These indexes represent a strictly topological quantity plausibly correlating with the charge distribution inside the molecule. In other words, the TCI estimates the charge transfer between pair of atoms, and hence the global charge transfer in the molecule. The JGI4 parameter varies within the investigated set from 0.040 (compound check details 1, unsubstituent) to 0.016 (compound 17, for which R1-OH, R2-2-OMe, 5-Cl, and R3-H). In Fig. A in the Supplementary file, the differences in the distribution of the electrostatic charge in compounds 1 and 17 are visualized. Because the sign of the regression

coefficient is negative, an increase of this predictor values will result in a decrease in AA activity. This suggests that some unique charge distribution is needed for increase AA activity. The PCR descriptor is related to the molecular complexity of the graph (Trinajstic, 1992) i.e., to molecular branching and size as derived from the ratio of multiple path count over path count and it is sensitive to the PU-H71 substituent position within the investigated set as it varies from 1.182 (compound 31, for which O(CO)NHnB substituent R1 and H substituted R2 and R3) to 1.309 (complex derivative 21, for which of R1-OH, R2-2-OEt and R3-3,3-diPh). Because the sign of the regression

coefficient is positive, a decrease of this predictor will result in a decrease in AA stimulation. Our earlier qualitative investigations (SAR) led us to similar conclusions (Kulig et al., 2007; Nowaczyk et al., 2009, 2010).

The remaining parameter of the find more model (Hy) is the hydrophilic factor. It is a simple empirical index related to the hydrophilicity of compounds. In our data set the Hy index varies between −0.8 and 0.4. According to the sign of the BETA coefficient (Table 5), an increase in the hydrophilicity of the compounds will result in an increase in the predicted feature, although the relatively low absolute BETA values indicate that their significance in the model is not crucial. Conclusions In this study we have developed a mathematical model Etomidate for the prediction of the AA activity of a series of 1-[3-(4-arylpiperazin-1-yl)propyl]pyrrolidin-2-ones containing various substituents on the aryl, propyl, and pyrrolidin-2-one moieties. The resulting model displays a good fit with the experimental data, with a correlation coefficient of 0.95 and explains up to 91% of the variance. In addition, the cross-validation coefficients reflecting the predictive power of the regression, Q LOO 2 is 0.74, and Q LMO 2 is 0.74. The Y-scrambling test proved that the good statistics obtained for Eq. 1 are not due to chance correlation or structural dependency of the training set. In addition, the external test showed a Q EXT 2 of 0.86 which proves a good predictability of the AA by the model (Eq. 1).