Long-term follow up will occur through 30 months after the last dose of BG9588. Mechanistic evaluations testing for allograft tolerance will be performed throughout the study including evaluations for allospecific T cell deletion, allospecific T cell anergy, and alloantibody production. The donor population for this study will include both living donors and cadaveric donors. This is being done to address the theoretical concern that ischemic reperfusion injury may negatively affect the efficacy of BG9588.