To prevent intimal hyperplasia within a dialysis graft, a flexible tube comprising the dialysis graft is coated interiorly with an anticarcinogen or mitosis-inhibiting agent for preventing cell division. The graft can also be irradiated by directing light into the lumen of the tube that has been grafted to the patient's blood vessel. The light source can be a light emitting diode (LED) or a chemical light source, i.e., a chemiluminescent substance for producing cool light energy at the site of the graft in sufficient amount to prevent undesired cell proliferation within the vessels, within the graft, or surrounding tissue where the invention is used without detectable damage to body tissue. Visible light can be used, e.g., visible blue or red light or the combination can be produced by an incandescent lamp or other suitable lamp, an LED, a laser or chemical light source with wavelengths predominantly between about 300 nm to about 800 nm.
