Nonlinear DSEK Model: A Novel Mathematical Model that Predicts Stability in Ocular Parameters after Descemet’s Stripping Endothelial Keratoplasty

Abstract

This work comprises of development and analysis of a new mathematical model based on Descemet’s Stripping Endothelial Keratoplasty (DSEK). Formulating the nonlinear system of ordinary differential equations to describe changes occuring in ocular parameters during DSEK for scarred cornea, is a unique perspective. In this paper, the formation of the model and the existence of its solution is proved. The stability of DSEK model is discussed by the Jacobian matrix and its eigen values are examined. Also this DSEK model is proved to be uniformly and Lipschitz continuous.