Participants with unexplained anemia, and/or thrombocytopenia Known coagulopathy, platelet disorder or history of non-drug-induced thrombocytopenia History of thrombocytopenia with complications Known hypersensitivity to heparin or the presence of heparin-induced thrombocytopenia. Have a history of thrombocytopenia with complications DONOR: Thrombocytopenia < 150,000 cells /mm^3 at baseline evaluation Known adverse reactions to heparin (heparin-induced thrombocytopenia or any allergy) Thrombocytopenia <100 x 103/ml, not resulting from therapy Patients with documented contraindication to anticoagulation therapy such as heparin induced thrombocytopenia or a documented coagulopathy or hematologic disorder that would contraindicated undergoing treatment and use of the associated anticoagulant agents required during treatment Patients with a history of hypersensitivity to heparin or the presence of heparin-induced thrombocytopenia. Thrombocytopenia (< 125,000 platelets/mm^3) Platelets ? 75,000/mcL OR ? 50.000 if thrombocytopenia due to iBCL Secondary immune thrombocytopenia from any cause including lymphoma, chronic lymphocytic leukemia, and drug-induced thrombocytopenia hemoglobin level lower than 8 g/dL (5.0 mmol/L) or platelet count <75x10^9/L or history of heparin induced thrombocytopenia; History of coagulopathy, platelet disorder or history of non-drug induced thrombocytopenia Subjects with coagulopathies, including thrombocytopenia Platelets < 30,000/ mm3 for any reason, PT prolongation or thrombocytopenia that is not due to sepsis. History of adverse reaction to heparin such as heparin-induced thrombocytopenia Patients with known heparin induced thrombocytopenia Known other causes of thrombocytopenia Participants with known coagulopathy, platelet disorder or history of non-drug-induced thrombocytopenia A history of heparin-induced thrombocytopenia or hypersensitivity to heparin, enoxaparin, or pork products Secondary immune thrombocytopenia Drug induced thrombocytopenia Thrombocytopenia (<30,000/uL) Anemia (hemoglobin <11 mg/dL) or thrombocytopenia (platelets<100,000/?L). History of heparin-induced thrombocytopenia. Active autoimmune thrombocytopenia. Known hypersensitivity to heparin or the presence of heparin-induced thrombocytopenia Platelets < 150 mg/dL or history of thrombocytopenia Thrombocytopenia History of heparin induced thrombocytopenia Known allergy to heparin or aspirin or a history of heparin induced thrombocytopenia Grade >= 3 thrombocytopenia (platelets < 50 x 10^9/L) after the first 3 months of therapy with the TKI for patients with CML and platelets < 100 x 10^9/L for patients with MF after the first 3 months of therapy; thrombocytopenia must be either recurrent (i.e., second or greater episode of thrombocytopenia) or having required dose reductions of the TKI Thrombocytopenia that is considered to be unrelated to treatment with TKI or accelerated phase as defined above History of heparin induced thrombocytopenia Thrombocytopenia (platelet count < 50,000) Thrombocytopenia < 150 x 10(9)/L (< 150,000/µL) at baseline evaluation. Thrombocytopenia (platelets < 100,000 cells/uL)