A pumping mechanism is disclosed that includes a plurality of peristaltic pumping actuators configured to selectively and sequentially compress adjacent portions of a first portion of an at least partially compressible pumping element having an inlet that is upstream of an outlet. The plurality of pumping actuators are further configured to reciprocate at a common drive frequency with a first phase offset between each adjacent pair of pumping actuators. The pumping mechanism also includes at least one compensation actuator arranged to selectively compress a second portion of the at least partially compressible pumping element that is disposed between the first portion and the outlet. The at least one compensation actuator is configured to reciprocate at an optimal displacement and at a modulation frequency that is an integer multiple of the fundamental drive frequency and with a second phase offset between the at least one compensation actuator and the adjacent pumping actuator.