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RESEARCH PRODUCT

QSPR/QSAR Studies of 2-Furylethylenes Using Bond-Level Quadratic Indices and Comparison with Other Computational Approaches

Facundo Pérez-giménezStephen J. BarigyeYovani Marrero-ponceYunaimy Echeverría-díazEugenio R. Martinez Albelo

subject

Vertex (graph theory)Quantitative structure–activity relationshipQuadratic equationDiscriminantMolecular descriptorStochastic matrixMoleculeGeneral ChemistryBiological systemStability (probability)Mathematics

description

The recently introduced, non-stochastic and stochastic quadratic indices (Marrero-Ponce <em>et al. J. Comp. Aided Mol. Des.</em> 2006, 20, 685-701) were applied to QSAR/QSPR studies of heteroatomic molecules. These novel bond-based molecular descriptors (MDs) were used for the prediction of the partition coefficient (log P), and the antibacterial activity of 34 derivatives of 2-furylethylenes. Two statistically significant QSPR models using non-stochastic and stochastic bond-based quadratic indices were obtained (R<sup>2</sup> = 0.971, s = 0.137 and R<sup>2</sup> = 0.986, s = 0.096). These models showed good stability to data variation in leave-one-out (LOO) cross-validation experiment (q<sup>2</sup> = 0.9975, s<sub>CV</sub> = 0.164 and q<sup>2</sup> = 0.947, s<sub>CV</sub> = 0.114). The best two discriminant models computed using the non-stochastic and stochastic molecular descriptors had globally good classification of 94.12% in the training set. The external prediction sets had accuracies of 100% in both cases. The comparison with other approaches (edge- and vertexbased connectivity indices, total and local spectral moments, quantum chemical descriptors as well as with other TOMOCOMD-CARDD MDs) revealed the good performance of our method in this QSPR study. The obtained results suggest that it is possible to obtain a good estimation of physical, chemical and physicochemical properties for organic compounds with the present approach.

https://doi.org/10.29356/jmcs.v57i1.239