The invention relates to a pump module a base pump module and a pump system comprising a pump module and a base pump module. The pump module (1) according to the invention comprises a base part (2) and an elastically deformable membrane (4) the base part (2) and the membrane (4) forming a linear pump channel (5) which is curved in at least some sections. The base part (2) has a pump channel inlet (6) and a pump channel outlet (7) the pump channel inlet (6) and the pump channel outlet (7) being connected to the pump channel (5) for supplying a fluid to the pump channel (5) and leading it off therefrom such that a periodically circulating deformation of the membrane (4) allows a fluid to be pumped through the pump channel (5) from the pump channel inlet (6) to the pump channel outlet (7).
