Programmable volumetric medical infusion pump and their administration sets comprising tubes, intravenous lines, medical clips, medical ports and medical racks; Programmable medical infusion instrument for global and interactive management of mono- and multi-channel infusion; infusion medical instrument, namely, an infusion diagnostic instrument for data capture and data processing; multi-channel analyzing, programming and monitoring systems, namely, intravenous drug administration instruments consisting of infusion pumps, syringe pumps and parts therefor for use in medical care facilities, general wards, intensive care units, operating rooms and emergency rooms; appliances and instruments comprising the above device, namely, syringe pumps, volumetric pumps, disposables, racks for concentration of the main supply and of the infusion configuration and maintenance; medical apparatus, namely, infusion sets; medical apparatus for drug administration, namely, infusion pumps, syringe pumps, intravenous tubes, intravenous lines, medical clips, medical ports, medical racks, medical power converters and cables, back pressure medical instruments, medical calibration gauges and verification gauges; medical apparatus, namely, clamps and needle free ports for ambulatory and transportable intravenous drug administration sets and infusion sets