An apparatus for treating edema by applying pressure to a patient's limb includes a sleeve that is surroundingly engageable with the limb, and the sleeve includes a plurality of flexible open-ended cells for holding respective individually inflatable replaceable bladders. Also, a fluid pump is in fluid communication with each of the bladders. The apparatus also includes a plurality of electrically-operated bladder valves, and each valve is disposed between the pump and a respective one of the bladders for selectively establishing a respective pathway for fluid communication between the pump and the associated bladder. A computer individually controls each valve to variably pressurize the bladders in a variable sequence. The computer also includes means for determining the girth of the limb being treated, and to periodically monitor the apparatus for fluid leaks.