Research On Parameter Inversion Of Drug Release System Based On Time Fractional Diffusion Equation

Drug controlled release system refers to a controlled release system that achieves a specific drug release target by controlling internal design parameters.At present,a large number of papers have studied on drug release behavior or release mechanism,and few studies have been done to optimize the drug controlled release parameters.Therefore,this paper will establish an efficient numerical solution scheme for the time fractional diffusion model,and combine with the improved cuckoo algorithm to optimize the control parameters,so as to achieve the expected drug release target.B-spline wavelet method has shown good performance in integer order model,but less in fractional order model.Based on the definition of Caputo derivative and cubic B-spline scaling function,an iterative solution scheme of B-spline wavelet method is proposed for time fractional diffusion equation.By comparing with other methods through numerical examples,we demonstrate the efficiency and practicability of this method.Aiming at the drug release behavior of multi-layer plate drug controlled release system,the fractional order differential operator is used to model and establish the fractional order diffusion model to realize the reasonable prediction of drug release process.The influence of different internal control parameters on drug release behavior was discussed,which provided a certain basis for parameter optimization.For the optimization of drug release behavior,this paper converts it to inverse problem.The optimization design of drug controlled release is reduced to the problem of parameter identification based on diffusion equation.In order to realize the multi parameter inversion control,this paper introduces the niche cuckoo intelligent optimization algorithm to inverse calculate the initial drug concentration in the controlled-release system,model order and other design optimization problems,which effectively solves the problem that cuckoo algorithm is easy to fall into local extreme value.According to the three release targets of constant rate release,linear reduction release and nonlinear release,the optimal control parameters were designed,which provided a certain reference value for the optimal design of drug controlled release system.