Identifying Time-Dependent Drug Diffusion Parameters in the Cylindrical Tube by Optimal Algorithm

Abstract

First, a FD scheme based on a polar-coordinate diffusion optimization problem is derived. Next, an optimization algorithm to compute the partial derivatives is proposed. Third, the procedure for the time-dependent drug diffusion parameters is given. Finally, the numerical result shows the validity of the optimal method based on FD to extract the effective time-dependent drug diffusivity.