During the study, you will have up to 6 cycles of treatment. A cycle is made up of treatment with the study drugs for 3-4 days and then about 3-1/2 weeks (25 days) of no treatment (about 4 weeks total). Treatment with the study drugs will be given for 4 days in a row on the first cycle, and 3 days in a row on Cycles 2-6. On Day 1 of each cycle, you will receive rituximab through a needle in a vein. On Cycle 1, since it is your first exposure to rituximab, it must be given slowly, so it may take 6-8 hours to complete. On the cycles after that, it can be given more rapidly, over 3-4 hours. Cyclophosphamide and fludarabine will be given separately through a needle in a vein on Days 2-4 of Cycle 1 and Days 1-3 of Cycles 2-6. Cyclophosphamide and fludarabine will each be given over 30 minutes. Bevacizumab will be given through a needle in a vein over 90 minutes on Day 3 of Cycle 1. If it is well tolerated, the next dose of Bevacizumab will be given over 60 minutes on Day 2 of Cycle 2. If the Cycle 2 dose is well tolerated, the next doses of Bevacizumab will be given over 30 minutes on Day 2 of Cycles 2-6. In addition to the study drugs, you may also be given fluids by vein to help flush the kidneys, to help prevent possible kidney damage. You may receive up to 6 cycles of treatment. Treatment will be given on an outpatient basis. The injections for each daily treatment visit should take less than 6 hours.~Up to 66 patients will take part in the study. All will be enrolled at M.D. Anderson.
The goal of this clinical research study is to learn if the combination of fludarabine, cyclophosphamide, rituximab, and bevacizumab is effective in treating chronic lymphocytic leukemia in patients who have already been treated with chemotherapy. The safety of this treatment will also be studied.