The invention-base pump module comprises a linear pump channel which is curved at least in sections, a pump channel inlet and a pump channel outlet, wherein the pump channel inlet and the pump channel outlet are connected with the pump channel for supplying a fluid into the pump channel and discharging a fluid from the pump channel, so that through a periodically rotating deformation of the membrane a fluid can be pumped through the pump channel from the pump channel inlet to the pump channel outlet, wherein in the section between the pump channel inlet and the pump channel outlet the pump channel is designed in a way that differs from a genuine circular design.