Phase 1: The active phase will last six weeks and include a clinic visit on the first day of the phase, laboratory testing between day 4 and 7, and weekly telephone contact throughout the phase. Subjects will receive allopurinol or placebo. Laboratory tests will be performed 4 to 7 days after starting the medication to screen for hepatic or bone marrow toxicity (AST, ALT, CBC), renal function (Cr), cyclosporin or tacrolimus level and serum uric acid. Evidence for toxicity, increased creatinine or unstable cyclosporin levels will lead to immediate discontinuation of allopurinol withdrawal from the study. The families will also be instructed to continue the daily blood pressure log started in the screening phase. At the end of the phase, prior to discontinuation of the allopurinol, children will again undergo 24hr ambulatory blood pressure monitoring. Children will repeat the 24-hour urine collection for the purpose of screening urinary nitrates and bradykinin.