A system with at least one inflatable member configured for being arranged in a part of the patient's respiratory tract includes a catheter carrying the at least one inflatable member. The catheter includes a fluid line for filling the inflatable member with a fluid; and a pressure monitoring and control member to be arranged outside the patient's body. The pressure monitoring member is in fluid communication with the inflatable member and is configured to receive, during operation, fluid from the inflatable member when the pressure increases above a predetermined threshold pressure and to return the received fluid when the pressure decreases below said predetermined threshold pressure. The pressure monitoring and control member is an elastically expandable balloon made from a material configured to expand elastically when the pressure in the balloon increases above a predetermined threshold pressure and to contract when the pressure decreases below said predetermined threshold pressure.