 Participants in this study will receive Bortezomib and carboplatin through a catheter tube placed in a vein. This is Day 1 of therapy. Bortezomib is given first over 5 to 10 seconds followed by carboplatin over one hour. Bortezomib is then given alone on Days 4, 8, and 11. There is no treatment given on Days 12-28. One course of therapy is 28 days long and includes one dose of carboplatin and 4 doses of Bortezomib. All treatment is given on an outpatient basis at M. D. Anderson. 