abstract: Electrolyte and cell volume regulation is essential in physiological systems. Despite its importance, mathematical modeling in this area is relatively sparse. After a brief introduction to cell volume control and electrophysiology, I will discuss the classical pump-leak model of electrolyte and cell volume control. This classical model will then be generalized to a system of partial dierential equations (PDE) modeling cell-level electrodiusive and osmotic phenomena. A simplied version of this model will then be applied to study osmosis-driven cell movement. Osmosis-driven and the conventional actin-driven cell movement will be compared theoretically and computationally in terms of its properties, focusing in particular on energy expenditure.