The introduction and removal of cryoprotective agents (CPA) to a kidney via vascular perfusion may induce changes in cell volume that are destructive to the tubular epithelial or capillary endothelial cells as well as causing significant increases in vascular resistance that compromise the perfusion process. A network thermodynamic model of the coupled osmotic, hydrodynamic and elastic properties of the kidney was applied to evaluate the sensitivity of these critical outputs to a set of physiological and perfusion variables. Simulation results suggest that in the design of perfusion protocols for CPAs such as glycerol, it may be advantageous to: (a) select a CPA with as high a cell membrane permeability as possible; (b) increase the concentration of mannitol in the perfusate to about 200 mos/kg, beyond which there is no discernible benefit; (c) when glycerol is the CPA, limit the rate of reduction in the perfusate during removal to 30 mM/min or less; (d) limit the perfusion pressure to 20-30 mm Hg, within the practical constraints of the perfusion system; (e) increase the concentration of impermeant in the perfusate to as high as 400 mos/kg, although it is recognized that this departure from plasma-like composition might impose other problems that are not considered in this model. Further, it was observed that the vascular membrane permeability plays a relatively minor role in controlling cellular osmotic injury and vascular perfusion resistance and is therefore not a critical parameter in the perfusion design process.