The total cell expansion of human umbilical cord blood (CB) and adult bone marrow (BM) CD34(+)-enriched cells cultured in supplemented serum-free media, either over irradiated human feeder layers or in stroma-free systems, were characterized by a simple kinetic model using only two parameters: the specific cell expansion rate, mu, and the death rate constant, k(k). Both CB and BM cells can expand at approximately the same rate (0.21 day(-1)) in this culture system however, cell death depends on the presence of stroma and the environment in which the cells are cultured.