MOBILIZATION AND HSPC COLLECTION: Between the second and the last course of planned standard chemotherapy, patients undergo mobilization of peripheral blood stem cells with filgrastim subcutaneously (SC) beginning the day after the last dose of chemotherapy in the previous cycle. If CD34 cell count in peripheral blood at least 24 hours after recovery from nadir is >= 40 CD34 cells/mcL, patients will undergo apheresis collection the next day. If CD34 cell count is < 40 CD34 cells/mcL, plerixafor SC will be administered and patients will undergo apheresis collection the next day. Patients undergo apheresis until a total apheresis product of >= 4.0 x 10^6 CD34+ cells/kg are collected.