Periodic and Chaotic Solutions for a Model of a Bioreactor with Cell Recycle

Modeling of bioreactor with cell recycle based on a pseudo-homogeneous floc model is proposed to predict complex dynamic behavior. The model is based on interactive kinetics between substrate and dissolved oxygen, and takes into account the external mass transfer resistance around the biological floc. The investigation of the static and dynamic bifurcation of the model shows that periodic as well as non-periodic behavior occur for some range of feed conditions and dissolved oxygen levels, as confirmed by several experiments studies reported in the literature. The ability of the proposed model to predict periodic behavior is investigated over a wide range of model parameters.