Spontaneous respiration is detected by sensors. An additional amount of oxygen is administered to the lungs via a jet gas current at the end of an inhalation procedure. Breathing volume, absorption of oxygen during inhalation, and clearance of carbon dioxide during exhalation are improved. If required, the exhalation procedure of the patient can be arrested or slowed by a countercurrent to avoid a collapse of the respiration paths. An apparatus including an oxygen pump can be connected to an oxygen source and includes a tracheal prosthesis that can be connected via a catheter. The respiration detections sensors are connected to a control unit for activating the oxygen pump. The tracheal prosthesis includes a tubular support body with a connection for the catheter, and the sensors are associated with the support body. The tracheal prosthesis and jet catheter are dimensioned so the patient can freely breathe and speak without restriction.
