Solubility prediction of drugs in water-polyethylene glycol 400 mixtures using Jouyban-acree model

A numerical method is proposed for predicting solubility of drugs in water-PEG 400 mixtures based on the Jouyban-Acree cosolvency model. The accuracy of the proposed method is evaluated by computing mean percentage deviation (MPD) and compared with that of log-linear model of Yalkowsky. The overall MPDs of the Jouyban-Acree model and the most accurate version of Yalkowsky's model are 39.8 (+/-46.7) % and 175.8 (+/-266.4) %, respectively, and the mean difference is statistically significant (p < 0.0005). The proposed method produces acceptable residual distribution and the probability of solubility prediction with residual log of solubility <0.5 unit is 0.86. The applicability of the proposed method could be extended for predicting the solubility of drugs in water-PEG 400 mixtures at various temperatures. The impact of various log P values computed using different software is also studied and the results of ANOVA revealed that there are no significant differences between the accuracy of the predicted solubilities employing various log P values.