| The swollen polymer matrix,also known as hydrogel,is formed by cross-linking of a network.Due to the special nature of the structure,it absorbs a lot of water solvents without solvation.In recent years,with the development of drug delivery system,swollen polymer matrix has been widely used in the field of control-released oral tablets medicine because of its biocompatibility.And then,control-released oral tablets have become the research focus of domestic and foreign with the advantage of stable physical and chemical properties.However,these tablets are difficult to design and manufacture due to the complex diversity of functions,structures and manufacturing methods.Therefore,theoretical mathematical models that can accurately predict drug re lease profile are urgently needed to guide design,manufacturing and optimization.Furthermore,the release of the drug in the tablet from the swollen polymer matrix is a complex physicochemical process,which has the characteristics of multi-disciplinary and involves multiple physicochemical mechanisms.Therefore,it is of great significance to establish a mathematical model to deeply study the mechanism and to analyze the regulation of controlled drug release.On the one hand,precise experimental observation phenomena can be combined with mathematical models to explore the mechanism to reveal new drug release mechanisms.On the other hand,due to the limitations of labor cost and time cost in the experimental environment,it is necessary to simulate through mathematical models.Therefore,this paper will establish a mathematical model on the drug release process of the swollen polymer matrix,and discuss in detail the effects of polymer swelling,drug diffusion and water molecule osmosis.In this thesis,the mathematical model of drug release is established based on Fick’s diffusion law,coupling multiple physical fields such as water molecular penetration,drug diffusion and polymer swelling.Through the finite element numerical simulation method,the effects of solubility,diffusion coefficient,porosity and other factors on the drug release process were explored;Through the above mathematical model,the multidimensional swelling deformation of polymer matrix is simulated based on the hygroscopic swelling and the corresponding viscoelastic constitutive relationship;Through the corresponding phase field parameters,the transition process of the gel from the glassy state to the rubbery state is also simulated.In conclusion,the model can simulate the polymer swelling and drug release process at multi-dimensional scale of swollen polymer matrix.Moreover,this work also further discusses the key factors affecting the drug release profile,and summarizes a set of laws of parameter regulation of controlled drug release system,which lays a foundation for the structural design of subsequent drug delivery system.At the same time,this law can greatly shorten the labor time cost of experimental research and development,and provide a favorable theoretical basis for formulating the best optimization scheme.In summary,this study provides a theoretical basis for the research,development,design and application of swollen polymer matrix as drug carrier in the field of drug sustained(controlled)release. |