초록
Tablet product design problem was structured as constrained optimization problem and subsequently solved by multiple regression analysis and Lagrangian method of optimization. We used Lagrangian method for the purpose of finding the reason of the previous results. Biodiastase and cellulase were the enzymes, chosen, $Avicel{\circledR}$ and corn starch or calcium carboxy methyl cellulose were the binder and disintegrant, respectively. The effect of the dry binder and disintegrant concentration on tablet hardness, friability, volume, disintegration time was recorded. Optimization of this parameter was studied by using the constrained optimization method. In addition to finding a optimal condition of the enzyme tablets, the application of sensitivity analysis studies to such problems was also illustrated. In order to get a stable preparations of the enzyme tablets, accelerated test of coating tablets was carried out in this study. the results are as follows. 1) The minimum disintegration time, such that the average tablet volume did not exceed 0.0154 cubic inch and the average friability value did not exceed 0.62%, was 6.6 minutes and then $Avicel{\circledR}$ and corn starch were 15.4% and 17.2%, respectively. 2) The multiple-correlation coefficients for the regression models of tablet hardness, friability, disintegration time and volume were with in the 95% confidence range. 3) According to the test results, calcium carboxymethyl cellulose can be used as a disintegrant instead of corn starch.