A catheter (10) for controlling blood perfusion pressure, the catheter comprising: an elongated body configured for placement within section of a supply artery, the elongated body having a proximal open end (12), a distal open end (14), and at least one lumen (15) extending between the proximal open end and the distal open end; and a cannula (16) configured to extend through an opening in the section of the supply artery, the cannula comprising a hollow interior in fluid communication with at least one of the at least one lumens of the elongated body. The catheter is configured so that when in use and when the proximal open end and the distal open end are each positioned within the section of the supply artery, a first quantity of blood flowing through the supply artery flows through the supply artery, into the distal end of the elongated body, through the at least one lumen, and out of the proximal end of the elongated body back into the supply artery, and a second quantity of blood flows through the hollow interior of the cannula and out of a proximal end of the cannula and ultimately into a vein directly or indirectly connected to the cannula without requiring an external pump to pump blood through the catheter.