Study On Multi-parameter Optimization Method For Drug Controlled Release System Of Multi-laminated Device

Drug controlled release system of multi-laminated device can control the release behavior of the drug by regulating its internal parameters,and widely used in modern medicine because of its simple stru cture and safety for drug release.Therefore,the parameter optimization problem in this model has become one of the important research directions.Therefore,in order to achieve the expected target release behavior,this paper optimized the parameters in the controlled release system by the idea of regularization to solve the inverse problem or cuckoo search algorithm forward search in intelligent optimization method.For the mechanism of drug release in drug controlled release system of multi-laminated device,a variable coefficient diffusion equation was established to simulate drug release behavior.Since most variable coefficient diffusion equations cannot find an analytical solution,therefore,this paper proposes a high-order compact difference scheme to solve the variable coefficient diffusion equation,and the validity and convergence order of the difference scheme are proved by numerical examples and theoretical studies.A method for transforming the initial concentration distribution optimization problem of drugs in the variable coefficient diffusion equation into an inverse problem by using high-order compact difference scheme.Afterwards,for three kinds of target release behaviors,such as constant velocity release,linear reduction release,and nonlinear release,this paper uses the regularization method based on variational principle to solve the initial concentration of the drug,and finally makes the constant release,the linear release is released,and the nonlinear release is basically realized in the drug controlled release system.Therefore,the method of transforming inverse problem proposed in this paper and the regularization method can effectively optimize the initial concentration of drug in the controlled release system.Using the solution of the inverse problem can only optimize the initial concentration of the drug in the controlled release system.In order to optimize the controllable parameters such as initial drug concentration and diffusion coefficient in the controlled release system,this paper proposes a regularized cuckoo search algorithm based on the simplicity of the cuckoo search algorithm and the global search ability.And three kinds of solving objective functions were established for optimizing the initial concentration of the drug,the diffusion coefficient,and simultaneously optimizing the initial concentration and diffusion coefficient of the drug.For the three objective functions established,the idea of regularized cuckoo search algorithm forward search is used to optimize the initial concentration,diffusion coefficient,initial concentration of the drug and diffusion coefficient for constant velocity release,linear reduction release,and nonlinear release.With no losing of generality,this paper finds that due t o the synergistic effect,it is better to optimize multiple parameters at the same time than to optimize one parameter.In the process of optimizing parameters,in order to obtain a better drug controlled release system,this paper solves the problem of mo del layer selection by dynamic programming.Finally,using the optimal model obtained,the target release behavior of the drug is basically achieved.