青光眼药物跨角膜输运数学模型及特性分析

为研究青光眼药物跨角膜输运特性，首先，通过实验结果修正了基于菲克第二定律的药物输运数学模型，验证了数学模型的可行性。其次，通过对数学模型的求解，分析了眼表给药浓度恒定、眼药膏以及受泪液清除作用的眼药水3种给药方式对药物进入眼球前房输运通量以及累积量的影响。结果表明，提高扩散系数可以缩短药物累积从非稳态阶段进入伪稳态阶段的时间，提高药物累积量；给出了不同给药方式下药物累积规律和后两种给药方式下药物进入眼球前房药物输运通量达到峰值的时间及峰值量。此结果可为建立更加完善的青光眼药物输运数学模型及青光眼药物设计提供理论分析基础。

An analysis on mathematical model of glaucoma drug delivery across cornea and its characteristic

Abstract: In order to study the characteristics of glaucoma drug delivery across cornea, the research was carried in the following steps: firstly, based on the experiments, the mathematical model of drug delivery based on Ficks second law was modified, and the feasibility of the mathematical model was verified secondly, through the solution of the mathematical model, the effects of three administration modes-drugs with constant composition for ocular surface, ointment, and eye-drops that are subject to tears-on the delivery volume and accumulative volume of drugs flowing in the anterior chamber of the eye were analyzed. The results show that the increase of diffusion coefficient can shorten the time of drug accumulation from the non-steady state to the pseudo-steady state, and increase the volume of drug accumulation. The results also show the rules of drug accumulation under different administration modes, as well as the peak time and peak volume of drug delivery in the anterior chamber of the eye under the latter two administration modes. All these results can provide a theoretical basis for the establishment of a more comprehensive mathematical model of glaucoma drug delivery and the design of glaucoma drugs.