By Norton G. McDuffie
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Extra info for Bioreactor Design Fundamentals
Cell growth stops at zero substrate concentration, cells utilize secondary substrates, or cryptic growth involving endogenous me tabolism of cellular material from breakdown of other cells occurs. Substrate concentration changes at high substrate concentrations may have negligible effects on cell growth. Cell death may take place under all or perhaps only under selected conditions, and secondary metabolic states may be induced by various factors. The designer should consider all these influences when devel oping the model for any system.
Liquid droplet sizes depend on how the insoluble liquid is introduced, the degree of mixing, and the properties of the two liquids. Surfactants, either added to the medium or produced by the reacting system, can significantly affect the transfer either by speeding up or slowing down rate, depending on the system. Usually, kLa values are reported for experimental systems, especially for design purposes. 50 Bioreactor Design Fundamentals MASS TRANSFER AT SOLID-LIQUID INTERFACES With one major difference, the considerations for solid-liquid interfacial trans port are the same as those for liquid-liquid interfacial transport.
9 culture. Kinetics of Cellular Multiplication 53 production of new cells is either zero or equal to the rate of death of cells. In most cases the death, or decline, phase—in which the cell population begins to decrease—follows the stationary phase. The logarithmic growth phase is the one most amenable to mathematical treatment. The models developed for this phase are even extended in modified form to other growth phases because of their relative simplicity. In the loga rithmic growth phase the general model for average cells is a simple first-order growth rate equation: f - ,«.