A system for increasing an overall diameter and a lumen diameter of a peripheral donating artery of a human patient prior to creation of an arteriovenous fistula or an arteriovenous graft using at least a portion of the peripheral donating artery, the system comprising: a pump-conduit assembly to remove oxygenated blood from the peripheral donating artery and pump said blood into an accepting location being a jugular vein, a subclavian vein, a brachiocephalic vein, a superior vena cava, a iliac vein, an inferior vena cava, or a right atrium, the pump-conduit assembly including: a pump having an inlet and an outlet, the pump able to move oxygenated blood into the accepting location at a flow rate sufficient to cause a persistent increase in the overall diameter and the lumen diameter of the peripheral donating artery; a first conduit having: a first inlet configured to fluidly connect to the peripheral donating artery; and a first outlet fluidly connected to the inlet of the pump, the first conduit comprising a first segment of the first conduit configured to be secured to the peripheral donating artery such that the first conduit and the first inlet are in fluid communication with the peripheral donating artery, the first conduit being configured to remove oxygenated blood from the peripheral donating artery; and a second conduit having: a second outlet configured to fluidly connect to the accepting location; and a second inlet fluidly connected to the outlet of the pump, the second conduit comprising an intravascular catheter portion configured for insertion into the accepting location, the second conduit being configured to move oxygenated blood to the accepting location; one or more sensors (66, 67) configured to measure system parameters, the measured system parameters including the diameter of the peripheral donating artery and the rate of blood flow in the peripheral donating artery; and a control unit in communication with the one or more sensors (66, 67), the control unit being configured to: compute a wall shear stress in the peripheral donating artery based on the measured system parameters; and automatically control a speed of the pump based on the computed wall shear stress so as to control a rate of blood flow from the peripheral donating artery at a rate to maintain a mean wall shear stress in the peripheral donating artery within a range between 2.5 Pa and 10 Pa for a period of 7 days to 84 days. a pump having an inlet and an outlet, the pump able to move oxygenated blood into the accepting location at a flow rate sufficient to cause a persistent increase in the overall diameter and the lumen diameter of the peripheral donating artery; a first conduit having: a first inlet configured to fluidly connect to the peripheral donating artery; and a first outlet fluidly connected to the inlet of the pump, the first conduit comprising a first segment of the first conduit configured to be secured to the peripheral donating artery such that the first conduit and the first inlet are in fluid communication with the peripheral donating artery, the first conduit being configured to remove oxygenated blood from the peripheral donating artery; and a second conduit having: a second outlet configured to fluidly connect to the accepting location; and a second inlet fluidly connected to the outlet of the pump, the second conduit comprising an intravascular catheter portion configured for insertion into the accepting location, the second conduit being configured to move oxygenated blood to the accepting location; one or more sensors (66, 67) configured to measure system parameters, the measured system parameters including the diameter of the peripheral donating artery and the rate of blood flow in the peripheral donating artery; and a control unit in communication with the one or more sensors (66, 67), the control unit being configured to: compute a wall shear stress in the peripheral donating artery based on the measured system parameters; and automatically control a speed of the pump based on the computed wall shear stress so as to control a rate of blood flow from the peripheral donating artery at a rate to maintain a mean wall shear stress in the peripheral donating artery within a range between 2.5 Pa and 10 Pa for a period of 7 days to 84 days.