We extend prior models for ion and water transport in corneal epithelial cells by Levin et al. [Invest. Ophthalmol. Vis. Sci. (2006) 47(1):306-316; (2004) 45(12):4423-4432] in order to determine their interaction with a thinning and hyperosmotic tear film. Each cell is considered as a compartment, and there is no variation along this hypothetical cornea. Thus, the cornea is approximated a stack of compartments with the tear film at the most anterior end, and a sequence of compartments representing cells extends posteriorly from the tear film.