眼内氧运输的数学模型

IF 1.2 Q2 MATHEMATICS, APPLIED Journal of Applied Mathematics Pub Date : 2012-08-31 DOI:10.5923/J.AM.20120204.01
Deepti Seth
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引用次数: 0

摘要

建立了一个简单的人眼稳态氧分布的数学模型。该模型介绍了被视网膜毛细血管包围的粗视网膜圆柱体。采用微扰技术对视网膜圆柱体的动脉端、中心区域和静脉端进行了归一化处理,得到了控制方程的解析解。得到了每个区域的解。通过图形给出了计算结果。讨论了重要参数对视网膜毛细血管浓度的影响。当轴向扩散很重要或可以忽略时,模型的结果可能有所帮助。
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Mathematical Modeling of Oxygen Transport in theEye
A simple mathematical model for the steady state oxygen distribution in the eye has been developed. The model introduces the krogh retinal cylinder surrounded by retinal capillary.The analytical solution to the governing equations are obtained in normalized forms by employing perturbation techniques for the arterial end ,the central region and the venous end of the retinal cylinder. Solutions are obtained for each of these regions. The computational results are presented through the graphs. The effect of important parameters on the retinal capillary concentration , are examined and discussed. The results of the model may contribute when axial diffusion is important and when it can be neglected.
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来源期刊
Journal of Applied Mathematics
Journal of Applied Mathematics MATHEMATICS, APPLIED-
CiteScore
2.70
自引率
0.00%
发文量
58
审稿时长
3.2 months
期刊介绍: Journal of Applied Mathematics is a refereed journal devoted to the publication of original research papers and review articles in all areas of applied, computational, and industrial mathematics.
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