Drainage of body fluid from a first area of the body to a target area of the body can be accomplished by interconnecting an artificial non-blood fluid conduit (50) with the venous and/or lymphatic system of the body. For example, an artificial non-blood fluid conduit can be inserted into the eye to fluidly interconnect the anterior chamber with a venous structure, such as an anterior ciliary vein, or lymphatic in a target location of the eye. The outflow end (54) of the conduit can be positioned adjacent to and/or cannulated (62) within the venous structure or lymphatic. Further, the conduit can optionally have an angiogenic material for stimulating growth of new blood vessels in the target location to fluidly interconnect the venous structure or lymphatic with the anterior chamber using the non-blood fluid conduit.
