Title: Mathematical models of drug delivery via a contact lens during wear Show Chinese title

Title: 通过佩戴期间接触镜给药的数学模型

Abstract: In this work we develop and investigate mathematical and computational models that describe drug delivery from a contact lens during wear. Our models are designed to predict the dynamics of drug release from the contact lens and subsequent transport into the adjacent pre-lens tear film and post-lens tear film as well as into the ocular tissue (e.g. cornea), into the eyelid, and out of these regions. These processes are modeled by one dimensional diffusion out of the lens coupled to compartment-type models for drug concentrations in the various accompanying regions. In addition to numerical solutions that are compared with experimental data on drug release in an in vitro eye model, we also identify a large diffusion limit model for which analytical solutions can be written down for all quantities of interest, such as cumulative release of the drug from the contact lens. We use our models to make assessments about possible mechanisms and drug transport pathways through the pre-lens and post-lens tear films and provide interpretation of experimental observations. We discuss successes and limitations of our models as well as their potential to guide further research to help understand the dynamics of ophthalmic drug delivery via drug-eluting contact lenses. Show Chinese abstract

Abstract: 在本工作中，我们开发并研究描述佩戴隐形眼镜期间药物从隐形眼镜释放的数学和计算模型。 我们的模型旨在预测药物从隐形眼镜释放的动力学，以及随后向相邻的镜前泪液层和镜后泪液层以及眼组织（例如角膜）、眼睑以及这些区域之外的传输过程。 这些过程通过隐形眼镜中的一维扩散建模，并与各个伴随区域中的药物浓度的隔室模型相结合。 除了与体外眼模型中的药物释放实验数据进行比较的数值解外，我们还确定了一个大扩散极限模型，对于所有感兴趣的量（如药物从隐形眼镜的累积释放）都可以写出解析解。 我们使用这些模型对镜前和镜后泪液层中可能的机制和药物传输路径进行评估，并对实验观察结果进行解释。 我们讨论了模型的成功之处和局限性，以及它们在指导进一步研究方面的潜力，以帮助理解通过药物释放型隐形眼镜进行的眼科药物输送动力学。