- Carfilzomib will be given on Days 1-2, 8-9, and 15-16 of each cycle. The carfilzomib infusion will be given over about 10 minutes during the first cycle. However if the dose is increased over the course of the trial, or if in one of the groups that joins the study at a higher dose level, the infusion will last about 30 minutes. All participants will remain at the clinic under observation for at least 1 hour following each dose of carfilzomib during Cycle 1 and after the Cycle 2 Day 1 dose.