A system and method for increasing the speed of blood and the wall shear stress in a peripheral artery or peripheral vein to a sufficient level and for a sufficient period of time to result in a persistent increase in the overall diameter and lumen diameter of the donating artery or donating vein is provided. The method includes systems and methods to effect the movement of blood at the desired rate and in the desired direction. The movement of blood is monitored and adjusted, as necessary, to maintain the desired blood speed and wall shear stress in the peripheral artery or vein in order to optimize the rate and extent of persistent diameter increase of the peripheral artery or peripheral vein.