To investigate the safety of partially matched related human placental-derived stem cells (HPDSC) administered in conjunction with umbilical cord blood (UCB) stem cells from the same donor in subjects with various malignant or nonmalignant disorders potentially curable with stem cell transplantation and to assess potential restoration of normal hematopoiesis and immune function in subjects with these disorders

Inclusion Criteria:

• suitable UCB collected from partially or fully HLA matched related donor
• subject requires umbilical cord transplantation

Exclusion Criteria:

• any condition, including the presence of laboratory abnormalities, which places the subject at unacceptable risk if he/she were to participate in the study or confounds the ability to interpret data from the study
• major anticipated illness or organ failure incompatible with survival from stem cell transplant

subjects requiring cord blood transplantation