Pump system, control unit and method for operating a pump system

A pump system comprising

• a diaphragm fluid pump which can be fluidically connected to a heart and/or at least one blood vessel by means of an inlet cannula and an outlet cannula and is adapted for generating a pulsatile fluid flow for supporting a cardiac activity of the heart,
• a working pressure source connected to the diaphragm fluid pump by means of a pressure line and adapted for providing a working pressure for driving the diaphragm fluid pump,
• a control unit adapted for controlling the working pressure,
• a first flow sensor adapted for detecting a first cannula flow signal corresponding to an inlet flow in the inlet cannula or an outlet flow in the outlet cannula,
• a working pressure sensor adapted for detecting a working pressure signal corresponding to the working pressure in the pressure line,
• the pulsatile fluid flow comprising a plurality of consecutive pumping cycles, the cardiac activity comprising a plurality of consecutive cardiac cycles, and each of the pumping cycles comprising a filling phase and an emptying phase,
• wherein the control unit is further adapted
• to determine a time offset between a first point in time that occurs during a first pumping cycle and a second point in time that occurs during a first cardiac cycle,
• to determine a hemodynamic parameter set, comprising one or more hemodynamic parameters, based on the time offset and/or the first cannula flow signal and/or the working pressure signal, and
• based on a control specification as a specification for the hemodynamic parameter set and/or for the time offset, to determine a time specification as a specification for a beginning and/or a duration of the filling phase and/or the emptying phase of the first pumping cycle and/or at least one second pumping cycle that occurs temporally after the first pumping cycle such that the control specification is achieved.