| Popis: |
Based on the observed data for Clarithromycin released, three commonly used in∞ow models: the power, the exponential, and the logarithmic models are considered. Among them, the power model is used most in practice for simplicity. Using the numerical parameter estimation techniques, the parameters appeared in the model equations are estimated. Through the numerical estimation results using the several experimental data sets, the exponential model turns out to be best among the three models. More specifl- cally, the sum of squares of absolute errors and the sum of squares of relative errors for the exponential model are reduced by 80-95 % for the experimental data sets and 60-90 % for the noise added data sets compared with those for the power and logarithmic mod- els. A typical experimental data set is used in this paper to show the estimation method and its numerical results. The proposed nu- merical method and its algorithm are designed for estimating the parameters appeared in the model difierential equations for which the exact form of the solution is unknown in general. The method- ology developed can be applied to more general cases such as the nonlinear ordinary difierential equations or the partial difierential equations. |
