Particle Size Distribution Model Fitting and Goodness-of-Fit Evaluation

Six mathematical models were selected for the fitting and regression of the particle size distribution (PSD) of (& alpha;,Z)-2-amino-& alpha;-(methoxyimino)-4-thiazole-ethanethioic acid S-2-benzothiazolyl ester (MAEM). The goodness-of-fit was evaluated by comparing the evaluation indexes such as R-2, Akaike's information criterion (AIC), and root mean square error (RMSE). The top three selected models were further applied and compared for the PSD of MAEM produced under two different stirring speeds with distinct differences in regression coefficients. In addition, FBRM monitored the particle number trends on a lab scale under these stirring speeds. Finally, a feasible reaction mechanism was presented in which the dissolution of reactants was the rate-controlling step which could explain the significant influence on stirring speed.

Automated summary

Six mathematical models were used to fit and regress the particle size distribution (PSD) of MAEM. The goodness-of-fit was evaluated using R-2, AIC, and RMSE. The top three models were applied and compared for MAEM PSD under two different stirring speeds. FBRM was used to monitor particle number trends on a lab scale. A feasible reaction mechanism was presented, indicating the influence of stirring speed on the rate-controlling step of reactant dissolution.