The thesis is divided into two main sections investigating growth and differentiation in cultured cell lines. Investigations were carried out into the establishment of serum-free media (SFM) for the long-term subcultivation of the industrially important cell line, CHO-K1. When the cell line was cultured in a high calcium containing medium, cellular growth was found to be inhibited after 4 to 6 passages on average. However, by growing the cells in a low calcium medium, continuous cultivation was possible. It appears that the calcium concentration in the SFM is critical to this long-term growth. The SFM developed were also capable of supporting growth of CHO-K1 in suspension culture with Pluronic F68 supplementation and in microcarrier cultur...