Graft types used for HCTs. Upon harvest, grafts for HCT can be: unfractionated bone marrow, mobilized peripheral blood (PBSC) or cord blood that contain progenitors with multi- or dual lineage differentiation potential together with mature cells of different lineages. Alternative grafts are lineage-depleted cell populations, cell populations that were selectively expanded in vitro, or HSCs transduced with a viral vector encoding an intact copy of a mutated gene. T-LYs cannot reconstitute hematopoiesis, but selected and/or genetically engineered T-LYs (e.g. CAR T cells) could erase leukemic cells. Here, HSCs include hematopoietic stem and progenitor cells. Cell lineages are symbolized using indicated colors as shown in the legend. GR = Granulocyte; MEG-E = megakaryocyte-erythrocyte; MO = monocyte, NK = natural killer; Ly = lymphocyte.