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DISPERSAL OF HYDROGEN IN THE RETINA—A THREE-LAYER MODEL

Part of: Physiological, cellular and medical topics

Published online by Cambridge University Press:  10 May 2022

W. F. MANSOOR Open the ORCID record for W. F. MANSOOR [Opens in a new window] ,
G. C. HOCKING Open the ORCID record for G. C. HOCKING [Opens in a new window]  and
D. E. FARROW Open the ORCID record for D. E. FARROW [Opens in a new window]
W. F. MANSOOR
Affiliation:
Department of Mathematics, College of Education for Pure Sciences-Ibn Al-Haitham, University of Baghdad, Baghdad, Iraq; e-mail: wafaa.mansoor2@murdoch.edu.au Mathematics & Statistics, Murdoch University, Perth, WA, Australia
G. C. HOCKING*
Affiliation:
Mathematics & Statistics, Murdoch University, Perth, WA, Australia
D. E. FARROW
Affiliation:
School of Physics, Mathematics and Computing, University of Western Australia, Perth, WA, Australia; e-mail: duncan.farrow@uwa.edu.au
*
e-mail: g.hocking@murdoch.edu.au
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Abstract

Two simple mathematical models of advection and diffusion of hydrogen within the retina are discussed. The work is motivated by the hydrogen clearance technique, which is used to estimate blood flow in the retina. The first model assumes that the retina consists of three, well-mixed layers with different thickness, and the second is a two-dimensional model consisting of three regions that represent the layers in the retina. Diffusion between the layers and leakage through the outer edges are considered. Solutions to the governing equations are obtained by employing Fourier series and finite difference methods for the two models, respectively. The effect of important parameters on the hydrogen concentration is examined and discussed. The results contribute to understanding the dispersal of hydrogen in the retina and in particular the effect of flow in the vascular retina. It is shown that the predominant features of the process are captured by the simpler model.

Keywords

mathematical modelblood flowhydrogen clearanceretinal circulation

MSC classification

Secondary: 92C30: Physiology (general) 92C35: Physiological flow
Type
Research Article
Information
The ANZIAM Journal , Volume 64 , Issue 1 , January 2022 , pp. 1 - 22
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Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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