abstract a blood pump system for persistently increasing the overall diameter and lumen diameter of peripheral veins and arteries by persistently increasing the speed of blood and the wall shear stress in a peripheral vein or artery for a period of time sufficient to result in a persistent increase in The overall diameter and lumen diameter of the vessel is provided. The blood pump system includes a blood pump, blood conduit (s), a control system with optional sensors, and a power source. the pump system is configured to connect to the vascular system in a patient and blood pump at a desired rate and pulsatility. the pumping of blood is monitored and adjusted, as necessary, to maintain the desired elevated blood speed, wall shear stress, and desired pulsatility in the target vessel to optimize the rate and extent of persistent increase in the overall diameter and lumen diameter of the target vessel. ********************************* Summary of the Summary Patent Summary: "Blood Pump Systems and Methods" . The invention relates to a blood pump system for persistently increasing the total diameter and lumen diameter of peripheral veins and arteries by persistently increasing blood velocity and wall shear stress in a peripheral vein or artery over a period of time. sufficient time to result in a persistent increase in the total diameter and lumen diameter of the vessel. The blood pump system includes a blood pump, blood conduit (s), a control system with optional sensors, and a power source. The pump system is configured to connect to a patient's vascular system and pump blood at a desired rate and pulsability. Blood pumping is monitored and adjusted as necessary to maintain the desired blood velocity, wall shear stress and desired pulsability in the target vessel to optimize the rate and extent of persistent increase in vessel total diameter and lumen diameter. target. 20502793v1 1/1 20502793v1abstract a blood pump system for persistently increasing the overall diamet