The invention relates to an apparatus with sensing means suitable for sensing the inspiratory phase and the expiratory phase of each respiratory cycle of a respirated person from in each case at least one minimum and maximum amplitude of a circulation value within a single respiratory cycle, and with a computing device for calculating a variation of the amplitudes of the circulation value occurring within a said respiratory cycle. It is distinguished by the fact that the computing device is set up to assign each amplitude of the circulation value either to the inspiratory phase or to the expiratory phase and to determine the one extreme amplitude of the circulation value from the amplitudes assigned to the inspiratory phase and the other extreme amplitude of the circulation value from the amplitudes assigned to the expiratory phase, and to ascertain from the amplitude variation between the extreme amplitudes in the two phases of the respiratory cycle whether the haemodynamic stress caused by the assisted breathing is too high.