Axisymmetric dispersal of hydrogen in the retina
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 me...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-03-01
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| Series: | Partial Differential Equations in Applied Mathematics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818124004236 |
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| author | W.F. Mansoor G.C. Hocking D. Farrow B.A. Kalaf |
| author_facet | W.F. Mansoor G.C. Hocking D. Farrow B.A. Kalaf |
| author_sort | W.F. Mansoor |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-ecdf93695bdd4a1181ef5669c7da39c8 |
| institution | DOAJ |
| issn | 2666-8181 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj-art-ecdf93695bdd4a1181ef5669c7da39c82025-08-20T02:40:33ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812025-03-011310103710.1016/j.padiff.2024.101037Axisymmetric dispersal of hydrogen in the retinaW.F. Mansoor0G.C. Hocking1D. Farrow2B.A. Kalaf3Maths and Statistics, Murdoch University, Perth, Australia; Department of Mathematics, College of Education for Pure Science Ibn-AlHaitham, University of Baghdad, IraqMaths and Statistics, Murdoch University, Perth, Australia; Corresponding author.Maths and Statistics, Murdoch University, Perth, AustraliaDepartment of Mathematics, College of Education for Pure Science Ibn-AlHaitham, University of Baghdad, IraqThe 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.http://www.sciencedirect.com/science/article/pii/S2666818124004236Axisymmertic flowHydrogen clearanceRetina circulation |
| spellingShingle | W.F. Mansoor G.C. Hocking D. Farrow B.A. Kalaf Axisymmetric dispersal of hydrogen in the retina Partial Differential Equations in Applied Mathematics Axisymmertic flow Hydrogen clearance Retina circulation |
| title | Axisymmetric dispersal of hydrogen in the retina |
| title_full | Axisymmetric dispersal of hydrogen in the retina |
| title_fullStr | Axisymmetric dispersal of hydrogen in the retina |
| title_full_unstemmed | Axisymmetric dispersal of hydrogen in the retina |
| title_short | Axisymmetric dispersal of hydrogen in the retina |
| title_sort | axisymmetric dispersal of hydrogen in the retina |
| topic | Axisymmertic flow Hydrogen clearance Retina circulation |
| url | http://www.sciencedirect.com/science/article/pii/S2666818124004236 |
| work_keys_str_mv | AT wfmansoor axisymmetricdispersalofhydrogenintheretina AT gchocking axisymmetricdispersalofhydrogenintheretina AT dfarrow axisymmetricdispersalofhydrogenintheretina AT bakalaf axisymmetricdispersalofhydrogenintheretina |