The optimization problem of drug release based on the multilaminated drug-controlled release devices has been solved in this paper under the inverse problem solution scheme. From the viewpoint of inverse problem, the solution of optimization problem can be regarded as the solution problem of a Fredholm integral equation of first kind. The solution of the Fredholm integral equation of first kind is a well-known ill-posed problem. In order to solve the severe ill-posedness, a modified regularization method is presented based on the Tikhonov regularization method and the truncated singular value decomposition method. The convergence analysis of the modified regularization method is also given. The optimization results of the initial drug concentration distribution obtained by the modified regularization method demonstrate that the inverse problem solution scheme proposed in this paper has the advantages of the numerical accuracy and antinoise property.

中文翻译：

---

解决多层设备药物控制释放优化问题的逆问题解决方案。

在逆问题解决方案下，解决了基于多层药物控释装置的药物释放优化问题。从反问题的角度来看，最优化问题的解可以看作是第一类Fredholm积分方程的解问题。第一类Fredholm积分方程的解是一个众所周知的不适定问题。为了解决严重的不适性，提出了一种基于Tikhonov正则化方法和截断奇异值分解方法的修正正则化方法。还给出了改进的正则化方法的收敛性分析。