Continuous production of a recombinant murine granulocyte-macrophage colony-stimulating factor (GM-CSF) by Saccharomyces cerevisiae strain XV2181 (a/a, Trp 1) containing plasmid p alpha ADH2 and immobilized on porous glass beads in a fluidized bed bioreactor was studied. Kinetic models for plasmid stability, cell growth, and protein production in the three-phase fluidized bed bioreactor were developed and used to study the effects of solid loading or cell immobilization on plasmid stability and recombinant protein production. With increasing cell immobilization or solid loading in the bioreactor, plasmid stability and protein production improved significantly. The improvements could be attributed to the decreased theta value, which is the plasmid loss probability during cell division and is an indication of segregational instability of the recombinant cell, and the increased a value, which is the ratio of the specific growth rate of a plasmid-carrying cell to that of a plasmid-free cell and is indicative of competitive stability of the recombinant cell culture. theta decreased from 0.552 to 0.042 and a increased from 0.351 to 0.991 when solid loading in the bioreactor was increased from 5% (v/v) to 33%. The model simulation also showed that the specific growth rate of cells in the bioreactor was lower at higher solid loading. This indicated that there was significant mass transfer limitation, particularly for oxygen transfer, when the total cell density in the bioreactor was high at high solid loading.