Abstract

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

Author(s):: HUANG Fei1; XU Hongtao1; LEI Yuan2; QU Zhiguo3; 1. School of Energy and Power Engineering, University of Shanghai for Science and Technology, Shanghai 200093 China 2. Eye & E.N.T Hospital of Fudan University, Shanghai 200031, China 3. School of Energy and Power Engineering, Xian Jiaotong University, Xian 710049, China

Keywords:: Keywords: pilocarpine cornea drug accumulation administration mode mathematical model

Abstract:: 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.