Axisymmetric dispersal of hydrogen in the retina

W.F. Mansoor; G.C. Hocking; D. Farrow; B.A. Kalaf

doi:10.1016/j.padiff.2024.101037

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Axisymmetric dispersal of hydrogen in the retina

Journal article

Open access

Peer reviewed

Axisymmetric dispersal of hydrogen in the retina

W.F. Mansoor, G.C. Hocking, D. Farrow and B.A. Kalaf

Partial differential equations in applied mathematics : a spin-off of Applied Mathematics Letters, Vol.13, 101037

2025

DOI: https://doi.org/10.1016/j.padiff.2024.101037

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Abstract

Axisymmertic flow

Hydrogen clearance

Retina circulation

The human retina is supported by two distinct vascular systems: the highly vascular choroid located behind the retina, and the retinal vascular system, which is designed to minimally disrupt the light path. The avascular retinal layer, situated between these two layers, relies on the diffusion of metabolites through the tissue as it has no circulation. Diseases affecting the microvasculature, such as diabetes and hyper-tension can threaten oxygen supply to these layers, potentially leading to loss of sight. Accurately modeling retinal blood flow is crucial for understanding retinal oxygen supply and the complications arising from systemic vascular diseases. In this paper, we consider a model of just the choroid and avascular layer assuming axisymmetric flow and diffusion, identifying the dispersion pattern from the central region outward. This model captures several significant features of the exchange process and highlights the effects that must be considered in developing more sophisticated models and interpreting experimental results.

Details

Title: Axisymmetric dispersal of hydrogen in the retina
Authors/Creators: W.F. Mansoor - Murdoch University, College of Science, Technology, Engineering and Mathematics
G.C. Hocking - Murdoch University, Centre for Animal Production and Health
D. Farrow - Murdoch University
B.A. Kalaf - University of Baghdad
Publication Details: Partial differential equations in applied mathematics : a spin-off of Applied Mathematics Letters, Vol.13, 101037
Publisher: Elsevier B.V
Identifiers: 991005726583507891
Murdoch Affiliation: School of Mathematics, Statistics, Chemistry and Physics
Language: English
Resource Type: Journal article

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