A pump includes a housing defining a tube receiving portion and a blade mounted for reciprocating movement between first and second positions. In its first position, the leading edge of the blade compresses a length of tube against a first surface disposed in the tube-receiving portion, while in the second position, the blade does not compress the tube. The tube-receiving portion can receive the tube directly or indirectly through a tube set detachably mounted to the housing. The tube set includes a tube and a base having first and second end portions that respectively define first and second tube-receiving apertures for slidably receiving a length of the tube therethrough. The base has a first surface constructed to engage the length of tube between the apertures for compression by the pump blade.