“…In situations where oxygen supply was insufficient, decreased culture viability, reduced metabolic activity, and finally a decreased productivity were observed (Kawakubo et al, 1994;Kurosawa et al, 2000;Ong et al, 1994;Racher et al, 1990;Yanagi et al, 1992). On the other hand, when oxygen supply was well controlled, significant improvements of PBR efficiency have been observed (Flendrig et al, 1997;Mitsuda et al, 1991;Racher and Griffiths, 1993;Wang et al, 1992). So, there is a need to develop a model that predicts how the oxygen concentration evolves at each point of a PBR.…”