A new framework for the modelling of corneal epithelial wound healing is presented, which can include the presence of a physiological electric field. The difficulty inherent in the inclusion of this biological phenomenon motivates our use of a moving boundary formalism. A key conclusion is that the model predicts a linear relation between the wound healing speed and the physiological electric field strengths over a physiologically large range of electric field strength. Another key point is that this linear relationship between electric field strength and wound healing speed is robust to variations in critical parameters that are difficult to estimate. The linearity is also robust to different realizations of the modelling framework presented.