A pump module is provided for use in a medical fluid dispensing system that includes a pump body made of a non-compliant material and first and second pump chambers formed in the body. Each of the chambers has a first, open end and an opposite, closed end. The pump module further includes first and second pistons in the first and second pump chambers, respectively. At least one fluid inlet and a fluid outlet are selectively in fluid communication with the first and second pump chambers. Each of the pistons extends through the open end of a respective one of the pump chambers, with each of the pistons being operably translatable within the pump chamber toward and away from the closed end of the chamber. The pistons are translatable independently of one another.