Bubble-column design for growth of fragile insect cells

A mathematical model for the design of bubble-columns for growth of shear-sensitive insect cells is presented. The model is based on two assumptions. First, the loss of cell viability as a result of aeration is a first-order process. Second, a hypothetical volume X, in which all viable cells are killed, is associated with each air bubble during its lifetime. The model merely consists of an equation for k _d, the first-order death-rate constant, and A _min, the minimum specific surface area of the air bubbles to supply sufficient oxygen. In addition to X, the equation for k _d contains the air flow F, the air-bubble diameter d _b, the diameter D and the height H of the bubble column. This equation has been experimentally validated. Comparison of the equations for k _d and A _min shows that especially H is the key parameter to manipulate in bubble-column design in order to meet the demands set by A _min and k _dg, the first-order growth-rate constant. It is concluded that net growth of cells is enhanced as size and height of the bubble column increase.