Mathematical Modeling of Transport Phenomena in Ocular System

Abstract

The present research work deals with the modeling and analysis of drug transport phenomena in the anterior and posterior chamber of the eye. To illustrate the drug delivery in the eye we frame the various mathematical models with the help of different anatomical properties of the eye. These models have been analyzed by using various analytical and numerical iterative schemes. To develop such models we used a different mathematical technique which is appropriate to every problem. The distribution of the medication within the vitreous body can be described using mathematical models. When the conditions fit the theory, the model s prediction for the same fundamental circumstances offers the drug concentration in the ocular system. The model of drug distribution was created utilizing boundary conditions and two-dimensional diffusion-based partial differential equations. We then retrieved the spital component and discussed the eigen values to create the model s solution. The analytical finding demonstrates that drug concentration decreases as vitreous depth increases. The fluctuation in injected drug concentration in the vitreous humor can be studied using this approach. Diffusion-based partial differential equations were utilized to represent the drug transport in vitreous humor mathematically. To solve the partial differential based model analytically, we used Gear s Method and main boundary conditions. For a numerical solution, we employed the Crank Nicolson method. Additionally, this includes a crucial connection between blood plasma circulation and flux for both adults and children. In order to illustrate the overview of drug distribution from the contact lens to the anterior section of the eye via the pre-cornea, we used diffusion-based partial differential equations coupled with beginning and boundary conditions that were established under controlled circumstances. To extend the amount of time that the medicine is available at the surface of the eye, the drug delivery method for contact lenses has been created.