Title: Mathematical modelling and analysis of oxygen transportation in the various corneal layers

Authors: Aadesh Kumar; Deepti Seth; Bholey Singh

Addresses: Department of Applied Science, GL Bajaj Group of Institutions, Mathura, Uttar Pradesh, 281406, India ' Department of Applied Science, KIET Group of Institutions, Ghaziabad, Uttar Pradesh, 201206, India ' Department of Applied Science, GL Bajaj Group of Institutions, Mathura, Uttar Pradesh, 281406, India

Abstract: Mathematical modelling is a strong tool to study corneal tissue in depth. The amount of oxygen consumed by the human cornea is a crucial factor to take into account while assessing its physiology. More precise corneal metabolism modelling is necessary to obtain correct oxygen-consumption kinetics. This prevents a physical negative oxygen tension in the cornea by employing nonlinear Monod kinetics to characterise the local oxygen consumption rate in a medically suitable manner. The oxygen tension of the tear film is also calculated using Monod kinetics in an unsteady-state reactive-diffusion model for the cornea. It is false to say that healthy eyes do not absorb oxygen through the Bowman's and Descemet's membrane layers. The distribution of partial pressure and oxygen consumption for each corneal layer are predicted by this study using a comprehensive analysis based on Fick's law and Monod kinematics.

Keywords: corneal tissue; Bowman's layer; Descemet's membrane; consumption; Monod kinematics.

DOI: 10.1504/IJBRA.2023.139144

International Journal of Bioinformatics Research and Applications, 2023 Vol.19 No.5/6, pp.370 - 385

Received: 31 Aug 2023
Accepted: 30 Oct 2023
Published online: 14 Jun 2024 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article