Abstract: A method of kidney dialysis by operation of a kidney dialysis machine includes use of unique AVF or a AVG sets or needle-like venous catheter whose blood-flow tubes are equipped with respective injection/administration port structures or fittings for the introduction of required or desired drugs or other additives into the body of a patient through an A-V access fistula or graft during operation of the machine or following disconnection from the machine while still emplaced in the body of a patient.