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 linear pump channel (5) which is curved in at least some sections, 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 pump channel (5) allows a fluid to be pumped through the pump channel (5) from the pump channel inlet (6) to the pump channel outlet (7), the pump channel (5), in the section between the pump channel inlet (6) and the pump channel outlet (7), deviating from the shape of a perfect circular arc.