Drainage of body fluid from an area of undesirably high pressure can be accomplished by interconnecting an artificial non-blood fluid conduit with the vascular system. For example, an artificial non-blood fluid conduit can be inserted into the eye to fluidly interconnect the anterior chamber with a location of lower pressure. The conduit can have a growth factor for stimulating growth of new blood vessels in the location of lower pressure to connect the new blood vessels with the non-blood fluid conduit.