Mathematical Modeling of Human Eye Affected by Increased Intraocular Pressure as a tool for the Prevention of Glaucoma

Abstract

This article is intended to provide information about the development of a project, in order to assist the diagnosis of glaucoma through mathematical modeling of the human eye affected by increased Intraocular Pressure IOP. For this purpose a database was obtained from “Santa Lucía” Medical Clinic in Quito, Ecuador. This database is not only formed by the values of intraocular pressure, but also by the tests that detect damage to the optic nerve in the vision field, and as extra data, the value of the thickness of the cornea. This complements the IOP measurement, since, the greater the thickness, the smaller the pressure reading will be, and when it is thinner, the IOP tends to rise. the difference in corneal thickness according to the type of glaucoma where indicates the central corneal thickness is reduced in patients with normal-pressure glaucoma, suggesting that the IOP is underestimated in the presence of thin corneas, however, the specific finding of values paquimetry consistently lower in patients with normal IOP and glaucomatous damage involves the hypothesis that there may be a relationship between structural alterations (cribriform plate) patients with thin corneas and increased susceptibility to glaucoma progression. The mathematical modeling is divided into three equations which relate the increase in IOP with damage to the nerve fiber layer and with the decrease of the visual field.