MT2014-25: Haplo NK With SQ IL-15 in Adult Relapsed or Refractory AML Patients

Inclusion Criteria (Recipient): * Meets ONE of the following disease criteria: 1. Primary AML induction failure: no CR after 2 or more induction attempts 2. Relapsed AML or Secondary AML (from MDS or treatment related): not in CR after 1 or more cycles of standard re-induction therapy 3. AML relapsed \> 2 months after transplant: No re-induction required, and no more than 1 re-induction cycle is allowed. 4. Relapsed AML for patients \> 60 years of age the 1 cycle of standard chemotherapy is not required if either of the following criteria is met: * Relapse within 6 months of last chemotherapy * BM blast count \< 30% within 10 days of starting protocol therapy * Available related HLA-haploidentical donor (aged 14 to 75 years) by at least Class I serologic typing at the A\&B locus * Karnofsky Performance Status ≥ 60% * Patients must have adequate organ within 14 days (28 days for pulmonary and cardiac) of study registration * Able to be off prednisone or other immunosuppressive medications for at least 3 days prior to NK cell infusion (excluding preparative regimen pre-medications). * Agrees to use contraception prior to study entry and for the duration of study participation. Exclusion Criteria (Recipient): * Bi-phenotypic acute leukemia. * Transplant \< 60 days prior to study enrollment. * Active autoimmune disease. * History of severe asthma * Uncontrolled intercurrent illness * New or progressive pulmonary infiltrates on screening chest x-ray or chest CT scan that has not been evaluated with bronchoscopy * Pleural effusion large enough to be detectable on chest x-ray. * Pregnant women * History of HIV, active or chronic hepatitis B, hepatitis C or HTLV-I infection * Known hypersensitivity to any of the study agents used * Received investigational drugs within the 14 days of study registration. * Known active CNS involvement. Criteria For Initial Donor Selection: * Related donors (sibling, parent, offspring, parent or offspring of an HLA identical sibling). * 14-75 years of age. * At least 40 kilogram body weight. * In general good health as determined by the evaluating medical provider. * HLA-haploidentical donor/recipient match by at least Class I serologic typing at the A\&B locus. * Not pregnant. * Able and willing to undergo apheresis.