At least 48 hours after the last dose of G-CSF and after the third leukapheresis, patients receive the second priming, which consists of cyclophosphamide IV over 2 hours on day 1 and cytarabine IV over 1 hour every 12 hours for a total of 2 doses on day 1. Patients also receive mitoxantrone IV over 1 hour daily and dexamethasone IV every 12 hours for a total of 4 doses on days 1-2. Patients receive G-CSF SQ daily beginning on day 4 and continuing until the completion of leukapheresis. PBSC are collected on 3 consecutive days after blood counts recover.