Irving's procedure This procedure calls for placing two ligatures (sutures) around the fallopian tube and removing the segment of tubing between the ligatures. Then to complete the procedure, the ends of the fallopian tubes are connected to the back of the uterus and the connective tissue respectively.[6] This method was pioneered by the merican Obstetrician-Surgeon, Frederick Carpenter Irving (1883–1957) in 1924.