Mathematical modelling of corneal swelling
Mathematical modelling of corneal swelling
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DOI：
10.1007/s10237-004-0054-7
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发表时间：
2004-11-01
影响因子：
3.5
通讯作者：
Ruberti, JW
中科院分区：
文献类型：
--
作者：
Li, LY;Tighe, BJ;Ruberti, JW
本文提出了一个角膜传输系统的微分模型，该模型能够模拟厚度变化，以响应施加于任何一种限制膜的渗透扰动。这项工作旨在了解角膜在体内的行为。该模型考虑了角膜基质内以及穿过上皮膜和内皮膜的耦合粘性流动。基质内的流动是基于多孔介质中的输运理论建立的，而穿过膜的流动则是用不可逆热力学的唯象方程来描述的。根据现有的实验数据测试了数值模型再现角膜厚度变化的能力，以响应内皮扰动。考察了模型对基质和膜转运系数变化的敏感性。
This paper presents a differential model of the corneal transport system capable of modelling thickness changes in response to osmotic perturbations applied to either limiting membrane. The work is directed towards understanding corneal behaviour in vivo. The model considers the coupled viscous flows within the corneal stroma and across the epithelial and endothelial membranes. The flows within the stroma are established based on transport theory in porous media, while the flows across the membranes are described using the phenomenological equations of irreversible thermodynamics. The ability of the numerical model to reproduce corneal thickness changes in response to endothelial perturbations was tested against available experimental data. The sensitivity of the model to changes in stromal and membrane transport coefficients was examined.