{"title":"Mathematical Modeling of Oxygen Transport in theEye","authors":"Deepti Seth","doi":"10.5923/J.AM.20120204.01","DOIUrl":null,"url":null,"abstract":"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.","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":"2 1","pages":"94-99"},"PeriodicalIF":1.2000,"publicationDate":"2012-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5923/J.AM.20120204.01","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
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.
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.