterocyclic compounds (3, 6–8, 9, 11 and 12) linked 4‑hydroxy-1-methylquinoline-2(1H)one moiety have been synthesized from ring opening ring closure reaction (RORC) of 4‑hydroxy-6-methyl-3-nitro-2H-pyrano[3,2-c]quinoline-2,5(6H)‑dione (2) with various nucleophilic reagents namely hydrazine hydrate, phenylhydrazine, 3-hydrazino-5,6-diphenyl-1,2,4-triazine (4), 7‑chloro-4-hydrazino quinoline (5), 3-amino-1,2,4-triazole, 2-aminobenzimidazole and 3-amino-4,6-dimethyl-1H-pyrazolo[3,4-b]pyridine (10). The biological efficiency of the synthesized compounds against hepatocellular carcinoma cell lines (HepG-2) was analyzed both experimentally and theoretically (topoisomerase IIβ protein). Compound 12 (IC50=4.36 µM/L) has the highest anticancer activity against HepG-2 cell lines in comparison with the positive control (Cis-platin). The synthesized compounds were optimized by DFT/B3LYP functionality using the 6–311G++(d,p) basis set. Frontier molecular orbital analysis using global reactivity parameters indicated that compounds 1 and 12 have the largest) ∆E = 4.268 eV) and smallest) ∆E = 3.344 eV) energy gap, respectively. Thus, compound 1 (η= 2.134 eV) is harder than other compounds and has high stability. While compound 12 (S = 0.598eV-1) is softer than other compounds and more reactive. MEP surface and Fukui function were used to show charge distribution and show reactive zones within the molecules. For further validate of the NMR results, GIAO method was utilized to evaluation the 1HNMR and 13CNMR chemical shifts which were then correlate with the experimental spectra. Non-linear optical (NLO) behavior was further studied and compared to urea, which is a prototype substrate, and found to be greater than that of urea. Swiss-ADME (absorption, distribution, metabolism and excretion) analysis was performed to examine the drug-likeness properties of the current compounds. Finally, using the topoisomerase IIβ protein (PDB ID: 4G0U) receptor, molecular docking studies were used to examine the binding interactions of the synthesized compounds and correlated with anticancer activity.
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