Vaccine Therapy in Treating Patients With HER2-Negative Stage III-IV Breast Cancer

OUTLINE: This is a dose-escalation study. Patients are assigned to 1 of 4 arms. Arm 1: Patients receive CD105/Yb-1/SOX2/CDH3/MDM2-polyepitope plasmid DNA vaccine with recombinant human granulocyte-macrophage colony-stimulating factor (rhuGM-CSF) as 1 injection intradermally (ID) every 28 days for 3 months. Patients may also receive 2 additional booster STEMVAC vaccines at 3 and 9 months after the third vaccine in the absence of unacceptable toxicity or disease progression. ARM 2: Patients receive CD105/Yb-1/SOX2/CDH3/M2-polyepitope plasmid DNA vaccine with rhuGM-CSF as 2 injections ID every 28 days for 3 months. Patients may also receive 2 additional booster STEMVAC vaccines at 3 and 9 months after the third vaccine in the absence of unacceptable toxicity or disease progression. ARM 3: Patients receive CD105/Yb-1/SOX2/CDH3/MDM2-polyepitope plasmid DNA vaccine with rhuGM-CSF as 3 injections ID every 28 days for 3 months. Patients may also receive 2 additional booster STEMVAC vaccines at 3 and 9 months after the third vaccine in the absence of unacceptable toxicity or disease progression. ARM 4: Patients receive CD105/Yb-1/SOX2/CDH3/MDM2-polyepitope plasmid DNA vaccine with rhuGM-CSF as 2 injections ID every 28 days for 3 months. Patients may also receive 1 additional STEMVAC vaccine at 3 months after the third vaccine in the absence of unacceptable toxicity or disease progression. After completion of study treatment, patients are followed up twice yearly for up to 5 years.