Abstract: An arrangement of equipment for the remote monitoring of bodily functions of a mammal under medical care, comprises: a function-measurement device to measure a physiological quantity relevant to bodily function; a first display unit disposed remotely from the function-measurement device and monitored by a responsible medical person, to display the measured values of the measured physiological quantity and a function characterization derived therefrom; an input unit disposed remotely from the function-measurement device, for the input of control commands for the function-measurement device, and to input warning signals; and a bi-directional public telecommunication-network connection with an outward channel between the function-measurement device and the first display unit and a return channel between the input unit and the function-measurement device, where, for each connected device, there is provided an interface adapted to a transmission protocol of the telecommunication network.